What is 1 12/20 as a percentage
Answers
Step-by-step explanation:
step 1. 1-12/20 = 1.6
step 2. 1.6 = 160%.
Related Questions
Composite Functions
Given f(x) = x + 3 , g(x)=x^2 , find
g(f(x))
Answers
Answer:
g(x+3)=x2+6x+9 (I think)
Circle the correct answer for each of the following and then support your answer by explaining why. Comparative currency is value of USD. (15 marks) i. When the CAD value is higher, R.O.W. buys more/less Canadian exports. Why? ii. When CAD value is higher than USD, the R.O.W. demands more/less CAD. Why? iii. When CAD value is higher Canadians demand/supply more CAD. Why? iv. When CAD value is higher, quantity demanded of CAD increases/decreases. Why? v. When the value of the CAD is higher, Canadians buy more/less imports. Why?
Answers
1. This increased price makes Canadian exports less attractive and reduces the quantity of Canadian exports demanded by the R.O.W.
2. The R.O.W. demands fewer CAD because it becomes more expensive for them to purchase Canadian currency.
3. Canadians demand more CAD, as they perceive it to be a stronger and more valuable currency.
4. This increased cost can lead to a decrease in the quantity demanded of CAD.
5. Canadians can afford to buy more imports, leading to an increase in their demand for imported goods.
i. When the CAD value is higher, R.O.W. buys fewer Canadian exports.
Explanation: When the CAD value is higher, it means that the Canadian dollar is stronger compared to the R.O.W.'s currency (likely the USD). As a result, Canadian exports become relatively more expensive for buyers from the R.O.W. This increased price makes Canadian exports less attractive and reduces the quantity of Canadian exports demanded by the R.O.W.
ii. When CAD value is higher than USD, the R.O.W. demands fewer CAD.
Explanation: When the CAD value is higher than the USD, it means that the Canadian dollar is stronger compared to the US dollar. In this case, the R.O.W. would need to pay more of their own currency to acquire one unit of CAD. As a result, the R.O.W. demands fewer CAD because it becomes more expensive for them to purchase Canadian currency.
iii. When CAD value is higher, Canadians demand more CAD.
Explanation: When the CAD value is higher, it means that the Canadian dollar is stronger compared to other currencies, including foreign currencies. In this scenario, Canadians find it more favorable to hold their currency as it has a higher value. Therefore, Canadians demand more CAD, as they perceive it to be a stronger and more valuable currency.
iv. When CAD value is higher, the quantity demanded of CAD decreases.
Explanation: When the CAD value is higher, it means that the Canadian dollar is stronger. In this case, individuals and entities that require CAD for transactions may find it more expensive to acquire the currency, as they would need to exchange more of their own currency to obtain one unit of CAD. This increased cost can lead to a decrease in the quantity demanded of CAD.
v. When the value of the CAD is higher, Canadians buy more imports.
Explanation: When the CAD value is higher, it means that the Canadian dollar is stronger compared to other currencies. This higher value of CAD makes imports relatively cheaper for Canadians, as they need to exchange fewer CAD to purchase goods and services denominated in foreign currencies. As a result, Canadians can afford to buy more imports, leading to an increase in their demand for imported goods.
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write the formula for the volume of a square prims V=1/3 S2H, in terms of H. Then find the height a square prism with volume V=60cm3 and side s=6cm
Answers
Given the formula
\(V=\frac{1}{3}s^2h\)This is the formula to obtain the volume of a square pyramid, not a square prism; we will solve the question using the formula above, nonetheless.
Solve for h as shown below
\(\begin{gathered} \Rightarrow3V=3(\frac{1}{3}s^2h)=s^2h \\ \Rightarrow\frac{3V}{s^2}=\frac{s^2h}{s^2}=h \\ \Rightarrow h=\frac{3V}{s^2} \end{gathered}\)The answer is h=3V/s^2.
Set V=60cm^3, and s=6cm; then,
\(\begin{gathered} V=60\operatorname{cm}3,s=6\operatorname{cm} \\ \Rightarrow h=\frac{3(60cm^3)}{(6\operatorname{cm})^2}=\frac{180\operatorname{cm}3}{36\operatorname{cm}2}=5\operatorname{cm} \\ \Rightarrow h=5\operatorname{cm} \end{gathered}\)Therefore, the answer is h=5cm.
write the sentence as an absolute value inequality, then solve the inequality. twice a number $n$ is no less than $10$ units from $-1$ . the absolute value inequality is . question 2 the solution to the inequality is or .
Answers
Combining both cases, we find that the solution to the absolute value inequality is n ≤ -5.5 or n ≥ 4.5.
The absolute value inequality for the given sentence is |2n - (-1)| ≥ 10. This can be simplified as |2n + 1| ≥ 10.
To solve the inequality, we consider two cases:
Case 1: (2n + 1) ≥ 0
In this case, the inequality becomes 2n + 1 ≥ 10. Solving for n, we subtract 1 from both sides: 2n ≥ 9. Dividing both sides by 2 gives n ≥ 4.5.
Case 2: (2n + 1) < 0
In this case, we consider the absolute value of a negative number, which is equal to the positive opposite of that number.
Thus, the inequality becomes -(2n + 1) ≥ 10. Solving for n, we multiply both sides by -1 and reverse the inequality sign: 2n + 1 ≤ -10. Subtracting 1 from both sides, we get 2n ≤ -11. Dividing both sides by 2 gives n ≤ -5.5.
Combining both cases, we find that the solution to the absolute value inequality is n ≤ -5.5 or n ≥ 4.5.
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which of the following will cause a movement along the demand curve for chicken, a normal good, resulting in an increase in the quantity demanded?
Answers
A change in the price of chicken, the good's own price, will cause a movement along the demand curve for chicken, a normal good, resulting in an increase in the quantity demanded.
The demand curve for chicken represents the relationship between the price of chicken and the quantity of chicken demanded by consumers. The law of demand states that there is an inverse relationship between the price of a good and the quantity demanded, holding all other factors constant. In other words, as the price of chicken decreases, the quantity demanded of chicken increases, and vice versa.
A movement along the demand curve for chicken occurs when there is a change in the price of chicken. When the price of chicken decreases, ceteris paribus, consumers are willing to purchase more chicken at the lower price, resulting in an increase in the quantity demanded along the demand curve. Conversely, when the price of chicken increases, consumers are willing to purchase less chicken at the higher price, resulting in a decrease in the quantity demanded along the demand curve.
Other factors that can shift the demand curve for chicken include changes in consumer income, the prices of substitute or complementary goods, and changes in consumer preferences. However, these factors cause a shift in the entire demand curve, rather than a movement along the curve.
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9)
12, 46, 32, 18, 26, 41, 46
Mean :
Mode :
Median :
Range:
Answers
Answer:
answer below
Step-by-step explanation:
1) mean: divide the total value of numbers by the number of variables.
12 + 46 + 32 + 18 + 26 + 41 + 46 = 221 / 7 = 31.5714285714 = 32 or 31.6
2) mode: most frequent #
So in this case you can just look at what number is repeated the most, which is 46 since it’s repeated twice.
3) median: the middle # in the list of #’s when ordered lowest to highest.
Lowest — highest
12 18 26 32 41 46 46
4) range: the difference between the lowest and highest # in the list
Lowest - 12
Highest - 46
46 - 12 = 34
The net for a cylindrical candy container is shown the container was covered in plastic wrap during manufacturing how many square inches of plastic wrap were used to wrap the container write the answer in terms of pi
7.92pi square inches
7.2pi square inches
3.06pi square inches
2.34pi square inches
Answers
Answer:
What Grade Level is This Supposed to Be?
has been hired to build a wooden fence. He plans to use a post hole digger to o the holes for the posts. Because of the type of soil, Levi only starts the holes, fills them with water, and then plans to return the next day to finish the job. When Levi begins the next day, each hole is 3 inches deep. Each time he uses the post hole digger, he removes 2 inches of soils
Answers
Number of Excavation Height of Soils(inches)
0 3 ins
1 5 ins
5 13 ins
10 23 ins
What are Word Problems ?A word problem is a type of mathematics exercise where the majority of the issue's context is supplied in spoken language as opposed to mathematical notation.
A math word problem is a question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."
In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
It is already noted that when Levi starts digging the hole is already 3 inches dip with soil
In each excavation he digs 2 inches of soil each
So, when number of Excavation is :
Zero : the inches of soil is 3 inches
One : the inches of soil is 3+2 = 5 inches
Five : the inches of soil is 3+2*5 = 13 inches
Ten :the inches of soil is 3 + 2*10 = 23 inches
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Partial Derivative Applications, Vectors and Matrices
If z = F(u, v, w) where u = r 2 , v = −2s 2 , and w = lnr + lns,
find ∂z/∂r and ∂z/∂s.
Answers
The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.
To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.
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HELP PLEASE
A snowstorm started at midnight. For the first 4 hours snowfall is at an average rate of 1/2 in per hour. For the next 6 hours the average rate was 1 inch per hour. It stoppped snowing for three hours then it started snowing again at an average of 1/2 inch per hour for the next four hours until the storm is over. Determine the average rate of change
Answers
Answer: About every 4 to 6 hours it stops for about three hours with an average of 8 in per every time it snows
sorry if this dosent answer and if it dosent be more specfic next time
Rollin and Sandra want to buy a home priced at $265,000. They plan to finance this amount less the down payment
required. Rollin and Sandra have a combined annual income of $83,600 and have saved $53,000. They have a
recurring debt of $582. Use a 20% down payment and the 28/36 ratio to determine if Rollin and Sandra are eligible for
a loan. What would you advise them to do if they are not eligible?
Answers
Answer:
Rollin and Sandra will not be eligible for a loan. Since 20% of $265,000 is $53,000, they have the required down payment.The recurring debt they have exceeds the allowable amount of $557. Rollin and Sandra should work on reducing their recurring debt.
Step-by-step explanation: this is what i put on the practice
Based on the 28/36 rule, the Rollin and Sandra family are eligible for the mortgage loan of $212,000.
Data and Calculations:Price of home = $265,000
Required down payment = 20% or $53,000
Amount saved = $53,000
Combined annual income of Rollin and Sandra = $83,600
Recurring debt = $582 per month
Annual recurring debt = $6,984 ($582 x 12)
The Rollin and Sandra family will need to finance $212,000 ($265,000 - $53,000) of the home price.
At 6% interest rate for 30 years, the Rollin and Sandra household will pay $1,271.05 monthly or $15,252.60 yearly. This gives a total annual debt payment of $22,236.60 ($6,984 + $15,252.60).
Thus, based on the 28/36 rule, the Rollin and Sandra family are eligible for the mortgage loan of $212,000.
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which of these pyramids do you think has the greater surface area? a. square pyramid: the base is 10 cm by 10 cm and the triangular faces have a heigh of 8.66 cm. b. riangular pyramid: all the faces are equilateral traingles with a base of 10 cm and a height of 8.66 cm.
Answers
The triangular pyramid has a greater surface area than the square pyramid.
The surface area of a pyramid depends on the shape and dimensions of its base as well as its height and slant height. In this case, the square pyramid has a square base with sides of length 10 cm and four equilateral triangular faces with a height of 8.66 cm. The triangular pyramid has an equilateral triangular base with sides of length 10 cm and three identical equilateral triangular faces, each with a height of 8.66 cm.
To calculate the surface area of the square pyramid, we can first find the slant height of each triangular face using the Pythagorean theorem:
slant height = sqrt(10^2 + (8.66/2)^2) = 10.82 cm
Then, we can calculate the area of each triangular face as:
area = (1/2) * base * height = (1/2) * 10 cm * 8.66 cm = 43.3 cm^2
And finally, the total surface area of the pyramid is:
total surface area = area of base + 4 * area of triangular faces
= 10 cm * 10 cm + 4 * 43.3 cm^2
= 600.8 cm^2
To calculate the surface area of the triangular pyramid, we can use the formula:
surface area = area of base + 1/2 * perimeter * slant height
The area of the equilateral triangular base is:
area = (sqrt(3)/4) * base^2 = (sqrt(3)/4) * 10 cm^2 ≈ 21.65 cm^2
The perimeter of the base is simply 3 times the length of a side, or 30 cm. The slant height of each triangular face is 8.66 cm, so the surface area of the pyramid is:
surface area = 21.65 cm^2 + 1/2 * 30 cm * 8.66 cm
= 21.65 cm^2 + 130.0 cm^2
= 151.65 cm^2
Therefore, the triangular pyramid has a greater surface area than the square pyramid.
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Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Use the letters given in parentheses to form the translations.
If heroin is legalized, then its use may increase but criminal activity will decline. (L, U, C)
Answers
The entire statement becomes L → (U ∧ ¬C), which means "if L is true, then (U ∧ ¬C) is also true."
To translate the given statement into symbolic form using the given letters, we can represent the statements as follows:
- L: Heroin is legalized
- U: Its use may increase
- C: Criminal activity will decline
Now, let's translate the statement: "If heroin is legalized, then its use may increase but criminal activity will decline."
Symbolic form: L → (U ∧ ¬C)
Here's the step-by-step explanation:
1. "If heroin is legalized" corresponds to L.
2. "Its use may increase" corresponds to U.
3. "Criminal activity will decline" corresponds to ¬C (not C, since criminal activity declining is the opposite of C).
4. "Then its use may increase but criminal activity will decline" can be translated as (U ∧ ¬C), which means "U and ¬C" (both U and ¬C must be true).
5. Finally, the entire statement becomes L → (U ∧ ¬C), which means "if L is true, then (U ∧ ¬C) is also true."
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Austin is watching a football game.His team loses 9 yards then gains 5 yards.He doesn't watch the next play, but afterwards he sees that his team now has a total loss of 1 yard.How many yards did the team gain or lose on the play austin missed?
Answers
Answer:
His team gained 3 yards on the play he missed.
Step-by-step explanation:
they loss 9 and then gained 5 after that when austin missed the play they gained 3 more yards.
For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest percent
chart is in the photo
Answers
Percentage of data within 2 population standard deviations of the mean is 68%.
To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.
The mean can be found by summing all the values and dividing by the total number of values:
Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68
To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.
Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98
Standard Deviation = sqrt(139.98) = 11.83
Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.
Range = 2*11.83 = 23.66
The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:
Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34
Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:
Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).
Therefore, approximately 68% of the data falls within two population standard deviations of the mean.
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What is the surface area of this rectangular prism?
Answers
Answer:
1504
Step-by-step explanation:
\(SA= 2(wl+hl+hw)\\SA=2(20*16+12*16+12*20)\\SA= 1504\)
What type of activities do you like to do and why? How can these activities help your personal physical fitness?
Answers
Answer:
sports because sports is fun and you can win stuff and also they can keep you in shape easy
Step-by-step explanation:
Answer:
I like to play basketball and play with my dogs. They could help my personal physical fitness by bettering my weight and stamina.
Step-by-step explanation:
A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant between the number of cans made and the number of sheets of metal used is
.
Answers
Answer: 1 sheet of metal is equivalent to 18 cans
Step-by-step explanation:
If you divide 36/2 you get 18 and if you divide 180/10 you also get 18. So the proportionality of cans made to the number of sheets of metal used would be 1:18
Answer:
18
Step-by-step explanation:
1 sheet is equivalent to 18 cans it is simple just divide
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue,
shown.
5 in.
2 in
9 in.
What is the area of the blue flap of the envelope?
O 14 in 2
O 18 in 2 45in2. 90in2
Answers
Answer:
14 inch ^2
Step-by-step explanation:
Area of a trapezium= (a+b) 2 times h
so side a= 5 inches
side b= 9 inches
then times by 2 times the height (2)
you can rearrange the formula to this- a + b/ 2 times height.
5+9/2 times 2= 14
I hope this helps, have a lovely day.
need help can’t figure it out!
Answers
Answer:
Step-by-step explanation:
This is a trick question, about the red marks again. those marks are important b/c they tell you that the lengths are the same, so that the angles MUST also be the same. That is , D and E are equal
so set up your equations with that info
180 = 84 +2p
now use your algebra skillz to solve
180-84 / 2 = p
96/2 = p
48 = p
see??
While studying the T- and B-cell immune suppressors, the nursing students learn that the most commonly used immune suppressant is:
Answers
The selection of the appropriate immune suppressant is made by healthcare professionals based on the specific needs of each patient.
The most commonly used immune suppressant in medical practice is a medication called "cyclosporine." Cyclosporine belongs to a class of drugs known as calcineurin inhibitors and is primarily used to prevent organ transplant rejection.
The activity of T-cells, which are a type of immune cell involved in the body's immune response.
Cyclosporine is also used in the treatment of various autoimmune diseases, such as rheumatoid arthritis and psoriasis, where the immune system mistakenly attacks the body's own tissues.
T-cell activity, cyclosporine helps to reduce the inflammatory response and prevent further damage to the affected organs or tissues.
It's important to note that there are several other immune suppressants available, and the choice of medication depends on the specific condition being treated, the patient's overall health, and individual factors.
A commonly used immune suppressants include corticosteroid methotrexate, azathioprine, mycophenolate mofetil, and tacrolimus.
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Complete question:
While studying the T- and B-cell immune suppressors, the nursing students learn that the most commonly used immune suppressant is what?
please help 50 points and and brainliest to however answers the fastest
Answers
Answer:
First option
Third option
Step-by-step explanation:
First simplify the given expression:
6 - x + 2x - 7 + 2x
6 + x - 7 + 2x
-1 + 3x or 3x - 1
Then find the other expressions that are equivalent to that
PLEASE HELP HURRY!!!!!!!!!
What is the length of PC¯¯¯¯¯?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.
____ cm
Description of drawing:
Circle A with a tangent and a secant. Point B at 11 o clock, point C at 12 o clock, and point D at 7 o clock are on the circle. Point P is at 11 o clock outside of the circle. Tangent P C and secant B D intersect at point P. Segment P B is labeled as 4 centimeters. Segment B D is labeled as 52 centimeters.
Answers
Answer:
PC = 14.42 cm
Step-by-step explanation:
If a tangent and secant are drawn from a point outside a circle, then the product of the lengths of the segments of the secant is equal to the square of the length of the tangent.
PC² = PB × BD
PC² = 4 × 52
PC² = 208
PC = \(\sqrt{208}\)
PC = 14.42 cm
The length of PC=14.42 cm.
when a tangent and secant are drawn from a point outside a circle, then the multiplication of the lengths of the segments of the secant is equal to the square of the length of the tangent.
What is the relation between the tangent and secant line?
PC² = PB × BD
Use the given value in above formula we get,
PC² = 4 × 52
PC² = 208
\(PC = \sqrt{208}\)
Therefore we get the value of PC is,PC = 14.42 cm.
Therefor the length of PC=14.42 cm.
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1. design an arithmetic logic circuit to perform the following addition: 11011 10111
Answers
To design an arithmetic logic circuit to perform the addition of the binary numbers 11011 and 10111, follow these steps:
1. Identify the binary numbers to be added: 11011 and 10111.
2. Create a circuit with five full adders (FA) connected in series. Full adders are required because we need to add two binary numbers and account for any carry generated during the addition process.
3. Connect the least significant bits (LSB) of both binary numbers to the input of the first full adder (FA1). In this case, the LSBs are 1 (from 11011) and 1 (from 10111).
4. Connect the carry output (Cout) of FA1 to the carry input (Cin) of the second full adder (FA2).
5. Repeat the process of connecting the binary inputs and carry outputs for the remaining full adders (FA3, FA4, and FA5) in the series.
6. The sum outputs (S) of each full adder represent the resulting binary sum of the two input numbers.
By following these steps, your arithmetic logic circuit will successfully perform the addition of the binary numbers 11011 and 10111.
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can someone please help me answer this !!
Answers
Answer:
Step-by-step explanation:
if a farm that’s for sale measures one and three-quarter square miles, how many acres is it?
Answers
The farm for sale measures 1120 acres.
How many acres are equivalent to one square mile?
1 square mile= 640 acres.
To convert square miles to acres, we need to know that there are 640 acres in one square mile.
Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:
1 and 3/4 square miles = 1.75 square miles
Number of acres = 1.75 square miles * 640 acres/square mile
Number of acres = 1120 acres
Therefore, the farm for sale measures 1120 acres.
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Help aspp please thank you
Answers
The equation of the line would be y = (-3/4)x + 5.
What is the slope-point form of the line?
For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be
y - y1 = m(x - x1)
The given equation is \(y=-\frac{3}{4}x-17\)
The required line is parallel to the given line.
and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4
And the required line passes through (8, -1)
so by using slope - point form of the line,
y - (-1) = (-3/4)(x - 8)
y + 1 = (-3/4)x - (-3/4)8
y + 1 = (-3/4)x + 24/4
y = (-3/4)x + (12/2 - 1)
y = (-3/4)x + 5
Hence, the equation of the line would be y = (-3/4)x + 5.
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What are the solutions to the inequality (x-3)(x=5)greater than or equal to 0
Answers
The solution of the inequality (x-3)(x-5) ≥ 0 is union of two intervals
(-∞,3] or [5,∞) that is x ≥5 or x≤3
What is an inequality and how to solve it?An inequality is a statement that compares two expressions using ≤, ≥, <, > .
We can solve an inequality by adding same number to both sides or by subtracting same number from both side. While adding or subtracting the sign of the inequality will not change.
Given inequality (x-3)(x-5) ≥ 0
It generates two cases either case1 is true or case 2.
Case1. (x-3)(x-5) ≥ 0 when (x-3) ≥0 and (x-5)≥0
⇒(x-3) ≥0 and (x-5)≥0
⇒ x ≥ 3 and x ≥ 5
⇒ x ∈ [3,∞) and x∈ [5,∞)
⇒ x ∈ [3,∞) ∩[5,∞)
⇒ x ∈ [5,∞)
∴ x is greater than or equal to 5
Case 2: (x-3)(x-5) ≥ 0 when (x-3) ≤0 and (x-5)≤0
⇒(x-3) ≤0 and (x-5)≤0
⇒ x ≤3 and x ≤ 5
⇒ x ∈ (-∞,3] and x∈ (-∞,5]
⇒ x ∈ (-∞,3] ∩ (-∞,5]
⇒ x ∈ (-∞,3]
∴ x is less than or equal to 3
Solution of the given inequality is case 1 or case 2
⇒ x ∈ [5,∞) or x ∈ (-∞,3]
⇒ x x ∈ (-∞,3] ∪ [5,∞)
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A sign along the road has these measurements. What is the area of the sign? 35 and 20
Answers
Answer: 700
Step-by-step explanation:
35 x 20 = 700
Answer:
350
Step-by-step explanation:
b
7. Joni has 4 yards of ribbon. How many centimeters is that? 1 inch ~ 2.54 centimeters, 1 yard = 3 feet, 1 foot = 12 inches *
Answers
Answer:
365.76 cm
Step-by-step explanation:
Let's go down units one by one
1 yard = 3 feet
1 yard / 3 feet = 1
3 feet / 1 yard = 1
multiply 4 yards by 1 to ensure equality, but put the yard unit at the bottom so the yards cancel out
4 yards * 1 = 4 yards * 3 feet / 1 yard = 12 feet
1 foot = 12 inches
12 inches / 1 foot = 1
12 feet * 12 inches / 1 foot = 144 inches
1 inch = 2.54 cm
2.54 cm / 1 inch = 1
144 inches * 2.54 cm / 1 inch = 365.76 cm