Paul bought 2.25 meters of wood to make 5 shelves of equal length . What is the length of each shelf ? show your work on a picece of paper
Answers
Answer:
Length of each shelf is 0.45 meters
Step-by-step explanation:
Given
\(Total\ Length = 2.25\ meters\)
\(Shelves = 5\)
Required
Determine the length of each shelf
This is calculated by dividing the total length by number of shelves as thus:
\(Length = Total\ Length/Number\ of\ Shelf\)
\(Length = 2.25m /5\)
\(Length = 0.45m\)
Hence;
Length of each shelf is 0.45 meters
Answer:
0.45
Step-by-step explanation:
Related Questions
Find the sum of the given integers. 7 + (-8) + 2 + (-1) =
Answers
Answer:
0
Step-by-step explanation:
7 + (-8) + 2 + (-1)
is the same as:
7 - 8 + 2 - 1
Simplify these:
-1 + 1
Solve:
0
50 POINT REWARD!!!!!!!!!!!
Constance is planning to pay for part of her college using a $12,000 student loan. She is comparing the total costs of two loan options. Option A is to borrow the $12,000 for 5 years at 4.75% annual compound interest. Option B is to borrow the $12,000 for 4 years at 5% annual compound interest. Which of the following is closest to the difference in total cost of Option A compared to Option B?
A. $450.00
B. 867.72
C. $529.87
D. $547.84
Answers
Answer:
Step-by-step explanation:
\(A=P(1+r)^t\\ d=12000((1.0475)^5-(1.05)^4\\ \\ d=\$ 547.84\)
Graph the line with slope
4/3
and y-intercept -9.
Answers
The graph is shown in the attached image.
The graph of the line is a straight line with points on are: (0, -9), (3, -5) and (6, -1).
Given that a line has a slope of 4/3 and the y-intercept is -9, we need to graph the line,
To graph the line with a slope of 4/3 and a y-intercept of -9, we can use the slope-intercept form of a linear equation, which is y = mx + b.
Here, the slope (m) is 4/3, and the y-intercept (b) is -9.
Start by plotting the y-intercept, which is the point (0, -9).
Next, use the slope to determine the direction of the line. The slope 4/3 means that for every 4 units you move up, you need to move 3 units to the right.
So, from the y-intercept (0, -9), move up 4 units and then move to the right 3 units to find the next point on the line. This point would be (3, -5).
Repeat this process to find more points on the line. Move up 4 units and to the right 3 units from the previous point (3, -5) to get (6, -1).
You can continue this process to find more points if desired.
Once you have a few points, connect them with a straight line to graph the line.
The graph of the line with a slope of 4/3 and a y-intercept of -9 is attached in the solution.
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PLS HELPPPPP!!!!!!!!! DUE TODAY!!!!!! 100 points and brainliest if correct!!!! pls answer all of them!
Answer and solve the proportions then the percent equation.
what is the percent equation for the following:
6.5% of $400 is
what number?
12.5% of $100 is
what number?
130 is what percent
of 650?
$5.40 is what
percent of $4.50?
$8.40 is what
percent of $28?
56% of what
number is $21.84?
$495 is 55% of
what number?
144 is what percent
of 240?
Answers
Answer:The first question requires the calculation of the 6.5% of $400, which is equal to $26.
The second question requires the calculation of 12.5% of $100, which is equal to $12.50.
For the third question, 130 is 20% of 650.
For the fourth question, $5.40 is 120% of $4.50.
For the fifth question, $8.40 is 30% of $28.
For the sixth question, 56% of 39 is $21.84
For the seventh question, $495 is 55% of $900.
For the last question, 144 is 60% of 240.
Step-by-step explanation:
Answer:
Step-by-step explanation:
26
12.5
20%
120%
30%
12.23
900
60%
...................................................................
Answers
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
Easy Question>>?????????????help
Answers
Answer:
thanswer to this is...................
Step-by-step explanation:
unknown
or 148 degrees
Answer:
148 degrees... if it's so easy then why u couldn't u answer it
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
Answers
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Simplify. 1/3(15d+ 3c) - 2(8c - 10d)
Answers
PT=3x+3 and TQ=6x-6
Use the figure to the right to find the value of PT. T is the midpoint of PQ
Answers
Answer:
PT = 12 units
Step-by-step explanation:
Given that,
PT=3x+3 and TQ=6x-6
T is the midpoint of PQ.
If T is mindpoint of PQ, it means,
PT = TQ
Substitute all the values,
3x+3 = 6x-6
Taking like terms together,
3x-6x = -6-3
-3x = -9
x = 3
So,
PT = 3x+3
= 3(3) + 3
= 9+3
= 12
So, the value of PT is equal to 12 units.
Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?
Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?
Rebecca had 9/10
of a yard of ribbon. Then she gave 7/20
of a yard to a friend. How much does she have left?
Answers
Answer:
\( \frac{9}{10} - \frac{7}{20} \\ \frac{9 \times 2}{10 \times 2} - \frac{7}{20} \\ \frac{18}{20} - \frac{7}{20} \\ \frac{18 - 7}{20} \\ \frac{11}{20} \\ 0.55\)
Step-by-step explanation:
rabeeca has 0.55 ribbon left.
Answer:
11/20
Step-by-step explanation:
first you need to multiple 9/10 by 2/2 to get 18/20 and then 7/20 multipled by 1/1 and for the last step do 18-7 to get 11 so therefore the answer is 11/20
A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answers
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
Find the domain of the rational expression: x-5/3x-6
Answers
Answer:
\(Domain= \{x<2\ or\ x>2\}\)
Step-by-step explanation:
Given
\(\frac{x - 5}{3x - 6}\)
Required
The domain
Equate the denominator to 0
\(3x - 6 = 0\)
Solve for x
\(3x = 6\)
\(x = 2\)
This means that the value of x cannot be 2 for the given function.
So, the domain is:
\(Domain= \{x<2\ or\ x>2\}\)
Out of 120 customers asked at a restaurant, 38 rounded their bill up to the next whole dollar and donated the difference to the local Children's Hospital. How many consecutive customers must round up the bills so that the percentage of people who donated increases to 50%?
A. 44 customers
B. 40 customers
C. 36 customers
D. 32 customers
Answers
Using proportions, it is found that 44 consecutive customers must round up the bills so that the percentage of people who donated increases to 50%, so option A is correct.
A proportion is the number of desired outcomes divided by the number of total outcomes.
Considering that 38 out of 120 customers rounded their bill up, with x customers added, the proportion will be of 38 + x out of 120 + x.
The desired proportion is 0.5, hence:
\(\frac{38 + x}{120 + x} = 0.5\)
\(38 + x = 60 + 0.5x\)
\(0.5x = 22\)
\(x = \frac{22}{0.5}\)
\(x = 44\)
44 customers, so option A.
A similar problem is given at https://brainly.com/question/20571459
how would i anwser this? help pls!
Answers
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
what is (2.49 x 10^4)\(3.0x 10^2) written in scientific notation?
a. 8.3 x 10^1 b. 0.83x 10^2 c. 83x 10^2 d. 830x 10^1
Answers
The rules of scientific notation are similar to the laws of exponents (if u know them) in the sense that: 10^a / 10^b is equal to 10^(a-b)
So, 10^4 / 10^2 = 10^(4-2) = 10^2.
Then, you divide 2.49 by 3.0 and you get 0.83. But correct scientific notation requires the decimal to be one digit right of the first significant digit, so 0.83 becomes 8.3 and when you change the decimal place you also have to change the scientific notation. So 0.83 x 10^2 becomes 8.3 x 10^1 because we are moving the decimal place to the right. When the decimal moves to the right the power of ten decreases and when the decimal moves to the left it increases.
Hope this helped!
What is the sum of all interior angles of a 35-sided regular polygon?
6,120°
5,940°
180°
170°
Answers
Answer:
OptionB) \(5940\)
Step-by-step explanation:
Formula to Find the Interior Angles of Any Polygon
\((n-2)\)x\(180\)
\((35-2)X180\\5940\)
Answer:
The formula that calculates the sum of the interior angles of a regular polygon is equal to : (n-2)180° ; n represents the number of sides of the polygon.
So now, we've to replace n by 35 in the formula :
(35-2)180°
And by carrying out the calculation, we obtain: 5940°.
Therefore, the sum of all the interior angles of a regular 35-sided polygon is 5940°.
Read this entry from a blog about service dogs. Lexie, an eight-month-old black Labrador retriever, is sleeping quietly at my feet. I can’t help but think that her soft, velvety ears and alert brown eyes would make her the perfect "doggie model" for pet magazines and pet store ads. However, Lexie will soon have a much more important job to do. In a few months, she will become the loyal companion and service dog for a young man who has been blind since birth. She will help him board public transportation, such as buses, subways, and trains, and she will help him safely cross busy intersections. Lexie will even help the young man avoid obstacles, such as high curbs and low overhangs. Like all dogs in our organization, Lexie has undergone months of specialized training to help a visually impaired person lead an active and independent life. Which statement about this blog is true? Its primary purpose is to persuade; its secondary purpose is to inform. Its primary purpose is to inform
Answers
Answer:
The True Statement about this blog is stated below:
Its primary purpose is to inform.
Step-by-step explanation:
When an author's or speaker's purpose is to inform, the author or speaker usually enlightens their readers or audience about real-world topics. The best way they achieve this is by providing lots of facts about the topic. Informational texts or speeches are oriented towards imparting information or knowledge to the reader or audience with the purpose of educating them on a particular topic. This is clearly achieved in this passage about Lexie. Facts are provided about Lexie's ability to help the visually impaired person, including the specialized training that the dog has undergone recently.
A sign in a bakery gives these options:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
a. Find each unit price to the nearest cent.
Answers
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
Define unitary methοd.Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.
Here,
We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:
Twelve cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> Unit cοst: $29 fοr 12 cupcakes.
=> $2.42 is the unit cοst per cupcake.
Tο make 24 cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> 24 cupcakes equals $56 fοr the unit.
=> $2.33 is the unit cοst per cupcake.
50 cupcakes =
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> $129 fοr a unit οf 50 cupcakes.
=> Unit cοst: $2.58 fοr each cupcake
As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
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Question Warm-Up circle is described by the equation (x-3)² + (y + 2)2 = 25. What are the center and radius of the circle pe the correct answer in each box. Use numerals instead of words. The center of the circle is ( The radius of the circle is Submit S
Answers
Answer:
The center of the circle is (3, -2) ((three, negative two)).
The radius of the circle is 5 (five).
Find x, Find y, the Find z
Answers
Answer:
x=77
y=58
z= 122
Step-by-step explanation:
Consider the line y=7x-1.
Find the equation of the line that is perpendicular to this line and passes through the point (-2, 4).
Find the equation of the line that is parallel to this line and passes through the point (-2, 4).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Answers
Answer:
Step-by-step explanation:
Rearrange tiles on the board to represent equivalent
expressions.
Which expressions are equivalent to 6 +(-x) + 2x + (-7)
+ 2x? Check all that apply.
Ox+ x + 6-7 + x
+
2x + 2 + x
O 3-X + 2x - 4 + 2x
-1-1-1-
DX-1
Ox+1
Board sum: 6 + (-x) + 2x + (-7) + 2x
Answers
Answer:
Its a and c
Step-by-step explanation:
Did it and got it right
The equivalent expression to 6 + (-x) + 2x + (-7) is x - 1
How to find equivalent expressionGiven expression
6 + (-x) + 2x + (-7)
= 6 - x + 2x - 7
= x - 1
Options
x + x + 6 - 7 + x= 3x - 1
2x + 2 + x= 3x + 2
3 - x + 2x - 4 + 2x= 3x - 1
x - 1True
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The ratio of apples to oranges in a basket is 3 to 4. what fraction of fruit in the basket consists of apples?
Answers
Answer: 3/4 or 75/100
Step-by-step explanation:
3 divided by 4
Answer 3/4
Ration is 3:4
Fraction is 3/4
Fraction is also 75/100
Percentage is 75%
You want to model the weather as a binomial random variable, with probability 25% of sun tomorrow, 50% of clouds, and 25% of rain. This is a possible binomial random variable, because the probabilities sum to 1, making it a good PMF O not a binomial random variable, because you have more than two outcomes Obetter modeled as a Poisson random variable O good for binomial modeling because the days are independent O Cannot determine from available information
Answers
The correct answer is the first option, "not a binomial random variable, because you have more than two outcomes".
A binomial random variable must have the following properties:
1. A fixed number of trials, n.
2. Two possible outcomes.
3. The outcomes should be independent of one another.
4. The probability of each outcome should be fixed for every trial.
Here, although conditions 3 and 4 are being fulfilled, we do not know anything about the number of trials. Most importantly, condition 2 is not fulfilled. There are three possible outcomes, and the weather can be modeled by a multinomial distribution if conditions 1, 3, and 4 are met. But not binomial.
So, the correct answer is the first option, "not a binomial random variable, because you have more than two outcomes".
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Is ab parallel to cd ? Explain.
Yes, because both lines have a slope of .
Yes, because both lines have a slope of .
No, because the slopes of the lines are not equal.
No, because the slopes of the lines are not opposite reciprocals of each other.
Answers
Answer:
a
Step-by-step explanation:
4/3
Answer:
It is A:Yes, because both lines have a slope of 4/3.
Step-by-step explanation:
Hope this helps
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A helicopter company offers tours of the city. They charge $100 dollars initially, and then $50 for each additional person. The graph below shows the charges for a tour (T) based on the number of people (p).Write the equation of the line that relates the tour charges (T) to the number of people (p).
Answers
Answer:
100 + 50p = t or t = 100 + 50p
Step-by-step explanation:
We know that they charge 100 initially and then an addition 50 for each person.
We add 100 to 50 but we do not know the amount of people, which leaves it unknown (p)
The total cost (t) is also unknown which stays unknown until we calculate the amount of people.
Graph your salary and
Answers
A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.
How to write and graph an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x)=a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, your salary can be modeled or represented by the following exponential function;
\(f(n)=37000(1.06)^n\)
Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.
In conclusion, the rate of change of this exponential function is equal to 1.06.
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Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
Answers
x²-3x+1=0
O A. 3±√15
OB. 3+√5
3± √5
o c. 2121224
OD. 5±10
3
Answers
Answer:
X=3+-√5/3
Step-by-step explanation:
x=-b+-√b^2-4ac/2
=3+-√(-3)^2-4(1)(1)/2
Help Please!!! Use the associative property to explain why the following statement is true. Any number that has 9 as a factor also has 3 as a factor.
Answers
Answer:
Step-by-step explanation:
3x3=9
The statement is true that the number that has 9 as a factor also has 3 as a factor.
What is the associative property of addition?Suppose you've got 3 numbers a, b, and c.
Then, we have (a+b) + c = a + (b + c)
This property is called an associative property and it is called because we can associate b with a, or b with c without altering the value of the addition.
We have been given the phrase "Any number that has 9 as a factor also has 3 as a factor"
3 x 3 = 9.
Here using the associative property of multiplication;
a x b = b x a = ab
So, we can see that any number that has 9 as a factor also has 3 as a factor.
18 = 9 x 2
Or 18 = 3 x 3 x 2
Thus, the statement is true that the number that has 9 as a factor also has 3 as a factor.
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