The diagram has a scale of 1cm to 4km as the problem said, then we can write
\(1\operatorname{cm}\colon4\operatorname{km}\)If we want to find the scale factor, we must put 4km in cm, it will be 400000 cm, therefore
\(1\operatorname{cm}\colon400000\operatorname{cm}\)Now we have them in the same units, we can "cut" the units on both sides, and we have
\(1\colon400000\)We can also write it as a fraction:
\(\text{scale factor=}\frac{1}{400000}\)Two different types of injection-molding machines are used to form plastic parts. Two random samples, each of size 300, are selected. 15 defective parts are found in the sample from machine 1 and 8 defective parts are found in the sample from machine 2. Is it reasonable to assume that both machines have the same defective rate
Answer:
No it is not since there is 15 defectice parts in 2machines and there is 8 broken parts in the one machine
Hope This Helps!!!
A construction company can remove 3/8 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site
Answer:
64 hours
Step-by-step explanation:
(3\8) times 64 (hours) equals 24 (tons of dirt)
sirs is making lemonade to sell at her lemonade stand. she made a batch of 8 pitchers of lemonade using 24 lemons, 12 cups of sugar, and 20 liters of water. she decides to make a second batch of 6 pitchers of lemonade. how many liters of water should she use to make the second batch of lemonade?
Answer:15
Step-by-step explanation: 20 divided by 8=2.5 x 6=15
each juice bottle contains 8.6 fluid onces. how many fluid of juice are in a carton with 12 bottles
Answer:
12x8.6=103.2 fluid ounces
Step-by-step explanation:
Answer:
103.2 fluid
Step-by-step explanation:
Per - 8.6 fluid
So if 1 bottle ve 8.6 fluid we multiply by 12 to find out how much fluid there is in 12 bottles
8.6 * 12 = 103.2 fluid
Select all choices that describe rectangles with same area that are NOT congruent.
Answer:
Where are the options? This is kinda broad..
Answer:
Step-by-step explanation:
Luka spent $90 on a bike. This was 5/6 of his
savings. how much did he have left?
Answer:
$75
Step-by-step explanation:
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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if the area of a circle is 36 x 3.14 inches squared find its diameter
Answer:
36
Step-by-step explanation:
36 x 3.14 = 113.04
Since to find a diameter from the area, you need to divide by 3.14
113.04 divided by 3.14 = 36
But since its already there you can just figure out that 36 is the diameter and you don't have to do any calculating
Why is choosing a smaller unit of measure is more meaningful?
Pls explain due tomorrow!!!
Answer: Choosing a smaller unit of measure is more meaningful because it allows for more precise measurements. When using a smaller unit of measure, such as millimeters instead of centimeters, or seconds instead of minutes, you are able to capture more detailed information about the measurement. For example, measuring something in centimeters may give you a rough idea of the size, but measuring it in millimeters will give you more detailed information, which can be especially important in scientific or technical fields. Additionally, choosing a smaller unit of measure can be more meaningful when making comparisons or performing calculations, as it allows for greater accuracy.
Step-by-step explanation:
Hopes this helps you for Tomorrow!!
The probability of flipping a coin and having it land on heads is 1/2. If a coin is tossed 4 times, how many times can you expect it to land on heads?
You can expect the coin to land on heads 2 times when it is tossed 4 times, on average.
Ike's kitten Stripe eats ¼ can of cat food daily. His cat Jack eats ½ can of food per day. Cat food costs $0.50 per can. How many cans will Ike need to feed both of his cats for 5 days? 21 days? 60 days? How much will it cost?
Answer: in 5 days they would eat 3 3/4 cans of cat food which costs 1.875 USD. in 21 days they would eat 15.75 cans of cat food which costs 7.875 USD. In 60 days they would eat 45 cans of cat food which costs $22.50.
A closet in Shivani's house is 2 yards by 1 yard. How much would it cost to put a new floor in the closet if the flooring costs $38.00 per square yard?
The amount it would cost to put a new floor in the closet is $76.00
Calculating how much it would cost to put a new floor in the closetFrom the question, we are to calculate how much it would cost to put a new floor in the closet
From the given information,
A closet in the house is 2 yards by 1 yard.
To determine how much it would cost to put a new floor in the closet,
First,
We calculate the area of the closet
Area of the closet = 2 yard × 1 yard
Area of the closet = 2 square yards
Now,
From the given information,
The flooring costs $38.00 per square yard
Thus,
The amount it would cost to put a new floor in the closet is
2 × $38.00
= $76.00
Hence,
The amount it would cost is $76.00
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A circle has a diameter of 4.5 cm. A larger circle has a diameter of 24
cm. What is the approximate difference in the circumferences of the
two circles?
A 19.5 cm
B. 28.5 cm
C. 61 cm
D. 90 cm
The approximate difference in the circumferences of the two circles is: C. 61 cm.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 4.5
Circumference of circle, C = 14.13 cm.
For the larger circle, we have:
Circumference of circle, C = 3.14 × 24
Circumference of circle, C = 75.36 cm.
Difference = 75.36 cm - 14.13 cm.
Difference = 61.23 ≈ 61 cm.
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Robbie opens an account at a local bank by depositing $100. The account pays 2.4% interest, compounded weekly. He deposits $100 every week for 3 years.
b. Write the future value function if x represents the number of weeks.
c. Use a graphing calculator to graph the future value function.
d. Using the graph, what is the approximate balance after 2 years?
The equation of the future value function if x represents the number of weeks is \(= P((1+r/x)^{nt} - 1)/(r/x)\).
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
Robbie depositing= $100
Interest=2.4%
Time=3 years.
According to given question we have
P = periodic payment = $100 / week
r = interest rate = 2.4%, compounded weekly
t = 3 years
x = 52 weeks (# of times interest is compounded per year)
To write a equation we have
B = Future Value
\(= P((1+r/x)^{nt} - 1)/(r/x)\)
Therefore, the equation of the future value function if x represents the number of weeks is \(= P((1+r/x)^{nt} - 1)/(r/x)\).
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please show steps for both problems thanks!
Please help me!!!! I will try to give brainliest!!!
Marcus is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Marcus cannot spend more than $50. Write and solve an inequality to find the most Marcus can spend on the items for each bag.
Starting inequality:
Ending inequality:
Answers:
Starting inequality: \(10(x+0.75) \le 50\)
Ending inequality: \(x \le 4.25\)
==================================================
Work Shown:
x = amount spent per bag, ignoring the bag fee
x+0.75 = amount per bag including bag fee
10(x+0.75) = total amount spent on the ten bags
This amount cannot be more than $50. This means 50 dollars is the highest we can go, aka the ceiling value.
That means we'd write \(10(x+0.75) \le 50\) as one possible starting inequality.
Let's solve for x
\(10(x+0.75) \le 50\\\\10x+7.5 \le 50\\\\10x \le 50-7.5\\\\10x \le 42.5\\\\x \le 42.5/10\\\\x \le 4.25\)
The most he can spend on the items for any single bag is $4.25, which is ignoring the $0.75 fee
If we tack that fee on, then he spends 4.25+0.75 = 5 dollars per bag and ten of such bags leads to 5*10 = 50 dollars total. The answer is confirmed.
How many 1/5s are in 4?
Answer:
20
Step-by-step explanation:
4÷1/5=20
5+5+5+5=20
assume that message is a string variable. write a statement to display its value on standard output.
To display the value of a string variable on standard output, you can use the `System.out.println()` statement in Java or the `print()` statement in Python. The statement should include the name of the string variable you want to display, which is "message" in this case.
In Java, the statement would look like this:
```java
System.out.println(message);
```
In Python, the statement would look like this:
```python
print(message)
```
Both of these statements will display the value of the "message" string variable on standard output.
In the attached image we can see how this would look like in each of the applications mentioned above.
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What is the volume of this rectangular prism?
1
cm
2
4 cm
ola
3
cm
cm3. Because this is hard
Step-by-step explanation:
Volume=length*width*height
V = (3/2)*(4)*(1/2)
= 12/4 = 3cm^3
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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2.
Elena has a
pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit. Which measurement is in ounces,
and which is in grams?
170
Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
What is measurement?
An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit.
We have to find the correct units from grams and ounces for these.
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
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Sweet Treats Bakery is placing an order for 1,496 kilograms of sugar. That is 10% more than the bakery requested in its last order. How much sugar did Sweet Treats Bakery order then?
If the 1496 kg order is 10% more than the previous order, it means that the 1496 kg order is 110% of the previous order. (We consider the previous order to be 100%, so we add the additional 10% to that.)
We can set up the proportion:
\(\dfrac{100\%}{110\%}=\dfrac{x}{1496}\)
This compares previous order percent and amount to the newest order percent and amount.
Solve this by multiplying both sides by 1496 to find x = 1360.
The previous order was 1360 kg.
What is the slope of the line represented by the given table?
X -14 0 7 14 21
y -6 2 6 10 14
write 50,722 in expanded form
Answer:
50,722 =
50,000
+ 0
+ 700
+ 20
+ 2
Step-by-step explanation:
What is the perimeter, P, of a rectangle that has a length of x + 5 and a width of y − 1? (1 point)
P = 2x + 2y + 8
P = 2x + 2y − 8
P = x + y + 4
P = x + y + 6
WILL GIVE BRAINLEIST
The perimeter of the rectangle whose dimensions are (x + 5) and (y - 1) is, P = 2x + 2y + 8The correct option from the given choices is A.What is a rectangular perimeter?The whole distance that a rectangle borders, or its sides, the cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.Given:A shape is a rectangle.And P is the perimeter of that rectangle.And the dimensions of the rectangle are (x + 5) and (y - 1).So, the perimeter of the rectangle,= 2 [(x + 5) + (y - 1)]= 2 [ x + y + 4]= 2x + 2y + 8Therefore, the perimeter of the shape is P = 2x + 2y + 8.
Which equation is equivalent to the statement?
Step-by-step explanation: I hope this helps. the blue, and the purple are in the same line with the green.
Answer:
USING A2+B2=c2
For the following right triangle, find the side length x.
DELL
Answer:
\(x=15\)
Step-by-step explanation:
Pythagorean theorem: \(c^2 = a^2 + b^2\), where c is the longest side (hypotenuse), a and b are the other sides of the right angled triangle.
In this question, c is labelled as \(x\).
Therefore, we can use the theorem to find \(x\).
\(x^2 = a^2+b^2\)
So, substitute in the other sides and solve for \(x\).
\(x^2 = (9)^2 + (12)^2\\x^2 = 81 + 144\\x^2 = 225\\x = 15\)
We can see the answer is correct because it is meant to be the largest side and \(15> 12>9\).
9 Continuously compounded interest: word problems 82J
Learn with an example
Gigi opened a savings account and deposited $600.00 as principal. The account earns 3%
interest, compounded continuously. What is the balance after 2 years?
Use the formula A = Pe", where A is the balance (final amount), P is the principal (starting
amount), e is the base of natural logarithms (~2.718 28), r is the interest rate expressed as
a decimal, and t is the time in years.
Round your answer to the nearest cent.
$
Submit
The final amount in Gigi's amount after two years is $637.102.
Compound interest is also known as interest on principal and interest is the practice of adding interest to the principal amount of a loan or deposit.
Gigi opened a savings account.
The principal amount she deposited, P = $600
The interest rate, r = 3% = ( 3 / 100 ) = 0.03
The formula for the compound interest is given as:
\(A=Pe^{rt}\)
Where A is the final amount, P is the principal amount, r is the interest rate, and t is the time in years.
Then the amount in the account after t = 2 years will be:
\(A=Pe^{rt}\\A = 600 \times e^{(0.03 \times 2)}\)
A = 600 × e⁰·⁰⁶
A = 600 × 1.06183654655
A = 637.101927927
A = $637.102
Therefore, the final amount in the account is $637.102.
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The vertices of a polygon are L(2,4) M (2,7) N (8,7) O (8,4) P(6 0), and Q(4,0)Graph the polygon. Then
find its area
According to the information, we can infer that the area of this polygon is 34 units².
How to find the area of the figure?To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.
Rectangle 1
6 * 3 = 18
Rectangle 2
2*4=8
Triangle 1
2 * 4 / 2 = 4
Triangle 2
2 * 4 / 2 = 4
Total Area
18 + 8 + 4 + 4 = 34
Based on the above, we can infer that the total area of the polygon is 34 ² units.
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I need the answers plsss. I will mark brainiest.
Answer:
number 1 is true
Step-by-step explanation: