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makvit [3.9K]
3 years ago
13

There are 24 girls in a class. The ratio of girls to boys is 3:8.

Mathematics
1 answer:
dangina [55]3 years ago
7 0

Answer:

64 boys.

Step-by-step explanation:

There are 3 girls for every 8 boys.

24/3 = 8

8 * 8 = 64

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Aneli [31]
Hello there! I can help you!

7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.

8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.

9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
6 0
3 years ago
What's 5/6 divided by 2
natali 33 [55]
5/6÷2/1
=5/6×1/2
=5/12 i hope this helps
7 0
3 years ago
5y - 3z + 4y -1z - 3y; y = 3 and z = -2
Dafna11 [192]
5(3)-3(-2)
15-(-6)=
15+6=21
a negative plus a negative is a positive so its 21
4(3)-3(-2)
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8 0
3 years ago
Complete the two-column proof by providing a reason for each of the five statements.
mrs_skeptik [129]

Answer:

Reason:

1) assumptions given

2) RUTS is a rectangle

3) RUTS is a rectangle

4) because:

+) ∠STU and ∠SRU are the right angles

+) RU = ST; UT = RS

=> ΔURS ≅ ΔSTU (SAS)

5) because  ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT

Step-by-step explanation:

5 0
2 years ago
Owning a small and successful business isn't easy! There is a monthly cost of shipping supplies and
andriy [413]

Answer:

C(x)=24,000+19,200x

Step-by-step explanation:

<u>Mathematical Modeling</u>

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

\boxed{C(x)=24,000+19,200x}

7 0
3 years ago
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