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topjm [15]
3 years ago
12

A figure is shown with the given dimensions.

Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

\blue{A = 24~ft^2}

Step-by-step explanation:

This figure is a trapezoid with bases of 10 ft and 6 ft and height of 3 ft.

A = \dfrac{b_1 + b_2}{2}h

A = \dfrac{10~ft + 6~ft}{2} \times 3~ft

\blue{A = 24~ft^2}

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A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '
Liono4ka [1.6K]

Answer:

The commission is 943

Step-by-step explanation:

Take the price of the cat and multiply by the commission rate

23575 * 4%

23575 *.04

943

The commission is 943

6 0
3 years ago
Howard can type 70 words per minute. At this rate, how many words can he type in<br> 15 minutes?
m_a_m_a [10]

Answer:

1050

Step-by-step explanation:

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70x15

8 0
3 years ago
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Solve each equation .just write the number answer <br><br><br> 12.-b= 12.5<br><br> -0.1 = 10c
melamori03 [73]
The first one is b=-0.5
6 0
3 years ago
Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. The constant o
maria [59]

Answer:

Part 1) The equation is h=42y

Part 2) The number of hats Paula can knit is 42 per yard of yarn

Part 3) see the procedure

Part 4) For 378 yards of yarn Paula can knit 9 hats

Step-by-step explanation:

Let

h -----> the number of hats

y ----> the amount of yarn in yards  

k ---> constant of proportionality

Part 1) Write an equation to represent the relationship between the numbers of yards of yarn Paula has and the number of hats she can knit

we know that

A relationship between two variables, h, and y, represent a proportional variation if it can be expressed in the form h/y=k or h=ky

we have

k=42

substitute

h=42y

Part 2) What does the constant if proportionality 42, represent in this problem?

The constant of proportionality represent the slope of the linear equation

The value of the slope is 42\ \frac{hats}{yd}

That means that the number of hats Paula can knit is 42 per yard of yarn

Part 3) Complete the table showing the yards of yarn and the number of hats Paula can knit

we have

h=42y

Part a) For y=0 yd Find the value of h

substitute in the linear equation the value of y and solve for h

h=42(0)=0\ hats

Part b) For h=3 hats Find the value of y

substitute in the linear equation the value of h and solve for y

3=42y

y=3/42\ yd  ----> y=1/14\ yd

Part c) For y=210 yd Find the value of h

substitute in the linear equation the value of y and solve for h

h=42(210)=8,820\ hats

Part d) For y=378 yd Find the value of h

substitute in the linear equation the value of y and solve for h

h=42(378)=15,876\ hats

Part 3) For h=11 hats Find the value of y

substitute in the linear equation the value of h and solve for y

11=42y

y=11/42\ yd  

Part 4) Interpret the meaning of the point (378,9)

we have that

y=378 yd

h=9 hats

That means -----> For 378 yards of yarn Paula can knit 9 hats

7 0
3 years ago
The regular pnce of a calculator is $15.98.Today you can buy it on sale for 70% of the regular price About how much will the cal
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Answer:

$11.19

Step-by-step explanation:

15.98•0.70=11.19

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3 years ago
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