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ipn [44]
3 years ago
7

Is y varies directly as x, and y is 18 when x is 5 witch expression can be used to find the value of y when x is 11?

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0
As the variation is direct we have:
 y = k * x

 Where,
 k: proportionality constant
 We must find the value of k.
 For this we use the following data:
 y is 18 when x is 5.
 Substituting values we have:
 18 = k * 5

 From here, let's clear k:
 k = 18/5

k = 3.6

 Then, replacing values we have:
 y = 3.6 * x

 For x = 11 we have:
 y = 3.6 * 11

y = 39.6
 Answer:
 
An expression that can be used to find the value of y when x is 11 is:
 
y = 3.6 * x

 When x = 11 we have:
 
y = 39.6
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Which of the following are like terms?
SVETLANKA909090 [29]

Answer: D) 13y^25 and 2y^25

Like terms involve the same variables, and each of those variables must have the same exponents.

Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.

5 0
3 years ago
Last week Martha sold brownies. And cookies at a back sale she sold 60 bowlines and 42 cookies on Saturday and 28 brownies and 5
elena55 [62]

Answer:

Martha earns $65.6 over the weekend.

Step-by-step explanation:

Brownies sold by Martha on Saturday = 60

Cookies  sold by Martha on Saturday = 42

Brownies sold by Martha on Sunday = 28

Cookies  sold by Martha on Sunday = 54

Total brownies sold by Martha over the weekend = 60+28=88

Total cookies sold by Martha over the weekend = 42+54=96

Cost of a brownie = $0.20

Cost of a cookie = $0.50

Total cost of brownies sold over the weekend = 88\times \$0.20 = \$17.6

Total cost of cookies sold over the weekend = 96\times \$0.50 = \$48

∴ Total money Martha earned over the weekend = \$17.6+\$48=\$65.6 (Answer)

4 0
3 years ago
Solve for b.<br> 3b &lt; 9<br> 23<br> Submit
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Answer:

b>3

Step-by-step explanation:

4 0
3 years ago
1. Figure ABCD is similar to figure WXYZ. Which proportion must be true<br> for these figures?
aksik [14]

Answer:  see below

<u>Step-by-step explanation:</u>

If the figures are similar, then their corresponding sides are proportional.

ABCD ~ WXYZ

\dfrac{AB}{WX} = \dfrac{BC}{XY} = \dfrac{CD}{YZ} = \dfrac{AD}{WZ}

7 0
3 years ago
A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used t
dexar [7]

Answer: 8.4; 14.

Step-by-step explanation:

To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.

9 x 0.4 = 3.6.

Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.

12 - 3.6 = 8.4.

We have 8.4 meters of ribbon to make wreaths.

Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.

8.4 ÷ 0.6 = 14.

Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.

(Part A's answer is 8.4, and Part B's answer is 14)

4 0
3 years ago
Read 2 more answers
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