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Ivan
3 years ago
15

Pick the correct graph and equation pleasee!

Mathematics
1 answer:
laila [671]3 years ago
5 0

Given:

Amount of flour in a bin = 30 cups

Flour required for each signature cake = 1\dfrac{1}{2} cups

To find:

The correct equation and graph for the given situation.

Solution:

Let F be the amount of flour in the bin and c be the number of signature cakes.

Flour required for each signature cake = 1\dfrac{1}{2} cups

Flour required for each signature cake = 1.5 cups

Flour required for c signature cakes = 1.5c cups

Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:

F=30-1.5c

At c=0, we get

F=30-1.5(0)

F=30

At F=0, we get

0=30-1.5c

1.5c=30

c=\dfrac{30}{1.5}

c=20

Therefore, the required equation is F=30-1.5c and the 4th graph is correct.

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Item 16 The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation t
masya89 [10]

Answer:

k = 2

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Step-by-step explanation:

If variables x and y vary directly, this is expressed as;

x ∝ y

x = ky

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Let's assume the value of x and y since we are not given;

x = 20

y = 10

Substitute

20 = k(10)

10k = 20

k = 20/10

k = 2

Hence the constant of proportionality is 2

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x = 2y

Hence an equation that relates x and y is x = 2y

<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>

4 0
3 years ago
Find the value of the expression |2x−8| where x=−2.5; 0; 4; 5; 9.5.
Lelu [443]

The absolute value |x| returns the "positive version" of a number. In other words, if x is already positive, then |x|=x. Otherwise, if x is negative, then the absolute value changes its sign, so that it returns positive: |x|=-x.

So, in this case, we have to plug the required values for x in the expression 2x-8. Then, if the result is positive we're ok, otherwise we discard the negative sign.

We have:

x=-2.5 \implies |2x-8| = |-5-8|=|-13|=13

x=0 \implies |2x-8| = |0-8|=|-8|=8

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x=5 \implies |2x-8| = |10-8|=|2|=2

x=9.5 \implies |2x-8| = |19-8|=|11|=11

5 0
3 years ago
A piece of wood is designed in the same of a cone.
77julia77 [94]

Answer:

See explanation

Step-by-step explanation:

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3 years ago
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JulsSmile [24]

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.
cestrela7 [59]
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3 0
3 years ago
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