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Ymorist [56]
3 years ago
6

Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?​

Mathematics
1 answer:
Serga [27]3 years ago
8 0

Answer:

No, They are not equivalent

Step-by-step explanation:

The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.

The variable in this question is x.

To prove this, we equate both expressions:

10x + 6 = 5x + 11

10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1

This shows that they have the same value ONLY when x is 1.

This is why Andre says that they are equivalent, but they are not.

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A car can travel 476 miles on 14 gallons of gas. Write an equation relating the distance d to the number of gallons g. How many
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Distance, d, is directly proportional to the number of gallons of gas, g. Thus,

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Jill made scarves and then sold them for $15 each. If Jill spent $150 to make all the scarves, how many scarves need to be sold
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Answer:

10 scarves

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each scarf is $15, 10 of them is 150 because 10 x 15 = 150

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How much work is done lifting a 5 kg ball from a height of 2 m to a height of 6 m? (Use 10 m/s for the acceleration
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<h2>Explanation:</h2>

In physics, work is defined force that causes displacement. So this can be expressed by the following equation:

W=Fs

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F:Force \\ \\ s:Displacement

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8 0
2 years ago
A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic
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Answer:

The cream cone should be <u>6 inches</u>.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

Volume=\frac{4}{3} \pi r^3

Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.

<em>Thus, the volume of the ice cream scoop is 14.13 cubic inches.</em>

<em>So, to put all of the ice cream inside the cone.</em>

<em>We take the cream cone volume as the scoop volume.</em>

Let the height of cone be h.

<em>As, given radius is same.</em>

Now, to get the height of the cream cone we put formula of volume:

Volume=\pi r^2\frac{h}{3}

14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

<em />42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h<em />

<em>Dividing both sides by 7.065 we get:</em>

6=h

h=6\ inches.

<u><em>Hence, the height of the cone = 6 inches.</em></u>

Therefore, the cream cone should be 6 inches.

7 0
3 years ago
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