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Vitek1552 [10]
3 years ago
12

Tell what you would do to isolate the variable. -5c = 5/24

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

To isolate the variable here is what you would do:

−5c= \frac{5}{24}

Step 1: Divide both sides by -5.

\frac{-5c}{-5} = \frac{5}{24} (A five was supposed to go underneath the 24 to show the division but whatever)

Answer: c=\frac{-1}{24}



Eddi Din [679]3 years ago
8 0

-5c = 5/24

-5c /5= 5/24 /5

- c = 1/24

c = - 1/24

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mixer [17]

Answer:

x = -24

Step-by-step explanation:

We gotta get rid of that 3 under x, so we multiply the reciprocal of 1/3, which is 3, if we multiply that on one side, we must also multiply on the other side.

3 · x/3 = -8 · 3

x = -24

Hope this helps! good luck on whatever you're doing :]

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A rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex.
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Answer:

if it's a rectangular pyramid a rectangle

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the cross sectional area is the shape at the bottom

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What is the value of x?<br><br><br> 68<br><br> 32<br><br> 54<br><br> 36
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Answer:

A) 68

Step-by-step explanation:

Use the <em>Exterior Angle Theorem</em>.

The Exterior Angle theorem states that the exterior angle's measurement will be equal that of the two opposite interior angles.

Set the equation. Note that you are given the exterior angle and one interior angle:

58 + x = 126

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 58 from both sides of the equation:

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~

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Explain proportionality to me 7th grade math ​
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If two quantities <em>a</em> and <em>b</em> are directly proportional to one another, then both <em>a</em> and <em>b</em> change in the <u>same direction</u>.

For example, if the amount/volume of coffee I have in a cup is directly proportional to the total volume of the cup, then the larger the cup gets, the more coffee I can fill it with. On the other hand, if the cup gets smaller, the amount of coffee it can hold also gets smaller.

Both <em>a</em> and <em>b</em> don't necessarily change at the same rate, though, which means one of these needs to get appropriately scaled by some factor <em>k</em>, so that

<em>a</em> = <em>kb</em>

Continuing the coffee example: Suppose I only fill my cup halfway. If the total volume of the cup is <em>a</em>, then the amount of coffee I pour in is <em>b</em> = 1/2 <em>a</em>. So the relationship of these two quantities is governed by the equation,

<em>a</em> = 2<em>b</em>

and in this case, <em>k</em> = 2.

If instead <em>a</em> and <em>b</em> are inversely proportional, this means as one quantity changes, the other changes in the <u>opposite direction</u>.

Suppose I have two cups that I use for coffee that can both hold the same amount <em>k</em> if they are filled completely, but one cup is taller than the other. In order for both cups to be able to hold the same volume of coffee, the taller cup must have a thinner profile.

The cups are cylindrical, so that their volumes are equal to the products of the area of their base <em>a</em> and their height <em>b</em>. If one cup is twice as tall as the other, then for the smaller cup we could have

<em>ab</em> = <em>k</em>

and for the taller one,

<em>a</em> (2<em>b</em>) = <em>k</em>

But in order to get the same volume, the quantity <em>a</em> for the shorter cup must be cut in half to preserve equality:

(1/2 <em>a</em>) (2<em>b</em>) = <em>ab</em> = <em>k</em>

So one quantity is doubled (increases), while the other gets halved (decreases).

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