This can be solved by making an equivalent ratio.
The original ratio is what we know, 15 inches of wire for 90 cents.
In a ratio of inches of wire:cents, this would be 15:90.
Now for the equivalent ratio.
We don't know the number in the inches place but we do know it for the cents place.
Let's use x to represent inches of wire.
x:48 is our new ratio, and we need to find x.
Since x:48 and 15:90 are equivalent, that means the same thing that was done to 90 to get 48 has to be done to 15 to get the value of x, since the same thing must be applied to both sides.
We can find what 90 was divided by (which is what we'll have to divide 15 by) by dividing 90 by 48.
90 / 48 = 1.875
This means 48 • 1.875 = 90 and x • 1.875 = 15.
Since we don't know x though, we can isolate it by dividing both sides by 1.875.
x • 1.875 = 15
x • 1.875 / 1.875 = x
15 / 1.875 = 8
So x is 8.
Answer:
While you can be 15 inches of wire for 90 cents, you can buy 8 inches of wire for 48 cents at the same rate.
Volume of the sphere is 300 m³
Step-by-step explanation:
- Step 1: Calculate volume of the sphere using the formula V = 4/3πr³, where r = d/2 = 4m
⇒ V = 4/3 × 3.14 × 4³ = 267.95 = 300 m³ (rounding off to the nearest hundredth)
Set ? as x, and cross-multiply.
so x^2= 36
x = 6 or x = -6
By making a the subject of formula in the given equation, the value "a" is equal to 1/(56Q + 32GQ).
<h3>What is an equation?</h3>
An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
In this exercise, you're required to solve for a from the given mathematical expression (equation) by making it the subject of formula. This ultimately implies that, all the other variables would be defined in terms of a and they would all be on the same side of the "equal to" symbol.
Making a the subject of formula, we have:
-4G + 1/8Qa = 7
1/8Qa = 7 + 4G
Multiplying both sides by 8Q, we have:
8Q × 1/8Qa = (7 + 4G) × 8Q
1/a = 56Q + 32GQ
a = 1/(56Q + 32GQ).
Read more on subject of formula here: brainly.com/question/21140562
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