Since y = 5x-1, we can fill it into 3x + 3y = -3. First, let's look at relating to a simpler equation. Let's say that x + y = 9 and y = 3 + 5. Now, we can fill it in to get that x + (3 + 5) = 9. Now, we know that 3+5 is 8, so x + 8 = 9. Now, x = 1. Likewise, we can do the same. For 3x + 3y = -3, all we need to do is to switch the y in 3x + 3y = -3 with 5x - 1. So it would become 3x + 3(5x - 1) = -3. Now we distribute to get 3x + 15x - 3 = -3. Now add three to both sides to get 3x + 15x = 0. Now simplify to get 18x = 0. Now we know that x = 0. Now fill x into y = 5x - 1. So y = 5(0) - 1. Now we know that y = -1.
To check fill in the answer to 3x + 3y = -3.
3(0) + 3(-1) = -3
0 + (-3) = -3
0 - 3 = -3
-3 = -3
Now that our check is completed we now know that x is 0 and y is -1.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish the simple interest formula which we will require to solve this problem as displayed below:
Simple Interest = Principal × Rate of Interest × No. of Time Periods
I = PRN
Now let's substitute the values from the problem into this formula as displayed below:
I = $90
P = ?
R = 6%
N = 3 years
I = PRN
90 = P × 0.06 × 3
P = 90 / 0.06 × 3
P = 90 / 0.18
P = $500
ANSWER:
As the principal and the amount borrowed is the same, Claire borrowed $500. Therefore, the answer is:
D ) $500
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The associative property because you are moving the parentheses
The answer is: "72" .
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(input value, or "x") / 10 = y = f(x);
When y = 7.2, what is the value of "x" ?
x / 10 = 7.2 ;
x = (7.2) * 10 = 72 .
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Answer:
Step-by-step explanation:
<u>Given the scale factor:</u>
Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.
<u>The volumes are:</u>
<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>
- v/x = k³
- 67/x = (1/3)³
- x = 67*27
- x = 1809 cm³