Answer:
The expression 5(4x - 7) + 3(3x + 3) can be simplified to 29x - 26
Step-by-step explanation:
The first step in solving this is to apply coefficients to the contents of the brackets:
5(4x - 7) + 3(3x + 3)
= 5 × 4x - 5 × 7 + 3 × 3x + 3 × 3
= 20x - 35 + 9x + 9
Now you can group like terms:
20x - 35 + 9x + 9
= 20x + 9x - 35 + 9
= (20 + 9)x - 26
= 29x - 26
And that is the final answer.
Answer:
D) 5.5%
Step-by-step explanation:
To find the interest rate, use the equation: I = prt
I = Interest = $6,600
p = principal = $15,000
r = rate = unknown
t = time = 8 years
Now plug the numbers into the equation.
6,600 = 15,000 * r * 8
6,600 = 120,000 * r
Now isolate the variable by dividing both sides of the equation by 120,000.
0.055 = r
Now change the rate to a percent by moving the decimal point 2 digits to the right.
5.5% = r OR r = 5.5%
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<em><u>The equation to find the length r of the red ribbon is:</u></em>
<em><u>Solution:</u></em>
Let "b" be the length of blue ribbon
Let "r" be the length of red ribbon
To find: equation for length r of the red ribbon.
The length of the blue ribbon is two - thirds the length of the red ribbon
Which means,
Therefore,
Thus the equation to find the length r of the red ribbon is found
The quotient of 12 and the product of 5 and t is:
