5^3(5^x) the rule is a^b(a^c)=a^(b+c)
5^(3+x)
Answer:
12 inches
Step-by-step explanation:
Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length
is twice the width. The volume of the box is 3,456 in? What is the height of the box?
Volume of a Rectangular pyramid = Length × Width × Height
From the above question
Height = Width = x
Length = 2 × Width
Length = 2x
Volume = 3,456 cubic inches
Hence,
3,456 = 2x × x × x
3456 = 2x³
x³ = 3456/2
x³ = 1728
Cube root both sides
Cube root(x³) = cube root (1728 cubic Inches)
x = 12 inches
Therefore, the height is 12 inches
Answer:
y = 
Step-by-step explanation:
Given
5x - 8y = 11 ( subtract 5x from both sides )
- 8y = 11 - 5x ( multiply through by - 1 )
8y = - 11 + 5x = 5x - 11 ( divide both sides by 8 )
y =
Answer:
2.57
Step-by-step explanation:
You first have to multiply the -5.3 times the -1.9. Once you do that, you get 10.07. Then, you add the -7.5.
Here are the equation steps:
(-7.5) + (-5.3)x(-1.9)
(-7.5) + (10.07)
2.57
Answer:
177 Students
176 Adults
Step-by-step explanation:
Adult - (A) $5
Student - (S) $3.50
Equation 1: A+S = 353 tickets
Equation 2: 5A + 3.50S = $1500
Sub equation 1 into 2:
5A + 3.50(353 - A) = 1500
Multiply: 5A + 1235.50 -3.50A =1500
Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:
264.50/1.50 = 176 Adults
Sub into equation 1:
176 +S = 353
Solve: 353 - 176 = 177 Students
Check: 5(176) + 3.50(177) = $1500
1499.5 rounded = 1500 = 1500 ✔
I hope this helped!
