Answer:
x = 3
Step-by-step explanation:
![In\: \triangle PQT,\: \overline{PQ}|| \overline {RS}...(Given)\\\\\implies\frac{PS}{ST}=\frac{QR}{RT}\\(By\: Proportionality\: Theorem) \\ \\\implies\frac{2x+4}{5}=\frac{3x+5}{7}\\\\ \implies \: 7(2x + 4) = 5(3x + 5) \\ \\ \implies \:14x + 28 = 15x + 25 \\ \\ 14x - 15x = 25 - 28 \\ \\ - x = - 3 \\ \\ x = 3](https://tex.z-dn.net/?f=In%5C%3A%20%5Ctriangle%20PQT%2C%5C%3A%20%5Coverline%7BPQ%7D%7C%7C%20%5Coverline%20%7BRS%7D...%28Given%29%5C%5C%5C%5C%5Cimplies%5Cfrac%7BPS%7D%7BST%7D%3D%5Cfrac%7BQR%7D%7BRT%7D%5C%5C%28By%5C%3A%20Proportionality%5C%3A%20Theorem%29%20%5C%5C%20%5C%5C%5Cimplies%5Cfrac%7B2x%2B4%7D%7B5%7D%3D%5Cfrac%7B3x%2B5%7D%7B7%7D%5C%5C%5C%5C%20%5Cimplies%20%5C%3A%207%282x%20%2B%204%29%20%3D%205%283x%20%2B%205%29%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A14x%20%2B%2028%20%3D%2015x%20%2B%2025%20%5C%5C%20%20%5C%5C%2014x%20-%2015x%20%3D%2025%20-%2028%20%5C%5C%20%5C%5C%20-%20x%20%3D%20%20-%203%20%5C%5C%20%20%5C%5C%20x%20%3D%203)
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
...(i)
The product of twice of the length l and the height is:
...(ii)
The product of twice of the width w and the height h is:
...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
![A=2lw+2lh+2wh](https://tex.z-dn.net/?f=A%3D2lw%2B2lh%2B2wh)
![A=2(lw+lh+wh)](https://tex.z-dn.net/?f=A%3D2%28lw%2Blh%2Bwh%29)
Therefore, the required expression is
.
Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Answer:
2 * $87 - $12 = R
Step-by-step explanation:
Let R represent the cost of Vanessa's rent.
Vanessa spent $87.00 on entertainment for the week.
Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become
R = 2(87) - 12
R =
R = 174 - 12
The correct option is
2 * $87 - $12 = R
Answer:
35 adult shirts were sold
Step-by-step explanation:
10y+15a=2375
y+a=220
y=220-a
10(220-a)+15a=2375
2200-10a+15a=2375
2200+5a=2375
5a=175
a=35
35 adult shirts were sold.