Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;
by cross multiply we get;
using distributive property;
Subtract 42.56x from both sides we get;
Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Answer:
1. 210 m³
2. 320 in³
3. 189 m³
4. 150 cm³
5. 576 ft³
6. 240 m³
7. 220 cm²
8. 150 ft²
9. 132 in²
10. 592 m²
Step-by-step explanation:
Volume = l × w × h
Area = 2 (wl + hl + hw)
Volume is always cubed.(³)
Area is always squared (²)
Plug it in.
Answer:
B
Step-by-step explanation:
A. these simply to 21 + 7x and 21 + 3x
- this one is incorrect because the 7x and 3x are different
B. these simplify to 10 + x and 10 + x
- this is the correct one since they are exactly the same
C. these simplify to 21x and 7x + 21
- these two are not the same because one expression has only a number with a variable but the other one has a number with a variable <em>and </em>another number
D. these simplify to 
and 
- in subtraction, the order of the 3 and the x matters, so the equations are not the same
- example: 6 - 4 = 2 but 4 - 6 = -2
Answer:
#5 39 = x
Sides:
x - 15
2x
2x
Total of sides = 180
180 = (x-15) + 2x + 2x
180 = x - 15 + 4x
180 = -15 + 5x (add 15 to each side to remove -15)
195 = 5x (divide by 5 on each side to get x)
39 = x
#7 24 = x
Sides:
2x - 4
3x + 5
2x + 11
Total of sides = 180
180 = (2x - 4) + (3x + 5) + (2x + 11)
180 = 2x - 4 + 3x + 5 + 2x + 11
180 = 7x + 12 (subtract 12 to each side to remove 12)
168 = 7x (divide by 7 on each side to get x)
24 = x
#8 37 = x
Sides:
x
x + 4
3x - 9
Total of sides = 180
180 = (x) + (x + 4) + (3x - 9)
180 = x + x + 4 + 3x - 9
180 = 5x - 5 (add 5 to each side to remove -5)
185 = 5x (divide by 5 on each side to get x)
37 = x
Step-by-step explanation:
The perimeter of a triangle can be found by adding up all the sides
so the perimeter is :
5 + 8 + x =
13 + x <==
