Answer:
Step-by-step explanation:
new length=15+x
width=19+x
then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²
original area=15×19=285 ft²
then 285+98=x²+34x+285
or
x²+34x-98=0
x²+34x+17²=98+17²
(x+17)²=98+289=387
x+17=√387=3√43
x=3√43-17 ft
Answer:
Total amount Silas and Raja has at first = $252
Step-by-step explanation:
Let,
Amount Silas had = x
Amount Raja had = y
According to given statement;
x = 3y Eqn 1
x-84 = y+42 Eqn 2
Putting value of x from Eqn 1 in Eqn 2
3y - 84 = y+42
3y-y = 42+84
2y = 126
Dividing both sides by 2

Putting y = 63 in Eqn 1
x = 63(3)
x = 189
Total amount they had = 189 + 63 = $252
Hence,
Total amount Silas and Raja has at first = $252
Answer:
10 more girls
Step-by-step explanation:
So here 2/3 of 24 ran for first race
Then it gives us that 16 girls ran for first race.
Next, 1/4 of 24 ran for second race
That is 6 girls
The remaining girls ran for the third race,
24 - 22
2 girls
16 - 6 = 10
So for first race 10 more girls ran
Answer:
Option D
Step-by-step explanation:
If the whole grid is considered to be 1,
Each small grid will value = 
There are 72 shaded grids which represent the hundreds = 0.72
When these grids have been divided into 9 equal rows, number of grids in each row = 8
And the value of 8 grids in each row = 0.01 × 8 = 0.08
So the equation is,
0.72 ÷ 9 = 0.08
Therefore, equation represented by the model will be Option (D).
Answer:
x = -1/2
Step-by-step explanation:
Given:
Inequality 4 ≥ 2 - 4x
Find:
Value of x
Computation:
4 ≥ 2 - 4x
4x ≥ -2
x ≥ -1/2
x = -1/2