A. 0.2
B. 7.2
C. 13
D. 14.2
2. Write an algebraic expression for " Julie runs three miles less than twice the number of miles, n, that Hannah runs."
A. 2 n -3
B. 3n -2
C. 2n + 3
D. 3n + 2
3. Solve 5s + 40 = 55 using number sense.
A. 3
B. 15
C. 19
D. 95
4. Translate "the sum of eight and the product of two and y is twenty-four" into an equation.
A. 8y - 2 = 24
B. 8y + 2 = 24
C. 8 + 2y = 24
D. 8 - 2y=24
PLEASE GIVE ME THE CORRECT ANSWERS THANKS!
Answer:
5( 2j+j+3)
15j + 15
Step-by-step explanation:
5( 2j + 3 + j)
Combine like terms
5( 2j+j+3)
5( 3j + 3 )
Distribute
5*3j + 5* 3
15j + 15
Answer:
15j + 15, or 15(1 + j).
Step-by-step explanation:
We must do the work inside the parentheses first. We get 5( 2j + j + 3), or
5(3j + 3), and then 15j + 15, or 15(1 + j).
I believe the answer is 3x(3x + 2)
Step-by-step explanation:
Answer:
x = 13.35, y = - 1.35
or, x = 1.35, y = - 13.35
or, x = - 13.35, y = 1.35
Step-by-step explanation:
Let us assume that x and y are the two numbers.
So, given that (x + y)² = 144
⇒ x² + 2xy + y² = 144 ........ (1)
⇒ x + y = ± 12 ......... (2)
Again, x² + y² = 180 ........... (3)
Now, from equations (1) and (3) we can write 2xy + 180 = 144
⇒ 2xy = - 36
⇒ xy = - 18 ........ (4)
Now, for x + y = 12
⇒
⇒ x² - 18 = 12x
⇒ x² - 12x - 18 = 0
Using the quadratic formula
⇒
Now, for x = 13.35, from equation (4) we get, y = - 1.35
And for x = 1.35, from equation (4) we get, y = - 13.35
Now, for x + y = - 12
⇒ x² + 12x - 18 = 0
Using the quadratic formula,
⇒
Now, for x = - 13.35, from equation (4) we get, y = 1.35
And for x = 1.35, from equation (4) we get, y = - 13.35
Therefore, x = 13.35, y = - 1.35
or, x = 1.35, y = - 13.35
or, x = - 13.35, y = 1.35 (Answer)
Answer:
Building's actual height 32 meters
Building's shadow height 20 meters
Person's shadow height 1.2 meters
Person's actual height = ?
Find the person's actual height:
This is a proportion problem.
Actual height to shadow height
Building = Person
32 : 20 = x : 1.2
32 * 1.2 = 20 * x
38.4 = 20x
38.4/20 = 20x/20
1.92 = x
The person's actual height is 1.92 meters long.
32 : 20 = 1.92 : 1.2
32/20 = 1.60
1.92/1.2 = 1.60
Step-by-step explanation: