How do you use the distributive property to simplify the expression -3(x - 5)?
1 answer:
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58): Solution =====> Letter Choice, (C) 1.25m = 1.50(m - 2)
Let's solve your equation step-by-step.
1.25m = 1.5(m − 2)
Step 1: Simplify both sides of the equation.
1.25m = 1.5(m − 2)
1.25m = (1.5)(m) + (1.5)(−2) (Distribute)
1.25m = 1.5m + −3
1.25m = 1.5m − 3
Step 2: Subtract 1.5m from both sides.
1.25m − 1.5m = 1.5m − 3 − 1.5m
−0.25m = −3
Step 3: Divide both sides by -0.25.
-0.25m/ -0.25 = -3/ -0.25
m =========> 12
Answer ===========> m = 12
59): Let your Number be: D
Solution: =====> 7D = 5D - 3 =====> -3/2 =====> -1.5
Seven Times a number:
7 * D or 7(D)
Three Less than Five Times that Number:
5D - 3
7D = 5D - 3
Solve for D:
7D = 5D - 3
Subtract 5D from both sides:
7D - 5D = 5D - 3 - 5D
2D = -3
Divide both sides by 2:
2D/2 = -3/2
D = -3/2
Answer ==> D ====> -3/2 ========> Letter Choice, (F) - 1.5
60): Letter Choice, (C), 3x - 9 = 5x
Let's solve your equation step-by-step.
3x − 9 = 5x
Step 1: Subtract 5x from both sides.
3x − 9 − 5x = 5x − 5x
−2x − 9 = 0
Step 2: Add 9 to both sides.
−2x − 9 + 9 = 0 + 9
−2x = 9
Step 3: Divide both sides by -2.
-2x/ -2 = 9/ -2
x = -9/2
Answer ========> x = -9/2 =======> 4.5
61): Subtract:
500 - 120
= 380
Need to total 500:
380
Find Number of Weeks Divide:
380/20 = 19 Weeks
7 * 19 = 133
Days it will take Nichole to save $500.00 =======> 133 Days
62): Gridded Response:
Solve:
- 2(x - 1 ) + 5x = 2(2x - 1 ) ======> x = 4
( -2 )(x) + ( -2)( - 1 ) + 5x = (2)(2x) + (2)( - 1 )
Distribute:
- 2x + 2 + 5x = 4x + - 2
( - 2x + 5x ) + (2) = 4x - 2 (Combine Like terms):
3x + 2 = 4x - 2
3x + 2 = 4x - 2
Subtract 4x From both sides:
3x + 2 - 4x = 4x - 2 - 4x - x + 2 = -2
Subtract 2 from both sides:
-x + 2 - 2 = -2 - 2
-x = -4
Divide both sides by -1:
-x/ -1 = -4/ -1
x = 4
Answer =====> x = 4 Check the Graph down below for Gridded Response on Number 62.
Hope that helps!!! : ) _P_
Answer: OPTION B.
Step-by-step explanation:
The missing figure is attached.
For this exercise you need to use the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
In this case you can identify in the figure the triangle PRS, so the diagonal PR is the hypotenuse of the triangle PRS.
Then you can say that:
Therefore, knowing these values, you can substitute them into :
Finally you must solve for PR in order to find its value. This is:
