MATHEMATICS MIDDLE SCHOOL

Show your work:Use the distributive property in two different ways to find the product of 127 and 32.

Answers

Answer 1
Answer:

The distributive property: a(b + c) = ab + ac

127 × 32 = 127 × (30 + 2) = 127 × 30 + 127 × 2 = (130 - 3)  × 30 + (130 - 3) × 2

=(130)(30) - (3)(30) + (130)(2) - (3)(2) = 3900 - 90 + 260 - 6

= 3810 + 254 = 4064


127 × 32 = (130 - 3) × 32 = 130 × 32 - 3 × 32 = 130 × (30 + 2) - 96

= (130)(30) + (130)(2) - 96 = 3900 + 260 - (100 - 4) = 4160 - 100 + 4

= 4060 + 4 = 4064

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Macy has some ropes each 2 feet long. Nellie has some ropes each 3 feet long. Oscar has some ropes each 5 feet long. What is the length of each line of ropes when they are of the same length?

Answers

I think
2 feet+3 feet+5 feet= 10 feet

Slope = 4/3, (-2, 11)

Answers

Answer:

y = (4)/(3) x + (41)/(3)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = (4)/(3), hence

y = (4)/(3) x + c ← is the partial equation

to find c substitute (- 2, 11) into the partial equation

11 = - (8)/(3) + c ⇒ c = (41)/(3)

y = (4)/(3) x + (41)/(3) ← equation of line


An adventure game has a number cube with 12 equal-size faces: some labeled with 1, some labeled with 2, and some labeled with 3. The game manufacturer tests the cube by rolling it 12, then 120, and then 1200 times.What is the best estimate of the number of faces labeled with 2?



Outcome Number of trials
12 120 1200
1 5 67 617
2 6 48 394
3 1 5 189













A.

1






B.

2






C.

4






D.

6

Answers

The best estimate is 4 because there are 3 different numbers on a 12 sided die and 12 / 3 = 4.

Uma wants to buy a video game system for $400. She has $50 and is saving $25 each week. Solve the equation 25w + 50 = 400 to find how many weeks w it will take Uma to save enough to buy the system.

Answers

Move all terms that don't contain ww to the right side and solve.
w=14

Hope this helps,

kwrob
First take away fifty from both sides
25w = 350
Divide 25 from both sides
Answer is: w = 14


So, it will take Uma 14 weeks to save enough money to but the video game system.




Hope that helps!!!

The price of jeans was reduced $6 per week for 7 weeks. By how much did the price of the jeans change over the 7 weeks?

Answers

The price dropped by forty two dollars. We can work this out by simplymultiplying six, the number that we know the jeans were reduced by eachweek, by seven, the number of weeks that the jeans continued to reducein price for. Six times seven is of course forty two.

Answer:

The price dropped by $42.

Estimate the sum of 196 and 482

Answers

196
+
482
______
678 (HA!)

The phrases "sum of" & "and" indicates this is an addition problem
196 -> 200

482 -> 480 or 500

200+480=680

100+500=600
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