MATHEMATICS MIDDLE SCHOOL

1.A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 toppings?2.How many ways can you purchase 5 CDs if there are 6 to choose from, 2 cassettes if there are 5 to choose from, and 4 DVDs if there are 8 to choose from?

Answers

Answer 1
Answer: 1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.

2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680

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Solve 2(y - 3) = 1.2 - y.

A.1.4

B.-1.6

C.2.4

D.1.6​

Answers

Answer:

c.) 2.4

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Solve the equation. 2x - 8(x+1)= 6(2x - 3)

Answers

ANSWER
x = (5)/(9)

Solve the equation:  4 1/5 + b = 9 3/5

Answers

4 (1)/(5)+ b = 9 (3)/(5) \ \ | (-4(1)/(5))\n \n4 (1)/(5 )-4 (1)/(5)+ b = 9 (3)/(5)-4 (1)/(5)\n \nb= 5(2)/(5)=5.4
4 (1)/(5) + b = 9 (3)/(5) \n\nb= 9 (3)/(5)-4 (1)/(5) \n\nb=5 (2)/(5)

20 pointsWhich type of transformation does NOT result in a figure that is congruent to the original one?












A)
dilation



B)
reflection



C)
rotation



D)
translation

Answers

The answer is A) Dilation, because a dilation makes an object bigger or smaller. hope this helped :D 

it takes 10 workers 5 days to complete a road repair when working 2 hours a day. working at the same pax’s how many days will it take 2 people working 5 hours a day to finish it?

Answers

It takes 10 workers 5 days to complete a road repair when working 2 hours a day.

So, this becomes : 2*5*10=100 man hours required to finish the work.

Given is, if 2 people work for 5 hours a day, then let the number of days to finish the road be = d

So, total man hours = 2*5*d=10d

Now, 10d=100 or d=10

Hence, it will take 10 days for 2 people working 5 hours daily, to complete the work.

It will take 10 days for 2 people working 5 hours a day to finish the road repair.

Further Explanation:

From the question;

10 workers can finish road repair in 5 days working 2 hours a day

We need to find;

The number of days required to complete the road repair by 2 workers  working 5 hours a day.

Assuming the number of days required to complete the work is x

Number of working hours of 10 people is 10 hours ( 2 hours a day for 5 days)

Number of working hours of 2 people is 5x hours (5 hours a day for x days)

Note that; the number of workers or people is inversely related to the number of working hours.

Therefore;

Product of number of people and working hours or work done is a constant

Thus;

10 × 10 =  2 × 5x

100 = 10 x

x = 10

Therefore;

2 workers working 5 hours a day will require 10 days to complete the road repair.

Keywords: rate of work, number of hours, number of days required to complete the job.

Learn more about;

Level: Middle school

Subject: Mathematics

Topic: Rate of work

What percent of 1497.02 is 843.41

Answers

Answer:56.34%

Step-by-step explanation:

X/100×1497.02=843.41

1497.02x=843.41×100

1497.02x=84341

X=84342/1497.02

X=53.34%
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