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muminat
4 years ago
6

Find two consecutive whole numbers that 86 lies between.

Mathematics
1 answer:
mel-nik [20]4 years ago
4 0
86 is between 85 and 87
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If the volume of the pyramid shown is 360 inches cubed, what is its height?
GenaCL600 [577]
<h3>Answer: 9 inches (choice D)</h3>

Work Shown:

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(12*10)*h

V = (1/3)*120h

V = 40h

Set this equal to the given pyramid volume 360 cubic inches and solve for h

40h = 360

h = 360/40

h = 9

5 0
3 years ago
Read 2 more answers
Solve the system by graphing: y=-3x-3 and y=2x+2. Make sure you write your answer as an ordered pair: (x,y)
Rainbow [258]

Answer: (5, 12)

Step-by-step explanation:

Just graph the linear equations and find where they intersect.

Algebraically, you can set them equal to each other

-3x-3=2x+2

-x-3=2

-x=5

x=5

Plug x=5 to any equation

y=2(5)+2

y=12

3 0
4 years ago
Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w
babunello [35]

Answer:

\boxed{43}

Step-by-step explanation:

I think the easiest way to solve this problem is by brute force: trial and error.

We must find numbers that when divided by  

  • 4 leave 3 (4n + 3)
  • 5 leave 3 (5n + 3)
  • 6 leave 1  (6n + 1)

Here is a list of multiples of the integer n that satisfy the three conditions. \begin{array}{c|ccc}\mathbf{n} & \mathbf{4n+ 3} & \mathbf{5n + 3} & \mathbf{6n + 1}\\1 & 7 & 8 & 7\\2 & 11 & 13 & 13\\3 & 15 & 18 & 19\\4 & 19 & 23 & 25\\5 & 23 & 28 & 31\\6 & 27 & 33 & 37\\7 & 31 & 38 & \mathbf{43}\\8 & 35 & \mathbf{43} & 49\\9 & 39 & 48 & 55\\10 & \mathbf{43} & 53 & 61\\\end{array}\\\text{The only number that is common to all three lists is $\mathbf{43}$.}\\\text{The smallest possible number of muffins Mr. Baker could have baked is $\boxed{\mathbf{43}}$.}

Check:

43 \div 4 = 10R3\\43 \div5 = 8R3\\43 \div 6 = 7R1

OK .

6 0
3 years ago
Solve the system of equations <br> 8x + 5y = 24<br><br> Y= -4x
Rainbow [258]

Answer:

it’s 5.

Step-by-step explanation:

source: just trust me bro

8 0
3 years ago
Read 2 more answers
Peter and Blair recently reviewed their future retirement income and expense projections. They hope to retire in 29 years and an
Stells [14]

Based on the number of years that Peter and Blair have till retirement, the total amount that they need to save to completely fund their income shortfall is $65,545.72.

<h3>What amount do Peter and Blair need to save?</h3>

First, find the income shortfall:

= 75,017 - 54,000

= $21,017

The amount they need to save to cover this shortfall is the future value of this amount at retirement. The rate will be the real rate which is:

= 6% - 2% inflation

= 4%

The future value is:

= Income shortfall x future value interest factor, 4%, 29 years

= 21,017 x 3.1187

= $65,545.72

Find out more on future value at brainly.com/question/24703884

#SPJ1

5 0
2 years ago
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