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KiRa [710]
4 years ago
14

The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer.

Mathematics
1 answer:
____ [38]4 years ago
3 0

Answer:

31

Step-by-step explanation:

x, x+1, x+2

x + x + 1 +x + 2 = 90

3x + 3 = 90

     -3      -3

3x = 87

/3     /3

x = 29

29 + 2 = 31

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You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.
grigory [225]

Answer:

You have a 25%, or 1/4 chance that you will choose a yellow paper clip.

Step-by-step explanation:

1) First, you want to find the total number of paper clips.

6 + 3 + 4 + 2 + 5 = 20 total paper clips

<u>This is your denominator.</u>

2) From the problem, we can understand that there are 5 yellow paper clips.

<u>This is your numerator.</u>

3) From the numerator and denominator we have from above, your fraction is 5/20.

4) This can be simplified into 1/4, which is 25%.

7 0
3 years ago
How much change will get out of $30
Igoryamba

Hello there,

How much change will get out of $30

Answer:

Pennies: 3000

Nickels: 600

Quarters: 120

7 0
3 years ago
Solve the system by substitution. Check your solution.
postnew [5]

Answer:

(9,126)

Step-by-step explanation:

Make sure x and y are on the same side

0.5x+0.25y=36\\16x-1y=18

Eliminate y by multiplying the first equation by 4 then adding both equations together

2x+1y=144\\16x-1y=18\\18x=162\\x=9

Plug the x value (9) into one of the equations

16(9)-1y=18

Solve

16(9)-1y=18\\144-1y=18\\144=18+1y\\126=y

x=9, y=126

(9,126)

8 0
3 years ago
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?
Scorpion4ik [409]

Answer:

the y intercept is 12

Step-by-step explanation:

6 0
4 years ago
Each cube in this figure is a 1/2 centimeter cube. How many cubes are in the prism?
Archy [21]

Answer:

36 cubes

Step-by-step explanation:

4×3×3 = 36 cubes

One face: 4×3 = 12

There are 3 similar arrangements

6 0
3 years ago
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