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3 years ago

find the middle integer if the sum of the greatest and the least of the three consecutive integers is 82

1 answer:

6 0

x= greatest
x+2= least

x + x + 2 = 82

2x + 2 = 82
-2 -2

2x = 80
---- -----
2 2

x=40

Check:
x=40
x+2=40+2=42
x+1=40+1=41
the middle integer is 41

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.

Mrac [35]

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

$\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}$

This partial product can also be solved as shown below:

$93 \times 51 = (90+3)\times (50+1)$

Applying the distributive law:

$93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743$

Since molly's solution tally's with the given solution, hence Molly solution is correct.

Learn more about partial product at: brainly.com/question/24716925

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2 years ago

to the nearest tenth what is the length of the hypotenuse of an isocoles right angle with a leg 7 3 inches

andrew11 [14]

If the two lengths are 7 and 3, then I believe the length of the hypotenuse would be approximately 7.62.

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3 years ago

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pickupchik [31]

Answer:

To find the area of an irregular polygon you must first separate the shape into regular polygons, or plane shapes. You then use the regular polygon area formulas to find the area of each of those polygons. The last step is to add all those areas together to get the total area of the irregular polygon

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3 years ago

Se tiene 2 metros de tela y se corta el 85% para hacer cortinas el 50% del resto para hacer las tiras que la sujetan.¿cuantos se

zavuch27 [327]

For this case we have the following statement:

"You have 2 meters of fabric and you cut 85% to make curtains, 50% of the rest to make the strips that hold it. How many centimeters of fabric were left?"

So, we have:

2 meters ---------> 100%

x ----------------------> 85%

Where "x" represents the amount of fabric meters equivalent to 85%.

$x = \frac {85 * 2} {100}\\x = 1.7$

Thus, 1.7 meters of fabric were used to make curtains.

There are 0.3 meters of fabric left, of which half (50%) is used to make the strips that hold the curtain. That is to say:

$\frac {0.3} {2} = 0.15m$

Thus, 0.15 meters of fabric remain.

$0.15 m * \frac {100 cm} {1 m} = 15\ centimeters.$

Thus, 15 cm of fabric remain

Answer;

15 cm

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3 years ago