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Alex73 [517]
3 years ago
15

The sum of two consecutive integers is 31. Find the numbers.

Mathematics
1 answer:
Radda [10]3 years ago
6 0
<span>X+(X+1)=31
</span>x is the first number and the second number should be x+1, since they are consecutive
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Item 3 Amelie's bird cage is shaped like a rectangular prism. The cage has a height of 26 inches and a volume of 7,280 cubic inc
lisov135 [29]

Answer:

Step-by-step explanation:

The Volume of a rectangular prism is expressed as;

V = Base area * height of prism

Given

Volume of prism V = 7,280 cubic inches.

height of prism = 26in

Required

Base Area

Substitute the given parameter into the formula;

7280 = 26B

B = 7280/26

B = 280in²

Hence the area of the newspaper on the bottom of the cage is 280in²

3 0
3 years ago
16 2/5 - 9 2/3 = show work
fgiga [73]

Answer:

Conversion a mixed number 16 3

8

to a improper fraction: 16 3/8 = 16 3

8

= 16 · 8 + 3

8

= 128 + 3

8

= 131

8

To find new numerator:

a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8

8

= 128

8

b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131

c) Write previous answer (new numerator 131) over the denominator 8.

Sixteen and three eighths is one hundred thirty-one eighths

Conversion a mixed number 9 5

8

to a improper fraction: 9 5/8 = 9 5

8

= 9 · 8 + 5

8

= 72 + 5

8

= 77

8

To find new numerator:

a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8

8

= 72

8

b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77

c) Write previous answer (new numerator 77) over the denominator 8.

Nine and five eighths is seventy-seven eighths

Subtract: 131

8

- 77

8

= 131 - 77

8

= 54

8

= 2 · 27

2 · 4

= 27

4

The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. Cancelling by a common factor of 2 gives 27

4

.

In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.

Step-by-step explanation:

3 0
3 years ago
Marco and his two younger sisters would like to purchase a silver charm bracelet for their mother’s birthday. they went to the m
ioda

Function would be f(x) = 5x+85

here, x= 15

5(15)+85 = 75+85 = $160

8 0
2 years ago
What's the value of x? (Hint: it's not 7) and please explain
tekilochka [14]

Hey there!

4x + 7 + 35 = 90°

4x + 42 = 90°

SUBTRACT 42 to BOTH SIDES

4x + 42 - 42 = 90 - 42

CANCEL out: 42 - 42 because it give you 0.

KEEP: 90 - 42 because it help solve for the x-value.

NEW EQUATION: 4x = 90 - 42

SIMPLIFY IT!
4x = 48°

DIVIDE 4 to BOTH SIDES

4x/4 = 48/4

CANCEL out: 4/4 because it give you 1

KEEP: 48/4 because it give you the x-value

NEW EQUATION: x = 48/4

SIMPLIFY IT!

x = 12

Therefore, your answer is: x = 12


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

8 0
1 year ago
PLEASE HELP MEEEEEEEEE​
nasty-shy [4]

Answer:

B

Step-by-step explanation:

The chances of the first student walking to school is 7/30.

Without replacement, there are 29 students left. Hence the chance of the second student walking to school is 6/29 of the original 7/30 chance.

(\frac{7}{30} )(\frac{6}{29} )=\frac{7}{145}

8 0
2 years ago
Read 2 more answers
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