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GrogVix [38]
3 years ago
5

The sum of three consecutive integers is 36. Find the largest integer.

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0

Answer:

13

Step-by-step explanation:

(n-2) +(n-1) +n =3n-3=36

n=(36+3)/3=13

Consecutive integers are 11,12 and 13

Advocard [28]3 years ago
4 0

Answer: 13

Step-by-step explanation:

The easy way to do this is simply to divide 36 by three.  36/3 = 12.  Thus, 12 is the middle integer and the integers are 11,12,13, the largest of which is 13.

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Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.
lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>Verify each statement</em></u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches

The area of the first enlargement is

18(12)=216\ in^2

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches

The area of the second enlargement is

54(36)=1,944\ in^2

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

[(3^2)]^2(24)=1,944\ in^2

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

3(216)=648\ in^2

so

648\ in^2 \neq 1,944\ in^2

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

\frac{216}{24}=9

8 0
2 years ago
Read 2 more answers
Joseph used the problem-solving strategy Work Backward to solve the inequality 2n+5&lt;13. Shawnee solved the inequality using t
Katen [24]

@ 2x3 <y+zov

{(0064>*/&66^^^^^^09490-mf

3 0
3 years ago
(7x+3) (10x-14) HELP PLEASE
liubo4ka [24]

Answer:

70x^{2}+30x-140

Step-by-step explanation:

(7x+3) (10x-14)

70x^{2}-98+30x-42

70x^{2}+30x-42-98

70x^{2}+30x-140

7 0
3 years ago
Read 2 more answers
Tessa spent $22 on 11 song downloads. How much did each song cost?
Reika [66]

Answer:

Each song cost $2

Step-by-step explanation:

2 times 11 is 22

Make me brainliest if this helps!

4 0
2 years ago
Read 2 more answers
I need help asap thanks
Sunny_sXe [5.5K]
V=hb

h= \frac V b

h = \dfrac{ x^3 - 3x^2 + 5x - 3}{x^2 -2}

Expressing that as a quotient and remainder,

h =x - 3 = \dfrac{ 7 x - 9} { x^2 - 2}

First choice.



7 0
2 years ago
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