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3 years ago

Please answer this by solving it

Mathematics

1 answer:

mr Goodwill [35]3 years ago

8 0

Answer:

5 5/6

Step-by-step explanation:

Change them into improper fractions. Multiply the denominator by the whole number and then add the numerator. Put that number over the denominator.

2 X 3 = 6 3 X 2 = 6

6 + 1 = 7 6 + 1 = 7

7/3 7/2

New expression: 7/3 + 7/2

Find a common denominator. Both denominators can go into 6.

14/6 + 21/6 = 35/6

Change this back into a mixed number by dividing.

Answer: 5 5/6

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Miranda enlarged a picture twice as shown below, each time using a scale factor of 3. Which statements apply to the enlargements

stepladder [879]

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:

The complete question is

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

A rectangle with length 6 inches and width 4 inches is enlarged twice.

Which statements apply to the enlargements? Select three options.

-The area of the first enlargement is 72 square inches.

-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 area of the second enlargement is 3 times the area of the first enlargement.

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

Verify each statement

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

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 $24\ in^2$

The area of the second enlargement is $1,944\ in^2$

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

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

The statement is false

Because

$3(216)=648\ in^2$

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

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

3 years ago

Solve for x.........

True [87]

Answer:

9x-25 = 5x+7 (reason: opposite sides of a parallelogram are equal)

4x-25 = 7

4x = 7+25

4x = 32

x = 8

8 0

3 years ago

Convert x2 + y2 = 16 to polar form.

Dafna1 [17]

The Correct Answer is Option B

r = 4

Ex. CONVERT 2 + 2 = 4 x 4 = 16

6 0

3 years ago

4. Rosa plays games at a fair. She can buy 8 game tokens for $ 1. Each game cost 2 tokens. How many games can she play with 120

bezimeni [28]

If each game costs 2 tokens, 120 tokens would equal 60 games.

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3 years ago

What number would X be in 5 + (x - 2) = -8

-Dominant- [34]

Answer:

-11

Step-by-step explanation:

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3 years ago

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