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ser-zykov [4K]
3 years ago
9

a map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 4.5 square inches. What is the actual area

of the lake?
Mathematics
2 answers:
Mariulka [41]3 years ago
6 0

Answer: the answer is 13.5 is the area

Step-by-step explanation: I believe you should multiply 4.5 square inches by 3mi to get 13.5 mi.

Alekssandra [29.7K]3 years ago
3 0

Answer:

the area represents 40.5 square miles

Step-by-step explanation:

Since 1 inch represents 3 miles, then 1 inch x 1 inch = 1 square inch represents 3 mi x 3 mi = 9 square miles

Therefore, 4.5 square inches would represent 4.5 x 9 square miles = 40.5 square miles

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Solve the proportion: A printer can print 11 color pages in 2 minutes. How many color pages can the printer print in 7 minutes?
Ann [662]

Answer:

38.5

Step-by-step explanation:

7/2 = 3.5. 11×3.5= 38.5

6 0
3 years ago
Simplify the given expression. (16x^2 + 15xy – 19y^2) – (3x^2 – 3xy)
ruslelena [56]

Answer:

-19 y^2 + 18 x y + 13 x^2

Step-by-step explanation:

Simplify the following:

16 x^2 + 15 x y - 19 y^2 - (3 x^2 - 3 x y)

Factor 3 x out of 3 x^2 - 3 x y:

16 x^2 + 15 x y - 19 y^2 - 3 x (x - y)

-3 x (x - y) = 3 x y - 3 x^2:

16 x^2 + 15 x y - 19 y^2 + 3 x y - 3 x^2

Grouping like terms, 16 x^2 + 15 x y - 19 y^2 - 3 x^2 + 3 x y = -19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2):

-19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2)

x y 15 + x y 3 = 18 x y:

-19 y^2 + 18 x y + (16 x^2 - 3 x^2)

16 x^2 - 3 x^2 = 13 x^2:

Answer:  -19 y^2 + 18 x y + 13 x^2

4 0
3 years ago
Read 2 more answers
What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?
jek_recluse [69]

Answer:

The reflection image of P(0, 0) after two reflections is (8,-6)

Step-by-step explanation:

step 1

Find the coordinates of point P after reflection across x=4

we know that

The distance from point P to the line x=4 is equal to 4 units

so

(0,0) -----> (4+4,0) ----> (8,0)

The reflection image of P is (8,0)

step 2

Find the coordinates of point (8,0) after reflection across y=-3

The distance from point (8,0) to the line y=-3 is equal to 3 units

so

(8,0) -----> (8,-3-3) ----> (8,-6)

3 0
3 years ago
Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have h
kolbaska11 [484]

Answer:

b=\frac{T-a-c-d}{3}

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Step-by-step explanation:

Let T be the total number of points required to advance.

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Isolate b in order to find out how many points they need in the district match:

T=a+c+d+3b\\3b=T-a-c-d\\b=\frac{T-a-c-d}{3}

They need to score (T - a - c - d)/3, in the district match in order to win.

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Answer:

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