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Mandarinka [93]
3 years ago
13

Can you plz help me with this problem I’ve been stuck on it for a long time

Mathematics
2 answers:
lukranit [14]3 years ago
8 0

Answer:

B 1 inch = 16 ft

Step-by-step explanation:

We can use proportions to solve.  Put the drawing over the real life

3.5 inches         1 inch

----------------- = ------------

56 ft                    x ft

Using cross products

3.5 x = 56

Divide each side by 3.5

3.5x/3.5 = 56/3.5

x =16

So 1 inch = 16 ft

Tpy6a [65]3 years ago
6 0

I think the answer is B

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Jake is buying a sweater with the price of 30 dollars the store is having a sell that will reduce the price by 30%. Sales tax of
shusha [124]

Answer:Jake's total cost is $22.05

Step-by-step explanation:

The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as

30/100 × 30 = $9

The new price of the sweater would be 30 - 9 = $21

Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be

5/100 × 21 = 0.05×21 = $1.05

Jake's total cost would be

21 + 1.05 = $22.05

7 0
3 years ago
Write three equations whose solution is x=3.5
My name is Ann [436]

Answer:

  • 1. 2x + 23 = 30
  • 2. 3x + 19.5 = 30
  • 3. (10x - 20)/ 5 = 3

Explanation:

Work backward:

1. 2x + 23 = 30

Start:

  • x = 3.5

Multiply the equation by 2:

  • 2x = 2 (3.5)
  • 2x = 7

Subtract 30 from both sides

  • 2x - 30 = 7 - 30
  • 2x - 30 = -23

Add 23 and 30 to both sides:

  • 2x + 23 = 30

2. 3x + 19.5 = 30

Start:

  • x = 3.5

Add 6.5 to both sides:

  • x + 6.5 = 10

Multiply by 3:

  • 3(x + 6.5) = 30

Distributive property:

  • 3x + 19.5 = 30

3. (10x - 20)/ 5 = 3

Start:

  • x=3.5

Multiply by 10:

  • 10x = 35

Subtract 20:

  • 10x - 20 = 15

Divide by 5:

  • (10x - 20)/ 5 = 15/5

  • (10x - 20) / 5 = 3
3 0
3 years ago
The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b
maw [93]

Answer:

  80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

  • 2(x +y) = 36 . . . . the perimeter is 36 m
  • (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area

The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

  xy +y +2x + 2 -xy = 30

  2x +y = 28 . . . . . . . subtract 2

Dividing the first equation by 2 gives

  x +y = 18

and subtracting this from the above equation gives ...

  (2x +y) -(x +y) = 28 -18

  x = 10

Then

  y = 18 -10 = 8

The area of the original rectangle is xy = 10·8 = 80 m^2.

4 0
3 years ago
How many solutions does the following equation have?
IrinaK [193]
Answer:
Exactly one solution

Explanation:
The first step we need to take to find the answer is to find the value of y.

7(y+3)=5y+8
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
7y=5y-13
Subtract both sides by 5y
7y-5y=5y-13-5y
2y=-13
Divide both sides by 2
2y/2=-13/2
y=-6.5

Now, we plug y back into the original equation.

7(y+3)=5y+8
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
-24.5=-24.5

Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.

I hope this helps!
7 0
3 years ago
A group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students
ValentinkaMS [17]

Answer:

A maximum of 43 students and 11 teachers can go to the trip.

Step-by-step explanation:

Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:

4 + 1 = 5

54/5 = X

10.8 = X

10 x 4 = 40

10 x 1 = 10

4 - 1 = 3

Therefore, a maximum of 43 students and 11 teachers can go to the trip.

8 0
3 years ago
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