Find the value of x.

Answers

Answer 1

Answer: $(y)/(11)=(5)/(y)\n\ny^2=55\n\n\nx^2=5^2+y^2\n\nx^2=25+55\n\nx^2=80\n\nx=√(80)\n\nx=√(16\cdot5)\n\nx=4\sqrt5$

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Caroline bought 20 shares of stock at 101/2, and after 10 months the value of the stocks was 111/4. If Caroline were to sell all her shares of this stock, how much profit would she make? A. $10 B. $15 C. $225 D. $210

Answers

Answer:

$15 profit would Caroline make .

Option (B) is correct .

Step-by-step explanation:

As given

$Caroline\ bought\ 20\ shares\ of\ stock\ at\ 10 (1)/(2).$

i.e

$Caroline\ bought\ 20\ shares\ of\ stock\ at\ (21)/(2).$

$After\ 10\ months\ the\ value\ of\ the\ stocks\ was\ 11 (1)/(4).$

i.e

$After\ 10\ months\ the\ value\ of\ the\ stocks\ was\ (45)/(4).$

Thus

Profit = (Cost of the 20 stock after 10 month - Cost of the 20 stock before 10 month ) × Total number of shares .

$Profit = ((45)/(4) - (21)/(2))* 20$

L.C.M of (4,2) = 4

$Profit = (45 - 21* 2)/(4)* 20$

$Profit = (45 - 42)/(4)* 20$

$Profit = (3)/(4)* 20$

Profit = 3 × 5

Profit = $15

Therefore the $15 profit would Caroline make .

Option (B) is correct .

Your answer will be $15.

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet. What is the area of the backyard?

Answers

Answer:

150 square feet

Step-by-step explanation:

Step 1

Find the Length and Width of the backyard

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.

Perimeter = 2L + 2W

L = Length, W = Width

L = 5 + W

Hence:

50 = 2(5 + W) + 2W

50 = 10 + 2W + 2W

Collect like terms

50 - 10 = 4W

40 = 4W

W = 40/4

W = 10 feet

We find L

L = 5 + W

L = 5 + 10 feet

L = 15 feet

Step 2

What is the area of the backyard?

Area of a rectangle = Length × Width

Area of the rectangular backyard = 15 feet × 10 feet

= 150 square feet

Jordan and Sydney work at a dry cleaners ironing shirts. Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. Jordan worked 4 more hours than Sydney and they ironed 350 shirts between them. Determine the number of hours Jordan worked and the number of hours Sydney worked.

Answers

Answer: Jordan worked for 10 hours and Sydney worked for 6 hours.

Step-by-step explanation:

Let x represent the number of hours

that Jordan worked.

Let x represent the number of hours that Sydney worked.

Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them. It means that

20x + 25y = 350- - - - - - - - - - - 1

Jordan worked 4 more hours than Sydney. It means that

x = y + 4

Substituting x = y + 4 into equation 1, it becomes

20(y + 4) + 25y = 350

20y + 80 + 25y = 350

20y + 25y = 350 - 80

45y = 270

y = 270/45

y = 6

x = y + 4 = 6 + 4

x = 10

Solve the equation A = 2LW + 2LH + 2WH for H.a) H = A - 2LW/2L + 2W
b) H = A + 2LW/2L + 2W
c) H = A - 2LW/4LW
d) H = A/2L + 2W - 2LW

Answers

H = A - 2LW / 2 (L+W)

Mrs. Colen took a trip. She drove 350 miles in 7 hours and 30 minuets. what is her average speed to the nearest tenth of a mile per hour

Answers

diatance travelled by her= 350 miles
amount of time taken by her to travel 350 miles= 7 hrs 30 mins
=450 mins
average speed travelled by her to the nearest tenth of a mile per hour= 450*60/100
=270/10
=27
therefore he travelled 27 miles to the nearest tenth of a mile per hour.

7 hours and 30 minutes is 7.5 hours. Average speed can be found by taking distance and dividing it by time. 350 miles/7.5 hours=46.6666 miles per hour. Rounded to the nearest 10th that is 46.7 mi/hr

Adding 3 to which digit in the number 736124 will increase the value of the number by 30,000?

Answers

Answer:

Step-by-step explanation:

736,124

It is in the 10 thousandths place

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