A toy company produces two kites whose shapes are geomaetrically similar. Find the length of the missing size of similar kite.

Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur

Gelneren [198K]

I am setting the week hourly rate to x, and the weekend to y. Here is how the equation is set up:

13x + 14y = $250.90
15x + 8y = $204.70

This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7. Now it equals:

52x + 56y = $1003.60
-105x - 56y = -$1432.90

Now we add these two equations together to get:

-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10. This is how much she makes per hour on a week day.

Now we can plug in our answer for x to find y. I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90. Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends. Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.

7 0

2 years ago

Read 2 more answers

If it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50

Fed [463]

Lets use the formula $RWT=J$ to solve this, where,

R is the rate
W is the number of workers/things
T is time
J is number of jobs/things

"If it takes 10 seconds for 10 printers to print out 10 pages of paper" - here -

W is 10 printers, T is 10 seconds, and J is 10 pages. We can write:

$R(10)(10)=10\\R(100)=10\\R=\frac{10}{100}\\R=0.1$

"how many seconds will it take 50 printers to print out 50 pages of paper" - here we use $R=0.1$ (previously found) to figure out T.

$RWT=J\\(0.1)(50)T=50\\5T=50\\T=\frac{50}{5}\\T=10$

So it will take 10 seconds for 50 printers to print 50 pages.

ANSWER: 10 seconds

4 0

2 years ago

Read 2 more answers

Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds

dmitriy555 [2]

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of other piece = 45- 18 = 27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, $\dfrac{x}{27}=\dfrac{3}{18}$

$\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5$

Hence, the he length of the other piece = 4.5 pounds.

7 0

2 years ago

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Xelga [282]

Answer:

Option (3) is correct.

side length of square is (3x + 13 ) units.

Step-by-step explanation:

For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side

Given square has perimeter = 12x + 52

Comparing both sides,

4 × side = 12 x + 52

⇒ Side = $\frac{12x+52}{4}$

⇒ Side = $\frac{4(3x+13)}{4}$

⇒ Side = 3x + 13

Thus, side length of square is (3x + 13 ) units.

Thus, option (3) is correct.

3 0

2 years ago

Read 2 more answers

Dora drove east at a constant rate of 75 kph. One hour later, Tim started driving on the same road at a constant rate of 90 kph.

PIT_PIT [208]

Ok so let T=time from when Tim starts
Distance Tim travels= T*90
Distance Dora travels=T*75 + 75 (<as already started)
for him to have caught up His distance must equal hers so:
90T=75T + 75 (now minus 75T)
15T=75 (now divide by 15)
T=5 :)
So five hourse, hope this helped :)

3 0

2 years ago

Read 2 more answers