All categories

3 years ago

Two numbers are in the ratio of 3:4. If they sum of the numbers is 63, find the numbers

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

6 0

Answer:

27 and 36

Step-by-step explanation:

Let's call the two numbers x and y.

$3x=4y \\\\x+y=63$

If you subtract y from both sides of the second equation, you can isolate x and substitute it into the first equation:

$x=63-y \\\\3(63-y)=4y\\\\189-3y=4y\\\\189=7y\\\\y=27\\\\x=63-27=36$

Hope this helps!

You might be interested in

What is the slope of this line: y=-4x-9

Katen [24]

Answer:

-4

Step-by-step explanation:

y=-4x-9

y=mx+b

m=slope

3 0

3 years ago

You are planning to work in the summer (13 weeks). You

Llana [10]

Answer:

(a) Equations for both

$y = 500 + 12x$ --- lifeguard

$y = 15x$ --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Step-by-step explanation:

Let

$x \to hours$

$y \to total\ pay$

Given

Lifeguard job

$Signing\ bonus = \$500$

$Rate = \$12/hr$

Camp counselor job

$Signing\ bonus =\$0$

$Rate = \$15/hr$

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

$y = 500 + 12*x$

$y = 500 + 12x$

Camp counselor

$y = 0 + 15 * x$

$y = 15x$

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

$x = 5hrs/day * 5days$

$x = 25hrs$

So, the pay for each is:

$y = 500 + 12x$

$y =500 + 12*25$

$y =800$ --- Lifeguard

$y = 15x$

$y = 15 * 25$

$y = 375$ --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

$800 > 375$

<em>Hence, lifeguard job pays more</em>

6 0

3 years ago

Find what equals to x and what equals to y

Nuetrik [128]

Answer:

x=15√2 y=90 degrees.

Step-by-step explanation:

Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.

3 0

2 years ago

What is the distance between 3, 5 and -4, 1

USPshnik [31]

Answer:

Distance = 8.06

Step-by-step explanation:

We have to use the distance formula $d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }$ .