All categories

3 years ago

The sum of 2 numbers is 50. The sum of 1/4 of the first number and 2/3 of the second number is 25.What are the numbers?

Mathematics

1 answer:

tino4ka555 [31]3 years ago

6 0

Answer:

First number: 20

Second number: 30

Step-by-step explanation:

First#: x

Second#: y

Constraints:

x + y = 50

1/4x + 2/3y = 25

Isolate variable y:

x + y = 50

-1/4 (x + y = 50 )

-1/4x - 1/4y = -12.5

Add equations the two equations to eliminate x:

-1/4x - 1/4y = -12.5

1/4x + 2/3y = 25

_________________

5/12y = 12.5

5y = 150

y = 30

Substitution to find x:

x + y = 50

x + 30 = 50

x = 20

You might be interested in

How do you write x^3/11 in radical form

valentinak56 [21]

Answer:

$\sqrt[11]{x^3}$

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is in the square. Only answe

wel

Answer:

$0.07$

Step-by-step explanation:

we know that

The probability that a point chosen randomly inside the rectangle is in the square is equal to divide the area of the square by the area of rectangle

Let

x-----> the area of square

y----> the area of rectangle

P -----> the probability

$P=\frac{x}{y}$

<em>Find the area of square (x)</em>

$A=5^{2}=25\ in^{2}$

<em>Find the area of rectangle (y)</em>

$A=25*15=375\ in^{2}$

Find the probability P

$P=\frac{25}{375}=0.07$

7 0

3 years ago

PLEASE I NEED HELP, DUE IN 1hr!!!!

cricket20 [7]

Answer:

$137,339.88

Step-by-step explanation:

Here is the equation for compound interest: A=P(1+(r/n))^nt

where A=amount of money, P=principal, r= rate in decimal, n=number of times compounded per t, and t=time

In this case:

A=$250,000

P= ?

r= 0.04

n= 12 month/yr

t= 15 yrs

You can manipulate the equation to solve for P:

P=A/[(1+(r/n))^nt]

Plug in variables then solve:

P= $\frac{250,000}{(1+\frac{0.04}{12})^{12*15} }$

P=137339.8761 = $137,339.88

6 0

3 years ago

Give one example of when you would. use the friendly numbers strategy to subtract .Explain why ?

lord [1]

Say you were solving 27 + 19. If you were planning on using the friendly numbers strategy, you'd look at the first <span>addend, 27, and determine that</span> the closest "friendly number" here is thirty, which you'd get by adding 3. From there, you can jump to the next friendly number, forty, by adding another 10. So far you'd've added 13, and you'd need another 6 for that too add up to 19, your second addend. After adding 3, 10, and 6 to 27, you'd find your sum, or "final answer"- 46.

I hope this was what you were looking for!

5 0

3 years ago

Lucy spent a total of $6.60 on 5 apples and a package of grapes. If the package of grapes cost $2.35, how much did each apple co

erastova [34]

Answer:

Step-by-step explanation:

apple cost = total cost - grapes package cost

5 apples cost = 6.60 - 2.35

= 4.25

per apple cost = 4.25 ÷ 5

= 0.85

<h2>MARK ME AS BRAINLIST</h2><h3>PLZ FOLLOW ME</h3>

4 0

3 years ago