1. The difference of two numbers is 3, and the sum of three times the larger one and

Mathematics

1 answer:

vlada-n [284]3 years ago

5 0

Answer: 25 and 22

Step-by-step explanation:

Since one number is 3 bigger than the other, we can call them x, and x-3.

Then we know that the sum of 3 times x and 2 times (x-3) is equal to 19, so we can make the equation

3x+2(x-3)=19

Simplifying would get you

3x+2x-6=19

adding the x's and adding six to both sides of the equations gets you

5x = 25

divide by 5 and

x=5

Put those numbers back into your previous labels for them, x and x-3, and you get 5 and 2

Hope this helps

You might be interested in

Evaluate the expression for the given value of the variables.

zzz [600]

For every c substitute 4 and for every d substitute -2

c=4
d=-2

6c + 5d - 4c - 3d + 3c - 6d

= 6(4)+ 5(-2)- 4(4)- 3(-2)+ 3(4)- 6(-2)

=24+(-10)-16-(-6)+12-(-12)

=24-10-16+6+12+12

=28

7 0

3 years ago

PLZ HELP the expressions a[8x+7] and 4x+3.5 are equivalent. what is the value of a

kondaur [170]

Answer:

$a=0.5$

Step-by-step explanation:

Divide each term by $8x+ 7$ and simplify.

Hope this helps :)

-ilovejiminssi♡

6 0

3 years ago

Read 2 more answers

A series of equal quarterly payments of $10,000 for 15 years is equivalent to what future worth amount at an interest rate of 6%

kogti [31]

Answer:

$976,578.71

Step-by-step explanation:

We assume the deposits are made at the beginning of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...

A = P(1+r)((1+r)^n -1)/r

where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.

A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71

The future value is $976,578.71.

6 0

4 years ago

Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3)

katen-ka-za [31]

Answer:

$y = \frac{2}{5}x + 3\frac{2}{5}$