For the following system, use the second equation to make a substitution for y in the first equation.

What is the sum of 1/8 + 5/16 + 3/8 9/32 13/32 9/16 13/16

den301095 [7]

11/16 sorry I’m stxxupid

6 0

3 years ago

Read 2 more answers

The sum of two numbers is thirteen, and the sum of their squares is 89. Find the two number

Murljashka [212]

Answer:

$Suppose~that~the~two~numbers~are~x~and~y.\\According~to~question,\\Sum~of~the~numbers = 13\\or, x+y=13........(1)\\or, y = 13-x.......(2)\\Again,\\Sum~of~their~squares=89\\or, x^2+y^2=89\\or, (x+y)^2-2xy=89\\From~eq^n(1)~and~(2),\\13^2-2x(13-x)=89\\or, 169-26x+2x^2=89\\or, 2x^2-26x+169-89=0\\or, 2x^2-26x+80=0\\or, x^2-13x+40=0\\or, x^2-8x-5x+40=0\\or, x(x-8)-5(x-8)=0\\or, (x-5)(x-8)=0\\i.e. x=5~or~8\\When~x=5,~y=13-x=13-5=8\\When~x=8,~y=13-x=13-8=5\\So,~the~two~numbers~are~5~and~8.$

8 0

3 years ago

At a farmers market, Samuel bought 3 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. The next

andre [41]

Answer:

A. 8x+5y

Step-by-step explanation:

First day: 3x+2y

Second day: 5x+3y

Add both expressions together.

(3x+2y)+(5x+3y) =

= 3x+2y+5x+3y=8x+5y

Hope this helps!

If not, I am sorry.

6 0

2 years ago

15. a music concert is organized at a memorial auditorium. the first row of the auditorium has 16 seats, the second row has 24 s

Drupady [299]

The equation for the nth term in the arithmetic sequence is 8n + 8.

The number of people that can be accommodated in the 16th row is 136.

<h3>What is an arithmetic progression?</h3>

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given that,

No. of seats in first row = 16

No. of seats in second row = 24

No. of seats in third row = 32

Total number of rows = 50

It forms an arithmetic progression

First term = a = 16

common difference d = 8

Number of terms, n = 50

(A) The formula for the n th term of an arithmetic progression is given by

Tn = a + (n - 1) d

= 16 + (n-1) 8

= 16 + 8n - 8

Tn = 8n + 8

(B) Now,

n = 16

The number of seats in 16 th row is given by

T(16) = 8 x 16 + 8

T(16) = 136 seats

Hence, (A)The equation for the nth term in the arithmetic sequence is 8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.

To learn more about arithmetic progression from the given link:

brainly.com/question/24205483

#SPJ4

4 0

1 year ago

Ruby bought 46 yards of fabric to make

emmainna [20.7K]

Answer:

The answer is 5 set of curtains and it remains 6 yards of fabric.

Step-by-step explanation:

Let's calculate the number of sets of curtains that Ruby can make with the 46 yards of fabric.

Number of sets of curtains = 46/8

Number of sets of curtains = 5 and it remains 6 yards

The answer is 5 set of curtains and it remains 6 yards of fabric.

5 0

3 years ago