if 5b=6a+16 and 9a=7b-20, then what are the values of a and b? show work.
can someone help me pls

Answers

Answer 1

Answer:

a = 4, b = 8

Step-by-step explanation:

Rewrite 5b=6a+16 and 9a=7b-20 vertically:

5b=6a+16

9a=7b-20

Let's use substitution.  Solve the first equation for b:

       6a + 16

b = --------------

             5

Substitute this result into the second equation:

9a = 7(b) + 16, or

             6a + 16

9a = 7*-------------- - 20

                   5

Eliminate the fraction by multiplying all three terms by 5:

45a = 7(6a + 16) - 100, or

3a =        112 - 100, or:

3a = 12, which leads to a = 4.  

Find b by subbing 4 for a in either of the given equations:

5b = 6(4) + 16, or

5b = 40, leading to b = 8

The solution is a = 4, b = 8


Related Questions

How is a line segment diffrent from a line?
How is a line segment diffrent from a ray?

Answers

Answer:

A line segment has two endpoints. A ray has one endpoint. A line has zero endpoints.

Step-by-step explanation:

The difference between a line segment has two endpoints and can be measured. Line can not. Ray is an infinite line

There is two questions please help me

Answers

36cm
13.6in. my mom helped

Step-by-step explanation:Answer:

As it is equilateral triangle, l₁ = l₂ = b = 6 cm

Total surface area of triangular prism= (l₁ +l₂ + b)* height

                                                                 = ( 6 + 6 + 6) * 15

                                                                 = 18 * 15

                                                                 = 270 cm²

2) length = l = 8.2 in

Width = w = 3.4 in

height = h = 2

Total surface area of rectangular prism = 2*(lw + wh + hl)

= 2*(8.2*3.4  +  3.4*2  + 2*8.2)

=2 *( 27.88 + 6.8 + 16.4)

= 2 * 51.08

= 102.16

= 102 in²

pls help and explain.

Answers

Answer:

b,d, and e

Step-by-step explanation:

because if you think about it, it can only hold 2:3 as a ratio. so if you do the first one as 2 then the second on would have to be 1 greater than the first number.

Answer:

a) adding two circles on the left and a square on the right.

Step-by-step explanation:

on the right, there is a square and a triangle

on the left, there are two circles and a triangle

both sides have a triangle so you don't need to worry about that

to balance the hanger, add what is missing:

the left is missing two circles

the right is missing a square

therefore, add 2 cicles to the left and a square to the right

PLZ PLZ HELPP!!!!!! WILL GIVE BRAINLIEST
Which is the better deal for an iced coffee drink? 16 ounces for $2.19, 24 ounces for $2.99 or 32 ounces for $4.29.
Explain fully and persuasively. Make your thinking visible!

Answers

Answer:

24 ounces for $2.99

Step-by-step explanation:

Because that would make the cost into 3 dollars, and It would be cheaper to do it that way. The reason I said this is because I remember I had to pay for something that cost 3 dollars, and it was a drink for 24 ounces, so yes, and that is why I think 24 ounces for $2.99.

Answer:

look at the picture i sent please

PLEASE HELP ME!!!!! THIS IS WORTH 15 POINTS SO PLEASE ANSWER CORRECTLY!!!!!!!! THERE'S A PICTURE OF THE QUESTION!!!!!!!!!!! The problem is volume by the way.

Answers

Answer:

14 7/27 in ^3

Step-by-step explanation:

V = l*w*h

V = 11/3 * 5/3*7/3

V =385/27 in ^3

To change the improper fraction to a mixed number

27 goes into 385 14 times  with 7 left over

14 7/27 in^3

Help! Will give brainliest to the best answer, questions in picture!

Answers

Answer:

X x 2 ÷ 17

Step-by-step explanation:

X is always considered as our variable.

Using the key words quotient and twice and the word "and" can help you.

A simple interest loan of
$4,000 was repaid at the end
of 3 years with a check for
$4,972. What annual rate of
interest was charged?

Answers

The answer rate of it is 3.729

GIVING THANKS AND BRAINLIEST FOR BEST ANSWER <3
::::::::

Answers

Answer:

B

Step-by-step explanation:

look closely at the graph pretend the first side is looking through a mirror.

Please help me
Xxxxxxxxx

Answers

The answer is two times of square root of 8
answer:

C: 400

explanation:

basically on the graph what you do is you find the first term in the two subject textbook title. so for physics - biology, you would go to the horizontal axis and find the physics section. then what you do is find the biology section on the vertical axis. find the square they intersect at. the number inside that square is the number of physics - biology books sold per month.

if you do the same thing for the history - chemistry books, you’ll find that 300 of those are sold per month.

the difference between 700 and 300 is 400, giving you option C as your answer.

NEED HELP PLEASE!!

Determine whether the function shown in the graph is even or odd.

The graph will be below the answers

Answers:
The function is even because it is symmetric with respect to the y-axis
The function is odd because it is symmetric with respect to the y-axis.
The function is even because it is symmetric with respect to the origin.
The function is odd because it is symmetric with respect to the origin.

WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!

Answers

Answer:

the function is odd because it is not symmetric with respect to the origin

Answer:

The function is odd because it is symmetric with respect to the origin.

Step-by-step explanation:

im just built different

Evaluate the expression for the given value of x
0.3x + 66 for x=-2

Answers

Answer:

66.6

Step-by-step explanation:

Because 0.3 x 2 = 0.6 and 2 + 66 = 66.6

So yea

66.6? Try that! Do you need me to explain

PLZ HELP RN I WILL GIVE BRAINLIEST TO BEST ANSWER AND NO LINKS!!

Answers

Answer:

c they are equil

Step-by-step explanation:

Answer:

B is answer -\_( 0-0)_/-

Step-by-step explanation:

Deandre has a bookcase with k shelves. There are 13 books on each shelf. Using k , write an expression for the total number of books.

Answers

Answer:

13k

or

13 x k

Step-by-step explanation:

Answer 13 x k
Or
13k
Or
13(k)

If you were solving for y what would the first step? -5=y-7/9

Answers

Answer:

-38/9

Step-by-step explanation:

-5=x-7/9

-5+(7/9)=x-(7/9)+(7/9)

x=-5+(-7/9)

x=(-38/9)

The answer is ( -38/9)

6th Grade Math
Which expression represents the area of triangle ABC in square meters?
A. 1/2 x 14 x 57
B. 1/2 x 14 x 64
C. 1/2 x 24 x 40
D. 1/2 x 24 x 57

Answers

Answer:

A. 1/2 x 14 x 57

Step-by-step explanation:

The formula for the area of a triangle is base x height x 1/2

To calculate the base you would need to add the two numbers on the bottom of the triangle: 20 + 37 = 57

The photo shows that the height is 14 so it would be

1/2 x 14 x 57

Formula of area of triangle-1/2

The base is 20+37 =57

so the answer is 1/2*57*14

Laura has 8 marbles. Dennis gives laura 3 more. how many marbles does Laura have in all?

Answers

11 marbles. Its simple addition
Laura’s marbles = 8

Marbles given to Laura = 3

Total marbles Laura has = Laura’s marbles + Marbles given to Laura

= 8 + 3
= 11

-10=5 - 3s
Can you help me

Answers

Answer:

s=5

Step-by-step explanation:

-10=5-3s

+3s on both sides

-10+3s=5

+10 on both sides

3s=15

divide by three on both sides

s=5

Hope this helps =]

Answer:

-10 = 2

This is the answer to your equation if you're wondering I didn't know what else to do but to evaluate it for you.

can someone please help me find the rate of change in this function?
(11.0, 11.0)
The answer is not zero

Answers

Answer:

If the answer isn't 0 or .0 I'm going to need some answer choices.

Step-by-step explanation:

Find an equivalent ratio in simplest terms:
56:44

Answers

56 / 4 = 14 and 44 / 4 = 11, so 14:11

Answer:

14 : 11 is the answer to ur question

WILL MARK BRAINLIESTTT
Maori created this shape out of construction paper using a ruler and scissors. She made sure that all of her angles were right angles.
What is the area of Maori's shape?

A) 36 cm2
B) 48 cm2
C) 90 cm2
D) 102 cm2

Answers

It’s c because you put it together that’s what it gives you.

Find the volume of this complex figure please TwT

Answers

Answer:

456in^3

Step-by-step explanation:

Make two separate figures then find the volume of both and add them together.

Length x Width x Height

12 x 4 x 4 = 192

4 x 3 x 9 = 108

add those two together and you get 300 inches in volume!





UM CAN SOMEONE HELP ME

Answers

Answer:

Use one of those mean median and mode calculators

Step-by-step explanation:

Answer:

too lazy rn, add every thing up. then divide by how many numbers u have

Step-by-step explanation:

:)

Evaluate the expression for the given value of x
5/6x - 45 for x = 54

Answers

Answer:

The answer is 0

Step-by-step explanation:

5/6 x 54 = 45

45 - 45 = 0  

So yea the answer...

what is –4(2x + 6) – 9?

Answers

-8x+-33 would be your answer. You multiply -4&2x and you get -8x, and then -4&6 which it -24 but then you add -9 which is -33

Please help
two cities are 120 miles from each other how far apart would the cities be on a map that has a scale of 0.6 inches 7.5 miles

Answers

Answer:

9.6

Step-by-step explanation:

so 120 divided by 7.5=16

16x0.6= 9.6 inches

Answer:

9.6 inches

Step-by-step explanation:

divide 120 by 7.5=16

So, 16x0.6= 9.6 inches

mark me brainlst!

Which word best describes the degree of overlap between the two data sets?
moderate

high

low

none

Answers

Moderate and high because the x es are increasing
Moderate and high is the answers

explain how to read a tally chart

Answers

Answer:

one vertical line is made for the first four numbers and the fifth number is represented by a diagonal line across the other four lines .

Step-by-step explanation:

For the number 5, draw four vertical lines (||||) with a diagonal (\) line through it.

l = 1

ll = 2

lll = 3

llll = 4

卌 = 5

True or False: A triangle can be constructed using segments that have a length of 8 ft, 20 ft, and 13 ft.

Answers

Answer:

False

Step-by-step  

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Hoped I helped. Comment if I am right or not just let me know in the comments.

Please help I will give brainly

Answers

Answer:

A) 1/2 pound

Step-by-step explanation:

The Answer is A: 1/4 pounds.

The length of the hypotenuse is ______

Answers

a^2+b^2=c^2
10^2+24^2=c^2
100+576=c^2
676=c^2
c=26

The length of the hypotenuse is 26.

I hope this helps!! :)
The length of the hypotenuse is twenty six
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