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

The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression represents the expected population next year?
Explain how you got your answer
A 1 + .0075p B 1.75p C 1.075p

Answers

Answer:

B. 1.75 p

Step-by-step explanation:

if you wouldn't mind giving me brainliest, i'm just trying to rank up.

Answer:

1.75p

Step-by-step explanation:

Could you please give me brainliest? I'm trying to rank up.

please answer something meaningful for grade 7

Answers

Ooh I loved this stuff but I kinda forgot how to do it but I know you are supposed to multiply 2 times pi times times radius so then 2 times 3.14 times 2.6 = ... and pi times 22 =...

Help!!!!!!!!!!

Draw the following regular polygons inscribed in a circle:
square
pentagon
hexagon
octagon
decagon
For each polygon, include the following information in the paragraph box below:
What was the central angle you used to locate the vertices? Show your calculation.
What is the measure of each interior angle of the polygon? Show your calculation.
Answer the questions in the paragraph box below.

(I already did the shapes, just do the math)

Answers

Answer:

I dont understand what you are asking. Sorry. I would love to help, but I don't understand the question.

Step-by-step explanation:

This question is very confusing

you are given 2 supplementary angles.one has a measure of 4x and the other has a measure of 8x. what is x?

Answers

Answer:

x=15

Step-by-step explanation:

Supplementary angles are two angles that equal the sum of 180 degrees.

Take 4x and 8x and make it equal to 180

4x+8x=180

Add like terms:

12x=180

Divide:

x=15

To check:

Plug in 15 to both expressions

4(15)=60

8(15)=120

Add them up and they equal 180 degrees

Hope this helps! :)

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This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards
What is the area of one of the semicircles at either end
The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle
What is the distance around one of the semicircles at either end of the soccer field
What is the distance around the inner lane of the track the lane closest to the soccer field

PLEASE HELP!
asap

Answers

Answer:

Given : The high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide.

The school decided to cover the semicircles with grass to create a space for stretching and other activities.

To Find: area of one of the semicircles at either end of the track

How many square yards of grass will the school need to cover the entire circle?

Solution:

Diameter of semicircle = 70 yards

Radius of semicircle = 70/2 = 35 yards

Area of semicircle at one end = (1/2)πr²

= (1/2)(22/7)35²

= 1,925 sq yards

area of one of the semicircles at either end of the track = 1,925 sq yards

square yards of grass will the school need to cover the entire circle

= 2 x   1,925

= 3850 sq yards

distance around one of the semicircles at either end of the soccer field = πr  = (22/7) 35 = 110 yards

distance around the inner lane of the track  = 100 + 100 + 110 + 110

= 420 yards

Please Mark as Brainliest

Hope this Helps

help with 13,14,15 plsss

Answers

Answer:

Step-by-step explanatio

for 13: A

for 14: Step 1: Recall the definition of an outlier as any value in a data set that is greater than or less than . Step 2: Calculate the IQR, which is the third quartile minus the first quartile, or . ... \displaystyle Q3+1.5*IQR= 89 + 1.5*10 = 104. In the data set, 105 > 104, so it is an outlier.

for 15: not sure at all sorry

13. B) Non-linear

As per its definition, linear means line. If a function is linear, then one can plot it out, and the resulting graph will be a line. This is not the case for the given function, therefore, it is non-linear.

14. A) Yes

An outlier is a data point that does not fit in with the result. It is not in the general region that the rest of the data points fall in. In the given function, the point (0.5, 3) is not in the general region that the rest of the points are in, therefore, it is an outlier.

15. B) Yes, there seems to be two distinct groups of data.

As one can see there appears two be two groups of data. One of them is towards the upper left corner, whereas the other seems to be towards the lower right corner.

6. The coordinates of one SOMEONE PLEASE HELP ME WITH THIS!! endpoint of a line segment are (6.-2). The line
segment is 4 units long. Which of the following is NOT a possible endpoint?
O A. (6,2)
O B.(6,-6)
O c. (10,-2)
O D. (-10,-2)

Answers

Answer:

d

Step-by-step explanation:

because if you add the 4 to the 6 you get 10 and the reason you need to add is because the line is apart of the endpoint

Ok so the correct answer is D

HHHHHEEEEELLLLLPPPPP

Answers

the answer is y=9x+27 i’m a math teacher
Y=9x+27

Explanation: Knowledge is power

your car cost $42,500 when you purchased it in 2018. the value of the car decreases by 5% annually.

how much will your car be worth in 2022

Answers

your car will be worth 34,000 in 2022
The correct answers is 34,000

Ronnie, Bobby, and Mike are singers from the group New Edition. They are raising money for studio time. Ronnie raised $30 more than Mike, and Bobby raised $12 less than Ronnie. They collected $432 in total. How much did Ronnie collect? *

Answers

Answer: 224

Step-by-step explanation:

This pattern follows the rule add 9. What are the next 3 terms?

A. 36, 45, 54
B. 39, 48, 57
C. 42, 51, 60
D. 54, 63, 72

Answers

Answer:

A.

Step-by-step explanation:

27 + 9 = 36, thus A.

A= 63

B= 66

C= 69

D= 81

HELP ME PLEASEEE!!!!

Answers

Answer:

5/8 = 20/32

Step-by-step explanation:

5/8 =20/32 :)))))))))))

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(3x+13)°
(8x+14)°
109°

Answers

(3x + 13) + (8x + 14) + 109 = 180°

(3x + 13) + (8x + 14) = 71°

11x + 27 = 71°

11x = 44°

x = 4

Answer:

x = 4

(3x + 13) = 25°

(8x+ 14) = 46°

Step-by-step explanation:

(3x + 13) + (8x +14) + 109 = 180 (Angles of a triangle)

11x + 136 = 180

11x = 180 - 136

11x = 44

x = 4

Substituting the value of x

(3x + 13) = 3×4 + 13 = 12 + 13 = 25

(8x + 14) = 8×4 + 14 = 32 + 14 = 46

Mr. Chi has 340 markers that he wants to put into bags. How many bags does he need to if each bag holds 24 markers?

Answers

Answer: 30 Markers, With a remand or

Answer:

30 markers

Step-by-step explanation:

if you wouldn't mind giving me brainliest, i'm just trying to rank up.

what are 3 like terms for 42bc

Answers

Answer:

43bc 44bc and 45bc

Step-by-step explanation:

43bc 44bc and 45bc are all like terms

please hurry! i have a few minutes to finish this work!!!!!!

Answers

The answer is E
Hope it’s helps you

The graph below shows the price, y, in dollars, of different amounts of granola, x, in pounds:

A graph titled Granola Prices shows Number of Pounds on x axis and Price in dollars on y axis. The scale on the x axis shows numbers from 0 to 12 at increments of 2, and the scale on the y axis shows numbers from 0 to 48 at increments of 8. A straight line joins the ordered pairs 0, 0 and 12, 48

Which equation best represents the relationship between x and y?

y = 8x
y = x + 4
y = 4x
y = x + 8

Answers

y = 4x

If you substitute x with a number of the range let’s say 12 you should get y as 48
The equation that gives the correct answer is the third one.

Answer:

y = 4x

Step-by-step explanation:

I just did the 7.14 module seven test, this was my answer and it was correct.

Um if you good at math please help me and i will give you brainliest

Answers

Answer: A=20.8, B=20.5, C=10, D=2, E=12.6

Explanation: It takes time, but all you have to do it make an equation adding all the sides together, which equals 85.9. Then find “a” and plug that back in to each side. (I’m pretty sure this is right, but sorry if I’m wrong)

Help please, thanks.

Answers

Answer:

Angle A: 25

Angle B: 155

Angle C: 25

Angle D: 155

Step-by-step explanation:

Angle A is given so since c is across from a it is the same measurement.

Next to find b all you have to do is subtract angle A from 180 since A and B are supplementary.

180 - 25 = 155

Then D will just equal B.

Answer:

B: 155, C:25, D: 155

Step-by-step explanation:

bro you on a test using edulastic rn??

What is the gcf of 16xy and 24xy

I was supposed to finish this an hour ago

Answers

The GCF is 8xy

Hope this helps
The GCF is 8xy. I’m sure

Find the lateral area for the given prism.
A. 1,092 cm2
B. 998 cm2
C. 1,272 cm2
D. 870 cm2

Answers

Answer:

c

Step-by-step explanation:

Answer:

1272

Step-by-step explanation:

because i am smart and i learned this in 7th grade and i am in seventh grade

so trust me

Find the volume of the cylinder:
Either enter an exact answer in terms of er or use 3.14 form.

Answers

Answer:

471 units

Step-by-step explanation:

Hope this will help

Which is a Function and which isn't a Function

Answers

Answer: I believe  that A is the function to this problem

Step-by-step explanation:

Answer:

1 - A is not a function

2 - B is not a function

3 - A is not a function

X can have only 1 value

for example 2B features x=5 where f(x) = -4 but also 1. That means it's not a function

Can y’all help me again

Answers

Answer:

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

Step-by-step explanation:

Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.

Write six and five hundredths in decimal form.

Answers

6.05 = Sixty Five Hundreths

The six and five hundredths in decimal form is 6.05.

Given that,

We need to write in decimal form in six and five hundredths.

Based on the above information, the calculation is as follows:

= 6 + 0.05

= 6.05

Learn more: brainly.com/question/16911495

Pls help ASAP I need help

Answers

The answer is meters
The answer would be meters

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

Answers

Lol it is me.again



B

What are all things linked together by?



a
plant plankton
b
what they eat
c
small fish
d
temperature
Question 2 (2 points)
Which is at the top of their food chain?

a
plankton
b
shrimp
c
small fish
d
humans
Question 3 (2 points)
A food chain is part of a more complex web known as a _______.

a
food grid
b
food web
c
omnivore
d
carnivore
Question 4 (2 points)
What is a decomposer?

a
Plant eater
b
Meat eater
c
plant and meat eater
d
organism that breaks down dead plants and animals
Question 5 (2 points)
Which describes an omnivore?

a
meat eater
b
plant eater
c
meat and plant eater
d
organism that breaks down dead plants and animals
Question 6 (2 points)
What are the three main parts of a food web?

a
human, plants, animals
b
omnivore, carnivore, herbivore
c
producer, consumer, decomposer
d
food web, food chain, food spider
Question 7 (2 points)
What are two reasons listed in the passage that would be why plankton populations are decreasing?

a
pollution and predators
b
change in temperature and death rate
c
predators, and emigration
d
pollution and change in temperature
Question 8 (2 points)
Which location is the food chain listed in the second paragraph of the passage?

a
ocean
b
desert
c
grassland
d
rainforest
Question 9 (2 points)
Which TWO are examples of decomposers?

a
Apple Tree
b
Lion
c
Earth worm
d
Human
e
Mushroom
f
Sunflower
Question 10 (2 points)
What does it mean to be at the top of a food chain?

a
you are at risk of being eaten by predators
b
you do not have to worry about being eaten by predators
c
you create all of the other levels of the food chain
d
you decompose what is in the other levels of the food chain

Answers

Answer:

What they eat

Humans

Food web

organism that breaks down dead plants and animals

Meat and plant eater

producer, consumer, decompers.

Change in temp

I need more info

earth worm and apple treee

B you r not at risk of being eaten by predotor

Step-by-step explanation:

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A women buys a brand new premium recliner. it can reclined back to a 138 degree angle. what is the angle from the back of the recliner to the ground while it is reclined?

Answers

Jxhxhxudfififvucucjcjcjxuxucuc
Gshehshsveheksmsbsgsusjsnsbsbsh same

Please help me I really need these to be answered. Whoever does it gets 100 points!

Answers

Answer:

(6,15)

Step-by-step explanation:

Answer:

(6,15)

Step-by-step explanation:

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