determine the value of a + b in the system of equations below.

5a + 4b = 22
7a-b= 11

Answers

Answer 1

Answer:

We have a + b as;

2 + 3 = 5

Step-by-step explanation:

Here, we want go get the value of a and b

from the second equation, we can get an expression for b

We have this as;

7a - b = 11

Thus,

b = 7a - 11

Now, from here, we can substitute the value of b into the first equation

We have this as;

5a + 4(7a - 11) = 22

5a + 28a -44 = 22

33a = 22 + 44

33a = 66

a = 66/33

a = 2

Recall;

b = 7a - 11

substituting the value of a from above;

b = 7(2) - 11

b = 14 - 11

b = 3


Related Questions

6a+4b−66, a, plus, 4, b, minus, 6 when a=1a=1a, equals, 1 and b=3b=3b, equals, 3.

Answers

Answer:

The answer is 12.

Step-by-step explanation:

We need to find the value of the given expression 6a+4b−6 when a = 1 and b = 3

Put a = 1 and b = 3 in the above expression.

6a+4b−6 = 6(1) +4(3) -6

= 6+12-6

= 12

So, the value of the given expression is equal to 12.

What is the median of the data set? 15, 19, 20, 22, 26, 30, 31
O A. 15
O B. 31
O c. 22
O D. 7.​

Answers

Answer:

C. 22

Step-by-step explanation:

The median is the middle number of the set if the numbers are in order from least to greatest.

This set of numbers is in order, so the median is the middle number = 22

Of the 140 pages in a book, 80% of them have illustrations. How many pages have illustrations?

Answers

Answer: 140 x

25%=35 or 140/4 = 35

Step-by-step explanation:

Answer:

112 pages have illustrations.

Step-by-step explanation:

A publishing house is selling subscriptions to its magazines for 20% off the original price. If a subscription to Newsweek Magazine is on sale for $72, how much does it usually cost?

Answers

Answer:

90

Step-by-step explanation:

The magazines are sold at a discount. Discount reduces the price of the good

If the magazines are sold at 20%, the magazine's price would be 80% (100% - 20%) of the original price

let a represent price of the magazine before the discount

This equation represents price of the magazine after the discount

0.8 x a = $72

Divide both sides by 0.8 and find a

a = $90

A consumer magazine rates televisions by identifying three levels of​ price, three levels of repair​ frequency, four levels of​ features, and three
levels of picture quality. How many different ratings are​ possible?

Answers

Answer:

10

Step-by-step explanation:

please answer the question in the picture for twenty points, any trolls will be reported

(if you can’t see i’ll write the question below)

write each ratio in the form 1:n


a. 5:15

b. 30:24

c. 1/4:3

d. 3/5:2/3

please I really need help!! :)

Answers

Answer:

a. 1:3

b. 5:4

c. 1:12

d. 10:11

Step-by-step explanation:

reduce

a. 5:15= 1:3

b. 30:24= 5:4

c. 1/4:3= 1:12

d. 3/5:2/3= 10:11

Damien is buying tickets to a movie. The movie he and his friends want to watch cost $4.85 per ticket. Damien has $32.00 total.
What is the greatest ticket Damien can buy?

Answers

Answer:

6

Step-by-step explanation:

Setup a equation.

32=4.85x (x equals amount of people)

Then divide both sides.

x=6.60

Obviously you can't split a person into .6, so the greatest amount of tickets is 6

x=greatest number of tickets Damien can afford to buy

x=32/4.85
x=6.56
x~6
Damien can buy 6 tickets
6•4.85=31.96$

1. How much profit will the company make under each of the following scenarios? (1) sell
10 pairs of jeans at full price for $100; (2) sell 15 pairs of jeans at a discount for $80; or (3) sell
25 pairs of jeans at full price for $100 by spending $500 on promoting the brand. Which
scenario would be most profitable?
(SHOW WORK)

Answers

Answer:

1st scenario comes up to 1000 dollars.

2nd scenario 1200 dollars

3rd is 2000 dollars.

This makes the third scenario most profitable.

Step-by-step explanation:

Please help ASAP. And can you please explain how you got the answers. Will give 100 points.

Answers

Answer:

1: 6x^2+7x+8

trinomial

2:sry but i cant remember how to do these

3:

-tri

-bi

4:

3x^5-11x^4-4x^3+3x^2+x

Step-by-step explanation:

what is the value of X?

R=120 degrees

T=130 degrees

X=blank degrees

Answers

X =blank degrees is the answer

A 44-inch pendulum swings at an angle of 14°. Find the length of the arc to the nearest hundredth of an inch through which the tip of the pendulum swings.

Answers

Answer:

10.75 inches

Step-by-step explanation:

A 44-inch pendulum swings at an angle of 14°. Find the length of the arc to the nearest hundredth of an inch through which the tip of the pendulum swings.

The formula of the length of the arc subtended by pendulum is given as = (x/360)*2πr or (x/180)*πr

Where:-

x = angle subtended by pendulum which is = 14°

r = Length of the pendulum = 44 inch

Lenghth of arc = ?

By putting values

Length of the arc = (14/180 × π × 44

= 10.751228192 inches

Approximately = 10.75 Inches

pls can u help me answer this❔​

Answers

1.4/5
2.5/6
3.4 7/9
4.1/2
5. 5/12
6. 3 1/7
7. 12/35
8.21/25
9. 1/2
10. 2/15

What are all of the parallelogram theorems

Answers

AB, BC, CD, DA this tells you the parallelogram theorems

Biologists discovered an invasive bird species on an island. The function fff models the population size (in hundreds of birds) for this species as a function of time (in months) after being discovered. Plot the point on the graph of fff that corresponds to the number of birds in the population when the biologists discovered it.

Answers

The point (4,9) corresponds to the number of birds in the population when the biologists discovered it.

What is a function?

The function is a type of relation, or rule, that maps one input to a specific single output.

Biologists discovered an invasive bird species on an island.

The function fff models the population size (in hundreds of birds) for this species as a function of time (in months) after being discovered.

The population drops after 4 months making that the maximum the population of the fish.

The answer will be (4,9) the vertex of the parabola which is basically the top of the peak.

The point (4,9) corresponds to the number of birds in the population when the biologists discovered it.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Identify the characteristics of the graph of the quadratic function shown.

Answers

Answer:

(0,0)

(-3,0)

when x<4 the given curve is decreasing

domain(0,0) the range is (-3,0)

Step-by-step explanation:

give me the brinalst plzz i slove ur answer

The domain and range of function is (0,8).

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

The graph

Now

The domain is on x axis (0,8)

The range is on y axis (-3,9)

When x<4, both are positive.

Therefore, the domain answer will be (0,8).

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ6

I NEED THIS RIGHT NOW!
PLEASE HELP ME

Question: What is the ordered pair that is symmetric to the point (9,5) ?

Answers

Answer:

(-5,5)

Step-by-step explanation:

Look across the y-axis and you find the corresponding pair.

the expression x10-100 is equivalent to what

Answers

Answer:

90

Step-by-step explanation:

which point is located on the x-axis?

Answers

Answer:

any point that x is 0

Step-by-step explanation:

What are the set of odd numbers that are less that or equal to 5?

Answers

Answer:

1 and 3

Step-by-step explanation:

Hi! I was putting up a test on other people with this question and i wanted to see if anyone solves this correctly? PLEASE ANSWER ASAP

Answers

Answer:

Assuming the shape is a half-circle, there's two right angles.

Step-by-step explanation:

The angle between the straight segment and the half-circle can be measured by taking a tangent line at the intersection point and it will of course be perpendicular to the straight segment, assuming the segment is the diameter of the circle).

Find the measure of each numbered angle.​

Answers

Answer:

Step-by-step explanation:

(2)= 90-53 = 37

(1) = 180-74-37 = 69

(4) = 180-69-90 = 21

(3) = 180-53-21 = 106


The lengths of the sides of a triangle are 9, 12, and 15. Classify the triangle as acute, Right or obtuse

Answers

Answer:

I think it should be scalene

Step-by-step explanation:

It depends on how you map each lengths to form a triangle

What kind of transformation is shown in the picture?​

Answers

Step-by-step explanation:

Rotation would be the best answer

1) What is the difference? Complete the equation.
-2 – 8= ?

Answers

Answer:

-2 -8 is -10 because we’re subtracting 8 out of -2

brainliest please

Answer:

-10

Step-by-step explanation:

-2 - 8 = -10

When you subtract a negative, the minus sign becomes a plus sign and the negative number becomes positive.

Hope this helps!

Hii! I need HELP!! SOMEONE PLS HELP ME!!!!

Y varles directly with X and has a constant rate of change of 6. When the value of Y is 11, then the value of X could be?
greater than 11
less than 2
equal to zero
equal to 6

will give BRAINLIEST if correct
pls no spamming and links WILL be reported
thx >.<​

Answers

Answer:

less than 2

Step-by-step explanation:

Hello There!

If x varies with y and has a constant rate of change of 6 then we can create an equation to solve for y

y = 6x

Now we want to find x when y = 11

given the y value we plug in 11 to y

11 = 6x

now we solve for x

step 1 divide each side by 6

6x/6

11/6=1.83

we're left with x = 1.83

so we can conclude, when y = 11 x is less than two

extra notes:

because y values directly with x we are using a y = kx equation therefore we don't have to worry about a y intercept because the y intercept would be 0

Can someone pls help meee

Answers

Answer:

23°

Step-by-step explanation:

straight line=180

82+24+51=157

180-157

AABC is reflected over the yaxis.

What are the vertices of AA'B'C'?

Answers

Answer:

A'=(-1, 5)  B'=(-2, 3)  C'=(-5, 4)

Step-by-step explanation:

Reflecting over the y-axis changes the only the first point changes into a negative, while the second stays the same.

229 students went on a field trip. Six buses were filled and 5 students traveled in cars. How many students were in each bus

Answers

Answer:

37.33 students were in each bus

Step-by-step explanation:

total student =229

travelled student by car =5

travelled student by 6 buses=(229-5)=224

travelled student by 1 buses=224/6=37.33

Calculate the perimeter of this shape.
10 cm
19 cm

Answers

It would be 10+10+19+19 and the answer will be the perimeter with cm!

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

A

Step-by-step explanation:

Photomath, lol

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