How to solve
3x+y=9
5x+4y=22

Answers

Answer 1

Answer:

(2, 3) x=2, y=3

Step-by-step explanation:

There are two ways to solve this: substitution & elimination:

Using substitution for this equation:

[tex]\left \{ {{3x+y=9} \atop {5x+4y=22}} \right.[/tex]

3x + y =9

y = 9-3x

Substitute for y:

5x + 4(9 - 3x) = 22

5x + 36 - 12x = 22

-7x = -14

x = 2

Solve for y:

3(2) + y = 9

6 + y = 9

y = 3


Related Questions

In the angle of elevation from the tip of the shadow to the top of the tree is 32 degrees, what is the height of the tree to the the nearest tenth oslf a foot?
-15.6
-40.0
-21.2
-13.2
Ill mark you the brainlest if you let me. Answer now pleaseeeee​

Answers

Answer:

A. 15.6

Step-by-step explanation:

tan(32)*25

PLEASE HURRY!!!!!!!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $35,070 . The variable costs will be $12 per book. The publisher will sell the finished product to bookstores at a price of $20.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

12.5x = 54150

x = 54150%2F12.5

x = 4332 books need to be sold to cover production costs

Step-by-step explanation:

Check:

c = 12.50(4332) + 54150

c = 54150 + 54150

c = 108300

Please help me please help me please help me please help me please help me please help me ASAP ASAP ASAP ASAP Mariyah is standing on a diving board 8 feet above the surface of the water. Marvin is swimming 7 feet below the surface of the water. What is the distance between Mariyah and Marvin?

Answers

Answer:

Um... I'm sorry, this question was already answered, but I can back the guy up that he's correct at least? Yeah, I used a calculator and it is 15 ft. I'm sorry if I appear annoying for saying this

Answer:

15 feet-

Step-by-step explanation:

Calcutor =~=

I need help to get to 8.9 I need help to figure out the numbers for the empty boxes.

Answers

Answer:

Bottom row from left to right we have 0.4 0.3 0.3 0.1 0.5 0.5 Second row from right to left 0.7 0.6 0.4 0.6 1 On the Third row from right to left 1.3 1 1 1.6 On the Fourth row 2.3 2 2.6 On the Fith row 4.3 and 4.6 The last Row also the highest 8.9

Step-by-step explanation:

you take two numbers right and left add them and put the answer in the box above and in between

Question 16 (1 point)
A car depreciates at a rate of 6%. Lisa purchased a car for $23,000. Using the
appropriate decay factor how much should it be worth 10 years after Lisa
purchased it?

Answers

Answer:

After 10 years that Lisa has bought the car, her car will have an approximate value of:

$12388.15

Step-by-step explanation:

As you can identify in the exercise, every time a year passes, the value of the car has a decrease of 6% of its value that year, so what you should do is take the initial value of $23,000 and multiply it by 94% (the remaining value of its price), then take this result and multiply it by 94% and so on 10 occasions (since they are ten years of depreciation) as I show you below:

Value after depreciation = 23,000 * 94% = 21,620 Value after depreciation = 21,620 * 94% = 20,322.8 Value after depreciation = 20,322.8 * 94% = 19,103,432 Value after depreciation = 19,103,432 * 94% = 17,957,226 Value after depreciation = 17,957,226 * 94% = 16,879,793 Value after depreciation = 16,879,793 * 94% = 15,867,005 Value after depreciation = 15,867,005 * 94% = 14,914,985 Value after depreciation = 14,914,985 * 94% = 14,020,086 Value after depreciation = 14,020,086 * 94% = 13,178,880 Value after depreciation = 13,178,880 * 94% = 12,388,148

Therefore, it would have a value of approximately $12,388.15 after ten years of its purchase.

Find the product of each sum and difference.
(21+9)(21-9)

Answers

30 12

Step-by-step explanation:

21 + 9 equals 30 21 - 9 equals 12

What is the length of the missing side?
6 ft
7 ft

Answers

Answer:

9.21954446 (but round to what ever place is required)

Step-by-step explanation:

Use the Pythagorean theorem

a^2+b^2=c^2

6^2+7^2=c^2

36+49=c^2

85=c^2

c=9.21954446

round to what ever place you need

A cone and a cylinder have the same height and their bases are congruent circles

If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?

Answers

Answer:

30 cm³

Step-by-step explanation:

Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.

Volume of cone = ⅓ × 90 = 30 cm³

Where do baby’s come from?

Answers

the vagina hole that guys stick they pps in

Answer:

It's a long story.it forms in the mother for 9 months and then it's born.i hope I helped you out ☺️

Step-by-step explanation:

05.01 MC)
Determine the slope of the line 5x − 3y − 12 = 0. (5 points)

Question 1 options:

1)

negative five thirds

2)

negative three fifths

3)

three fifths

4)

five thirds

Answers

Answer:

slope = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 3y - 12 = 0 ( subtract 5x - 12 from both sides )

- 3y = - 5x + 12 ( divide all terms by - 3 )

y = [tex]\frac{5}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex]

Allison, Molly, and Connor had a challenge to see who could run the most in one day. Allison ran 2 miles. Molly ran 4 times as many miles as Allison, and Connor ran 3 times as many miles as Molly. How many miles did Connor run?

Answers

Answer:

12 miles

Step-by-step explanation:

Allison 2 miles

Molly , (2 times the miles of Allison so 2x2 is 4. so she ran) [4 miles]

Connor (3 times the miles of Molly so 4x3 is 12. so he ran) [ 12 miles}

Ms. Wilmith bought 4 bags of candies. Each bag contained 8 candies. She put an
equal number of these cand es into each of 9 gift boxes
How many candies were left over?
3
4
0
5​

Answers

Answer:

Number of candy left = 5

Step-by-step explanation:

Given:

Number of bags = 4

Number of candies in each bag = 8

Number of Gift boxes = 9

Find:

Number of candy left = ?

Computation:

Total number of candies = Number of bags × Number of candies in each bag

Total number of candies = 4 × 8

Total number of candies =  32

According to Euclid division lemma:

a = bq +r

32 = (3)(9) + Remainder

32 = 27 + Remainder

Remainder = 5

Number of candy left = 5

(x*y)*z=144
x = y*3
z = y*2

please help

Answers

Answer:

whats the question that u need help with

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m

Answers

Answer:

755 m²; 785 m²

Step-by-step explanation:

In the picture attached, the prism is shown.

Lateral area = perimeter of base * height

The base is a right triangles, then its perimeter is:

perimeter: 5 + 6 + 11.21 = 22.21 m

Lateral area = 22.21*34 = 755 m²

Surface area = lateral area + 2 (Area of base)

The base is a right triangles, then its area is:

area of base = (1/2)*5*6 = 15 m²

Surface area = 755 + 2*15 = 785 m²

center(-3,-4) radius=10 plz help

Answers

Y+4=10(x+3)
Y+4=10x+30
Y=10x+26

What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4

Answers

Answer:

2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

Answer: 2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

Which set of numbers would have no mode?
5, 1, 3, 1, 5
1, 2, 3, 3, 4, 5
-2, -2, -2, 2, 2, 2
0, 0, 1, 2, 3

Answers

Answer:

They all have a mode

Step-by-step explanation:

Answer: All of them do

Explanation: I would check with your instructor on this one.

The mode is the number that appears most frequently in a data set.

In all these sets here, there is a number that appears most frequently.

However, there are two sets that have 2 modes.

These sets are 5, 1, 3, 1, 5 and -2, -2, -2, 2, 2, 2.

Need help with this

Answers

Answer:

5 to the power of -2

Step by Step explanation:

Because you are diving, you need to subtract the powers.

For example, you subtract 10 from 12 to get -2

The 5 remains the same so the answer should be 5 to the power of -2

Hope this helps

The base of a rectangular prism has an area of 13 2/3, and the height of the prism is 8 5/6. What is the volume of the prism? Be sure to use this format: whole number numerator/denominator.

Answers

Answer:

120 [tex]\frac{13}{18}[/tex]

Step-by-step explanation:

The formula for finding the volume of a prism is:

V = Bh

You have to convert 13 [tex]\frac{2}{3}[/tex] into an improper fraction, like so:

[tex]\frac{41}{3}[/tex]

Convert the other:

[tex]\frac{53}{6}[/tex]

Multiply:

[tex]\frac{41}{3}[/tex] · [tex]\frac{53}{6}[/tex] = [tex]\frac{2173}{18}[/tex]

Convert to mixed fraction:

120 [tex]\frac{13}{18}[/tex]

math question screen shot down below

Answers

Answer:

6

Step-by-step explanation:

If you plug 3 into x for the equation, you are left with:

y=-3(3)+15

Expanding the parentheses:

y=-9+15

Combining like terms:

y=6 miles remaining

Hope this helps!

6. Y is 6. He has 6 more miles left to go.

-3*3+15=6

Select the equation that represents the graph below.

Answers

Answer:

D)

Step-by-step explanation:

The y intercept is at 3 and it goes up 3 over 2. and since its going up its positive. Remember rise over run.

Answer:

D

Step-by-step explanation:

Slope: 3/2

y-intercept:3

x,y

0,3

2,6

20 points! I need the answer ASAP! Thanks!

Answers

Answer: y=5/7x+2

Step-by-step explanation:

The y- intercept would be 2 since that is where the line goes through the y axis. Also if you use slope form you will see that the slope is 5/7.

Two similar prisms have surface areas that are 95
square inches and 1,520 square inches, respectively. How
many times larger is the second prism than the first prism?

Answers

Answer:

16 times larger

Step-by-step explanation:

Simple math here just do 1520/95=16 because your trying to find out how they scale to eachother, therefore finding out the difference in size by dividing.

Hope this helps:)

In the similar quadrilaterals below, what is the length of AB
10 cm
2.5 cm
8 cm
3 cm


Answers

Answer:

Side AB is 10 cm.

Step-by-step explanation:

The given quadrilaterals ABCD and EFGH are similar.

From the given figure, we can observe the following angles and sides are corresponding.

[tex]\angle A = \angle E=90^\circ\\\angle B = \angle F=63^\circ\\\angle C = \angle G=117^\circ\\\angle D = \angle H=90^\circ[/tex]

Ratio of corresponding sides will be equal:

AB:EF = BC: FG = CD:GH = DA:HE

We have to find the side AB.

Given the sides

EF = 5 cm

BC = 9 cm

DA = 8 cm

EH = 4 cm

So, ratio DA:EH = 8:4 = 2:1

We know that ratio of corresponding sides will be same:

AB:EF = DA:EH

[tex]\Rightarrow \dfrac{AB}{5} = \dfrac{2}{1}\\\Rightarrow AB = 10 cm[/tex]

So, side AB is 10 cm.

What is the surface area, in square inches, of the
sphere shown below? (SA = 4.0) (pi ≈ 1 3.14)

а. 530.7 sq in.
b. 2122.6 sq in.
с. 4245.3 sq in.
d. 9203 sq in.

Answers

Answer:

hey if you still need the i have them all just finished the test

Step-by-step explanation:

Please answer #5 A-C!

Answers

Answer:a

Step-by-step explanation:I know

Mateo makes 6 loaves of banana bread. He sells 2/3 of the loaves at a bake sale. Which expression represents how many loaves Mateo sold at the bake sale?

Answers

Answer:

2/3*6=4

Step-by-step explanation:

Each of the triangular faces has an area of 32 m2.
What is the surface area of the square pyramid?
64 m2
96 m2
192 m2
256 m2

Answers

Answer:

I know this is late, but the answer is C (192 m2)

Step-by-step explanation:

It was a question on Edge, and i got it wrong the first time (I picked D) But then I picked C (192) and got it right.

Hope this helps!

Answer:

c

Step-by-step explanation:

took the test

Find m Just trying to get my credit

Answers

Answer:

130

Step-by-step explanation:

2x+5x+5=180

7x+5=180

7x=175

x=25

5(25)+5=125+5=130

Answer:

∠ABC=130

Step-by-step explanation:

2x+5x+5=180

7x=180-5

7x=175

x=25

∠ABC=5*25+5=130

How do you find the height of this trapezoid?​

Answers

Answer:

Step-by-step explanation:

sin 60 = h/12

h = 12sin60

h = 12* √3/2 = 6√3 cm

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