Solve for x.

5x+2y=13
x+2y=9

Answers

Answer 1

Answer:

x = 1

y =

5x + 2y = 13

x + 2y = 9

Add both equations.

6x + 4y = 22

Solve for x.

6x = 22 - 4y

x = 22/6 - 4/6y

step-by-step explanation:

Put x as 22/6 - 4/6y in the second equation and solve for y.

22/6 - 4/6y + 2y = 9

-4/6y + 2y = 9 - 22/6

4/3y = 16/3

y = 16/3 × 3/4

y = 48/12

y = 4

Put y as 4 in the first equation and solve for x.

5x + 2(4) = 13

5x + 8 = 13

5x = 13 - 8

5x = 5

x = 5/5

x = 1


Related Questions

Pls i need help on these I HAVE BEEN STUCK

Answers

Answer:

5. D

6. B

7. B

Step-by-step explanation:

According to a Numbeo report, the average cost of milk in the US today is $3.12 per gallon What is the equivalent cost of milk in Pakistani rupees per liter? 1$= 155.00 rupees 1 gallon=3.8 liters

Answers

Answer:

40.78 rupees per liter

Step-by-step explanation:

Given data

The average cost of milk in the US today is $3.12 per gallon

1$= 155.00 rupees

1 gallon=3.8 liters

Hence the average cost in pakistani rupees will be

=155/3.8

=40.78 rupees per liter

Pls help no links pls this is due and i need help

Answers

Answer:

angle 1=127 degree

angle 3=127 degree

angle 2=53 degree

angle 4=53 degree

angle 5=37 degree

angle 6=90 degree

angle 7=53 degree

angle 8=37 degree

angle 9=37 degree

angle 10=143 degree

angle 11=37 degree

angle 12=143 degree

Step-by-step explanation:

What is the least common multiple of the two denominators 6/8 and 4/32, only answer are 18, 8, 32, and 12 which one there are no 4

Answers

Answer:

32

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

the correct answer is 32

If you can please do it all just tryna go to sleep

Answers

Answer:

1. 1

2. -3

3. yes

4. no, it is not, because the function stop at point (-6, -2)

5. -2

How does this make you feel?

Answers

Answer:

sad to be honest

Step-by-step explanation:

Answer:

yo lemme stand in that dark door way

there

Step-by-step explanation:

PLS HELL
please tell me the answer and explain how you got it ty

Answers

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Hope this helps u don’t know how ur teacher thought this is how my teacher thought me

write an explicit rule for the nth term of the sequence 40, 43, 46, 49, ... ​

Answers

Answer:

40 + 3n

Step-by-step explanation:

40 is starting number

3n is 3 times the number in the sequence because it goes up by 3 each term

HELP ASAP!! What is the image of (-3,9) after a reflection over the line y=x?

Answers

Answer:

(9,-3). is the answer hope u like it

I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25 each. If I sold 51 baked goods and made $53.25 from the bake sale, which item’s sales made the most money? Cookies Brownies

Answers

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items  so c+b = 51

Cookies are .75  and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

help please i need it really bad pls :(

Answers

Answer:

option 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

There are 10 data points in the graph, so the second one represents all 10 data points whereas the first one only shows the values and not how many of each value there are

Darnel and Lester took a fishing trip with their scout troop last weekend. Darnel caught 4
catfish and 8 trout. Lester caught 3 catfish and 6 trout. Did the boys catch the same ratio of
catfish to trout?
yes
no

Answers

Answer:

Yes, the boys caught the same ratio of catfish to trout.

Step-by-step explanation:

First, find the ratios of catfish to trout for both Darnel and Lester.

Darnel's ratio is 4:8, since he caught 4 catfish and 8 trout.

This can be simplified to 1:2 by dividing each number by 4.

Lester's ratio is 3:6, since he caught 3 catfish and 6 trout.

This can be simplified to 1:2 by dividing each number by 3.

So, both of their ratios are 1:2.

Yes, the boys caught the same ratio of catfish to trout.

Angelica used four congruent equilateral triangles. Each side of the triangles was 14 inches. The height of each triangle was 12.1 inches. Which figure did she construct? What is the surface area of her figure? 7 Check your guesses from Exercise 3. Were you correct?​

Answers

Answer:

in simplified version   it would be x ≤-4

Step-by-step explanation:

multiply each term in x ≤-4 by -1

Angelica constructs a regular tetrahedron

The surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]

What is equilateral triangle?

"It is a triangle that has all its sides equal in length and all angles are 60° in measure."

What are congruent triangles?

"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."

What is a regular tetrahedron?

"It is a triangular pyramid having congruent equilateral triangles for each of its faces."

Formula of area of regular tetrahedron:

[tex]A=\sqrt{3}\times a^{2}[/tex], where 'a' is the edge length of tetrahedron

For given question,

Angelica used four congruent equilateral triangles.

She constructs a regular tetrahedron using four congruent equilateral triangles.

The length of each edge of tetrahedron = side length of equilateral triangle

So, each edge of tetrahedron measures 14 inches.

Using the formula of area of the regular tetrahedron,

[tex]A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2[/tex]

Therefore, the surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]

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Javier and his family drove to see Javier's grandparents during summer vacation in 2006. Gas prices varied from place to place. The gas prices Javier saw advertised advertised during the trip are shown below. What is the difference between the mean and median gas prices in dollars?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data to calculate the mean and the median are missing.

To solve this, I will assume the following values:

[tex]13, 18, 13, 14, 13, 16, 14, 21, 13[/tex]

[tex]n = 9[/tex]

The mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

[tex]Mean = \frac{13+ 18+ 13+ 14+ 13+ 16+ 14+ 21+ 13}{9}[/tex]

[tex]Mean = \frac{135}{9}[/tex]

[tex]Mean = 15[/tex]

To calculate the median;

Start by sorting the data

[tex]Sorted: 13, 13, 13, 13, 14, 14, 16, 18, 21[/tex]

[tex]n = 9[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}[/tex]

[tex]Median = \frac{9 + 1}{2}[/tex]

[tex]Median = \frac{10}{2}[/tex]

[tex]Median = 5th[/tex]

The median is the 5th item on the list; i.e. 14

So:

[tex]Median = 14[/tex]

The difference (d) between the mean and the median is:

[tex]d = |Mean - Median|[/tex]

[tex]d = |15 -14|[/tex]

[tex]d = |1|[/tex]

Remove absolute bracket

[tex]d=1[/tex]

The difference in the mean and the median of the assumed dataset is 1

Find the slope of the line that passes through (7, 71) and (-100, -1)

Answers

Answer:

72/107

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-1 -71)/(-100-7)

    = -72/-107

    = 72/107

The ratio of two radii of two spheres is 15:8. If the surface area of larger sphere is 706.9 mm2, fine the surface area of the smaller sphere.

Answers

Answer:

201.1 mm²

Step-by-step explanation:

Smaller sphere = 8

Larger sphere = 15

Larger sphere surface area = 706.9 mm²

Smaller sphere surface area = x

Hence:

Since we are dealing with surface area

8²/15² = x/ 706.9

Cross Multiply

15² × x = 706.9 × 8²

x = 706.9 × 8²/15²

x = 201.07377778 mm²

x ≈ 201.1 mm²

Therefore, the surface area of the smaller sphere is 201.1 mm²

Select the correct answer from each drop-down menu.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved.
He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.

The two times Tyler selects a shirt from the suitcase are( dependent, independent) events
The probability that he selects a short-sleeved shirt both times is (3/4, 9/14, 9/16, 15/28)

I think the first one is independent but I’m not sure on the second.

Answers

Answer:

The two times Tyler selects a shirt from the suitcase are independent events

The probability that he selects a short-sleeved shirt both times is 9/16.

Step-by-step explanation:

We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.

To find the probability, we use the multiplication rule:

[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has

[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]

- 2022 Edmentum

The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of short sleeved shirts are 6

Total number of shirts is 8

The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.

The probability that he picks a short sleeved shirt is (6/8)

The probability that he picks a short sleeved shirt both times is

= (6/8) *(6/8)

= (9 /16)

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Edna has $900 in a savings account that earns 5% interest per year. The interest is not compounded. How much interest will she earn in1 a year?

Answers

Answer:

I= $45

Step-by-step explanation:

Giving the following information:

Edna has $900 in a savings account that earns 5% interest per year.

To calculate the interest earned, we need to use the simple interest formula:

I= P*r*t

P= principal= $900

r= interest = 0.05

t= time= 1

I= 900*0.05*1

I= $45

If x is an even number , the function f(x) = 2x-1 gives an odd number. Identify the set of odd numbers corresponding to this set of even numbers: {0,2,4,6,8}

Answers

Answer:

{-1, 3, 7, 11, 15}

Step-by-step explanation:

f(x) = 2x − 1, {0, 2, 4, 6, 8}

f(0) = 2*0 − 1 = 0 - 1 = -1

f(2) = 2*2 − 1 = 4 - 1 = 3

f(4) = 2*4 − 1 = 8 - 1 = 7

f(6) = 2*6 − 1= 12 - 1 = 11

f(8) = 2*8 − 1= 16 - 1 = 15

Find the gradient of the following line

Answers

Gradient = 4

Explanation:

Take the points (0, 1) and (-1, -3)

Let (0, 1) be (x1, y1) and let (-1, -3) be (x2, y2)

m (gradient) = (y2 - y1)/(x2 - x1)
m = (- 3 - 1)/(- 1 - 0)
m = (-4)/(-1)
m = 4

The height of a refrigerator would be about?
A. 7 inches
B. 7 feet
C. 7 yards
D. 7 miles​

Answers

The correct answer is B. 7 feet

Answer:

i think its b) 7 feet

Step-by-step explanation:

Please answer!!
I’ll give brainlist!

Answers

Answer:

1st Question: 15   2nd Question: 52

Step-by-step explanation:

Each shape is a right triangle, that means it's 90 degrees. If you subtract the number shown by 90, you will have your missing value.

how do i get boys to like me?

Answers

Start looking like the standards because y’all starting to look the same

Answer:

don't

Step-by-step explanation:

they suck, wait until you're older and they are more mature

guys under the age of 18 tend to be immature and annoying

Given: Point B is the midpoint of segment AC and
segment AC = 12
Prove: Segment AB = 6
Select the reason that best
supports Statement 5 in the given proof.
Whoever answers could u give 5 and 6? They’re beside each other.
given proof.
A. Distributive Property
Statement:
1. AC =12
2. B is the midpoint of AC
3. AB = BC
B. Substitution
Reason:
1. Given
2. Given
3. Definition
of a midpoint
4. Postulate
5.[?]
6.
7. Algebra
8. Division Property
of Equality
C. Division Property of Equality
D. Subtraction Property of Equality
4. AB + BC = AC
5. AB + AB - AC
6. AB + AB = 12
7. 2(AB) = 12
8. AB = 6
Copyright © 2009 aon cells Corporation. All Rights Reserved.
search

Answers

Answer:

Substitution

Step-by-step explanation:

For statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

What is the midpoint of the segment?

It is defined as the middle point of the segment or line(any geometry may have a midpoint) around two identical sizes formed. The midpoint bisects the segment.

We have:

Point B is the midpoint of segment AC and

Segment AC = 12

Prove: Segment AB = 6

The statement(5):

AB+AB = AC  (here BC is substituted by AC)

So the reason is substitution.

The statement(6):

AB + AB = 12  (here AC is substituted by 12)

So the reason is a substitute.

Thus, for statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

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The coordinates of points A and B are?

Answers

B.) (-1, 3) , (3, 2)

Step-by-step explanation:

Not sure how to explan...

Answer: B: 3,2 A: -1,3

Step-by-step explanation:

Solve the following system.

y = -2x 2 + 3x - 1 and x + y = -1.

The solutions are
and

Answers

Answer:

x = 0, y = -1
x = 2, y = -3

Step-by-step explanation:

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?

Answers

Answer:

3/16

Step-by-step explanation:

The total number of students = no. of students passed + number of students who failed.

i.e, 13+3=16

probability = 3/16 = 0.1875

Hope u understand

Please mark as the brainliest

Thank You

alex baked 2.5 batches of brownies. But, 5 brownies burned! if he now has below 15 brownies, how many were in each batch.​

Answers

Answer:

The number of brownies in each batch is less than 8.

Step-by-step explanation:

Baked batches of brownies = 2.5

Number of burned brownies = 5

Number of brownies left is less than 15  

So, the total number of brownies is less than 15 + 5 = 20  

Number of brownies in each batch is

n < 20/2.5

n < 8

So, the number of brownies in each batch is less than 8.

I need help with the answer immediately!!!!!

Answers

Answer:

y= - 1/6x + 2

Step-by-step explanation:

I know you need it quick

Y=1/6x+2
This is the correct answer

What is the volume of a hollow ball whose other radius is 200m and inner radius of 100m? What is the mass if it is iron?

Answers

Solution :

Volume of ball = Volume of outer ball - Volume of inner ball

[tex]V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3[/tex]

Now, density of iron is, d = 7300 kg/m³.

So, mass of iron ball is :

[tex]m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m = 2.14 \times 10^{11}\ kg[/tex]

Hence, this is the required solution.

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