What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60

Answers

Answer 1

Answer:

[tex]y = \frac{224}{15}[/tex]

Step-by-step explanation:

Given

[tex]y = 7x + 14[/tex]

[tex]2x + 4y = 60[/tex]

Required

Find y

First, substitute 7x + 14 for y in the second equation:

[tex]2x + 4y = 60[/tex] becomes

[tex]2x + 4(7x + 14) =60[/tex]

Open bracket

[tex]2x + 28x + 56 = 60[/tex]

[tex]30x = 60 - 56[/tex]

[tex]30x = 4[/tex]

Solve for x

[tex]x = \frac{4}{30}[/tex]

[tex]x = \frac{2}{15}[/tex]

[tex]y = 7x + 14[/tex] becomes

[tex]y = 7 * \frac{2}{15} + 14[/tex]

[tex]y = \frac{14}{15} + 14[/tex]

[tex]y = \frac{210+14}{15}[/tex]

[tex]y = \frac{224}{15}[/tex]

Hence:

[tex]y = \frac{224}{15}[/tex]


Related Questions

Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.

Answers

Answer:

M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.

The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.

What is the standard deviation?

The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.

Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.

Let X denotes the weekly salary of her mother.

X ~ Normal(740,432)

Let Y denotes the weekly salary of her father.

Y ~ Normal(535,252)

and X and Y are independent.

the average weekly salary of your parents combined = E(X+Y)

= E(X) + E(Y) = 740 + 535 =  1275

the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474

the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739

Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ5



7.8
7.2
7.99
7.141 greatest to least ?

Answers

in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.

7.990, 7.800, 7.200, 7.141.

7.99 , 7.8 , 7.3 , 7.141

An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, 30 taxi drivers receive a bottle of the additive to use the next time they fill their gas tank. The drivers then compare their gas mileage with the additive to their gas mileage before the additive was used.

What is the response variable in this scenario?

the age of the car
the 30 cars used in the study
the use of the additive
the gas mileage after the additive is used

Answers

Answer:

The answer is D. the gas mileage after the additive is used

Step-by-step explanation:

I got 100% on edg!

Answer:

d

Step-by-step explanation:

edge2o2o

What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units

Answers

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

Anna wrote a pattern starting at 0 and following the rule "add 2." Niko wrote a pattern starting at 0 and following the rule "add 4." Which shows the two patterns?
0, 2, 4, 6, 8,... Niko: 0, 4, 8, 12, 16,...
0, 2, 4, 6, 8,... Niko: 4, 8, 12, 16, 20,...
0, 2, 4, 6, 8,... Niko: 0, 4, 6, 8, 10,...
2, 4, 6, 8, 10,... Niko: 4, 8, 12, 16, 20,...

Answers

Answer:

The first one is the right answer

Step-by-step explanation:

Hope this helps have a good day

Answer:

the first one is right

Step-by-step explanation:

The mass of a textbook is 1.25 kg about how many pounds is this

Answers

Answer:

2.755778

Step-by-step explanation:

Just search how much pounds is 1.25 kg?

Which substitution method should be the best used to solve which system of equations

Answers

Answer: 6x+2y=1

Step-by-step explanation:

because it just is

wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba

Answers

Answer:

wooowooowowowowowowowowow

Step-by-step explanation:

Answer:

epic ninja

Step-by-step explanation:

ninja

Plz help with these 2 questions and thx !

Answers

Answer:

The first is 18.

The second is less than (<).

Step-by-step explanation:

Hope this helps <3

Answer:

1. 18

2. C

Step-by-step explanation:

1. 7/42=1/6 3•6=18

2. 3/7 is greater than 3/8

On a recent trip, Miles drove 58 miles the first hour,64 miles the second hour.and 62 miles the final hour. Estimate the average number of miles he drove each hour

Answers

Answer:

60

Step-by-step explanation:

all of those rounded to the nearest ten is 60

Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5

A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.

B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.

C) Lourdes dog gained weight every month because it is getting older.

D) Lourdes dog lost weight every month because the change in May is a negative number.​

Answers

Answer:

A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers

What is MR? Explain.

Answers

Answer:

MR is 20 because if the side lengths that are shown are congruent, then the bottoms are too. so each part of the bottom that has a number, that number repeats on the part that's part of that triangle. so the bottom lengths go           " 4 6 6 4" and you add those together and get 20

Solve the equation. 4(x + 5) - 4 = 4

Answers

Answer: How to solve your question

Your question is

4

(

+

5

)

4

=

4

4(x+5)-4=4

4(x+5)−4=4

Solve

1

Distribute

4

(

+

5

)

4

=

4

{\color{#c92786}{4(x+5)}}-4=4

4(x+5)−4=4

4

+

2

0

4

=

4

{\color{#c92786}{4x+20}}-4=4

4x+20−4=4

2

Subtract the numbers

3

Subtract  

1

6

16

16

from both sides of the equation

 

4. Simplify

5. Divide both sides of the equation by the same term  

 

6. Simplify

Solution  

=

3

Step-by-step explanation: I got this from a website but i hope this helps!!!!

4(x+5)-4=4
4x+20-4=4
4x+16=4
4x=4-16
4x=-12
X=-3

The graph shows the number of centimeters a particular plant grows over time. Given the points​ (0,0) and ​(5​,8​), how many centimeters does the plant grow per​ week?

can someone help me with this problem please?

Answers

Answer:

          8 cm

m = --------------    This is the desired rate of change, the amount the plant

          5 wk              grows per 1 week.

Step-by-step explanation:

Moving from point (0, 0) to point (5, 8), we see that the x-coordinate (the 'run') increases by 5 wk and the y-coordinate (the 'rise') increases by 8 cm.  Thus we have the rate of change

          8 cm

m = --------------    This is the desired rate of change, the amount the plant

          5 wk              grows per 1 week.

PLEASE HELP I WILL MARK YOU BRAINLIST PLEASE THANK YOU

Answers

Answer:

it is c

Step-by-step explanation:

the lines are parallel to each other

Draw lines to match each fraction,
decimal, or percent on the right to an
equivalent number on the left.

Answers

Answer:

0.45 = 9/20

38% = 19/50

27/50 = 0.54

0.68 = 17/25

80% = 4/5

Step-by-step explanation:

HELP PLZ
You don’t have to solve all of them just do the ones you know!

Answers

Supplementary angles equal to 180
Complimentary angles equal to 90
Adjacent angles are connected by a vertex and side
Vertical angles are opposite of each other on two intersecting lines

A1 is 64° more than A2, so A1 + 64 = A2
Input that into the equation.
A1 + A1 + 64= 180
2A1 = 116
A2 = 58
A1 = 58+64, 122

90 = A1 + A1 +20
70 = 2A
35 = A2
55 = A1

Complimentary angles equal to 90.
A1 is 49, so 90-49= 51.

$1,580 at 10% for 8 years

Answers

The answer is 1738
Hope this helps you

Please help!!! I will mark brainliest :)))

Answers

Answer:

its the first top one the 3rd one and the bottom one

Step-by-step explanation:

PLZ HELP WILL GIVE BRAINLIEST

Answers

the answer is c

Step-by-step explanation:

it is because you have to times 3 and 4 and 3 and 9

Answer:

The answer is 27/ 12x - 9 = 28

Step-by-step explanation:

All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.

3 ( 4x - 9 ) = 28 = 12x - 27 = 28

Hope this helped.

♡(ŐωŐ人)

Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)

Answers

It’s 59000000000099999999 miles

Answer:

55

Step-by-step explanation:

The points (5,-2) and (9, r) lie on a line with slope 3/2. Find the missing coordinate r.

Answers

Do you have a picture its pretty confusing without a picture

A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 11/4 feet long. What is the maximum number of the smaller pieces of wire that can be cut from the original piece of wire?

Answers

Answer:

1

Step-by-step explanation:

Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one

needs to be done quickly pls.

Answers

Answer:

50 Degrees

Step-by-step explanation:

30 because all triangles equal 180

As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than 10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 and
x + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply.

Answers

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

Answer:

The answers are B, C, and E.

Step-by-step explanation:

I got it right on edge

Which set of ordered pairs does not represent a function? O {(-3,-9), (7,9), (9, 1), (7,3)} O {(-3,8),(-6,5), (-5, -6), (1,-6)} O {(3,1),(-2,-9), (6,-9),(4,6)} o {(4,3), (-4,4),(-2,-5), (6,4)}​

Answers

Answer:

The first set of ordered pairs is not a function.

Step-by-step explanation:

The X value of 7 repeats, which means that it is not a function

Second, third and fourth set of ordered pairs does not represent a function so only the first one is a function.
This is because each x value has to has their distinct y value. So you notice all sets of ordered pairs except the first one, two different x-values have the common y-value, which cannot be happen.

please fast tell me​

Answers

Answer:

1). Option (b)

2). Option (d)

3). Option (d)

Step-by-step explanation:

Question (1)

For Pythagoras triplet,

(Largest number)² = (Number 1)² + (Number 2)²

a). 5² = 5² + 2²

   25 = 25 + 4

   25 = 29

  Not True.

b). 5² = 3² + 4²

   25 = 9 + 16

   25 = 25

   True.

c). 10² = 1² + 5²

   100 = 1 + 25

   100 = 26

   Not true.

d). 2² = 2²+ 2²

   4 = 4 + 4

   4 = 8

   Not true.

Therefore, Option (b) is correct.

Question (2)

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]

      = [tex]\frac{5-1}{5}[/tex]

      = [tex]\frac{4}{5}[/tex]

Therefore, Option (d) is the answer.

Question (3)

Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.

a). 6 + 3 > 2 ⇒ 9 > 2 [True]

    6 + 2 > 3 ⇒ 8 > 3 [True]

    2 + 3 > 6 ⇒ 5 > 6 [False]

    Triangle is not possible.

b). 2 + 8 > 3 → 10 > 3 [True]

    8 + 3 > 2 → 11 > 2 [True]

    2 + 3 > 8 → 5 > 8 [False]

   Triangle is not possible.

c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   2.5 + 2.5 > 5.5 → 5 > 5.5 [False]

   Triangle is not possible.

d). 3 + 6 > 7 → 9 > 7 [True]

    3 + 7 > 6 → 10 > 6 [True]

    7 + 6 > 3 → 13 > 3 [True]

   These are the sides of a triangle.

Therefore, Option D is the answer.

HELP ME I NEED HELP WITH THIS!?!?! I WILL MARK BRAINLIEST!!!

Answers

Answer:

The answer is -70

Step-by-step explanation:

How I got the answer.....

-21-49 = -70

Hope this helps! :)

How much cinemeters is 5 inches

Answers

Answer:

5 inches is equal to 12.7 centimeters.

Step-by-step explanation:

There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.

Answer:

12.70 cm hope it is right

Step-by-step explanation:

8. Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC​

Answers

Step-by-step explanation:

Angle ADB = Angle CBD = 90° (given)

Side AB = Side DC (given)

Common side DB / BD

By HL congruence, triangles ABD and CDB are congruent.

Therefore Angle ABD = Angle CDB

=> Line AB is parallel to Line DC (Z angles)

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