the substitution method.
y = -4x + 15
-4x + 7y = 9

Answers

Answer 1

Answer: {y,x} = {3,3}

Step-by-step explanation:

1] y=-4x+15

[2] -4x+7y=9

Equations Simplified or Rearranged :

[1] y + 4x = 15

[2] 7y - 4x = 9

Graphic Representation of the Equations :

4x + y = 15 -4x + 7y = 9

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = -4x + 15

// Plug this in for variable y in equation [2]

[2] 7•(-4x+15) - 4x = 9

[2] - 32x = -96

// Solve equation [2] for the variable x

[2] 32x = 96

[2] x = 3

// By now we know this much :

y = -4x+15

x = 3

// Use the x value to solve for y

y = -4(3)+15 = 3

Solution :

{y,x} = {3,3}


Related Questions

Josslyn needs to earn at least $420 a week during her summer break to pay for college. She works two jobs, one at a restaurant that pays $18 an hour and the other tutoring for $16.50 per hour.

Let x be the number of hours she works at the restaurant and let y be the number of hours she works tutoring. Write an inequality that models this situation.

Answers

Answer:

x+y[tex]\geq[/tex]420

18x+16.50y[tex]\geq[/tex]420

Step-by-step explanation:

Answer:

18x + 16.50y ≥ 420

Step-by-step explanation:

Drag and drop each number to its correct position on the number line.

PLEASE HELP!

Answers

Answer:

where is the numberline miss

Answer:

you forgot the picture

:-(((

50!!! Points Paul needs 27 plants to fill his garden and has $99 to
spend. Lilies cost $5 each and tulips cost $2 each. Which
system represents the number of lilies (1) and tulips (t)
Paul can buy?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.

Tulips are represented by t .Lilies are represented by l .

Now we need to find which set of linear equations represent the above situation. So ,

Sum of number of lilies and tulips is 27 .

[tex]\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }[/tex]

Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,

[tex]\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }[/tex]

Hence we can see that our ans matches with option (a) which is ,

[tex]\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}[/tex]

Hence option (A) is correct .

The original cost of an item is $64 but you have to pay $78.08. What is the markup of the item as a percent

Answers

Answer:

22%

Step-by-step explanation:

$78.08 - $64 = $14.08

$14.08 * 100% / $64 = 22%


Please help me ASP with this I got 2 minutes to do it

Answers

Answer: 5/6

Step-by-step explanation:

Answer:

I believe the answer is 1 1/6

Step-by-step explanation:

Here is how I got 1 1/6

4 1/3 - 3 1/2

4 - 3 = 1

1/3 - 1/2 = 2/6 - 3/6 = 1/6

Answer = 1 1/6

A zookeeper took a random sample of 30 days and observed how much food an elephant ate on each of those days. The sample mean was 350 kg and the sample standard deviation was 25 kg. Find the 95% confidence interval for how much food the elephant eats.

Answers

Answer:

341.95≤x≤358.95

Step-by-step explanation:

The confidence interval formula is expressed as;

CI = xbar±(z×s/√n)

xbar is the mean sample

s is the standard deviation

z is the z score at 95% confidence interval

n is the sample size

xbar = 350kg

z = 1.96

s = 25kg

n = 30

Substitute

CI = 350±(1.96×25/√30)

CI = 350±(1.96×4.564)

CI = 350±(8.946)

CI = (350-8.946, 350+8.946)

CI = (341.05, 358.95)

Hence the 95% confidence interval for how much food the elephant eats us 341.95≤x≤358.95

Mike measured the height of an art frame as 6.33 feet, but the actual height was 7 feet. What is the percent of error in Mike's measurement? (5 points)

a
9.45%

b
9.57%

c
10.58%

d
13.33%

Answers

Step-by-step explanation:

Difference between measured vs actual

= 7ft - 6.33ft = 0.67ft.

Percent of error = (0.67ft/7ft) * 100% = 9.57%. (B)

Answer:

9.57%

Step-by-step explanation:

help asap i’ll give brainliest

Answers

Answer:

answers in this order

5

4

3

2

1

6

Step-by-step explanation:

i kno that the way these numbers are are kinda sus but this is correct

hope this helps <3

equation of the line through point (5,4) and perpendicular to y=−4/3x−2.

Answers

Answer:

y=3/4x+1/4

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.

So, to find the slope of the new line, we can use this equation:

-4/3m=-1

multiply both sides by 3/-4

m=3/4

So the slope of the new line is 3/4

Here's the equation so far:

y=3/4x+b (b is a placeholder)

we can substitute the point (5,4) into the equation, since the line is going to pass through it.

4=3/4(5)+b

4=15/4+b

1/4=b

So the line is y=3/4x+1/4

Hope this helps!

Evaluate b - y for b= -13 and y= -50.

Answers

Answer:

37

Step-by-step explanation:

because you are basically adding -13 to 50 because the minus and the -50 cancel eachother out


6,6,5,5, 4, 7,4,8, 4, 6, 5, 7,8
Find the modes of this data set.
what’s the mode?

Answers

Answer: 6, 5, 4

Step-by-step explanation:

The mode is the number that you see the most. 6, 5, and 4 appear 3 times in the set.

Answer:

6,5,4

Step-by-step explanation:

the all tie in repeating 3 times. The mode is what repeats the most. since 6,5,4 all repeats 3 times they tie for mode.

If I do my maths homework at a rate of 1.6 questions per minute, it will take me 47 minutes to complete. What rate is needed to complete it in 34 minutes?

Give your answer correct to 1 decimal place.

Answers

Answer:

Step-by-step explanation:

reqd. rate=(1.6)×47÷34≈2.2 questions per minute.

The required rate to complete the question in 34 minutes is given as 2.2 questions per minute.

What is the rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

As mentioned in the question, in homework rate of doing questions is 1.6 questions per minute.
It took 47 minutes to complete the whole expression,

Total questions in the homework given by,
Total question = rate × time
Total question = 1.6 × 47
Total questions ≈ 75 questions

Now,
If the time to complete the question is 34 minutes, the rate required is given by,
Rate = total question/time

Rate = 75/34
rate = 2.2 questions per minute.

Thus, the required rate to complete the question in 34 minutes is given as 2.2 questions per minute.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ2

I really really really really need help 9(7)/3

Answers

Answer:

21

Step-by-step explanation:

9*7 is 63 divided by 3 should get you 21.

Answer:

21

Step-by-step explanation:

Helpppppppppppppppppppppplppoollooppp

Answers

Answer:

I wouldn't advise putting answers from test on brainly its against the honor of code and you will get warned.

Step-by-step explanation:

Help please! I’ll give brainliest!

Answers

It 40 i think bu like hey

What is the slope of the line y=3

A. 3
B. -3
C. 0
D. Undefined

Answers

Answer:

0

Step-by-step explanation:

Slope is the rise (change in y) over the run (change in x).

y=3 is simply a horizontal line.

hope this helps!

What is special about y coordinate that goes with the x coordinate of 1on a proportional gragh

Answers

Answer:

The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If tou remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.

Step-by-step explanation:

I majored in Mathematics

The scatter plot shows the heights x (in inches) and the weights y (in pounds) of 10 people. Find the weight of the person who is 70 inches
tall. Then find the height of the person who weighs 125 pounds.

Answers

Answer:

70 inches weighs 160

125-pound person is 66 inches tall

Step-by-step explanation:

Exam Guidelines
Exam Instructions
Question 15 of 20:
Select the best answer for the question.
15. Simplify: (3 x 22) = 6 + [28 – (4)?1
A. 55
B. 23
ООО
C. 32
D. 46

Answers

B it is 23 have a good one

5x + 7 (-7) = 2x + 6 (-7)
What property is being shown above?
O Multiplication Property of Equality
Division Property of Equality
O Addition Property of Equality
Subtraction Property of Equality

Answers

Answer:

so sorry i had too

Step-by-step explanation:

someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Solve for n.
d=4m + 7n
n

Answers

Answer:

n = [tex]\frac{d-4m}{7}[/tex]

Step-by-step explanation:

Given

d = 4m + 7n ( subtract 4m from both sides )

d - 4m = 7n ( isolate n by dividing both sides by 7 )

[tex]\frac{d-4m}{7}[/tex] = n

Answer:

n = d - 4m ÷ 7

Step-by-step explanation:

d = 4m + 7n

d - 4m = 7n

7n = d - 4m

n = d - 4m ÷ 7

Thus, n = d - 4m ÷ 7

-TheUnknownScientist

Best and Correct answer gets Brainliest!!!

Answers

Answer:

Line A

Step-by-step explanation:

Line A crosses 5 at y when it hits 1 at x, meaning that constant of proportionality is 5. Trust me ; D.

1) Integers get bigger the further left they are located on a number line.
True
False
I need help!!!!!!!

Answers

Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The left of the number line is the domain of negative numbers. As you go left on the number line, the integers are smaller.

simplify -8z^8+(-14z^8)

Answers

Answer:

-22x^8

Step-by-step explanation:

-8z^8 + (-14z^8)

z^8 = z^8

-8 - 14 = -22

-22z^8

inverse laplace of L^-1 {5s/s^2 + 3s - 4}​

Answers

Answer:

[tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex] =  [tex]4e^{-4t} + e^{t}[/tex]

Step-by-step explanation:

Step(i):-

Given

           [tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex]

Factors of    s² + 3s - 4

               =    s² + 4s - s -4

               =   s( s +4 ) -1 (s +4)

               =   (s-1)(s+4)

  [tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex]

              =    [tex]L^{-1} (\frac{5s}{s+4)(s-1) } )[/tex]

By using partial fractions

           [tex](\frac{s}{s+4)(s-1) } ) = \frac{A}{s+4} + \frac{B}{s-1}[/tex] ..(i)

                s  = A ( s-1) + B( s+4) ....(ii)

          Put s= 1  in equation (ii) , we get

             1 = B(5)

           [tex]B = \frac{1}{5}[/tex]

         s = -4 in equation (ii) , we get

        -4 = -5A

         [tex]A =\frac{4}{5}[/tex]

Step(ii):-

    now the equation (i) , we get

[tex](\frac{s}{s+4)(s-1) } ) = \frac{4}{5(s+4)} + \frac{1}{5(s-1)}[/tex]

[tex]L^{-1} (\frac{s}{s+4)(s-1) } ) = 5( L^{-1} \frac{4}{5(s+4)} + 5L^{-1} \frac{1}{5(s-1)}[/tex]                      

By using inverse Laplace transform formula

[tex]L^{-1} (\frac{1}{s-a} ) = e^{at}[/tex]

[tex]L^{-1} (\frac{1}{s-1} ) = e^{t}[/tex]

[tex]L^{-1} (\frac{1}{s+4} ) = e^{-4t}[/tex]

[tex]L^{-1} (\frac{s}{s+4)(s-1) } ) = 5( L^{-1} \frac{4}{5(s+4)} + 5L^{-1} \frac{1}{5(s-1)}[/tex]                    

                      = [tex]4e^{-4t} + e^{t}[/tex]

     

Could someone help with me his before I go to sleep and I hope when I wake up the answer is here pls

Answers

The last one is correct

please help me wth this

Answers

c is the answer because you multiply the numbers outside of the parentheses to every single number inside the parentheses
Answer C is the core one

A druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. How much of each mixture should he use to make 10 ounces that contain 25% of the chemical? How many ounces of chemical are in the final mixture? 1 2.5 7.5

Answers

Let x be the amount of the solution containing 10% of the chemical. Then, the solution with 40% chemical becomes 10 - x. The equation for balancing the chemical content of the solution is,
0.10x + 0.40(10 - x) = 0.25(10)
The value of x is 5. Hence, the druggist should mix 5 ounces of each. There are 2.5 ounces of chemical in the final mixture.

Answer:

the answer is= 2.5

Step-by-step explanation:

good luck!

Find the value of 0 and round to the nearest whole degree

Answers

Answer:

57°

Step-by-step explanation:

[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]

2. The graph below shows how the water level of a swimming pool changes as the pool is
filled with water. What does the slope of the graph represent?
7
6
Depth of Water In
Swimming Pool (In foot)
N
1 2 3 4 5 6 7
Time (in hours)
A the time it takes to fill the pool completely
B. the maximum depth of the water in the pool
C. the rate at the pool fills in feet per hour
D. the rate at which the pool fills in hours per foot

Answers

Answer:

C. the rate at the pool fills in feet per hour

Step-by-step explanation:

Given

The attached graph

Required

What does the slope represent?

The slope of any graph can be calculated using:

[tex]Slope = \frac{Rise}{Run}[/tex]

Where:

Rise = The change in the vertical axis

Run = The change in the horizontal axis within the same interval as the Rise

The vertical axis measures depth in feet and the horizontal axis measures time in hour.

So:

[tex]Slope = \frac{Depth}{Time}[/tex]

or

[tex]Slope = \frac{Feet}{Hour}[/tex]

This means that the slope measures rate in feet per hour

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