what is the solution to this system of equations?

5x-y=40
y=2x-4

A) 20, 12
B) -20, 12
C) 12, -20
D) 12, 20

Answers

Answer 1
We know what y is given the second equation, so let’s plug it in

5x - (2x - 4) = 40

Solve for x

5x - 2x + 4 = 40

3x = 36

x = 12

Plug in x for either equation

y = 2(12) - 4

y = 24 - 4

y = 20

X = 12 and Y = 20, so D
Answer 2
Answer is D

{ solve simultaneously }
rearrange equation to make y the subject
5x-y=40
y=5x-40

Sub y=5x-40 into the second equation given ( y=2x-4 )

5x-40 = 2x-4

Solve normally to find x
x = 12

Sub x=12 into y=5x-40
Solve normally to find y
y = 20

Therefore, answer is D) 12, 20

Related Questions

1 point
10. Lisa owns a small business. There was a loss of $14 on Monday and a
profit of $18 on Tuesday. On Wednesday there was a loss of $6 and on
Thursday there was a profit of $7. Find the total profit or loss.*
$15 profit
$45 loss
$5 profit
$10 profit

Answers

Answer:

$5 in profit

Step-by-step explanation:

simple math

Mon: -$14
Tues: $18
Wens: -$6
Thurs: $7
-14+18=4
4 - 6 = -2
-2 + 7 = 5
$5 profit

10. What is the value of c? ​

Answers

Answer:

VALUE OF C = SUCK IT BRO

Step-by-step explanation:

Find the perimeter of the rectangle

Answers

Answer:

Perimeter: 4x+14

Step-by-step explanation:

The Formula for perimeter is P = 2L + 2W

So apply it:

L = x+7

W = x

[tex]P=2x+2\left(x+7\right)[/tex]

[tex]P=4x+14[/tex]

3. Daysmir is solving the inequality 15 - x < 14. He knows the solution to the equation
15 - x = 14.
How should Daysmir determine whether x > 1 or x < 1is the solution to the inequality
and which solution set is right?

Answers

Answer

ask a teacher

Step-by-step explanation:

if you want to learn the anwer it hard for me to exlpain but if you ask the teacher she will explain to you more better then i will

Two cubes are of sides 6 inches and 8 inches respectively. Find the ratio of (a) their sides, (b) their areas on one face, (c) their volumes.​

Answers

Answer:

a. the ratio of the sides is 6: 8, or 3:4

b. the ratio of the surfaces is [tex]\frac{6\times 6}{8\times8}[/tex] or 9:16, the square of the ratio of the sides.

c. the ratio of the volumes is [tex]\frac{6\times6\times6}{8\times8\times8}[/tex] or 27:64, the cube of the ratio of the sides.

Write an expression to represent:
Eight minus the quotient of two and a number xx

Answers

Answer:

8-(2/x)

Step-by-step explanation:

I need help

Given f(x)=-x+6 write an equation for f(x-2)

Answers

Answer:

f(x - 2) = - x + 8

Step-by-step explanation:

Substitute x = x - 2 into f(x)

f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8

Evaluate. 8.1÷0.9+0.43÷0.8⋅30 Enter your answer as a decimal in the box.

Answers

Answer: The answer is 25.125

3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?

Answers

Answer:

50 second

Step-by-step explanation:

let the distance between Michael and kyle (s)

s= 50 m

we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)

v = s/t

t = s/v

Vm = speed of Micheal

Vk = speed of kyle

v = ( Vm - Vk )

t = 50/(4-3) = 50 second

Hey everyone i would appreciate a step by step explanation. Also the actual question was written in mixed number form i just converted it into improper fractions.
10/9 + 56/27

Answers

Answer:

86/27 or 3 5/27

Step-by-step explanation:

10/9 is nothing but 30/27 (multiply the numerator and denominator by 3/3)

By adding 30/27+56/27, we get 86/27, which is our final answer

10/9 +56/27
LCM of 9 and 27 is 27
Divided 27 from both denominators
27 divided by 9 is 3 x 10=30
27 divided by 27 is 1 x 56=56
30+56 divided 27 = 86/27 or 3 5/27

14. Which of the following relations has an inverse that is not a function?
(1,1),(1,2).(3,4)
(1,2).(1,3),(4,3)
(1,4),(4,5),(5,6)
(0,0),(1,1),(2, 2)

Answers

Answer:

(1,2).(1,3),(4,3)

Step-by-step explanation:

The inverse of (1,2).(1,3),(4,3) is (2, 1), (3, 1), (3, 4) and this is not a function as a function is a set X to a set Y, not multiple to one.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The answer is the second option :)

HELP!!!!What is 1/4 turned into a decimal I REALLY NEED HELP BEFORE MY TEACHER GIVES ME A BAD GRADE

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

→1/4 as a decimal is 0.25

(I hope you get this answer correct, and also hope you have a great day or night! :)).

Line A is represented by the following equation: x + y = 2
What is most likely the equation for line B so the set of equations has no solution?

Answers

Answer:

[tex]ax+ay=k; a\ne0, k\ne2a[/tex]; line D in the options.

Step-by-step explanation:

The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!

The condition [tex]a\ne 0[/tex] makes sure you are still getting lines (else you would get rid of both x and y); the condition [tex]k\ne 2a[/tex] makes sure you're not picking line A again, just written in a different form.

Now that we have the options:

A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.

Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.

Line D is correct.

A store had a 20% off
Black Friday sale. One item was
originally $75. How much was it on
sale for

Answers

Answer:

$60

Step-by-step explanation:

20% off means 80% of original price

80% = 8/10 or 0.8

75 * 0.8 = 60

you could also do 20% = 1/5, 1/5 of 75 is 15, 75-15=60

How to simplify and multiply fractions.

Answers

Answer:

*Find a number on top of the fractions and a number on the bottom of the fractions that can both be divided by the same number.

*Divide both numbers in the fractions by this number.

*Write the answers to this division in the place of the original numbers in the fraction.

the quotiont of a number and 12 -3 = -4

Answers

Answer:

the answer would probably be the -3

Answer:

the number is -12

Step-by-step explanation:

Write this word expression in symbolic expression:

Let the number be n.  Then the quotient of n and 12, less 3, is -4, or

  n

------- -3 = -4

 12

                                                                             n

Combining the negative integers, we get:    -------- = -1

                                                                             12

and so n = -1(12) = -12

the number is -12

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6. PLS HELP

Answers

Answer:

x=m-7-6

Step-by-step explanation:

A box of cereal states that there are 96 calories in a
3
4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 3 cups of the​ cereal?

Answers

Answer: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

Out of 1700 people 49% were females how many more males than females were at the concert?
Pls explain how

Answers

Answer: 51% were males

Which means that there were 1% more males than females = 34 more males than Females

Step-by-step explanation:

100%-49%=51%

51%-49%=1%

1700x49%=833 females

1700x51%=867 males

867 Males -833 Females = 34 more Males

Last month, a carpenter made 2 tables. This month, he made 50% fewer tables. How many tables did the carpenter make this month?

Answers

Answer:

1

Step-by-step explanation:

2 divided by 2

Answer:

1 table

Step-by-step explanation:

2 x 0.5 = 1

Hope this helps!

A trail mix recipe includes granola, oats, and almonds. There are
135 Calories in a __
1
4-cup serving of the trail mix. How many Calories

are in 2 cups of trail mix?
what is the answer plz ?

Answers

Answer:

1080

Step-by-step explanation:

in 135 calories there is 1/4 cup

? there is 2 cup

135×2=270 ÷1/4

270×4=1080 cups of trail mix

what is 846837947+858

Answers

Answer:

846,838,805

Step-by-step explanation:

Add 846837947+858

Directions: Transform the following equations into standard form.
1. x2 + 2x = -1
2. 4 + x2 = 7x
3. x2 - x = 1
4. x2 + 9x = 10
5. 4x + 3 = x2
6. x2 + 5x +5
7. 2x5 + 7x = 3x
8. x2 = 3x + 8
9. x(x + 3) = 1
10. x2 - 3x = -2
11. y2 - 7y = -6
12. z2 - 5z = -4

Answers

The standard form is:

ax² + bx + c = 0

Convert each equation:

1. x² + 2x = -1                        add 1 to both sides

⇒ x² + 2x + 1 = 0

2. 4 + x² = 7x                        add - 7x to both sides and rearrange

⇒ x² - 7x + 4 = 0

3. x² - x = 1                            add - 1 to both sides

⇒ x² - x - 1 = 0

4. x² + 9x = 10                       add - 10 to both sides

⇒ x² + 9x - 10 = 0

5. 4x + 3 = x²                        add -4x - 3 to both sides

⇒ x² - 4x - 3 = 0

6. x² + 5x = 5                        add -5 to both sides

⇒ x² + 5x - 5 = 0

7. 2x² + 7x = 3                      add -3 to both sides

⇒ 2x² + 7x - 3 = 0

8. x² = 3x + 8                        add -3x - 8 to both sides

⇒ x² - 3x - 8 = 0

9. x(x + 3) = 1                         distribute and add - 1 to both sides

⇒ x² + 3x - 1 = 0

10. x² - 3x = -2                       add 2 to both sides

⇒ x² - 3x + 2 = 0

11. y² - 7y = -6                        add 6 to both sides

⇒ y² - 7y + 6 = 0

12. z² - 5z = -4                       add 4 to both sides

⇒ z² - 5z + 4 = 0

Answer: ^^

1. x2 + 2x + 1 = 0

2. x^2 - 7x + 4 = 0

3. x^2 - x - 1 = 0

4. x^2 + 9x - 10 = 0

5. -x^2 + 4x + 3 = 0

6. x^2 + 5x - 5 = 0

7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0

8. x^2 - 3x - 8 = 0

9. x^2 + 3x - 1 = 0

10. x^2 - 3x + 2 = 0

11. y^2 - 7y + 6 = 0

12. z^2 - 5z + 4 = 0

Step-by-step explanation:

:)

Pls tell me the answer and step by step too cus I don’t understand, thank u.

Answers

Step-by-step explanation:

if c =-11:

-(-11)-3=11-3=8≥-5.5

so the right answer is -c-3≥-5.5

A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.

Answers

15 miles because it travelled 30 miles then travelled 15 miles in the direction of the station, so 30-15=15

yoo I don't understand this pls help :))

geometry ​

Answers

Answer:

At the bottom of the text.

Step-by-step explanation:

The triangle is isosceles. The measure of the two internal angles J and K are equal; The misure of the external K angle (2) is half a circle minus the internal K (1). The internal angle in R is calculated by difference between 180 and twice the internal K angle (1).

1. 72° as well.

2. 180-70-70 = 40°

3. [tex]m\angle2 = 110 \rightarrow m\angle1 =70[/tex], Same as #2: 40°

4. [tex]x+2x+2x = 180 \rightarrow 5x=180 \righarrow x= 36[/tex]

5. [tex]x +(x+30)+(x+30) = 180 \rightarrow 3x +60 = 180 \rightarrow 3x= 120 \rightarrow x=40[/tex]

A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each fall. If it continues to bounce until it comes to rest, find the total distance in feet it travels.

Answers

Answer:

7ft

Step-by-step explanation:

Can you help me please?​

Answers

Answer:

B

Step-by-step explanation:

The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.

-8x+60=28 word problems pls

Answers

x=4

Step by step:

-8x+60=28

Subtract 60 on both sides.

-8x=-32

Divide both sides by -8

x=4

Hope this helps!! :)

e^ln(5x) =

5x
ln(5)
5ln(x)
ln(x)

Answers

Answer:

5x

Step-by-step explanation:

The natural log of 5x is the exponent to give e to get 5x as a result.  You are simply applying the definition of logarithm

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

Here, we have,

The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:

[tex]e^{ln(x)} = x[/tex]:

This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.

When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).

[tex]e^0 = 1[/tex]:

The natural exponential function raised to the power of 0 is equal to 1.

Now, let's simplify the expression step by step:

[tex]e^{ln(5x)[/tex]

Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:

5x

Therefore, the correct option is "5x."

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ6

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