Write y = x + 7 in standard form using integers.


3x – 2y = 21


–2x – 3y = 21


–2x + 3y = 7


–2x + 3y = 21

Write Y = X + 7 In Standard Form Using Integers.3x 2y = 212x 3y = 212x + 3y = 72x + 3y = 21

Answers

Answer 1

Answer:

[tex]-2x+3y=21[/tex]

Step-by-step explanation:

The equation was given to us in slope-intercept form.

Thus;

[tex]y=\frac{2}{3}x+7[/tex]

We multiply each term by 3 to obtain;

[tex]3y=2x+21[/tex]

We add [tex]-2x[/tex] to both sides to obtain;

[tex]-2x+3y=21[/tex]

This equation is in the form;

[tex]ax+by=c[/tex] (standard form).

The correct choice is D.

Answer 2

Answer:

-2x+3y = 21

Step-by-step explanation:

We have given a equation in slope-intercept form .

y = 2/3x+7

We have to rewrite above equation in standard form.

The standard form of equation is :

Ax+By = C

Multiplying by 3 to both sides of above equation, we have

3y = 3(2/3x+7)

3y = 2x+21

Adding -2x to both sides of above equation, we have

-2x+3y = -2x+2x+21

-2x+3y = 21 which is standard form of given equation.


Related Questions

How do you find the area of a triangle?

Answers

with it's formula

Area of Triangle = (1/2)(ab)sin(C) – This formula is used when two sides and the angle in between them are known. It can be obtained from the basic formula, Area of Triangle = 0.5 × base × height. The height with respect to side 'a' can be written in as b×sin(C), where C is the angle between a and b.

Harry's uncle gave him $62 to spend on basketball equipment. He bought 2 jerseys that cost $4 each, a basketball that cost $19, and a pair of shorts that cost $5. How much money does Harry have left?

Answers

Final answer:

Harry spent a total of $32 on basketball equipment, and since he started with $62, he has $30 left.

Explanation:

To calculate how much money Harry has left after purchasing basketball equipment, we need to add up the total cost of the items he bought and subtract that from the amount of money he was initially given. Harry bought 2 jerseys at $4 each, 1 basketball at $19, and a pair of shorts at $5.

Cost of 2 jerseys: 2 × $4 = $8

Cost of basketball: $19

Cost of shorts: $5

Now, we'll sum up the costs of these items to find the total expenses.

Total expenses = $8 + $19 + $5 = $32

Next, we'll find out how much money Harry has left after these purchases:

Money left = Initial amount - Total expenses

Money left = $62 - $32 = $30

So, Harry has $30 left after buying the basketball equipment.

Find the coordinates of the vertices of the figure after the given transformation. translation: (x, y)→(x + 1, y - 1) A) N'(0, -2), F'(4, 2), Q'(4, -2) B) N'(-1, 1), F'(3, -3), Q'(3, 1) C) N'(0, -1), F'(4, 3), Q'(4, -1) D) N'(0, -5), F'(4, -1), Q'(4, -5)

Answers

Answer:a

Step-by-step explanation:

The coordinate of the vertices after transformation N'= (0, -2), F'= (4, 2), and Q'= (4, -2) option (A) is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The coordinates are:

N(-1,-1), F(3,3), Q(3,-1).

Transformation rule:

(x,y) → (x+1, y-1)

N'= (0,-2)

F'= (4,2)

Q'= (4,'2)

Thus, the coordinate of the vertices after transformation N'= (0, -2), F'= (4, 2), and Q'= (4, -2) option (A) is correct.

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Leon is helping his baby sister Daphne eat her dinner. There are 121212 peas left in Daphne's bowl and 777 peas squished in her hair.
What is the ratio of peas in Daphne's bowl to peas in her hair?

Answers

Answer:

777:121212 is peas in her hair to peas left in her hair.

Answer:

12:7

Step-by-step explanation:

i had it on khan academy

I need help with this

Answers

for a triangular prism, its volume will simply be area of its base times its length.

the are of the base for this one is simply any of those triangular bases.  Now, let's notice, the right-triangle has a base of 9 and a height o 9, notice the tickmarks, whilst the prism also has a length of 13.

[tex]\bf \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(9)(9)}~~\cdot~~ \stackrel{\textit{length}}{(13)}\implies 9\cdot 13\implies 117[/tex]

There are 3 ways you can prove triangles similar without having to use all sides and angles?

Answers

You can tell if they're similar if they:

1) Have two of the same angles

2) If two pairs of corresponding angles in a pair of triangles are congruent.

3) If they are the same shape

Which statement below best describes the properties of liquids? A. Liquids have both a definite shape and a definite volume. B. Liquids have a definite volume but no definite shape. C. Liquids have a definite shape but no definite volume. D. Liquids have no definite shape or volume.

Answers

A.

A liquid can take the shape of its container

Two arcades charge an entrance fee and a fee per game. At Arcade A, the total cosi y (in dollars) of playing 2 games is represented
by the linear function y=0.75.2 + 2. The table shows the total cost for playing I games at Arcade B. Determine which arcade is
described by each phrase below.
Number of Games,
0
4
8
12
Total Cost (dollars), y
8
10
12
14
Arcade A
Arcade B

higher fee per game
higher entrance fee
higher total cost for 8 games

Answers

Answer:

Part a) Higher fee per game Arcade A

Part b) Higher entrance fee Arcade B

Part c) Higher total cost for 8 games Arcade B

Step-by-step explanation:

Let

x------> the number of games

Arcade A

we have that the linear equation is

[tex]y=0.75x+2[/tex]

The fee per game is $0.75

The entrance fee is $2

The cost for 8 games is equal to

[tex]y=0.75(8)+2=\$8[/tex]

Arcade B

Find the linear equation

Let

[tex]A(0,8),B(4,10)[/tex]

Find the slope of the line (fee per game)

[tex]m=\frac{10-8}{4-0}=0.50[/tex]

The point A is the y-intercept

The linear equation is

[tex]y=0.50x+8[/tex]

so

The fee per game is $0.50

The entrance fee is $8

The cost for 8 games is equal to

[tex]y=0.50(8)+8=\$12[/tex]

therefore

Part a) Higher fee per game Arcade A

Part b) Higher entrance fee Arcade B

Part c) Higher total cost for 8 games Arcade B

A bus route is 57 minutes long. A student is taking a trip on the bus for 2 3 the total route length. The student must also walk 10 minutes to get to the bus and 10 minutes from the bus to his destination. How long is the student’s total trip? A) 38 minutes B) 57 minutes C) 58 minutes D) 106 minutes

Answers

Answer:

its c i did the question

Step-by-step explanation:

The total time for the student's total trip is A = 58 minutes

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is = total time for the trip

Substituting the values in the equation , we get

The total length of the bus route is 57 minutes. The student is taking a trip for 2/3 of the total route length, which is (2/3) x 57 = 38 minutes

In addition to the time on the bus, the student must also walk 10 minutes to get to the bus and 10 minutes from the bus to his destination.

Therefore, the total time for the student's trip is:

38 minutes (on the bus) + 10 minutes (walking to the bus) + 10 minutes (walking from the bus) = 58 minutes

Hence , the time for student's trip is A = 58 minutes

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please help me!!!!!!!!!! 8oz= 1 cup

Answers

Answer:

Part A: 45

Part B: 22

Step-by-step explanation:

Can you guys please help me out

Answers

a. term

because signing a policy would mean signing a term agreement paper..

hope this helps!!

0.5 as hundredths in fraction form and decimal form

Answers

Answer:

5/100, .05

Step-by-step explanation:

The decimal form remains 0.5, but when expressed with a denominator of 100, it becomes 50.0%.

To express 0.5 as hundredths in fraction form, you convert the decimal to a fraction with a denominator of 100. Since 0.5 is equivalent to 50%, you would write this as 50/100. This fraction can also be simplified to 1/2 by dividing both the numerator and the denominator by 50.

In decimal form, 0.5 is already represented as a decimal and does not require conversion. However, if we are to express it with a denominator of 100, we simply move the decimal point two places to the right (multiplying by 100), yielding 50.00, which can then be represented as 50.0% when expressing as a percent.

A system of 3 linear equations in 3 variables is consistent and independent. How many solutions to the system exist

Answers

Answer:

One solution

Step-by-step explanation:

By definition:

A system of linear equations is classified according to the number of solutions such as:

* Consistent: If the system has at least one solution.

* Inconsistent: If the system has no solution

Then, the systems of consistent linear equations are classified as:

* Independent: If the system has only one solution

* Dependents: If the system has endless solutions.

Thus. A consistent and independent system of equations has only one solution

A student wants to reduce the size of a photograph that is 12 inches wide. She selects 75% on the photocopy machine. What will be the width of the copy?

Answers

Answer:

9 inches

Step-by-step explanation:

The length and width of the photograph will become 75% of the original dimensions. The original width is 12 inches. The reduced with is 75% of 12 inches. To find a percent of a number, multiply the percent by the number. Change the percent to a decimal by dividing the percent by 100, which means move the decimal of the percent two places to the left.

75% of 12 inches =

= 0.75 * 12 inches

= 9 inches

Answer: 9 inches

Step-by-step explanation:

75% of 12

75%=0.75

0.75 x 12= 9

9 inches

A sports bag has 40 golf balls. Some are yellow and some are white.There are 7 white golf balls for every yellow golf ball. How many white golf balls are there in the bag.

Answers

Answer:

35 white balls.

Step-by-step explanation:

you need to multiply 7 * some constant c and do the same to 1. The total has to come out to 40

7*c + c = 40      Combine the terms on the left.

8c = 40              Divide by 8

8c/8 = 40/8

c = 5

So the balls are in the ratio of

5*7 + 5 = 40

Solve the system of linear equations.

x-y=5
-x+y=5

Is the answer H, I, J, or K

H. infinitely many I. no solution J. (0,5) K. (5,0)

Answers

Answer:

I would be our answer.

Step-by-step explanation:

So we need to solve both.

x-y=5 = 5.

And we also need to solve -x+y=5.

Let's regroup them.

[tex]y-x=5[/tex]

Now we needt to subtract y from both sides.

[tex]-x = 5 -y[/tex]

Now let's multiply both sides by -1.

[tex]x = -5 + y[/tex]

Then we finally get

x = y - 5

Our final answer is I, there is no solution for this problem.  Yes, they both equal 5 but do not fit any of the answers.

Thanks for using Brainly, have an amazing day.

If Mike has m pencils and Jen has 3 more pencils than Mike, how many pencils do they have together?

Answers

Answer:

you have to find out what Mike has the multiple its by 3 ofc so let's say Mike had 4 they would have 12 together

“The height of an arrow” NEED HELP WITH THIS QUESTION ASAP!

Answers

Answer:

a) t = 0.54 seconds

b) t = 8 seconds

Step-by-step explanation:

Given in the question the equation

h = 40t - 5t²

where h is height in meters

            t is time in seconds

Time it took to reach 20 meters

20 = 40t - 5t²

-5t² + 40t - 20 = 0

by using quadratic formula for factorisation

t = (-b± √(b)² - 4(a)(c) ) / 2(a)

t = 0.54 (upward motion)

or

t = 7.46 (downward motion)

b) Time it took to reach the ground

at ground h = 0

So,

0 = 40t - 5t²

t(40 - 5t ) = 0

t = 0 (at starting point)

or

40 -5t = 0

5t = 40

t = 40 /5

t = 8 seconds

The side of a square measures 3mn2. What is the area of the square if m = 4 and n = -2?

Answers

The area of the square is 2304 square units.

How to calculate the area of the square from theinformation mentioned in the question ?

Given the side of the square measures [tex]3mn^{2}[/tex]

We have to find the area of the square when m = 4 and n = -2

Putting the value of m and n in the expression to get the value of side of the square -

Side = [tex]3mn^{2}[/tex] = [tex]3*4*(-2)^{2}[/tex] = [tex]48[/tex]

Thus the length side of the square is 48 units.

As the square has all of its 4 sides equal, thus the area of the square is = side*side .

Area of the given square = side*side = 48*48 = 2304 square units.

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How many times can 20 go into 16

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is that 20 goes into 16 1.25 times.

Explanation: You can use a calculator, and you just divide 20 by 16. Or, you can divide 20 and 16 both by 4. since you are dividing by four, and there are 5 fours in 20, you could know that 5*0.25 is 1.25, which is the answer. The fraction form is 1 1/4.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

20 cannot go into 16 a whole number of times, but in terms of decimal division, 20 goes into 16 exactly 0.8 times.

The question asks how many times 20 can go into 16. In mathematical terms, this is asking for the result of dividing 16 by 20. Since 20 is larger than 16, 20 cannot go into 16 a whole number of times. However, if we are considering division in terms of fractions or decimals, 20 goes into 16 exactly 0.8 times because 16 divided by 20 equals 0.8.

20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)

Answers

Answer:

The correct answer is C) 10z(x − 2y)

Step-by-step explanation:

To find this, we look for the greatest common factor of those two numbers. Each can be divided by 10 and each have a z. So we divide each term by 10z and put that on the outside of the parenthesis.

Please Help, thank you!

Which list is in order from largest to smallest?
A.
0.6 × 10-4 , 1.1 × 10-3 , 1.1 × 10-4
B.
1.1 × 10-3 , 1.1 × 10-4 , 0.6 × 10-4
C.
1.1 × 10-3 , 0.6 × 10-4 , 1.1 × 10-4
D.
0.6 × 10-4 , 1.1 × 10-4 , 1.1 × 10-3

Answers

A= 3.6, 7.7, 6.6

B= 7.7, 6.6, 3.6

C= 7.7, 3.6, 6.6

D= 3.6, 6.6, 7.7

.•. B is the answer

*if not done by BODMAS

A= 2, 8, 7

B= 8, 7, 2

C= 8, 2, 7

D= 2, 7, 8

.•. B is the answer

*if done by BODMAS

hope it helps you mate thanks for the question and if possible please mark it as brainliest

Coach told us we needed to complete more that 18 repetitions. What’s the inequality?

Answers

Answer:

x > 18

Step-by-step explanation:

If you need to complete more than 18 repetitions, you would use the greater than sign.

Karim builds a wooden table.

Answers

Substitute given values into the formula for the area of a rectangle.

3^7 = 3^4 x W

2187 = 81 x W

Solve for Width

W = 27

Your answer is: 27 Inches.

The bases of a trapezoid are 4 yards and 6 yards. The height of the trapezoid is 5 yards. What is the area of the trapezoid?

Answers

Final answer:

The area of a trapezoid with bases of 4 yards and 6 yards, and a height of 5 yards is calculated using the formula (1/2)*height*(sum of the bases). By substituting the given measurements, the area comes out to be 25 square yards.

Explanation:

The area of a trapezoid can be calculated using the formula: Area = ½×(height)×(sum of the bases). Given the measurements of a trapezoid with bases of 4 yards and 6 yards, and a height of 5 yards, we apply the formula:

Area = ½×(5 yards)×(4 yards + 6 yards)

First, sum the lengths of the bases:

4 yards + 6 yards = 10 yards

Then, substitute the sum of the bases and the height into the formula:

Area = ½×(5 yards)×(10 yards)

Area = ½×(50 yards²)

Area = 25 yards²

Therefore, the area of the trapezoid is 25 square yards.

Greta is making a patio

Answers

Answer:

Step-by-step explanation:

Can you give more information?

a circualr plate haa circumference 22.6 inches.What is the area if this plate? use 3.14​

Answers

40.7in^2

Circumference = 2pi*r

22.6 = 2*3.14*r

22.6 = 6.28*r

r = ~3.6

Using that we can find area

A = pi*r^2

A = 3.14*3.6^2

A = 3.14*12.96

A = 40.6944 which is ~40.7in^2

The area of the circular plate with a circumference of 22.6 inches is 40.69 in².

How to find the area of a circle?

The area of a circle can be found by using the formula given below:

Area = πr²

The area of the circle can be found as given below:

The circumference is given as 22.6. Therefore:

Circumference = 2πr

⇒ 22.6 inches = 2πr

⇒ 22.6 inches = 2*3.14*r

⇒ r = 22.6/(2*3.14) inches

⇒ r = 3.6 inches

We can use this r to find the area. The area of a circle is given by:

A = πr²

= 3.14*3.6*3.6 in²

= 40.69 in²

Therefore we have found the area of the circular plate with a circumference of 22.6 inches to be 40.69 in².

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There are 20 tables in the cafeteria. 1/5 of them are rectangle shaped. How many tables are rectangle shaped?

Answers

4 because 4x5=20 and 20 divided by 5 is 4

Answer:

4

20 ÷1/5= 4

So four tables

A pie is cut into 9 equal pieces. If all but 3 pieces are eaten, how of the pie remains?

Answers

Answer:

1/3 or 3

Step-by-step explanation:

9-6 = 3

Answer:

Step-by-step explanation:

5(x + 3) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
5x + 3

(5 + x) + 3

5x + 15

(x + 3) ⋅ 5

Answers

Answer:

5X+15

Step-by-step explanation:

you just have to multiply 5 and X and also multiply 3 by 5.

Answer:

[tex]\boxed{\bold{5x+15}}[/tex]

Step-by-step explanation:

Distributive Property: [tex]\bold{a(b+c)=(a*b)+(a*c)}[/tex]

Write An Equation:

(5 * x) + (5 * 3)

Solve:

5 * x = 5x

5 * 3 = 15

Rewrite Equation

5x + 15

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