(50 Points)
Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9?
x + 2y = 21

Answers

Answer 1
x + 2y = 21
3 + 2(9) = 21
3 + 18 = 21
So I think the equation is 3 + 2(9) = 21
Answer 2

Answer:

It's option C.

Step-by-step explanation:

It's right on edmentum. Also just use substitution. Not that hard.


Related Questions

Two friends shop for fresh fruit. Jackson buys a watermelon for ​$6.85 and 5 pounds of cherries. Tim buys a pineapple for ​$3.35 and 4 pounds of cherries. Use the variable p to represent the​ price, in​ dollars, per pound of cherries. Write and simplify an expression to represent how much more spent.

Answers

Answer:

3.5 + p

Step-by-step explanation:

Jackson:

Watermelon = $6.85

Cherries = 5p

Total spent = 6.85 + 5p

Tim:

Pineapple = $3.35

Cherries = 4p

Total = 3.35 + 4p

Where,

P = price per pound of Cherries

how much more spent?

Jackson's total spent - Tim's total spent

= 6.85 + 5p - (3.35 + 4p)

= 6.85 + 5p - 3.35 - 4p

= 3.5 + p

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:

Answers

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time

Step-by-step explanation:

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.

Their rates is calculated as:

For Lin

Lin read the first 54 pages from a 270-page book in the first 3 days.

54 pages = 3 days

270 pages = x

Cross Multiply

54x = 270 × 3

x = 270 × 3/54

x = 15 days

For Diego

Diego read the first 100 pages from a 320-page book in the first 4 days.

100 pages = 4 days

320 pages = x days

Cross Multiply

100x = 320 × 4

x = 320 × 4/100

x = 12.8 days

For Elena

Elena read the first 160 pages from a 480-page book in the first 5 days.

160 pages = 5 days

480 pages = x days

Cross Multiply

160x = 480 × 5

x = 480 × 5/160

x = 15 days

If they continue to read every day at these rates, who will finish first, second, and third?

Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time

Solve for x: 3 - (2x - 5) <-4(x + 2)

Answers

Answer:

x < -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - (2x - 5) < -4(x + 2)

Step 2: Solve for x

Distribute:                         3 - 2x + 5 < -4x - 8Combine like terms:         -2x + 8 < -4x - 8Add 4x on both sides:     2x + 8 < -8Isolate x term:                  2x < -16Isolate x:                           x < -8

Here we see that any value x smaller than -8 would work as a solution in the inequality.

Please answer A.S.A.P.!!!!

Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:

50 50; Malcolm needs to consume less than 20 grams of carbohydrates or more than 50 grams of carbohydrates.

B) x > 20 and x 30 and x 60; Malcolm needs to consume less than 30 grams of carbohydrates or more than 60 grams of carbohydrates.

Answers

Answer:

x > 20 and x < 50; Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.

Step-by-step explanation:

HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent

1. from 60 to 48

2. from 180 to 108

3. from 64 to 24

4. from 6.5 to 4.8

5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.

Answers

Answer:

Hey, ill do like 2 and you can do the rest

percent decrease or change is

new-old over old

So like #1

1) 60 is old, 48 is new

so 48-60=-12

now over old which is 60

-12/60

-1/5

20 percent decrease

2) 180 is old, 108 is new

108-180=-72

-72/180

40 percent decrease

Step-by-step explanation:

[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]

Answers

The pictures are blurry I can’t see anything

100 POINTS PLEASE HELP!!!!
Problem-solving Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket.​

Answers

Answer:

Apply the problem-solving method to solve problems involving tickets with ... How many student tickets and how many adult tickets were sold? ... Step 4. Translate: Write the equation by adding the total values of each type of ticket. ... We find the total value of each type of ticket by multiplying the number of tickets times its ...

Step-by-step explanation:

Ticket Problems: algebra word problems involving tickets, how to solve ticket word ... for distinguishing between quantity and value in this type of word problems. ... The cost of tickets for a play is $3.00 for adults and $2.00 for children . ... Use Substitution Method ... A child's ticket costs $6.00 and an adult's ticket costs $10.00.

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

It would be the 2nd one because 15+27=42 and that is less than 44 which should be more

Step-by-step explanation:

Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 and has earned $26. How many apples does she need to sell to reach her goal?

Answers

Answer:

7 apples

Step-by-step explanation:

40 - 26 = 14

14 / 2 = 7

Someone please Help??

Answers

35/3 SORRY IF IM WRONG

8 - 10 is the same as


A. -8 + -10


B. 8 + (-10)


C. -8 + 10


D. 8 + 10

Answers

B. 8+(-10)


Explanation:

8-10 is -2
If you try all the answers, 8+-10=-2

please help me like i really don't understand this and i really need help​

Answers

Answer:

Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.

A'(-5, -2.5)B'(2.5, 5)C'(5, -10)

Step-by-step explanation:

Given the vertices of ΔABC

A(-2, -1)B(1, 2)C(2, -4)

Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).

We know that when the scale factor > 1, then the image is enlarged.

The formula to determine the dilation with a scale factor of 2.5.

P(x, y) → P'(2.5x, 2.5y)

Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.

In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.

Thus,

P(x, y) → P'(2.5x, 2.5y)

A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)

B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)

C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)

Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.

A'(-5, -2.5)B'(2.5, 5)C'(5, -10)

Help pls I’m getting timed

Which algebraic expression represents "a number divided by nine"?
9 + a

9/a a/9

Answers

Answer:

a/9

Step-by-step explanation:

one bucket of gravel has a mass of 7.05 kg. what is the mass of 20 buckets of gravel in kilograms?

Answers

The weight of 20 buckets is 141 Kg.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

weight of 1 bucket of gravel = 7.05

weight of 20 buckets = 7.05 x 20

                                    = 141 Kg

Hence, the weight of 20 buckets is 141 Kg.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ1

Mrs. Malone has $75 to buy volleyball for lincoln Middle School. How many can she buy at $9 each?​

Answers

Answer:

8porque9x8da72

Step-by-step explanation:

     a

Answer:

Step-by-step explanation:

To find the number of volleyballs she can buy all you have to do is divide 75 by 9 which gives you 8.3333333 So she can buy approximately 8 volleyballs with 3 dollars to spare. You could also just multiply 9 by 8 to check your answer wich gives you 72 dollars

Me and my daughter are having a disagreement on this question, I would appreciate the help.

Answers

Answer:

(4t - 8/5) - (3 - 4/3t) = 16/3t - 23/5

5(2t + 1) + (-7t + 28)= 3t+33

(-9/2t +3) + (7/4t + 33) = -11/4c+56

3 (3t-4) - (2t + 10)= 7t -22

Sooo Sorry that it took soooo long! Hope this helps!!!

Happy holidays!!

please please help i’ll give brainliest tysm:))

Answers

66 feet because the actual calculation is 65.6

Have a good one!

the answer for:
Consider the quadratic equation x^2 - 6x - 16 = 0.
A. Solve the equation, and discuss how the type of roots affects the appearance of the graph of the function y = x^2 - 6x - 16.
B. What is the vertex of the graph of x^2 - 6x - 16 = 0?
C. What is the equation of the axis of symmetry?
D. Use this information to draw a rough sketch of the graph of the function.

Answers

Answer:

A. Solution=(x-8)(x+2),Zeros are 8,-2

The integer coefficient of x² is >1 and so the graph which is a parabola,curves downward and opens upward

B. The vertex or turning point is the minimum point =-b/2a=-(-6)/2(1)=3

f(3)=(3)²-6(3)-16=-25

the vertex occurs at y=-25

C. Equation of the axis of symmetry =-b/2a

which is x=3

find the slope from the graph. (3,-1) (0,-3)

Answers

I found the slope for these numbers

Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.

Answers

Answer:

a. 7

b 8

c 9

d 10

e 10

f 44

Step-by-step explanation:

solve for "x" : 2x + 3x + 4x =36​

Answers

Answer:

4

Step-by-step explanation:

2x + 3x + 4x = 36

Evaluate like terms.

9x = 36

Find x.

x = 36 ÷ 9

x = 4

Answer:

b) 4

Step-by-step explanation:

2x+3x+4x=36

=5x+4x=36

=9x=36

x=36/9

x=4

Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.

(Note: use whole numbers only, do not type the degree
symbol or the word)

Answers

Answer:

x = 13

y = 7

Step-by-step explanation:

✔️Recall that sum of the interior angles of a ∆ = 180°

Therefore:

(3x - 3) + (4x + 20) + (7x - 19) = 180° (sum of ∆)

Solve for x

3x - 3 + 4x + 20 + 7x - 19 = 180

14x - 2 = 180

Add 2 to both sides

14x = 182

Divide both sides by 14

✅x = 13

✔️Recall also that an isosceles has two equal sides, therefore:

8y - 7 = 5x - 16

Plug in the value of x

8y - 7 = 5(13) - 16

8y - 7 = 65 - 16

8y - 7 = 49

Add 7 to both sides

8y = 56

Divide both sides by 8

✍️y = 7

PLEASE HELPP!! (10 points)

Answers

Answer:

D.0.58

Step-by-step explanation:

Answer:

The answer is the 4th option: 0.58

Step-by-step explanation:

Absolute value is how far away that number is from the numberline.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?

Answers

Answer:

70

Step-by-step explanation:

It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70

Hope this helped!

Solve and Graph: 12 – ⅔ x > 6

Answers

Answer:

There's the graph

But the answer is x<9

X is all values below 9.

what is the monomial if a square of a monomial is 1/4a^2n

Answers

Answer:

Answer:

Answer:

1/2a^n

Step-by-step explanation:

Square of the monomial is  

To get the monomial we take square root

Lets take square root for each term

because square root of 4 is 2

2/2 is 1 so, its a^n

Required monomial is  

1/2a^n

Step-by-step explanation:

Answer:

(1/2a^n)^2

Step-by-step explanation:

Find the distance between 5 + 4i and 9 + 3i.​

Answers

Answer:

Distance = √17

Step-by-step explanation:

We are looking for the distance between 5 + 4i and 9 + 3i.

This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)

Distance between the 2 points will be;

D = √[(5 - 9)² + (4 - 3)²]

D = √(16 + 1)

D = √17

Help me pls ASAP thank you

Answers

Answer:

3rd option

Step-by-step explanation:

The input(x) does not repeat

What is the graph of y = 3jx|?
Ο Α.
5
>

Answers

Note: Your question sounds a little unclear and incomplete. I assume you want to get the idea about the graph of 3|x|. My answer may still clear your concept about the graphs.

Answer:

The graph of y=3|x| is attached below.

Step-by-step explanation:

Given the function

[tex]y=3\left|x\right|[/tex]

Determining the domain:

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

The function has no undefined points nor domain constraints. Therefore, the domain is:

[tex]-\infty \:<x<\infty \:[/tex]

Determining the range:

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

[tex]\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]

[tex]k=0[/tex]

[tex]f\left(x\right)\ge \:0[/tex]

Thus,

[tex]\mathrm{Range\:of\:}3\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Determining the x-intercept and y-intercept:

From the graph, it is clear that at x=0, y=0. Therefore, the y-intercept is (0, 0)From the graph, it is clear that at y=0, x=0. Therefore, the y-intercept is (0, 0)

The graph of y=3|x| is attached below.

The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*

Answers

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

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