Patio sets consisting of couches, umbrellas, and a firepit table are sold at a local furniture store, A set with 2 couches, an umbrella and a table are sold for $1875. A set with one couch and a table are sold for $1075. A set with 2 couches and an umbrella are sold for $1275What is the price of the table?

Answers

Answer 1

Answer:

[tex]T = 600[/tex]

Step-by-step explanation:

Represent the table with T, couch with C an umbrella with U

We have the following:

[tex]2C + U + T = 1875[/tex]

[tex]C + T = 1075[/tex]

[tex]2C + U = 1275[/tex]

Required

Determine the cost of a table

Make T [tex]the\ subject\[/tex] [tex]in\ the[/tex] first equation

[tex]T = 1875 - (2C + U)[/tex]

In the third equation, we have that: [tex]2C + U = 1275[/tex]

By substituting 1275 for 2C + U

[tex]T = 1875 - (2C + U)[/tex] becomes

[tex]T = 1875 - 1275[/tex]

[tex]T = 600[/tex]

Hence, a table costs $600


Related Questions

which table of values matches the equation y=2x-3

Answers

Answer:

What are the possible answer??/

Step-by-step explanation:

The set of points satisfying the equation y = 2x - 3 is a. {(0, -3), (1, -1), (1.5, 0), (2,1)}.

An equation is the combination of 2 or more expressions separated by the equality sign(=), signifying the equality of expressions.

To obtain the set of points satisfying the equation y = 2x - 3.

The given equation is y = 2x - 3.

Let's take x = 0,

y = 2 × 0 - 3 = -3,

the point is (0, -3).

Let's take y = 0,

0 = 2x - 3

2x = 3

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

x = 1.5,

the point is (1.5, 0).

Let's take x = 1,

y = 2 × 1 - 3 = -1,

the point is (1, -1).

Let's take y = 1,

1 = 2x - 3

2x = 1 + 3

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2,

the point is (2,1).

Hence, the set of points satisfying the equation is {(0, -3), (1, -1), (1.5, 0), (2,1)}.

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The complete question is as follows:

Which table of values matches the equation y = 2x - 3,

a. {(0, -3), (1.5, 0), (1, -1), (2,1)}.

b. {(0, -2), (1.5, 0), (1, -1), (2,1)}.

c. {(0, -3), (1.5, 0), (1, -4), (2,1)}.

d. {(-1,1), (0, -3), (1.5, 0), (1, -1)}.

The slope of a line is 1/2 and it passes through the point (4,−7)

. Which of the following is the equation of the line?
Select one:
A) y=1/2x+9

B) y=1/2x+4

C) y=1/2x−7

D) y=1/2x−9

Answers

Answer:

Step-by-step explanation:

its the last one heres a graph of it

i hope it helps :)

Help it’s due soon all help is appreciated

Answers

i have no clue sorry maybe ask the teacher for help!

Which graph shows the points (−11
2
, 1
2
) and (1.5, −0.5) plotted correctly?

On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down.
On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.

Answers

Answer:

b

Step-by-step explanation: got it right on edge

Answer:

B

Step-by-step explanation:

got it right on edge

All ratios equivalent to 24:12

Answers

Answer:

There are so many:

2:1

4:2

6:3

A tape diagram. There are 35 6th graders with an older sibling out of 100 6th graders. There are question mark 6th graders with an older sibling out of 300 6th graders. StartFraction part Over whole EndFraction = StartFraction 35 times 3 Over 100 times 3 EndFraction = StartFraction question mark Over 300 EndFraction Graph If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve this problem, we can write an equivalent ratio as the percent and then create the percent . 6th graders have an older brother or sister.

Answers

Answer:

35 a

Step-by-step explanation:

ada

Answer:

1. Percent 2. Ratio 3. Ratio 4. 105

Step-by-step explanation:

I just did it

Write the value of the 4. 6.54

Answers

Answer:

Hundredths place

Step-by-step explanation:

6 in 6.54 is ones place

5 in 6.54 is tenths place

4 in 6.54 is hundredths

plz mark me brainliest

find the slope and y-intercept of the line in the graph. Express the answers as simplified fractions, if necessary.

Answers

Answer:

y=1 3/5x+-5

Step-by-step explanation:

So the y intercept is where your slope meets the middle, basically the y. So it hit the y on -5. And the rise and run 8/5 rise is 8 and run is 5. 8/5= 1 3/5. in equation it is y=1 3/5x+-5.

find slope of the line that passes through the point (-9,7) and (9,-3)

Answers

Answer:

Step-by-step explanation:

(x₁, y₁)  = (-9, 7)    & (x₂ , y₂) = (9 , -3)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{-3-7}{9-[-9]}\\\\= \frac{-3-7}{9+9}\\\\=\frac{-10}{18}\\\\= \frac{-5}{9}[/tex]

Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500.If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is​

Answers

Answer:

20x + 45y = 9500 is the linear equation for given scenario

Step-by-step explanation:

Given that Eve makes $20 for each 5K participant and $45 for each 10K participant

Cost of each 5k participant = $ 20

Cost of each 10k participant = $ 45

Her goal is to raise $9,500

Let "x" represents the number of participants in the 5K race

Let "y" represents the number of participants in the 10K race

To find: linear equation for given scenario

The standard form for linear equations in two variables is Ax + By = C

Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500

From the above statement, we can frame a equation as:

number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500

20x + 45y = 9500

Therefore, the linear equation for given scenario is found

Answer:

20x + 45y = 9500

yes/no: no

Solution:

Given that Eve makes $20 for each 5K participant and $45 for each 10K participant

Cost of each 5k participant = $ 20

Cost of each 10k participant = $ 45

Her goal is to raise $9,500

Let "x" represents the number of participants in the 5K race

Let "y" represents the number of participants in the 10K race

To find: linear equation for given scenario

The standard form for linear equations in two variables is Ax + By = C

Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500

From the above statement, we can frame a equation as:

number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500

20x + 45y = 9500

If eve raises exactly $9,500, it is NOT possible for there to be 220 participants in the 5K race.

given cot A= 40/9 and that angle A is in quadrant 1 find the exact value of sec A in the simplest radical form using a rational denominator

Answers

Answer:

41/40

Step-by-step explanation:

Given cotA = 40/9

1/tanA = 40/9

tanA = 9/40

According to SOH, CAH, TOA

tan A = 9/40 = opposite/adjacent

Get the hypotenuse

hyp² = opp²+adj²

hyp² = 9²+40²

hyp² = 81+1600

hyp² = 1681

hyp = √1681

hyp = 41

Het sec A

sec A = 1/cosA

Since cos A = adjacent/hypotenuse

cos A = 40/41

secA = 1/(40/41)

SecA = 41/40

Hence the exact value of secA is 41/40

At the beginning of last year,there were 368 students at the elementary school.By the beginning of this year,72 of those students have moved to other school districts and 64 new students arrived. about how many students started the school year this year

Answers

Answer:

360 students

Step-by-step explanation:

We start off with 368.

Then 72 leave the school, so subtract 72 from our total.

368 - 72 = 296

But, then 64 new students join, so add this to our new total.

296 + 64 = 360.

Ask any questions you have in the comments, and if this helps, maybe consider giving a Brainliest :P

Find the slop line that passes through each pair of points (-6,1),(4,8)

Answers

Answer:

0.7

Step-by-step explanation:

between two points
context
(Application 4)
An archaeological dig is marked with a rectangular grid where each square is 4 feet on a side. An important artifact is discovered
at the point corresponding to (-45, 20) on the grid. How far is this from the control tent, which is at the point (5, 40)? Round to
the nearest tenth of a foot.
The distance between the artifact and the control tent, to the nearest tenth of a foot, is
approximately feet.

Answers

7y-5x= 2xy your welcome

00:00
Select all the values of p that are solutions for this inequality
10p - 8 >12
A. -1
B. 0
C. 1
D. 2
E. 3

Answers

Answer:

The answer is D. and E.

Step-by-step explanation:

The answer is D and E because 10 multiplied by 2 is 20 and 20 is bigger then 12 and 10 times 3 is 30 which is also bigger than 12.

P.S Can I have brainliest?

From the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

10p - 8 >12

10p > 12 + 8

10p > 20

p > 2

p ∈ (2, ∞)

Thus, from the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.

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Which of the following equations are written in standard form?

А. 3x + 5y = -7

B. 2y + x = 12

C. 5x+10y = -21

D. 1.2x + 5y = 23.7
PLEASE HELP ME ASAP

Answers

Answers A, C, and D are written in standard form.

Answer B is NOT written correctly in standard form.

What is the y-intercept of y = 3 – 4x? Choose 1 answer: (-4,0) (3.0) (0.-4) (0.3)​

Answers

Answer:

it is (3.0)

Step-by-step explanation:

because the 3 is the second number without an variable

A student's parents offer him one of two options to receive scholarship money for college.

Option A: Deposit $17,000.00 into his savings account and then add an additional $1,250.00 each day for 30 days

or

Option B: Deposit $0.50 into his savings account and then triple that amount each day for only 10 days

When rounded to the nearest cent, how much money is deposited into his savings account on the last day (day 30) for Option A, and how much is deposited into his savings account on the last day (day 10) for Option B? If the student keeps only what is deposited on the last day, which option should he choose?


Option A Versus Option B
Option A Option B
Day Amount Deposited Day Amount Deposited
0 $17,000.00 0 $0.50
1 $18,250.00 1 $1.50
2 $19,500.00 2 $4.50
A = $142,845.76, B = $29,524.50; B, because he receives $113,321.26 more
A = $54,500.00, B = $10.50; A, because he receives $54,489.50 more
A = $37,500.00, B = $59,049.00; B, because he receives $21,549.00 more
A = $54,500.00, B = $29,524.50; A, because he receives $24,975.50 more

Answers

Answer:

option a

Step-by-step explanation:

it is because $17,000.00 will make you have more money and have better things to do in the nearest future

The amount received by student in option A and B are A = $54,500.00, B = $29,524.50, Option A is better because student receives $24,975.50 more.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

(A)

Given that,

Amount deposit by student in starting = $17,000

Also, student add $1250 each day for 30 days,

Amount added in 30 days = 1250 x 30 = $37500

Total amount in account = 17000 + 37500 = 54500

The final amount in account is $54500.

(B)

Amount deposited into saving account = $0.50

Also, student triple that amount for 10 days,

Amount in account in 10 days = 0.50 x 3¹⁰ = 29524.5

Option A is a better deal because the student receives $24,975.50 more.

                                                 

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plz help me 25y−4+7−910y =

Answers

Answer:

-885y+3

Step-by-step explanation:

Yes i agree i also got -885y+3

X2 + 13x + 36 trinomial

Answers

(x+9) & (x+4) is the answer

Answer:

x × 2 + 468

2 (x + 234)

I guess this is it

what the missing value of -4x-y=24

Answers

Answer:

6

Step-by-step explanation:

24/-4

Answer:

its is 6

Step-by-step explanation:

Evaluate 36 = (x+9) when x = 3.
O A. 3
O B. 12
O C. 21
O D. 4

Answers

I think it’s A.) 3
36=(x+9) x=3 ( substitute)
36=(3+9) add
36=(12) multiply
36\12 = 3

Misty determined that she gets 64 miles per 2 gallons of gas from her car as she drives from her house to the ski slope. Create a ratio that describes Misty's situation.

Answers

Answer:

For every 64 miles, she uses 2 gallons of gas. So the answer can be 64:2 or 31:1

Step-by-step explanation:

There are 5,375 pencils in 25 cases. Find the unit rate. pls

Answers

Answer:

5,375/25= 215 pencils per case

Step-by-step explanation:

Answer: 215 Pencils are in each case

Step-by-step explanation:

5,375/25 equals the unit rate

how to take pictures?

Answers

You go to the scan and tap that and then take a photo of the question you have and then press use photo then you have your answers that should show up

Answer:

when you first go on to brainly it should say scan if you are on a chrome book it doesn't work

Step-by-step explanation:

5/8 ÷ 3/8 help plz thanks​

Answers

Answer:

1.66666666667

Step-by-step explanation:

ask nicely and I'll give you what you want

Answers

Answer:

The expressions that are equivalent to that includes:

[tex]▪ \: 3c + \frac{4}{5} + \frac{1}{2} \\ ▪ \: \frac{4}{5} + \frac{1}{2} + 3c \\ ▪ \: \frac{1}{2} + \frac{4}{5} + 3c[/tex]

Answer:

1, 3, and 5 they all equal to (3c+13/10) which was the answer for the question

Step-by-step explanation:

to find out which is equivalent  solve fraction and  solve the others to see which one is similiar.  

Choose the equation that represents the line that passes through the point (-1, 6) and has a slope of -3.
y=-3x + 3
y=-3x - 6
y = 3x - 3
y = 3x - 1

Answers

Answer:

Equation of line is [tex]\mathbf{y=-3x+3}[/tex]

Option A is correct.

Step-by-step explanation:

We need to write an equation that represents the line that passes through the point (-1, 6) and has a slope of -3.

The equation will be of slope-intercept form: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept

We are given slope m =-3, we need to find y-intercept b

Finding y-intercept

using slope m=-3 and point (-1, 6)

[tex]y=mx+b\\6=-3(-1)+b\\6=3+b\\b=6-3\\b=3[/tex]

So, y-intercept b is 3

Now the equation of line having slope m= -3 and y-intercept b = 3 is

[tex]y=mx+b\\y=-3x+3[/tex]

Equation of line is [tex]\mathbf{y=-3x+3}[/tex]

Option A is correct.

Answer:

a or the first one

Step-by-step explanation:

y=-3x+3

Find the following area of this trapezoid.​

Answers

Answer:

its c 98

Step-by-step explanation:

multiply hight by width so 14x7 and thats 98 but idrk

PLEASE HELP ASAP!!
A
B
C
D

Answers

Answer:

I think its B

Step-by-step explanation:

I'm not if you mean y = 3 or y = 3 times x -w-"

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