Algebra...George bought 2 identical couches and 3 identical chairs. A couch cost twice as much as a chair. He spent $270 more on th ecouches than on the chairs. How much did he spend altogether

Answers

Answer 1

Answer:

$1890

Step-by-step explanation:

x= couches

y=chair.

x=2y

2x=3y+270

2(2y) or 4y=3y+270

y=270

x=540

2(540)+3(270)=1890.

Hope this helps :D

Answer 2

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total spending is $1890

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

George bought 2 identical couches and 3 identical chairs.

A couch costs twice as much as a chair.

Let the cost of one couch = 2x

Let the cost of one chair = x

Now,

He spent $270 more on the couches than on the chairs.

This means that,

2(2x) = 270 + 3x

4x = 270 + 3x

Subtract x on both sides.

x = 270

The total spending.

= 4x + 3x

= 4 x 270 + 3 x 270

= 1080 + 810

= $1890

Thus,

The total spending is $1890

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Related Questions

On a scavenger hunt, you find 19 out of 20 objects. Write "19 out of 20" as a fraction, a decimal, and a percent

Answers

Fraction: 19/20

Decimal: 0.95

Percent: 95%

N EED ANSWER NOW ON TIMER PLASERA

Answers

Answer:

17/190

Step-by-step explanation:

Its correct

Answer:

D

Step-by-step explanation:

1 x 17 = 17

10 x 18=180

so it's 17/180

What is the approximate circumference of the circle shown below

Answers

Answer: A) 46.5 cm

Step-by-step explanation:

Circumference = 2 π r or Circumference = π d

In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.

π ≈ 3.14.

We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.

C = π d

= (3.14)(14.8)

= 46.47 cm, which rounds to 46.5 cm

The same price of every item in a store is 85% of it usual price. ( please explain your answer because I don’t understand how to solve this)

The usual price of a backpack is $30, what is its sale price?

Answers

85% is 0.85 decimals
85 percent of 30
30 * 0.85 = 25.50
30-25.50 = 4.50
Solution: after sale, it is $4.50

What is the slope of the line through (-5,10) and (1,24(

Answers

Answer:7/3

Step-by-step explanation:

i went on a website and got the answer

3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M.
Which angles form a linear pair?

AnglePRL and AngleLRM
AngleORP and AngleMRN
AngleMRN and AngleNRO
AngleLRP and AngleORP

Answers

Answer:

The answer is C

Step-by-step explanation:

This is right because that's what I did

From the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO

What is a Linear Pair?A linear pair is a set of two adjacent angles whose sum equals 180°.Linear pair are also angles that form a straight line when combined together.

The 3 lines are shown in the image attached below.

In the diagram, there are two linear pairs that are formed, they are:

m∠MRN and m∠NROm∠PRO and m∠NRO

Therefore, from the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO

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Answer these questions please :)
1. 7.2 x 100 =
2. 468.8 ÷ 100 =
3. 0.12 x 1,000 =
4. 86.4 ÷ 100 =
5. 2.001 x 10 =
6. 1,200 ÷ 1,000 =
7. 3.41 x 100 =
8. 3.41 ÷ 10 =
9. 0.0031 x 100 =
10. 5.7 ÷ 100 =
11. 1.34 x 1,000 =
12. 10 x 0.57 =
13. 57 ÷ 100 =
14. 1.068 x 100 =
15. 168.1 ÷ 10 =
16. 0.0341 x 100 =

Answers

1. 7.2 x 100 =  720

2. 468.8 ÷ 100 =  4.688

3. 0.12 x 1,000 =  120

4. 86.4 ÷ 100 =  0.864

5. 2.001 x 10 =  20.01

6. 1,200 ÷ 1,000 =  1.2

7. 3.41 x 100 =  341

8. 3.41 ÷ 10 =  0.341

9. 0.0031 x 100 =  0.31

10. 5.7 ÷ 100 =  0.057

11. 1.34 x 1,000 =  1340

12. 10 x 0.57 =  5.7

13. 57 ÷ 100 =  0.57

14. 1.068 x 100 =  106.8

15. 168.1 ÷ 10 =  16.81

16. 0.0341 x 100 = 3.41

Using long division to solve this SHOWING WORK: (-10n-26n^2+n^4-25) / (n+5)

Answers

Sorry if it’s a little messy. Hope this helps!

please simply the equation:- -p - 11 + 3

Answers

Answer:

11+p-3 or 3+p-11

Step-by-step explanation:

depending if the p is negative or positive

Twice the sum of x and 3 is decreased by 13

Answers

Given:

Twice the sum of x and 3 is decreased by 13.

To find:

The expression for the given statement.

Solution:

The sum of x and 3 is (x+3).

Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)

Negative sign is used of decrease.

Decreased by 13 is represented by -13.

Using these representation, we get

Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]

Therefore, the required expression is [tex]2(x+3)-13[/tex].

Annapurna suppliers sold construction materials at Rs. 497200 to Sagarmatha suppliers
making 10% profit and adding 13% VAT. Find the cost price of the Annapurna suppliers.
Sagarmatha suppliers spent Rs 10000 for transportation cost and made Rs. 30000 profit and
levied local tax Rs. 20000 and sold to constructor. Find the additional VAT applicable amount
and the final price with VAT​

Answers

Step-by-step explanation:

annapurna suppliers to sagarmatha suppliers ,

SP = (100+10)%of 497200

=110/100 * 497200

SP = RS. 546920

VAT 1 = 13% OF 546920

= RS. 71099.6

SAGARMATHA SUPPLIERS TO CONSTRUCTOR,

CP=RS.546920

TC=RS.10000

PROFIT =RS. 30000

LT =RS. 20000

SP = RS. 60000

VAT=13%

VAT 2 = 13% OF 60000

= RS. 7800

final price with VAT = 7800+ 546920+71099.6

=RS. 625819.6

Final cost is 36463.6 and VAT end profit is 3646.36.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given

Material cost = 497200

10% profit = [tex]\frac{10}{100}[/tex] × 497200

= 49720

13% VAT = [tex]\frac{13}{100}[/tex] × 49720

= 6463.6

Hence, Final cost  = 6463.6 + 10000 + 20000

= 36463.6

VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6

= 3646.36

Hence, Final cost is 36463.6 and VAT end profit is 3646.36.

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What is the answer? ​

Answers

Answer:

B is the answer

B is the answer bro



Thanks. Hope it will help

Samantha plays on the softball team for her school she strikes out twice after nine times she is at bat if she struck out 14 times this season how many times has she got back

Answers

Answer:

she got back 63 times

Step-by-step explanation:

Here, we want to know the number of times she is at bat

from the question, we are made to know that she strikes out twice after 9 times

So striking out 14 times, the number of times she has got back will be ;

14/2 * 9 = 63 times

which equation represents the graph below

y= x/35
y=35x
y=x-35
y=x+35

Answers

Answer:

B: y=35x

Step-by-step explanation:

You can verify this by plugging 1 to be x (35*1=35) and 2 (35*2=70)

For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week

Answers

Step-by-step explanation:

Given that,

For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.

For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.

We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.

In July, total distance is ,

[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]

In June, total distance is :

[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]

Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.

Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)

Answers

Answer:

Answer is D

Step-by-step explanation:

On Edge 2020

HELP ASAP EXPLAIN hellooo

Answers

I think it will be none of the above

please help me on this!!

Answers

Answer:

(a). Music and dance.

(b). Three students.

(c). Hong, Ryan, Lena and Mai

Step-by-step explanation:

a) Hong is not a member of i. music and Dance

b) 2 students which is Eric and Omar

c). Mai , Hong,Ryan and lena

which one is greater 14.09 or 14.090

Answers

Answer: They are the same or equal to each other.

Step-by-step explanation:

Hope this helps.

After 12 years, a deposit of $10,000 into your college account has earned $6,000 in interest payments. What simple interest rate did the account earn

Answers

Answer:

5%

Step-by-step explanation:

I = PRT/100  where I = interest, P = initial deposit, R = the rate in %, T = number of years.

So substituting the given values:

6000 = 10000*R* 12/100

10000*12*R =  100*6000

R =  100*6000 / (10000 * 12)

R = 600000/120000

= 5%

The summer camps had a field trip from the campus to the fragrance house they traveled on average speed of 65 km in the first two hours after that they travel another average speed of 70 km is a distance between the campus and fragrance I was 364 km what was the total time for a field trip

Answers

Answer: 5.34 hours

Step-by-step explanation:

They traveled at an average speed of 65 km/h in the first 2 hours so the distance traveled was ;

= 65 * 2

= 130 km

The distance left was;

= 364 - 130

= 234 km

They travel at 70km per hour so time taken was;

= 234/70

= 3.34 hours

Total time = 2 + 3.34

= 5.34 hours


What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

[tex]\displaystyle m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 40)

Point (20, 50)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{50-40}{20-0}[/tex]Subtract:                              [tex]\displaystyle m=\frac{10}{20}[/tex]Simplify:                               [tex]\displaystyle m=\frac{1}{2}[/tex]

Which events are independent?

Select each correct answer.



One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.

Answers

Answer:

A six sided number cube is rolled and a coin is flipped

Step-by-step explanation:

These are two different objects that have 0 correlation with eachother

Help me pleaseeeeeeeeeeeee

Answers

Answer:

i think the first one

Step-by-step explanation:

Answer:

A. 2x2y +7xy2

Step-by-step explanation:

What is a fraction equivalent to -6/1

Answers

Answer:

-18/3

Step-by-step explanation:

Multiply the denominator and numerator by the same whole number.

What the user above me said that sounds about right hopefully good luck!

explanation:

What’s the equation that represents the number of notebooks???plzzzzz

Answers

Answer:

The bottom choice.  0.29p + 1.59 = 5.07

Step-by-step explanation:

He only bought one notebook, therefore there doesn't need a variable assigned to it.

Pens need a variable because he buys more than one.

help please

Determine whether the triangles are congruent. If​ so, name the postulate or theorem that justifies your answer. If​ not, explain.

Are the triangles congruent or not​ congruent? If they​ are, identify by what postulate or theorem.
A.The triangles are congruent by the AAS Postulate.
B. The triangles are congruent by the SSS Postulate.
C. The triangle are not necessarily congruent. Not enough information is provided.
D. The triangles are congruent by the SAS Postulate.

Answers

The answer is D. The triangles are congruent by SAS Postulate

The triangles are congruent by the SAS Postulate.

What are congruent triangles?

A closed polygon made of three line portions shaping three points is known as a Triangle.

If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.

Given triangles

ΔUTS and  ΔRTS

which shows

UT and RS are parallel

and TS is common side

so ∠UTS = ∠RST

by  UT ║ RS (side)

∠UTS = ∠RST (angle)

TS = TS (common side)

ΔUTS ≅  ΔRTS

by SAS postulate

Hence Triangles are congruent.

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Element X decays radioactively with a half life of 13 minutes. If there are 830 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 20 grams?

Answers

Answer:

26.92 min

if I'm not wrong!

What is cos theta when sin theta = sqrt 2/3

Answers

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

[tex]\red{\implies sin\theta = \dfrac{\sqrt2}{3}} [/tex]

And , we know the identity of sine and cosine as ,

[tex]\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }[/tex]

Using , this identity we have ;

[tex]\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}[/tex]

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

[tex]\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}[/tex]

Plz and quick!
I rly rly need this

Answers

Step-by-step explanation:

20x² = y - 24

y = 20x² + 24

For y to have the least possible value, x² have to be the least possible, which is 0.

Since -3 <= x <= 2 includes x = 0, this is allowed.

Hence least possible value of y

= 20(0)² + 24 = 24.

Answer:

24

Step-by-step explanation:

-3---> 20(-3)^2=y-24 ----> y=204

-2---> 20(-2)^2=y-24 ----> y=104

-1---> 20(-1)^2=y-24 ----> y=44

0---> 20(0)=y-24 ----> y=24

1---> 20(1)^2=y-24 ----> y=44

2---> 20(2)^2=y-24 ----> y=104

Other Questions
Imagine that youve been working with the CSI and Police Department in your local area as lead forensic scientist for quite a few years now. The department has recently put a young, brand new forensic scientist to work on a case with you, so they can better learn the ropes from a seasoned vet like yourself! The two of you are on your way to investigate a crime scene where a dead body was found just a few hours ago. Of course, its imperative that you teach the new forensic scientist the proper way to handle evidence and an investigation!Crime Scene:You walk up to the crime scene. A dead body is lying on the bank of the river, just a few miles outside of the city. There is a bullet wound on the victims chest where it appears a bullet entered the body. There are a few bullets that have been found scattered near the body of the victim. You can see that a gun is resting on the bottom of the river in the shallow end near the shore.Do some online research regarding what should be done first at any crime scene and how evidence should be processed. Based on your research, and what you learned in the unit, answer the questions.Discuss the first things you should teach your new partner to do as you approach the crime scene.Explain how you and your partner should go about handling the gun found at the bottom of the river? What are some things to keep in mind?How should you and your partner go about handling the bullets found near the body of the victim?What information might you be able to find from the gun and bullets found at the crime scene?As we know, it is very important to handle evidence at a crime scene properly. If clues and evidence are mishandled, it could ruin an entire investigation! Conduct some additional online research on your own. Find an article that describes a crime scene where evidence was mishandled. 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