On a busy day, a shop sells a total of 15 desks and chairs for a total amount of $960.The desks sell for $120 each and the chairs sell for $50 each.
(a) Express the information as two equations. Let d equal the number of desks and let c equal the number of chairs.
(b) Solve the equations simultaneously to find how many of each were sold.

Answers

Answer 1

Answer:

- sold 15 desks + chairs

- each desk is $120

- each chair is $50

- total amount is $960

- desk = d

- chairs = c

(a) i/ d + c = 15

ii/ 120d + 50c = 960

(b) d+c = 15 --------- (1)

120d + 50c = 960 --------(2)

from (1) d+c = 15

c = 15-d --------- (3)

substitute (3) into (2)

120d + 50c = 960

120d + 50(15-d) = 960

120d + 750 - 50d = 960

120d - 50d = 960 - 750

70d = 210

d = 210/70

d = 3

substitute d=3 into (3)

c = 15-d

c = 15-3

c = 12

thus, 3 desks and 12 chairs were sold


Related Questions

At the beginning of the day there were 90 little fish in the pond.At the end of the day there were 52 little fish in the pond.Find the percent decrease from the beginning of the day to the end of the day.Round to the nearest percent. *

Answers

Answer:

42%

Step-by-step explanation:

The first step is to calculate the difference in the number of fishes from the beginning of the day to the end of the day.

90 -52

= 38 fishes

Therefore the percent decrease can be calculated as follows

= 38/90 × 100

= 0.422 × 100

= 42.2 %

= 42% ( to the nearest cent)

What is the fraction that is halfway between 1/3 and 1 1/2

Answers

Answer:

17/6 or 18/6

Step-by-step explanation:

1/3        11/2        first make sure they have the same bottom number

2/6       33/6       now find the in between

please give me a brainliest if this helps


[tex] \frac{ - 2 + 3 \times 6} 5[/tex]
I need help please ​

Answers

-2 + 3 x 6

-2 + 18

16

16/5 or 3.2

Answer:

Step-by-step explanation:

we do first the multiplication 3*6=18

-2+18=16

16/5 is your answer or 3.2

Does anyone know what to change to make line “p” and “q” parallel?

Answers

One of the lines would have to shift 1°
Each line has a measure of 180°
So subtracting 51° from it would give you 129° which, as you can see, is inconsistent with the measurement of 130° on the other line

What is the area of figure ABCD?
(image of figure down below)

104 square inches
120 square inches
136 square inches
168 square inches

Answers

Answer:

a

Step-by-step explanation:

write 6 3/10 as a improper fraction

ASAPPPPP

Answers

Answer:

63/10

Step-by-step explanation:

Answer:

63/10

Step-by-step explanation:

6 3/10

see, from the denominator that means 10,

multiply to whole, then 10×6,

we got 60 right;

now add numerator 60+3 = 63

here we got improper fraction,

that is 63/10

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

Can someone help within 10 min Help plz

Answers

Answer:

-6x + y < 3

Step-by-step explanation:

After y = 3 the shading hits the y axis!

Brainliest Appreciated! Hope I helped!

HELP only answer to give right answer pleaseeee

Answers

Answer:

B=4

Step-by-step explanation:

The Y intercept is where the line meets with the middle of the graph

B=4!!!
The y-intercept of the line is B4

A hang-glider 25 meters above the ground started to descend (go down) at a constant rate of 2 meters per second. Which equation could be
used to determine the height h of the glider after t seconds of descent?

Answers

Answer:

Step-by-step explanation: h = -2t + 25

2t = the distance the glider will pass descending with constant speed of 2 m/s (distance = speed*time)

25 = the initial height that will decrease by the distance that the glider will pass while descending during time t

Plz help ASAP!!!! I NEED IT!!!!!If you don't know the answer plz don't use an answer to say "oh idk" or sum like that

The shape we are referring to is the singular one

Which shapes are similar but not congruent to shape I?

The choices are the groups

Answers

Answer:

I wanna say the first picture second answer choice. Please tell me if I am right.

Step-by-step explanation:

Answer: The first group is the correct answer

Step-by-step explanation:

I took a test with this question got it right

What is the Least Common Denominator for the two fractions? 1/4 and 7/10​

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Can anyone help me I’m struggling with this I would appreciate

Answers

I THINK 4x + 10y = -20 is the answer, bec there is no way u can answers that .

what is the distance between piont S (3 -2) and point T (-5, -2)​

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I need help with number 21 please help!!!

Answers

Answer:

This is not a direct variation.

Step-by-step explanation:

Direct variation:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

(y varies directly with x with a constant variation of k)

[tex]y=kx;\ k\neq0[/tex]

[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]

[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]

Find the slope-intercept equation of the line that
passes through (0,4) and has a slope of 1.

Answers

Answer:

y=1x+4 is the answer :))))

Answer:

y = x + 4

Step-by-step explanation:

slope intercept equation: y = mx + b

m = slope

b = y-intercept(when x =0)

use the points given; (0,4) and m = 1

to find b

y = mx + b

4 = 1(0) + b

4 = b

now put your equation together.

y = 1x + 4

or y = x + 4

(29-(-7):
= =a
Look at picture

Answers

Answer:

Four

Step-by-step explanation:

29 plus 7 = 36 divided by 4= 9

what is the greatest common factor between 20 and 25

Answers

Answer:

5

Step-by-step explanation:

In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample, students will calculate the proportion of blue marbles. Which of the following sample sizes will have the largest sampling variability?

5
10
15
20

Answers

Answer:

5

Step-by-step explanation:

largest variability

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

If Tamair has $100 & gives $40 to her best friend Tsion, but Tsion gives $20 to Tamair, how much money does Tamair have left?

A) 90
B) 80
C) Tamair is broke
D) Tsion is broke

Answers

Answer:

B) 80

Step-by-step explanation:

Thats my bestie so dont mess with her or its gonna be a problem

What is the total including sales tax for an item that cost 75.25 at a tax rate of 8%

Answers

Answer:

$81.27

Step-by-step explanation:

75.25 X 8% = $6.02 + 75.25 = $81.27

What is the value of the expression?

Answers

Answer:

Option D

Step-by-step explanation:

I evaluated the numbers in the parentheses and multiply both of them. Then I found the answer that is equivalent to mine. I got 7/10, which is also equal to 7.0 x 10^-1.

Hope this helps! :)

Please help me please help!!

Answers

Answer:

(1) -27

Step-by-step explanation:

[tex]-2(-3)^2+3(-3)[/tex][tex]-2(9)+(-9)[/tex][tex]-18-9[/tex][tex]-27[/tex]

What is the value of KL?

Answers

Answer:

KL = 40.5

Step-by-step explanation:

From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem,

⅔ of KL = LP

LP = 27

Plug in the value of LP

⅔(KL) = 27

Multiply both sides by 3

2(KL) = 3*27

2(KL) = 81

Divide both sides by 2

KL = 81/2

KL = 40.5

9) Choose which postulate proves the triangles congruent. *

A) ASA
B) SSS
C) AAS
D) SAS
E) HL

Answers

ASA. PQR and SQR are equal (A), both share QR (S), and PRQ and SRQ are equal (A).

Which point is a reflection of M(-5, -6) across the y-axis?
Y
8
7
6
5
4
3
2
0
-6 -5 -4 -3 -2
0 1
3
4
5
6
- 2
-3
-4
-5
-6
-8
-9

Answers

Answer:

point R

Step-by-step explanation:

reflection rule for the y-axis

p(x, y)->p'(-x, y)

therefore:

M(-5, -6)->R(5, -6)

The graph shows a proportional relationship between y (price) and x (number of pounds of rice).



What is the unit rate, expressed in price per pound?

Answers

Answer:

0.80

Step-by-step explanation:

I just took the test I wrote the $1.67 it was wrong.

Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings

Answers

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

Randall collects postcards that his friends
send him when they travel. He can put
6 cards on one scrapbook page. How
many pages does Randall need to fit
42 postcards? (SHOW YOUR WORK/STEPS)

Answers

Answer:

7pages

Step-by-step explanation:

42÷6= 7

You are dividing how many postcards you have with how many you can fit on one page. If you divide them, you will get your answer.

Randall needs 7 pages to fit 42 postcards.

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