Three erasers and five pencils cost $7.55. 6 erasers and 12 pencils cost $17.40. How much does 1 eraser cost? How much does 1 pencil cost?

Answers

Answer 1

Answer:

Step-by-step explanation:

erasers=e  

pencils=p

3e+5p=7.55   ...(1)

6e+12p=17.40

divide by 2

3e+6p=8.70  ...(2)

(2)-(1) gives

p=8.70-7.55=1.15

from (1)

3e+5(1.15)=7.55

3e+5.75=7.55

3e=7.55-5.75

3e=1.80

e=1.80/3=0.60

cost of 1 eraser=$0.60

cost of 1 pencil =$1.15


Related Questions

which equation is equivalent to 63-3(2-10x)=150

Answers

Answer:

D: 57 + 30x = 150

Step-by-step explanation:

63-3(2-10x)=150

63 - 6 + 30x = 150

57 + 30x = 150

63-3(2-10x) = 150
63-6+30x = 150
*57+30x = 150*
30x = 150 -57
30x = 93
x = 31/10

The answer is...D. It appears in the third step of my work. :)

Find the value of x.

Answers

Answer:

6

Step-by-step explanation:

The two small triangles are congruent by SAS.

By CPCTC, x = 6.

Answer: 6

5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged $450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?

Answers

Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

Trapezoid
Area= 1/2 (6+14)8
A=80
Now i know what the equals but i don’t know how to find the m2

Please help :)

Answers

bb

Step-by-step explanation:

honda is the lowest price on the market and the price of the following lines are not anybody else so expect to have a good time and be able to make a few things that are good

1. x+1 when x=10


2. 5y-8 when y=6


3. 6t-9m when t=5 and m=3


4. 62/2 when x=10


5. 5h3-3j2+20​​ when h=4 and j=5

Answers

Answer:

1

X is equal to 10

10 plus 1 equals 11

2

y is equal to 6

30 minus 8

is equal to 22

3

m equals 3 and t equals 5

30 minus 27

is equal to 3

4 not written properly

5 not written properly

Can someone please answer this for me.

Answers

Answer:

[tex]\huge\boxed{\sf Slope = \frac{9}{7}}[/tex]

Step-by-step explanation:

The top and bottom points of the line are

(3,0) and (10,9)

[tex](x_1,y_1) = (3,0)\\\\(x_2,y_2) = (10,9)[/tex]

So,

[tex]\sf Slope = \frac{y_2-y_1}{x_2-x_1}\\\\Slope = \frac{9-0}{10-3} \\\\\boxed{\sf Slope = \frac{9}{7} }\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

sohcahtoa

sin = opp/hyp

sin A = 16/20= 4/5

During a sale, a store offered a 40% discount on a bed that originally sold for $840. After the sale, the discounted price of the bed was marked up by 40%. What was the price of the bed after the markup? Round to the nearest cent.

Answers

Answer:

$705.60

Explanation:

Discounted price:

$840 × (100% - 40%)

= $840 × 60%

= $840 ÷ 100 × 60

= $504

Markup:

$504 × (100% + 40%)

= $504 × 140%

= $504 ÷ 100 × 140

= $705.60

i hope this helps! :D

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many more hot dogs would winston need to sell to earn a total of 185.00?

Answers

Step by step explanation

Cost of one hotdog =140/56=2.5

To find the number of hot dogs =total cost so the cost of one hotdog is =175/2.5=70

So the numbers of hot dogs he had to sell more of =70-56=14

Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?

f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power

f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power

f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power

f(x)=−23,540(0.95)x

Answers

Hey I want you to know to have a bless day

The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

What is function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.

The depreciation rate =

A = P(1-r)ⁿ

Where, A = amount final

P = initial amount

r = rate and n = number of the years

Therefore,

The depreciation rate =

f(x) = 23540(1-0.05)ˣ

f(x) = 23540(0.95)ˣ

Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

Learn more about functions, click;

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1. How long does it take running at a rate of 12m/s over a distance of 360m?

Answers

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected.

Which function most accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?

n = 2t
n = 2^t
n = t^2
n =

Answers

A is the answer

EXPLANATION-

7x = 14 step by step ​

Answers

Answer:

x=2

Step-by-step explanation:

7x = 14

x = 14/7

x = 2

Answer:

2

Step-by-step explanation:

7x/7 = 14/7

x = 2

Kayla's family receives great service during their meal at Olive Garden and want to give their server a 20% tip. If the meal cost $73.28, how much tip do they leave the server?

Answers

Answer:

$14.656

Step-by-step explanation:

Given data

Cost of meal= $73.28

Tip= 20%

Let us find 20% of $73.28

=20/100*73.28

=0.2*73.28

=$14.656

Hence the tip is $14.656

HELP WHATS THE CONSTANT OF PROPORTIONALITY
sodas: 2 3 4 5
cost: $2.50 $3.75 $5.00 $6.25

Answers

Answer:

its 1.25

Step-by-step explanation:

2. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right

Answers

Answer:

Acute

Step-by-step explanation:

26^2 + 12^2 = 18^2

676 + 144 = 324

820 = 324

Since 324 is smaller, this triangle is acute

angle is actually acute :)

How do you graph it ?

Answers

Answer:

It should look like this

Step-by-step explanation:

hope it helps

The mapping diagram shows a relation. A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2). What is the domain of the relation? {x| x = –4 , 0, 1, 2}. {x| x = –7, –6, 2, 11, 3}. {y| y = –4, 0, 1, 2}. {y| y = –7, –6, 2, 11, 3}.

Answers

Answer:

b

Step-by-step explanation:

The domain is a set of input values so {x| x = –7, –6, 2, 11, 3} will be the domain of the relation therefore option (B) will be correct.

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

The domain is the set of all input values where the function is defined.

Since in the given relation ;

All input values have an output so all input values will be the domain of the given relation.

Hence "{x| x = –7, –6, 2, 11, 3} will be the domain of the relation".

For more details about the range and domain of the function,

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20 Points!!!! PLEASE help!! Math!! Due soon!!

Answers

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

Complete the following table for f(x) = -2.4"
-2
-1
0
1
2
-2
[
Choose
- 1
Choose)
0
Choose!
1
Choose
2
Choose

Answers

Answer:

3

Step-by-step explanation:

can someone please solve 1/4 x 5/3

Answers

Answer:

Just multiply the numerators and denominators:

1×5=5 and 4×3=12

The answer is 5/12

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} *\frac{5}{3} =\frac{5}{12}[/tex]

help? i wud rly appreciate it <3

Answers

Answer:

D

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

-3x+1<7

     -1  -1

-3x<6

/-3    /-3

x>-2(you divided by a negative so flip the sign, the sign also tells you which way the graph should be covering :D)

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

Find the value of 3p2 – 4p -5, if p= -3

Answers

Answer:

-11

Step-by-step explanation:

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

= -18 + 12 - 5

= -11

Can someone help me slove this plss. :-)

Answers

Answer:

Step-by-step explanation:

.

HELP HELP ME PLZ !!!

Answers

Answer:

GK=JK

Step-by-step explanation:

SSS congruency  is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.

For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.

The options are:

<G=<J

<H=<H

GK=JK

the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS

GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.

Hope this helps!

Find the missing side. Round to the nearest tenth.

Answers

Answer:

[tex] \tan \frac{opposite}{adjacent} [/tex]

21.4

Step-by-step explanation:

tan47° = x/20

1.072=x/20

20×1.072= x/20×20

x =20 ×1.072

x= 21.447

x=21.4

how many minutes will it take for a plane altitude to change by -5,400 meters

Answers

Answer:

I believe it will be 5 minutes for it to reach that.

Please help me I will give brainlest if right
What is the complete factorization of the polynomial below?
x^2 + 4x^2 + 16x + 64
O A. (x-4)(x + 4i)(x + 4i)
B. (x + 4)(x + 4i)(x + 4i)
C. (x + 4)(x + 4i)(x-4i)
O D. (x-4)(x + 4i)(x-4i)

Answers

Given:

Consider the given polynomial is:

[tex]x^3+4x^2+16x+64[/tex]

To find:

The complete factorization of the given polynomial.

Solution:

We have,

[tex]x^3+4x^2+16x+64[/tex]

Using grouping method, we get

[tex]=(x^3+4x^2)+(16x+64)[/tex]

[tex]=x^2(x+4)+16(x+4)[/tex]

[tex]=(x+4)(x^2+16)[/tex]

[tex]=(x+4)(x+4i)(x-4i)[/tex]         [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]

Therefore, the correct option is C.

Part A - Find the area of the shaded region. Round to the nearest hundredth. Just write the number with no unit attached. * 11 cm / Tan ་ 12 cm​

Answers

Answer

128.86

Step-by-step explanation:

The box is 11x12 so 132.

The circles area is 3.14, or

A = πr^2 = π·1^2 ≈ 3.14159

So 132-3.14 is 128.86

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