For his birthday, Mr. Robin and four of his friends went to a Math museum to learn about new intergalactic math. They each got a ticket for $12.00 and each bought the same calculator at the gift shop. If Mr. Robin spent $110 for the group's tickets and calculator, how much did each calculator cost? Write and solve an equation to describe this situation.

Answers

Answer 1

Answer: $10

Step-by-step explanation:

Given

Robin and his four friends bought tickets for [tex]\$12[/tex] each

If each one of them bought a calculator then the total spendings are [tex]\$110[/tex]

Suppose the cost of each calculator is [tex]\$\ x[/tex]

Cost per person is given by  [tex]x+\$12[/tex]

For the group, it is [tex]5(x+12)[/tex]

Equate this to total spendings

[tex]\Rightarrow 5(x+12)=110\\\Rightarrow x+12=22\\\Rightarrow x=\$\ 10[/tex]

thus, the cost of each calculator is [tex]\$ 10[/tex]


Related Questions

Find the difference.
(9/4x + 6)-(-5/4x-24)

Answers

Answer:

9x/4 + 30 + 5x/4

Step-by-step explanation:

[tex]9x/4 +30 +5x/5[/tex]

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ (9/4x + 6) - (- 5/4x - 24)

Simplify the expression, then we have

⇒ (9/4x + 6) - (- 5/4x - 24)

⇒ (9/4)x + 6 + (5/4)x + 24

⇒ (14/4)x + 30

⇒ 3.5x + 30

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

More about the simplification link is given below.

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The university of Toronto has about 91,000 student registered. If this number is rounded to the nearest thousandth, which of the following is a possible number of students? Answer ASAP please!

A. 92,392

B. 90,439

C. 91,142

D. 91,984

Answers

It would be C. 91,142

please help i’ll give brainliest if you help thanks

Answers

Answer:

4b.

Step-by-step explanation:

Which type(s) of fractions have the same value?
like fractions
simplified fractions
equivalent fractions
all of the above
only b and c

Answers

All of the above is the correct answer because like fractions do have the same value and the same applies to simplified, and equivalent fractions.

Mark as brainleast plzzz

Ambria received flowers for Valentine's Day that were in a vase shaped like a rectangular prism. If the vase measured 12 inches long, 6 inches wide, and 10 inches high and was filled with water 4 inches from the top, what is the volume of the water that will be in the vase?

Answers

Answer: [tex]432\ in.^3[/tex]

Step-by-step explanation:

Given

The dimension of a rectangular prism is [tex]12\times 6\times 10\ in.^3[/tex]

Water is filled [tex]4\ in.[/tex] from the top i.e. [tex]10-4=6\ in.[/tex] high

base area for the water is the same i.e.  [tex]12\ in.\times 6\ in.[/tex]

The volume of rectangular prism is [tex]l\times b\times h[/tex]

The volume of water in the vase is given by

[tex]\Rightarrow V=12\times 6\times 6=432\ in.^3[/tex]

A hemispherical tank is filled with water and has a diameter of 22 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?

Answers

Answer:

just do the exam

Step-by-step explanation:

Answer:

173,949 lb

Step-by-step explanation:

Volume of a sphere:

[tex] V_{sphere} = \dfrac{4}{3}\pi r^3 [/tex]

A hemisphere is half of a sphere, so its volume is half of the volume of a sphere with the same diameter. Also, radius = diameter/2.

[tex] V_{hemisphere} = \dfrac{2}{3}\pi (\dfrac{d}{2})^3 [/tex]

[tex] V_{hemisphere} = \dfrac{2}{3} \times 3.14159 \times (\dfrac{22~ft}{2})^3 [/tex]

[tex] V_{hemisphere} = 2787.639~ft^3 [/tex]

Now we use the density of water to find the weight of the water contained in the tank.

weight = volume * density

weight = 2787.639 ft^3 * 62.4 lb/ft^3

weight = 173,949 lb

PLEASE HELP WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!! Which of the following could be factored by grouping?
a: ab+ad-ac+ae
b: ac+ad+bc-bd
c: ac+ad+bc+bd
d ab+cd-ab+cd

Answers

Answer:

B

Step-by-step explanation:

Please make  me branlist

Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Factorization by grouping means grouping the terms with common factors before factoring.

Given the equation:

ac + ad + bc + bd

Factorizing by grouping:

= a(c + d) + b(c + d)

= (a + b)(c + d)

Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)

Find out more on equation at: https://brainly.com/question/2972832

389 / 106
Round off to the nearest whole number ​​

Answers

Answer:

thi is the answer 3.66981132

Step-by-step explanation:

u just divided it

What is the value of z? Need HELP ASAP!! Need Answer NOW!

Answers

Answer:

8

Step-by-step explanation:

A rectangular piece of metal 12 cm long 18 cm wide and 10 cm high is melted and recast into 45 cylindrical plates,each of radius 1.2 cm.Find the thickness of each plate giving your answer correct to 2 decimal places?

Answers

Answer:

10.61 cm

Step-by-step explanation:

From the question,

The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.

Volume of a cuboid = 45×volume of a cylinder

lwh = 45×πr²h..................... Equation 1

Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.

make h the subject of the equation

h = lwh/(45πr²).................... Equation 2

Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm

Constant: π = 3.142.

Substitute these values into equation 2

h = (12×18×10)/(45×3.142×1.2²)

h = 2160/203.60

h = 10.61 cm.

Use the table. What inference can you make by comparing the measures of variability? Use the drop-down menus to explain your answer.

Finish Times of 30 Runners
in the 100-meter Dash
Mean MAD
Last Year 16.2s 1.2
This Year 14.7s 1.9
The is greater for this year’s 100-meter dash, which suggests that all 30 students equally.

Answers

Answer:

The first one is mean absolute deviation and the second one is did not improve

Step-by-step explanation:

I took the test

The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

The given table is:

                  Mean     MAD

Last Year    16.2 s     1.2

This Year    14.7 s      1.9

Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.

The mean absolute deviation is bigger, but the change in the mean is bigger.

difference of the mean   16.2 - 14.7 = 1.5

difference of the MAD  1.9 - 1.2 = 0.7

This means that the average speed of the runners increased since last year,

and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.

Learn more about Mean here:

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I need some help please it’s due in 20 minutes!

Answers

Answer:C

Step-by-step explanation:

I am not that sure.. but I think the answer is C.

Help me answer this please

Answers

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

help plz im so stuck

Answers

Answer: yes

Step-by-step explanation:

Factor the expressions.
9. ​3x + 2410.

10. 9c - 63

solve both and number the answers

Answers

Answer:

[tex]3x + 2410 \\ x = 2410 - 3 \\ x =2407 \\ \\ \\ 9c - 63 \\ 9(c - 7) [/tex]

There are 80 students in a 8th grade, 20% are boys. How many boys are in 8th
grade?

Answers

Answer:

16 boys

Step-by-step explanation:

Lets go with easy example:

20% of 100 students means 20 students: what is done there

We converted 20% to 20/100 so

[tex]\frac{20}{100}*100=20[/tex]

Lets do the same with 80 students as well

[tex]\frac{20}{100}*80=16[/tex]

Answer:

16

Step-by-step explanation:

[tex]\frac{20}{100} x \frac{x}{80} =16[/tex]

or do

80 x 0.20=16

both works

—-PLEASE HELP QUESTION IS IN THE PICTURE-



is this wrong?

Answers

looks good I can't see anything wrong

Find the measure of arc LM.

Answers

Answer:

arc LM = 119°

Step-by-step explanation:

KL = LM

arc KL = arc LM

2(arc LM) = 360° - 122° = 238°

arc LM = 119°

What is the value -5(-2)

Answers

Answer: 10

Step-by-step explanation: When multiplying integers,

if the signs are the same, the product is positive.

So a negative times a negative always equals a positive.

Therefore, -5(-2) is 10.

Answer:

10

Step-by-step explanation:

-5 x -2 = 10

product of (7x + 2) and (5x − 11)?

Answers

Answer: -32x - 22

Step-by-step explanation:

Answer:

[tex]35x^{2}-67x-22[/tex]

Step-by-step explanation:

:)

WHAT IS THE HA AND RANGE
ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER

Answers

Answer:

hahaha

Step-by-step explanation:

you said that you will give brainliest to the first person to answer not the first person to get it right

PLEASE HELP ME ITS TIMED!!

Answers

Answer:

x=10

Step-by-step explanation:

x^2 + 24^2 = 26^2

x^2 + 576 = 676

x^2 = 100

√x^2 = √100

x=10

Answer:

well,  we carry 2 of 2 of x so we know that 10 is in because of 6 +4  and 2+2=4  add them up so if im correct its 14 mark brainleist

Step-by-step explanation:

The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule?

Answers

Answer:

You keep adding 15.

Step-by-step explanation:

5+15=20

20+15=35

35+15=50

50+15=65

do you guys know the answer to this problem?

Answers

I think -5, sorry if I’m wrong.

If 2 inches on a map represents 100 miles, how much does 3.5 inches
represents on the same map? *

Answers

Answer:

175 miles

Step-by-step explanation:

3.5 has 2 miles in it so it has 100 then it has another 1 to make It 3 and half of 2 is ahh it's hard to explain but there's the anwser

Which ordered pairs are solutions to the system of linear equations?
y = 2x + 1
2y - 4x = 2
O (0,1)
O (1,0)
O (2,3)
O (-1, - 1).
0 (0,0)
O (-1,3)

Answers

Answer:

answer is (0,1).........

On Tuesday, Bob brought home an oriental carpet on approval. The price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars. On Tuesday, one dollar was worth 4.5 Turkish Lira. On Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira. Feeling lucky by this change, Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate. To the nearest dollar, how much did he save due to the devaluation?

Answers

Answer:

Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.

Step-by-step explanation:

Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:

(9,900 / 4.5) - (9,900 / 6.5) = X

2,200 - 1,523.07 = X

676.92 = X

So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.

How to Simplify (7^6)^2

Answers

Answer:

Well, since your question is asking how to simplify and not the actual answer itself, all we have to do is first simplify 7^6=117,649. Now we just take that number and make it 117,649^2. I hope im correct with the way i set up the equation even though the number is absurdly large

Step-by-step explanation:

Answer: (7⁶)² = 7¹²

Step-by-step explanation:

All you have to do is multiply the exponents here and keep the 7. So, your final answer is 7¹².

Hope this helps, and don't forget to mark me brainliest! Have a wonderful day!

The population of a school is 800 and is decreasing at a rate
of 2% per year; 4 years

Answers

Answer:

i think the answer is 738

what is the slope of the equation y=2/3x-4

Answers

Answer:

2/3

Step-by-step explanation:

y=mx+b

y=2/3x-4

m=slope

b=y intercept

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