Tom went to a store and spent 1/3 of his money. He went to a second store where he spent 1/3 of what remained and then had 12$ when he left. How much money did he start with?

Answers

Answer 1

Tom must have had 27 dollars to start with. 27 divided by three is 9.( We divide by three because he spent 1/3 of his original money) 27-9 is 18. 18/3 is 6. 18-6=12. So the answer 27 would fit.

Answer 2

Tom had $27 to start with

Related Questions

Jada has 7/8 cup of cheese. Her cheese bread recipe calls for 1/6 cup of cheese. How many times can she make her recipe with the cheese she had?

Answers

Divide 7/8 cup by 1/6 cup.

Write 7/8. Then invert 1/6 and multiply the result:

7 6
-- * --- = 42/8 = 5 2/8 = 5 1/4. She can make her recipe 5 times and have a bit of cheese left over.
8 1

What is 0.1 repeating as a fraction

Answers

i believe the answer would be 1/9

1/9

Short Cut That My Teacher Taught Me :)

0.1 repeating has 1 digit repeating after the decimal point, so there is one digit in the denominator. Put the repeating digit in the numerator place. That's your answer. You can do the same to any repeating decimal: 2 digits after the point has 99 as the denominator, 3 digits is the repeating number over 99, and so on.

Can you help me for 8 and 9

Answers

8) terminating
9) repeating

9) a repeating decimal has one or more digits that repeat forever
8) a terminating decimal has a final digit

hope this helps

PLEASE HELP!

Is it possible for a number to be a rational number that is not an integer but is a whole number? Explain

Answers

Every whole number is a rational number: for example, 3=31. So it is rational. Every whole number n can be written as a fraction of integers: n=n1. We aren't required to write it that way; we just need to know that it is possible to express every whole number as a fraction of integers, and hence it is rational.

A referee was standing on a certain yard line as the 1st quarter ended. He walked 41 3/4 yards to a yard line with the same number as the one he just left. How far was the refree from the nearest goal

Answers

Refer to the diagram shown below.

The American football field is 100 yds long, 53 1/3 yards wide, and has 10-yard touchdown zones at each end of the field.

Let x = distance of the referee at the end of the quarter from the nearest goal.
The distance between the same yard lines on either side of the center line is
100 - 2x

This distance is the 41 3/4 yards that the referee walked. Therefore
100 - 2x = 41.75
-2x = 41.75 - 100 = -58.25
x = 29.125 yd (or 29 1/8 yd)

Answer:
The referee was 29 1/8 yards (or 29.125 yards) from the nearest goal.

A sketch of the line 2y-x=4 is shown.
The line cross with the axes at A and B.
Calculate the coordinates of A and B
Thank you.

Answers

solution a, e M, is uniquely defined by the inequality (A'an – f', '' – an) < 0 ... Vane M, x, e M. (6.1.9) It is possible because a, e X, and a € X, Since M, C M for all n > 1, the sequence {a}} is compact, hence, there exists ¥ € M such that a' – 30 as n ... M = {a e X | p(x) = 0}, where b : X → R is a convex and continuous functional.

line m contains the points with coordinates (-4,1) and (5,8) and line n contains points with coordinates (6,-2) and (10,7) .are the lines parallel,perpendicular,or neither? justify your answer

Answers

M would be negative 4 and 1 becuase of the ratio

The population in the South in 2000was 100,236,820. In 2010 the population increased by 14.3% from 2000. How many people live in the south in 2010

Answers

First get the percentage of increase by changing 14.3 percent to a decimal and multiplying 100,236,820 by .143

100,236,820 x .143 = 14,333,865

Now add 100,236,820 by 14,333,865
100,236,820 + 14,333,865 = 114,570,685

the graphs of two different direct variations can be parallel

Answers

False, because the two functions would have different slopes.

If 2/3 out of 3/3 of the pie is eaten what fraction remains

Answers

3/3 - 2/3 = 1/3 of the pie is left.

2/3 out of 3/3 is eaten

3/3 - 2/3 = 1/3

1/3 remains

hope this helps

X+3/6=x-6/3
x plus 3 divided by 6 equals x minus 6 divided by 3 solve for x

Answers

there is no solution because the Xs cancel out

Answer: "x = 15 " .
_____________________________________________
Explanation:
_____________________________________________
Given:
_____________________________________________
" (x + 3) / 6 = (x − 6) / 3 " ; Solve for "x" ;
_____________________________________________
Multiply EACH SIDE of the equation by "6" ;
to get rid of the "denominators" ("fractions") :
_____________________________________________
→ 6* { (x + 3) / 6 } = 6 * { (x − 6) / 3 } ;

to get:
_____________________________________________
→ x + 3 = 2(x − 6) ;
_____________________________________________

Note the "distributive property of multiplication" :
_____________________________________________
a(b + c) = ab + ac ;
a(b − c) = ab − ac ;
_____________________________________________
As such:
_____________________________________________
→ 2(x − 6) = (2*x) − (2* 6) = 2x − 12 ;
_____________________________________________
So; we can rewrite the original equation:
_____________________________________________
" x + 3 = 2(x − 6) " ;

→ by substituting: "2x − 12" ; [ in lieu of: "2(x − 6)" ] ; as follows:
______________________________________________________
→ x + 3 = 2x − 12 ;

Now, we can subtract "x"; and can add "12" ; to EACH SIDE of the equation:

→ x + 3 − x + 12 = 2x − 12 − x + 12 ;

to get: 15 = x ;

↔ x = 15 ; which is our answer.
______________________________________________

How many one thirds are in 7 halves?

Answers

Hello!

Here's how to solve this question without the use of a calculator.

[tex] 7 \times { \frac{1}{2} } = { \frac{7 \times 1}{2} } = { \frac{7}{2} } [/tex]

7/2 ÷ 1/3 = ?

Change division to multiplication.

[tex] { \frac{7}{2} } \times { \frac{3}{1} } = { \frac{7 \times 3}{2 \times 1} } = { \frac{21}{2} } [/tex]

21/2 = 10.5 ≈ 10 (rounded)

Thanks for posting your question in the community :)

What’s 28.2% of 92
Plz and thank you

Answers

28.2/100 = x/92

Multiply 92 by 28.2

2594.40

Then divide by 92

28.2

28.2% of 92 is 28.2

Hope this helps!

The value of given percent 28.2% of 92 is equal to 25.94

To calculate 28.2% of 92, follow these steps:

Convert the percentage to a decimal by dividing it by 100. In this case, 28.2% becomes 0.282 (28.2 ÷ 100 = 0.282).

Multiply the decimal by the number you want to find the percentage of. here, 0.282 multiplied by 92:

0.282 ×92 = 25.944

Round the result to an appropriate number of decimal places. In this case, we'll round it to two decimal places:

28.2% of 92 is approximately 25.94.

Therefore, 28.2 percent of 92 is equal to 25.94.

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write three equivalent ratios for 10/12

Answers

10 to 12

10/12

and

10:12

i hope this helps =)

5/6

20/24

30/36.

I interpreted the question this way:)

How many time can 4 go into 69

Answers

17 times, with 1 left over

hope this helps

17.25
Hope this helps

Write 4,050 in expanded form.

Answers

4000 + 50 is the correct answer

4,050 in expanded form is 4000+50

plz help...A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $115

A)
f(x) = 15x + 25; f(6) = 115

B)
f(x) = 25x + 15; f(6) = 165

C)
f(x) = 15x + 25; f(6) = 125

D)
f(x) = 15x + 25; f(115) = 1750

Answers

The answer is A
Hope this helps!!

the answer is a because it says you were charged 115 and thats the only one with 115

after a reflection over the line y=x (8,11) is the image of point c. what is the original location of point c

Answers

the original points/point c would be (-8,11) bc the y stays the same and the x changes from its original to (in this case) negative to positive

(positive to negative/negative to positive for either the x or y)

hope this helps

Final answer:

The original location of point C before a reflection over the line y=x, given that the image of point C is at (8,11), would be (11,8) as coordinates are swapped during such a reflection.

Explanation:

To determine the original location of point C before a reflection over the line y=x, you would apply a simple transformation rule. For any reflection over the line y=x, the coordinates of a point are swapped. Thus, if the image of point C is at (8,11), the original location of point C would have the x-coordinate as 11 and the y-coordinate as 8.

The step-by-step process to find the original location of point C before the reflection is as follows:

Take the x-coordinate of the image and make it the y-coordinate of the original point.Take the y-coordinate of the image and make it the x-coordinate of the original point.The resulting point is the original location of C before the reflection.

Therefore, the original location of point C is (11, 8).

Evaluate b2 − 4ac for a = −3, b = 5, and c = 2.

Answers

I believe the answer is -19

The answer is 49.
5^2= 25
-4*-3= 12
12*2= 24
24+25= 49

write each fraction or mixed number as a decimal.
1. 7/8 2. 7/15 3. 4 3/25

Answers

1.7.8
2. 7.15
3. 103.25

a rectangle prism is 4 units high, 2 units wide, and 6 units long. what is its surface area in square units?

Answers

SA: 2(w × l + h × l + h × w) w = 2, l = 6, h = 4

SA: 2(2 × 6 + 4 × 6 + 4 × 2)

SA: 2(12 + 24 + 8)

SA: 2(36 + 8)

SA: 2(44)

SA: 88

hope that helps, God bless!

Surface area of the rectangle prism is 88 sq. units.

Given:

height of the rectangle prism (h) = 4 units

width of the rectangle prism (w) = 2 units

length of the rectangle prism (l) = 6 units

Recall:

Formula for surface area of a rectangle prism is:

[tex]SA = 2(lw +wh +lh)\\[/tex]

Plug in the values:

[tex]SA = 2(6\times 2 +2\times4 +6\times4)\\SA = 2(12 + 8 + 24)\\SA = 2(44)\\SA = 88[/tex]

Therefore, the surface area of the rectangle prism is 88 sq. units.

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Given the following system of equations, identify the type of system. x + y = 4 x - y = 6

Answers

The following system of equations, x + y = 4 x - y = 6 represents an Independent System.

What is the equation?

A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.

When there is only one solution, a set of linear regression is persistent and independent. The diagrams of the platform's lines intersect at precisely one spot if this is the case. If a set of linear equations would have no resolutions, it is inconsistent. There is only one solution pair for an autonomous state (x,y). The sole solution is the intersection of the two lines. A system that is incongruous cannot be fixed.

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Alvin’s family used 20.5 gallons of gas to Drive 492 miles. How many miles did they drive on each gallon of gas

Answers

Since they use 20.5 gallons in 492 miles you need to divide 492/20.5 which gives you 24

Answer: 24.0

Step-by-step explanation:

divide 492 and 20.5

Elena drove 245 miles last week & 222 miles this week.she estimated that she drove about 475 miles bin both weeks.how did she estimate

Answers

she add both of her miles together

Answer:

This estimate is based on the addition of both the miles of both weeks by rounding them off.

Step-by-step explanation:

Elena drove 245 miles last week & 222 miles this week.

She estimated that she drove about 475 miles in both weeks.

This estimate is based on the addition of both the miles of both weeks by rounding them off.

245 is rounded to 250

222 is rounded to 225

Now adding both [tex]250+225=475[/tex] miles.

Write the sentence as an inequality.
Seven is at most the quotient of a number d and 5.

Answers

answer will be 7≤ d/5

answer: 7≤ d/5
hope this helps:D

plz give brainiest

In the 1980s, the population of Pleasanton decreased by 10%. In the 1990s, its population increased by 30%.

How does the population of Pleasanton at the end of the 1990s compare with its population in 1980?

A) It is 20% higher. B) It is 23% higher. C) It is 40% higher. D) It is 17% higher.

Answers

The population of Pleasanton is 17 % higher. (Right choice: D)

According to the statement, the population of Pleasanton is reduced by a factor of 0.9 in the 1980s and increased by a factor of 1.3 in the 1990s. The increase rate is found by means of this formula:

[tex]x =[(0.9)\cdot (1.3)-1]\cdot 100[/tex]

[tex]x = 17\,\%[/tex]

The population of Pleasanton is 17 % higher. (Right choice: D)

To learn about percentages, we kindly invite to check this verified question: https://brainly.com/question/834969

Final answer:

The population of Pleasanton at the end of the 1990s is 17% higher than the population in 1980.

Explanation:

To compare the population of Pleasanton in the 1990s with the population in 1980, we need to consider the changes that occurred in each decade. In the 1980s, the population decreased by 10%. This means that if the population in 1980 was represented by 100, it would have decreased to 90 by the end of the decade.

In the 1990s, the population increased by 30%. Using the population of 90 at the beginning of the decade, the population at the end of the 1990s would be 90 + (30% of 90) = 90 + 27 = 117.

So, the population of Pleasanton at the end of the 1990s is 117, which is 17% higher than the population in 1980. Therefore, the correct answer is D) It is 17% higher.

g (a) = 4a ; Find g (2a)

Answers

this is how u do it...
ga=4a

Step 1: Divide both sides by a.

ag/a=4a/a. fraction

g=4
the answer is
4

If the unit selling price is 2.50 and the unit cost is 1.00 what action is needed to maintain the gross margin percentage when unit cost increase 0.25

Answers

The original gross margin is (2.50 / 1.00) - 1 = (2.5 - 1) = 1.5 = 150%

the cost increases 0.25, is an increase of (0.25 / 1.00) = 25%

in order to keep the same gross margin, you need to increase the sale price by 25%

2.50*1.25 = 3.125

Then the gross margin is (3.125 / 1.25) - 1 = (2.5 - 1) = 1.5 = 150% ( same as original )

A road sign gives drivers information about traffic on busy highways. One sign shows "15 miles in 20 minutes". What is this speed in miles pee hours?

Answers

First of all you need to work out 20 minutes in hours, this can be done by dividing 20 by 60:
20/60 = 1/3

Then you need to divide 15 by 1/3 to get the final speed:
15 / 1/3 = 45 miles per hour

He will need to be traveling at 45 miles per hour,
Hope this helps! :)

15/20 = mph/60

60 x 15 = 20 x mph

900 = 20 x mph

900/20 = mph

45mph is your answer.

there was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get

Answers

Each person gets 1/9 of the pizza

Hope this helps!

Hello There!

[tex] \frac{2}{3} [/tex] x [tex] \frac{1}{6} [/tex] = [tex] \frac{2}{18} [/tex]
You can simplify that to
[tex] \frac{1}{9} [/tex]

Hope This Helps You!
Good Luck :)

- Hannah ❤

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