Thomas bought 12 glass and plastic cups from the store glass cups cost $3.25 and plastic cups cost $2.75 thomas spent a total of $36 how many cups and how many plastic cups did you buy

Answers

Answer 1

Thomas bought 6 plastic cups and 6 glass cups.

For given question,

Let a be the number of glass cups and b be the number of plastic cups.

Thomas bought 12 glass cups and plastic cups.

So, we get an equation

a + b = 12                        .................(1)

The glass cups cost $3.25 and plastic cups cost $2.75

Thomas spent a total of $36

From this information we get equation,

3.25 a + 2.75 b = 36         ............(2)

We have a system of equations.

From equation (1),

a = 12 - b                  .............(3)

Substitute above value of a in equation (2)

3.25 (12 - b) + 2.75 b = 36

39 - 3.25 b + 2.75 b = 36

39 - 0.5 b = 36

-0.5 b = -3

b = 6

This means, Thomas bought 6 plastic cups.

Substitute above value of b in equation (3)

So, a = 12 - 6

a = 6

Thomas bought 6 glass cups.

Therefore, Thomas bought 6 plastic cups and 6 glass cups.

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Related Questions

What is the midpoint of the segment shown below?

Answers

Answer:

A. 5, 1/2

Midpoint formula: (x1+x2)/2, (y1+y2)/2

5 + 5 / 2 = 5

4 + -3 / 2 = 0.5

therefore it is

(5, 1/2)


Consider the number 7,123,456.
a. Approximate the number by rounding to the nearest million.

Answers

Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

What is approximation?

Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.

Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

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-4/-9, 11/12, -21/-18, 1/6 in ascending order. i really need this answerr please

Answers

Ascending order is 1/6< -4/-9< 11/12 < -21/ -18.

Here the fraction is -4/-9, 11/12, -21/-18, 1/6.

To know write the fraction in its ascending form, and convert the fraction into it's decimal form.

Therefore we have,

-4/-9 = 4/9 = 0.44

11/12 = 0.916

-21/-18 = 21/18 = 7/ 6 = 1.16

1/6 = 0.16

Therefore ascending order is 0.16< 0.44< 0.916 < 1.16. That is 1/6< -4/-9<11/12 < -21/-18.

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A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

we need to mulitply because for every inch there are 25.4 mm.


26.0 *25.4

660.4 mm.

so we know that the bikes wheels diameter is 660.4 millimeters

3÷4 1/2




I'm trying to learn math easyer then how they teach in class_school

Answers

Answer:

3÷4= 0.75 then,

1/2=0.5

Step-by-step explanation:

Hope it was helpful.

g(x)= x²-x-12/x²-4x+4

find g(2)​

Answers

Step-by-step explanation:

g(2)=((2)²-2-12)/((2)²-4(2)+4)

=4-2-12/4-8+4

=-10/0=undefined

Given y = 6x + 7, what is the value of y when x = -3?

Answers

Answer:

y=-11

Step-by-step explanation:

Answer:

y = - 11

Step-by-step explanation:

y=6x+7
y=6*(-3)+7
y=-18+7
y=-11

Which region represents the solution to the given system of inequalities?
[x < -1/2 x
v≥ 2x+3
B
-5-4-3
C
5
4
3
-
-1₁
L2
-3-
4
-5
D
A
-2 3
4
5 X

Answers

Answer:

أنا بصراحة لا أعرف

Step-by-step explanation:

[x < -1/2 x

v≥ 2x+3

B

-5-4-3

C

5

4

3

-

-1₁

L2

-3-

4

-5

D

A

-2 3

4


Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.

Answers

The given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

What are statements and conclusions?

Logical reasoning essentially consists of a statement and a conclusion. In this part, a claim and several inferences will be made. It is necessary to select the statement's logically following conclusion.

Given that If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.

Conclusion: Dante obtained a part-time job.

From the given statement it is concluded that Dante obtained a part-time job which means that he is financially stable now to pay for the car.

Therefore, the given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

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Help ASAP! PLEASE!
The data set shows the numbers of hours that college students studied in one month.
What is the mean number of hours they studied in one month? Round answer to the tenths place. If answer is
a whole number then include a zero in the tenths place to have answer counted correct.
50, 68, 67, 97, 22, 19

Answers

Answer:

53.8

Step-by-step explanation:

Question is asking for the mean, mean is basically the average of all the values. To calculate the mean you add all the values together and divide by how many values there are.

Add all values together you get 323

Since you have 6 values we do 323÷6

Which will give us 53.83

Rounded would be 53.8

hi pls help i do not understand

Answers

Answer: A & D

Step-by-step explanation:

A & D both are correct

Only option D is correct. Because all other option have their negative signs incorrectly placed.Only d amounts to 4/5

Solve the math problem

Answers

Answer:

there................

How many sisters does Carly have

Answers

Answer:

she has 2 sisters; lucy simon and joanna simon

Step-by-step explanation:

Traveling at an average rate of between 40 and 50 miles per hour for 3 to 4 hours, select the best estimate for the distance traveled.

Answers

Answer:

Step-by-step explanation:

Take average speed to be (40+50)/ 2 = 45 mph.

Then estimate of distance travelled

= 45 * 3.5

= 160  miles.

Pleeeeeease this is my second time asking, I need help.

Answers

The value of x in the figure is 4

How to determine the value of x in the figure?

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

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Solve the equation
-2 = 2 + v/4

Answers

The simplification of the equation - 2 = 2 + v/4 is v = - 16.

Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the equation,

-2 = 2 + v/4

The equation can be rewritten as:

-2 = 2/1 + v/4

The least common multiple or LCM of 1 and 4 is 4.

-2 = ( 2 × 4) / (1 × 4) + v /4

-2 = 8/4 + v/4

-2 = ( 8 + v) /4

Multiplying each side of the equation by 4

- 2 × 4 = [ ( 8 + v ) / 4 ] × 4

- 8 = 8 + v

Subtracting each side of the equation by 8.

- 8 - 8 = 8 + v - 8

v = - 16

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Can someone help me with this question? Thanks.

Answers

Answer:

5 pounds I think hope this helped :)

what is the volume of a circle with a diameter of 2 inches

Answers

Answer:

Volume = 4  πr3 3=  4 ×π×43 3

=  268.08257310633 feet3

Step-by-step explanation: I really hope this helps please let me know if i am wrong hope u have a good day (:


I need help badly please help

Answers

Step-by-step explanation:

these are the answers. ignore the scribbles :)

Heidi and Dan signed up for a cell phone plan with a brand new company called Bolt.

The price for 30 gigabytes of data and unlimited talk and text is $55.

Each phone costs $19 per month.

Taxes are $9.50 per month.

What is the cost for their current plan?

Answers

The cost for their current plan is $83.5

How to write and solve the cost for their current plan?

The given parameters are

Price for 30 gigabytes of data and unlimited talk and text = $55.

Phone costs = $19 per month.

Taxes =  $9.50 per month.

The equation of the cost for their current plan is represented as:

Total cost = Price for 30 gigabytes of data and unlimited talk and text + Phone costs + Taxes

So, we have

Total cost = 55 + 19 + 9.50

Evaluate the sum

Total cost = 83.5

Hence, the cost for their current plan is $83.5

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Convert 30 kilograms into gram

Answers

multiply the mass value by 1000. the answer is 30000

the normal model n(58,21) describes the distribution of weights of chicken eggs in grams. suppose that the weight of a randomly selected chicken egg has a z-score of -2.01. what is the weight of this egg in grams? round to the nearest hundredth of a gram.

Answers

The weight of the egg is 15.79 grams.

Normal Distribution:

Normal distribution, refers the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given,

The normal model n(58,21) describes the distribution of weights of chicken eggs in grams.

suppose that the weight of a randomly selected chicken egg has a z-score of -2.01.

Here we need to find the weight of the egg and we have to round off it to the nearest hundredth of gram.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

So,

X ~ n(58, 21)

Where this means the value of

σ =  21

[tex]\mu[/tex] = 58

Apply the values on the formula,

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

=> -2.01 = (x - 58) / 21

=> -2.01 x 21 = x - 58

=> -42.21 + 58 = x

=> x = 15.79

So, the weight of the egg is 15.79 grams.

When we round off it to the nearest hundredth then we get,

=> 15.79

Because there is no hundredth term in this one.

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Solve for X I need help please

Answers

Answer:

15

Step-by-step explanation:

The plane is 180 degrees, all you need to do is subtract 60 then divide the answer by 8.

(180-60)/8=15

This is 7th grade math bro

A parallelogram has a base of 3 inches and a height of 7 inches. What is its area?

Answers

Answer:

21 cm square

Step-by-step explanation:

Base x Height = Area

Area = 3 x 7 = 21 cm square.

find the domain rang and function

Answers

Answer:1,1 0

Step-by-step explanation:

Is the question ''how many cars were sold each day this month'' statistical or not?

Answers

Yes it is because you would need to get data in order to find out how many cars were sold

what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.

Answers

The area of a triangle with the given set of vertices is 12 square units, which is obtained using the concepts of coordinate geometry and the area of triangles.

What is the area of a triangle?

The area of a triangle is defined as the total region bounded by the three sides of a triangle. For a right-angled triangle, the area is given by ½ * (base * height).

Calculation of the area of the given triangle

Given:

P(7,6), Q(1,6), R(4,2) be the three vertices of a triangle PQR

Let PQ be the base parallel to the x-axis

b = 7 - 1 = 6

And altitude is the difference of y coordinates of the point Q and R, h = 6 - 2 = 4

The area of triangle PQR is equal to half the product of base and height

Area = (6 × 4) / 2

        = 24 / 2

        = 12 square units

Hence, the area of the triangle with given vertices is 12 square units.

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The diameter of a circle is 30 ft. Find its area to the nearest whole number

Answers

Answer:

use air math it helps alot!

Step-by-step explanation:

write an equation of the line containing the given point and parallel to the given line. express your answer in the form ymxb. ​(​,​); xy

Answers

Answer:

cool cool

Step-by-step explanation:

cool

Awnser oooooopppndhdhdh

Answers

Answer:

x<212

Step-by-step explanation:

Because < means that x is less than 212

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