Cups cost x dollars each. Mugs cost (x + 2) dollars each. (a) Write down an expression, in terms of x, for the total cost of 12 cups and 6 mugs. ............................................................................... dollars (2) (b) The total cost of 12 cups and 6 mugs is 57 dolllars.
work out the cost of 1 cup

Answers

Answer 1

Answer:

a. [tex]18x + 12[/tex]

b. $2.50

Step-by-step explanation:

a. If there are 12 cups and 6 mugs, and one cup is x and 1 mug is x+2, then multiply to get 18x + 12

b. Use the previous equation 18x+12=57 to get your answer. First move the 12 over to change the 57 to a 45. Then divide 45/18 to get 2.50 as you answer.


Related Questions

One factory needs 6 buttons to make 1 witch costume. Fill in the rate table to determine how many witch costumes the factory can make with 18, 42, 66, or 84 buttons

Answers

Answer:

The factory can make 3 witch costume from 18 buttons

The factory can make 7 witch costume from 42 buttons

The factory can make 11 witch costume from 66 buttons

The factory can make 14 witch costume from 84 buttons

Step-by-step explanation:

Let us use the ratio method to complete the table

∵ A factory needs 6 buttons to make 1 witch costume

∵ There are 18 buttons

→ Find how many witch costume can make from them

→ Buttons → costume

→  6           →  1

→  18          →  x

→ By using cross multiplication

∵ x × 6 = 18 × 1

∴ 6x = 18

→ Divide both sides by 6

∴ x = 3

The factory can make 3 witch costume from 18 buttons

Use the same way to find the rest

∵ There are 42 buttons

→ Buttons → costume

→  6           →  1

→  42         →  x

→ By using cross multiplication

∵ x × 6 = 42 × 1

∴ 6x = 42

→ Divide both sides by 6

∴ x = 7

The factory can make 7 witch costume from 42 buttons

∵ There are 66 buttons

→ Buttons → costume

→  6           →  1

→  66         →  x

→ By using cross multiplication

∵ x × 6 = 66 × 1

∴ 6x = 66

→ Divide both sides by 6

∴ x = 11

The factory can make 11 witch costume from 66 buttons

∵ There are 84 buttons

→ Buttons → costume

→  6           →  1

→  84         →  x

→ By using cross multiplication

∵ x × 6 = 84 × 1

∴ 6x = 84

→ Divide both sides by 6

∴ x = 14

The factory can make 14 witch costume from 84 buttons

Jaunice is redecorating her room. She wants to paint a design on a rectangular section of her wall That is at least 76.5 ft.². The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall

Answers

Answer: 9 feet

Step-by-step explanation:

The minimum length of the design Jaunice will paint on the wall is 9 feet.

It is required to find the the minimum length.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape

Given:

Area of rectangular section of her wall =76.5 ft.²

Height of the design = 8.5 feet.

We know that

Area of rectangle=length*breadth

Area = l*h

76.5   =8.5*l

l=76.5/8.5

l= 9 feet.

Therefore, the minimum length of the design Jaunice will paint on the wall is 9 feet.

Learn more about rectangle here:

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Please find the rise over run and draw the line i’m so confused right now.

Answers

Answer:

4/3

Step-by-step explanation:

rise is how many point up it is to the next coordinates, and run is how many points over (think of rising up and running over). rise/run makes the slope.

hopefully this helps! plz consider brainliest! :)

p.s. i put dashes to help count how many points it is from point A to point B

PLEASE HELP ITS DUE TODAY!

question: Zayn has 5 more than three times the number of stickers that cleo has. Cleo has 25 fewer stickers than zayn. WRITE THE SYSTEMS OF EQUATION TO REPRESENT THIS SITUATION. explain what the solution means

Answers

Answer:

Solutions:

Z = 35

C = 10

Systems of Equations:

Z = 3C + 5

C = Z - 25

Step-by-step explanation:

Z will be for Zayn and C will be for Cleo.

Z = 3C + 5

C = Z - 25

These are the systems of equations. To solve, plug one of the equations into their respected variable.

Z = 3(Z - 25) + 5

Z = 3Z - 20

20 = 2Z

Z = 10

C = 3C + 5 - 25

-2C = -20

C = 10

This proves that these equations are correct. To find the final solution, plug 10 into Z to find Zayn's amount , then plug the amount that was for Zayn into C to find Cleo's amount.

Z = 3(10) + 5

Z = 35

C = 35 - 25

C = 10

James has a jar full of just pennies and nickels. The ratio of pennies to nickels is 8 to 3. Which of the following is the ratio of nickels to the number of all the coins?

(1) 3 to 11 (3) 3 to 8
(2) 5 to 8 (4) 8 to 11

Answers

Answer:

(1) 3 to 11

Step-by-step explanation:

Ratio of pennies to nickels is 8 to 3.

Pennies : nickels = 8 : 3

Pennies = 8

Nickels = 3

Total coins = pennies + nickels

= 8 + 3

= 11

Which of the following is the ratio of nickels to the number of all the coins?

Nickels : Total coins = 3 : 11

Or

= 3 / 11

Or

3 to 11

The correct answer is (1) 3 to 11

12 1/3 square feet in 1/5 of an hour. How many square feet can she paint in one hour

Answers

Answer:

30 5/6 square feet

Step-by-step explanation:

Answer:

30 5/6 square feet

Step-by-step explanation:

First you need to know how much she can paint in 1/5 hour. So you're going to be dividing mixed numbers. To do that you need to make 12 1/3 a fraction:

12*3=36

36+1=37

12 1/3= 37/3

Divide by 2. With fractions you flip the second and multiply

37/3 ÷ 2/1 = 37/3 *1/2

Multiply top by top bottom by bottom

37*1=37

3*2=6

37/6 is what she can paint in 1/5 hour

Now you need to multiply that by 5 (5/5= 1 which means a full hour)

So we use 5/1 to multiply by 5 in fraction form.

37/6 * 5/1

37*5=185

6*1=6

Now simplify (turn it back into a mixed number)

185/6= 185÷6

30 with a remainder of 5

14.
Which of the following patterns shows infinite sequence?
A) 6, 12, 18, 24, 30
C) First 20 whole numbers
B) English Alphabets
D) 100, 50, 25, 12.5....

Answers

Answer: D

The fourth option (D) has an elipsis (...).

This means there is more to the sequence.

So, the answer to the question is option D.

Hope this helps!

The answer is D._________

will give brainliest

Answers

Answer:

first quadrant

Step-by-step explanation:

first quadrant because yes

Does anyone know the answer to all of these?

Answers

Answer:

On the screenshot

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

If (x^2 2 x 1) is singular and (x 2x 3x 4x) is non-singular, find the value of x.

Answers

I assume you're talking about two square matrices,

[tex]A=\begin{bmatrix}x^2&2\\x&1\end{bmatrix}[/tex]

and

[tex]B=\begin{bmatrix}x&2x\\3x&4x\end{bmatrix}[/tex]

If A is singular, then its determinant is 0:

[tex]\det A=x^2-2x=x(x-2)=0\implies x=0\text{ or }x=2[/tex]

B is not singular, so its determinant is not 0:

[tex]\det B=4x^2-6x^2=-2x^2\neq0[/tex]

This tells you x ≠ 0, so x = 2.

Victor borrowed $21 .50 from his mother to go to a theater. A week later, he paid her $21 .50 back. How much does he still owe her?

Answers

$ 0.00

Step-by-step explanation:

$ 21.50 - $21.50 = 0.00

Answer:

Nothing

Step-by-step explanation:

21.50 - 21.50 = 0

Are you sure you put this question right?  If so, good luck!  <3

1 Find the median of the following.
a. 3, 6, 7, 4, 5, 9, 8, 9,7​

Answers

Answer:

6.4 repeating

Step-by-step explanation:

3 + 6 + 7 + 4 + 5 + 9 + 8 + 9 + 7 = 58

58 ÷ 9 = 6.4444 (and so on)

YOOO I NEED BIG HELP CAUSE IM DUMB AND QUICK PLEASEEEEEEEEE

Answers

Answer:

I and iii

Step-by-step explanation:

because I know yup yuppy yup

Answer:

i, ii and iii

Step-by-step explanation:

Luis purchased a laptop computer that was marked down by
[tex] \frac{2}{5} [/tex]
of the original price. What fractional part of the original price did Luis pay?​

Answers

Answer:

Luis paid 3/5 of the original price

Step-by-step explanation:

Luis purchased a laptop with a fractional discount of 2/5 of the original price.

When dealing with fractional parts of a whole, the sum of all parts must equal 1. With this in mind, we can say:

Paid price + Discount price = Original price

Or, equivalently:

paid fraction + discount fraction = 1

From the above relation, it follows that:

paid fraction = 1 - discount fraction

[tex]\displaystyle \text{paid fraction }=1-\frac{2}{5}[/tex]

[tex]\displaystyle \text{paid fraction }=\frac{5-2}{5}[/tex]

[tex]\displaystyle \text{paid fraction }=\frac{3}{5}[/tex]

Luis paid 3/5 of the original price

PLEASE HELP ASAP!!!!!

Answers

Answer:

9<✓88<10

Step-by-step explanation:

✓88 = 9.38083

True or False. If false, explain why it's false.

“Equivalent fractions are ones that use the same numbers, like 1/2 and 1/2.”

Answers

ANSWER:

False

EXPLAIN:

Equivalent fractions can come in various different forms and can even have different numbers. Therefore, equivalent fractions are not just the ones with the same numbers.

Answer:

False

Step-by-step explanation:

Equivalent fractions to 1/2 would be 2/4 5/10 and 50/100.

Traduce a lenguaje algebraico los siguientes enunciados. 1. La diferencia del triple de un número y otro 2. La suma de un número con el triple de la diferencia de otro y cinco 3. La quinta parte de la adición del doble de un número con diez 4. El producto de un número por siete, disminuido en dos: 5. El cociente de un número y 3 es igual a 18 6. La edad de Esteban es el doble de la de su hermano Martin aumentada en 3 la suma de las edades de Esteban y Martin es 30 años

Answers

Answer:

(1) La traducción algebraica de la oración es [tex]z = 3\cdot x - y[/tex].

(2) La traducción algebraica de la oración es [tex]z=x+3\cdot (y-5)[/tex].

(3) La traducción algebraica de la oración es [tex]z = \frac{2\cdot +10}{5}[/tex].

(4) La traducción algebraca de la oración es [tex]z = 7\cdot x -2[/tex].

(5) La traducción algebraica de la oración es [tex]\frac{x}{3} = 18[/tex].

(6) La traducción algebraica de la oración es [tex]x =2\cdot (y+3)[/tex], [tex]x+y = 30[/tex].

Step-by-step explanation:

Explicamos el procedimiento de este ejercicio a continuación:

1) Leer cuidadosamente la oración.

2) Ir traduciendo a términos algebraico a medida que se avanza en la lectura.

(1) Presentamos el desarrollo y la conclusión de este caso:

(i) La diferencia:

[tex]z = (\,\,\,\,)-(\,\,\,\,)[/tex]

(ii) La diferencia del triple de un número y:

[tex]z = 3\cdot x - (\,\,\,\,)[/tex]

(iii) La diferencia del triple de un número y otro:

[tex]z = 3\cdot x - y[/tex]

La traducción algebraica de la oración es [tex]z = 3\cdot x - y[/tex].

(2) Presentamos el desarrollo y la conclusión de este caso:

(i) La suma:

[tex]z = (\,\,\,\,)+(\,\,\,\,)[/tex]

(ii) La suma de un número y:

[tex]z = x +(\,\,\,\,)[/tex]

(iii) La suma de un número y con el triple de:

[tex]z = x + 3\cdot (\,\,\,\,)[/tex]

(iv) La suma de un número y con el triple de la diferencia de otro y cinco:

[tex]z=x+3\cdot (y-5)[/tex]

La traducción algebraica de la oración es [tex]z=x+3\cdot (y-5)[/tex].

(3) Presentamos el desarrollo y la conclusión de este caso:

(i) La quinta parte de:

[tex]z = \frac{(\,\,\,\,)}{5}[/tex]

(ii) La quinta parte de la adición del doble de un número con diez:

[tex]z = \frac{2\cdot +10}{5}[/tex]

La traducción algebraica de la oración es [tex]z = \frac{2\cdot +10}{5}[/tex].

(4) Presentamos el desarrollo y la conclusión de este caso:

(i) El producto de:

[tex]z = (\,\,\,\,)\cdot(\,\,\,\,)[/tex]

(ii) El producto de un número por siete,:

[tex]z = 7\cdot x[/tex]

(iii) El producto de un número por siete, disminuido en dos:

[tex]z = 7\cdot x -2[/tex]

La traducción algebraca de la oración es [tex]z = 7\cdot x -2[/tex].

(5) Presentamos el desarrollo y la conclusión de este caso:

(i) El cociente de:

[tex]z = \frac{(\,\,\,\,)}{(\,\,\,\,)}[/tex]

(ii) El cociente de un número y 3:

[tex]z = \frac{x}{3}[/tex]

(iii) El cociente de un número y 3 es igual a 18:

[tex]z = 18[/tex]

[tex]\frac{x}{3} = 18[/tex]

La traducción algebraica de la oración es [tex]\frac{x}{3} = 18[/tex].

(6) Presentamos el desarrollo y la conclusión de este caso:

(i) La edad de Esteban:

[tex]x[/tex]

(ii) La edad de Esteban es el doble de:

[tex]x = 2\cdot (\,\,\,\,)[/tex]

(iii) La edad de Esteban es el doble de la de su hermano Martín aumentada en 3:

[tex]x =2\cdot (y+3)[/tex]

(iv) La edad de Esteban es el doble de la de su hermano Martín aumentada en 3. La suma de las edades de Esteban y Martin es 30 años:

[tex]x =2\cdot (y+3)[/tex]

[tex]x+y = 30[/tex]

La traducción algebraica de la oración es [tex]x =2\cdot (y+3)[/tex], [tex]x+y = 30[/tex].

Suzie, Georgia and Bernadette do a project together. Suzie does 5/18 of the project, Georgia does 2/9 of the project and Bernadette does 1/2 of the project

How much of the project should still be completed? And who do you think should do the last section of the project?

Answers

Answer:

the project has been completed.

Step-by-step explanation:

5/18 +4/18 + 9/18 = 18/18 or 1

so therefore no one has to complete the project, as it has already been completed

plz help me i need this in simplest form or in a decimal

Answers

Answer:

1/1024 or .0009765625

Step-by-step explanation:

1/4 to the third power is 1/64

1/4 to the second power is 1/16

Then multiply 1/64 and 1/16 and get 1/1024 or .0009765625

Hope this helps dude

Answer:

9.765625x^-4

Step-by-step explanation:

1. Convert 1/4 into a decimal Ans:0.25

2. Times 0.25 by the third power (0.25^3) Ans: 1/64 or 0.015625

3. Convert 1/4 into a decimal Ans: 0.25

4. Times 0.25 by the second power (0.25^2) Ans: 1/16 or 0.0625

5. Finally multiply the two decimals (0.015625x0.0625) Ans: 1/1024 or 9.765625x10^-4

You add two fractions with denominators of 4 and 5. What might
the denominator of the sum be? Show more than one possibility.
Use specific fraction examples.

Answers

Answer:

the denominator can be 20 or 40.

Step-by-step explanation:

If the fractions are 3/4 and 6/5

The sum will be (15 +24)/20=39/20.

A square garden has an area of 242 square feet. What is the approximate length of each side of the garden?
60.5 feet
121 feet
15.6 feet
16.5 feet

Answers

It’s 60.5 because 242 divided by 4 is 60.5

Rowan found that 4 out of 28 students in her class bike to school. What is the ratio of students that bike to school to the number of students that do not bike to school?

Answers

Answer:

4:24

Step-by-step explanation:

The ratio of the number of students who bike to school to the number of students that do not bike to school is 1:6.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, 20/5 is the ratio while x ∝ 10 is the proportion.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Total number of students = 28

Number of students that bike to school = 4

So,

A number of students that do not bike to school = Total number of students - Number of students that bike to school.

Number of students that not bike to school = 28 - 4 = 24

So, the ratio of the number of students that bike to school to the number of students that do not bike to school = 4/24 = 1/6.

Hence, The ratio of the number of students that bike to school to the number of students that do not bike to school is 1: 6.

For more information about ratio and proportion

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local income tax defention

Answers

Answer:

Local governments in several states impose a local income tax. Local taxes are in addition to federal and state income taxes. Local income taxes generally apply to people who live or work in the locality. As an employer, you need to pay attention to local taxes where your employees work.

If the local income tax is a withholding tax, then you are required to withhold it from employee wages. Or if the local income tax is an employer tax, you must pay it.

Local income taxes are typically used to fund local programs, such as education, parks, and community improvement.

You have $25 to buy 6 candy bars. Write an inequality that represents the prices you can pay per candy bar.

Answers

Answer:

25 divided by 6

Step-by-step explanation:

having trould with this one could someone help me please?

Answers

Answer:

11√2−5√7 (the first answer)

Answer:

9√2−3√7+√8−√28 = 11√2−5√7

A barbell in the weight room weights 45 pounds. If 1 pound is equal to .45 kg, how many kg is in the barbell?

Answers

Answer:

20.25 kg

Step-by-step explanation:

Set up a proportion, where x is the number of kg in the barbell

[tex]\frac{1}{0.45}[/tex] = [tex]\frac{45}{x}[/tex]

Cross multiply:

x = 45(0.45)

x = 20.25

So, there are 20.25 kg in the barbell

Answer:

the barbell weighs 20.25 kg

Step-by-step explanation:

It's quite easy to find the answer! All you have to do is multiply .45 kg by 45!

so the equation would be:

0.45 x 45 = 20.25

hope this helps you!! <3

Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the graph below.


On a coordinate plane, a line goes through points (negative 1, negative 1) and (0, 1).


Which statement is correct regarding their slopes and y-intercepts?
The function that is represented by the equation has a steeper slope and a greater y-intercept.
The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
The function that is represented by the graph has a steeper slope and a greater y-intercept.

Answers

Answer:I believe the answer is C: The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.

Step-by-step explanation: The Y intercept of the equation is 2 and when I put the 2 graphs side by side the graphs slope looks steeper

the graph has a steeper slope

describe the error in finding the product (big ideas math)

Answers

Answer:

d

Step-by-step explanation:

you have to foil in situations like these, getting you

ksquared +4k+4k+16

2(k)(4) is the same thing as 4k+4k, which is what is missing from the answer

A motorcycle traveled 250 kilometers in five hours. What was its average speed in km/hr?

Answers

50 kilometers per hour
250 km divided by 5 hr = 50 kilometers per hour

Answer:

50mph

Step-by-step explanation:

250km = 5hrs

250km/5hrs = 50km

50km = 1hr

If A CB, then
A.A U B = B
B.A 0 B = 0
C.A0 B = B

Answers

Answer:

AUB = B

Step-by-step explanation:

If A ⊂ B then every element of A is also in B.

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