Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.75 and each cup of hot chocolate costs $1.00. If he pays a total of $14.50 for 10 cups, how many of each does he buy?

Answers

Answer 1

Answer:

6 cups of coffee

4 cups of hot chocolate

Step-by-step explanation:

x=number of cups of coffee

y=number of cups of hot chocolate

1.75x+1y=14.5

x+y=10    y=10-x

substitute for y

1.75x+10-x=14.5

0.75x=4.5

x=6

y=10-6=4


Related Questions

I need the answer key for mid chapter check point grade 5 chap 7!! ASAP

Answers

Answer:

3/8

Step-by-step explanation:

1/2 x 3/4 = 3/8

You multiply the top by the number beside it and do the same for the bottom.

Alonzo has completed 44 Deliveries so far this week he needs to make 55 deliveries for the week what percentage of his delivery has Alonzo completed?80%

Answers

Answer:

80%

Step-by-step explanation:

Find 44/55 and multiply the result by 100%:  (0.8)(100%) = 80% (completed)

Help me please number 5

Answers

Answer:

a. Equations:

Sammy's Spa: y = 350Shape Up!: y = 20x + 150

b. The graph is attached

c. When number of exercises is no more than 10. This point is the intersection of the lines (10, 350)

Suppose the band is raising money to help offset the cost of a trip. You
make $10 off of each box of oranges sold and $15 off of each box of
grapefruit sold. The band wants to raise at least $500.00. Write an
inequality to represent this situation.

Answers

Answer:

y-step explanation:

Answer:

10o + 15g ≥ 500

Step-by-step explanation:

Variables:

O = oranges

G = grapefruit

10 boxes of oranges (10o) and 15 boxes of grapefruit (15g) are being added together (10o + 15g). The band wants to raise AT LEAST (greater than or equal to ≥) $500.00.

Put that together, and it's:

10o + 15g ≥ 500

the product of 2x^3 and 6x^5 is ?
Option Of Answers are
1. 10x^8
2. 12x^8
3.10x^15
4. 12x^15

Answers

Answer:

[tex]12x^{8}[/tex]

Step-by-step explanation:

Calculate the coefficient by multiplying the numbers:

2 x 6 = 12

Calculate the exponents by adding the numbers:

5 + 3 = 8

Therefore, the coefficient is 12 and the exponent is 8. You get,

[tex]2x^{3} .6x^{5}=12x^{8}[/tex]

How many apples, each of which weighs 2 ounces, are needed to balance three 2-pound weights? Do this problem carefully.​

Answers

Answer:

48

Step-by-step explanation:

3x32=96

96/2=48

Two buses are traveling the same route toward a hotel. Bus 1 travels at a rate of 55 miles per hour This is bus two:
which bus is traveling at a higher rate of speed? explain how you know​

Answers

Answer:

Bus 1 is traveling faster.

Step-by-step explanation:

The information provided states that Bus 1 travels at 55 miles per hour. The graph shows that Bus 2 travels less than 50 miles per hour. This shows that Bus 1 travels more miles per hour.

Hope it helps!


pleasee help this is due today I'll give brainliest






If a rectangle's area is 3 15/16 width square feet and its length is 1 1/8 feet. What is the width​

Answers

Answer:

3.5 or 3 and 1/2

Step-by-step explanation:

3 and 15/16 / 1 and 1/8

Write the equation of a line that is parallel to y= -7x+5 and passes through the point (0,6)

Answers

Answer:

The answer is y = - 7x + 6

Step-by-step explanation:

A parallel line will have the same slope and since the point that is given is a y intercept, you just plug in -7x + 6 to get your parallel equation

Answer: The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get Therefore, the value of is 36, when b=5.

Answers

7=36a%4ahhggyuuuhgfdfyyytg

What is the greatest common factor of 42 and 50?

Answers

Answer:

2 is the gcf of 42 and 50

The greatest common factor of 42 and 50 is: 2

How to find the Greatest common factor?

The greatest common factor, the name implies, is the greatest among all common factors among the quantities.

We have to factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves) and collect as many common factors as we could.

Those will together compose GCF.

Take out the factors of the numbers given:

42: 1, 2, 3, 6, 7, 14, 21, 42

50: 1, 2, 5, 10, 25, 50

The common numbers between the two are 1 and 2, but the greatest number is 2, which becomes the greatest common factor.

Learn more about the greatest common factor here:

https://brainly.com/question/207329

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What is an
equation of the line that passes through the points (-3,7) and (3, 3)?

Answers

Y= -4/6x+5, the y-intercept is 5 and the slope is -4/6 hope this helped :)

Can someone help me? I don’t have much time.

According to the synthetic division below, which of the following statements are true? Check all that apply.

Answers

I'm pretty sure it's D and E...but if I'm wrong sorry.

Which fraction is close to, but less than 1/2?

Answers

Answer:

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3.

Step-by-step explanation:

hope this helps,

Find the geometric mean of 8 and 13.

Answers

Find the factors from the roots, then multiply the factors together.
y
=
x
2

21
x
+
104

Which ordered pair is a solution of the equation?
y = -2x - 5
A (1,7)
B (2,-7)
C Both

Answers

Answer:

A

Step-by-step explanation:

-7=-2(1) -5

1=x

7=y

Answer:

None

Step-by-step explanation:

I think there is another answer option for none.  

-2(1) - 5 = -7

-2(-2) - 5 = -9

Its a if the 7 is -7

12+2(4+2)*3rd power?

Answers

Answer: 444

Step-by-step explanation:

your welcome have a good day! ^-^

Answer:

444

Step-by-step explanation:

12+2(4+2)^3

12+2(6)^3

12+2(216)

12+432

444

40 divided by 28 but I need the answer in decimal form

Answers

Answer:

1.42857142857

Step-by-step explanation:

Answer: 1.428571 what is underlined is what repeats

Step-by-step explanation:

To
357 is what percent of 420?

Answers

Answer:

85

Percentage Calculator: 357 is what percent of 420? = 85.

Answer:

85%

Step-by-step explanation:

357/420 reduces to 17/20 if you divide the numerator and denominator by 21 which is equivalent to .85

Answer if you want a virtual kiss

If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.

Answers

Explanation:

Yes Triangle CMP ~ CQT due to SAS criterion.

CM : CQ is 20 : 12 making it 5 : 3

CP : CT is 35 : 21 making it 5 : 3

The two sides have the same ratio.

Then we have ∠C which is the same in both triangles.

help pleaseeeee!!!!! i stg if no one answers correctly im gonna have another mental breakdown

Answers

Answer:

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

Step-by-step explanation:

To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.

given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴

First, lets arrange like terms together. Put the terms with the same exponent together.

2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now combine the terms with the same exponent by subtracting 5x³ from 2x³.

-3x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now let's arrange the terms from increasing to decreasing powers/exponents.

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

This is your equation in standard form.

Hope this helps!

Will Give Brainliest If You Solve This For Me

Answers

Answer:

for the first equation make it y=2x+2

the second y=2x+-6

Step-by-step explanation:

Answer:

The two equations are y = - [tex]\frac{1}{2}[/tex] x + 1 and y = [tex]\frac{1}{2}[/tex]x + 3

Step-by-step explanation:

x + 2y = 2

2y = - x + 2

y = - [tex]\frac{1}{2}[/tex] x +1

x - 2y = - 6

-2y = - x - 6

2y = x + 6

y = [tex]\frac{1}{2}[/tex] x + 3

To find the population of a city next year, we multiply its current population by 0.987. By what percent does the population decrease per year?

Answers

Answer:

1.3%

Step-by-step explanation:

If we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol. The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages.

Suppose x₁ is the population of the year 1. As a result of the given condition the population of a city next year,x₂ is

x₂=0.987 x₁

The decrement in the percentage is found by the following formula,

% r = x₁-x₂/x₂

% r =x₁-0.987x₁/0.987x₁

% r =1.3 %

Thus, if we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

Learn more about the percentage here:

brainly.com/question/8011401

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5x+8=2x -13 ?
i need help please

Answers

Answer:

x=-7

Step-by-step explanation:

Alrighty. 5x+8=2x-13. Lets do -2x on both sides. We'll get 3x+8=-13. Then lets subtract 8 from both sides. We'll get 3x=-21. Divide by 3 and we'll get x=-7. Hope that makes sense.

Answer:

i think the answer is 7

Step-by-step explanation:

Someone please help me with this I REALLY NEED HELP ILL GIVE U BRAINLY IF U GET IT RIGHT

Answers

A is the correct answer.

Answer:

A

Step-by-step explanation:

Sheri sells 10 tickets every two hours

We plug two hours into Tim's equation --> t=5(2)

t=10

So, in two hours, Tim sells 10 tickets

2000x 41- 3026555987623

Answers

Answer:

-3.026555905623

Step-by-step explanation:

.....

п
What is the value of p in the proportion below?
20
Б
20
р
12
2
10
Оооо
40
72

Answers

Answer:

p = 40

Step-by-step explanation:

20/6 = p/12

20 × 12 = 6 × p

240 = 6p

p = 240/6

p = 40

Gym A: $10 joining fee and $20 monthly fee.
Gym B: $25 joining fee and $5 monthly fee.
Enter the number of months it will take for the total cost for both gyms to be equal.

Answers

Answer:

1 month

Step-by-step explanation:

gym As total for the first month is $30. (joining fee plus monthly fee)

gym bs total for the first month is also $30. (joining fee plus monthly fee)

Find the measure of angle 1



hurry

Answers

Answer:

112 degrees

Step-by-step explanation:

This is a quadrilateral, meaning 4 sides. The sum of the angles of a quadrilateral is 360 degrees. You are given the right angle, or 90 degrees, and the 46 degree angle at the bottom. Since the two lines on either side of the 46 degree angle represent parallelism, angles 1 and 2 are the same.

360 - (90+46) = 224.

224 / 2 = 112.

Answer:

[tex]m∠1 = 112[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠2[/tex]

[tex]m∠1 + m∠2 + 90 + 46 = 360[/tex]

[tex]m∠1 +m ∠2 + 136 = 360[/tex]

[tex]m∠1 + m∠2 = 360 - 136[/tex]

[tex]m∠1 + m∠2 = 224[/tex]

[tex]m∠1 = \frac{224}{2} [/tex]

[tex]m∠1 = 112[/tex]

[tex]m∠2 = \frac{224}{2} [/tex]

[tex]m∠2 =112[/tex]

cashews cost $5.00 a pound and pecans cost $7.00 per pound. Julie bought a 3 pound mixture of cashews and pecans for $19. How many pounds of each were in the mixture ?

Answers

I think the person above me is correct
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