Each morning Soriano buys coffee and donut holes for his employees and clients. The following system represents the amount of coffee and donut holes bought this morning and the amount of money that he spent (in dollars). In the system, represents the number of cups of coffee that he bought and the number of cups of donut holes that he bought.

c+d=60

2.5+1.75=123.75

Part A: How many cups of coffee and donut holes did Soriano buy this morning?

Part B: How much does each cup of coffee cost?

Part C: How much does each cup of donut holes cost?

Part D: How much did Soriano spend in coffee and donut holes?

Part E: Use the elimination method to solve the system and determine the number of cups of coffee and donut holes that Soriano bought this morning.

Answers

Answer 1

Answer:

Part A: 60

Part B: Each cup of coffee costs 2.5 dollars

Part C: Each donut costs 1.75 dollars

Part D: Sonario spent 123.75 dollars in coffee and donut holes

Part E: The number of cups of coffee bought are 25 cups of coffee

The number of donut holes bought are 35 donut holes

Step-by-step explanation:

The given parameters are;

c + d = 60

2.5 × c + 1.75 × d = 123.75

Part A

Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60

Part B:

From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item

Therefore, each cup of coffee costs 2.5 dollars

Part C:

Using the method from above, each donut costs 1.75 dollars

Part D:

From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes

Part E:

By the elimination method, we have;

c + d = 60

∴ c = 60 - d

Eliminating c in the equation for the total cost gives;

2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75

150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75

150 - 123.75 = 0.75·d

26.25 = 0.75·d

d = 26.25/0.78 = 35

d = 35

c = 60 - d = 60 - 35 = 25

c = 25

∴ c = The number of cups of coffee bought = 25 cups of coffee

d = The number of donut holes bought = 35 donut holes


Related Questions

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Answer:

it is 7

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

the solution set of 3x+5=x+2 is x=-1. This is because you want to get the variables on one side and the numbers on the other. you subtract x on both sides and subtract 5 on both sides. your equation then becomes 3x=-3. you then divide 3 on both sides and you get your answer of x=-1.

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Answers

Answer:

B

Step-by-step explanation:

It appears to be B because this quadratic function faces down (-ax^2) and the vertex or highest point of this function is when x=1. Thus, the interval of the domain that the function increases must be from negative infinity to 1, giving the answer B.

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Answer:

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Step-by-step explanation:

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A company orders 24 boxed lunches from a deli for $238.80. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?

Answers

Answer:

$9.95

Step-by-step explanation:

$238.80 ÷ 24 = $9.95

$238.80 ⇾ The final cost of boxed lunches altogether.

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(4v³w)(-2w³)² in simplest form​

Answers

Answer:

16 v^3 w^7

Step-by-step explanation:

Simplify the following:

4 v^3 w (-2 w^3)^2

Hint: | Distribute exponents over products in (-2 w^3)^2.

Multiply each exponent in -2 w^3 by 2:

4 v^3 w×(-2)^2 w^(2×3)

Hint: | Multiply 2 and 3 together.

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4×(-2)^2 v^3 w w^6

Hint: | Evaluate (-2)^2.

(-2)^2 = 4:

4×4 v^3 w w^6

Hint: | Combine products of like terms.

4 v^3 w×4 w^6 = 4×4 v^3 w^(1 + 6):

4×4 v^3 w^(1 + 6)

Hint: | Evaluate 1 + 6.

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4×4 v^3 w^7

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Which behavior would be unethical
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Answers

a hotel offers discount rates in the off season so the answer is C.

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

9

Step-by-step explanation:

use the distance formula:

[tex]\sqrt{(x2 -x1)^{2} + (y2-y1)^{2} }[/tex]

so, with your two points, x2=6, x1=-3, y2=7, and y1=7

so then just plug in the values

[tex]\sqrt{(6--3)^{2} + (7-7)^{2} }[/tex]

because you have 6 minus a negative number, it turns into 6+3, like shown

[tex]\sqrt{(6+3)^{2} + (7-7)^{2} }[/tex]

so then add and subtract the parenthesis

[tex]\sqrt{(9)^{2} + (0)^{2} }[/tex]

so then because 0 squared is just zero, you simply have the square root of 9 squared

[tex]\sqrt{9^{2} }[/tex]

so then square the 9

[tex]\sqrt{81}[/tex]

then take the square root of 81, and you get 9!

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The distance between the points (-3, 7) and (6, 7) is 9.

What is the distance between two points of a line?

The distance between two points of a line is given as:

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Where (a, b) and (c, d) are the two points.

We have,

(-3, 7) = (a, b)

(6, 7) = (c , d)

Now,

Distance between these two points.

= [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

= √(6 + 3)² + (7 - 7)²

= √9²

= 9

Thus,

The distance between the points is 9.

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Answers

Answer:

Step-by-step explanation:

value of discriminant:

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What is the equation of a line that passes through the point (-7,-8) and parallel to y=5/7x-5.

Answers

Answer:

The equation of the line that passes through the point (-7, -8) and parallel to the given line is y = 5/7·x - 3

Step-by-step explanation:

The coordinates of the point the line passes = (-7, -8)

The equation of the line the required line is parallel to is y = 5/7·x - 5

The slope of of the given line is therefore in slope and intercept form with the slope = 5/7 and the y-intercept = -5

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Answer:

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Step-by-step explanation:

The 234 divided by 2 is 117.

To calculate 234 divided by 2, we perform the division operation step by step.

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234 ÷ 2 = 117

The result of 234 divided by 2 is 117. When you divide 234 by 2, you are essentially dividing 234 into two equal parts. Each part contains 117. This can be confirmed by performing the calculation:

234 ÷ 2 = 117

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

x-value

Step-by-step explanation:

Sadie has $1 worth of nickels and dimes. She has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Sadie has. Define the variables that you use to write the system.

Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

This Is Where The Coordinates Of M Are IN the Graph. Hope This Helps! Please Rate Brainiest!

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Answers

Answer:

power

Step-by-step explanation:

The another name for the exponent is power, the correct option is D.

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Step-by-step explanation:

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Answers

The answer is A!

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Answers

Answer:

Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.

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Answers

Answer:

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Step-by-step explanation:

6.5*2*-5=-65

Answer:

65

Step-by-step explanation:

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