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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The place where the line or curve crosses, or touches, the x axis

The place where a line or gurve crosses, or touches, the y axis

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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.


Consider the sequence –8, –4, 0, 4, 8, 12, …. Select True or False

An explicit rule for the sequence is

f (n) = -8 + 4(n - 1)


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false

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This is True.
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a = the first term in the sequence
d = the difference between each term
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x = 9 because since they’re corresponding angles they would equal the same length so 11x -47 = 6x -2 and you add 47 to the opposite side so it would be 11x=6x + 45 and then do the same for 6x which would now be 5x=45 and then you divide 5 from both sides which equals 9

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Answer:

1. lines B and C are congruent

2. lines M and N are congruent

3.  Lines A and C are congruent ?

4.  Angle 1: 76   Angle 2: 61

Step-by-step explanation:

Find the distance between the points (-3,7)
and
(6, 7).

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!

[note that when you have the square root of a squared number, it is just the number, so the square root of 9 squared is just 9, but if it helps, you can work it out like I did to show you :)]

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:

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

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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A recipe for a casserole calls for 1 cup of milk. If a chef currently has 0.5 gallons of milk, how many casseroles can the chef make?

Answers

Answer:

5

Step-by-step explanation:

Which of the following is a solution to the equation
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A) - 1
B) 0
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Answers

The answer is 3 and 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:

122212i3jewfc ndskja cyas queen

3. What is the solution set of the equation 3x + 5) = x + 2?

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.

Which term does not represent the same data as the others?

range
output
x-value
second element

Answers

Answer: x-value

Step-by-step explanation:

the x-value is the input, domain and 1st element.

Answer:

x-value

Step-by-step explanation:

A number is written with a base and an exponent. What is
another name for the exponent?
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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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The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

Given;

A number is written with a base and an exponent

Now,

n exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself and exponent is also called index or power.

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Answers

Answer:

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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.

24 ⇾ The number of boxed lunches bought.

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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.

2×3 = 6:

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.

1 + 6 = 7:

4×4 v^3 w^7

Hint: | Multiply 4 and 4 together.

4×4 = 16:

Answer: 16 v^3 w^7

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I think total area=36

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Step-by-step explanation:

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Answers

Answer:

the answer 117

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.

Step 1: Divide 234 by 2.

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

Therefore, 234 divided by 2 is 117. Division is the inverse operation of multiplication, and in this case, we find that 234 is evenly divisible by 2, resulting in a whole number quotient of 117.

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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:

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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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0
35
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Answers

35 is the difference! 35, 70, 105, 140, 175.

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

N + 2d =1
This is the system of equations because it is 2 times more than nickels

The system of equations which can be used to model the scenario are :

n = 2d _____________(1)

0.05n + 0.10d = 1 _____(2)

Let :

Number of dimes = d

Number of nickels = n

Number of nickels = 2 × number of dimes

n = 2d - - - - - (1)

Worth of nickels and dimes:

A dime = $0.10A nickel = $0.05

The total worth of nickel and dimes can be expressed thus :

(Worth per nickel × number of nickels) + (worth per dime × number of dimes)

(0.05 × n) + (0.10 × d) = 0.05n + 0.10d = 1

Therefore, the systems of equation required are :

n = 2d _____________(1)0.05n + 0.10d = 1 _____(2)

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

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I think you can search it up

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Step-by-step explanation:

2x2+ 5x -4 = 0
• _Value of the Discriminant:
• Number of Solutions:
• Number of x-intercepts:
• Type of Solutions:

Answers

Answer:

Step-by-step explanation:

value of discriminant:

[tex]5^{2} - 4 (2)(-4)\\=25+32\\=57\\[/tex]

As the value of discriminant is larger than zero, so there are 2 distinct solutions.

2 solutions also mean there are 2 x-intercepts.

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Answers

Answer:

-65

Step-by-step explanation:

6.5*2*-5=-65

Answer:

65

Step-by-step explanation:

-6.5 x 2 x -5

-6.5 x 2

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Answer:

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Step-by-step explanation:

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