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


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

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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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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?

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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A number is written with a base and an exponent. What is
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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.

Therefore, the answer will be exponent.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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(4v³w)(-2w³)² in simplest form​

Answers

Answer:

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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)

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Answers

The answer is A!

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

9

Step-by-step explanation:

use the distance formula:

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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

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

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

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

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

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Answers

Answer:

$9.95

Step-by-step explanation:

$238.80 ÷ 24 = $9.95

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24 ⇾ The number of boxed lunches bought.

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✨Hope this helps✨

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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:

-6.5 x 2 x -5

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Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

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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

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)

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Let :

Number of dimes = d

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

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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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Answers

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Step-by-step explanation:

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

Answer:

x-value

Step-by-step explanation:

2x2+ 5x -4 = 0
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Answers

Answer:

Step-by-step explanation:

value of discriminant:

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2 solutions also mean there are 2 x-intercepts.

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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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I think you can search it up


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Answer:

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