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

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.

Learn more about distance of a line here:

https://brainly.com/question/14645718

#SPJ2

Function k is a continuous quadratic function that includes the ordered pairs shown in the table.
Over which interval of the domain is the function increasing?
i didnt mean to click B btw

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.

20 points question is in the pic pls hurry will also brainliest

Answers

Answer:

( 1 , 4 )

Step-by-step explanation:

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

-Aslina

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:

need helps fasgt plss

Answers

Answer:

I think total area=36

Step-by-step explanation:

By finding ar. of all 4 triangles separately by the formula 1/2×base×height

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)

Learn more : https://brainly.com/question/15165519

Find the missing side

Answers

Answer:

its E 21

Step-by-step explanation:


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)


true
false

Answers

This is True.
f (n) = a+ d(n-1)
a = the first term in the sequence
d = the difference between each term
Hope this helps :)

EMERGENCY! Please give me the correct answer!​

Answers

Answer: 1/2 x 1/2 x 1/2 x 1/2

Step-by-step explanation:

how many moles is 264.06 grams of carbon dioxide?

Answers

I think you can search it up


You're saying 5/6 + 7/8 has the greatest possible value.

How do you know for sure?


Plz help me

Answers

Answer:

yes you are saying 5-9-16 is greatest possible value but how can you show it please help me I am also

what is 234 divided by 2 pls help me

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.

To know more about divided:

https://brainly.com/question/15381501


#SPJ6

Which of the following is a solution to the equation
2x² + 4x=3+3x² ?
A) - 1
B) 0
C) 3
D) 6

Answers

The answer is 3 and 1

9. When graphing, what does the y intercept describe? *

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

O I don't know.

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.

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

The slope of a line parallel to another line are equal, therefore the slope of the required line = The slope of the given line = 5/7

The equation of the required line in point slope form is therefore;

y - (-8) = 5/7 × (x - (-7))

y + 8 = 5/7 × x + 5/7 × 7

y + 8 = 5/7 × x + 5

∴ y = 5/7 × x + 5 - 8 = 5/7 × x - 3

y = 5/7 × x - 3

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

(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

Which behavior would be unethical
A a regular hotel receives his favorite window table even though another reserved it
B a hotel has overbooked and made alternate for some of their confirmed guest
C a hotel offers discount rates in the off season
D a hotel offers different rates to corporate guest and individuals

Answers

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

Can someone please help me?

Answers

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:

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.

$9.95 ⇾ The unit price of boxed lunches after dividing the final cost($238.80) by the amount bought(24).  

Hope this wasn't confusing. o(^▽^)o

✨Hope this helps✨

Can anyone help me with this please?? Tysm!

Answers

The answer is A!

If you turn them all into decimals you get
6.82, 6.28, 6.08, 6.1

Hope this helps :)

Need Answer ASAP! 30 POINTS !

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:

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 number best represents the point graft on a number line -10 -9 -8 -7 -6 -5 point -4 -3 -2 -1

Answers

Answer:

-7 and -4

Step-by-step explanation:

try and poin them on a graph

25% of 28 is ______.
does anyone know the answer?

Answers

Answer:

it is 7

Step-by-step explanation:

you have to find 50% 28 and to do that you have to do 28/2=14 and then divide that by two 14/2=7 so seven is the answer can i have brainliest

Answer:

the answer is 7

Step-by-step explanation:

Helpppp meeeee
Find the value of earache missing variable

Answers

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

Simplify negative 6.5 times 2 times negative 5

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

-13

-13 x -5

65

A number is written with a base and an exponent. What is
another name for the exponent?
-rational number
-base
-exponent
-power

Answers

Answer:

power

Step-by-step explanation:

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

What are exponents?

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.

Learn more about exponentiation here:

https://brainly.com/question/26938318

#SPJ6

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.

help me please i need help

Answers

Um question there is no question so I cannot answer,,,

Answer:

i'll help you

Step-by-step explanation:

122212i3jewfc ndskja cyas queen

What is the difference between the function's values on Day 1?

0
35
70
105

Answers

35 is the difference! 35, 70, 105, 140, 175.
Other Questions
Ryan wants to discuss his idea for a school play. He invites his classmates Ethan and Jade to join him in the discussion. Ryan will present points for the group to discuss. Which two additional tasks does he need to assign to make the group discussion effective?someone to observe and give feedbacksomeone to make sure everyone speakssomeone to present a view opposite of Ryanssomeone to arrange for refreshmentssomeone to take notes and track the time Simplify: 3c-5d+5dPls Plss help i dont understand :( 2. How does friction effect speed? what is 5 8/9 as a decimal how do you do this? help me (show work) thank you There are 8 soccer teams for the 110 players in the league. The league wants the same number of players on each team. Which explains whether or not it is possible? oWhich of the following does the thief NOT do?eatdrinksleepwork Which oneeee is ittt!!!! Which description best fits most of the early Jamestown settlers. A. Farmers with experience and skills. B. Carpenters ready to build shelters C. Gentleman unprepared for hard work D. Soldiers prepared to fight the indians P.S. PLEASE ANSWER QUICKLY!!!! Explain how an object that is more dense than water can be kept afloat by placing it on an object that is less dense than water. (You can change the fluid by moving this triangle) meaning of the sentence :-To him that smiteth thee on the one cheek offer also other; and from him that taketh away thy cloak withhold not thy coat also. Give to every man that asketh thee; and of him that taketh away thy goods ask them not again. And as ye would that men should do to you also to them like wise. Plz put the correct answer In one to two sentences, describe how the destruction of the bison herds affected Native Americans PLEASE HELP ME ASAP I REALLY NEED THIS ANSWERED!14. WHAT IS A 'MEDIATOR' - AND - NAME 5 THINGS THEY WOULD DO TO HELP A CONFLICT. x+(-4)=-12 111111111 ILL GIVE BRAINLIEST AND EXTRA POINTS- Who FIRST recognized the cell as the universal unit of life? HINT ITS NOT HOOKE I GOT IT WRONG1. Virchow2. Van Leeuwenhoek3. Schleiden and SchwannASAP PLEASEEEEE who is muhammad ali and what did he do A student uses a telescope to view stars at night. The student notices some of the stars are different colors. The color of a star is determined MOST by itsSelect one:a. size.b. distance from Earth.c. mass.d. temperature. Use el verbo entre parntesis para pedirle a su compaero/a de cuarto que haga las cosas indicadas. 1. Ven (Venir) a mirar este programa. 2. No apagues (apagar ) la computadora; necesito trabajar ms tarde. 3. (Llamar) al portero y (decirle) que la luz se apag. 4. No (poner) la televisin ahora: (ponerla) despus. 5. NO (preocuparse ) por el trabajo; (descansar) un poco. Define: "initiatives"