Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be $89.61 if she purchased two cans of soup and $94.98 if she bought five cans. Which equation could be used to describe Emma's grocery bill, B, in dollars as a function of the number of cans, C, purchased?

B(C)=2.69C+84.23

B(C)=1.99C+85.63

B(C)=1.79C+86.03

B(C)=1.07C+87.47

Answers

Answer 1

Answer:

3rd option: B(C)= 1.79C +86.03

Step-by-step explanation:

Total bill

= cost of cans(number of cans) +cost of other groceries

Let the cost of other groceries be G, and the cost of cans be X.

Given that number of cans= C,

Total bill= XC +G

If 2 cans were purchased,

2X+G= 89.61 -----(1)

If 5 cans were purchased,

5X +G= 94.98 -----(2)

(2) -(1):

(5X +G) -(2X +G)= 94.98 -89.61

5X +G -2x -G= 5.37

3X= 5.37

X= 5.37 ÷3 (÷3 on both sides)

X= 1.79

Subst. X= 1.79 into (1):

2(1.79) +G= 89.61

3.58 +G= 89.61

G= 89.61 -3.58 (-3.58 on both sides)

G= 86.03 (simplify)

Total bill

= XC +G

= 1.79C +86.03

Thus, the function is B(C)= 1.79C +86.03.

Answer 2

Answer:

the answer is (C)=1.79C+86.03

Step-by-step explanation:


Related Questions

Look at picture please !! I really need help thank you !

Answers

Answer:

h (1,2), w (3,4), y (6,0)

Step-by-step explanation:

Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign

Find the value of x if C is the midpoint of line segment AB, AC=4x+5, and
AB=78?

Answers

Answer:

x =  8.5

Step-by-step explanation:

AC + CB = AB

As C is the midpoint AC = CB = 4X + 5

AC + CB = AB

4x + 5 + 4x + 5 = 78

4x + 4x + 5 + 5  = 78            {Combine like terms}

            8x + 10 = 78            {Subtract 10 from both sides}

                    8x = 78 - 10

                    8x = 68

                      x = 68/8

                      x =  8.5

A coach travels to the beach which is 576 KM away in 6 hours. If he is only allowed to travel at a maximum speed of 90 kph, did the coach break the speed limit? What was his average speed?

Answers

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

km=Kilometers

Hrs=Hours

96>90

yes , the coach break the speed limit and the average speed is 96 km ph

What is Speed?

Speed is the time rate at which an object is moving along a path

Given,

A coach travels to the beach which is 576 KM away in 6 hours.

The maximum speed he can travel is speed of 90 kph

We need to check whether the coach breaks the speed limit or not.

Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.

and the average speed he has to maintain is 576/6

96kmph

Hence, yes the coach break the speed limit and the average speed is 96 km ph

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ2

4y-9+9. Please help!!!

Answers

Answer:

Step-by-step explanation:

4y-9+9= 4y since the 9's cancel each other out.

(2y - 3)(2y - 3) if it’s for algebra

Are the trianges congruent?
If so, state how
Help ASAP

Answers

Answer:

Okay so on the first one it would be congruent because they have  congruent sides or angles. (Hint: Look at the tick marks on both triangles and see if they match up, if they do then they are congruent.) I hope this helps you have a great day! <3

Step-by-step explanation:

A sporting goods store has 4 catchers mitts, 28 baseball gloves , 52 bats and 96 baseball in stock. What is the ratio of baseballs to baseball gloves

Answers

96:28

96 baseballs to 28 baseball gloves

The scale use for a model of kitchen is 1/4 in = 1/2 ft In the model, the kitchen measures 2 1/2 by 2 3 in. What are actual dimensions of the kitchen

Answers

Answer:

5feet by 4/3feet

Step-by-step explanation:

The scale use for a model of kitchen is 1/4 in = 1/2 ft In the model, the kitchen measures 2 1/2 by 2 /3 in. What are actual dimensions of the kitchen.

From the question, we were given the conversation rate of 1/4 in = 1/2 ft In the model,

To get actual dimensions of the kitchen if the kitchen measures 2 1/2 by 2 3 in. Then

✓Let us convert 2 1/2in to feet first= 5/2in as improper fraction.

If 1/4 in = 1/2 ft

5/2in = x ft

Then cross multiply, we have

(5/2×1/2)= 1/4 × X

5/4 = 1/4X

Make X subject of the formula

X= (5/4)/(1/4)

X=5ft.

✓Let us convert 2/3in to feet

If 1/4 in = 1/2 ft

2/3in = x ft

Then cross multiply, we have

1/4×X=2/3×1/2

X=(2/3×1/2)/(1/4)

X=4/3feet

Therefore, the actual dimensions of the kitchen is 5feet by 4/3feet

What is the angle measure of x in the polygon below?

A polygon with 7 sides. The angle measures are 135 degrees, 95 degrees, 135 degrees, 135 degrees, 115 degrees, 135 degrees, x.
95°
115°
135°
150°

Answers

Answer:

The answer is D 150

Step-by-step explanation:

I took the edgen test and got 100%.

Answer:

Try 150

Step-by-step explanation:

Hope it helps!

If A=,[2 5 7],find the value of
[1 4 9]
[8 3 6]
a23+a12-a32 matrix.​

Answers

Answer:

THE CORRECT ANSER OF THIS QUESTION IS 5.

Step-by-step explanation:

Here,

a23=6

a12=5

a32=6

Now,

a23+a12-a32

=6+5-6

=5

can someone help me with these questions please?! -1.2x = 12 and
x/9 = 4

Answers

Answer:

Step-by-step explanation:

-1.2x=12  divide both sides by -1.2 to get x alone

x= 10

x/9=4 multiply both sides by 9

x=36

Graph the following inequality :
- 2y z x + 6

Answers

Answer: 2(-2x+3)

Step-by-step explanation:

Explain your reasoning for your answer above.

I’ll give brainliest !!

Answers

Answer:

A

Step-by-step explanation:

The triangles are the same. Congruent is when all three sides are equal to each other on both triangles

( PLEASE HELP ME!!!!!!!!!!!!!!!!!!) HELPPPPPPPPP MEEEEEEEEEEEE)which fraction and decimal forms match the long division problem?
9 divided by 4.000



A. 4/9 and 0.4 B. 9/4 and 0.4 C. 4/9 and 0.4 D. 9/4 and 0.444

Answers

Answer:

Step-by-step explanation:

9/4.000= 9/4  fraction, 2.25 decimal and 2 1/4 mixed number.

If you take 4/9 you get 0.4 as the decimal

Answer: the answer is 4/9 and 0.4 with a line on top of 4

Step-by-step explanation:

credits too: igladky689 (he said the answer)

The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma

Answers

Answer:

19,4 or 4,19

Step-by-step explanation:

Let the width of the rectangle be 'w' in

According to the question length of the rectangle (l) is one inch less than five times it's width;

[tex] \longrightarrow [/tex] l = (5w - 1) in

Perimeter of rectangle = 46 inches

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex]\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 4 in

Length of rectangle (l) = 5 × 4 - 1 = 19 in

-28=p+21
Please help I don’t understand

Answers

Answer: -7

Step-by-step explanation:

-28=p+21

Move variables to the left- hand side and change its sign

-p-28=21

Move constant to the right hand side and change its sign

-p=21+28

Add the numbers

-p=49

Changes the sign on both sides of the equation

p=-49

Answer :p=-49

PLEASE MARK ME AS BRAINLIEST

3.1/3÷2.3/5
I Mark brainlies ​

Answers

Answer:

1.11/39

Step-by-step explanation:

4^-x =1/6 find x
need help asap​

Answers

Answer:

2

Step-by-step explanation:

you can make it like this

(1/4)^ x=1/16

so x=2

x = 2
This is because when you have a negative exponent like -x to rearrange it to a fraction and change the negative to a positive.
So 4^x would be the denominator and 1 would be the numerator.
So 1 / 4^x = 1 / 16
To achieve 16 from 4 you square it, therefore x = 2

what is 5 %9 (86 - 32) plss help

Answers

Answer:

270

Step-by-step explanation:

Mary is painting pumpkins to earn money. She plans on selling each pumpkin for $7.50. She currently has $200 in her savings account. Is the amount of money in her bank account proportional to the number of pumpkin she sells?

Answers

Answer: No. It's not proportional

Step-by-step explanation:

The direct proportion in mathematics is expressed as:

y = kx

where

y = $200

k = constant

x = $7.50

We then solve for k

y = kx

200 = 7.50k

k = 200/7.50

k = 26.67

Since k isn't a whole number, then the amount of money in her bank account proportional to the number of pumpkin she sells.

What is the equation of the line that passes through the points (-2,5) and (1,-1)?

Answers

Answer:

Step-by-step explanation:

That is the first

Answer:

1)y-3x=11 You clicked the right one

Hey guys!!
Here's an easy puzzle for you...
Brainliest for the fastest and the correct answer..
So the question is- People make me, save me, change me and raise me.. Who am I
This is an easy one...​

Answers

Answer:

ithe answer is money

Answer:

money

Step-by-step explanation:

the answer is money because we make them save them change them and raise them

Find the value of x.

Answers

Answer:

57 degrees

Step-by-step explanation

Answer:

x = 57

Step-by-step explanation:

So we know all triangles add up to 180 degrees. And that supplementary angles add up to 180 degrees.

So, we can do that missing angle + 138 = 180

180 - 138 = 42

180 - 42 - 81 = x = 57

Each correct answer is worth 134 points, and each incorrect answer is worth −14 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?

Answers

Answer:

i. Yes, Nevan won.

ii. Nevan scored 7464 points.

Step-by-step explanation:

Given: each correct answer = 134 points

           each incorrect answer = -14 points

Since he got 58 questions correctly, then;

His number of points = 134 x 58

                                   = 7772 points

Also, he got 22 incorrect questions, then;

His number of points = -14 x 22

                                   = -308

Nevan's total points = 7772 + (-308)

                                 = 7772 - 308

                                 = 7464

Nevan scored 7464 points.

Nevan won, and also had a total of 7464 points.

Answer:

yes nevan won

Step-by-step explanation:

Calculator
Given j | k and mZ1 = 40".
8/1
What is mZ6?
7/2
k
Enter your answer in the box.
63
54
mZ6 =

Answers

Answer:

65 oop

Step-by-step explanation: o0iiutdgc vhy

Measure of angle A : 3x

Answers

Answer: 11 degrees

Step-by-step explanation:

A nightclub has approximated the demand for their Thursday night drink special by p^2+200q^2=177​, where p is the price​ (in dollars) and q is the quantity demanded​ (in thousands). Find and interpret when the price is ​$ 7 and the demand is 800 drinks.

Answers

Answer:

Step-by-step explanation:

Given the approximate demand function of night drink expressed as;

p^2+200q^2=177​,

p is the price​ (in dollars) and;

q is the quantity demanded​ (in thousands).

Given

p = $7

q = 800

Required

dq/dp

Differentiating the function implicitly with respect to p shown;

2p + 400d dq/dp = 0

400q dq/dp = -2p

200qdq/dp = -p

dq/dp = -p/100q

substitute p and q into the resulting equation;

dq/dp = -7/100(800)

dq/dp = -7/80000

dq/dp = -0.0000875

This means that the rate of change of quantity demanded with respect to the price is  -0.0000875

(5^49/5^48)+4^0−(1)^79⋅(−3/−4^9)^0
what is the answer simplified
literally 20 points brainiest
THANK YOU SO MUCH MY WHOLE QUARTER OF THE YEAR DEPENDS ON THIS QUESTION

Answers

Answer:

I believe it is 3.75

Step-by-step explanation:

(5^49/5^48)+4^0−(1)^79⋅(−3/−4^9)^0

5+1−(1)^79⋅(−3/−4^9)^0

5+1−(1)^79

5⋅(−3/−4^9)^0

-3 divided by -4 to the power of 9 to the power of 0=0.75

5 times 0.75=3.75

Hope this is correct! xx

(Score for Question 2: 4 points)
2. You buy a pair of pants. The original cost of the pants is $30.00. The pants are on
sale for 20% off. Show your work or explain your mental math for each part! Pls explain!

Answers

20/100=0.2
0.2x30.00=6
30-6=24

You need to convert the 20 into a decimal so you divide it by 100 and you will have to multiply the result by the price of the pants (30.00) and it will give you what will be discounted. and he only challenges the result (6) by the price of the pants.
So the answers is 24

Answer: 24

Step-by-step explanation:

30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24

A wheel has a radius of 13”; calculate the circumference.

Answers

Answer:

81.71"

Step-by-step explanation:

Circumference = 2*pi*radius

pi = 22/7

radius = 13

Circumference = 2*22/7*13 = 44*13 / 7 = 572/7 = 81.71"

Write the slope-intercept form of the equation
6y-9x=36

Answers

Answer:

y= -3x + 12

Step-by-step explanation:

Hope this helps ! :)

it should be y = 3/2x - 6
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