Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies

Answers

Answer 1

Answer:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)

And the amount spent can be represented as:

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]

And

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

[tex]0.75c + 1.10h = 4.55[/tex]

Hence, the equations are:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Solving for c and h

Make c the subject in [tex]c + h = 5[/tex]

[tex]c = 5 - h[/tex]

Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]

[tex]0.75(5- h) + 1.10h = 4.55[/tex]

[tex]3.75- 0.75h + 1.10h = 4.55[/tex]

[tex]3.75 +0.35h = 4.55[/tex]

Collect Like Terms

[tex]0.35h = 4.55 - 3.75[/tex]

[tex]0.35h = 0.8[/tex]

Solve for h

[tex]h = 0.8/0.35[/tex]

[tex]h = 2.28571428571[/tex]

[tex]h =2[/tex] -- approximated

Recall that:

[tex]c = 5 - h[/tex]

[tex]c = 5 - 2[/tex]

[tex]c =3[/tex]


Related Questions

PLEASE HELP! BRAINLIEST to correct answer!!!

Answers

Answer:

Vertex: (4,9)

X int: (1,0),(7,0) = x=-1, x=-7

y iny: (0,-7)

what precent of 25 is 10?​

Answers

40%

40 percent of 25 is 10

10/25x100 and you will get your answer which is 40

Help! Help help help help help help

Answers

Answer:

(0,1)

Step-by-step explanation:

The zero of a function is where the answer is zero, so x=0 there. There's one point on this graph that has a point where x=0, and that is at y=1. Hope this helped :)

helphelp need lots of help. do atleast one idc need hELP

Answers

Answer:

31. $70 / 34. 9.5, 9, or 10.

Step-by-step explanation:

31. ok here it looks like they split the cost between each other. if im correct, that means they split the thing in 5. which means Tai is paying for [tex]\frac{2}{5}[/tex] the of the camera. [tex]\frac{1}{5}[/tex] of the total cost of the camera is 35, so 35 x 2 = 70. Tai is paying $70.00

im not good with liters and things like that with ratio, sorry about that

34. ok so the long side of the rectangle is 18 cm, and this has a ratio of 5 : 3. so for every 5 cm the small side is 3 cm. so if something was 18 cm, it would make the shorter side 9.5 or if it only requires whole numbers then either 9 or 10.

i hope this helped, i did my best :)

BOTH PLEASE 20 POINTS,TYSM

Answers

Answer:

5.) 13,841,287,201 x 2,401. 6.) 64⁴.

Step-by-step explanation:

PEMDAS requires parenthesis first, then exponents, then multiplication/division, and then addition/subtraction. For 5, lets find 7¹². According to my calculations, that is 13,841,287,201. Now for 7⁴. According to my calculations, that is 2,401. Now, we have 13,841,287,201 x 2,401. In math, an expression is a problem. If I solve it, it wouldn't be an expression, so I'll just leave it at that. For 6, we do the parenthesis first. 8² is 64. 64 to the fourth power is 16,777,216. If I solved it, it wouldn't be an expression, so we have to leave it at 64⁴. If you are wondering, 64⁴ is equal to 16,777,216. I hope this helps!

If f(x) = -3x + 5, find f(2).

Answers

Answer:

f(2)= -1

Step-by-step explanation:

f(2)=-3(2)+5= -6+5= -1

Answer:

-1

Step-by-step explanation:

f(x)=-3x+5

f(2)= -3(2)+5

=-6+5 = -1

Help me please find the equation of the line

Answers

Y = x - 5 is the equation you need

Answer:

y= [tex]\frac{-1}{24}[/tex]x - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

(4,-1),(6,1): two points

-1(1)/4(6): find slope

slope: [tex]\frac{-1}{24}[/tex]

write in point-slope form: y+1=[tex]\frac{-1}{24}[/tex](x-6)

y= [tex]\frac{-1}{24}[/tex]x - [tex]\frac{3}{4}[/tex]

Please find what X equals -

5^6x+7 = 761

Answers

Answer:

What grade? 10th?

Step-by-step explanation:

PLEASE HELP I AM BEING TIMED!!

Find the sum of the measure of the interior angles for the following regular polygon?

A: 1440
B:2340
C:2160
D:1080

Answers

Answer:

1080 is the answer.

Step-by-step explanation:

Find the quotient 3/5 divided by 8

Answers

Answer:

A.

Step-by-step explanation:

Answer: The answer is A 3/40

Step-by-step explanation: [tex]\frac{3}{5} :8=\frac{3}{5} * \frac{1}{8} =\frac{3*1}{5*8} =\frac{3}{40}[/tex]

Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67

Answers

Answer: The point (5,7) is on the line 5x+6y = 67

=====================================================

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.

Help asap please!! I will mark you as brainliest :)

Answers

Answer:

52

Step-by-step explanation:

bro imma be honest with you the way i figured this out doesnt even make sense so im not even gonna try and explain ths lol

The first choice is the right answer - 52
4 bags for two batches so for one batch it’s 2 bags and for 26 batches you multiply that by 2 so you get 52

Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in her wallet when she leaves the store so she has enough money to buy gas for the ride home. Which shows a possible number of CDs she could buy?

Answers

Answer: See explanation

Step-by-step explanation:

Let the possible number of CDs that she could buy be represented by x. Then, the equation can be represented as:

80 - 18x ≤ 20

80 - 20 ≤ 18x

60 ≤ 18x

x ≤ 60/18

x ≤ 3.33

The highest amount of cd that she can is 3 or less.

y = 4x + x Convert to standard form

Answers

Answer:

5x-y=0

Step-by-step explanation:

X=O I THINK SORRY IF IM WRONG

Does anyone understand this?

Answers

Answer:

C

Step-by-step explanation:

Solve the proportion:

Answers

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

cross multiply

9*10=90

90/6=15

The circumefreence of a circle is 37.8. What is the area of the circle? Use 3.14 for pie

Answers

Answer:

b

Step-by-step explanation:

circumference= 2πr

37.8cm = 2πr

r= 6 cm

Area= πr^2

area = 113cm^2

Question 19
Ellie earns $10.50 per hour as a server working x hours per week. She also earns $8.50 per hour editing poetry for y hours per
week. Ellie needs to make at least $125 to pay her cell phone bill, but she has at most 17 total hours to work per week with
her busy college schedule.
The system of linear inequalities modeling this situation is shown.
10.50x +8.50 y 2 125
x + y 517
Which statement represents a solution to the system of linear inequalities?

Answers

Answer:

what are the statements

Step-by-step explanation:

i like to ride on the interurban trail for a total distance of 30 miles. it takes me 2 hours. what is my average speed while riding my bike in miles per hour?

Answers

Answer:

15mph

Step-by-step explanation:

So to figure this out you have to get the total unit rate by dividing 30 and 2 which in total gives you 15

So congratulations you can ride 15 miles per hour :)

Answer:15 mph

Step-by-step explanation:

Does the blue on the graph represent a function ?

Answers

Answer:

Nope

Step-by-step explanation:

It doesnt. Functions look like that

yep because it doesn’t repeat x values


explanation:

-x/3 = -998
please help fast!!!
what does x equal?

Answers

Answer:

2994=x

Step-by-step explanation:

-x/3=-998

multiply 3 on both sides

-x=-2994

x=2994

Hope this helps you!

#Team Rainbows~

This might help for your math homework

Johnathon weight 60 pounds when he was in the 4th grade. Over the last four years, he has gained 80% of his original weight. How much does he weigh now? A. 140 pounds
B. 108 pounds
C. 120 pounds
D. 131 pounds​

Answers

Answer:

108

Step-by-step explanation:

60 plus 80% = 108

Answer:b

Step-by-step explanation:108 60x80

Which statement describes a ratio?

Answers

answer c cause its comparing im pretty sure

f(x) = x-1 + 2x + 12x3

Answers

=12

X-1+2x+12*3

re-arrange

X+2x=36+1

3x=37

X=37/3

X=12.3333

approximately

X=12

F(X)

=F(12)

hope it useful

question is in picture ​

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-4 + -2 = -6

Step-by-step explanation:

So this is a rhyme that helps me remember how to add and subtract positive and negative numbers...

(To the tune of Row Row Row Your Boat)

Same sign add and keep

Different sign subtract

Keep the sign of the bigger number

Then you'll be exact

I know it sounds silly but it helped me :)

The two right triangles on the graph below are similar.

Answers

Answer:

B is the correct chose

Step-by-step explanation:

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': BY C' 7 B 6 2 A 3= + 2 -7-6-5-4-3-2-1 Which of the following completes the rule for this translation, (x, y) = (x - 8, points) ? (4 O y-6 Oy-3 O y + 6 O'y+3

need help asap please ​

Answers

Answer: y+3

Step-by-step explanation: I'm taking the test rn

Answer:

y + 3

Step-by-step explanation:

I took the test and got it right.

Gerald wants to buy a pair of jeans, polyester pants, or cotton pants for his upcoming camping trip. The cost is similar for each item, and he can't decide which to buy. So, he plans to make a random selection. Which model can Gerald choose to simulate this situation, and what is the probability of picking a pair of jeans using this model?
A.
He can use a random number generator with the numbers 1 to 10. The probability is .
B.
He can choose one of three playing cards. The probability is .
C.
He can flip a coin. The probability is 3.
D.
He can flip a bottle cap. The probability is 1.

Answers

Answer:

B

Step-by-step explanation:

certain types of playing cards are cheap if you buy the right one then you'll have more money

which of the following is the slope intercept form of the equation of this line

Answers

Answer:

The slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

(1, -1)(-1, 1)

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)[/tex]

[tex]m=\frac{1-\left(-1\right)}{-1-1}[/tex]

[tex]m=-1[/tex]

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

m=slope b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

[tex]y=mx+b[/tex]

[tex]y=(-1)x+0[/tex]

[tex]y=-x[/tex]

Thus, the slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

Do anybody know how to do this ? This typa work is unnecessary bruh I hate school !

Answers

Man, I have to be honest with you, I have no clue. But here is something else though. I had to take Geometry last year, and you are right. It does suck. But, you will get through it! There is a light at the end of the tunnel and you will get it! Keep up the good work!

Answer:

m<1 = 87

Step-by-step explanation:

Bro I got you! You ain't gotta hate school no more!

Right the equation like this

m<1 + m<2 = <TSV (plug in)

m<1 + 65 = 152 (subtract 65 from 152 to get m<1)

m<1 = 87

There you go!

Hope this helps ya!

Other Questions
Can you give me a slogan for using compost at home please show workA car travels 360 miles in 8 hours (with a constant speed). How much time will it take traveling 168 miles? Read the selection "Lincoln's Journey to Emancipation" and answer the following questions:1. Most of us are familiar with the story of Lincoln, the unambitious rail-splitting man of the people. Howdoes Oates's biographical portrait of Lincoln reveal the complex human being behind this mythical image?2. How was Lincoln able to reconcile his reverence/love for the founders and the Constitution with themoral paradox of slavery in a free society?3. What was the slave power that and many other feared the late 1850s? How had the events of that crucialdecade seemed to confirm their fears?4. Oates says that the pressures and problems of fighting a civil war finally caused Lincoln to hurl anexecutive fist at slavery. What were the forces that led Lincoln to issue his Emancipation Proclamation?5. Many of Lincoln's contemporaries as well as later scholars accused Lincoln of having made an emptygesture with the Emancipation Proclamation. How does Oates answer these accusations? Julie is planning to make cupcakes for her school bake sale. There are 285 students, 17 teachers, and 324 parents attending the bake sale. If she decides to make a cupcake for each person, how many cupcakes does she need to make? Is this correct? El chico simpaticas / The nice boy.YES or NO Margaret wants to go for a swim, and decides to jump in using the diving board that measures 3-m long.She initially leaps with a velocity of 8.0 m/s at an angle of 80 to the horizontal. What are the horizontal and vertical components of her velocity?please help if you can! How much work is required to pull a sled if you use 60J of work in 5 seconds? Middle School Language Arts (/th Grade) sem 1 sec 1 / Module 1. Which of the following statements about narratives is true? (5 points) A narrative describes events in sequence. O A narrative has characters and setting but no conflict. O A narrative is a fictional account of something that has happened. O A narrative must be presented in written form. pls help again lolll srry :(( 40 POINTS Geometry homework What literary characteristics in The House Behind the Cedars make it a work of American Realism?Racteristics in The House Behind the Cedars make it a work of American Realism? Which of the following is NOT a factor in maintaining a fitness program?A.patienceB.varietyC.flexibilityD.appearancePlease select the best answer from the choices provided.ABCD 3. Solve the following application of a system of linear equations.Two students in the same Spanish class, Cindy and Ruben, plan to get together after school to makevocabulary flashcards. Cindy started on the project yesterday and has already made 14 flashcards.Ruben hasn't started yet so he has none. Since Cindy makes 9 flashcards per minute and Ruben makes10 flashcards, Ruben will soon have the same number of flashcards.Which variables will you use and what do they represent?Write your system of linear equations below.Solve the system.How much time will it take for Cindy and Ruben to have the same number of flashcards?How many flashcards will each student have at that time? Create a story about a item in your it can be true or false about that item please help? What is the relationship between species richness - the number of species inan ecosystem - and ecosystem services?A. Species richness and ecosystem services are not related.B. Greater species richness results in more ecosystem services.C. Greater species richness results in fewer ecosystem services.D. Species richness and ecosystem services are the same thing. What is the value of x in the equation 3x - 1/9y = 18, when y = 27? Need help :) plss will mark brainliest Write a summary of "At the Crossroads." A summary is a concise, complete, and accurate overview of a text Allen Air Lines must liquidate some equipment that is being replaced. The equipment originally cost $7.5 million, of which 65% has been depreciated. The used equipment can be sold today for $3 million, and its tax rate is 25%. What is the equipment's after-tax net salvage value? Enter your answer in dollars. For example, an answer of $1.2 million should be entered as 1,200,000 How would the issuance of a mortgage note in exchange for a building be reported on the statement of cash flows? A. Noncash finenctng and Investing actvity B. Investing actvity C. Operating activity D. Financng activity