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

The two right triangles on the graph below are similar.

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Answer:

B is the correct chose

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
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Answer:

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Step-by-step explanation:

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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

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

Does the blue on the graph represent a function ?

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Answer:

Nope

Step-by-step explanation:

It doesnt. Functions look like that

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explanation:

Please find what X equals -

5^6x+7 = 761

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Answer:

What grade? 10th?

Step-by-step explanation:

question is in picture ​

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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

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I know it sounds silly but it helped me :)

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

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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.

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
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D. 131 pounds​

Answers

Answer:

108

Step-by-step explanation:

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Answer:b

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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

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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.
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B.
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D.
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Answers

Answer:

B

Step-by-step explanation:

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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)

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Answer:

5x-y=0

Step-by-step explanation:

X=O I THINK SORRY IF IM WRONG

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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 :)

PLEASE HELP! BRAINLIEST to correct answer!!!

Answers

Answer:

Vertex: (4,9)

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y iny: (0,-7)

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Answers

Answer:

C

Step-by-step explanation:

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!

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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)

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y=mx+b

where

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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.

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:

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.

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 :)

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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!

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Answers

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

cross multiply

9*10=90

90/6=15

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:

Which statement describes a ratio?

Answers

answer c cause its comparing im pretty sure

-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

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

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

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]

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