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

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

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

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.

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 two right triangles on the graph below are similar.

Answers

Answer:

B is the correct chose

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]

Which statement describes a ratio?

Answers

answer c cause its comparing im pretty sure

y = 4x + x Convert to standard form

Answers

Answer:

5x-y=0

Step-by-step explanation:

X=O I THINK SORRY IF IM WRONG

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 :)

-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

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]

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

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.

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!

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

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:

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

Does anyone understand this?

Answers

Answer:

C

Step-by-step explanation:

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

Please find what X equals -

5^6x+7 = 761

Answers

Answer:

What grade? 10th?

Step-by-step explanation:

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 :)

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

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:

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.

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!

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:

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.

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:

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)

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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