You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding the go-carts for $8 per ride (r), and using the batting cages, for $6 per set of baseballs (s). What is the equation for the total number of rides on the go-carts and sets of baseballs you can get at the batting cages for your total amount of money you brought? If you ride the go-carts 14 times, how many sets of baseballs can you get at the batting cages according to the equation?

Answers

Answer 1

Answer:

[tex]8r + 6s = 100[/tex] --- (a)

[tex]s = -2[/tex] ---- (b)

Step-by-step explanation:

Given

Per ride (r) = $8

Per baseballs (s) = $6

Total = $100

Required

Represent using an equation

If 1 ride is $8.

r rides would be 8r

If 1 baseball is $6

s baseballs would be 6r.

So, total is:

[tex]8r + 6s = 100[/tex]

Solving (b):

Value of s when r = 14

[tex]8r + 6s = 100[/tex]

Substitute 14 for r

[tex]8 * 14 + 6s = 100[/tex]

[tex]112+ 6s = 100[/tex]

Solve for 6s

[tex]6s = 100 - 112[/tex]

[tex]6s = -12[/tex]

Solve for s

[tex]s = -12/6[/tex]

[tex]s = -2[/tex]


Related Questions

Need help with this. Plz! Thank you

Answers

yes yes yes yes yes yes yes yes

A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The ratio of teaspoons of yellow water to teaspoons of red water is 3:1 ." Write a ratio for 2 batches of this recipe and explain how you know it is equivalent to 3:1.

Answers

Answer:

The ratio of 2 batches of recipe is 6:2. Which is equivalent to 3:1 because if we multiply the ratio with same number it would give us equivalent ratio.

Step-by-step explanation:

When mix 3 teaspoon of Yellow water with 1 teaspoon of red water, we get ratio as 3:1

If we use 2 batches of recipe, the ratio is multiplied twice.

That's ratio of yellow water to red water is 3*2 :1*2 , which gives 6:2

But, if we simplify the ratio, by dividing both by common factor, we would get 3:1

That's [tex]\frac{6}{2} :\frac{2}{2}[/tex] simplified to 3:1

Factor
• 1/343 x3 - 1/125
• 0.001b3 - 8

- send help •-•'​

Answers

Answer:

[1/7 x - 1/5][(1/49 x²)+(1/35 x)+(1/25)]

(0.1b - 2)[0.01b²+0.2b+4]

Step-by-step explanation:

a³-b³=(a-b)(a²+ab+b²)

So

1/343 x³ - 1/125

[(1/7)x]³ - [1/5]³

[1/7 x - 1/5][(1/7 x)²+(1/7 x)(1/5)+(1/5)²]

[1/7 x - 1/5][(1/49 x²)+(1/35 x)+(1/25)]

And

0.001b3 - 8

(0.1b)³-(2)³

(0.1b - 2)[(0.1b)²+(0.1b)(2)+2²]

(0.1b - 2)[0.01b²+0.2b+4]

A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
A) 52.06 feet
B) 8.68 feet
C) 25.5 feet
D) 1.41 feet

Answers

C

6/3.5 = 14.875/x

6 x 14.875 = 89.25

89.25/3.5 = 25.5

Solve for x.
Зxy = W

Answers

Answer:

[tex]\huge\boxed{x=\frac{W}{3y}}[/tex]

Step-by-step explanation:

If we have the equation [tex]3xy=W[/tex] and we want to solve for x, our goal is to isolate x one one side of the equation.

The question we have to ask ourself is ”What’s stopping x from being isolated?”

That would be the 3 and the y.

Since we’re multiplying x by the 3 and the y, we can divide both sides by the 3 and the y to get x isolated.

[tex]3xy \div 3y = w \div 3y[/tex]

[tex]x = \frac{W}{3y}[/tex]

Hope this helped!

Greg drove 300 miles at a constant speed in 5. The speed limit was 70 miles per hour. Was his rate greater than the speed limit?

Answers

The average speed of Greg will be 60 miles per hour.

To answer this question, we need to calculate Greg's average speed during the trip.

We can use the formula:

Average Speed = Total Distance / Total Time

In this case, Greg drove 300 miles in 5 hours, so:

Average Speed = 300 miles / 5 hours = 60 miles per hour

Since Greg's average speed was 60 miles per hour, which is less than the speed limit of 70 miles per hour, his rate was not greater than the speed limit.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ1

16) The chorus needs to raise money to go on their annual trip. It will cost $2,000 to go. So far, they have raised
$800 selling their chocolate candy bars. If they decide to sell sandwiches at lunch for $3 each, how many
sandwiches will they need to sell to raise the remaining funds?

Answers

Answer:

400 sandwiches

Step-by-step explanation:

2000 - 800 = $1200 (still need this amount from selling sandwiches)

$1200/$3 per sandwich = 400 sandwiches

2. Five pigs were weighed daily to regulate caloric
intake before the stock show. The weight
gain/loss for each pig after one week is shown in
the table below.
Pig
Porky
Gumball
Wilbur
Roscoe
Chance
Weight Changes
Weight Gain/Loss (lbs.)
0.17
-1.48
0.10
-1.409
0.07
Which list shows the values in the table from least
to greatest?

Answers

Answer: -1.409, -1.48, 0.007 , 0.10, 0.17


Hope this helps

given: y is the midpoint of XZ
prove: XY 1/2XZ​

Answers

Given:

Y is the midpoint of XZ.

To prove:

[tex]XY=\dfrac{1}{2}XZ[/tex]

Proof:

It is given that Y is the midpoint of XZ. It means Y divides the line segment XZ in two equal parts XY and YZ.

[tex]XY=YZ[/tex]            ...(i)

Point Y lines on the segment XZ, so by segment addition theorem, we get

[tex]XY+YZ=XZ[/tex]

[tex]XY+XY=XZ[/tex]               [tex][Using (i)][/tex]

[tex]2XY=XZ[/tex]

Divide both sides by 2.

[tex]XY=\dfrac{1}{2}XZ[/tex]

Hence proved.

what is the answer to (-7)(2)(-2).

Answers

Answer:

28

Step-by-step explanation:

-2 × -7 = 14

14 × 2 = 28

thats the correct answer

8 less then a number n is -13

Answers

Answer:

equation: 8-n=13

answer: n = 21

Step-by-step explanation:

In the relation f(x) = 2x - 15, what is the value of x if f(x) = 39
A. 27
B. 7
C. 12
D. 32

Answers

The answer is A. 27..

What is the value of 10 - 2(
4-5)?

Answers

Answer:

12

Step-by-step explanation:

you would need to use BODMAS to work this out

as a result you would work out the value in the brackets which would equal to -1 so the question would look like this: 10-2(-1)

next you would do the multiplication due to the fact it comes next in the order

so you would end up with 10+2 which would equal to 12

Hope this helps

Answer:

12

Step-by-step explanation:

First we do 4-5 because of Order of Operations. So we get -1

Then we do multiplication because of Order of Operations and we get -2*-1=2

So now we do 10+2 and we get 12.

You may be asking why I did -2*-1.

It honestly doesn't matter.

Let's say I did 2*-1. We get -2.

Then we do 10-(-2) and If you subtract a negative, it's just adding basically. So we can put it as 10+2 and we get 12.

answer this qusten and ill mark u brainlyest 6+6 hhehehe

Answers

Answer:

6+6= 30 billion

Step-by-step explanation:

Answer:

6 + 6 = 66 or 12

Step-by-step explanation:

I'm not sure

A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
А. 1/5
B. 1/6
C. 1/7
D. 1/8

Answers

Answer:

D

Step-by-step explanation:

1/8

Answer: D

Step-by-step explanation:

Shona cycles at an average speed of 8km/h. How far has she travelled if she cycles for 4 hours

Answers

Answer:

32km

Step-by-step explanation:

After school one night, I had to stop at the local office supply store and pick up a few items. I bought 2 packages of page dividers. They each cost $3.79. I bought one package of Post-It Tabs that cost $6.79. Finally, I bought a large binder for $11.99. Sales tax was 7.5% and I paid with a 50 dollar bill. How much change did I receive?

Answers

Answer:

$21.66

Step-by-step explanation:

Add up all of the costs

3.79 + 3.79 + 6.79 + 11.99 = 26.36

Then multiply by the sales tax

26.36 x 7.5% = 1.98

Add the total cost and the tax

26.36 + 1.98 = 28.34

Subtract 28.34 from 50

50 - 28.34 = 21.66

That is how much change you recieve after your purchase.


2.
Jack and Jill went to Taco Bell. Jack bought three tacos and two burritos
and paid $5.40. Jill bought two tacos and one burrito and paid $3.10.
What is the individual cost of a taco? How much does a burrito cost?
(How do I write my two equations for this?? Pls and thank you!)

Answers

answer:

x = 0.80

y = 1.50

step-by-step explanation:

x = cost of tacos

y = cost of burritos

both equations:

3x + 2y = 5.40

2x + 1y = 3.10

             ^

turn this | into this |

                             v

               y = 3.10 - 2x

then add it to the equation :

3x + 2 [ 3.10 - 2x ] = 5.40

3x + 6.2 - 4x = 5.40

-1x = - 0.8

x= 0.80

then add x = 0.80 to the equations to get :

3 [ 0.80 ] + 2y = 5.40

2.4 + 2y = 5.40

2y = 3

y = 1.5

I need help with this question 7.89 square root X12+65=

Answers

Answer:

79x 8.8881941732 approximately 54Thanks for the points A hope it helped alot

Answer:

79×8.88881941732 approximately 54.Tysm for points.~Anna Bella

Riley bought a plant and planted it in a pot near a window in her house. The
initial height of the plant was 6 inches and it grew at a rate of 2 inches per
month. Write an equation for H, in terms of t, representing the height, in
inches, of the plant t months after Riley bought the plant.

Answers

Answer:

6+2t=h

Step-by-step explanation:

Answer:

H = 6 + 2t

Step-by-step explanation:

H = your solution

6 = initial height of the plant

+ = the height of the plant grows each month

2 = the rate at which the plants grows per month

t = the number of recorded months the plant will grow for

Hope this Helps! :)

-SGO


(62-3) X (2 + 8) =
The 2 is little and a little over 6 so it’s not 62 it’s like 6 2

Answers

Answer:

330

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

Find the value of y.​

Answers

Answer:

11

Step-by-step explanation:

we know opposite angles are the same, so

8y-16=72

+16

8y=88

/8

y=11

Is y=x+3.75 a proportional relationship? Yes or no

Answers

Answer:

NO

Step-by-step explanation:

if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.

Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.

That means that the relationship is NOT proportional.

The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.

Answer:

No

Step-by-step explanation:

because if we put x=1 in equation y=x+3.75y=(1)+3.75y/x=4.75if that is proportional then y/x will be same in each scenarioand if we put x=2 then y=(2)+3.75y=5.27y/x=2.875so it is not equal, it mean that relation is not proportional

Which equation represents f(x)? f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

Answers

Answer:

A.

Step-by-step explanation:

The equation that represents function f(x) is (a) [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

The original function is given as:

[tex]y = \sqrt[3]{x}[/tex]

First, the function is translated 6 units left.

The rule of this translation is:

[tex](x,y) \to (x +6,y)[/tex]

So, we have:

[tex]y = \sqrt[3]{x + 6}[/tex]

Next, the function is translated 1 unit up.

The rule of this translation is:

[tex](x,y) \to (x,y+1)[/tex]

So, we have:

[tex]y = \sqrt[3]{x + 6} + 1[/tex]

Express y as a function of x

[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

Hence, the equation that represents f(x) is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

Read more about translation at:

https://brainly.com/question/5757291

What is the square root of -36

Answers

Answer:6 i

Step-by-step explanation:

hope i help u have  a great day

Answer:

i don't think you can square root a negative number

Graph the inequality.
[tex]y \leqslant 2[/tex]

Answers

plot a shaded point (closed circle) on (0,2) then shade above the line. the line should be horizontal or parallel to the x axis

Please help me!!! Thank you so much

Answers

Step-by-step explanation:

[tex]\frac{(x + 2)}{4} = - 2 \\[/tex]

multiply everything by 4

[tex]x + 2= - 2 \times 4 \\ x + 2 = - 8[/tex]

subtract 2

[tex]x = - 8 - 2 \\ x = - 10[/tex]

the answer is -10

Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 36 questions he thought he got right. It turns out that Henry got 5 questions wrong that he thought he got correct and he only got 11 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?

Answers

Answer:

84%

Step-by-step explanation:

Henry completed a total of 50 questions. From these 50 he predicted 36 were right and this means he also predicted that 14 were wrong (50-36 = 14). From these predictions 5 out of 36 from the ones that he predicted were right were actually wrong and 3 of the 14 questions (14-11 = 3) he predicted were wrong were actually right. Meaning in total he wrongly predicted 8 questions which means he predicted 42 correctly ...

42 / 50 = 0.84 = 84%

Therefore, Henry's prediction accuracy is 84%

How to solve Y=10+2(x-4)

Answers

y=10+2(x-4)

Use the distributive property to multiply 2 by x-4.y=10+2x-8

Subtract 8 from 10 to get

y=2+2x

Step-by-step explanation:

I think this is right good luck

What is Three-fourths divided by one-sixth? A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 6 boxes containing one-sixth. Under the 6 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 3 4 4 and StartFraction 1 Over 12 EndFraction 4 and one-half

Answers

Answer:

4 and one-half

Step-by-step explanation:

Given the expression (3/4)÷(1/6), we are to simplify it. See the workings below;

(3/4)÷(1/6)

= 3/4 × 6/1

= (3×6)/4

= 18/4

= 9/2

Write as a mixed fraction

= 4 1/2

Hence the correct answer is 4 and one-half

Answer:

D

Step-by-step explanation:

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