The cost of going to the big playland park for a family is given by C = 15x + 50, where C represents the cost and x represents the number of family members. How many family members went if it cost them $125?

Answers

Answer 1

As you have already given the equation and what each variable represents, I'll restate it here;
C = 15x + 50; C represents the total cost, and X represents the number of family members.
The total cost was $125, so we should substitute C with 125.

125 = 15x + 50; now, all we have to do is solve for x with basic algebra.
First, let's isolate the variable, so subtract 50 from both sides of the equation.

15x = 75; divide both sides by 15 to solve for x, the number of family members that went to the park.
15x / 15 = x
75 / 15 =5

We are left with the following solution:
x = 5

We can conclude that 5 family members went to the park.

I hope this helps!

Related Questions

Rounding 9 1\3 to the nearest whole number

Answers

The answer is 9 because one third is closer to 0 then 1

The answer is 28/3
Have an nice day

A 1 1/2-pound piece of turkey costs $7.98. A 6-ounce package of the same sliced turkey costs $2.49. What is the difference in price per 3-ounce serving?

Answers

The difference in price per 3-ounce serving package is $0.2475.

Price Per Serving Calculation

First, we need to determine the cost per 3-ounce serving for each type of turkey packaging. Since there are 16 ounces in 1 pound, a 1 1/2-pound piece of turkey is equivalent to 24 ounces.

Cost per ounce for the 1 1/2-pound turkey: $7.98 \/ 24 ounces = $0.3325 per ounce.

Cost per 3-ounce serving for the 1 1/2-pound turkey: $0.3325 x 3 = $0.9975.

The 6-ounce package costs $2.49, so:

Cost per ounce for the 6-ounce package: $2.49 \/ 6 ounces = $0.415 per ounce.

Cost per 3-ounce serving for the 6-ounce package: $0.415 x 3 = $1.245.

The difference in price per 3-ounce serving between the two types of turkey is: $1.245 - $0.9975 = $0.2475.

how many 1/2 cups servings of cereal are in 2 cups of cereal ?

Answers

There are 4 1/2 cups of cereal in 2 cups

How to define, “Greatest common factor.” Please Help.

Answers

The greatest common The greatest common factor in my words: The greatest of the common factors of two or more numbers.

The area of a square is 144 in². What is the length of the square in feet?

Answers

the answer should be 1

The answer would not be 1. All you need to do is divide 144 by 12 to get 12. There is no possible way for it to be 1.

Funny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frig population after years?

Answers

Each year the frog population is multiplied by (1-3%) = 97% = 0.97. The function that represents the frog population can be written as
.. p(t) = 1200*0.97^t

The function f(x)=square root -x is shown on the graph. Which statement is correct?

Answers

The domain of the the function f(x)=sqrt (-x) which has been shown in the graph is:
Domain:
{x ∈ R: x≤0}

This means that the domain is all non-positive real numbers.

The answer is:
d] The domain of the function is all real numbers less than or equal to 0.

Answer:

Step-by-step explanation:

i just did the test and got it right.

Algebra 1
The sum of two numbers is 186. The difference between the same numbers is 32. what are the two numbers?

Answers

[tex]x + y = 186 \\ y - x = 32 \\ 2x = 186 - 32 \\ 2x = 154 \\ x = 77 \\ y = 77 + 32 = 109[/tex]
X is 77
Y is 109

Need some help. Find the distance of the line PQ.

I tried multiplying the radius by 2 but that’s not the answer :/ simple equation but I’m blanking

Answers

distance = sqrt (x2-x1)^2 + (y2-y1)^2

distance = 5

What is 2 * 4 + 8/7 - 2/5 (3 + 8)

No calculator plzz!!!

Answers

Hey there Banana!

[tex]simplify \ \frac{2}5} \\ \\ (8+ \frac{8}{7})-( \frac{2}{5} *11) \\ \\ simplify \ \frac{8}{7} \\ \\ \frac{8*7+8}{7} = \frac{64}{7} \\ \\ \\ \frac{L \ Mult \ *R \ num}{L.C.M} * \frac{64*5}{35} \\ \\ \frac{64*5-(22-7)}{35} = \frac{166}{35} \\ \\ (final \ result) \\ \\ \boxed{\boxed{ \frac{166}{35} =(4.74286)}} \\ \\ Hope \ this \ helps \ you![/tex]

2 * 4 + 8/7 - 2/5 (3 + 8) =

= 8 + 8/7 - 2/5 * 11

= 8 + 8/7 - 22/5

The LCD is 35.
We multiply the first fraction by 35/35, the second fraction by 5/5, and the third fraction by 7/7 to have a common denominator.

= 280/35 + 40/35 - 154/35

= 166/35

= 4 26/35

Pythagorean Theorem in Cones. Please help

Answers

3^2 + height^2 = 9^2

9 + height^2 = 81
height ^2 = 72

height = sqrt(72)

81 times a number minus 77 is equal to -77 less than the number

Answers

81 times a number minus 77 is equal to -77 less than the number 81x-77=x-77

income of $40,000paid $ 8,800 in federal income taxes. What fraction shows how much my parents spent on their federal taxes?

Answers

Hello,

If you want to find the fraction that was spent on taxes, you should put the amount of taxes over the total amount.

You would have 8800/40000.

This fraction can be reduced to 22/100 or 11/50. It could also be written as 22%.

Best of luck,
MrEQ

write the equation in slope intercept form 2x-3y=6

Answers

Slope is 2/3
Y Intercept is -2

hope this helps

Slope intercept form is y = mx + b.

-3y = -2x + 6
-y = -2/3x + 2
y = 2/3x -2

Hope this helps!

I neeeeed help please

Answers

17. You are supposed to use the perimeter formula for a rectangle. Your text has apparently written that formula as
.. P = 2w +2l
You are given values for P and l. Put them in the formula.
.. 6 = 2w +2*1
Solve in the usual way. First, subtract 2.
.. 4 = 2w
Then, divide by 2
.. 2 = w
You have found w, and it is 2.

_____
Personally, I like to write the perimeter formula for a rectangle as
.. P = 2(w +l)
Usng this version, we can fill in values and get
.. 6 = 2(w +1)
Dividing by 2 gives
.. 3 = w +1
Subtracting 1, we get
.. 2 = w

The people who "consume" or use the travel product are called _____.
A---suppliers
B---consumers
C---intermediaries
D---distributors

IM TERRIBLE AT MATH
HELP PLEASE

Answers

I believe its B.

Hope this helps!

Answer:

B. Consumers literally read the question?

Step-by-step explanation:

The surface area of the triangular prism is?

A. 540 Square Meters

B. 552 Square Meters

C. 576 Square Meters

D. 624 Square Meters

Answers

If I did my math right, the right answer should be that the surface area of this triangular prism is 576 square meters.

Final answer:

The area of a triangle with a base of 166 mm and height of 930.0 mm is found by converting the measurements to meters and using the formula A = 1/2 × base × height. It calculates out to be 0.07719 m² and should be reported as 0.0772 m² to match the least number of significant figures provided in the measurements.

Explanation:

To calculate the area of a triangle, you use the formula A = 1/2 × base × height. Given the base is 166 mm and the height is 930.0 mm, first, you need to convert the measurements to meters by dividing them by 1000 (since there are 1000 millimeters in a meter), which gives us 0.166 m for the base and 0.930 m for the height. Then you plug these values into the formula:

A = 1/2 × (0.166 m) × (0.930 m)

So the area of the triangle is:

A = 1/2 × 0.15438 m²

A = 0.07719 m²

This result should be reported with the proper number of significant figures. Given that the base was provided to three significant figures and the height to four, the area should also be reported to three significant figures since the number of significant figures in the answer is determined by the measurement with the fewest significant figures. Therefore:

Area = 0.0772 m²

A square tile with sides of length 1 ft is divided into 4 equal sections as shown.

Write a multiplication equation showing how to calculate the area of the shaded square portion of the tile in square feet using fractions. Explain what each part of the multiplication represents in terms of the shaded square.

Answers

The shaded part represents 1/4 of the whole square, of which the area is 4/4 (1) ft^2. So, you need to find out 1/4 of 4/4. This can be done by doing 4/4 × 1/4 = 4/16 = 1/4. Therefore, the smareaof the shaded square is 1/4 ft^2.

how do you do the formula a2+b2=c2

Answers

In the formula a^2 + b^2 = c^2, a is (most often) the height of the triangle, b is the length of the triangle, and c is the last side-length connecting a and b, called the hypotenuse. The formula states that a and b must form a 90 degree angle, and that a^2 + b^2 = c^2.

So, to find x in this triangle:

x^2 + 8^2 = 12^2
x^2 + 64 = 144
x^2 = 80
x = 8.94

Hope this helps!

Can someone plz help me with this question

Answers

A = L*W
A = (2r+3)*(r -4)
Use the distributive property, three times in total.
.. = 2r(r -4) +3(r -4)
.. = 2r^2 -8r +3r -12
Collect terms.
A = 2r^2 -5r -12

Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2.

What can be concluded about the two distributions?

Select each correct answer.

The distributions are somewhat similar.

The means-to-MAD ratio is 1.5.

The distributions are similar.

The means-to-MAD ratio is 3.

Answers

Hello,

B.
The means-to-MAD ratio is 1.5.D.
The distributions are somewhat similar.

mark brainiest mate!

Angle JKL and MKQ are complementary angles.
The measure if angle JKL is twice the measure of angke MKQ.
Write one equation to find x, the measure if angle MKQ, and then solve for x
Enter your equation and your solution in the space provided

Answers

Hi, to answer this question you need to know that complementary angle will add up to 90 degrees. If the angle of MKW is x, then angle JKL is 2x (twice the measure). The sum of both of these would be 90°. You can show this as x + 2x=90. Simplify this to 3x=90. Then divide by 3 on both sides to get x=30 degrees.

The equation of the complementary angles can be represented as 2x + x = 90° and the measure of ∠MKQ is 30 degrees.

What are complementary angles?

Complementary angles are angles that sum up to 90 degrees. The angles complement each other.

Therefore,

∠JKL + ∠MKQ = 90°

let

∠MKQ = x

Hence,

∠JKL = 2x

Therefore,

2x + x = 90°

3x = 90

divide both sides by 3

3x / 3 = 90 / 3

x = 30

learn more on complementary angles here:https://brainly.com/question/5366669

#SPJ2

Which number is an irrational number?

A: 0.12

B: 0.1257486

C: 0.12121212

D: 0.111111

Answers

An irrational number is a number that can not be expressed as a rational number(a whole number, repeating decimal number, and a fraction that is rational.)
So 0.1257486 is the answer.

Final answer:

The irrational number in the given options is C: 0.12121212, as it repeats the sequence '12' infinitely without any pattern.

Explanation:

An irrational number is a number that cannot be expressed as a simple fraction (i.e. a ratio of two integers) and has an infinite number of non-repeating decimal places. Out of the given options, the number C: 0.12121212 is an irrational number because it repeats the sequence '12' infinitely without any pattern. The other options, A: 0.12, B: 0.1257486, and D: 0.111111, can all be expressed as fractions and have either a finite decimal representation or a repeating decimal pattern.

Sheila works for a fishing company. She is paid $20 per day and an additional $2 for each lobster she catches. She wants to know how many lobsters she must catch in order to earn a total of at least $130 after five days of working.

Create an inequality on the number line with the tools provided which represents the number of lobsters that Sheila could catch to earn at least $130.

Answers

In five days, she would get $100 no matter what meaning she needs $30 in lobsters. 30/2 = 15 so the number of lobsters she needs to catch could be represented as x >= 15

Rewrite each expression using each base only once.

(-6)^12 * (-6)^3 * (-6)^2

2^2 * 2^7 * 2^0

Simplify each expresion.

5c^4 * c^6

(-2.4n^4)(2n^-1)

(4c^4)(ac^3)(-3a^5c)

a^6b^3 * a^2b^-2

Answers

Rewrite each expression using each base only once.

(-6)^12 * (-6)^3 * (-6)^2
(-6)^(12+3+2)
(-6)^(17)
Answer:
(-6)^(17)

2^2 * 2^7 * 2^0
(2)^(2+7+0)
(2)^(9)
Answer:
(2)^(9)

Simplify each expresion.

5c^4 * c^6
5*c^(4+6)
5*c^(10)
Answer:
5*c^10
(-2.4n^4)(2n^-1)
(-2.4*2)(n^4)(n^-1)
(-2.4*2)(n^(4+(-1))
(-4.8)(n^(4-1))
(-4.8)(n^(3))
Answer:
(-4.8)(n^(3))

(4c^4)(ac^3)(-3a^5c)
((4)*(-3))*(c^(4+3+1))*(a^(1+5))
(-12)*(c^(8))*(a^(6))
Answer:
(-12)*(c^8)*(a^6)

a^6b^3 * a^2b^-2
(a^(6+2))*(b^(3+(-2)))
(a^(8))*(b^(3-2))
(a^(8))*(b^(1))
(a^8)*(b)
Answer:
(a^8)*(b)

justin can type w words per minute. melvin can type 4 times as many words as justin. write an expression that represents the rate at which Melvin can type

Answers

m = Words per min that Justin can type
w = Words per min that Melvin can type
w = m*4

Melvin's typing rate can be expressed as 4w words per minute by multiplying Justin's rate by 4.

To determine how many words Melvin can type per minute, we need to use Justin's typing rate as a reference.

Since Justin can type w words per minute, and Melvin can type 4 times as many words as Justin, we multiply Justin's rate by 4.The expression for Melvin's typing rate is 4w words per minute.

For example, if Justin types 50 words per minute (w = 50), then Melvin would type 200 words per minute (4 * 50 = 200).

The ratio of vertical change to the horizontal change is called _________.
A. The slope
B. Translation
C. The y intersept

Answers

I think the ratio of a vertical change to the horizontal change is called slope.

Answer:

slope

Step-by-step explanation:

Gerald is saving money. His mom said that whatever he saves, sehe will give him $10 more. Which graph shows the amount Gerald will have if he saves d dollar?

Answers

No graph that I could see but if he saves one dollar and he gets ten more that means he would get eleven dollars

Need help with 3 and 4.

Answers

A) Problem 3

Answer: third option 11.5

Explanation:

1) Since this is a right triangle you can use the trigonometric ratios.

2) sin (α) = opposite-leg / hypotenuse

3) α = 35°; opposite-lge = x; hypotenuse = 20.

4) substitute values

sin(35°) = x / 20

5) Solve for x

x = 20 * sin (35°) = 11.47

6) Round to the nearest tenth: 11.5

Answer: third option 11.5

B) Problem 4

Answer: first option 8.3

Explanation:

1) Since it is a right triangle you can use trigonometric ratios

2) cos (α) = adjacent - leg / hypotenuse

3) α = 41°; adjacent - leg = x; hypotenuse = 11

4) Substitute values

cos (41°) = x / 11

5) Solve for x: x = 11 * cos (41°) = 8.30

6) Round to the nearest tenth: x = 8.3

Answer: 8.3

A piece of popcorn, on average, has a volume of 1.125 inches cubed. How many pieces of popcorn will fit in a bag that has a dimension of 5 inches by 3 inches by 7 inches?

Answers

To solve for this, we need to multiply all of our dimensions by each other, and then divide that product by the volume of a piece of the average popcorn.
5 x 3 = 15;
15 x 7 = 105.

105 / 1.125 = 93.33~.

This means that 93 (whole) pieces of popcorn will fit in a bag of 105 inches.

I hope this helps!

To find out how many pieces of popcorn will fit in a bag with dimensions of 5 inches by 3 inches by 7 inches, divide the bag's volume by the average volume of a popcorn piece.

To calculate the volume of popcorn that fits in the bag:

Calculate the volume of the bag: 5 in x 3 in x 7 in = 105 in³.

Divide the bag's volume by the average volume of a piece of popcorn (105 in³ ÷ 1.125 in³ = 93.33 popcorn pieces).

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