the admision to a local fair is $10 each for adult and $6 for each child. Each ride costs $1.50 for an adult and $1 for a child.
An adult and child will each go on 7 ride. How much more did the adult spend?

Answers

Answer 1

The cost of admission for an adult is $10 and for a child is $6

The cost of each ride for an adult is $1.50 and for a child is $1

The adult will spend $10 for admission + $1.5 x 7 rides = $17.5

The child will spend $6 for admission + $1 x 7 rides = $13

The adult spent $17.5 - $13 = $4.5 more than the child.


Related Questions

Bill and his classmates completed 14 activities in 4 hours. what is the unit rate at which they ocompleted the activities

Answers

Step-by-step explanation:

we first divide fourteen by four

14/4= 3.5

then we change 0.5 to hours by multiplying by 60

0.5 * 60 = 30

so in conclusion it would take 3hrs 30mins to finish each activity

Evaluate if a = - 3 and c = 5
- Зас
7

Answers

Answer:

315

Step-by-step explanation:

-3ac7

-3x-3=9x5=45x7=315

❄ Hi there,

evaluate this expression by using substitution:

If

a=-3c=5

then

-3ac= (see below)

[tex]\sf{-3(-3)(5)}[/tex]

[tex]\sf{9\times5}[/tex]

[tex]\triangleright \ \sf{45}[/tex]

That's it!

If three different orders are selected, find the probability that they are all from Restaurant B

Answers

If three different orders are selected, find the probability that they are all from Restaurant B is; 0.026

How to find the probability?

Total orders both accurate and not accurate = 1131

Total orders from restaurant B (both accurate and not accurate) = 337

Probability of first order from B = 337/1131

Probability of second order from B = 336/1130

Probability of third order from B = 335/1129

Probability of the first three orders from B = 337/1131 × 336/1130 × 335/1129

Probability of the first three orders from B = 0.026

Complete question is;

Use the data in the following table , which lists drive - thru order accuracy at popular fast food chains Assume that orders are randomly selected from those included in the table Drive thru Restaurant A B C D Order Accurate 312 277 250 144 Order Not Accurate 32 60 37 19 If three different orders are selected , find the probability that they are all from restaurant A

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The triangles are similar. Find the value of the variable.

Answers

Answer is z=36
First find the ratio of the similar sides
55/44 = 1.25 ratio
Divide 45 by the ratio to find z
45/1.25 = 36

which of the following rational functions is graphed below?

Answers

Answer: C

Step-by-step explanation:

There is a vertical asymptote at x=3, so the denominator should have a factor of (x-3).

This eliminates everything except for C.

which function is greater at the given value y=3^x or y=x^3 at x=2

Answers

Answer:

[tex] {3}^{x} [/tex]

Step-by-step explanation:

[tex] {x}^{3} = 8[/tex]

[tex] {3}^{x} = 9[/tex]

What is the polar form of -2√3-6i ?

Answers

Any complex number [tex]z[/tex] can be written in polar/exponential form as

[tex]z = |z| e^{i\arg(z)} = |z| (\cos(\arg(z)) + i \sin(\arg(z)))[/tex]

In the complex plane, the given complex number belongs to the third quadrant since both its real and imaginary parts are negative. This means the argument must be between π and 3π/2, so the first two options are eliminated.

The difference between the remaining two options is the coefficient [tex]|z|[/tex]. We have

[tex]z = -2\sqrt3 - 6i \implies |z| = \sqrt{(-2\sqrt3)^2 + (-6)^2} = 4\sqrt3[/tex]

so (D) (the last option) is the correct choice.

Write each expression in the correct column to show whether the quotient is less than, greater than, or equal to 1

Answers

The expressions based on the information given are illustrated below

How to calculate the expression?

3/4 ÷ 1/2 = 1.5 = quotient is grater than 1

1/2 ÷ 3/4 = 2/3 = quotient is less than 1

2/9 ÷ 1/27 = 6 = quotient is grater than 1

5/3 ÷ 20/6 = 1/2 = quotient is less than 1

4/3 ÷ 3/5 = 20/9 = quotient is grater than 1

19/8 ÷ 2 3/8 = 1 = quotient is equal to 1.

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Ed wants to buy a new video game system which costs $250. he has
saved $135. ed charges $9 for each lawn he mows. which equation could
be used to find the number of lawns, x, ed must mow to have more than
the amount he needs to buy the video game system?

Answers

The required equation is 135 + 9x > 250.

The number of lawns Ed must mow is assumed to be x.

The amount Ed charges for each lawn he mows is $9.

Thus, the total amount Ed earns by mowing x lawns = $9x.

The savings which Ed has is $135.

Thus, the total amount Ed will have to spend can be written as the expression, $(135 + 9x).

The cost of the video game is given to be $250.

We are asked to write an equation, that can be used to find the number of lawns Ed mow, that is x so that the amount Ed has will be more than the amount he needs to buy the video game.

This can be shown as the equation:

Total amount Ed has > Cost of the video game,

or, 135 + 9x > 250.

Thus, the required equation is 135 + 9x > 250.

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Question 6 (1 point)
Find m/RST.
(4x-24)
U
S/(3x)*
O a m/RST = 72°
Ob
mZRST 108⁰
Oc
mZRST = 156°
Od mZRST = 24°

Answers

Answer:

72°

Step-by-step explanation:

3x = 4x - 24 (alternate exterior angles theorem)

x = 24

So, angle RST measures 72°.

Could someone please draw the triangle based off of this description

Answers

The altitudes of equal length, BE and CF gives AB = AC, from which we have;

∆ABC is an isosceles triangle

How can the RHS rule be used to indicate an isosceles triangle?

From the given description, we have;

BE = CF

<CFB = <BEC = 90° All right angles are congruent

BC = BC by reflexive property of congruency

BC = The hypotenuse side of triangles ∆BFC and ∆CEB

Therefore;

∆BFC is congruent to ∆CEB by Right angle Hypotenuse Side, RHS, rule of congruency.

Therefore;

BF = CE by Corresponding Parts of Congruent Triangles are Congruent, CPCTC

Similarly, we have;

∆AEB is congruent to ∆AFC, by Side-Angle-Angle, SAA, rule of congruency

Which gives;

FA = AE by CPCTC

BF + FA = CE + AE, by substitution property of equality

BF + FA = AB

CE + AE = AC

Therefore;

AB = AC

Therefore;

∆ABC is an isosceles triangle

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What is the volume, in cubic centimeters, of a cube whose side measures 4 centimeters ?

Fill in the blank by entering only a number as your answer.

Answers

The formula for the volume of a cube is-side length^3.

For your problem, side length=4, so the answer is 4^3=64

ANSWER: 64 CUBIC CENTIMETERS hope this helped you

(T-Tb)

Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder yx and the planes zy and z0.

Answers

By using the triple integral, the wedge's volume is 4/15.

What is parabolic cylinder?

A parabolic cylinder is a three-dimensional quadratic surface (sometimes known as a quadric surface) in mathematics, specifically analytical geometry, and is defined by the equation x 2 + 2 a y = 0 x2+2ay=0. A parabola serves as the directrix of a parabolic cylinder, to put it another way.

According to the assertion:

The wedge's volume, which the parabolic cylinder encloses, must be determined.

Consequently, as a result of the z=y form,

In addition to the specified boundary, the plane y=0 x = 0, z = 0.

For all of this, we are therefore in the first octant. additionally, the plane

x + y = 1 is a constraint.

Triple integrals are three independent integrations that are done one after the other to calculate a volume or to integrate across three independent dimensions in a fourth dimension.

The following would be written as a triple integral:

∫x=0 ∫y=0

∫z=0 dy dz dx

Once the values have been entered and the problem has been solved, we obtain the

[−4/15(1−x)^5/2] at x=0

The answer will then change to 4/15.

As a result, using the triple integral, the wedge's volume comes out to 4/15.

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8. A spinner is divided into 6 equal sections o
numbered 1 through 6. What is the probability
that the arrow will land on a multiple of 3?
(A) =
(B)
116113-1
(C) 1/12
(D) 1
8 (0)
81(0)
Cla
brosse und Ato mondo Fran
S(A)
(80)

Answers

Answer:

1/3

Step-by-step explanation:

The numbers are 1, 2, 3, 4, 5, and 6.

Both 3 and 6 are multiples of 3.

So, 2/6 is the probability since there is an equal change that the arrow will land on each section.

This simplifies to 1/3.

Brainliest, please :)

Answer:

P (multiple of 3) =  [tex]\bf \frac{1}{3}[/tex]

Step-by-step explanation:

Numbers on the spinner, ξ = {1, 2, 3, 4, 5, 6}    (6 elements)

Multiples of 3 = {3, 6}   (2 elements)

P (multiple of 3) = no. of multiples of 3 / total no. of numbers on spinner

                          =  [tex]\frac{2}{6}[/tex]

                          =  [tex]\bf \frac{1}{3}[/tex]


A rectangular corral is to be built using 70m of fencing. If the fencing has to enclose
all four sides of the corral, what would be the dimensions to produce the maximum
possible area and what would the area of the corral be? Include a complete solution

Answers

Answer:

306 square meters

Step-by-step explanation:

The maximum area is when the length and width are the closest together.

70/2=35 we divide because there are 2 lengths and 2 widths in a rectangle

35/2=17.5, find the 2 closest integers, they are 17 and 18

17*18=306

HELP !! Which of the following points lies on the graph of this equation? y =2x -2

Answers

Answer:

A.

Step-by-step explanation:

i'm 99% sure!

Answer:

B

Step-by-step explanation:

Plug in the coordinates.

Margo spends a quarter of her paycheck on a new dress, one-eighthof her paycheck on shoes, and $24 on a birthday present. if she spent $60 altogether, how much was margo’s paycheck?

Answers

Solving a linear equation, we conclude that Margo's paycheck is of 96 dollars.

How much was Margo's paycheck?

We know that she spends one quarter on a dress, one eight on shoes, and $24 on a birthday present.

We also know that she spent a total of $60.

If we define P as Margo's paycheck, then we know that:

(1/4)*P + (1/8)*P + $24 = $60

Now we just need to solve that linear equation for P, we will get:

(2/8)*P + (1/8)*P = $60 - $24 = $36

(3/8)*P = $36

P = (8/3)*$36 = $96

In this way, we conclude that Margo's paycheck is of 96 dollars.

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The measures of the angles of a triangle
are shown in the figure below. Solve for x.
33°
(3x-12)°

Answers

Answer:22

Step-by-step explanation:22

2. Which of the following expressions is equivalent to 322?
01
08.1/1
032.2
08-2

Answers

Answer:

C. (32/4)*2

Step-by-step explanation:

C is the correct answer because when we divide 4/2 it equals 2.

Hope this helps!

Answer:

D

Step-by-step explanation:

Given expression:

[tex] \dfrac{32}{4} \times \dfrac{4}{2} \times 2 [/tex]

Evaluation of the given expression:

[tex] = 8 \times 2 \times 2 [/tex]

[tex] = 32 [/tex]

A.     [tex] \dfrac{32}{\frac{16}{4}} = \dfrac{32}{4} = 8 [/tex]

B.     [tex] 8 \times \dfrac{4}{2} = 8 \times 2 = 16 [/tex]

C.     [tex] \dfrac{32}{4} \times 2 = 8 \times 2 = 16 [/tex]

D.     [tex]8 \times \dfrac{4}{2} \times 2 = 8 \times 2 \times 2 = 32[/tex]

Only expression D evaluates to the same value as the given expression.

Answer: D

determine the slope of the line

Answers

Answer: -1/2

Step-by-step explanation:

The slope of a line tells you how steep the line is, and what direction it is going in. We can calculate the slope by seeing how much the line moves horizontally and vertically.

We can calculate the slope using [tex]\frac{rise}{run}[/tex], which is how much a point rises (goes up or down) and runs (goes left or right) to go to the next point.

Let's take two points on the graph: (-2, 0) and (0, -4). The rise will be the difference of the y-values, and the run will be the difference of the x-values.

[tex]\frac{-2-0}{0-(-4)}=\frac{-2}{4}=\frac{-1}{2}[/tex]

Hence, the slope of this line is [tex]\frac{-1}{2}[/tex]

please help me it is an easy question

Answers

Answer:

200 yd²

Step-by-step explanation:

A = 17 yd

B  = 15 yd

C = 2 yd

D = 8 yd

b) Area of rectangle = length * width

 [tex]\sf Area \ of \ 2 \ triangle = 2* \dfrac{1}{2}* base * height = base* height\\\\[/tex]

Area of right triangular prism = Areas of two triangle +  area of the upper rectangle + area of middle rectangle + area of below rectangle

          = 8 * 15 +  17 * 2 + 15 *2 + 8*2

          = 120 + 34 + 30 + 16

          = 200 yd²

The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

Given the graph of w(x), w(2) = ?

(the graph is below)

Answers

Based on the graph of the cupcakes done, we find that w(2) = 5.

How many cupcakes are made by the cooker?

Herein we have an application of linear equations to the production of cupcakes. In accordance with the graph, the horizontal axis is for the preparation time (x) and the vertical axis is for the quantity of cupcakes done (w). Based on the graph, we find that w(2) = 5.

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Please answer the question below..

Answers

The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of big sector = (60/360) * π(10)² = (50π /3) cm²

Area of small sector = (60/360) * π(x)² = (x²π /6) cm²

Unshaded area = (x²π /6) cm²

Shaded area = (50π /3) - (x²π /6) = (100π - x²π) /6

Shaded area = unshaded area

(100π - x²π) /6 = (x²π /6) cm²

x = 7.07

The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.

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The length of x in the sector is 7.08 cm.

How to find area of a sector?

area of a sector = ∅ / 360 × πr²

where

r = radius

Therefore,

area of a sector = 60 / 360 × π × 10²

area of a sector = 60 / 360 × π × 100

area of a sector = 6000 / 360 π

Hence,

area of the unshaded portion = 6000 / 360 π ÷ 2 = 6000π / 720 =  26.1666666667 = 26.2 cm

Hence,

26.2 = 60 / 360 × 3.14 × x²

x² = 26.2 / 0.52333333333

x = √50.0637261552

x = 7.07557064836

x = 7.08 cm

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What is the solution to the system of equations? (7, 4) (7, startfraction 13 over 3 endfraction) (8, startfraction 14 over 3 endfraction) (9, 7)

Answers

The points are (7, 13/3).

Lets simplify the equation,

The equation of first line: y = 1/3 x + 2

the equation of second line: y= 4/3x - 5

Solve the system of equations by elimination,

Multiply equation A by -4 both sides

-4y = -4(1/3x +2)

-4y = -4/3x-8

After eliminating the equation we get,

y = 13/3

So now have to find x

13/3 = 1/3x + 2

Lets multiply above by 3
x = 13-6

x = 7.

Hence the points are (7, 13/3)

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Answer:

B

Step-by-step explanation:

What is the solution to the system of equations?

(7, 4)

(7, StartFraction 13 over 3 EndFraction)

(8, StartFraction 14 over 3 EndFraction)

(9, 7)

In the following diagram, BC is parallel to DE.
What is x?

Answers

Answer:

21

Step-by-step explanation:

Using alternate interior angles, we can conclude that angle C is equal to X (the 3rd, unmarked angle in the center triangle)

To find that 3rd angle, we can do 180 - 105 - 54. This is because all angles in a triangle must equal 180. Using this, we find that angle C is equal to 21. By the law, X must also equal 21.

Answer:

x is 21

Step-by-step explanation:

add 54 and 105, then subtract it by 180 and you get 21.

4. Based on the triangle sum theorem, solve for x.

Answers

Answer:

x = 10

Step-by-step explanation:

180 = 90 + 40 + (4x + 10)

180 = 130 + (4x + 10)

4x + 10 = 180 - 130

4x + 10 = 50

4x = 50 - 10

4x = 40

x = 40/4

x = 10

Answer:

x = 10

Step-by-step explanation:

An euclidean triangle is defined to have sum of all 3 interior angles equal to 180°.

In the given triangle, we know three measurement:

4x+1040°90°

You may be wondering, where does 90° come from. The answer is you can find it by looking if a triangle has a little square symbol or not. If it does, the measurement will always be 90°.

Now since we know that sum of 3 interior angles must equal to 180° in euclidean triangle. Therefore, sum up three of measurement then set to 180°.

[tex]\displaystyle{90 + 4x+10 + 40= 180}[/tex]

Evaluate and solve for the x-variable:

[tex]\displaystyle{90 + 4x+10 + 40= 180}\\\\\displaystyle{4x+140 = 180}\\\\\displaystyle{4x=180-140}\\\\\displaystyle{4x=40}\\\\\displaystyle{x=10}[/tex]

Therefore, the value of x is 10

WILL GIVE BRAINLEST!!!
I. The diagonals in a trapezoid are always equal in length.


II. The diagonals in a trapezoid always bisect each other.


III. The diagonals in a trapezoid always intersect at the median.


Which of the above statements are NOT true for all trapezoids?


I only

I, II, and III

I and III

I and II only

Answers

Answer:

I and II only

help!!!!!!!!!!!! >>>>>Which number set contains all rational
numbers?

Answers

The only set that only has rational numbers is the first one:

{1/3, -3.45, √9}

Which of the given sets contains only rational numbers?

A rational number is a number that can be written as the quotient of two integers.

If we look at the first set, the elements are:

1/3 which is a rational number.-3.45 = -345/100 which is a rational number√9 = 3 = 3/1 which is a rational number.

In the other sets we can see elements like:

√37, √44, or √2 which are all irrational numbers, then the only correct option is the first one.

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Will’s meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained x servings of 110 calories each. The bag of carrots contained y servings of 29 calories each. Which equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten?

110y = –29x + 333
29x + 110y = 333
29y = –110x + 333
110x + 29y = 333

Answers

Answer:

correct answer is 110x + 29y = 333

Step-by-step explanation:

Label the midpoint of PQ as point S, the midpoint of QR as point T, and the midpoint of RP as point U. Next, draw PT, QU, and RS. Which statements are true

Answers

The statements that are true based on the midpoint given in the question include:

m∠P + m∠Q + m∠R = 180°PT, QU, and RS intersect at the same point.

What is midpoint?

In geometry, the midpoint simply means the middle point of a line segment. The midpoint is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Also, it should be noted that the midpoint bisects the segment.

In this case, m∠P + m∠Q + m∠R = 180°. This is because the sum of the angles in a triangle will be equal to 180°. Also, PT, QU, and RS intersect at the same point.

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Complete question:

Label the midpoint of PQ as point S, the midpoint of QR as point T, and the midpoint of RP as point U.

Next, draw PT, QU, and RS.

Which statements are true?

m∠Q = m∠R

The length of QU is half the length of RP.

m∠P + m∠Q + m∠R = 180°

QU ≅ RS

PT, QU, and RS intersect at the same point.

The sum of the lengths of QU and RS is equal to the length of PT.

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