A group of friends wants to go to the amusement park. They have $134.75 to spend
on parking and admission. Parking is $12.25, and tickets cost $24.50 per person,
including tax. Write and solve an equation which can be used to determine x, the
number of people who can go to the amusement park.

Answer:

22/5*8/3

176/15

yep that's it

I think..

Algebraic expression explaining real world problem is - A store is having a sale where all items are marked down 12% and an additional $2.50 is taken off the final price.

If a customer wants to find out the original price of an item before the sale, they can use the equation 12(x+2.50)=78, where x is the original price of the item.

Algebraic expressions are known as  expressions made up of :

A mathematical statement with variables, constants, coefficients, and algebraic operations is known as an algebraic expression. A good example of an algebraic expression is 5x2+6xyc. Algebraic expressions do not use equal signs, in contrast to algebraic equations. In contrast, since they are not derived from integer constants and algebraic operations, transcendental numbers like and e are not algebraic.

A store is having a sale where all items are marked down 12% and an additional $2.50 is taken off the final price. If a customer wants to find out the original price of an item before the sale, they can use the equation 12(x+2.50)=78, where x is the original price of the item.

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Answer:

450 miles per hour

Step-by-step explanation:

Kelly flies at a distance of 2,100 miles

The time taken for the trip is 4 2/3 hours

Therefore the rate of speed can be calculated as follows

= 2,100 ÷ 4 2/3

= 2,100 ÷ 14/3

= 2100 × 3/14

= 150 × 3

= 450 miles per hour

Answer:

450

Step-by-step explanation:

Answer:

There are 35 adult dogs and 20 puppies

Step-by-step explanation:

Represent the puppies with P and the Adult dogs with A

Given

\(A : P = 7 : 4\)

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

\(Total = A + P\)

\(Total = 7 + 4\)

\(Total = 11\)

Adult Dogs is then calculated as follows;

\(A = \frac{A\ Ratio}{Total} * Dogs\)

\(A = \frac{7}{11} * 55\)

\(A = \frac{385}{11}\)

\(A = 35\)

Puppies is calculated by subtracting the number of adult dogs from the total

\(P = Dogs - Adult\ Dogs\)

\(P = 55 - 35\)

\(P = 20\)

Hence;

There are 35 adult dogs and 20 puppies

Answer:

since you coloring 28% of the  square will be almost half and if your asking how many squares you need to color that would be 28 squares  

Step-by-step explanation: if your working on 100 squares it will be easy to calculate  how much 28%  would you need to put so  i guessed  28  * i think it might be wrong but oh well*

The area of the ripple is increasing by 5654.86 square cm per second

From the question, we have the following parameters that can be used in our computation:

Ripple = Circular

Radius = 30 cm

Rate of increasing = 30 cm/seconds

The area of a circle is

A = πr²

Differentiate the area with respect to radius to get the rate at which the area of the ripple is increasing

So, we have

A' = 2πr r'

Where

r' = 30 cm/s

r = 30

So, we have

A' = 2π * 30 * 30

Evaluate

A' = 5654.86

Hence, the area is increasing by 5654.86 square cm per second

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x > 120 is the required inequality and the school ordered more than 120 bags of concrete.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The number of bags of concrete that the school ordered, represented by x, must be greater than 60 / 0.5 = 120 bags of concrete.

So, the inequality that describes the problem is:

x > 120

The solution to the inequality is:

x > 120

The school ordered more than 120 bags of concrete.

Hence, x > 120 is the required inequality and the school ordered more than 120 bags of concrete.

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The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

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The solution to the inequality 8(x-1) >12 - 2x is given as follows:

x > 2.

The inequality for this problem is defined as follows:

8(x-1) >12 - 2x.

Applying the distributive property to the left side, we have that:

8x - 8 > 12 - 2x.

Isolating the variable x, the solution is obtained as follows:

10x > 20

x > 20/10

x > 2.

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The temperature of 30° is within one standard deviation of the mean.

To determine which temperature is within one standard deviation of the mean, we need to consider the range that falls within one standard deviation above and below the mean.

Given that the mean temperature is 24° with a standard deviation of 4°, one standard deviation above the mean would be 24° + 4° = 28°, and one standard deviation below the mean would be 24° - 4° = 20°.

Looking at the temperatures in the chart, we can see that the temperature of 30° is within one standard deviation of the mean. It falls within the range of 28° (one standard deviation above the mean) and 20° (one standard deviation below the mean).

Therefore, the temperature of 30° is within one standard deviation of the mean.

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The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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Answer:

.

Step-by-step explanation:

The slope of a line is change in Y / change in X.

The slope of a horizontal line = 0, not undefined.

The slope of a vertical line = undefined.

Answer:

8.384

Step-by-step explanation:

Answer:

8.348e-7 metric tons

Step-by-step explanation:

Answer:

a = -2

Step-by-step explanation:

15-a =17

a=15 - 17

a=-2

Answer:

hi

Step-by-step explanation:

-a=17-15

-a=2

have a nice day

The solutions the inequalities -2(c-4) ≤-4 and d-6>-4 have in common are values greater than 2

From the question, we have the following parameters that can be used in our computation:

-2(c-4) ≤-4 and d-6>-4

Using the above as a guide, we have the following:

-2(c - 4) ≤ -4

Divide by -2

c - 4 ≥ 4

So, we have

c ≥ 0

Next, we have

d - 6 > -4

Add 6 to both sides

So, we have

d > 2

This means that the solutions are c ≥ 0 and d > 2

So, the solutions the inequalities have in common are values greater than 2

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Answer:

2.25 F

Step-by-step explanation:

I subtracted 3/4 from 3.

Hope this helped.

-Pepsi

Answer:

A

Step-by-step explanation:

The first term of the sequence is 4, the common difference is 3. So the equation of this sequence is 4+(n-1)*3 or 1+3*n. Plug in n=100

Answer:

3

Step-by-step explanation:

Answer:

the mass of a dime is 2.268 grams.

Step-by-step explanation:

Given that the mass of a quarter is 5.67 grams, the mass of a dime can be found by multiplying 0.4 to the mass of a quarter.

So,

Mass of a dime = 0.4 × mass of a quarter

= 0.4 × 5.67 grams

= 2.268 grams

Therefore, the mass of a dime is 2.268 grams.

Answer:

10x10x10x10 and 10,000

Step-by-step explanation:

Select other ways to

4

express 10. Mark all that apply.

A 10 X 4

D 10,000

B 10 + 4

(E) 10 + 10 + 10 + 10

F

10 X 10 X 10 X 10

C 1,000

We will have $1800 in account for United Bank and $2191.12 in account for Federal bank and the balance differ by $391.12 .

Simple Interest can be calculated using the formula

SI=(P*R*T)/100  ...(i)

where P=principal , R= rate per annum , T= time in years.

In the given Question

For United Bank the interest is Simple interest,

principal = $1000

rate of interest = 4%

Time = 20 years

Substituting the given values in equation (i) we get

SI=(1000*4*20)/100

=80000/100

=800

The Simple Interest is $800

The final amount in United Bank after 20 years = $1000+$800 = $1800

For Federal Bank

Since interest is compounded annually Compound Interest Formula for Amount will be used

In Compound Interest the final Amount is calculated using \(Amount = P*(1+\frac{r}{n} )^{nt}\)   ....(ii)

Given the values  

principal = $1000

rate of interest = 4% = 0.04

Time = 20 years

n=1     ( as rate is calculated  annually )

Substituting the given values in equation (ii) we get

A=1000*(1+0.04)²⁰

=1000*(1.04)²⁰

=2191.12

the amount in Federal bank after 20 years = $2191.12

Difference in amount = Amount in Federal Bank - Amount in United Bank

=$2191.12 - $1800

=$391.12

Therefore , We will have $1800 in account for United Bank and $2191.12 in account for Federal Bank and the balance differ by $391.12 .

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Answer:

A. They are one-dimensional

B. They connect two endpoints

Both statements A and B are true about line segments. Line segments are one-dimensional figures that have two endpoints and connect them with a straight path.

Statement C is not true. Line segments do not have a unit of measure on their own, but their length can be measured using a unit of measure such as inches, centimeters, or meters.

Statement D is not true either. Line segments are flat, one-dimensional objects and cannot grow to become three-dimensional objects. However, multiple line segments can be connected to form a three-dimensional object, such as a cube or pyramid.

The coordinates of V' include the following: V' (-5, -10).

In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.

In this scenario an exercise, we would dilate the coordinates of V at (-2, -4) by applying a scale factor of 2.5 that is centered at the origin as follows:

V (-2, -4) → V' (-2 × 2.5, -4 × 2.5) = V' (-5, -10).

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The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Hello!

-----------------------------------------------------------------------------------------------------------------

2x+5y=10

We want to turn this equation into y=mx+b form:

5y=-2x+10

Divide both sides by 5:

y=-2/5x+2

Now, the equation of the line parallel to it:

Remember, parallel lines have the same slope.

So these two lines have the same slope (-2/5)

Now, use Point-Slope form:

y-y1=m(x-x1)

y=1=-2/5(x-(-5)

y-1=-2/5(x+5)

y-1=-2/5x-2

y=-2/5x-2+1

y=-2/5-1

Hence, this is the required solution. I hope you find it helpful!

~SparklingFlower

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Answer:

Step-by-step explanation:

look for the stem and leafs that are less than 10 and add them all up

5+7+9