A group of friends wants to go to the amusement park. They have $89.50 to spend on parking and admission. Parking is $7.75, and tickets cost $27.25 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.

The y-intercept, x-intercept and slope are 100, 350 and 2 / 7, respectively.

In accordance with the statement, the phone charge decreases linearly in time based on the following linear model:

c(x) = 100 - (Δy / Δx) · x

Where:

If we know that Δy = 2, Δx = 7, then the linear equation is:

c(x) = 100 - (2 / 7) · x

Then, the y-intercept, x-intercept and slope are, respectively:

y-intercept

b = 100

x-intercept

0 = 100 - (2 / 7) · x

(2 / 7) · x = 100

2 · x = 700

x = 350

Slope

m = 2 / 7

The y-intercept, x-intercept and slope are 100, 350 and 2 / 7, respectively.

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Answer:

if I can't explain in one line, then I will include the steps in the explanation.

Step-by-step explanation(Q3):

[tex]3^2-\left(5-3\right)^3+6\\5-3=2\\3^2-2^3+6\\3^2=9\\9-2^3+6\\2^3=8\\9-8+6\\9-8=1\\1+6\\1+6=7\\=7[/tex]

Hope it helps!

Answer:

let 3A5A be equal to 15

3A5A=15

A=1

Answer:

a = 5

Step-by-step explanation:

3555/15 is 237 which means it is divisible

The two numbers whose sum is 52 and the product is maximum are 26 and 26.

Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.

We need to find the two numbers whose sum is 52 and the product is maximum.

So, the multiples of 52 are

2, 26, 4, 13,

So, here we can see that the sum of 26 to itself would be equal to 52.

26 + 26 = 52

The product is also maximum compared to others.

26 x 26 = 676

Therefore, the two numbers are 26 and 26.

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the correct statement is the first one.

The inverse of 6^2 is 6^(1/2), then 6^(1/2) is the square root of 6.

Well, this is just a notation thing.

We know the following property for exponents:

(a^n)^m = a^(n*m)

And we know that the square rooth is the inverse of the square power (exponent equal to 2) such that:

√x^2 = 2

Then if we define the square root as an exponent, let's say that is an exponent "a" we will have:

√x = x^a

Rewritting the above relation again, we can write:

√(x^2) = (x^2)^a = x^(2*a)

And we know that it must be equal to x, so we get:

x^(2*a) = x

This means that 2*a = 1

then a = 1/2

√x = x(1/2)

Then the correct statement is the first one.

The inverse of 6^2 is 6^(1/2), then 6^(1/2) is the square root of 6.

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Answer:

2;3, that is the ratio =)

Step-by-step explanation:

Answer:The answer would be 4 to 6 or 4:6

We can conclude that in the question, angle m∠ABC = 58°.

So,

∠EBD is 29° and line EB bisects ∠CBD.

Similarly, ∠CBD = 58° and line CB bisects ∠ABD

Hence, ∠ABC = 58° as ∠CBD is also 58° because common line BC bisects the angle ∠ABD.

Therefore, angle m ∠ABD = 58°.

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You can see the graphs in the attached image. The order is the same as on page. Note that 7. and 8. give us an infinite number of solutions, and no solutions, respectively.

The value of line AB is 550 meters.

So,

First, we'll prove that △BEA ≅ △DEC.

So, △BEA ≅ △DEC is under ASA condition.

Therefore, the value of AB is 550 meters.

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Answer:

1.48

Step-by-step explanation:

Redefined the logarithm into its decimal form within the base.

Hope this helps.

Answer:

x = 5

Step-by-step explanation:

Change "minus a negative" to "plus a positive"

x - (-3) = 8

x + 3 = 8

Next, subtract 3 from both sides.

x + 3 - 3 = 8 - 3

x = 5

Check it!

x - (-3) = 8

5 - (-3) = 8

5 + 3 = 8

8 = 8 Check!

The given sentence about equilateral triangle is true.

A statement is given in the question.

We have to tell whether the statement is true or false.

What is an equilateral triangle ?

An equilateral triangle is a triangle in which all sides and all angles are equal.

As per the question ;

The statement given is , "An equilateral triangle is always equiangular."

Let's check whether it is true or false ;

We know that ,

Equiangular meant equal angles and we know that all the angles of equilateral triangle are equal.

Also ;

An equilateral triangle can also said as an isosceles triangle, that meant any two sides that are equal have equal opposite angles.

So ;

All three sides of an equilateral triangle are equal, all three angles are equal, too. We can conclude that every equilateral triangle is also equiangular.

Thus , the given statement about equilateral triangle is true.

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Answer:

9/28 of the lawn is left

Step-by-step explanation:

Make 3/7 and 1/4 have the same denominator

3/7 becomes 12/28 and 1/4 becomes 7/28

added together is 19/28

Answer:

Vertical: x = 1

Horiz: y = 8

Step-by-step explanation:

The equation of a

vertical line is always:

x = anumber

The equation of a horizontal line is in the form:

y = anumber

In the question a point is given, the point (1,8) is in the form (x,y) So x is 1 and y is 8.

We can fill in this given information to complete the equations.

Vertical: x = 1

Horizontal: y = 8

Answer: 3/4

Step-by-step explanation:

The slope of the line passing through the points (-3,3) and (5,9) is 3/4

The formula for calculating the slope of a line is expressed as:

Given the coordinate (-3,3) and (5,9), substitute the coordinates into the formula as shown below;

Hence the slope of the line passing through the points (-3,3) and (5,9) is 3/4

The quotient of the decimal number 89.904 divided by 34 will be 2.65.

In mathematics, the sum obtained by diluting two numbers is known as a quotient. In mathematics, the word "quotient" is widely used, and it is sometimes referred to as the integer part of a division, a fraction, or a ratio.

The decimal numeral system is widely used to express both integer and non-integer numbers.

Given numbers are 89.904 and 34. The quotient will be calculated as below:-

Quotient = 89.904 / 34

Quotient = 2.65

Therefore, the quotient of the decimal number 89.904 divided by 34 will be 2.65.

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By substitution, the solution of the system of equations, 3u + 8 = 4v and 24v = 6 - 3u, is (u , v) = (-2 , 1/2).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in u and v,

3u + 8 = 4v     (equation 1)

24v = 6 - 3u     (equation 2)

Using the first equation, find the value of one variable, lets say u, in terms of the other.

3u + 8 = 4v     (equation 1)

3u = 4v - 8

u = (4v - 8)/3

Substitute the value of u to the second equation.

24v = 6 - 3u     (equation 2)

24v = 6 - 3[(4v - 8)/3]

24v = 6 - (4v - 8)

24v = 6 - 4v + 8

Combining all terms containing the variable v on one side and the constants on the other side of the equality, and solve for v.

24v = 6 - 4v + 8

24v + 4v = 6 + 8

28v = 14

v = 1/2

Substitute the value of v in the equation for u and solve for u.

u = (4v - 8)/3

u = [4(1/2) - 8]/3

u = (2 - 8)/3

u = -6/3

u = -2

Hence, the solution of the given system of equations is (u , v) = (-2 , 1/2).

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The width of the frame is 8 inches.

We are given that:

The measures of the rectangular painting are:

Length = 13 inches

width = 20 inches

Now, the frame is of uniform with around the corner.

Let it be x inches.

So the new dimensions will be:

Length = 13 + x inches

Width = 20 + x inches.

Also, we are given that:

Perimeter = 98 inches

So, we get that:

P = 2(l + b)

Substituting the values, we get that:

98 = 2 (13 + x + 20 + x)

98 = 2( 33 + 2 x)

98 = 66 + 4 x

4 x = 98 - 66

4 x = 32

x = 32 / 4

x = 8 inches.

Therefore, the width of the frame is 8 inches.

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Step-by-step explanation:

the first answer is -3 the second answer is -2/3 outside -1

By solving the inequality we get [tex]y\leq -3[/tex]

What is graphing the inequality?

The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.

[tex]3y\leq -9[/tex]

Dividing above equation by 3 we get,

[tex]\frac{3y}{3}\leq \frac{-9}{3}\\y\leq -3[/tex]

Graph of [tex]y\leq -3[/tex] is

Therefore by solving the inequality we get [tex]y\leq -3[/tex]

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The number of units manufactured at a cost of $8900 will be 104 units.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

If the cost, C(x), for manufacturing x units of a certain product is given by

C(x) = x² - 19x + 60

The number of units manufactured at a cost of $8900 will be given by factorization.

x² - 19x + 60 = 8900

x² - 19x - 8840 = 0

x² - 104x + 85x - 8840 = 0

x(x - 104) + 85(x - 104) = 0

(x - 104)(x + 85) = 0

x = 104, -85

The number of units manufactured at a cost of $8900 will be 104 units.

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Answer: 1/10

Step-by-step explanation: -2/5+1/2=0.1

If we convert 0.1 into a fraction, it becomes 1/10.

Answer:

1/10 is the answer

Natalie will be paid $656.61 for a week and for summer $10505.76.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Natalie earns $15.27 per hour while working as a playground supervisor for 8 weeks throughout the summer. Although she works a 40-hour week, she typically puts in 3 hours of overtime.

For a week = ( 40 + 3 ) x 15.27 = $656.61

For a summer = 4 x 4 = 16 weeks

For a summer = 16 x $656.61 = $10505.76

Therefore, Natalie will be paid $656.61 for a week and for summer $10505.76.

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The volume of the larger cylindrical can of tuna with radius 5.2 centimeters is 419.6 cubic centimeters.

Solids of the same type that have proportional corresponding linear measures are similar solids. In the case of similar cylinder:

height of A / height of B = radius of A / radius of B

Using this scale, if the larger and similar can of tuna has a radius of 5.2 centimeters, and the small cylindrical can of tuna has a radius of 4 centimeters and a height of 3.8 centimeters, then:

radius of larger cylinder / radius of smaller cylinder = 5.2 cm/4cm = 13/10

height of larger cylinder / height of smaller cylinder = 13/10

height of larger cylinder = 13/10 (3.8 cm)

height of larger cylinder = 4.94 cm

Solving for the volume of the larger can using the formula for the volume of cylinder:

V = πr^2h

V = π(5.2 cm)^2(4.94 cm)

V = 419.6464068 cubic centimeters

Rounding off to the nearest tenth.

V = 419.6 cubic centimeters

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The size of angle is X=13

y + 98 =180(LP)

Y =180-98

Y=82

<AOB + <OAB + <OBA=180(Sum of all angles of triangles)

85 + X + 82 =180

167 + X =180

X = 180-167

X=13

In Euclidean geometry, any three points that are not collinear produce a singular triangle  angle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle angle is contained in a plane, and there is only one plane that contains that triangle. All triangles  angle are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.

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Answer:

[tex]g(x) = 2 {x}^{2} + 1 \\ g(0) = 2 ({0})^{2} + 1 \\ = 2(0) + 1 \\ = 1[/tex]

10.50+1.50x=total cost

since they wanted 3 topings it would be x=3

10.50+(1.50*3)

simplify

10.50+4.50=15

I hope this helps

Answer:8

Step-by-step explanation:

1

The linear functions that model the positions of the Python and of the Anaconda are given as follows:

A linear function is modeled by the following rule:

y = mx + b

In which:

For the functions in this problem, we have that:

Considering their velocities, and that when the Anaconda leaves the Python has already traveled half a mile, the functions are given as follows:

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