jenna works for the city transportation department. she made a table to show the number of people that can be transported on a different number of buses. complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y.​

Answer:

t<-32/75

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Answer:

t < -32/75

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The lines intersect at (-2,2).

Step-by-step explanation:

The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.  

Answer:

The t-statistic for a hypothesis test that is designed to answer the question is 2.4.

Step-by-step explanation:

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the saple and n is the size of the sample.

A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50.

This means that [tex]\mu = 50[/tex]

A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.

This means that [tex]X = 56, s = 25, n = 100[/tex]. So

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]

[tex]t = \frac{56 - 50}{\frac{25}{\sqrt{10}}[/tex]

[tex]t = \frac{6}{2.5}[/tex]

[tex]t = 2.4[/tex]

The t-statistic for a hypothesis test that is designed to answer the question is 2.4.

Answer:

1

Step-by-step explanation:

SAS is one of the methods to define congruent triangles. When two sides and the angle between these two sides are specified, the triangle has been defined certainly.

Answer:

1

Step-by-step explanation:

becasue

Answer:

78

Step-by-step explanation:

Ratio of left-footed teachers to right-footed teachers = 3:13

18 left-footed teachers; 3x6 = 18 (3:13 is a simplified ratio and to get 18, you have to multiply 3 by 6)

13x6 = 78 (whatever you do to one side, you have to do the other)

78 right-footed teachers

The are 78 teachers are right footed.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The ratio of the number of left footed teachers: the number of right footed teachers = 3:13

Total left footed teachers = 18

let the Common ratio be x.

Then , number of left footed teachers= 3x

and, number of right footed teachers= 13x

So, 3x= 18

x= 6

Hence, there are 78 teachers are right footed.

Learn mor about algebra here:

https://brainly.com/question/24875240

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Answer:

v=-5 and v=3

Step-by-step explanation:

We are given that

[tex]v^2-15=-2v[/tex]

We have to find  two solutions of quadratic equation.

[tex]v^2+2v-15=0[/tex]

Using addition property of equality

[tex]v^2+5v-3v-15=0[/tex]   (By using factorization method)

[tex]v(v+5)-3(v+5)=0[/tex]

[tex](v+5)(v-3)=0[/tex]

Substitute each factor equal to 0

[tex]v+5=0[/tex] and [tex]v-3=0[/tex]

[tex]v=-5[/tex] and [tex]v=3[/tex]

Hence, two solutions of quadratic equation are

v=-5 and v=3

Answer:

In 3 months the total cost of each health club will be the same.

The total cost for each health club will be $_60_.

Step-by-step explanation:

Answer: False

Step-by-step explanation:

it’s usually 20%

Answer:

False

Step-by-step explanation:

1. Normally it is 20%.

2. Move yous decimal one place to the left

3. Round this number to the next easy coin amount

4. Double that number

That is roughly 20%

Answer:

Linear expression is linear equations

Step-by-step explanation:

Answer:

[tex]x = 2.5[/tex]

Step-by-step explanation:

Given

[tex]AC = 2x - 1[/tex]

[tex]AB = 2x + 1[/tex]

[tex]BC = 2\sqrt{7[/tex]

[tex]\angle A = 60^{\circ}[/tex]

Required

Find x

To find x, we make use of cosine formula which states:

[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]

In this case:

[tex]BC^2 = AB^2 + AC^2 - 2*AB*BC*CosA[/tex]

Substitute values

[tex](2\sqrt{7})^2 = (2x + 1)^2 + (2x-1)^2 - 2*(2x + 1)*(2x - 1)*Cos(60^{\circ})[/tex]

Evaluate all exponents

[tex]4*7 = (4x^2 + 4x + 1)+(4x^2 - 4x + 1) - 2(4x^2 - 1)*cos(60^{\circ})[/tex]

Open brackets

[tex]28 = 4x^2 + 4x + 1+4x^2 - 4x + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]

Collect Like Terms

[tex]28 = 4x^2 +4x^2+ 4x - 4x+ 1 + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]

[tex]28 = 8x^2+ 2 - (8x^2 - 2)*cos(60^{\circ})[/tex]

Substitute 0.5 for cos(60)

[tex]28 = 8x^2+ 2 - (8x^2 - 2)*0.5[/tex]

Open bracket

[tex]28 = 8x^2+ 2 - 4x^2 + 1[/tex]

Collect Like Terms

[tex]8x^2- 4x^2 + 2 + 1 - 28 = 0[/tex]

[tex]4x^2 -25 = 0[/tex]

Collect Like Terms

[tex]4x^2 =25[/tex]

Divide both sides by 4

[tex]x^2 =\frac{25}{4}[/tex]

[tex]x^2 =6.25[/tex]

Take positive square root of both sides

[tex]x = \sqrt{6.25[/tex]

[tex]x = 2.5[/tex]

Answer: An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 4. ounce. hope i helped

Step-by-step explanation:

Answer:

Store B

Step-by-step explanation:

First you need to set up an equation for each store

Store A  (you have 5 pounds of something sold at $x per pound. which together totals $23.49)

[tex]5x=$23.49[/tex]

Store B (you have 8 pounds of something sold at $x per pound. which together totals $36.96)

[tex]8x=36.96[/tex]

Then you want to isolate the x for each equation to find the price per pound. You do this by diving each total cost, by how many pounds that you get.

Store A: $23.49/5 pounds= $4.698

Store B: $36.96/ 8 pounds = $4.62

This gives you a price per pound, so B is the correct answer because B is $0.07 cheaper per pound, giving you the better deal.

Answer:

0712....,.......................

Answer:

50.24 units2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

x must equal 2 and 2 to the power of 2 is 4

Answer:

4

Step-by-step explanation:

Original equation: 3x-1=5

Add 1 on both sides: 3x=6

Divide by 3 on both sides: x=2

If x=2, then x^2 = 4.

Let me know if this helps!

Answer:

What exactly do you need to be answered?

Step-by-step explanation:

Step-by-step explanation:

The equation for the slope-intercept is y =3x-4

Answer:

7.07 in^2 is what i got

Answer:

30 mild wings

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

5-1/3-1

4/3-1

4/2

2

I hope this helps

Answer:

6/65

Step-by-step explanation:

using the proper calculator, and through solving.

Answer:-2 because the y intercept is when the x axis is zero

Step-by-step explanation:

Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

/6      /6

x = 39

Answer:

0.1

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

0.06 divided by 0.60 = 0.1

Answer:

The answer is B.

Step-by-step explanation:

From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.

Answer:

I don't get the question

Step-by-step explanation: