Jacob rides a bicycle with 30 inch (2.5 feet) wheels. He can travel 150 revolutions in one minute. At this rate, what is the distance that she can travel in 5 minutes?

Answer:

Choice 3: Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.

Step-by-step explanation:

From the equation y = 13.50x + 300, we can derive that:

300 is the initial value, or y-intercept.

13.50 is the rate of change, or slope.

Let's go through each choice and eliminate:

1. Incorrect, because spending $13.50 on each yearbook would mean a negative slope.

2. Incorrect, because the initial value is $300, not $13.50.

3. Correct, because $300 is the initial value and earning $13.50 means a positive slope.

4. Incorrect, because the initial value should be $300.

Therefore, choice 3 is the correct scenario.

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

[tex]-4x + 6 = 2x + 36[/tex]

Add -2x and -6 on both sides.

[tex]-4x + 6-2x-6 = 2x + 36-2x-6[/tex]

[tex]-4x-2x=36-6[/tex]

Combine like terms.

[tex]-6x=30[/tex]

Divide both sides by -6.

[tex]\frac{-6x}{-6} =\frac{30}{-6}[/tex]

[tex]x=-5[/tex]

Answer:

x = -5

Step-by-step explanation:

Group like terms together:  On the right side we get 2x + 4x = 6x.  On the left side we get 6 - 36 = - 30.

Then 6x = -30, and x = -5.

Answer:

The addidtive inverse is 7y²- x²y - 3xy + 7x²

( here we need to change the sign of each of the term )

Answer:

7y2-x2y+3xy+7xy

Step-by-step explanation:

I got it right

Answer:

From the information in the problem, the value of a is 2, the value of b is 2, and the value of c is -6.

Step-by-step explanation:

The first thing we have to do is factor the equation in order to find the value of a, b, and c.

2x³ - 8x² - 24x

Find a common factor that can be easily divisible among all the terms. This common factor is 2x. Factor the equation.

2x(x² - 4x - 12)

Now, we have to factor out the equation in the parentheses. we do this by multiplying the first term by the last term first. Since there is no coefficient number for x², then we assume this number to be 1.

1 × -12 = -12

Now, we have to find two numbers that multiply to get -12 but add together to get -4. These numbers are 2 and -6. Let's plug these numbers into the equation.

2x(x² + 2x - 6x - 12)

Group the first and second terms together and group together the third and last term together in the parentheses.

2x((x² + 2x) + (-6x - 12))

Factor the equation in parentheses.

2x(x + 2)(x - 6)

So, the value of a is 2, the value of b is 2, and the value of c is -6.

Answer:

-2

Step-by-step explanation:

each number is being multiplied by -2 to get to the next number

A. -4/2 but if you factor it it will be -2

Answer:

5

hope your like this a swer

stay at home stay safe

bye bye

pls mark me as BRAINLIEST

Answer:

5

Step-by-step explanation:

If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.

Answer:

The correct answer is <XYZ

Step-by-step explanation:

Just took the quiz

Answer:

<XYZ

Step-by-step explanation:

Answer:

Yes, because every x value corresponds to exactly one y value

Step-by-step explanation:

To be a function each x has to go to only one y

There is a one to one correspondence so this is a function

Answer:

y-5=5/4(x-1)

Step-by-step explanation:

the slope is 1.25

m=y2-y1/x2-x1=10-5/5-1=5/4=1.25

y-5=(5)/(4)(x-1)=

y=(5)/(4)x+(15)/(4) this one is linear

it is a linear function and the

Answer:

x>1

Step-by-step explanation:

12x+2>14

12x>12

x>1

Answer:

x > 1

Step-by-step explanation:

12x + 2 > 14

Subtract 2 on both sides.

12x > 14 - 2

12x > 12

Divide 12 into both sides.

x > 12/12

x > 1

Answer:

sales tax rate = 4%

Step-by-step explanation:

In this problem formula to express one term in percentage is used

To express x as percentage of y is given by (x/y*100) %

______________________________________________

Cost of item = $480

sales tax = $19.20

we have to find sales tax rate.

sales tax rate is percentage of cost price which will levied as tax .

thus, we have to find sales tax as percentage of cost price.

using the percentage cost as given above

sales tax as percentage = sales tax/ cost of item *100

sales tax as percentage = 19.20/480 *100 = 4%

Thus, sales tax rate is 4%.

It means that if cost price of item is $100 then $4 will be the sales tax for the item.

Answer:

x+y:

16<x+y<19

y-x:

3<y-x<6

xy:

60<xy<84

y/x:

10/7<y/x<2

Step-by-step explanation:

For x+y, it'll be

  6<x<7

+

  10<y<12

=16<x+y<19

____

y-x:

  10<y<12

--

  6<x<7

because of the negative sign the x inequality is reversed so it is -7<x<-6

and then you do the math and get 3<y-x<5

________

xy:

   10<y<12

x

   6<x<7

you multiply and get 60<xy<84

________

y/x:

  10<y<12

divided by

  6<x<7

now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6

Please give me a brainliest award. This took so long. I hope this helped.

Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].

The solutions and possible values to the inequalities are:

[tex]16 < x + y < 19[/tex]  [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]

[tex]4 < y - x < 5[/tex]  [tex]\to[/tex]   [tex]y - x = \{4.5, ...,4.9\}[/tex]

[tex]60 < xy < 84[/tex]   [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]  [tex]\to[/tex]  [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Given that:

[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]

To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.

[tex](6 < x < 7) + (10 < y < 12)[/tex]

This gives:

[tex]6 + 10 < x + y < 7 + 12[/tex]

[tex]16 < x + y < 19[/tex]

This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:

[tex]x + y= \{17,18\}[/tex]

To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.

[tex](10 < y < 12) - (6 < x < 7)[/tex]

This gives:

[tex]10 - 6 < y - x < 12 - 7[/tex]

[tex]4 < y - x < 5[/tex]

This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:

[tex]y - x = \{4.5, ...,4.9\}[/tex]

To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.

[tex](6 < x < 7) \times (10 < y < 12)[/tex]  

This gives:

[tex]6 \times 10 < x \times y < 7 \times 12[/tex]

[tex]60 < x \times y < 84[/tex]

[tex]60 < xy < 84[/tex]

This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:

[tex]xy = \{61,62,...83\}[/tex]

To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.

[tex](10 < y < 12) \div (6 < x < 7)[/tex]

This gives:

[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]

This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:

[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Hence, the solutions and possible values to the inequalities are:

[tex]16 < x + y < 19[/tex]  [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]

[tex]4 < y - x < 5[/tex]  [tex]\to[/tex]   [tex]y - x = \{4.5, 4.9...\}[/tex]

[tex]60 < xy < 84[/tex]   [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]  [tex]\to[/tex]  [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Read more about inequalities:

https://brainly.com/question/20383699

Answer: B )HDG This is the answer stay safe.

Answer:

b. HDG

Step-by-step explanation:

Three or more points that lie on the same line are collinear points. The points D is on the same line as H and G.

So the anwser would be B.

Step-by-step explanation:

If the tickets given to employees = 40

Then tickets given to listeners = 2 x no of employees tickets

= 2 x40 = 80

Total tickets = 40+ 80 = 120

Answer:

d. (x+2)/(-x²-5)

Step-by-step explanation

 ƒ(x) = x + 2/(2x²)

The function is undefined when x =  0.

b. ƒ(x) = (2x + 4)/(3x + 3)

The function is undefined when 3x + 3 = 0, i.e., when x = -1.

c. ƒ(x) = (6x - 5)/(x² - 7)

The function is undefined when x² - 7 = 0, i.e., when x = √7.

d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)

The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.

This function has no excluded values.

Answer:

C

Step-by-step explanation:

Standard form is f(x) = ax² + bx + c.

f(x) = -(x - 4)² + 2

= -(x² - 8x + 16) + 2

= -x² + 8x - 16 + 2

= -x² + 8x - 14

Hi,

the correct answer is C

This is the correct equation: f(x) = -x^2 + 8x - 14

XD

P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)

Answer:

c = 90

Step-by-step explanation:

Answer:

127.28 (2dp)

Step-by-step explanation:

Using Pythagorean Theorem:

[tex]a^2+b^2=c^2\\90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\c=\sqrt{16200}\approx127.279221\\127.28[/tex]

Answer:

X=-4.525

Step-by-step explanation:

-4(2x-1)=-6(x+2)-2.1.

-8x+4=-12x-12-2.1.

-8x+12x=-14.1-4

4x=-18.1

X=-18.1/4

X=-4.525

Answer:

Solution,

[tex]9.25 - \frac{1}{2} + \frac{3}{8} \\ = \frac{9.25 \times 8 - 1 \times 4 + 3}{8} \\ = \frac{74 - 4 + 3}{8} \\ = \frac{74 + 3 - 4}{8} \\ = \frac{77 - 4}{8} \\ = \frac{73}{8} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

9 1/8 or 9.125

Step-by-step explanation:

9.25 - 1/2 +3/8= 37/4 - 4/8+3/8= 74/8 -1/8= 73/8= 9 1/8 or 9.125

Answer:

Graph A is the answer

Step-by-step explanation:

Graph A is correct.

We have an inequality -

[tex]y < \frac{3x}{4}+2[/tex]

We have to graph this inequality and select the correct option.

Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.

We have in our question an inequality as -

[tex]y < \frac{3x}{4}+2[/tex]

Follow the following steps to reach the graph -

STEP 1 ->

Replace the ' < ' sign with ' = ' sign and plot the graph of the equation formed - [tex]y = \frac{3x}{4}+2[/tex]

which is same as y = mx + c.

On comparing : m = [tex]\frac{3}{4}[/tex]  and  c =2.

Therefore, this line intersects the y - axis at the point (0, 2).

STEP 2 ->

Since the line does not pass through (0,0) we can consider it as our test point. Substituting x = y = 0 in the inequality, we get -

0 < 0 + 2

0 < 2, which is true.

We will shade the area in which (0,0) lies.

STEP 3 ->

Since the inequality is a strict inequality, the line will be a dotted line.

Hence, Graph A is correct.

To solve more questions on plotting the graphs of inequality, visit the link below -

https://brainly.com/question/25851784

#SPJ2

Answer:

B 267.9

Step-by-step explanation:

the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9

Answer:

x=1

Step-by-step explanation:

it is the point of intersection of both lines which (1,1)

for x=1 both produce same value i.e.,1

Answer:

There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.

There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.

Probability = 16 / 2704 = 1 / 169

Answer:

D.

Step-by-step explanation:

" Sum" means "+".

The sum of the number of dogs and the 6 cats.

d + 6

Answer:

Option D

Step-by-step explanation:

Sum is Adding (+)

So,

The expression becomes

=> d+6

Answer:

a) The probability that a random movie is between 1.8 and 2.0 hours = 0.2586.

b) The probability that a random movie is longer than 2.3 hours is 0.0918.

c) The length of movie that is shorter than 94% of the movies is 1.4 hours

Step-by-step explanation:

In the above question, we would solve it using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation

a) A random movie is between 1.8 and 2.0 hours

z = (x-μ)/σ,

x1 = 1.8,

x2 = 2.0

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

z1 = (1.8 - 1.9)/0.3

z1 = -1/0.3

z1 = -0.33333

Using the z score table

P(z1 = -0.33) = 0.3707

z2 = (2.0 - 1.9)/0.3

z1 = 1/0.3

z1 = 0.33333

p(z2 = 0.33) = 0.6293

= P(- 0.33 ≤ z ≤ 0.33)

= 0.6293 - 0.3707

= 0.2586

The probability that a random movie is between 1.8 and 2.0 hours = 0.2586

b) A movie is longer than 2.3 hours

z = (x-μ)/σ,

x1 = 2.3

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

z = (2.3 - 1.9)/0.3

z = 4/0.3

z = 1.33333

P(z = 1.33) = 0.90824

P(x>2.3) = = 1 - 0.90824

= 0.091759

≈ 0.0918

The probability that a random movie is longer than 2.3 hours is 0.0918.

3) The length of movie that is shorter than 94% of the movies.

z = (x-μ)/σ

Probability (z ) = 94% = 0.94

Movie that is shorter than 0.94

= P(1 - 0.94) = P(0.06)

Finding the P (x< 0.06) = -1.555

≈ -1.56

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

-1.56 = (x - 1.9)/ 0.3

Cross multiply

-1.56 × 0.3 = x - 1.9

- 0.468 + 1.9 = x

= 1.432 hours

≈ 1.4 hours

Therefore, the length of movie that is shorter than 94% of the movies is 1.4 hours

Answer:

-3,2

Step-by-step explanation:

x axis goes first which is the one across, y axis is the one going up and down.  that's quadrant 2 which means x is negative and y is positive