Marie is riding her bike at 15 miles per hour. What is her rate of speed in feet per second?
5.9
1.5
88
22

Answers

Answer 1

Answer:

22

Step-by-step explanation:

We know that 1 miles = 5280 ft  and 1 hour = 3600 seconds

15 miles         5280 ft         1 hour

--------------- * ------------- *   --------------        =

1 hour               1 mile        3600 second

The units cancel leaving us ft/s

22 ft/s


Related Questions

The table below shows the cost of mailing a postcard in different years.

Answers

Answer:

the cost increased the most in 2006 - 2012

The cost increase at the greatest average rate in the time interval from 2006 to 2012 will be 1.833.

What is the average rate?

The average rapid change describes how quickly one quantity changes in comparison to another.

The table is shown.

It is clear that in six years, the rate of the cost of mailing a postcard will be 11. Then the average rate will be

Average rate = 11/ 6

Average rate = 1.833

Thus, the cost increase at the greatest average rate in the time interval from 2006 to 2012 will be 1.833.

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solve x squared - 12x + 36 = 0 using the Quadratic formula.

Answers

Answer:

x = 6

Step-by-step explanation:

Equation: x² - 12x + 36 = 0

Quadratic formula: ax² + bx + c = 0 --> x = (-b ± √(b² - 4ac))/2a

Substitute: x = (12 ± √(12² - 4 * 36))/2

Multiply: x = (12 ± √(144 - 144))/2

Subtract: x = (12 ± 0)/2

Solve: x = 6

Answer:

The value of x = 6

Step-by-step explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that,

x² -12x + 36 = 0

To find the solution of given equation

Here a = 1, b = -12 and c = 36

x = [-b ± √(b² - 4ac)]/2a

 =  [--12 ± √((-12)² - 4*1*36)]/2*1

 = [12 ± √(144 - 144)]/2

 = 12/2 = 6

The value of x = 6

Solve the inequality 16 – 7a ≥ –33.

A. a > –7
B. a < –7
C. a ≥ 7
D. a ≤ 7

Answers

Answer:

d???

Step-by-step explanation:

16-7a=-33

-16 | -16

____________

-7a/-7a| -49/-7a

a=7

16- (7•7)= 33

What is Sally’s greatest single expense?
Lunches
Room and board
Saving and insurance
What percent is this expense of her income (to the nearest percent)?
7
5
30

Answers

Answer:

Room and board

30%

Step-by-step explanation:

If you look at the numbers in the table, you can easily see Room and board is the largest expense, with $127.50, three times more than the second place.

Now, to find the percent of that expense vs her income we just have to divide this big expense ($127.50) by the total income she has ($425).

% = $127.50 / $425 = 30%

So, that expense is 30% of her income, that's a big chunk, but it's normal for lodging expenses.

PLEASEEEE!! I NEED HELP !!

Answers

Answer:

I did this question just the other day. The answer you are looking for is B or the second one.

Step-by-step explanation:

Answer:

The correct answer option is B. [tex] a _ 1 = -4[/tex], [tex] r = \frac{1}{2} [/tex], [tex] n = 6 [/tex], [tex] S_n = -\frac{63}{8} [/tex].

Step-by-step explanation:

We are given the following:

[tex]6_\sum_{n=1}[/tex] [tex]-4(\frac{1}{2} )^{n-1}[/tex]

and we are to identify the first term ( [tex] a _ 1 [/tex] ), common ratio ( [tex] r [/tex] ), number of terms ( [tex] n [/tex] ) and the sum of n terms ( [tex] S_n [/tex] ).

Here, [tex] a _ 1 = -4[/tex],

[tex] r = \frac{1}{2} [/tex],

[tex] n = 6 [/tex]; and

[tex]S_n = \frac{a_1(1-r^n)}{(1-r)} = \frac{-4(1-0.5^6)}{(1-0.5)} = -\frac{63}{8}[/tex]

External probability

Answers

Answer:

The correct answer option is 0.8.

Step-by-step explanation:

We are given the results of spinning a four colored spinner 50 times and we are to find the experimental probability of not getting a blue (in decimal).

Number of times blue spinner is spun = 10

Total number of times spinner is spun = 50

P (not blue) = [tex] 1 - \frac { 1 0 } { 5  0 } = 1 - \frac { 1 } { 5 } =\frac{4}{5}[/tex] = 0.8

The answer above is right

There were two containers of oil. There was twice as much oil in the second container as in the first one. After using 13 liters of oil from the first container and 7 liters from the second one, the second container still had 3 times more oil than the first one. How many liters of oil in total were in both containers originally?
PLEASE HELP WILL MARK BRIANLEIST ANSWER

Answers

Answer:

The total liters of oil in the first container originally was 32 liters

total liters of oil in the second container originally was 64 liters

Step-by-step explanation:

Let

x----> total liters of oil in the first container originally

y----> total liters of oil in the second container originally

we know that

y=2x ----> equation A

(y-7)=3(x-13) ----> equation B

substitute equation A in equation B

(2x-7)=3(x-13)

2x-7=3x-39

3x-2x=39-7

x=32 liters

Find the value of y

y=2(32)=64 liters

Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance between points A and B is 264 miles. What is the speeds of the cars, if one of the cars travels 14 mph faster than the other?

Please help
I've done all my homework and this is the only problem I can't understand

Answers

Hello!

The answers are:

[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]

Why?

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

[tex]x_{FirstCar}=x_o+v*t[/tex]

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

[tex]x_{SecondCar}=x_o+(v+14mph)*t[/tex]

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles,  so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

[tex]RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph[/tex]

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

[tex]2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours[/tex]

Writing the equation:

[tex]264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph[/tex]

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

[tex]SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph[/tex]

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]

Have a nice day!

You own 5 pairs of jeans and want to take 2 of them with you on vacation. In how many ways can you choose 2 pairs of jeans?
A. 10 ways
B. 15 ways
C. 4 ways
D. 20 ways

is the answer D?

Answers

the answer would be D

The number of ways to choose 2 pairs of jeans from 5 is calculated using combinations, resulting in 10 different ways, corresponding to option A.

To determine the number of ways to choose 2 pairs of jeans from 5, we need to use the combination formula, which is defined as C(n, k) = n! / (k! * (n-k)!), where 'n' is the total number of items to choose from, 'k' is the number of items to choose, and '!' denotes factorial.

In this case, n = 5 and k = 2. Therefore, the calculation becomes:

C(5, 2) = 5! / (2! * (5 - 2)!)
= (5 * 4 * 3 * 2 * 1) / ((2 * 1) * (3 * 2 * 1))
= (5 * 4) / (2 * 1)
= 20 / 2
= 10 ways.

So, there are 10 ways to choose 2 pairs of jeans from 5 pairs, which corresponds to option A.

Which number is an irrational number?​

Answers

Your Answer is top right (:

on a map 1 inch equals 7.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?

Answers

Answer:

10.8 miles

Step-by-step explanation:

You need to multiply 7.2 by .5 to get half of 7.2.

You now add this answer (which is 3.6) to 7.2 and the sum is 10.8.

This means your answer is 10.8 miles

Express the repeating decimal number as a quotient of two integers 2.63

Answers

Answer:

The way that you would be able to show -63 is 126/-2

Final answer:

The decimal 2.63 is not recurring. However, 2.63 can be expressed as the fraction 263/100 but it cannot be simplified further.

Explanation:

To express the repeating decimal number 2.63 as a quotient of two integers, we can use a straightforward method. First, let's identify the repeating part, which is the "63" after the decimal point. This part repeats infinitely. To convert this into a fraction, we need to set up an equation where x is the repeating decimal:

x = 2.63

Now, we'll subtract the non-repeating part to isolate the repeating part:

100x = 263 (multiplied both sides by 100 to eliminate the decimal)

Now, we'll subtract x from 100x:

100x - x = 263 - 2.63

99x = 260.37

To isolate x, we divide both sides by 99:

x = 260.37 / 99

Now, we can simplify the fraction:

x = 26037 / 9900

To express 2.63 as a quotient of two integers, it is equal to 26037/9900. This fraction can be simplified further if needed, but it is already in the form of two integers.

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What is the experimental probability

Answers

Answer:

choice A is correct

Step-by-step explanation:

For a fair coin, the theoretical probability of obtaining heads or tails is 50%

Increasing the number of trials has the effect of making the experimental probability and theoretical probability equal

Answer:

It's the first option.

Step-by-step explanation:

Assuming it is a fair coin you would expect the experimental probability to get closer to 50%.  

50% is the theoretical probability  for a fair coin because there are 2 equally possible outcomes ,heads or tails.

Maggie answered 20 out of 25 questions correctly on a math test. What percent of the questions did she answer correctly?​

Answers

20/25 x 100 —> 2000/25 = 80%

Answer:

80%

Step-by-step explanation:

students are givien 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question there are 15 questions on the testand the students have been given 55 minutes to complete, which value could reaplce x on the table ​

Answers

You are right, it is in fact 8(15-m)

:D

Answer:

8(15 - m)

Step-by-step explanation:

The perimeter of a rectangle is 524 cm. the length is 42 more than the width. What is the length of the rectangle.

Answers

Answer:

Step-by-step explanation:

PLZ HELP! A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?

Answers

The portion of the trip through the mountains was 112.5 miles.

To find this, first, let's denote the time spent in the plains as [tex]\( t_1 \)[/tex] and the time spent in the mountains as [tex]\( t_2 \)[/tex]. Since the total trip took 3 hours and 48 minutes (which is[tex]\( \frac{3}{4} \) hours[/tex]), we have:

[tex]\[ t_1 + t_2 = 3.75 \][/tex]

The distance traveled in the plains is [tex]\( d_1 = 90t_1 \)[/tex] and in the mountains is[tex]\( d_2 = 37.5t_2 \)[/tex]. The total distance traveled is 300 miles, so:

[tex]\[ d_1 + d_2 = 300 \][/tex]

Substituting the expressions for [tex]\( d_1 \)[/tex] and [tex]\( d_2 \):[/tex]

[tex]\[ 90t_1 + 37.5t_2 = 300 \][/tex]

We can rearrange the first equation to express [tex]\( t_1 \)[/tex] in terms of [tex]\( t_2 \)[/tex]:

[tex]\[ t_1 = 3.75 - t_2 \][/tex]

Substituting this into the second equation:

[tex]\[ 90(3.75 - t_2) + 37.5t_2 = 300 \][/tex]

[tex]\[ 337.5 - 90t_2 + 37.5t_2 = 300 \][/tex]

[tex]\[ 337.5 - 52.5t_2 = 300 \][/tex]

[tex]\[ 52.5t_2 = 37.5 \][/tex]

[tex]\[ t_2 = \frac{37.5}{52.5} \][/tex]

[tex]\[ t_2 = \frac{5}{7} \] hours[/tex]

Now, to find the distance traveled in the mountains:

[tex]\[ d_2 = 37.5 \times \frac{5}{7} \][/tex]

[tex]\[ d_2 = 112.5 \] miles[/tex]

So, the portion of the trip through the mountains was 112.5 miles.

Complete question

A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?

solve the formula for the indicated variable h= k/j, for k

Answers

k=hj

do u mean to make subject of k

The formula after substitution of indicated variable, k is k = h*j .

What is the formula after substitution of the given variable in the problem ?

The given formula in the question is h = k/j .

We have to substitute the formula to find the required parameter variable k .

Thus we have ,

⇒ h = k/j

∴  k = h*j .

Therefore, the formula after substitution of indicated variable, k is k = h*j .

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Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.2 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.

Answers

To build a scale model, the student's school height is first converted to centimeters using the scale factor (50.4 cm), then divided by the length of a toothpick and a cotton swab respectively to determine how many of each would be needed to reach the scaled height. The model will be 8 toothpicks tall and approximately 7 cotton swabs tall.

To solve the problem of building a scale model of the student's school, we need to apply the scale factor provided and the measurements of the materials at hand. The school is 30 feet tall, and the scale is 1 ft:1.68 cm.

To calculate the height of the model in toothpicks, we'll convert the height of the school from feet to centimeters, and then divide by the length of a toothpick:

Multiply the actual height by the scale factor: 30 ft × 1.68 cm/ft = 50.4 cm.Divide the scaled height by the length of a toothpick: 50.4 cm ÷ 6.3 cm/toothpick = 8 toothpicks. Therefore, the model will be 8 toothpicks tall.

For the model in cotton swabs, we'll also convert the height to centimeters and then divide by the length of a cotton swab:

Multiply the actual height by the scale factor: 30 ft × 1.68 cm/ft = 50.4 cm.Divide the scaled height by the length of a cotton swab: 50.4 cm ÷ 7.2 cm/cotton swab = 7 cotton swabs. After rounding, the model will be approximately 7 cotton swabs tall.

Complete Question is :

"You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is 1 ft:1.68 cm. If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be? The model will be toothpicks tall. Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.2 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number. The model will be approximately cotton swabs tall."

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Complete the function table and write the function rule.

Answers

ANSWER

[tex]f(x) = x - 12[/tex]

EXPLANATION

The first x-value is 32.

When we subtract 12 from 32, we get:

[tex]32 - 12 =2 0[/tex]

The next y-value is 14.

When we subtract 12 from 14, we get:

[tex]14 - 12 = 2[/tex]

Also when we subtract 12 from -2, we get,

[tex] - 2 - 12 = - 14[/tex]

Let m be the missing x-value,then

[tex]m - 12 = - 6[/tex]

This implies that,

[tex]m = - 6 + 12[/tex]

[tex]m = 6[/tex]

Let n be the missing y-value, then

[tex] - 10 - 12 = n[/tex]

[tex]n = - 22[/tex]

Therefore we can generalize and write the function rule,

[tex]f(x) = x - 12[/tex]

Translate the English phrase into an algebraic expression: the difference of 17x2 and 5xy.​

Answers

Answer:

(17 × 2) ÷ ( 5x × y )

Step-by-step explanation:

Difference = Division

Final answer:

The English phrase 'the difference of 17x2 and 5xy' translates to 17x2 - 5xy in algebraic expression.

Explanation:

The phrase 'the difference of 17x2 and 5xy' can be translated into an algebraic expression by replacing the words with their corresponding algebraic symbols. 'Difference' in mathematics means subtraction, '17x2' is a multiplicative expression and '5xy' is as well. So, the phrase can be translated to 17x2 - 5xy.

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What is the relationship between 1 meter and 1 centimeter?

Answers

Answer:

there are 100 centimeters in a meter

Step-by-step explanation:

you can remember this by the prefix centi which means 100.

(5y+4+) (-2y+6) find the sum ​

Answers

Final answer:

The expression (5y+4)*(-2y+6) simplifies to -10y² + 22y + 24 when multiplied out using the distribution method. Note, it's very important to use the correct syntax when writing mathematical expressions, clarity helps avoid mistakes.

Explanation:

Your question appears to be asking for the result of multiplying two polynomial expressions. However, your question contains a syntax error. It should properly be written as '(5y+4)*(-2y+6)'.

To find the result, you can use the distribution method also known as the FOIL method(First, Outer, Inner, Last). Let's walk through this step by step.

First: Multiply the first terms in each binomial: 5y*-2y=-10y²

Outer: Multiply the outer terms: 5y*6=30y

Inner: Multiply the inner terms: 4*-2y=-8y

Last: Multiply the last terms: 4*6=24

So we have -10y² + 30y - 8y + 24. Combine like terms to get the final answer: -10y² + 22y + 24.

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(-m^2+6)+(-4m^2+7m+2)​

Answers

Answer:

[tex]-5m^2+7m+8[/tex]

Step-by-step explanation:

We are given the equations

[tex](-m^2+6)+(-4m^2+7+2)[/tex]

We need to combine like terms. As there are no exponents or numbers outside the parenthesis, we can just drop them and add all like terms

[tex]-m^2+6-4m^2+7m+2\\\\-5m^2+7m+8[/tex]

Galen sold tickets for his church's carnival for a total of $2820. children's tickets cost $ 3 each and adult ticket cost $5 each . the number of children ticket sold was 30 more than 3 times the number of adult ticket sold. how many children ticket and how many adult ticket did he sell

Answers

Step-by-step explanation:

It is solved above

no of children and adult are let as x and y respectively

Final answer:

Galen sold 195 adult tickets and 645 children's tickets at the church carnival.

Explanation:

Let's assume that the number of adult tickets sold is x.

The number of children's tickets sold is 30 more than 3 times the number of adult tickets sold. So, the number of children's tickets sold would be 3x + 30.

The total amount earned from selling adult tickets would be 5x, and the total amount earned from selling children's tickets would be 3(3x + 30) = 9x + 90.

Since the total amount earned from selling all the tickets is $2820, we can set up the equation:

5x + 9x + 90 = 2820

Simplifying the equation,

14x + 90 = 2820

Subtracting 90 from both sides,

14x = 2730

Dividing both sides by 14,

x = 195

Therefore, Galen sold 195 adult tickets. And the number of children's tickets sold would be 3(195) + 30 = 615 + 30 = 645.

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Students in 7th grade took a standardized math test that they also had taken in 5th grade. The results are shown on the dot plot, with the most recent data shown first.


Which statement is true?

Both data sets have a gap.

Both data sets have the same median.

Both plots have the same mode.

Both data sets have the same number of data points.

Answers

Answer:

both sets have the same number of points

Answer:

It is d.

Step-by-step explanation:

They have different medians and modes.  The 7th grade results , as you would expect, show better results than the 5th grade data.

What is the value of x?
360
x = [?]​

Answers

Answer:

x = 54

Step-by-step explanation:

The line is tangent. Therefore, the angle between the tangent and the radius is the right angle.

We know: the sum of the angles measures in a triangle is 180°.

Therefore we have the equation:

[tex]x+36+90=180[/tex]          combine like terms

[tex]x+126=180[/tex]            subtract 126 from both sides

[tex]x=54[/tex]

The value of x is [tex]54^{0}[/tex].

What is tangent?

A line that touches the circle at a single point is known as a tangent to a circle.

As by theorem:

The tangent is always perpendicular to the radius of the circle.

Also, The sum of the angles measures in a triangle is 180°.

By, Using Angle Sum property, we have

90 + x + 36 = 180

x+ 126= 180

x= 180-126

x= 54[tex]^{0}[/tex]

Hence, the value of x is [tex]54^{0}[/tex].

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what would the answer to this question be? show work please

Answers

Answer:

B

Step-by-step explanation:

The volume of a rectangular prism is the length times width times height.

V = LWH

V = (4√3)(3√6)W

V = 12√18 W

V = 36√2 W

If the volume is irrational, then W cannot have a radical that is half of a perfect square, because when multiplied by √2, that would yield a rational volume.  For example, √18 × √2 = √36 = 6.

Therefore, the answer must be B, because 12 is not half of a perfect square.

V = 36√2 (4√12)

V = 144√24

V = 288√6

42 1/2 < or > 42.500 =
Help me please

Answers

Answer:

42 1/2>42.500

Step-by-step explanation:

Evaluate.

2 • {[5 • (60 – 14 ÷ 7)] + 25} • 5

Answers

Answer:

3,150.

Step-by-step explanation:

2 · {[ 5 · ( 60 - 2 )] + 25 } · 5.2 · {[ 5 · ( 58 )] + 25 } · 5.2 · { 290 + 25 } · 5.2 · { 315 } · 5.630 · 5.3,150.

These are all of the steps to completely and correctly solve this question.

Hope this helps.

Kyle.

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