At a rate of 36 miles per hour, it takes Henry 15 minutes to drive from the library to his house. Show how to find the distance that Henry traveled. Include units in your calculation.

Answers

Answer 1

This is applying the formula
[tex]distance=rate*time[/tex]

We have a slight problem, though, because we are measuring rate in miles per hour, and we are measuring time in minutes. To make this problem solvable, we need to convert to either miles per minute or convert the time to hours. I'm going to convert the 15 minutes into hours:
[tex]15min*\frac{1 hour}{60 min}=\frac{1}{4}hour[/tex]

Now that all of the units match, we have:
[tex]distance=36\frac{mi}{hr}*\frac{1}{4}hr[/tex]

You can finish from there I'm sure.

Related Questions

Evaluate these questions
3a+2a=

c+d there is a line under this one
ad

Answers

Get photo math it would help you out with all of your math problems

Greetings!

1)
For this question we can combine the terms together as they are like:
[tex]3a+2a[/tex]
Combine like terms.
[tex]=5a[/tex]

Hope this helps.
-Benjamin

Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., averaging 225 mph and flying due east. At 5:00 p.m., how far apart will the planes be?

Answers

Answer 1061

Step-by-step explanation:

Answer:

At 5:00 p.m. the planes will be [tex]1061.323[/tex] miles apart.

Step-by-step explanation:

To solve this problem, I add a picture of the situation.

We know that speed is distance over time ⇒

[tex]Speed=\frac{distance}{time}[/tex] (I)

The first step to solve this exercise is to graph the situation. We can draw a right triangle which vertices will be ''Tulsa'', and the planes ''A'' and ''B'' at 5:00 p.m.

In order to know the measures of the sides, we are going to calculate them using the equation (I)

Plane A leaves Tulsa at 2:00 p.m.

Therefore, at 5:00 p.m. it will have flown 3 hours ⇒

[tex]300\frac{mi}{h}=\frac{distance}{3h}[/tex] ⇒

[tex]distance=(300\frac{mi}{h}).(3h)[/tex]

[tex]distance=900mi[/tex]

At 5:00 p.m. the distance from the plane A to Tulsa is 900 mi

Plane B leaves Tulsa at 2:30 p.m.

Therefore, at 5:00 p.m. it will have flown 2.5 hours ⇒

[tex]225\frac{mi}{h}=\frac{distance}{2.5h}[/tex]

[tex]distance=(225\frac{mi}{h}).(2.5h)[/tex]

[tex]distance=562.5mi[/tex]

At 5:00 p.m. the distance from the plane B to Tulsa is 562.5 mi

Finally, we can find the distance between the plane A and the plane B using the Pythagorean theorem :

[tex](900mi)^{2}+(562.5mi)^{2}=(Distance_{A-B})^{2}[/tex]

[tex]810000mi^{2}+316406.25mi^{2}=(Distance_{A-B})^{2}[/tex]

[tex](Distance_{A-B})^{2}=1126406.25mi^{2}[/tex]

[tex]Distance_{A-B}=\sqrt{1126406.25mi^{2}}[/tex]

[tex]Distance_{A-B}=1061.322877mi[/tex] ≅ [tex]1061.323mi[/tex]

At 5:00 p.m. the planes will be 1061.323 miles apart.

Which trigonometric ratios are correct for triangle ABC? Check all that apply

Answers

Consider an angle M with measure m≠90°, in a right triangle.

Let

OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and
HYP denote the hypotenuse.

then:

Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ

Back to our problem,

using the Pythagorean we can find the length of AB:

[tex]|AB|^2+|AC|^2=|BC|^2\\\\|AB|^2+9^2=18^2\\\\|AB|^2=18^2-9^2\\\\|AB|^2=(18-9)(18+9)=9 \cdot 27=9 \cdot 9 \cdot3\\\\|AB|=9 \sqrt{3} [/tex]

[tex]Sin(C)= \frac{OPP}{HYP}=\frac{9 \sqrt{3} }{18}= \frac{ \sqrt{3} }{2}[/tex]
[tex]Cos(B)= \frac{ADJ}{HYP}= \frac{9 \sqrt{3}}{18}= \frac{ \sqrt{3}}{2} [/tex]
[tex]Tan(C)= \frac{OPP}{ADJ}= \frac{9 \sqrt{3} }{9}= \sqrt{3} [/tex]
[tex]Sin(B)= \frac{OPP}{HYP}= \frac{9}{18}= \frac{1}{2} [/tex]
[tex]Tan(B)= \frac{OPP}{ADJ}= \frac{9}{9 \sqrt{3}}= \frac{1}{ \sqrt{3} }= \frac{ \sqrt{3}}{3} [/tex]

Answer: 1, 3, 4

what numbers are divisible by 7?
a.75 b.35 c.20 d.30

Answers

35 is the answer
Thanks (;

35 is the only number divisible by 7.

I flip a fair coin four times what is the probability that i get more heads than tails

Answers

it will always be 50% heads 50% tails

Mrs marks has 3/4 pound of cheese to use making sandwiches she uses about 1/32 pound of cheese on each sandwich how many sandwiches can she make with the cheese she has?

Answers

3/4 = 24/32 and if each sandwich uses 1/32 cheese then she can make 24 sandwiches

(3/4) / (1/32) ...when dividing fractions, flip what u r dividing by, then multiply
3/4 * 32/1 = 24....so she can make 24 sandwiches

40% of a 12,000 acre forest is being logged how many acres will be logged

Answers

12000 x 0.40 = 4800

12000 - 4800 = 7200

7200 acres are being logged

hope this helps

40% = 0.40

0.40 (12,000) = 4,800

answer

4,800 acre is 40% of a 12,000 acre

PLZ PLZ HELP
Which graph represents the solution set of the system of inequalities?

{y<2/3xy≥−x+2

Answers

It is the third one on the graph.

Answer:

it was the 3rd one. i took the test :)

Find a point on the y-axis that is equidistant from the points (4, −4) and (1, 1).

Answers

hello :
a point on the y-axis is : P( 0, y)
PA = PB or PA² = PB².... A(4 , -4) B(1,1)
(4-0)²+(-4-y)² = (1-0)² + (1-y)²
16 +y² +8y +16 = 1 + 1 -2y +y²
10y = -30
y = -3

$250 is discounted into $212.50 what is the percent decrease

Answers

450 all together I think

15%
250 - 15% = 212.50

What is the answer for this problem

Answers

9 + 15 / 5 x 13 =
9 + 3 x 13 =
9 + 39 = 48

15/5=3
3x13=39
39+9=48

Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 7.

y=15 when x=6

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ ----------------------------\\\\ \textit{we also know that } \begin{cases} y=15\\ x=6 \end{cases}\implies 15=k6\implies \cfrac{15}{6}=k \\\\\\ therefore\qquad \boxed{y=\cfrac{15}{6}x}\\\\ ----------------------------\\\\ \textit{what's \underline{y} when x=7?}\qquad y=\cfrac{15}{6}\cdot 7[/tex]

Final answer:

To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We can find the value of k by substituting the given values into the equation. Once we have the value of k, we can write the direct variation equation that relates x and y. Finally, we can find the value of y for a given value of x by substituting it into the equation.

Explanation:

To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We are given that y = 15 when x = 6. To find k, we can substitute these values into the equation:

15 = k * 6

To find the value of k, we divide both sides by 6:

k = 15/6 = 2.5

Now we can write the direct variation equation that relates x and y:

y = 2.5x

To find the value of y when x = 7, we substitute x = 7 into the equation:

y = 2.5 * 7 = 17.5

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Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. the boat sold for how much?

Answers

2250 is the answer problem 15% of 15,000

What is the area of a circle with radius 14 units, to the nearest hundredth?

Answers

Take the radius and find the diameter. Then multiply the diameter by 'pi.'
14×2=28
28×pi=88

NEED HELP ASAP!!!!!!!

Solve the equation.

e² = 0.36

Enter your answer in the box.

e = ±

Answers

square root of 36 = +/-6 so square root of 0.36 is +/0.6

Answer:

0.6

Step-by-step explanation:

took the test

Complete the steps to the factor the tens. 30x40=( n x 10) x ( n x 10)=( n x n) x (10 x10)= n x 100 = n

Answers

the corrent answer is 20 please mark the brainliest if this helps

Determine the solution of the system. Show your work.
Y = 5x – 9
Y = 2x + 6

Answers

Both define y, so they are equivalent.

5x-9=2x+6
3x-9=6
3x=15
x=5

Then plug in x into any of the equations
y=2(5)+6
y=10+6
y=16

Final answer: (5,16)

The solution is (x, y) = (5, 16). My "work" is to make use of a graphing calculator.

_____

You can subtract the second equation from the first. This gives

... 0 = 3x -15

Then, divide by 3 and add 5.

... 0 = x - 5

... 5 = x

Substitute this value into either equation to find y.

... y = 2x +6

... y = 2·5 +6

... y = 16

The strategy to subtract the second equation from the first is based on the observation that both equations give expressions for y, and the x-coefficient in the first equation is the larger of the two x-coefficients. Thus, the subtraction we chose will eliminate y and give an x-term with a positive coefficient.

If a measurement follows a normal (bell-shaped) frequency curve, then percent of the population will have a z-score below .36.

Answers

Refer to the standard table for the normal distribution shown below.

From the normal distribution tables, when z < 0.36, obtain
P(z < 0.36) = 0.6406 ≈ 64 percent

Answer: 64% (nearest integer)

Staci has seven more cats then Taylor. Write an expression that illustrates how many cats Staci has. Use x to represent the number of cats Taylor has./4899345/032a37eb?utm_source=registration

Answers

x = number of cats Taylor has

Staci has seven more than this so:
x + 7 = number of cats Staci has

To which set of numbers does the number -12 belong?

Answers

that belongs to the integers set, also rational and real number set

integers are like -4,-3,-2,-1,0,1,2,3,4 etc
rational numbers are number that can be written in form a/b where a and b are integers and b≠0
real numbes include rational numbers

so integers, rational number and real numbers

Which expression represents the phrase "half the sum of 10 and a number"

Answers

the answer should be 10/n

i know this is very late but for future people its

1/2 (10 + x)

Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.

How many points was each multiple choice question worth?
Enter your answer in the box.

Answers

I think its 91.

NOT Guaranteed this is the Answer. Best of luck to you.

I think its 91. hope this helps

(01.02) given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25

Answers

hello :
f(x) = 2x + 5 and g(x) = x − 7
f(g(-3))=f (-3-7) =f(-10) = 2(-10)+5 = -20+5 = -15

You are ordering a hamburger and can get up to 8 toppings, but each topping can only be used once. you tell the cashier to surprise you with the toppings you get. what is the probability that you get 2 toppings? express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Final answer:

The probability of getting 2 toppings on the hamburger is 1/28 or approximately 0.0357.

Explanation:

To calculate the probability of getting exactly 2 toppings on your hamburger, we need to consider the total number of possible combinations of toppings and the number of ways to choose 2 toppings out of those combinations.

There are 8 toppings in total, so the total number of possible combinations is 8 choose 2, which is calculated as 8! / (2! * (8-2)!), or 28.

Since you want exactly 2 toppings, the probability is the number of ways to choose 2 toppings out of the total combinations divided by the total number of possible combinations, which is 1/28 or approximately 0.0357 (rounded to four decimal places).

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Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.

falls with a constant speed of -10 m/s.

falls with a acceleration of -10 m/s/s

falls under the sole influence of gravity

falls with downward acceleration which has a constant magnitude

Answers

Hi! C and D are not the answers, because they do fall downward and with the force of gravity. It does fall with an acceleration of -10 m/s. The object actually falls faster as it gets closer to ground and above 10 m/s, so the speed is not constant. The answer is A.

The statement which is NOT true among the given options is the first option - falls with a constant speed of -10 m/s.

In order to the determine which of the statements is NOT true, we will study each of the options one after the other.

For the first option - "falls with a constant speed of -10 m/s"

When an object is in a state of free fall, the speed is not constant. The speed actually increases as it moves closer to the ground.

∴ The first option is NOT true

For the second option - "falls with a acceleration of -10 m/s/s"

An object that is falling freely, falls under the influence of gravity. Acceleration due to gravity is approximately 10 m/s/s (10m/s²).

Therefore, an object in a state of free fall, falls with an acceleration of -10 m/s/s (The negative sign indicates deceleration, because the object is moving towards the ground).

∴The second option is true

For the third option - falls under the sole influence of gravity

As stated earlier, an object in a state of free fall, falls under the influence of gravity.

∴ The third option is true

For the fourth option - "falls with downward acceleration which has a constant magnitude"

As stated earlier, an object in a state of free fall, falls under the influence of gravity and acceleration due to gravity is approximately 10 m/s/s (10m/s²). This value is constant.

∴ The fourth option is true

Hence, the statement which is NOT true among the given options is the first option, falls with a constant speed of -10 m/s

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If cot= 2/3 what is the value of Csc

Answers

So cot= inverse tan
Tan= opposite over adjacent. So 3/2
This means the hypotenuse is square root of 13
Csc is inverse sin
Sin = opposite \ Hypotenuse
Sin = 3/Square root of 13
Csc = square root of 13/ 3

A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet? PLEASEEE HELP

Answers

The jet could fly 2,000 miles in 8 hours and the rate of speed is 250miles per hour.

Logan has a change jar that contains only pennies and nickels. he has 64 coins which add up to a total of $1.52. how many of each type of coin does he have?

Answers

6 nickels 19 quarters

How can I evaluate this question?

Answers

[tex]\bf \left(x^2-\cfrac{2}{\sqrt{x}}+1 \right)(\sqrt[3]{x}+3x-4)\quad \begin{cases} \frac{2}{\sqrt{x}}\implies \frac{2}{x^{\frac{1}{2}}}\implies 2x^{-\frac{1}{2}}\\\\ \sqrt[3]{x}\implies x^{\frac{1}{3}} \end{cases} \\\\\\ (x^2-2x^{-\frac{1}{2}}+1)(x^{\frac{1}{3}}+3x-4)[/tex]

[tex]\bf \\\\\\ \begin{cases} x^2\cdot x^{\frac{1}{3}}+3x^3-4x^2\\\\ -2x^{-\frac{1}{2}}\cdot x^{\frac{1}{3}}-2x^{-\frac{1}{2}}\cdot 3x+2x^{-\frac{1}{2}}\cdot 4\\\\ +x^{\frac{1}{3}}+3x-4 \end{cases} \\\\\\ \begin{cases} x^{2+\frac{1}{3}}+3x^3-4x^2\\\\ -2x^{-\frac{1}{2}+\frac{1}{3}}-6x^{-\frac{1}{2}+1}+8x^{-\frac{1}{2}}\\\\ +x^{\frac{1}{3}}+3x-4 \end{cases}[/tex]

[tex]\bf x^{\frac{7}{3}}+3x^3-4x^2-2x^{-\frac{1}{6}}-6x^{\frac{1}{2}}+8x^{-\frac{1}{2}}+x^{\frac{1}{3}}+3x-4 \\\\\\ \sqrt[3]{x^7}+3x^3-4x^2-\cfrac{2}{x^{\frac{1}{6}}}-6\sqrt{x}+\cfrac{8}{x^{\frac{1}{2}}}+\sqrt[3]{x}+3x-4 \\\\\\ x^2\sqrt[3]{x}+3x^3-4x^2-\cfrac{2}{\sqrt[6]{x}}-6\sqrt{x}+\cfrac{8}{\sqrt{x}}+\sqrt[3]{x}+3x-4[/tex]

1. Find the perimeter and area of a rectangle with a length of 3.2 m and a width of 1.5 m.
A) p=4.7 m; A=2.25 m^2
B) p=4.7 m; A=4.8^2
C) p=9.4 m; A=2.4 m^2
D) p=9.4 m; A= 4.8^2

2. Find the area of a triangle with a base of 27 feet and a height of 14 feet.
A) 41 ft^2
B) 82 ft^2
C) 189 ft^2
D) 378 ft^2

Answers

1. D) p=9.4 m; A= 4.8 m^2 2. C) 189 ft^2 1. Find the perimeter and area of a rectangle with a length of 3.2 m and a width of 1.5 m. The perimeter of a rectangle is simply twice the sum of it's length and width, so 2(3.2m + 1.5 m) = 2*4.7 = 9.4 m The area of a rectangle is the product of its length and width, so 3.2 m * 1.5 m = 4.8 m^2 Of the available choices, D matches with p=9.4 m; A= 4.8 m^2 2. Find the area of a triangle with a base of 27 feet and a height of 14 feet. The area of a triangle is 1/2 base times height, so 0.5 * 27 ft * 14 ft = 189 ft^2 Of the available choices, C matches with 189 ft^2

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