bob leaves school and starts walking home at a speed of 3 mph. At the same time, his sister leaves their house and starts biking to school at a speed of 12 mph. how far from home is their school if they meet in 10 minutes

Answers

Answer 1

We will see that the distance between the home and the school is 0.5 miles.

How far from home is their school?

We know that they meet in school after 10 minutes.

So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).

This will be:

3 miles per hour *10 minutes.

Note that the units are different, so we write 10 minutes in hours.

1 hour = 60 min.

(1/ 60) hour/min = 1.

Then:

10 min = 10 min*(1/ 60) hour/min = 0.167 hours.

Now we can find the distance to their school as:

D = 3 mi/h*0.167 h = 0.5 miles.

If you want to learn more about speed, you can read:

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Answer 2

Answer:

2.5 miles

Step-by-step explanation:

big brain


Related Questions

HELPPPPPPPPPPPPPP ASAP

Answers

Answer:

Use the formula of Range Large-Small Data

I think it will help you.

What is the experimental probability of rolling a number less than 4?
A: 1/2
B: 16/33
C: 1/22 D: 17/33
what is the answer?
HELP

Answers

Answer:

A. 1/2

Step-by-step explanation:

For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.

Therefore, the experimental probability of rolling a number less than 4 is 1/2.

1/2 because of lm guess your saying a standard number cube a cube has 6 side 1-6 and rolling. A number and getting something less then 4 is 3 cause it’s 1,2,3 and the sides are 6 so it’s 3/6
= 0.5 which is 50% half so A:1/2 is the answer

2. Which exponential function matches the
values in the table below?
х
3
4
5
4,096
32,768
| f(x) 512
A f(x) = x8
B f(x) = 8*
C f(x) = 64(2)*
D f(x) = 8x

Answers

Answer:

B. f(x) = 8*

Step-by-step explanation:

putting the value given in table

=> 512 = 8³

=> 512 = 512

=> 5,096 = 8

=> 5,096 = 5,096

=> 32,768 = 8

=> 32,768 = 32,768

so, it's B f(x) = 8*

Answer:

The answer is B) f(x)=8^x

K is the midpoint of JL if JK =10x and KL = x + 9 what is KL

Answers

Answer:

Step-by-step explanation:

JL = JK + KL

JL = 10x + x + 9

JL = 11x + 9.

What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}

{x | x = -5, -4, -2, 0, 2}
{y l y = -9, -3, 0, 5, 7}
O (x | x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
O tyl y = -9, -5, -4, -3, -2, 0, 2, 5, 7}

Answers

Answer:

{-9, -3, 0, 5, 7}

Step-by-step explanation:

Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:

0, -3, -9, 5, 7

We write them in ascending order:

-9, -3, 0, 5, 7

And this way we get the range

It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.

If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.

given g(x)= cubed root of x-5,on what interval is the function negative?
a. (-infinity,-5)
b. (-infinity,5)
c. (-5,infinity)
d. (5,infinity)

Answers

The cube root function is negative on the interval (-∞, 5), so the correct option is b.

When the function is negative?

Here we have the cube root function:

g(x) = ∛(x - 5)

This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:

x - 5 < 0

x < 5

So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.

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Jerry hiked along a path. From his starting position, he hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley.
The following equation describes this situation.
-25 + 40 = 15
CHOOSE 1 ANSWER
1. Jerry hiked a total of 15 meters
2. the hill was 15 meters higher than the elevation of his starting point
3. None of the above

Answers

Answer:

15 represents where Jerry is after the elevation dropped 25 meters and then rose 40 meters.

Step-by-step explanation:

It's given that Jerry hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley

Hiked downhill = 25 meters

Hiked up = 40 meters

The given equation is

Here, hiked downhill represented by negative sign and hiked up resents by positive sign.

So, 15 represents that Jerry hiked up 15 meters from his starting position.

(2, the hill was 15 meters higher than the elevation of his starting point)

Answer:

2.

Step-by-step explanation:

The hill was -25 + 40 = 15 meters highe than starting point.

What is the answer, I need this for a geometry assignment.

Answers

Answer:

x= 14. (ik this not trig but side opp. 30 angle is half the hypotenuse in right triangle). pls give brainliest

Step-by-step explanation:

Volume of a Cone Level 1

Answers

The volume of the cone is the amount of space in it

The volume of the cone is 264.3 cubic inches

How to determine the volume?

The given parameters are:

Height, h = 9.9 inDiameter, d = 10.1 in

The volume of a cone is then calculated as:

V = 1/3π(d/2)²h

This gives:

V = 1/3 * 3/14 * (10.1/2)² * 9.9

Evaluate the product

V = 264.256905

Approximate

V = 264.3

Hence, the volume of the cone is 264.3 cubic inches

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The owner of a food cart sells an average of 60 frozen treats per day during the summer. Which graph best shows the relationship between the number of days and the number of frozen treats sold?
A) A
B) B
C) C
D) D

Answers

Answer:

Answer is D

Step-by-step explanation:

Day 1 = 60

Day 2 = 120

Day 3 = 180

Day 4 = 240

Day 5 = 300

Day 6 = 360

Day 7 = 420

Day 8 = 480

The graph D will show the best relationship between  the number of days and the number of frozen treats sold.

What is graph?

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.

We can see the linear relationship between frozen treats and number of days.

Day 1 -  60

Day 2 - 120

Day 3-  180

Day 4-   240

Day 5-  300

Day 6-  360

Day 7-  420

Day 8-  480

Hence the graph D will show the best relationship between  the number of days and the number of frozen treats sold.

To know more about graph follow

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#SPJ1

Study the image.

Make a personal connection to the photo. In three to five sentences, write a short essay that explains what type of lighting setup was used and what this image makes you think about. Use specific details in describing what the photo reminds you of personally.

Answers

Answer:

he is on high depression

he is so success ful guy

he makes an advertisement of some thing

he advertises watch

he see going to be a future doing on his life

Find m S
12x +4
G
40°
F
E
D
4x

Answers

Answer: C

Step-by-step explanation:

A study claims that the average home sale price in Kansas is less than the average home sale price in Missouri. The average sales price for 35 home sales in Kansas is $240,993 with a standard deviation of $25,875. The average home sales price for 37 homes in Missouri is $249,237 with a standard deviation of $27,110. At the (alpha) a= 0.10, is there enough evidence to reject the study’s claim?

Complete a full hypothesis test for the following. Include the hypotheses, critical

value(s), test value and graph, your decision to reject or not reject, and a summary of

the information​

Answers

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex] null hypothesis on this data is not rejected.

Null and Alternative Hypothesis

Data;

sample mean x1 = 240993population standard deviation σ1 = 25875sample size n1 = 35sample mean x2 = 249237population standard mean σ2 = 27110sample size n2 = 35significance level α = 0.10

H_o = μ1 = μ2

H_o = μ1 ≠ μ2

This is a two-tailed test and population standard deviation will be used.

Test Statistic

The z-stat is

[tex]z = \frac{x_1 - x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+ \frac{\sigma_1 ^2}{n_2} } } \\z=\frac{240993-249237}{\sqrt{\frac{25875^2}{35}+ \frac{27110^2}{35} } } \\z = \frac{-8244}{6334.6388} \\z = -1.301[/tex]

The significance level is  α = 0.1 and the critical value for a two-tailed test is

[tex]Z_t = Z_1 - _\alpha _/_2 = 1.64[/tex]

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex], we can assume that the null hypothesis is not rejected.

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For a football game. Adult tickets are 8 dollars and student tickets are 5 dollars. The school sells 2570 tickets and makes a total of $19,060.

how many adult ticket were sold

how many student tickets were sold

Answers

You don’t know how many adults were there and how many students were there.

But,

$8(adults) + $5(students) = $19060

And,

Adults + Students = 2570

Let A = adults and S = students

8A + 5S = 19060

A + S = 2570

This is called a system of equations. To solve, you need to rearrange both equations to solve for one of the variables, you can pick any. This makes them cancel out so you can focus on 1 variable. After solving, you can plug the solved variable back into any of the given equations and solve for the second one.

S = 19060/5 - 8A/5

S = 3812 - (8A/5)

This is the first equation rearranged to solve for S

Second:

A + S = 2570

S = 2570 - A

Now, equal each other

3812 - (8A/5) = 2570 - A

Solve for A

3812 + A = 2570 + 8A/5

19060 + 5A = 12850 + 8A

19060 - 12850 = 3A

6210 = 3A

2070 = A

There were 2070 adults

Now, plug A back into any of the 2 equations and solve for S

A + S = 2570

2070 + S = 2570

S = 2570 - 2070

S = 500

2070 adult tickets were sold
500 student tickets were sold

Two sides of a parallelogram are 170 feet and 650 feet. The measure of the angle between these sides is 113°. Find the area of the parallelogram to the nearest square foot.

Answers

The area of the parallelogram is equal to 101716 ft².

Quadrilaterals

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  the opposite sides of a parallelogram are equal and parallel.

Parallelogram Area

You can find the parallelogram area from two formulas:

A=b * h , where b=base and h=height;

A= a*b* sin(Θ), where a=side 1, b=side 2 and Θ=angle between the sides;

The question gives: the length of both sides (170 ft and 650 ft) of the parallelogram and the angle between these sides (113°).

Thus, you can apply the formula: A= a*b* sin(Θ). Therefore:

A= 170 * 650* sin (113°)

A=101716 ft²

Read more about the area of parallelogram here:

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Select all the expressions that are equivalent

Answers

Answer:

  B, C, D

Step-by-step explanation:

One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...

  [tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]

Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.

  [tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]

Of course, that repeated multiplication can be shown explicitly:

  [tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]

The equivalent expressions to 4^(-3) are B, C, D.

_____

Additional comment

The expression of G evaluates to ...

  [tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]

Juan plays little league baseball. In 36 at-bats, he had 12 hits. What is the ratio of at-bats to hits?

Answers

Answer:

The Ratio is 8:16.

Step-by-step explanation:

helppppppp fasttttt!!!!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

7+7=14*

14*3.14=43.96

Please help me out I’m really bad

Answers

x+120=180(co-interior)
x=180-120
.•.x=60

Write the following in order of size ,starting with the smallest. 66/100 , 0. 6 , 0. 67 , 666/1000

Answers

Answer:

0.6,66/100,666/1000,0.67

How many lines of symmetry does the letter J have image is the J I'm talking about

Answers

Answer:

0

Step-by-step explanation:

there are no lines os symmetry in this letter there are no straight lines that don't intersect

Answer:

0

Step-by-step explanation:

If you split it in half it is not a mirror image of itself..

pls help T-T
i need a solution too

Answers

Answer:

I do not know it very well

Step-by-step explanation:

80

Answer:

  b. 60°

Step-by-step explanation:

The exterior angles of a convex polygon total 360°. When the polygon is a regular hexagon, there are 6 congruent exterior angles.

__

Each exterior angle has a measure of ...

  x° = 360°/6 = 60°

Answer number 3 pleaseee

Answers

Answer:B=24 in²

B'=12 in²

B^=6 in²

I think the answer is B

Step-by-step explanation: I put the explaination with the answer

Answer:

C

Step-by-step explanation:

24 × 1/2 = 12

can we be friends?

A.)12
B.) 25
C.)51
D.) 77

Answers

Answer:

4x+3=2x+27

4x-2x=27-3

2x=24

x=24/2

x=12

Answer:

51

Step-by-step explanation:

2x+27=4x+3

    -3       -3

__________

2x+24=4x

___________

         2

x+12=2x

-x      -x

___________

12=x

now plug in/check answer

2(12)+27=4(12)+3

24+27=48+3

51=51

true

Solve 5(x – 4) = 2(x + 5) for x.

Question 9 options:

x = 5


x = –10


x = 10


x = –5

Answers

Answer:

Step-by-step explanation:

the answer for 5(x – 4) = 2(x + 5)


is x=10

your welcome!

Answer:

x = 10

Step-by-step explanation:

5(x – 4) = 2(x + 5)               DISTRIBUTE

5x - 20 = 2x + 10                COMBINE LIKE TERMS

3x = 30                               ISOLATE X

x = 10                                  FINAL ANSWER

I hope this helps!

For the data set 1, 7, 7, 7, 8, the mean is 6

Answers

Answer:

Yes

Step-by-step explanation:

1+7+7+7+8=30

30/5= 6

What is the slope of the line through the points (-2, -1) and (4, 3)?


2/5

5/2

3/2

2/3

Answers

Answer:

2/3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3- -1)/ ( 4 - -2)

   = ( 3+1)/ ( 4+2)

   = 4/6

   = 2/3

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}[/tex]


[tex]\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}[/tex]

[tex]\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer

Answers

Answer: No

Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.

I hope this helps!

PLS HELP ME WITH THIS IM GONNA CRY ITS SO HARD....





Arsenic‐74 is used to locate brain tumors. It has a half‐life of 17.5 days. 90 mg were used in a procedure. Write an equation that can be used to determine how much of the isotope is left after x number of half-lives.

Answers

Let that be x

Use the general formula used for calculating half-life

[tex]\\ \rm\Rrightarrow A=A_o(0.5)^{\frac{t}{h}}[/tex]

H is half-life,t is timetime given x

put values

The equation is

[tex]\\ \rm\Rrightarrow A=90(0.5)^{x/17.5}[/tex]

3
(08.01)
Line M is represented by the following equation: x - y = 8
Which equation completes the system that is satisfied by the solution (18, 10)? (4
points)
1) 2x - y = 26
2) x + y = 18
3) 2x - 2y = 36
04) x - y = -28

Answers

Answer:

1) 2x - y = 26.

Step-by-step explanation:

Solution =  (18, 10)

2x - y = 26 fits the bill

as   2(18) - 10

= 36 - 10

= 26.

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