dana starts biking the 2 miles from her home at a speed of 12 mph. 2 minutes later, her brother leaves the house. What should his minimum biking speed be if he wants to get to school no later than his sister?

Answers

Answer 1

Answer:

15 miles per hour

Step-by-step explanation:

12 miles per hour / 60 mins = 0.2 miles per minute

0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)

at to 2 minutes shes already 0.4 miles ahead of her brother.

he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15

his speed should be 15 miles per hour


Related Questions

A scientist needs 180 milliliters of a 20% acid solution for an experiment. The lab has available a 25% and a 10% solution. How many milliliters of the 25% solution and how many milliliters of the 10% solution should the scientist mix to make the 20% solution

Answers

9514 1404 393

Answer:

120 mL of 25% solution60 mL of 10% solution

Step-by-step explanation:

Let q represent the quantity of 25% solution in the mix. Then 180-q is the quantity of 10% solution. The quantity of acid in the mix is ...

  0.10(180 -q) +0.25(q) = 0.20(180)

  18 +0.15q = 36 . . . . simplify

  0.15q = 18 . . . . . . . . subtract 18

  q = 18/0.15 = 120 . . . . divide by the coefficient of q

  180-q = 60

The scientist should mix 120 mL of 25% solution with 60 mL of 10% solution.

I need help with part a and b please

Answers

Answer:

The total answer should be 38 on the top

Step-by-step explanation:

a) So the first partial quotient would be equal to 30 as 31 x 30 = 930

b) Second partial quotient would be 8 as 31 x 8 = 248

Answer:

0

38

I hope it's help byeeee

PLZZZ HELP MEEEeeeeeeeeeeeeeeeeeee

Answers

Answer:

I am a professional, worry not

-1.6 < -1.55 < -0.4 < 1.35 < 1.7

1. You are interested in recycling behavior and whether it varies between urban and
rural residents. You know that the statewide recycling rate is 48.89%, and you
survey 140 rural residents and 310 urban residents to find out if they recycle.
180 urban residents respond that yes, they recycle. 130 do not. 40
rural residents recycle, and 100 do not.
a) Construct an expected frequencies crosstab, based on the sample size and the
statewide recycling rate.
b) Construct an observed frequencies crosstab, based on your actual data.
(NOTE for 1a and 16: Be sure to include both percentages and frequency values, in

Answers

Answer:

65

Step-by-step explanation:

Subtract (7u2+10u+6) from (3u2−5u+4).

Answers

Answer:

-4u^2 - 15u - 2

Step-by-step explanation:

(3u^2 - 5u + 4)

(7u^2 + 10u + 6)

Combine like terms!

3u^2 - 7u^2 = -4^2

Combine like terms

-5u - 10u = -15u

Combine like terms

4 - 6 = -2

The answer should be -4u^2 - 15u - 2

The solution to simplifying the algebraic expression is: -4u² - 15u - 2

How to solve Algebraic Expressions?

Algebraic expressions are defined as the idea of expressing numbers using letters or alphabets without specifying their actual values

The algebraic expression we want to simplify is:

3u² - 5u + 4 - (7u² + 10u + 6 )

Simplifying the bracket gives us:

3u² - 5u + 4 - 7u² - 10u - 6

Arranging like terms gives us:

3u² - 7u² - 5u  - 10u + 4 - 6

= -4u² - 15u - 2

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Jerome makes and sells his own energy drinks. He mixes a liquid drink mix with water to create his own special blend. Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks he’ll be able to sell a lot more of his energy drinks than usual. Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink. Who is correct: Jerome’s brother or Jerome’s sister? As you complete the task, keep this question in mind: Based on what you know about ratios, what do you think the answer will be? Directions: Complete each task, reading the directions carefully as you do. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and on the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now let’s get started! Step 1: Finding the part-to-part and part-to-whole ratios To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix? (2 points) What is the ratio of drink mix to water? (2 points) What is the ratio of drink mix to mixed energy drink? (2 points) What is the ratio of water to mixed energy drink? (2 points) Step 2: Testing Jerome’s brother’s approach Jerome’s brother told him to add one cup of water for every one cup of drink mix he add

Answers

Answer:

not well explained??

Step-by-step explanation:

?? explain it better bro.

WILL GIVE BRAINLIEST!!

Which graph shows the following system of equations and it’s solution?

{ -2x -y = -5
{ 2x - 3y = 1

Answers

Answer:

Step-by-step explanation:

These two lines will intersect at (-4, -3). The top equation will have a slope of 1/4 and the bottom one a slope of 7/4.

Find the volume of the following prism.

Answers

Answer:

[tex]4860[/tex] cubic units

Step-by-step explanation:

First, we use the formula of the triangle prism to solve the question

[tex]v=\frac{1}{2}b*h*l[/tex]  

[tex]v=\frac{1}{2} 18*12*45[/tex]

[tex]v=4860 cm^{3}[/tex]

Which function has an inverse this is a function?

b(x)=x^2 + 2x

d(x)=-4x

m(x)=-3

p(x)=|x|

Answers

Answer :-

Option 2

Step by step explanation :-

d (x) = -4x has an inverse .

A ruler 30 cm long is broken into two parts in the ratio 8:7. How long
are the two parts?

Answers

Answer:

Step-by-step explanation:

Length of each part of the ruler will be

8x and 7x

. Hence, 8x+7x=30 => 15x=30 =>x=2

Hence, the lengths will be

8x=8×2=16

7x=7×2=14

Use point-slope from to write the equation of a line that passes through the point (10,3) with slope -5.

Answers

Answer:

[tex]y=-5x+5[/tex]

WHAT IS 159 DIVIDED BY 3 (ITS NOT HARD PLEASE ANSWER I DON'T HAVE A CACULATER)

Answers

Answer:

Step-by-step explanation:

The asked quotient of 159 divided by 3 is the number 51.

What is divide?

It is the inverse of multiplication, and it is used to find out how many times one number can be divided by another. In mathematics, the division is an arithmetic operation that involves splitting a quantity into equal parts or groups.

Here,
As mentioned in the question, we have to determine the quotient of 159 divided by 3
So let the quotient be y,
y = 159/3
y = 51

Thus, the asked quotient of 159 divided by 3 is number 51.

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Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture

Answers

Answer:

The correct option is;

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).

Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give

Step-by-step explanation:

We have that for reflection across the x-axis, (x, y) → (x, -y)

For reflection across the y-axis, (x, y) → (-x, y)

Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;

For reflection across the y-axis, (x, -y) → (-x, -y)

For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)

Find the value of y for the given value of x.
y = x/2 + 9;x = -12

Answers

Step-by-step explanation:

x = -12

y = x/2 + 9

y = -12/2 + 9

y = -6 + 9

y = 3

The simple interest charged on a 12-month loan of $82,000 is $631. Find the simple interest rate. (Round your answer to one decimal place.)

Answers

Step-by-step explanation:

631/82000×100

=0.8

MARK ME BRAINLIEST PLSS!

WILL GIVE BRAINLIEST
These two triangles are congruent by ....
O SSS
O SAS
O HL
O ASA
O AAS
O the triangles are NOT congruent

Answers

I don’t really know what it is but you can cross out A, B, and F for sure.

SAS postulate states that if two sides and one angle of the two triangles are congruent then the corresponding triangles are congruent.

These two triangles are congruent by SAS postulate

Proof

Statements                                         Reasons

In  ΔNHJ ↔ ΔKHJ

mHJ≅mHJ                                   common to both Δs∠N≅∠K                                    right anglesmHN≅mHK                                     given

From 1,2, and 3 ΔNHJ ≅ ΔKHJ            SAS≅SAS

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hen Max was a puppy, he weighed 512 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.

How much weight did Max gain between the time he was a puppy and his 1-year check-up?

Enter your answer as a decimal or simplified mixed number in the box.

Answers

Answer:

10.3lbs or 10 3/10 as a mixed number

Step-by-step explanation:

i have the same question on my test so i know this is right but here's an explanation: so 5 1/2 pounds is the same as 5.5 pounds, and if you add 10 pounds to 5.5 pounds, you get 15.5 pounds, which is 3 ounces away from 15.8 pounds. so adding 3 ounces to the 10 pounds, then adding that to the 5.5 pounds, you would get 15.8. therefore, your answer is 10.3lbs.

The puppy gained 10.3 pounds of weight in 1 year.

What is subtraction?

Subtraction is one of the arithmetical operations, to subtract means to take away from a group or a number of things.

Given that, Max was a puppy, he weighed [tex]5\frac{1}{2}[/tex] pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.

[tex]5\frac{1}{2}[/tex] pounds = 5.5 pounds

Weight before 1 year = 5.5 pounds

Weight after 1 year = 15.8 pounds

Weight gained by the puppy in 1 year = 15.8-5.5 = 10.3 pounds

Hence, the puppy gained 10.3 pounds.

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If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is not a spade.
A. Write your answer as a simplified fraction.
B. Write your answer as a decimal, rounded to the nearest thousandth.
C. Write your answer as a percent. Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.

Answers

Answer:

a. 1/13

b. 0.077

c. 7.7

Step-by-step explanation:

a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.

Where do I put the parenthesis to make it true?

5 – 6w – 5 – 95 + 2w = –48w – 70

Answers

Answer:

i just stole your points thank you

Step-by-step explanation:

5 – 6w – 5 – 95 + 2w = –48w – 70

-6w + 2w + 48w = -70 -5 + 5 +95

44w = 25

w=25/44

The average length of a baby at birth is 19 inches long. There are 2.54 centimeters in 1 inch. What is the average length of a baby at birth in centimeters.

Answers

Answer:

16.46 I don't know

Step-by-step explanation:

Which graph best represents y = −x2 + 6x − 1?

Answers

Answer:

which graph best represents y = -x2 + 6x - 1?

Step-by-step explanation:

hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( 3 , 8 )

Focus:  ( 3 , 31 /4 )

Axis of Symmetry:  x = 3

Directrix:  y = 33/4

x                      y

1                      4

2                     7

3                     8

4                     7

5                     4

Step-by-step explanation:

Below is a picture of the graph

A car travels at an average speed of 56 miles per hour how many miles does it travel in 5hrs and 30min

Answers

Answer:

308 miles

Step-by-step explanation:

speed * time = distance

56 * 5.5 = 308

308 miles

Given: D is the midpoint of AC, ED = FD, and angle EDA = angle FDC

Prove that: Triangle AED = Triangle CFD

Answers

Answer:

Step-by-step explanation:

Side-Angle-Side postulate (SAS)

There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given question,

D is the midpoint of AC, ED = FD, and angle EDA = angle FDC

In ΔAED and ΔCFD,

Side DE = Side DF

m∠EDA  = m∠FDC

Side AE= Side FC

According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, both triangles are congruent.

Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.

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Supplies for last year cost $1,477, which was $177 over budget. Rounded to the nearest 1%, by what percent did the cost exceed the budgeted cost?

8%
11%
12%
13%
14%

Answers

Answer:

12% is the correct answer.

D. Directions: Write the equation for line in any form) for the following points
(0,4) and (-3,12)

Answers

Answer:

y = -8/3x + 4

Step-by-step explanation:

what is 250% of 5
please help

Answers

Answer:

  12.5

Step-by-step explanation:

You can read this problem as ...

  2.5 × 5 = 12.5

__

You can think of % as meaning /100. You can think of "of" as meaning "times". Then the expression

  250% of 5

can be thought of as ...

  250/100 × 5

  = 1250/100 = 12.5

Customers at a gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the scenario.

What is the slope of the line?

Answers

where is the graph ? i can help

A sample in which each element in a population has a equal chance of being selected

Answers

Answer:

simple random sample

Step-by-step explanation:

I hope that's it

I need help with my algebra.

Answers

Answer:

f(-2) =-2

Step-by-step explanation:

f(-2) means what is the output of the function when the input of the function is -2

When x =-2, y =-2

f(-2) =-2

Can someone help me? I still don't understand this question.

Answers

[tex]f(x) = -6x^2 + 7x + 4[/tex]

Step-by-step explanation:

For x = 1

[tex]a(1)^2 + b(1) + c = 5 \Rightarrow a + b + c = 5[/tex] (1)

For x = -3,

[tex]a(-3)^2 + b(-3) + c = -71[/tex]

[tex]\Rightarrow 9a - 3b + c = -71[/tex] (2)

For x = 3,

[tex]a(3)^2 + b(3) + c = -29[/tex]

[tex]\Rightarrow 9a + 3b + c = -29[/tex] (3)

Let's add Eqn(2) and Eqn(3) together to eliminate b:

[tex]\Rightarrow 18a + 2c = -100[/tex] (4)

Next, multiply Eqn(1) by 3 and then add to Eqn(2) to get

[tex]\Rightarrow 12a + 4c = -56[/tex] (5)

Then we want to eliminate c by multiplying Eqn(4) by -2 and then adding to Eqn(5) and we will get

[tex]-24a = 144 \Rightarrow a = -6[/tex]

Now that we have the value for a, we can use either Eqn(4) or Eqn(5) to solve for c and we will get

[tex]12(-6) + 4c = -56 \Rightarrow c = 4[/tex]

Using the values of a and c on Eqn(1), we find that [tex]b = 7[/tex] so therefore, our function f(x) has a form

[tex]f(x) = -6x^2 + 7x + 4[/tex]

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