Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 40 mph. When Allison arrived, Austin still had 90 miles to go. How far did
Allison drive?
......miles

Answers

Answer 1

Answer: 290 miles

Step-by-step explanation:

Given

Allison drove with a speed of 58 mph

Austin drove with a speed of 40 mph

If both start at the same time

suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles

[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]

Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]


Related Questions

What is the distances between (3, 10) and (3, -8)

Answers

Answer:

(0,-12)

Step-by-step explanation:

is this what your looking for? what form would you like me to answer this in?

Someone help me with this pls ty :) Math. No Fake answers please!!!

Answers

Answer:

-1 , 5 for the original figure and 7, 2 for the final figure

Step-by-step explanation:

Self Explanatory

If you want explanation, comment on this answer and I will tell you

purple triangle is where it should be placed :)

Mrs. Tabachy is selecting 2 individuals to read their poems in the poetry slam. She is selecting from Jill, Tom, Peter, Chrissie, and Lisa by drawing names from a hat. What is the probability that Lisa and another girl are chosen to read? Write your answer as a fraction in the simplest form.

Answers

Answer:

n[total]=5

now

probability to Lisa and another girl are chosen to read=n[Lisa]/5×n[another girl]/4=1/5×1/5=1/25=0.04 is your answer

Step-by-step explanation:

Solution :

here ,

n= 5

then,

The probability that Lisa and another girl are chosen to read = n(Lisa)/5×n ( another girl ) /4

=1/5×1/5

=1/25

=0.04 answer

hope it is helpful to you ☺️

Select the graph of y= sin x.

Answers

Because it contains the points (0, 0) and (pi/2, 1), the first graph is the graph of sin(x).

Which graph is the graph of sin(x)?

To identify the graph of sin(x), we need to remember some points of the sine function.

We know that sin(0) = 0, this means that this passes through the point (0, 0).

And we also know that sin(pi/2) = 1, then it also passes through the point (pi/2, 1).

With that in mind, the graph that passes through those two points is the first one, so that is the correct option.

If you want to learn more about the sine function:

https://brainly.com/question/9565966

#SPJ2

Answer:

A.

Step-by-step explanation:
Believe me! I got it right on the program!

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit

Answers

Answer:

Dr. Gavin needs to recruit 200 participants.

Step-by-step explanation:

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.

This means that there will be 2*4 = 8 cells.

Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?

25 people in each cell, 8 cells. So

25*8 = 200

Dr. Gavin needs to recruit 200 participants.

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEMS I would really appreciate it

Answers

Answer:

I would love to help but can you zoom in on the question I can't really read it

Step-by-step explanation:

Helpppp Meeeee Plzzz

Answers

h=3 cause 3x30=90 ig loo

Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8

Answers

Answer:

A) 32

Step-by-step explanation:

f(3)=1/2(4)^(3)

The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rectangular prism?

Answers

Answer: 1/2

First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.

QUESTION 4 · 1 POINT
The roof pictured below has a rise of 10 feet and a run of 15 feet.
Run= 15 feet
Rise = 10 feet
What is its slope?

Answers

If the run is 15 and the rise is 10 you put the rise over the run then simplify it so you get 2/3

Hey May I Ask Whats The Rule Of This Number​

Answers

Answer:

add 4x1, then 4x2, then 4x4, then 4x8, etc

Step-by-step explanation:

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

i believe it is C. a histogram
(if it’s not then sorry)

Answer:

A

Step-by-step explanation:

It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.

53.333 as a mixed number​

Answers

Answer:

53 1/3

Step-by-step explanation:

Because 53 and then .3333333333 as fraction

Answer: 5333/10000

Step-by-step explanation:

53.33/100 = (53.33 x 100)/(100 x 100) = 5333/10000

I would appreciate it if someone could help answer this problem:)

Answers

Answer:

[tex]x=85^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of any polygon with five sides is equal to [tex](5-2)\cdot 180=3\cdot 180=540^{\circ}[/tex]. Therefore, we can set up the following equation and solve for [tex]x[/tex]:

[tex]115+95+115+130+x=540,\\455+x=540,\\x=\boxed{85^{\circ}}[/tex]

If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest

Answers

Answer:

yes

Step-by-step explanation:

A 12-foot-long support board is attached to thecenterof a 16-foot-high vertical display board.What is the width (w) of the horizontal supportboard, rounded to the nearest foot?

Answers

Answer:

4 ....,..........................................

Which of the sequences is an arithmetic sequence? ​

Answers

Answer:

D

Step-by-step explanation:

Answer:

letter D is the correct answer

Step-by-step explanation:

hope it helps

Please help me with this :)

Answers

A and D
A and D
A and D

you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30

Answers

Answer:

15 pounds

Step-by-step explanation:

we can set up a proportion:

5/10=x/30

solve for x:

5/10=x/30

10x=150

x=15

(or you could've done 5*3=15 since $30/$10=3)

Make r the subject of x= e + r/d

Answers

Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

Question #7
Correct answer is B
Explain or show steps

Answers

Refer to the diagram below. We have the following points

A = base of the streetlampB = base of the personC = tip of the person's shadowD = top of the streetlampE = head of the person

The shadow extends from point B to point C. If we let x be the the horizontal distance from the lamp to the person, then dx/dt represents the speed at which the person is walking away from the lamp. In this case, dx/dt = 4 feet per second.

Let y be the length of the shadow. We can use similar triangles and proportions to help find what y is equal to in terms of x

AD/BE = AC/BC

15/6 = (x+y)/y

15y = 6(x+y)

15y = 6x+6y

15y-6y = 6x

9y = 6x

y = 6x/9

y = 2x/3

y = (2/3)*x

The length of the shadow is 2/3 that of the distance from the person to the lamp.

Now apply the derivative to both sides to compute dy/dt, which represents how fast the shadow is changing.

y = (2/3)x

dy/dt = d/dt[ (2/3)x ]

dy/dt = (2/3)*d/dt[ x ]

dy/dt = (2/3)*dx/dt

dy/dt = (2/3)*4

dy/dt = 2.667

The rate in which the shadow is lengthening is approximately 2.667 ft per second.

Lily makes regular deposits to a savings account to save
money for retirement. She deposits $1000 to the account
and didn't add any additional money. The account offers
compound interest annually at a rate of 4%. How much
money does Lily have in her account in 2 years?
Step 1:
What is the Pr?
Pis ris
A=P(1+
tis
Step 2
Totalmolol is
(final answer)
1% 1+100
1/100
4% 4 +100 4100
92 9 +1000/100
1102.4
1081.6
O 1020.8
O 1108.6

Answers

I’m not gonna help much I’m bad at math but good luck have a nice day

Answer:

Step-by-step explanation:

jus needed the points lolz

Find the measure of angle A

Pls help

Answers

Step-by-step explanation:

x+85+x+44+63=180(sum of angles of a triangle)

or,2x+192=180

or,2x=180-192

or,x=-12

Angle A=x+44

=-12+44

=32°

Give brainliest plse .

Which images are tessellations?


Image 1 and 4
Image 3 and 2
Image 1 only
Image 3 and 4

Answers

Image 3 and 4, because they fit perfectly

Option - D - Image 3and 4 is correct

We have the following images.

We have to classify which image is a tessellations.

What are tessellations?

tessellations is also called tiling which involves the covering up of rigid plane surface using the geometric shapes (tiles) ensuring that these shapes don't overlap and leave no gap.

In the image 3, we have a geometric shape called triangle which is used as a tile to cover the surface. These shapes don't overlap and leave no gap as they perfectly fit with one another. Similar is the case with image 4, where hexagonal tiles are used. Therefore, image 3 and 4 are tessellations. The images 1 and 2 does not have any predefined geometric shape and nothing can be said about their perfect fit. Hence these are not tessellations.

Hence, Option - D is correct.

To solve more questions on tessellations visit the link below -

https://brainly.com/question/12926513

#SPJ2

Does anyone know this

Answers

Answer:

The scale factor is greater than 1

Step-by-step explanation:

please help explain this

Answers

Answer:

8

Step-by-step explanation:

So, the small red circles are the baskets.

Each 1 represents 1 basket.

We know that the two baskets on 4 wont be counted, as well as the two baskets on 4 1/2, since thats smaller than or equal to 4 1/2

We also know that the two baskets on 6 wont be counted either, since thats equal to 6.

So now lets count the baskets in between these values, which would be:

5 - 4 baskets

5 1/2 - 4 baskets

Lets add those up:

4+4

=

8

So your answer is 8!

Hope this helps! :)

Answer:

8

Step-by-step explanation:

Hello! I am just here to confirm that it is 8! The kind person before me is correct! Hope my confirmatiom helps you though! Have an amazing day and remember your worth it!

Bye! Hasta luego :)

Find the length of side x in simplest radical form with a rational denominator
60°
3
30
X

Answers

Answer: 5/2

Explanation:

According to 30-60-90 triangle rule:

The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2

Hassan surveyed 120 of the students in his school about their favorite color. 114 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?

Answers

95%
114 x 100 : 120= 95

Answer:

95%

Step-by-step explanation:

A point (-20, 48 ) is on the terminal side of angle 8. Find the exact value of sin 0.

A. 5/13
B. -5/13
C. -12/13
D. 12/13

Answers

Answer:

D.   12/13

Step-by-step explanation:

Hyp = √( (-20)² + 48² )

Hyp = 52

Sin = opp/hyp

sin = 48/52 = 12/13

The value of trigonometric ratio Sinθ = 12/13.

Hence option D is correct.

According to the given point

The base of the triangle be = -20

Perpendicular of triangle = 48

We know that the Pythagoras theorem for a right-angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

Therefore,

Hypotenuse = √( (-20)² + 48² )

Hypotenuse = 52

Since we know that,

Sinθ = opposite side of θ /hypotenuse

        =  48/52

        = 12/13

Hence,

Sinθ = 12/13

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

The complete question is:

A point (-20, 48 ) is on the terminal side of angle θ .

Find the exact value of Sinθ.

A. 5/13

B. -5/13

C. -12/13

D. 12/13

what 8 × 3 to the 14th power multiplied by 136???
[tex]23x {5521}^{?} [/tex]

Answers

om de har har mahadev har har mahadev har har mahadev mahadev har har mahadev

5,203,870,272

Step-by-step explanation:

8×3^14×136

=(8)(4782969)(136)

=(38263752)(136)

=5,203,870,272

i think this is the answer

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