I was walking to the store at the same time as my friend Angela. No matter what, She has always gotten there twice as fast as me. Half way to the store her friend picks her up on his scooter which was 10 times faster than me. She got there in 30 minutes. How long did it take for me to get there?

Answers

Answer 1

Answer: let's call your speed "a"

her walking speed is then "2a"

and her friend's scooter speed is 10 a

let's also call the distance you need to walk "d"

so the time (t)you need is:

d/t=a
t=d/a

and her time is:
t= $(d)/(2) /2a+ (d)/(2) /10a$
(half a distance with the speed of 2a and half a distance (d/2) with the distance of 10 a

now we count (we know that her time is 30 minutes)

30= $(d)/(4a)+(d)/(20a)$ //multiply by 20a

600a= $5d+d$
600a=6d/divide by 6
100a=d

Now, in order to calculate your time we need to calculate:

t=d/a

but we know how much is d now!
t= $(100a)/(a)$ =100

which means that you need 100 minutes, or 1 h 40 minutes!!!

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Write a unit rate for the situation.

1080 miles on 15 gallons

Answers

72 miles=1 gallon

Step by step Explanation:
Divide 1080 by 15 and divide 15 by 15. You get 72 and one.
Hope me helped!

Answer:

72 miles=1 gallon

Step-by-step explanation:

Divide 1080 by 15 and divide 15 by 15. You get 72 and one.

Select all the true statements.- 1.9 is to the left of -1.48.
-1.9 is to the right of -1.48.
1.9 is closer to 0.
-1.48 is closer to 0.
-1.48 is less than – 1.9.
-1.48 is greater than -1.9.

Answers

Answer:

-1.9 is to the left of -1.48.

-1.48 is closer to 0.

-1.48 is greater than -1.9.

Answer:

statements 1,4,5

Step-by-step explanation:

Solve the system of equations. If there is no solution or infinite solutions, select the appropriate option below.y= x-4; y= 6x-10

Answers

Final answer:

The solution to the system of equations y= x - 4 and y= 6x - 10 is (1.2,-2.8) by using substitution method and solving the resulting equation.

Explanation:

To solve this system of equations, you can use the substitution method. Since both equations have 'y' isolated, you can set them equal to each other. This gives you x - 4 = 6x - 10. To solve this equation, you can subtract 'x' from both sides which will give you -4 = 5x - 10. Then add 10 to both sides to give you 6 = 5x. Finally, divide by 5 on both sides to give you x = 1.2. Substituting x = 1.2 into the first equation y = x - 4 gives us y = 1.2 - 4, which simplifies to y = -2.8. Thus the solution to the system of equations is (1.2,-2.8).

Learn more about System of Equations here:

brainly.com/question/35467992

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A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river and wants to arrive at a point on the north shore of the river directly opposite the starting point. The motorboat has a speed of 22 mi/h relative to the water. In what direction should the boat be headed?

Answers

The direction should the boat be headed is 60 degrees north 30 degrees west and this can be determined by using the trigonometric functions.

Given :

A straight river flows east at a speed of 11 mi/h.
A boater starts at the south shore of the river and wants to arrive at a point on the north shore of the river directly opposite the starting point.
The motorboat has a speed of 22 mi/h relative to the water.

The following steps can be used in order to determine the direction should the boat be headed:

Step 1 - The trigonometric function can be used in order to determine the direction should the boat be headed.

Step 2 - The mathematicalexpression of the cosine function is given by:

$\rm cos\theta=(base)/(hypotenuse)$

where $\theta$ is the direction should the boat be headed.

Step 3 - Now, substitute the known values in the above formula.

$\rm cos\theta=(11)/(22)$

Step 4 - Simplify the above expression.

$\rm cos\theta=(1)/(2)$

$\theta = 60^\circ$

Step 5 - So, the angle from the west axis is given by:

$90-60=30^\circ$

The direction should the boat be headed is 60 degrees north 30 degrees west.

For more information, refer to the link given below:

brainly.com/question/11709244

Answer:

N 30 degree W

Step-by-step explanation:

We are given that

Speed of river flows=11 mi/h(East)

Speed of motorboat relative to water=22mi/h

We have to find the direction in which the boat should be headed.

Let direction of the boat = $\theta$

We know that

$Cos\theta=(Base)/(hypotenuse)$

Using the formula

$Cos\theta=(11)/(22)=(1)/(2)$

$Cos\theta=Cos60^(\circ)$

Because $Cos60^(\circ)=(1)/(2)$

$\theta=60^(\circ)$

Angle from the west axis= $90-60=30^(\circ)$ W

Hence, the direction of boat should be headed in N 30 degree W

Which expression represents the product of an unknown number and 19?A.

19 ÷ n

B.

n + 19

C.

n – 19

D.

19 • n

Answers

a product is the result of multiplying
D

Randi and her distant sold ballons for .50 they made 48$ if Randy has twice as many balloons as your sister how many balloon animals did each girl make