Mathematics College

At 9 a.m., Jessica started riding on the Red Mountain Parkway at the 40-mile marker.
At the same time, Kate started riding on the Red Mountain Parkway at the 10-mile
marker. Jessica rides her motorcycle at a rate of 30 miles per hour. Kate rides her
motorcycle at a rate of 40 miles per hour. If they are both riding in the same direction,
which graph shows the number of hours after 9 a.m. when Jessica and Kate will be in
the same position on the parkway?

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Start time = 9 A.M.

JessicaStart point- 40 milesSpeed - 30 mph

Equation:

y = 40 + 30xKateStart point- 10 milesSpeed - 40 mph

Equation:

y = 10 + 40x

Note. There is no graph but see the attached. It should be similar graph for this case

The will meet after 3 hours at 130 miles mark

Solving the system of equations we get:

40+30x = 10 + 40x10x = 30x = 3

And y is:

y = 40+3*30 = 130

(3, 130) is the intersection of lines

Since it takes 3 hours for Jessica and Kate, it happens at 12 A.M.

At 9 A.m., Jessica Started Riding On The Red Mountain Parkway At The 40-mile Marker.At The Same Time,

Related Questions

The ratio of red to blue marbles in a bag is 3:2. If there are 20 total marbles in the bag, how many blue marbles are in the bag?

Answers

Answer:

Step-by-step explanation:

Let's say there are 3*x red marbles in the bag. As the ratio of red to blue is 3:2, that means that there are 2*x blue marbles in the bag. The total marbles are then

3*x+2*x= 20

= 5x

Divide both sides by 5 to get

x=4

2*x is the amount of blue marbles, and 2*x = 8

There are 351 identical plastic chips numbered 1 through 351 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 212

Answers

212/351

211/351

cos less than

The points (-5, -31) and (3, r) lie on a line with slope 4. Find the missing coordinate r

I’LL MARK BRAINIEST!
To the first correct answer

Answers

Answer:

The missing coordinate is 1

Step-by-step explanation:

Simplify 5(x - 2) - 3x + 7.
A. 8x - 3
B. -10x + 25
C. 2x-5
D. 2x - 3

Answers

2x-3

Step-by-step explanation:

5(x-2) is 5x-10 then add the -3x + 7, add 5x and -3x to get 2x then add -10 and 7 and get 3 so its gonna be D. 2x-3

Answer:

D. 2x - 3

Step-by-step explanation:

5(x - 2) - 3x + 7 = 5 · x - 5 · 2 - 3x + 7 = 5x - 10 - 3x + 7 = 2x - 3

4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.

Answers

9514 1404 393

Answer:

a) see attachment

b) base: 4, height: 4√3

c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

b) The side lengths of a 30-60-90 right triangle have the ratio ...

1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

c) The area is the product of base and height:

A = bh

A = 4(4√3) = 16√3 . . . . square units

What three ratios are equivalent to 10:12

Answers

Answer:

5:6, 20:24, 30:36

Step-by-step explanation:

whats 10424123^2. yep have fun

Answers

108,662,340,319,129 that is the answer

The eguation Y-3=-2(X+5) is written in point-slope form. What is the y-intercept of the line?
-13
-7
2
8

Answers

Answer:

-7

Step-by-step explanation:

As it says, the equation is written in point-slope form (y-y1=m(x-x1). We'll convert the equation to slope intercept form (y=mx+b), as the b in that equation is the y intercept.

here's the equation:

y-3=-2(x+5)

do the distributive property on the right side

y-3=-2x-10

add 3 to both sides

y=-2x-7

since -7 is in the place of b, the y intercept is -7.

Hope this helps!

Answer:

B. -7

Step-by-step explanation:

Given function:

y - 3 = - 2(x + 5)

y-intercept is the point (0, y) where the line intersects y- axis

Finding y, at x = 0:

y - 3 = - 2(0 + 5)y - 3 = - 10y = - 7

Correct option is B

What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?

Answers

Answer:

[tex]\displaystyle d = 34[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, -13)

Point (-1, 21)

Step 2: Find distance d

Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex](Parenthesis) Add: [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex][√Radical] Simplify: [tex]\displaystyle d = \sqrt{(34)^2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 34[/tex]

Please help, I will mark brainliest!

Answers

Answer: \frac{n^3-5n^2-3n-27}{n^2-8n-9}

Step-by-step explanation: enter this into a fraction calculator to see what is really is. sorry i needed to put this in a fraction calculator to put it here, i wish i couldve written it normally :(

ILL BRAINLIEST
Dan bought x grams of sugar. Clare bought 2/5 more than that. Which equation below represents the relationship between the amount of sugar Dan bought, x, and the amount Clare bought, y? *

y = 2/5x

y = 4/5x

Y = x + 2/5x

y = x - 2/5x

Answers

Answer: d

Step-by-step explanation:

what is the domain of h?

Answers

Answer:

The domain of given function is: [-7,7]

Step-by-step explanation:

Graphs can be used to determine the domain and range of a function.

On a graph, the values across the x-axis are domain and across y-axis are the range.

In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.

Hence,

The domain of given function is: [-7,7]

Graph 16x−4y=2.Please answer I will make you the brainlist and rate you 5 stars if good.And report if bad.

Answers

Answer:

First one is the graph second one is the equation

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

as graphed

Answer:

naruto

Step-by-step explanation:

what is the y-intercept of the following equation

Answers

this is the y intercept! glad I can help :)

Write a guess my number clue that is satisfied by an infinite number of solutions

Answers

Answer:

1 ?????????.........

simplify this algbraic expression completely 5y-3(y+2)

Answers

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

Can anyone help me with these? PLEASE!!!

Answers

I can’t see them good try taking the pictures better please

Find the slope of the line.

3,2 6,3

Answers

Step-by-step explanation:

Because there is a right angle present in the diagram, that means it equals 90 degrees. Therefore, the first option is correct.

Hope this helped! :D

What is an equation of the line that passes through the point (-6,-8)(−6,−8) and is parallel to the line x-2y=6x−2y=6?

Answers

Answer:

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope

−

and a given point

(

)

to substitute for

and

in the point-slope form

−

(

−

)

, which is derived from the slope equation

−

Step-by-step explanation:

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 9

Answers

Answer:

The probability is 1/6

Step-by-step explanation:

Since we are rolling a pair of die, the number of expected results is 36

Sum that can be greater than 9 include;

4,6

6,4

5,5

6,5

5,6

6,6

This shows 6 out of a possible 36

So the probability will be 6/36 = 1/6

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