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:
See below
Step-by-step explanation:
Start time = 9 A.M.
JessicaStart point- 40 milesSpeed - 30 mphEquation:
y = 40 + 30xKateStart point- 10 milesSpeed - 40 mphEquation:
y = 10 + 40xNote. 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 = 3And 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.
Related Questions
Can anyone help me with these? PLEASE!!!
Answers
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
an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park
Answers
Answer:
457
Step-by-step explanation:
value of 1556
explanion
Find the slope of the line.
3,2 6,3
Answers
Find the value of x. Then find the measure of each angle.
1. x =
2. Angle =
3. Angle =
Answers
1. x+(x-26)= 180 (being corresponding angle)
2x-26=180
2x=180-26
2x=154
x=154÷ 2
∴x=77
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
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
−
1
2
and a given point
(
0
,
0
)
to substitute for
x
1
and
y
1
in the point-slope form
y
−
y
1
=
m
(
x
−
x
1
)
, which is derived from the slope equation
m
=
y
2
−
y
1
x
2
−
x
1
.
Step-by-step explanation:
Which statement explains one reason why unconfirmities occur
Answers
what is the y-intercept of the following equation
Answers
On a bulletin board the principal Miss Gomez put 115 photos of the fourth grade students in her school. She puts the photos in five equal rose how many photos did she put in each row?
Answers
Answer:
naruto
Step-by-step explanation:
what is the opposite of 7
Answers
Answer:
-7 is the opposite of 7
Step-by-step explanation:
pls mark brainliest to help rank
PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!
Answers
Answer: itIs c for sure
Step-by-step explanation:
Answer:
A should be correct
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
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
You are helping create goodie bags for a class party. You have bags Reeses and
lollipops. Resses come in packages of 18 and lollipops in packages of 36. We don't want
any leftover! You want to create the greatest number of goodie bags with no candy
leftover! If the candy is divided evenly among the goodie bags, how many lollipops
would be in each bag?
Answers
Answer:
I'm not sure on what your asking could you explane
What three ratios are equivalent to 10:12
Answers
Answer:
5:6, 20:24, 30:36
Step-by-step explanation:
Find the total surface area of this triangular prism.
height=24cm
width=14cm
length=10cm
slant height=25cm
Answers
If the picture below is the triangular prism
Answer:
976
Step-by-step explanation:
14 x 24 = 336 [It's a triangle you would half it but then as there are 2 you would keep it the same]
10 x 25 = 250 [Times by 2 because there are 2 of them]
10 x 14 = 140
336 + 250 + 250 + 140 = 976
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]
A rectangular stage is 6.25 feet long and 12 feet wide. What is the area of the stage in square feet?
Answers
Answer:
The area of the stage is 75 sq. ft. (ft²)
Step-by-step explanation:
Use " l * w = area"
6.25 * 12 = A
A = 75
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:
8
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
or
211/351
cos less than
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:
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
just answer the questions to the bottom
Answers
Answer:this is hardbejjjjjjjjjjjjjjjjjfbvj2248932483Step-by-step explanation:
sorry..i dont know i felt like this was funny..
whats 10424123^2. yep have fun
Answers
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. -7Step-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 = - 7Correct 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 RightAlgebra I
CoordinatesAlgebra 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 :(
Write a guess my number clue that is satisfied by an infinite number of solutions
Answers
Answer:
1 ?????????.........
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:
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