- Susan drives north on the 405 Freeway at 50
miles per hour. Two hours after Susan
passes under Westminster Blvd, Maria
enters the 405 Freeway at Westminster Blvd
and heads north at 60 miles per hour. If both
cars maintain their average speeds, how long
will it take Mary to catch up with Susan?

Answers

Answer 1

Answer:

If both cars maintain their average speeds, it will take 12 hours for Mary to catch up with Susan.

Step-by-step explanation:

Since Susan drives north on the 405 Freeway at 50 miles per hour, and two hours after Susan passes under Westminster Blvd, Maria enters the 405 Freeway at Westminster Blvd and heads north at 60 miles per hour, if both cars maintain their average speeds, to determine how long will it take Mary to catch up with Susan the following calculation must be performed:

Hour 1 = 50

Hour 2 = 100

Hour 3 = 150 - 60

Hour 4 = 200 - 120

Hour 5 = 250 - 180

Hour 6 = 300 - 240

Hour 7 = 350 - 300

Hour 8 = 400 - 360

Hour 9 = 450 - 420

Hour 10 = 500 - 480

Hour 11 = 550 - 540

Hour 12 = 600 - 600

Therefore, if both cars maintain their average speeds, it will take 12 hours for Mary to catch up with Susan.


Related Questions

If John were to create a scatterplot, all of the following will be characteristics of correlation EXCEPT ___________.

Answers

Answer:

The answer is "Amount of daily sales at any given temperature".

Step-by-step explanation:

John, an ice-cream saloon's proprietor, gathers ice-cream day-to-day sales data in regards to the everyday temp.

When John wants to make a dispersal plot, the follows will be correlation qualities except for the number of transactions a day at any specific temperature.

Its strength, degree, or direction can be estimated by association, however, the number of daily sales cannot be measured by dispersion at any given temperature.

The solution to the system of equations is (0, 4).
(PIC 1)
TRUE or FALSE


The solution to the system graphed below is (1, -2).
(PIC 2)
TRUE OR FALSE

Answers

Answer:

1 is false

2 is true

Step-by-step explanation:

The solution is the coordinate where the two lines intersect

For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations

For the second image the lines intersect at (1,-2) therefore the statement is true

Pic 1: False
Pic 2: True

G P
2 3
S I
2 8
Q E
2 ??​

Answers

Answer:

yea i dont know this one bro gp 23 si 28

Step-by-step explanation:

2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. ²8

Answers

Answer:

Step-by-step explanation:

a.11/12 =11 is numerator and 12 is denominator

b.7/512 =75 is numerator and 512 is denominator

c.12/10 = 12 is numerator and 10 is denominator

d0/78 = 0 is numerator and 78 is denominator

point to remember : In fraction,upper part is always numerator and down part is denominator.

Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks
Whitney wrote a business plan for an entrepreneurship class, and now she has to make bound
copies. Whitney could use a printer who charges a setup fee of $44 and $7 for every copy printed.
Another possibility is to go to the office supply store, where she could pay an up-front fee of $34
and $8 per copy. There is a certain number of copies that makes the two options equivalent in
terms of cost. How many copies is that? How much would the copies cost?
For
copies, the cost is $


Can u help me please??

Answers

Answer:

Let C represent the total cost of each deal  

Let T be the number of trips down the water slide

C = 32        for the 1st deal since the cost is the same regardless of how much she rides  

C = 18 + T  for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14  trips

The cost must be $32 since that is the only cost possible for the 1st deal  

Step-by-step explanation:

The amounts of money Brittany earned each week from babysitting for 5 weeks are $12, $62, $70, $54, and $62. The mean amount earned is $52 and the median amount earned is $62. Identify the outlier and describe how the mean and median are affected by it.​

Answers

Answer:

The outlier is $12, results in a decrease in the mean. Outliers have little influence on the median.

If you actually calculate and try and find an outlier, this dataset doesn't have one. But I'm going to assume they're just looking for an extreme number in the set since it clearly says to identify it

The requried outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.

What is the median?

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,

The outlier in this data set is the first observation of $12, which is significantly lower than the rest of the values.

The mean is calculated by adding all the values and dividing by the number of values. In this case, the mean is:

$12 + $62 + $70 + $54 + $62 = $260

$260 ÷ 5 = $52

When the outlier of $12 is included in the calculation, it significantly lowers the mean.

The median is the middle value when the data set is arranged in order from least to greatest. In this case, the median is $62, which is not affected by the outlier of $12.

Therefore, the outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.

Learn more about medians here:

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Find the equation of the line.

Answers

Answer:

y= x - 5

Step-by-step explanation:

The equation of a line is generally y=mx+b.

m= the slope, b= the y-intercept

By looking at the graph we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, you can find the slope with the slope formula:

m=y2−y1/x2−x1

Plug in (5,0) and (0,-5):

m= -5 - 0 / 0 - 5

m = -5/-5

m = 1

The slope is equal to 1. You can also confirm this by looking at the graph where the line intercepts each point "up one point, over one point." This is known as the "rise over run."

Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.

So plug these numbers into the line equation, y=mx+b:

m= 1

b= -5

y= mx+5

y= (1)x + (- 5)

y= x - 5

Voila!

The equation of the line is equal to y= x - 5

The general equation of a line is;

y=mx+b.

Where m= the slope, b= the y-intercept

Since we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, we can find the slope with the slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]

Substitute in (5,0) and (0,-5)

m= -5 - 0 / 0 - 5

m = -5/-5

m = 1

Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.

So, substitute numbers into the line equation, y=mx+b:

y= mx+5

y= (1)x + (- 5)

y= x - 5

Learn more about linear equations;

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I don’t know what to do this is the last question!!!

Answers

Answer:

5/8 miles

Step-by-step explanation:

2 1/4 - 2 5/8 = 2 2/8 - 2 5/8 = 5/8

Hope this helps!

If 16x2 + nx + 49 is the square of a
binomial, then what value could n be?
A.14
B.28
C.42
D.56

Answers

Answer:

Th correct option is (d).

Step-by-step explanation:

The given expression is :

[tex]16x^2 + nx + 49[/tex] ....(1)

We know that, 16 = 4² and 49 = 7²

Also, (a+b)² = a²+2ab+b²

The given expression becomes,

[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]

Comparing equations (1) and (2),

n = 56

Hence, the value of n is equal to 56.

If right get brainly!! 20 points!!

TR (N)*2
or in other words triangle number of N times 2

Answers

Answer:

NEDD POITS SERY

Step-by-step explanation:

In a class of 35 students 1/5

of total students like to play cricket, 2/5 of students like to play football, remaining students like to play volleyball

i) How many students like to play cricket

ii) How many students like to play football?

iii) How many students like to play volleyball?

if you answer correctly you wil get brainliest plus 10 points

if you give wrong answer your wrong answer will be reported

only people who know maths well can give correct answer.

Good luck​

Answers

Answer:

7 play cricket

14 play football

21 play volleyball

Step-by-step explanation:

The measure of the angle turns through 1 over 9 of the cicle the angle measure can be found using the expressions

Answers

Answer:

1-9 the answer is -8of the circle

Step-by-step explanation:

In the following figure determine the volume of the triangular prism
A.192cm3
B.384cm3
C.296cm3
D.322cm3

Answers

D - 322cm3 hope this helps

A square garden plot has an area of 75 ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest
tenth of a foot.

Answers

9514 1404 393

Answer:

 a. 5√3 ft

 b. 8.7 ft

Step-by-step explanation:

The area is the square of the side length, so the side length is the square root of the area:

  s = √A

  s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)

  s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden

Find the value of x. Round to the nearest. ​

Answers

Answer:

Solution given:

perpendicular [P]=x

base[B]=9

hypotenuse [H]=41

Now.

By using Pythagoras law

H²=P²+B²

41²=x²+9²

x²=41²-9²

x=[tex]\sqrt{1600}=40[/tex]

x=40 is a required answer.

-5<3 true or false llssss answer I need to knowwwwww

Answers

Answer:

True

Step-by-step explanation:

Because this sign < eats the 3

Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length
of the third side?

Answers

Answer:

third side must be between 3 and 11, non-inclusive

Step-by-step explanation:

Triangle Inequality Theorem:

sum of any two sides must be greater than the third

4 + 7 > x;   x < 11

4 + x > 7;   x > 3

third side:

3 < x < 11

12. *
12. The Earth is estimated to be 4,540,000,000
years old. What is the Earth's age in scientific
notation?
a) 4.54 x 10°
b) 4.54 x 10-14
c) 4.54 x 1011
d) 4.54 x 1010
A
С
D
Please help

Answers

Answer:

4.54 x 1010

Hope this helps!

solve all for brainiest

Answers

A: 9

B: 4.5

C: 4.5

D: 2.25

Answer:

A 9

B 4.5

C 4.5

D 2.25

Step-by-step explanation:

I need to be 20 letters long so ya

Sonia ran 6 miles more than twice as far as Brian if the total number of milesso you ran 6 miles more than twice as far as Brian if the total numbers of Miles run by both is 33 how far did each one run.

Answers

Answer: Brian ran 9 miles

Sonia ran 24 miles

Step-by-step explanation:

Let's Brian's distance be represented by x.

Since Sonia ran 6 miles more than twice as far as Brian. This will be:

= (2 × x) + 6

= 2x + 6

Therefore,

x + 2x+6 = 33

3x + 6 = 33

3x = 33 - 6.

3x = 27

x = 27/3

x = 9

Brian ran 9 miles

Sonia ran = 2x+6 = 2(9).+ 6 = 18+6 = 24 miles

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
A) (x, y) → (x + 5, y – 3)
B) (x, y) → (x + 5, y + 3)
C) (x, y) → (x – 3, y + 5)
D) (x, y) → (x + 3, y + 5)

Answers

Answer:

C

Step-by-step explanation:

Any time you move up or down, it affects the "y" coordinate, and going up is positive so 5 units up is [tex]y + 5[/tex].

Moving left or right affects the "x" coordinate and moving left is negative so

[tex]x - 3[/tex]

[tex](x - 3, y + 5)[/tex]

 Hence, C is the correct answer  

please help me out on this one

Try this triangle: 3ft, 4ft, and 1 ft

Is the first plus second greater than the third? Is 3+4> 1? ________
Is the second plus third greater than the first ? is 4+1 >3?___________
Is the third plus first greater than the second? Is 3+1 >4_________
Can it make a triangle? Explain why?

Answers

9514 1404 393

Answer:

  yes, yes, no; No

Step-by-step explanation:

We have to assume you have no trouble with single-digit addition and comparison of two numbers.

  3+4 > 1   ⇒   7 > 1 . . . . yes

  4+1 > 3   ⇒   5 > 3 . . . . yes

  3+1 > 4   ⇒   4 > 4 . . . . no

These lengths will not make a triangle because the triangle inequality is not satisfied.

_____

Additional comment

You will notice that we found the result of interest when we added the two smallest numbers (1 and 3) and compared the sum to the largest number (4). This is a shortcut you can use for any "will these make a triangle" question. You don't need to bother comparing larger numbers to smaller ones. You already know they are larger.

PLEASE HELP ME ILL GIVE BRANLIEST I HAVE A BIT OF TIME LEFT

Consider the following dot plot. Of the following statements, which two characteristics of the dot plot make the median a better choice than mean to summarize the center of distribution?

Answers

Answer:

where is question? You are only showing answer.

Compute the product using​ (a) the definition where Ax is the linear combination of the columns of A using the corresponding entries in x as​ weights, and​ (b) the​ row-vector rule for computing Ax. If a product is​ undefined, explain why.

Answers

Answer:

When the number of rows or number of columns in the given matrix does not match the number of entries in the vector x.

When the number of columns in A [tex]\neq[/tex] the number of rows in B.

The matrix-vector is not defined.

Step-by-step explanation:

For example:-

Step 1:

Let's assume

[tex]A=\left ( \begin{matrix}-6 & 9\\ 2& 7\\ 1 & 0\end{matrix} \right )[/tex]3x2                 &       [tex]B=\left ( \begin{matrix}1\\ -6\\ 7\end{matrix} \right )[/tex]3x1

Since matrix multiplication of matric A and matrix B is only possible,

When the number of columns in A = Number of rows in B.

Step 2:

Let's A as m x n; Here m = rows and n=columns

B as p x q; Here p = rows and q=columns.

When n [tex]\neq[/tex] p, the matrix-vector is not defined.

That is matrix multiplication Ax is not possible.

Hence the matrix is not defined.

Plsss help me Brainlist!!

Answers

I believe the answer to this is:

Mean: 8.7 minutes

Median: 9 minutes

Hope this helps! :D

Select the correct answer from each drop-down menu. In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d. The rate of change of the function representing the number of vehicles manufactured for the coming year is , and its graph is a . So, the function is a function.

Answers

Answer:

Given:

v = 150d

v represents company's production for the coming year

d represents the number of days

150 is the daily production

The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.

Step-by-step explanation:

Assume that y varies inversely with the
square of x, then solve.
When x is 5, y is 4/5. Find y when x is 8.

Answers

Answer:

y = 5/16

Step-by-step explanation:

[tex]y\ \alpha\ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\y = \frac{4}{5}, x = 5.\\\\\frac{4}{5} = k \times \frac{1}{5^2}\\\\\frac{4}{5} \times 5^2 = k\\\\20 = k\\\\Now \ find\ y, \ when \ x = 8\\\\y = k \times \frac{1}{x^2} = 20 \times \frac{1}{8^2} = 20 \times \frac{1}{64} = \frac{5}{16}[/tex]

d + 5.5 = 10. Solve for d.

Answers

Answer:

d=4.5

Step-by-step explanation:

d+5.5=10

d=10-5.5

d=4.5

Hope this is helpful

P varies inversely with the
square of Q. When Q is 8, P is 9.
Find the value of P when Q is 3.

Answers

When Q is 3, P is 64.

Explanation:

P varies inversely with the square of Q
P = k/Q^2

When Q is 8 and P is 9,
9 = k/8^2
9 = k/64
k = 576

When Q is 3,
P = 576/3^2
P = 576/9
P = 64

The required value of P would be 64 for the given linear relationship.

What is the linear relationship?

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

Given that P varies inversely with the square of Q

P = k/Q²

As per the question, if Q is 8 and P is 9,

So 9 = k/8²

⇒ 9 = k/64

Apply cross-multiplication operation,

⇒ k = 576

If Q is 3, then

⇒ P = 576/3²

⇒ P = 576/9

Apply division operation, and we get

⇒ P = 64

Thus, the required value of P would be 64.

Learn about the linear relationship here :

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Pleaseeeeee Helppp meee!

Answers

Answer:

20!

Step-by-step explanation:

1. 20 = 10 + 10

2. 20 = 40 - 20

3. 20 = 2 × 10

4. 20 = 40 ÷ 2

5. 20 = 10 + 6 + 4

6. 20 = 5 × 4

7. 20 = ?

8. 20 = 60 ÷ 3

ohh someone already answered

1. 20 = 15 (square) + 5 (circle)

2. 20 = 26 (square) - 6 (circle)

3. 20 = 5 (square) × 4 (circle)

4. 20 = 17 (square) + 3 (circle)

5. 20 = 8 (square) + 8 (square) + 4

6. 20 = 5 (square) × 4

7. 20 = 2 × 20 (square) - 20 (square)

8. 20 = 60 ÷ 3 (circle)

9. 8 × 6 = 39 + 9 (circle)

10. 7 × 6 = 49 (square) - 7 (circle)

11. The problems with 2 of the same shape,

#5 and #7

    and problems with only one shape,

#6, #8 and #9.

    The problems with two alike shapes means that, since they have to be

    the same number, there is no room for modification, or increasing the

    value of one shape and subtracting the same transformation from the

    other.

    With problems #6, #8 and #9, the singular shapes work as a variable in

    an expression, with usually only one making the identity true.

12.

1. 20 = 7 (square) + 13 (circle)2. 20 = 1000 (square) - 980 (circle)3. 20 = 20 (square) × 1 (circle)4. 20 = 2 (square) + 18 (circle)10. 7 × 6 = 4901 (square) - 4859 (circle)
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