Two cars raced at a race track. The faster car traveled 20 mph faster than the slower car. In the time that the slower car traveled 165 miles, the faster car traveled 225 miles. If the speeds of the cars remained constant, how fast did the slower car travel during the race? Distance (mi) 165 Rate (mph) Time (h) 165 Slower Car Faster Car 225 + 20 225 + 20 55 mph 60 mph 75 mph 130 mph ​

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

t=d/s

The answer is 55 miles

Answer 2

Answer:

55 miles per hour

Step-by-step explanation:


Related Questions

A line is represented by the equation y = 3x - 7. Which of the following statements about the line is TRUE?

A. The y-intercept is 7.

B. The "rise over run" is equivalent to
1/3

.

C. The point (1, 4) lies on the line.

D. The line has a positive slope

Answers

Answer: The "rise over run" is equivalent to 1/3

Step-by-step explanation:

Since the m variable in the equation is 3, the line is going to be wider, there for it will go up 1 and 3 to the right with each point on the line, therefore the answer is B.

The requried slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b.

Here,
A.

The y-intercept is -7.
The equation y = 3x - 7 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Therefore, the y-intercept of this line is -7, not 7, as given in option A.

B.
The "rise over run" is equivalent to 3. Option B is not correct.

C.
point (1, 4) lies on the line.

To check whether the point (1, 4) lies on the line, we can substitute x = 1 and y = 4 into the equation y = 3x - 7 and see if the equation is true:

y = 3x - 7

4 = 3(1) - 7

4 = -4

Since the equation is not true, the point (1, 4) does not lie on the line, and option C is false.

D.
The line has a positive slope.

As we determined earlier, the slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.

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HELPPP FOR FOR BRIANLEST!!!!

Answers

Using the pythagorean theorem, we have :

[tex]4^{2} + x^{2} = 8.5^{2}[/tex]

[tex]x^{2} = 72.25 - 16 = 56.25 \\x = \sqrt{56.25} = 7.5[/tex]

I need help figuring this out and how to do it ​

Answers

Answer:

5) y=2x^2+16x+32

Step-by-step explanation:

So the following equations on your paper are in vertex form. We want to turn these into standard form.

Remember, standard form is ax^2+bx+c and vertex form is y=a(x-h)^2+k

Lets expand our first problem, y=2(x+4)^2

y=2(x+4)(x+4)

y=2(x^2+8x+16)

y=2x^2+16x+32

Our answer for question 5 is y=2x^2+16x+32

If you need help with the other questions just add a comment.

Answer:

#5

y = 2(x + 4)^2 y = 2((x + 4)(x + 4))y = 2(x(x + 4) + 4(x + 4))y = 2(x^2 + 4x + 4x + 16) y = 2(x^2 + 8x + 16) y = 2x^2 + 16x + 32

#6

y = -2(x + 2)^2 y = -2((x + 2)(x + 2)) y = -2(x(x + 2) + 2(x + 2)) y = -2(x^2 + 2x + 2x + 4) y = -2(x^2 + 4x + 4) y = -2x^2 - 8x - 8

#7

y = -(x + 7)^2 y = -((x + 7)(x + 7)) y = -(x(x + 7) + 7(x + 7))y = -(x^2 + 7x + 7x + 49) y = -(x^2 + 14x + 49) y = -x^2 - 14x - 49

#8

y = (x - 5)^2 + 9 y = (x - 5)(x - 5) + 9 y = x(x - 5) + (-5)(x - 5) + 9 y = x^2 - 5x - 5x + 25 + 9 y = x^2 - 10x + 25 + 9 y = x^2 - 10x + 36

Graph the inequality: 2x+y>4​

Answers

Step-by-step explanation:

Took the test! Good luck

sure thing but first start off by creating the function that we want to plot but isolating y.

y>-2x+4

Technically we are graphing the line of equation y=-2x+4 and finding the values where y>-2x+4

Now using the original equation;

2x+y>4

let's take the origin (0,0) as our reference.

substitute the values in the equation

2(0)+0>4

0>4

False, then this part of the graph is rejected and we want to take the other side :P

Work out the size of angle x.
х
65°
45 °

Answers

Answer:

Step-by-step explanation:

(im presuming this is a triangle)

65 + 45 = 110°

angles in a triangle add up to 180°

180 - 110 = 70°

x = 70°

st
2. Find the surface area of the sphere below.
.
3.1 m
-

Answers

Answer:

120.7016

Step-by-step explanation:

surface area of sphere=4πr²

solution

=4*3.14*3.1*3.1

=120.7016

A teacher has a bag of 100 unit cubes. She gives an equal number of cubes to each of the 7 groups in her class. She gives each group as many unit cubes as she can. How many unit cubes are left over?

Answers

100 divided by 7 is 14 r 2, There are 2 left

Answer: There’s 2 cubes left

Step-by-step explanation:

100 divided by 7 is 14 . 7 • 14 = 98100-2 , She is left w a remaining of 2 unit cubes . Meanwhile each table receives 14 marbles each .

WEDDING There were a total of 180
guests at a wedding. Of those guests,
37 ordered fish and 60 ordered
chicken. If the remainder of the
guests ordered steak, how many
ordered steak?

Answers

180-60-37=83
83 people ordered steak
83 People ordered steak at the wedding.

Find the common difference of the arithmetic sequence.
4, 10, 16, 22, . . .

Answers

Answer:

The answer is 6

Step-by-step explanation:

This is due to the nth term sequence going up by 6

is the mean of 2 3 4 6 x and 8 is 5 find the value of x​

Answers

Step-by-step explanation:

The mean is the total sum of the numbers all over the amount of numbers in the question.

Mean=(2+3+4+6+x+8)÷6

NB: 6 is the number of figures available in the question

If Mean =5

5=(23+x)÷6

Multiply both side by 6

5 x 6 = 23 + x

30 = 23 + x

30 - 23 = x

7 = x

Answer:

7

Step-by-step explanation:

We can start by counting the number of values we have, which would be 6 if we count the x. Now multiply 5 by 6 and we get 30. Now we know that 2+3+4+6+x+8 is 30 and so we can subtract all the values, giving us x=7. If we substitute it back in, we get 2+8 which is 10, 4+6 which is also 10, and 7+3 which is 10 again. 10+10+10=30 and now divide 30 by 6 and we get 5; the mean. Hope this helps!

Help Help :(:(:(:(:(:(

Answers

Answer:

Kuroo Here!

Step-by-step explanation:

What do you need help with?

Slope of 2 and y-intercept of −7
Find the equation of the line in slope-intercept form.

Answers

Answer:

y=2x-7

Step-by-step explanation:

2 would equal M because m is your slope.

-7 would be your y intercept

following y=mx+b

The required equation of the line is given as y = 2x -7.

Given that,
The slope of 2 and y-intercept of −7

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The equation of the line is given as.
y = mx + c
Substitute the value in the equation,
y = 2x - 7

Thus, the required equation of the line is given as y = 2x -7.

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Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix? A. B. C. D.

Answers

Answer:

i think the answer will gonna be C.

Answer:

C plato

Step-by-step explanation:

Discuss the steps that you used to create your tangent line in #1. What was the most important step? Your discussion should be a minimum of three sentences

Answers

To create a tangent line, 1st we need to know the points at which the tangent is to be located, then calculate the slope and finally with the help of these points and slope we can construct the equation of tangent line.

We need to  take the following steps in order to build a tangent line:

We start by locating the curve point to which we want to locate the tangent line. Say, these points are [tex]x_1[/tex] and [tex]y_1[/tex]The slope (m) of the curve at that point is then determined by taking the function's derivative. The slope displays the function's rate of change at that precise location. The equation of the tangent line is then created by entering the coordinates of the point and the slope using the line's point-slope form. This equation is as follows:  [tex]y - y_1 = m (x - x_1)[/tex]

Hence, the above three steps are crucial to create a  tangent line.

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The science club is planning a field trip to a museum. Each student will pay $10 for admission and an equal share of the $200 transportation cost. The total cost per student is given by the expression LaTeX: C=\frac{200}{S}+10C = 200 S + 10, where LaTeX: SS is the number of students that went on the field trip. What does the term LaTeX: \frac{200}{S}200 S in the expression represent?

Answers

Answer: [tex]\dfrac{200}{S}[/tex] represents the transport cost per student in the expression.

Step-by-step explanation:

Given: For trip,

Admission fee per student = $10

Transport cost (for all students0 = $200

Here, S represents the number of students  went on the field trip.

Transport cost per student = (Total cost) ÷ Total student

So, [tex]\dfrac{200}{S}[/tex] represents the transport cost per student.

Hence,  [tex]\dfrac{200}{S}[/tex] represents the transport cost per student in the expression.

Maria has already written 2/5 of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay? please i just want to know how to get 3/5

Answers

Answer:

167 minutes

Step-by-step explanation:

i took the test this was right

hope this helps!

Answer:

I think the answer would be 1000 x 2 Over 5 divided by 13 Over 2

Step-by-step explanation:

Sorry if I'm wrong I'm in the test

Brittany uses a stopwatch to time how long it takes each day for her school bus to travel from her house to school. She finds that the times are distributed normally, with a mean of 21 minutes and a standard deviation of 2 minutes. If there are 180 school days each year, approximately how many times in Brittany's four years of high school will the school bus take more than 27 minutes to travel from Brittany's house to school? A. 18 B. 36 C. 1 D. 4

Answers

Answer:

C

Step-by-step explanation:

We start by calculating the z-score of 27 minutes

Mathematically z-score = (x-mean)/SD

FROM the question, mean = 21 and SD = 2

so z-score = (27-21)/2 = 6/2 = 3

The probability we want to calculate is P(z > 3)

we proceed to the standard normal distribution table to get this

P(z > 3) = 0.0013499

Now seeing this, we want to calculate the number of days.

Since there are 180 days in a year and we have 4 years, the total number of days = 180 * 4 = 720 days

The number of days in which the school bus took more than 27 minutes will be ;

720 * 0.0013499 = 0.971928 which is approximately 1

Answer:

C.1

Step-by-step explanation:

On edmentum this is correct.

Plz help!
6y + 2 = 9y + 14
Solve for y.

Answers

Answer:y=-4.6667

Step-by-step explanation:

Answer:  y= -4

Step-by-step explanation:

6y + 2 = 9y + 14      Subtract 2 from both sides

      -2             -2

6y = 9y + 12             Subtract 9y from both sides

-9y    -9y

-3y = 12      Divide both sides by -3

y= -4

_______fraction of rupee one is 25 paise​

Answers

Answer:

The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).

Step-by-step explanation:

The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).

A mother shared a sum of money amongst his three sons Jorge, Luis and Robert in the ratio of 3:5:4 respectively. If Robert received $320. How much was the total money shared?

Answers

she cut the sum in (3+5+4) in 12 parts

J had 3/12 of the sum S

L had 5/12 of the sum S

and R had 4/12 of the sum S

4/12 x S = 320

S = 320 x 12/4

S = 960

$960 shared

0.5(x4 − 9) + 17 PLS IN 3 MINS

Answers

Answer:

2x+12.5

Step-by-step explanation:

0.5(x4-9) +17

=0.5(4x-9)+12

=2x-4.5+17

=2x+12.5

Wesley always estimates his grocery store total as he shops. while at silver street groceries this morning, he estimated his total purchase would be $50, but it was actually $46.10. what is the percent error for his estimate?

if necessary, round your answer to the nearest tenth of a percent.

Answers

Answer:

The answer is 8.5

Step-by-step explanation:

50-46.10=3.9

you then divide 3.9 by 46.10 and you get 0.0845...

so you estimate and get your answer

The percent error in Wesley's estimate is 8.5% if the estimated total purchase is $50 and the actual total purchase is $46.10.

What is Percentage?

Percentage is a form of writing numbers as part of 100. The symbol used to denote percentage is '%'.

Percentage of a number can be calculated by dividing the number with the whole and then multiplying with 100.

Percentage is a dimensionless number because it has no measurement units.

The percent error can be calculated by the formula,

Percent error = [(Estimated value - Actual value)/ actual value] × 100

Estimated total purchase of groceries by Wesley = $50

Actual total purchase made by Wesley = $46.10

Percent error = [(50 - 46.10) / 46.10] × 100

                      = (3.9 / 46.10) × 100

                      = 0.0846 × 100

                      = 8.46%

                      ≈ 8.5%

Hence the percent error for the estimation of total purchase of groceries by Wesley is 8.5%.

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Holly opened a savings account at a local bank. She deposited $2,500.00 into the account 5 years ago. If the account earns an annual simple interest rate of 7.1%, how much interest has she earned?
A.
$710.00
B.
$887.50
C.
$762.50
D.
$177.50

Answers

Answer:

The correct answer is B $887.5

Answer:

B.

887.50

Step-by-step explanation:

[tex]si = p \times r \times t \div 100[/tex]

[tex]si \: = 2500 \times 7.1 \times 5\div 100[/tex]

[tex]25 \times 7.1 \times 5[/tex]

[tex] = 887.50[/tex]

If WX≅WZ and m∠WYX=48°, what is m∠WYZ?

Answers

Answer:

48 degrees

Step-by-step explanation:

Since triangles WZY and WXY are congruent by HL, angles WYZ and WYX are congruent by CPCTC.

Can anyone solve this correctly?

Answers

Answer:

21.06 square feet

what the algebraic rule for a dilation with a scale factor of 3

Answers

Step-by-step explanation & answer:

When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.

For example, if the scale factor is "k", the algebraic representation of the dilation is

(x, y) → (kx, ky)

For enlargements, k > 1 and for reductions, k < 1.

Hope this is what you needed:)

The after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).

What is Dilation?

A dilation is an enlargement or reduction of a figure about a center of dilation by a specified scale factor [k].

Given is a algebraic rule for a dilation with a scale factor of 3.

Suppose that we have a point P(x, y) which is dilated by the

scale factor of 3. Now, after dilation of the coordinate, the final coordinates of that point P(x, y) will become P'(3x, 3y). If the scale factor would have been less than one the point will contract.

Therefore, the after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).

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75°
(2x + 1)°

HELP HAHA

Answers

Answer:

Simplifying

75 = 2x + -1

Reorder the terms:

75 = -1 + 2x

Solving

75 = -1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

75 + -2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0

75 + -2x = -1 + 0

75 + -2x = -1

Add '-75' to each side of the equation.

75 + -75 + -2x = -1 + -75

Combine like terms: 75 + -75 = 0

0 + -2x = -1 + -75

-2x = -1 + -75

Combine like terms: -1 + -75 = -76

-2x = -76

Divide each side by '-2'.

x = 38

Simplifying

x = 38

Step-by-step explanation:

Pharaoh has 240 color pencils. Of those pencils, there are red pencils and green ones. The numbers of red pencils are three times as many as the green pencils. How many red pencils?

Answers

Answer:

80 red pencils

Step-by-step explanation:

240/3=80

-x + 3 = 7

X=-4
X= 7
X= 4
X = -7

Answers

Answer:

x = -4

Step-by-step explanation:

Step 1: Write equation

-x + 3 = 7

Step 2: Solve for x

Subtract 3 on both sides: -x = 4Divide both sides by -1: x = -4

Step 3: Check

Plug in x to verify it's a solution.

-(-4) + 3 = 7

4 + 3 = 7

7 = 7

Need help please fast

Answers

As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;

[tex]{:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}[/tex]

[tex]{:\implies \quad \sf 4x-4+3x+1+y=13x-8}[/tex]

[tex]{:\implies \quad \sf y+7x-3=13x-8}[/tex]

[tex]{:\implies \quad \sf y=13x-8-7x+3}[/tex]

Collecting like terms :

[tex]{:\implies \quad \sf y=(13x-7x)+(-8+3)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}[/tex]

Hence , the length of Missing side is 6x-5

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