A car is moving at a uniform speed of 75km /hour.

a. How far will it travel in 20 minutes

b. Find the time required to cover a distance of 250km. fast

Answers

Answer 1
Answer to a is 25 km. Reason is that 75/60= 1.25 , therefore going 1.25 km a min. Now myltiply that by 20 and you get 25 km in 20 minutes. Answer to b should be roughly 3 hours and 33 minutes. The reason is that 250 km / 75km/ hour = 3 hours 33 min.
Hope this helps

Related Questions

What is the solution to the equation below? In x= -4

A. X=0.31
B. X=0.02
C. X=-54.60
D. X=-1.39

Answers

Answer:

  B. X=0.02

Step-by-step explanation:

The solution to the natural log equation is found by taking antilogs.

  ln(x) = -4 . . . . . . . given equation

  x = e^-4 . . . . . . . take antilogs

  x ≈ 0.0183156

  x ≈ 0.02 . . . . rounded to 2 decimal places

_____

Additional comment

Essentially, we use each side of the equation as a power of e.

  e^ln(x) = e^(-4)

  x = e^-4 . . . . . . . simplified

Choices C and D can be eliminated by the fact that ln(x) for x < 0 is undefined. x cannot be negative.

Find the equations of the circle which is tangent to both axes and their center lies on the line 2x+3y=10

Answers

Answer:

(x - 2)² + (y - 2)² = 4

Step-by-step explanation:

The circle is tangent to both axes, so the radius = x = y

Center is on 2x + 3y = 0, so 2x + 3x = 1-

x = 2 = y

center: (2, 2)

radius = 2

equation: (x - 2)² + (y - 2)² = 2²

(x - 2)² + (y - 2)² = 4

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.45. See the figure below.
If the monthly cost for 13 HCF is $46.33, what is the monthly cost for 17 HCF?

Answers

The monthly cost for 17 hundred of cubic feet is $52.13.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the bill paid for x HCF of water.

The slope is 1.45, hence m = 1.45.

The monthly cost for 13 HCF is $46.33, hence:

46.33 = 1.45(13) + b

b = 27.48

y = 1.45x + 27.48

For 17 HCF:

y = 1.45(17) + 27.48 = 52.13

The monthly cost for 17 hundred of cubic feet is $52.13.

Find out more on linear equation at: https://brainly.com/question/14323743

I WILL GIVE BRAINLIEST Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$120
B.$85
C.$70

Answers

Answer:

the answer is A

Step-by-step explanation: it is A because 45 percent of $166 is $47.7 and if you subtract it from 166 it turns out to be $118.3

Mom paid me 15.00 i now have 47’.00 how much did I start with

Answers

Answer:

You started with 32.00

Step-by-step explanation:

47 minus 15 is 32

Construct the truth table for:

p → (q ∧ r)

The choices below represent the final column for the truth table. Identify the correct answer.

Answers

You should know that

p ⇒ q ≡ ¬p ∨ q

so that

p ⇒ (q ∧ r) ≡ ¬p ∨ (q ∧ r)

Then making the truth table is simple:

[tex]\begin{array}{cccccc} p & q & r & \neg p & q \land r & p \implies (q\land r) \\ T & T & T & F & T & T \\ T & T & F & F & F & F \\ T & F & T & F & F & F \\ T & F & F & F & F & F \\ F & T & T & T &  T & T \\ F & T & F & T & F &  T \\ F & F & T & T & F & T \\ F & F & F & T & F & T \end{array}[/tex]

you record the number of sunny days out of a sample of 90 randomly selected days in city a and city b. in city a's sample there were 54 sunny days. in city b sample there were 63 sunny days.

Is City B significantly sunnier than City A? use a significance level of 0.05

Answers

The significance level shows that z approximately equals 1.41 for a p-value of 0.078642.

How to calculate the p-value?

Based on the complete question, the sample proportion for city A will be:

= 54/90 = 0.60

The sample proportion for city B will be:

= 63/90 = 0.70

Using the table given, it can be deduced that the test statistic value will be 1.41. Therefore, the p-value will be 0.078652 in the Excel function.

Since the p-value is greater than 0.05, then we fail to reject the null hypothesis that there is no difference in the commute time.

Learn more about significance level on:

https://brainly.com/question/4599596

6. Find the value of each missing variable.

Answers

Answer:

x = 110

y = 102

z = 82

Step-by-step explanation:

Angles that create a line are equal to 180

x + 70 = 180

x = 110

y + 78 = 180

y = 102

A quadrilateral's angles add up to 360

110 + 78 + 90 + z = 360

278 + z = 360

z = 82

Building A and Building B are 500 meters apart. There is no road between them, so to drive from building A to Building B, it is necessary to first drive to building C and then to Building B. А 500 m b 60° B C a Find the distance from Building A to Building C. Round to the nearest whole number O 577 m O 447 m O 433 m O 250 m​

Answers

The distance from building A to building C is 433m

Right angle triangle:A right angle triangle has one of its angle as 90 degrees. The sides can be found using trigonometric ratios.

Therefore,

sin 60° = opposite / hypotenuse

sin 60° = b / 500

cross multiply

b = 500 sin 60°

b = 500 × 0.86602540378

b = 433.0127

b = 433 meters

learn more on right angle triangle here: https://brainly.com/question/20795478

Divide
(3x⁴ +7x³-20x²-30x+25) ÷ (x²+x−6)

Answers

Answer:

[tex]3x { }^{2} + 4x - 6 - \ \frac{11}{x {}^{2} + x - 6 } [/tex]

How far is it from the gift shop to the bank?
Bank is -3,-2

Answers

Answer:

-1 I apologize if I'm wrong

Answer:

-5 steps away

explanation:

Add the x and y axis and then count how many it resulted in.

I'm not sure where the gift shop was, but since that wasn't included I had to assume it was at (0, 0). Let me know so I can change this if I need to. Thank you.

Order the steps to factor the quadratic trinomial completely.

Answers

Answer:

1, 4, 3, 5, 6

Step-by-step explanation:

5(5x² - 9x) = 45x + 40 ← distribute parenthesis on left side

25x² - 45x = 45x + 40 ← subtract 45x + 40 from both sides

25x² - 90x - 40 = 0 ← factor out 5 from each term

5(5x² - 18x - 8) = 0

5(x(5x + 2) - 4(5x + 2))

5(x - 4)(5x + 2)

Answer:

The order is: 1, 4, 3, 5, 6

Step-by-step explanation:

5(5x² - 9x) = 45x + 40

25x² - 45x = 45x + 40

25x² - 90x - 40 = 0

5(5x² - 18x - 8) = 0

5(x(5x + 2) - 4(5x + 2)

5(x - 4)(5x + 2)

The order is: 1, 4, 3, 5, 6

what is 23/100 plus 7/10​

Answers

Answer:

93/100

Step-by-step explanation:

You have to make the denominator the same so

7x10=70 and 10x10=100. Then you add 23+70 which is 93 so the answer is 93/100

Solve for X to the nearest tenth.

Answers

Answer:

x = 2•sqroot(5)

x ~= 4.47

Step-by-step explanation:

Draw a line to make the "top" part be a

4 × 3 rectangle. see image.

Then you will have a right triangle on the bottom. It has legs 2 and 4 units long. Use the Pythagorean theorem to solve for x. see image.

Answer:

4.5

Step-by-step explanation:

Jane has a pile of 6 books. Together, the books weigh 4 pounds. If the books aresimilar in weight, about how much does each book weigh?

Answers

Answer:

this is just division

6/4=1/2

each book weighs 1/2

Hope This Helps!!!

Answer:

the answer is 1.5 pounds

Step-by-step explanation:

just took the the test


zack and grace share a sum of money in the ratio 9:11 what percentage of the money does zack receive

Answers

Answer:

Percentage of Money Zack receives =

[tex]\bold{\frac{the \:share \:he\: gets \:in\: ratio \:form}{Total \:share \:in\: ratio \:form} \times 100}\\[/tex]

[tex] \bold{\frac{9}{11 + 9} \times 100} \\ \\\bold{ ⇢ \frac{9}{\cancel{20}} \times\cancel{ 100} }\\ \\ \bold\blue{ ⇢ 45\%}[/tex]

hope helpful~

URGENT!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

aₙ = a₁ * 2ⁿ⁺¹

Step-by-step explanation:

a₁ = 6

a₂ = 12

a₃ = 24

Note a₂/a₁ = 2 = a₃/a₂

So it is a geometric sequence with common ratio of 2

a₂ = a₁ * 2 = a₁ * 2¹ = a₁ * 2²⁺¹

a₃ = a₂ * 2 = a₁ * 2 * 2 = a₁ * 2² = a₁ * 2³⁺¹

Then

aₙ = a₁ * 2ⁿ⁺¹

Mary and Vincent climbed up a rock wall at the park, Mary climbed 3/4 the way up the wall, Vincent climbed 3/8 of the way up the wall, who climbed higher, how will i use this information?

Answers

Answer:

Mary climbed higher

Step-by-step explanation:

think of it like this a wall is four feet and you climb 3 feet up. You are closer to the top than if you climbed 3 feet up a 8 wall.

80 points. Please answer!

Answers

Answer:

a cube that is 1 yard long, 1 yard wide, and 1 yard high

Step-by-step explanation:

The dimensions for a unit cube are:

[tex]1\times1\times1[/tex]

Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent).

Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.

Answer:

I guess 4, because it has only 1 unit in it, and not 9 inches^3.

Step-by-step explanation:

Hope this helps.

A research finds that 50% of all commuters in a metropolitan area take the train to work. The researcher polls 250 people in the area and asks them whether they take the train to work. What is the number of trials for this but binormal experiment?

Answers

Answer:

Good morning! Number of trials are 250.

Step-by-step explanation:

A researcher finds 50% of all commuters in a metropolitan area take the train to work.

The researcher polls 250 people in the area to ask them whether they take the train to work or not.

We have tell the number of trials for this binomial experiment.

Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.

_AnnieTheDreamGirl, 3/8/2022

x=50 x=52 x=46 x=48 fast pls only 20 min

Answers

Answer:

X=48

Step-by-step explanation:

100 = 2x+4

100-4 = 2x

96 = 2x

96/2 = x

x = 48

Marie has $60,000 in a savings account that earns 7% interest per year. How much will she have in 4 months?

Answers

Answer:

21,400

Solving steps:

Since, Marie has $60,000 in a savings account that earns 7% interest per year.

Find: How much will she have in 4 months.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: solution[/tex]

Step 1: Find the money for the 7% rate

=> [tex] 60000 \times \frac{7}{100} [/tex]

=> [tex] \frac{60000}{1} \times \frac{7}{100} [/tex]

cancel the two zeros of 60,000 and 100

=> 600 × 7

=> 4,200

Add 4,200 to 60,000

=> 64,200

per year = 64,200

Now, divide 64,200 by 12

since 12 months to make one year

=> 64,200 ÷ 12

=> 5,350

now multiply it by 4 months she gets 5350 per month

=> 21,400

a. The number 6 is 7 units away from 13 on a number line.
Which other integer is 7 units away from 6 on a
number line?

B.which integers are 10 units away from 5 on a number line?

C.Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?

Please answer thiss, thank you guys so much!!!!!!! :)

Answers

Answer:

a. -1

Subtracting 6-7 would give you -1. Negative 1 is 7 units from the number 6.

b. -5 and 15

Adding and subtracting 10 from 5 would give you -5 and 15.

c. -3

Starting at -7, and going to the right 4 means that Darcy moved +4. -7+4 would give you negative 3.

Answer:

[A] - 1

[B] - 5

[C] -3

Step-by-step explanation:

[A] The number 6 is 7 units away from 13 on a number line. Which other integer is 7 units away from 6 on a number line?

Solve:

6+7=13

6-7=-1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[B] which integers are 10 units away from 5 on a number line?

Solve:

5-10=-5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[C] Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?

Solve:

-7+4=-3

Negative + Positive =[ Negative]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x – 10)
What is the value of x?

Answers

Answer:

28

Step-by-step explanation:

2*28 = 56

3*28 = 84 -10 = 74

74+56+50 = 180

180 degrees in a triangle

PLEASE HELP!!

Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.


Enter the answer as an equation.

Answers

Answer:

The axis of symmetry of this parabola will be the line x=−b2a .

Step-by-step explanation:

Graph the parabola y=x2−7x+2 .

Compare the equation with y=ax2+bx+c to find the values of a , b , and c .

Here, a=1,b=−7 and c=2 .

Use the values of the coefficients to write the equation of axis of symmetry .

The graph of a quadratic equation in the form   y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .

Substitute x=72 in the equation to find the y -coordinate of the vertex.

y=(72)2−7(72)+2    =494−492+2    =49 − 98 + 84     =−414

Therefore, the coordinates of the vertex are (72,−414) .

Answer:

2

Step-by-step explanation:

There are 250 students in the 6th grade. 45 percent of the students eat lunch 4th period. How many students eat lunch 4th period?

Answers

Answer

About 112 students eat lunch 4th period

Step-by-step explanation:

250*.45 = 113

112.5 rounded is 112 because there can not be any half students

114 Students.

There are 114 students.

Please help! My friend is doing missing assignments <3

Answers

Answer:

4 1/4 in.

Step-by-step explanation:

Highest record: 24 ft. 6 3/4 in.

John's best long jump: 24 ft. 2 1/2 in.

convert 1/2 to have denominator of 4...

1/2 x 2/2=2/4

subtract from highest record...

3/4-2/4=1/4

add to whole numbers...

6-2=4

4+1/4= 4 1/4

Two types of tickets are available for a charity ball event: $18 for a reserved seat and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets for the day was $3,600, how many seats were allotted for general admission?

Answers

Answer:

# of reserved seats = R;  # of general admission seats = G

                                                    G - R = 85

                                         $18R + $9G =$3600

Multiply 1st equation by 18:  18G - 18R = 1530

Rearrange 2nd equation:   $9G + $18R =$3600

Combine the equations:               27 G  =   5130

                                                       G  =  190

                                                       R  =  105

Step-by-step explanation:

Find the value of x. show work

Answers

Answer:x = √77orx = 8.77

Step-by-step explanation:

it's a right triangle

Pythagorean theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

x² = 9² - 2²

x² = 81 - 4

x² = 77

x = √77

or

x = 8.77

---------------------

A homeowner needs to construct a ramp to their front door. How long should the ramp be if the door is 4ft above the ground and the angle of elevation is 20°?

Answers

Step-by-step explanation:

we want to find the hypotenuse

soh cah toa

he have hypotenuse and opposite

soh

sin 20 = H/4

can u do the rest and put answer in comments please mark brainest

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