it takes an engineer three hours to drive to his brother's house at an average speed of 50miles per hour. If he takes the same route home, but his average speed is 60 miles per hour, what is the time, in hours that it takes him to drive home?​

Answers

Answer 1

Answer:

2.5 hours

Step-by-step explanation:

→ Write the formula

Speed = Distance ÷ Time

→ Find the distance for 3 hours at a speed of 50 mph

Distance = Speed × Time ∴ 3 × 150 = 150

→ Now work out the time

150 ÷ 60 = 2.5 hours


Related Questions

solve for completing the square x^2-12x+11=0

Answers

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex]                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5

Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle the cost for a bus with 50 people?

Answers

Answer:

$106

Step-by-step explanation:

So, this is what we know:

$6 per vehicle (1 bus) + $2 per person (50 people)

Here is the solution:

= $6 + $100

= $106

ok this is stressin me out anyone know this

Answers

X=7.
9x-7y=63
9x-7 x 0=63
9x - 0=63
9x=63
X=7.

Y=-9
9 x 0 -7y=63

Can someone help answering my questions in English and Math

Answers

Answer:

yo

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

For the first question, it's the third line, the second one after zero.

For the second question, it's the 7th line in total, the 6th one after zero.

Step-by-step explanation:

Two angles in a triangle are have the same measurement. The third angle is 12 degrees less than
the first angle. What are the measurements of angle 1, 2 and 3? (hint: you will need to know
how many degrees are in an triangle)

Answers

There are 180 degrees in a triangle and if two of them are the same we can call them both a:

a + a + b = 180
2a + b = 180

Next, b is 12 degrees less than a so:
a - 12 = b

2a + a - 12 = 180
3a - 12 = 180

Add 12 to both sides
3a = 192

Find a:
a = 192 / 3
a = 64

This means angle 1 and angle 2 are equal to 64 degrees and angle 3 is 52 degrees

To check:
64 + 64 + 52 = 180 degrees

Multiply.


[−8 ⋅ 4/11] ⋅ [(−0.1) ⋅ 22]


What is the product?


pls help!!!

Answers

The answer is 6.4
Fraction form: 32/5

write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2

Answers

Answer:

3, 9, 81, 6561

Step-by-step explanation:

previous term × itself

[tex]\\ \sf\longmapsto f(n)=[f(n-1)]^2[/tex]

f(1)=3

[tex]\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9[/tex]

[tex]\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81[/tex]

[tex]\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561[/tex]

Helppppppp plzzzzzzz

Answers

Answer:

102°

Step-by-step explanation:

Angles in a straight line is added up to 180°

So,

Angle 1 + Angle 2 = 180°

Given that,

Angle 2 = 78°

We can find angle 1

Let us find,

Let the angle 1 be x

[tex]x+78=180\\x=180-78\\x=102[/tex]

As a and b lines are parallel,

Angle 1 = Angle 5 (Corresponding angles)

Also we already found the angle 1

So,

Angle 5 = 102°

Hope this helps you.

Let me know if you have any other questions :-)

What is the y-intercept for the equation 4x+2y=6?

Answers

Answer:

The y intercept is 3

(0,3)

Step-by-step explanation:

4x+2y=6

To find the y intercept, set x =0 and solve for y

4(0) +2y = 6

0+2y = 6

Divide by 2

2y/2 = 6/2

y =3

The y intercept is 3

(0,3)

please help ME I BEG YOU​

Answers

Step-by-step explanation:

I think it is 44.

if wrong forgive me.

hope this helps.

Answer:

44

Step-by-step explanation:

1. To round a number to the nearest 10, look at the ones-digit. If the digit is 5 or more, round up (raise the score). If the digit is 4 or less, round down (let it rest).

2. The ones-digit in 44 is 4 or less, meaning we round down. The 4 in the ones-place becomes zero, and therefore, rounds to 40.

Therefore, the answer is 44.

Which statement is true about the expressions below?

Answers

Is there a attachment because I don’t see anything

Seventh grade
M.10 Multi-step problems with percents 2HX
Tutorial
A store purchased a digital camera and marked it up 100% from the original cost of $863.57.
A week later, the store placed the digital camera on sale for 40% off. What was the discount

Answers

Answer:

$690.86

Step-by-step explanation:

100% from the original cost is: 2 x 863.57 = $1,727.14

40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)

(40 * 1,727.14) / 100 = $ 690.86

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$69. A season ski pass costs ​$350. The skier would have to rent skis with either pass for ​$25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes? The skier would have to go skiing nothing days. plz answer right and give more info on how u got the answer ty

Answers

Divide the season pass cost by the daily capstone:

350 / 69 = 5.07

They would have to ski 6 days for the season pass to be less expensive

Nick will apply for a business loan for his toy company. The loan officer asked Nick to determine the
company's current value and growth for the next few years. Nick projected a steady growth rate for his
toy business.

Is Nick's model linear or exponential? How do you
know?

Year Project Value
0 $25,000.00
1 $26,250.00
2 $27,562.50
3 $28,940.63
4 $30,387.66
5 $31,907.04

PLEASE HELP ME ✔️

Answers

Answer:

Dividing the current value by the previous value ALWAYS equals 1.05.

Since the growth rate is constant, it is linear.

Step-by-step explanation:

Answer:

Exponential

Step-by-step explanation:

The relationship is linear when the rate of change is constant. It means the sequence of the dependent variable forms an arithmetic sequence.

We see the the sequence of Projected Value is not arithmetic but geometric sequence with common ratio of 1.05.

It will have equation:

y = 25000*1.05ˣ

This is therefore exponential.

This​ week, 951 people went to the beach. Last​ week, 1,173 people went to the beach. The number of people who went to the beach fell by what​ percent?
HELP ME PLS

Answers

It fell by 19%
Use 1173 as your total and then find the percent from 951 and subtract from 100 and that’s the percent that fell

I need a lil help here (18 points!!!!!)

Answers

Answer:

correct answer is 2

............................

Answer U4

Step-by-step explanation:

blank is 4

What ratio is equivalent to 9:6 ?

12:8
7:4
3:1
15:10

Answers

Answer:

15:10

Step-by-step explanation:

15:10 can be reduced into 3:2 by dividing with 5

and 9:6 can be reduced to 3:2 by dividing with 3

keep smiling.

Answer:

D

Step-by-step explanation:

just got in edg 2021

can anyone heelp me pls

Answers

Answer:

lotion 3,. suspension 2, capsule 1 , I think

Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?

Answers

Using weighted average, it is found that she should score 67% on the computer science test.

The weighted average is given by each proportion multiplied by it's score.

In this problem, the proportions and scores are given by:

Proportion of 32% = 0.32 for a score of 300.Proportion of x for a score of 200.Proportion of 46% = 0.46 for a score of 300 + 200 = 500.

Then

[tex]0.32(300) + 200x = 0.46(500)[/tex]

[tex]200x = 0.46(500) - 0.32(300)[/tex]

[tex]200x = 134[/tex]

[tex]x = \frac{134}{200}[/tex]

[tex]x = 0.67[/tex]

She should score 67% on the computer science test.

A similar problem is given at https://brainly.com/question/24855677

what is rhe vertex of the graph of the function f(x)=x²+6x+9​

Answers

what is rhe vertex of the graph of the function f(x)=x²+6x+9

yall what is this? I dont really know what to do

Answers

Answer:

you did it right

Step-by-step explanation:

Tbh you were actually correct

Question 1:
Write the specific equation for the kinetic energy E (measured
in Joules) of an 1100-kg car. Use this equation to compare the kinetic
energy of an 1100-kg car moving at a velocity of 10 meters per second to
the kinetic energy of the same car moving at 3 times the velocity.

Answers

Answer:

Step-by-step explanation:

KE = ½mv²

KE₁₀ = ½(1100)10² = 55000 = 55 kJ

KE₃₀ = ½(1100)30² = 495000 = 495 kJ

9 times greater

Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place


Answers

Hi,

Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.

Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4

Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.

But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.

Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.

Good Luck

Which angles are corresponding angles?

Answers

Answer:

OPN and QPS are corresponding angles

< OPN and < RSP are corresponding angles.


Corresponding angles are two angles that are on the same side of the transversal, one an interior angle (between the lines), the other an exterior angle that were not adjacent.

< OPN is the exterior angle, and < RSP is the interior angle.

If A = {1, 4, 5, 6, 7}, B={1, 2, 5, 8, 9} and C={3, 4, 5}
Then find A∪ B ∪ C

Answers

Answer:

A U B U C = {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

This is the correct form

Answer:

A={1,4,5,6,7}

B={1,2,5,8,9}

C={3,4,5}

AUBUC= all elements of A,B,C

={1,2,3,4,5,6,7,8,9}

Can someone please hurry and finish this question please!!!! Will give brainliest

Answers

Answer:

2b. R line is lower.

2c. It is lower because the y-intercept is negative.

Answer: ill take one for you john

Step-by-step explanation:

Marc edits a video he took in class. He cuts 9 seconds from the start. Then he cuts 3 seconds from the end. The clip is 5 seconds long. What was the starting length of the video?

Answers

Answer:

17 seconds

Step-by-step explanation:

17 seconds was how long it was

Order the expressions by choosing >,<, or =

Answers

Answer:

1. <

2. <

3. >

Step-by-step explanation:

Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.

1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2=32[/tex]

[tex]=32[/tex]

[tex]2^2 = 2\times2[/tex]

[tex]2\times2=4[/tex]

[tex]32\times4=128[/tex]

[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]

128 < 1024

2. [tex]2^2=2\times2=4[/tex]

[tex]5^2=5\times5=25[/tex]

[tex]4\times25=100[/tex]

[tex]=100[/tex]

[tex]2^{10} = 1024[/tex]

100 < 1024

3. [tex]2^5 = 32[/tex]

[tex]5^2=25[/tex]

[tex]32\times25=800[/tex]

[tex]10^2 = 10\times10 = 100[/tex]

800 > 100

Hope this helps.

Your business requests a 3-month loan for
$500,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.0% and LIBOR is at 2.1%?
interest paid = $ [?]
=
Round to the nearest hundredth.
Entor

Answers

Answer:

im preety sure its 561500

Step-by-step explanation:

4.1% x 4 is 61500 + 500000 = 561500

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