The distance between Mr. Tomback’s hometown and NYC is 36 centimeters on a road map. The map scale indicates that 5cm on the map represents 125 kilometers in real life. If Mr. Tomback drives at an average speed of 80 kilometers per hour, then how many hours will it take him to get home from NYC?

Answers

Answer 1

Answer:

First, we need to figure out the number of kilometers.

if 5 cm is equivalent to 125 kilometers in real life this means

1 cm is equivalent to 25 kilometers making the conversion much easier.

36 centimeters multiplied by 25 is 900,  which means in real life the distance between Mr.Tomback's hometown and NYC is 900 kilometers.

900 km ÷ 80 kmh

= 11.25000000

= 11 hours

0.25000000 × 60

= 15.00000000

= 15 minutes

it will take him 11 hours and 15 minutes to get home to NYC


Related Questions

Luigi's Fine Dining charges $32.09 for its prix fixe meal plus $39.26 for every drink, d, you purchase. The equation that models the total cost (T) is T(d )= 39.26d + 32.09 Which value in the equation represents the rate of change?

A .. The number of drinks purchased
B .. $32.09
C .. $39.26
D .. $71.35

Answers

Answer:

C. $32.09, since it's not the fixed cost, it changes based on how much drinks are purchased.

A
It depends on the amount of drinks purchased to change the bill

The base of a triangle is 4 ft more than the height. If the area is 30ft2, find the base and the height.

Answers

Answer:

Base = 10 ft. and the height = 6.

Step-by-step explanation:

Area of triangle = 1/2bh

base is 4 + h  ⇔  base = 4 + h

height = h

Using the formula for the area of triangle substitute into the formula the given facts.

A = 1/2bh

30 = 1/2(4 + h) (h)

30 = 1/2(4h + h²)     Multiply both sides by 2

60 = 4h + h²

-60 =           -60      Add -60 to both sides

0 = h²+ 4h -60        

(h + 10)(h - 6) = 0      Factor

h + 10 = 0    h - 6 =0

h = -10         h = 6

reject any negative number and use the positive answer for h.

So h = 6      and the base = 4 + 6 ; base = 10

I don’t understand, please help

Answers

Answer:

cosA=root8/3 is the answer

Help, please

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.

−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3:negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five

Answers

Answer:

The first step.

Step-by-step explanation:

Let F(x)=∫
t−3
t
2+7
for − ∞ < x < ∞
x
0
(a) Find the value of x where F attains its minimum value.
(b) Find intervals over which F is only increasing or only decreasing.
(c) Find open intervals over which F is only concave up or only concave down.

Answers

(a) It looks like you're saying

[tex]\displaystyle F(x) = \int_0^x (t - 3t^2 + 7) \, dt[/tex]

Find the critical points of F(x). By the fundamental theorem of calculus,

F'(x) = x - 3x² + 7

The critical points are where the derivative vanishes. Using the quadratic formula,

x - 3x² + 7 = 0   ⇒   x = (1 ± √85)/6

Compute the second derivative of F :

F''(x) = 1 - 6x

Check the sign of the second derivative at each critical point.

• x = (1 + √85)/6 ≈ 1.703   ⇒   F''(x) < 0

• x = (1 - √85)/6 ≈ -1.370   ⇒   F''(x) > 0

This tells us F attains a minimum of

[tex]F\left(\dfrac{1-\sqrt{85}}6\right) \approx \boxed{-6.080}[/tex]

(b) Split up the domain of F at the critical points, and check the sign of F'(x) over each subinterval.

• over (-∞, -1.370), consider x = -2; then F'(x) = -7 < 0

• over (-1.370, 1.703), consider x = 0; then F'(x) = 7 > 0

• over (1.703, ∞), consider x = 2; then F'(x) = -3 < 0

This tells us that

• F(x) is increasing over ((1 - √85)/6, (1 + √85)/6)

• F(x) is decreasing over (-∞, (1 - √85)/6) and ((1 + √85)/6, ∞)

(c) Solve F''(x) = 0 to find the possible inflection points of F(x) :

F''(x) = 1 - 6x = 0   ⇒   6x = 1   ⇒   x = 1/6

Split up the domain at the inflection point and check the sign of F''(x) over each subinterval.

• over (-∞, 1/6), consider x = 0; then F''(x) = 1 > 0

• over (1/6, ∞), consider x = 2; then F''(x) = -11 < 0

This tells us that

• F(x) is concave up over (-∞, 1/6)

• F(x) is concave down over (1/6, ∞)

Which function results in f(x)=13?

Answers

Answer:

The answer is B

Step-by-step explanation:

plug 2 into x to see

A.

x^2 + 8

2^2 + 8

4 + 8 = 12

B.

3x^2 + 1

3(2)^2 + 1

3(4) + 1

12 + 1 = 13

C.

2x^3 + 5

2(2)^3 + 5

2(8) + 5

16 + 5 = 21

D.

x^2 + x

2^2 + 2

4 + 2 = 6

Customers at Musicland can buy 4 DVDs for $15. How many DVDs can April buy at Musicland with $75?

Answers

Answer:

20 I believe because 15 divided by 4 is 3.75 so I then divided 75 by 3.75 giving me 20:)

A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 26 yd and is 5.1 feet deep. Find the cost for filling the pool if the city charges $1.50 per 1000 gallons. Use the conversion 1 gallon = 0.134 cubic ft.
Round your answer to two decimal places.

Answers

The cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97

Given:

Length = 25 yd

width = 26 yd

Height = 5.1 ft

convert yard to feet

25 yd = 75 ft

26 ft = 78 ft

Volume of the pool = length × width× height

= 75 × 78 × 5.1

= 29,835 cubic ft

1 gallon = 0.134 cubic ft.

222,649.3 gallon = 29,835 ft

charges per 1000 gallon = $1.50

Total charges = 222,649.3 gallon / 1000 gallon × $1.50

= 222.6493 × 1.50

= 333.97395

Approximately,

$333.97

Therefore, the cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97

Learn more about volume:

https://brainly.com/question/12978944

Please help with this question please and thank you

Answers

Answer:

I need help with this too!!!

Step-by-step explanation:

Answer:

what does it mean?

Step-by-step explanation:

I do not understand.

One angle in a complementary pair of angles measures 3 times the other angle.
What is the measure, in degrees, of the
smaller angle?

Answers

Answer:

22.5 degrees

Step-by-step explanation:

Complementary angles add up to be 90 degrees. You can model the simple equation [tex]x+3x=90[/tex] where is x is the small angle and 3x is the large angle.

[tex]4x=90\\x=22.5[/tex]

the smaller angle is 22.5 degrees

Which statement is generally true about retirement?
A. Your income will increase, while your expense will stay the same.
B. Your income will decrease, while your expenses will increase.
C. Your income will increase, while your expenses will decrease.
D. Your income will decrease, while your expenses will stay the same.

Answers

The general statement that is true about retirement is B. your income will decrease, while your expenses will increase.

Retirement is the leaving of one's of occupation. This means you cease to be involved in active service in a job or occupation especially when one is considered old and of retirement age.

During retirement, retirement benefits and pension are usually made available to retirees. However, one's income will come to a decline which makes most people scared of retirement. Keeping up with the standard of living they are used to becomes difficult as income to sustain such may not be available.

Therefore, the general statement that is true about retirement is B. your income will decrease, while your expenses will increase.

Learn more about retirement on:

https://brainly.com/question/3063811

Answer:

It's B

Step-by-step explanation:

Just took it

LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given )

Answers

Step-by-step explanation:

follow the steps in the picture. I've started it for you all you need to do is finish

need help with solving this please

Answers

since its an equilateral triangle, the angles are all 60 degrees.

cos60 = opposite / hypothenuse = x / sqrt3

cos60 = 1/2

x = sqrt3/2

Answer:

3/2

Step-by-step explanation:

Since the shape is an equilateral triangle, all the angles are equal measure, 60° and all the sides are also of equal measure that was given, root3. So half of the triangle has length (root3)/2. The perpendicular drawn in the interior is also an angle bisector. The triangles created are 30°-60°-90° triangles. The sides of this special right triangle are in the ratio

s : 2s : sroot3

The longest side of the 30-60-90 triangle is given. The shortest side is half the length of the longest side. The length of the long leg is the short leg × root3

In this diagram the short leg is (root3)/2 .

(root3)/2 × root3 = 3/2

See image.

expand and simplify 3(5x+1)+5(5x-4)​

Answers

Answer:

40x-17

Step-by-step explanation:

what is linear independent vector​

Answers

A set of vectors is called linearly independent if no vector in the set can be expressed as a linear combination of the other vectors in the set. If any of the vectors can be expressed as a linear combination of the others, then the set is said to be linearly dependent.

Solve the inequality below for z.
8z+3>3z-17
A.z>-4
B.z<-14/5
C.z<-4
D.z>-14/5

Answers

a.
8z+3 > 3z-17
subtract 3 from both sides
8z > 3z -20
subtract 3z from both sides
5z > -20
divide both sides by 5
z > -4
Answer: z > -4Step-by-step explanation:8z + 3 > 3z - 17=> 8z - 3z > -3 - 17=> 5z > -20=> z > -4Conclusion:

Therefore, the solved inequality is z > -4.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Simplify fully
x2 - 9
3x2 + 8x - 3
+
X-3
x+2

Answers

(-3x³+2x²+4x+24) (x-2)

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

8x

The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?

Answers

7/8 = 35/40
1/5 = 8/40

35 8 27
—- ➖ —- = —-
40 40 40


27/40 miles

Image attached giving 25 points please help

Answers

Answer:

i think x = -5, y = -7 is a other solution set

This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Cassie wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 7%.



Calculate the amount of sales tax Cassie will pay on the purchase. Round to the nearest cent if necessary.



sales tax: $

Listen to the complete question
Part B
Fill in the blank question.
How much will Cassie pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.



total cost: $

Answers

Answer:

$10.12

Step-by-step explanation:

Step one:

given data

we are told that the cost of binoculars is $155.75

and also the sales tax is 7%

Step two:

We want to first solve for the sales tax which is 7% of  $155.75

=7/100* 155.75

=0.070*155.75

=10.12

Cassie will pay a tax of $10.12

Also Cassie will pay a total amount of

= 155.75+10.12

=$165.87

Solve |2x - 5| = 4.
a. {x | x = 0.5 or x = 4.5}
b. {x | 0.5 < x < 4.5}
c. {x | x = -4.5 or x = 4.5}

Answers

x = 4.5 x = .5
Step-by-step explanation:
|2x - 5| = 4
The absolute value has two solutions one positive and one negative
2x-5 = 4 2x-5 = -4
Add 5 on each side
2x-5+5 = 4+5 2x-5+5 = -4+5
2x = 9 2x =1
Divide by 2
2x/2 =9/2 2x/2 = 1/2
x = 4.5 x = .5

Help Meh I need it SOON

Answers

Step-by-step explanation:

the option you chose (<C~=<Y) is absolutely correct.

Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?

Answers

5% of 60$ is 3$. So sales tax is 3$. Total cost is 63$

SOMEBODY PLZ CHECK IF MY ANSWER ARE CORRECT NO LINKS PLZ AND THANK YOU

Answers

Answer:

the first one's right i think

I think there all right but I just started at that so… :)

Helppp it’s due today

Answers

Answer:

128

Step-by-step explanation:

128!!!! mhm mhm mhm mhm mhm

Help me with my math please​

Answers

Step-by-step explanation:

1 _21:00_ , _22:10_, 1:10

2. 1:20

3. 18:00

4. 21:35

1. 21:00, 22:10, 1 hr and 10 minutes

2. 20 minutes

3. 18:40

4. 21:35

A bakery asks 75 customers to vote for a new bagel flavor. Onion flavor receives 33 votes. Cheddar flavor receives 42 votes. Use this information to answer the questions below. What fraction shows the proportion of customers who voted for cheddar flavor? What percent of customers voted for cheddar flavor?

Answers

Using proportions, it is found that:

The fraction that shows the proportion of customers who voted for cheddar flavor is [tex]\frac{42}{75}[/tex]56% of customers voted for cheddar flavor.

A proportion is the number of desired outcomes divided by the number of total outcomes.A percentage is the proportion multiplied by 100%.

In this question, 42 out of 75 customers voted for the cheddar flavor, hence:

[tex]p = \frac{42}{75}[/tex]

That is, the fraction that shows the proportion of customers who voted for cheddar flavor is [tex]\frac{42}{75}[/tex]

The percentage is:

[tex]\frac{42}{75} \times 100\% = 56\%[/tex]

56% of customers voted for cheddar flavor.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

please help with this!!!!

Answers

Answer:

6311000

Step-by-step explanation:

The first thing we do is calculate the total amount of people in both states. 6.89 x10 raised to the 6th power is equal to 6890000. Then we multiply 5.79 by 10 to the fifth power, which equals to 579000. Then we subtract the numbers, and get 6311000. They want you to answer in standard notation, which is the regular way of writing numbers such as 10, instead of 10^1.

The difference in population

[tex] = (6.89 \times {10}^{6} ) - (5.79 \times {10}^{5} ) \\ = (6.89 \times 10 \times {10}^{5} ) - (5.79 \times {10}^{5} ) \\ = (68.9 \times {10}^{5} ) - (5.79 \times {10}^{5} ) \\ = (68.9 - 5.79) \times {10}^{5} \\ = 63.11 \times {10}^{5} [/tex]

Answer:

[tex]63.11 \times {10}^{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

For her phone service, Kala pays a monthly fee of $24, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $118.64.
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.

Answers

Answer:

m=1352

Step-by-step explanation:

(118.64-24)/0.07=m

Melissa has 120 kilograms of rice. Her mother sold 105 kilograms. What percent of the rice was sold? with solution :D please​

Answers

Answer:

225

Step-by-step explanation:

po ang answer ko

please comment if I'm wrong

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