All categories

3 years ago

A van moves with a constant speed of 36 miles per hour How long will it take to travel a distance of 177 miles?

Mathematics

1 answer:

Temka [501]3 years ago

7 0

9514 1404 393

Answer:

4 hours 55 minutes

Step-by-step explanation:

Time, speed, and distance are related by ...

t = d/s

t = (177 mi)/(36 mi/h) = 4 33/36 h = 4 11/12 h

The fractional part of this time is ...

11/12 hour is (11/12)(60) = 55 minutes

The van will take 4 hours and 55 minutes to travel a distance of 177 miles.

You might be interested in

AABC is a right triangle. If AC = 15 and BC = 17, find AB.

Schach [20]

Answer:

AC=15

BC=17

AB=?

According to Pythagore's Theorem: AB² + AC² = BC².

AB² = BC² - AC²

= (17)² - (15)²

= 289 - 225

AB² = 64

AB = √(64)

= 8.

So AB = 8.

4 0

3 years ago

(9 - 2).<br> Your answer<br> 7. Evaluate 7 x 4 + 10(5 - 3)^2 + 4^2. *<br> Your answer

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Because i am smart

7 0

2 years ago

Read 2 more answers

Please answer this correctly without making mistakes

boyakko [2]

Answer:

105/4 or 26.25 mi

Step-by-step explanation:

hillsdale to fairfax 8 7/8 = 71/8

fairfax to yardley = 17 3/8 = 139/8

71/8 + 139/8 = 105/4 or 26 2/8

7 0

3 years ago

The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with

Paraphin [41]

Answer:

a.) $N(x) = N_{0} e^{bx}$

b.) therefore b = $\ln \frac{2142}{2100} = \ln (1.02) = 0.0198$

b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

so we can write $N_{0}$ = 2100.

a.) so we can write the equation as an exponential function given by

$N(x) = N_{0} e^{bx}$ where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

therefore 2142 = 2100 $\times (e^{b\times 1})$ = 2100 $e^{b}$

b.) therefore b = $\ln \frac{2142}{2100} = \ln (1.02) = 0.0198$

b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

5000 = 2100 $e^{0.0198x}$

therefore x = $\frac{1}{0.0198} \ln{(\frac{5000}{2100} )} = 43.81 \hspace{0.1cm}months$

The club will not be able to get more than 5000 members during its first year.

7 0

3 years ago

2. Draw the image of ∆RST under the dilation with scale factor ⅓ and center of dilation at the origin. Label the image ∆R’S’T’.

Alchen [17]

Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.

R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)

So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.

6 0

3 years ago

A van moves with a constant speed of 36 miles per hour How long will it take to travel a distance of 177 miles?​

A van moves with a constant speed of 36 miles per hour How long will it take to travel a distance of 177 miles?