1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anton [14]
1 year ago
10

Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far did shetravel in one hour?On the double number lin

e below, fill in the given values, then use multiplication ordivision to find the missing value.

Mathematics
1 answer:
Tcecarenko [31]1 year ago
8 0

We have a question on motion with the elements of distance, time taken and speed.

This question in particular is asking us for distance per unit time (in this case, hours).

We are required to find out how much distnace is covered in on hour and our approach will be as follows:

\text{Speed= }\frac{\text{Distance}}{\text{time}}=\frac{180\text{miles}}{4\text{hours}}=\frac{45\text{ miles}}{1\text{ hour}}

This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.

Now we plot our number line.

You might be interested in
Use the compound interest formulas A=P e^rt to solve the problem given. round answers to the nearest cent.
goblinko [34]

Answer:

a) $20,771.76

b) $20,817.67

c) $20,484.80

d) $20,864.52

Step-by-step explanation:

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

<u>Part (a): semiannually</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 2
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=15000\left(1+\frac{0.055}{2}\right)^{2 \times 6}

\implies \sf A=15000\left(1.0275}{2}\right)^{12}

\implies \sf A=20771.76

<u>Part (b): quarterly</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 4
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=15000\left(1+\frac{0.055}{4}\right)^{4 \times 6}

\implies \sf A=15000\left(1.01375}\right)^{24}

\implies \sf A=20817.67

<u>Part (c): monthly</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 12
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{12 \times 6}

\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{72}

\implies \sf A=20484.80

<u>Continuous Compounding Formula</u>

\large \text{$ \sf A=Pe^{rt} $}

where:

  • A = Final amount
  • P = Principal amount
  • e = Euler's number (constant)
  • r = annual interest rate (in decimal form)
  • t = time (in years)

<u>Part (d): continuous</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=15000e^{0.055 \times 6}

\implies \sf A=20864.52

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/28004698

4 0
2 years ago
Find the exact surface area of the following. The exact surface area is
Nataliya [291]

Answer:

Surface area: 4323pi

Fill the box with the value "4323", as there is a "pi" after the box.

Step-by-step explanation:

We need to find the surface area of the cone (without the base) and the surface area of the semi sphere (without the base).

The surface area of the cone, without the base, is:

S1 = pi * r * s

Where s is the slant height.

To find s, we can use the Pythagoras' theorem with the radius and the height:

s^2 = h^2 + r^2

s^2 = 56^2 + 33^2 = 4225

s = 65

So the surface area is:

S1 = pi * 33 * 65 = 2145pi

Now, to find the surface area of the semi sphere, we just need to find half of the surface area of a sphere:

S2 = (1/2) * 4 * pi * r^2

S2 = 2 * pi * 33^2 = 2178pi

Finally to find the total surface area we just need to sum both surface areas:

S = S1 + S2 = 2145pi + 2178pi = 4323pi.

As after the box to answer there is a pi, we just need to fill the box with the value "4323"

7 0
3 years ago
Need help ASAP answer ASAP
Feliz [49]

Answer:

1A= 27+43= 70

Step-by-step explanation:

you add the values of each thing they are asking so for the next one you would do, Cakes Plus Biscuits. So 86+59 and that will give you your answer for 1B

6 0
3 years ago
Simply the following expression by combining like terms 5w + 7v - 8w + v - w + 2y
Dafna11 [192]
-4w + 8v + 2y = -4w + 8v + 2y
7 0
2 years ago
You had $20 to spend on seven avocados. After buying them you had $6. How much did each avocado cost?
mestny [16]
They each cost 2 dollars

8 0
3 years ago
Read 2 more answers
Other questions:
  • An airplane is headed on a bearing of 159° at an airspeed of 211 km per hr. A 44 km per hr wind is blowing from a direction of 2
    7·1 answer
  • Sketch the number using base ten blocks 163
    11·1 answer
  • Erin wants to carpet the floor of her closet a floor plan of the closet is shown how much carpet does Aaron need
    13·2 answers
  • One classroom has 25 printers for 60 computers. Another classroom has 5 printers for 12 computers, is the rate of printers to co
    11·1 answer
  • Which of the following is true of histograms? (Check all that apply.)
    6·2 answers
  • what does sam need to score on the fourth test to ensure that she will have an average of90% for all four tests?
    7·1 answer
  • [4x(6-3)] + [(8-2) divided by 2)<br><br> PLEASE HELP ME IM STUCK ON THIS QUESTION ON A TEST
    10·2 answers
  • A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.
    15·1 answer
  • Suppose that the number of patients on the kidney waiting list from 2003 to 2010 can be modeled by the equation ​, where x0 repr
    12·1 answer
  • HELP ME PLEASEEEEEEEEEEEEEEEEEEEE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!