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2 years ago

15

A boat goes 3/4 hours with a speed of 8mph and 1/3 hours with a speed of 12mph. What distance did the boat cover in all this tim

e?

1 answer:

Ludmilka [50]2 years ago

4 0

Answer:

<em>10 miles</em>

Step-by-step explanation:

Distance d = v t

v - speed/velocity

t - time

<em>d</em> = $\frac{3}{4}$ (8) + $\frac{1}{3}$ (12) = 6 + 4 = <em>10 miles</em>

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How long does it take you and students 2 and 3 to clean up a 12 ft. X 12 ft wall covered in graffiti? Besides the answer (be spe

Ostrovityanka [42]

Answer:

At a combined speed of 6 in/min, it takes us 24 mins to clean the wall

Step-by-step explanation:

Since the question did not provide the speed with which each student cleans, we can make assumptions. This is so that we can solve the question before us

Assuming student 1 cleans at a speed of 2 inches per minute, student 2 cleans at a speed of 2½ inches per minute & student 3 cleans at a speed of 1½ inches per minute.

Let's list the parameters we have:

Height of wall (h) = 12 ft, Speed (student 1) = 2 in/min, Speed (student 2) = 2½ in/min, Speed (student 3) = 1½ in/min

Speed of cleaning wall = Height of wall ÷ Time to clean wall

Time to clean wall (t) = Height of wall ÷ Speed of cleaning wall

since students 1, 2 and 3 are working together, we will add their speed together; v = (2 + 2½ + 1½) = 6 in/min

1 ft = 12 in

Time (t) = h ÷ v = (12 * 12) ÷ 6 = 144 ÷ 6

Time (t) = 24 mins

8 0

2 years ago

Jerry’s rhombus has a base of 15 inches and a height of 9 inches. Charlene’s rhombus has a base and a height that are 13 the bas

neonofarm [45]

Answer: The area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.

Step-by-step explanation:

I will assume that the exercise says " $\frac{1}{3}$ times the base and height of Jerry’s rhombus".

The area of a rhombus can be calculated with the following formula:

$A=b*a$

Where "b" is the length of the base and "a" is the altitude or the height.

Then, you can calculate the area using the formula shown above.

Therefore, you get:

1. Jerry's rhombus:

$A_1=(15\ in)(9\ in)\\\\A_1=135\ in^2$

2. Charlene's rhombus:

$A_2=(\frac{1}{3}*15\ in)(\frac{1}{3}*9\ in)\\\\A_2=(5\ in)(3\ in)\\\\A_2=15\ in^2$

Dividing the area calculated, you get:

$\frac{135\ in^2}{15\ in^2}=9$

Therefore, you can conclude that the area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.

7 0

3 years ago

Read 2 more answers

X2<br>2<br>ab<br>ab to<br>b<br>The diagian<br>K<br>n shows<br>rectangle. The shade<br>Find x.<br>

Norma-Jean [14]

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

5 0

2 years ago

iris has 120 songs on her playlist each week she downloads 4 new songs. write an expression to show the total number of songs on

Leni [432]

Answer:

4 W = n of songs on her playlist

$n \leqslant 120$

6 0

2 years ago

Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run

muminat

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

$Drops = 140ft$

$Run = 40ft$

Coaster 2:

$Drops = 105ft$

$Run = 30ft$

First, we calculate the slope (m) of both coasters

$m = \frac{Rise}{Run}$

$m = \frac{Drops}{Run}$

For coaster 1:

$m = \frac{140ft}{40ft}$

$m = \frac{140}{40}$

$m = 3.5$

For coaster 1:

$m = \frac{105ft}{30ft}$

$m = \frac{105}{30}$

$m = 3.5$

<em></em> $m = m=>3.5 = 3.5$ <em></em>

<em>By comparison, they have the same slope</em>

8 0

3 years ago