M/7 + 1 = 6 ? What is it equal too

A bowl contained 49.7 grams of salt. Then, Charlie poured in another 41.14 grams. How much salt does the bowl contain now?

professor190 [17]

Answer:

90.84

Step-by-step explanation:

49.7+41.14= 90.84

6 0

3 years ago

Since 201020102010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed ti

barxatty [35]

Answer:

48,558

Step-by-step explanation:

The function which models the relationship between the elapsed time, t in years, since 2010 and the town's population, P(t), is given as:

$P(t)=36800\cdot2^{^\dfrac{t}{25}}$

Now, 2020-2010=10 Years

Therefore we are required to calculate the population of the town 10 years after.

To do this, we simply substitute t=10 in the function.

$P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558$

According to the model, the population in Fall River will be 48,558 in the Year 2020.

7 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

Add or subtract them in simplest form please help me as fast as possible

NARA [144]

Answer:

Okay so im seeing you need help okay I will tell you how to do number 21 as an example

Step-by-step explanation:

Look for a commen donominater of the 3/8 and 1/3 the denominater would be 24 so 8 times 3 and 3 times 3 so those would be 9/24 and 3/24 , do the 8 plus the ten and you get 18 so 18+ 9/24+3/24= 18 12/24, or 18 1/2

8 0

3 years ago

The length of a rectangle is 17 m and the width is 12 m what is the perimeter of the rectangle

lbvjy [14]

Answer:

<h2>The answer is 58 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

length = 17 m

width = 12 m

Substitute the values into the above formula and solve for the perimeter

We have

Perimeter = 2(17) + 2(12)

= 34 + 24

We have the final answer as

Hope this helps you

5 0

3 years ago