Ask question

Ask question

All categories

2 years ago

13

A crate contains 300 coins and stamps. The coins cost $3 each and the stamps cost $1.5 each. The total value of the items is $82

5. How many coins are there?

1 answer:

WINSTONCH [101]2 years ago

7 0

Let the number of stamps be s and the number of coins be c.

This means that s+c=300 and 3c+1.5s=825.

Multiplying the first equation by 3 yields 3s+3c=900.

Subtracting the second equation from this gives that 1.5s=75, and thus s=50.

It follows that c=250, so there are <u>2</u><u>5</u><u>0</u> coins.

You might be interested in

This graph shows a reciprocal parent function.

maxonik [38]

Answer:

C. The function is never increasing

Step-by-step explanation:

According to the graph, the line goes down in both sections as the value of x increases. It means the function is always decreasing.

<u>Correct answer choice is:</u>

C. The function is never increasing

3 0

2 years ago

Read 2 more answers

Arrange the cones in order from lease volume to greatest volume

bearhunter [10]

Answer:

Volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

cone with DIAMETER of 18 & height of 10

cone with RADIUS of 10 & height of 9

cone with RADIUS of 11 & height of 9

cone with DIAMETER of 20 & height of 12

Step-by-step explanation:

Let $V_{2}. V_{3}. and\ V_{4}.$ be the volume of the cone.

Let d, r and h be the diameter, radius and height of the cone.

Given:

$d_{1} = 20\ and\ h_{1}=12$

$d_{2} = 18\ and\ h_{2}=10$

$r_{3} = 10\ and\ h_{3}=9$

$r_{4} = 11\ and\ h_{14}=9$

Arrange the cones in order from lease volume to greatest volume.

Solution:

The volume of the cone is given below.

$V=\pi r^{2} \frac{h}{3}$ ----------------(1)

where: r is radius of the base of cone.

and h is height of the cone.

The volume of the cone for $d_{1} = 20\ and\ h_{1}=12$

$r_{1} = \frac{d_{1}}{2}$

$r_{1} = \frac{20}{2}=10\ units$

$V_{1}=\pi (r_{1})^{2} \frac{h_{1}}{3}$

$V_{1}=\pi (10)^{2} \frac{12}{3}$

$V_{1}=\pi\times 100\times 4$

$V_{1}=400\pi\ units^{3}$

Similarly, for volume of the cone for $d_{2} = 18\ and\ h_{2}=10$

$r_{2} = \frac{d_{2}}{2}$

$r_{2} = \frac{18}{2}=9\ units$

$V_{2}=\pi (r_{2})^{2} \frac{h_{2}}{3}$

$V_{2}=\pi (9)^{2} \frac{10}{3}$

$V_{2}=\pi\times 81\times \frac{10}{3}$

$V_{2}=\pi\times 27\times 10$

$V_{2}=270\pi\ units^{3}$

Similarly, for volume of the cone for $r_{3} = 10\ and\ h_{3}=9$

$V_{3}=\pi (r_{3})^{2} \frac{h_{3}}{3}$

$V_{3}=\pi (10)^{2} \frac{9}{3}$

$V_{3}=\pi\times 100\times 3$

$V_{3}=\pi\times 300$

$V_{3}=300\pi\ units^{3}$

Similarly, for volume of the cone for $r_{4} = 11\ and\ h_{4}=9$

$V_{4}=\pi (r_{4})^{2} \frac{h_{4}}{3}$

$V_{4}=\pi (11)^{2} \frac{9}{3}$

$V_{4}=\pi\times 121\times 3$

$V_{4}=\pi\times 363$

$V_{4}=363\pi\ units^{3}$

So, the volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

7 0

3 years ago

I need this answer ASAP

nexus9112 [7]

Answer:

216 cm²

Step-by-step explanation:

6*6=36

36*6=216

6 0

3 years ago

Read 2 more answers

During his vacation, Brian used 7 rolls of 24- Photo film. How many photos did Brian take?

wel

So the its basically 7x24 and 7x24 is 168. Hope this helped

4 0

3 years ago

Read 2 more answers

Runchuan filled his 6-cup jar with honey. How many times could he fill his 2-fluid-ounce honey bear

nlexa [21]

Answer:

144

Step-by-step explanation:

Since there are 48 fluid-ounce in a cup, we can do 6 x 48

6 x 48 = 288

Now we know how much fluid ounces are in the 6 cups we can divide by the honey bear ( 2 fluid ounce ).

288/2 = 144

3 0

2 years ago