there are 1,920 fence pounds used in a 12- kilometer stretch of fence. How many fence posts are used in 1 kilometer of fence?

in a card game,each player is dealt 5 cards.Make a table to show the total number of cards dealt for each number of players from

DENIUS [597]

So since each player is dealt 5 cards
ratio of cards per player is 5:1

so if 3 players
5 times 3=15 cards

4 players=4 times 5=20 cards

5 players=5 times 5=25 cards

6 players=6 times 5=30 cards

ratio of cards per player is 5:1

5 0

4 years ago

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A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever

sergejj [24]

Answer:

884

Step-by-step explanation:

We know the ratio of A to B is 5:8

let x = the multiplier

then

5x = amt of compound A

and

8x = amt of compound B

:

5x + 8x = 884

13x = 884

x = 884/13

x = 68 is the multiplier

therefore

5(68) = 340 millilters of compound A needed

:

Confirm our answer. Find the amt of B

8(68) = 544 ml of B

340 + 544 = 884

5 0

3 years ago

Will spent $3.75 for 5 1/2 pounds of granola. What is his unit rate in dollars per pound to the nearest cent?

Nataliya [291]

Answer:

Unitary cost (per pound)= $0.682

Step-by-step explanation:

Giving the following information:

Total cost= $3.75

Total pounds= 5.5 pounds

<u>To calculate the unitary cost of each pound, we need to use the following formula:</u>

Unitary cost= total cost / total pounds

Unitary cost per pound= 3.75 / 5.5

Unitary cost per pound= $0.682

7 0

3 years ago

Two cubes have surface areas of 72 square feet and 98 square feet. what is the ratio of the volume of the small cube to the volu

Serjik [45]

Let's denote the sides of the small and bigger cubes a and b respectively. Then, we can write that 6 $a^{2}$ =72, a= $2\sqrt{3}$ and 6 $b^{2}=98, b=[tex] \frac{7}{sqrt{3}}$ . The volume of the smaller cube is $2 sqrt{3} ^{3}$ = $24 sqrt{3}$ . The volume of the bigger cube is $\frac{7}{sqrt{3}}^{3}$ = $\frac{343}{3sqrt{3}}{$ . We have to find $\frac{24 sqrt{3}}{frac{343}{3sqrt{3}}$ = 216/343

3 0

3 years ago

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Compute the radius of the circle with a circumference of<br> 109.9 millimeters.

GarryVolchara [31]

Answer:

The radius of the circle is 17.5 millimeters

Step-by-step explanation:

* Lets explain how to compute the radius of a circle from its

circumference

- Circle is the locus of all points equidistant from a given point,

this point is called the center of the circle.

- The distance from the center of the circle to a point on the circle is

called the radius of the circle

- The circumference of a circle is the length of the closed cure

- The relation between the radius of a circle and its circumference is

C = 2πr, where C is the circumference and r is the radius

* Lets solve the problem

- The circumference of a circle is 109.9 millimeters

- We need to find the radius of the circle

∵ The circumference of the circle = 109.9 millimeters

∵ The circumference of a circle = 2πr

- Substitute the value of the circumference in the equation above

∴ 109.9 = 2πr

- Divide both sides by 2

∴ 54.95 = πr

- Divide both sides by π (π ≅ 3.14)

∴ r = 17.49 ≅ 17.5

∴ The radius of the circle is 17.5 millimeters

5 0

3 years ago