Jackson bought 3 pounds of candies for $9.75 What was the price of these candies in dollars per pound?

soldi70 [24.7K]

There are 20 nickels in 1 dollar so you would do 20 x 5 which is 100

So there are 100 nickels in 5 dollars :)

Brainliest Answer please.

8 0

3 years ago

Read 2 more answers

In ΔPQR, the measure of ∠R=90°, the measure of ∠Q=46°, and RP = 97 feet. Find the length of PQ to the nearest tenth of a foot.

Whitepunk [10]

Answer:

PQ = 134.9 feet

Step-by-step explanation:

sin 46 = 97/PQ

0.7193 = 97/PQ

PQ = 134.85 feet

5 0

3 years ago

A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere

SOVA2 [1]

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

$V=\pi r^2h$

Substitute the given values.

$48=\pi r^2r$ (since r = h)

$48=\pi r^3$

$48=3.14 \times r^3$

Divide by 3.14 on both sides.

$$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}$

$$15.28=r^3$

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

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

$$V=\frac{4}{3} \times 3.14 \times (2.48)^3$

$V=63.85$

The volume of the sphere is 63.85 cm³.

6 0

3 years ago

∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.<br>(show work please)

marissa [1.9K]

Answer:

156

Step-by-step explanation:

Since, ∠CAT and ∠TAD is a linear pair.

Therefore,

∠CAT + ∠TAD = 180°

14° + (x + 10)° = 180°

(x + 24)° = 180°

x + 24 = 180

x = 180 - 24

x = 156

3 0

3 years ago

Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card

Viktor [21]

Answer:

a) i) No

ii) Probability of drawing a diamond and then spade without replacement is 0.0637.

b) i) Yes

ii) Probability of drawing a diamond and then spade with replacement is 0.0625

Step-by-step explanation:

Part a) Without replacement:

i) Are these events independent?

No, because the both events are dependent. because a card taken out of the deck is not replaced back before taking out the other card so the chances of event occur change.

ii) Determine the probability of drawing a diamond and then a spade without replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after taking diamond = 52 -1 =51

Spades = 13

Probability of drawing a spade = 13/51

Probability of drawing a diamond and then spade = 13/52 * 13/51

= 169/2652

=0.0637

So, Probability of drawing a diamond and then spade without replacement is 0.0637

Part b) With replacements

i) Are these events independent?

Input Yes or No:

Yes, these events are independent because a card taken out of the deck is replaced back before taking out the other card so the chances of event occur doesn't change.

ii) Determine the probability of drawing a diamond and then a spade with replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after replacing diamond = 52

Spades = 13

Probability of drawing a spade = 13/52

Probability of drawing a diamond and then spade = 13/52 * 13/52

= 169/2704

=0.0625

So, Probability of drawing a diamond and then spade with replacement is 0.0625

7 0

3 years ago