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Paul has a pocket full of 150 coins containing pennies, nickels and dimes. If 24% of his coins are pennies, and 51 of his coins

Paraphin [41]

Answer:He has 63 dimes

Step-by-step explanation:

Hope this helps!

24% of 150=36

51+36=87

150-87=63

8 0

3 years ago

What is the length of the missing leg?

Crank

Answer:

$a=\sqrt{609}\\\\a\approx 24.67793$

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

$a^2+b^2=c^2$

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

$a^2+b^2=c^2\\$

Substitute,

$a^2+40^2=47^2\\$

Simplify,

$a^2+1600=2209\\$

Inverse operations,

$a^2=609$

$a=\sqrt{609}\\\\a\approx 24.67793$

8 0

2 years ago

Read 2 more answers

Please show work on how you got the answer

Maurinko [17]

Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28

3 0

3 years ago

At every company meeting, the president speaks for 20 minutes and then takes questions from her employees. Let q represent the n

ololo11 [35]

Answer:

t = 20 + q (minutes)

Step-by-step explanation:

The meeting consists of speaking and Question & Answer (Q&A) sessions.

Speaking session = 20 minutes

Q&A session = q minutes

Total number of minutes spent for the two sessions = 20 + q (minutes)

But total number of minutes meeting lasted = t minutes.

Therefore, t = 20 + q (because they both represent the total number of minutes the meeting lasted)

4 0

3 years ago

A pizza place has pizzas in 2 different sizes, with 8 different flavors for the crust, and 8 different toppings.

mamaluj [8]

Use multiplication:

$2\text{ sizes}*8\text{ flavors}*8\text{ toppings}=\large\boxed{128\text{ pizzas}}$

This question is basically the same as the other question of yours that I answered, so the explanation is very similar:

You can imagine the possibilities as leaves on a tree. Your tree has 2 large branches to represent the two possible sizes. Each of those branch off into 8 smaller branches, each representing a crust flavor. Each one of the smaller branches has 8 leaves to represent a different topping. Each leaf is a combination of a size, a crust flavor, and a topping, so it represents a complete pizza. Your job is to calculate the number of leaves.

5 0

2 years ago