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erma4kov [3.2K]
3 years ago
15

Whoever is good at math, please help me!

Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

I think it is 62.4 km.

Step-by-step explanation:

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You have 64 coins, consisting of pennies, nickels, and quarters. The value of
Romashka-Z-Leto [24]

Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

- You have 64 coins, consisting of pennies, nickels, and quarters

- The value of  the coins is $4.60

- Assume that there are p pennies, n nickles, and q quarters

∴ p + n + q = 64 ⇒ (1)

- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

∴ p + 5n + 25q = 460 ⇒ (2)

- You also know that you have three times as many nickels as  quarters

∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

- Substitute (3) in equation (1) and (4) in equation (2)

∴ p + 3q + q = 64

∴ p + 4q = 64 ⇒ (5)

∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

- Subtract equation (5) from equation(6) to eliminate p

∴ 36q = 396

- Divide both sides by 36

∴ q = 11

- Substitute the value of q in equation (5)

∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

∴ p = 20

- Substitute the value of q in (3)

∴ n = 3(11) = 33

∴ n = 33

<em>There are 20 pennies, 33 nickels and 11 quarters</em>

6 0
3 years ago
Read 2 more answers
Two angles are supplementary and have a ratio of 1:4. what is the size of the smaller angle
Dima020 [189]
Supplementary angles add up to 180 degrees
ratio of 1:4.....added = 5

1/5(180) = 180/5 = 36 <=== smaller angle
4/5(180) = 720/5 = 144 .... larger angle
4 0
3 years ago
Read 2 more answers
Now round 0.065 to the nearest hundredth.<br><br> 0.065 rounds to?
VladimirAG [237]
0.065 rounds to 0.100
7 0
3 years ago
Read 2 more answers
What are the values of the trigonometric ratios for this triangle?
nika2105 [10]

Answer:

sin = o/h = 5/13

cos = a/h = 12/13

tan = o/a = 5/12

o - opposite

a- adjacent

h - hypotenuse

6 0
2 years ago
Solve for &lt;1.<br> &lt;1<br> &lt;1 = [?]<br> &lt;2<br> &lt;4=123°<br> 57°
aleksandr82 [10.1K]

Answer:

Angle 1=66

Step-by-step explanation:

Step 1, solve for angle 2

<2+123=180 degrees

Angle 2=57 degrees

Step 2, solve for angle 1

Since this is an isosceles triangle, to solve for angle 1, the equation is 2(57)+x=180

Angle 1=66 degrees

4 0
3 years ago
Read 2 more answers
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