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3 years ago

Help asap show work for all

Mathematics

1 answer:

Ahat [919]3 years ago

5 0

Answer:

9) D) (-5,-3)

10) A) (3,1)

11) A) (-2,-2)

12) C) (-5,1)

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There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q

Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

Solution:

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

$\frac{nickel}{dime} = \frac{2}{3}$

$nickel = \frac{2}{3} dime$

$\frac{dime}{quarter} = \frac{2}{5}$

$quarter = \frac{5}{2}dime$

So,

$nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15$

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank

3 0

3 years ago

Help! Use trigonometric ratios to determine whether or not it is possible to construct triangle ABC if b = 3, c = 5, and B = 45°

elena-s [515]

No its not posible because the sine is 1.5 and it cant be higher then 1

7 0

3 years ago

Read 2 more answers

A bag contains tiles of different colors. Jackson randomly selects a tile from the bag and returns the tile to the bag after rec

quester [9]

Answer:

2/15

Step-by-step explanation:

The answer choices to this question do not make sense since probability is a measure that is always <= 1.0

Based on the number of times a particular colored tile is drawn we can assume that at the minimum there are 6 green, 20 red, 7 blue, 8 purple and 4 black tiles

Total number of tiles = 6 + 20 + 7 + 8 + 4 = 45

Probability of drawing a green tile = 6/45 = 2/15

3 0

2 years ago

Make a list of all 3 digit numbers using the digit 5, 2, and 6

HACTEHA [7]

Answer:

SOLUTION #1

If the digits are allowed to repeat, the answer is 27. (There are three ways to fill digit 1, three ways to fill digit 2, and three ways to fill digit 3. Therefore, there are 3 x 3 x 3 = 27 possibilities.)

SOLUTION #2

If the digits are NOT allowed to repeat, the answer is 6. (There are three ways to fill digit 1, only two ways to fill digit 2, and only one way to fill digit 3. Therefore, there are 3 x 2 x 1 = 6 possibilities.)

Step-by-step explanation:

Hope this Helped! :D

5 0

3 years ago

Read 2 more answers

Solve the equation. Round the answer to the nearest tenth. 3.6x = 5.5

Dima020 [189]

The answer would be 1.52777777777778, rounded to the nearest tenth would be x=1.5

3 0

4 years ago