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3 years ago

Abby and Annie have the same number of coins.

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

Answer:

2400 coins

Step-by-step explanation:

What we should do is calculate the Least Common Multiple of 80 and 75, since each of us put together a group with this amount of coins, this way we will know the amount of coins when they are equal.

To obtain the L.C.M

you have to factor both numbers and multiply the numbers whose exponent is the highest, it looks like this:

75 = 5 ^ 3

80 = 2 ^ 4 * 5

We multiply those with the highest exponent,

5 ^ 3 = 75

2 ^ 4 = 16

75 * 16 = 1200.

L.C.M. is 1200.

Since they tell us that they have less than 2000 coins, this is the correct answer, because when assembling these groups in this way, they coincide again in 2400, which is over the limit.

So, each one has 1200 coins, in total it would be:

1200 * 2 = 2400

Between them they have a total of 2400 coins

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Georgia [21]

Answer:

a. x=2, y=13

b. x=14, y=25

c. x=−4, y=13

Step-by-step explanation:

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3 years ago

Mrs Lefatshe bought 15 metres of cloth.the cost of 1 metre is P69.95. how much did she have to pay?

irina1246 [14]

Answer:

1042.5

Step-by-step explanation:

Given :-

Mrs Lefatshe bought 15 metres of cloth.the cost of 1 metre is P69.95 .

Using Unitary Method :-

→ Cost of 1 m is P 69.95

→ Cost of 15m is P ( 69.5 * 15 ) = P 1042.5

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3 years ago

What is the Value of x+y ? PLZ Help ASAP

Natalija [7]

ANSWER

$x + y = 60$

EXPLANATION

Method 1

Vertically opposite angles are equal, therefore

$3x + 55 = 85$

This implies that,

$3x = 85 - 55$

We simplify to get,

$3x = 30$

Dividing through by 3 gives,

$x = 10$

Also,

$2y - 5 = 95$

This implies that,

$2x = 95 + 5$

We simplify the right hand side to get,

$2x = 100$

We divide both sides both sides by 2 to get,

$x = 50$

$x + y = 50 + 10$

$x + y = 60$

Method 2

Angles on straight line sums to 180°.

$2y-5+85=180$

This implies that,

$2y+80=180$

$2y=180-80$

$2y=100$

$y=50$

Also,

$3x+55+95=180$

$3x+150=180$

$3x=180-150$

$3x=30$

$x=10$

$x+y=50+10$

$x+y=60$

7 0

3 years ago

Read 2 more answers

Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x

N76 [4]

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

<h3>How to determine the circle equation?</h3>

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

brainly.com/question/1559324

4 0

3 years ago

Karen spends $600 on bills each month. Of this total, 10% is for phone, 1/4 is for internet, and 3/5 is for utilities. If the re

dalvyx [7]

Answer:

$30

Step-by-step explanation:

divide 600 by 10 to get 60

divide 600 by 4 to get 150

divide 600 by 5 to get 120, then multiply 120 by 3 to get 360.

600-60-150-360=30

3 0

3 years ago