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3 years ago

I need help solving this

Mathematics

1 answer:

ladessa [460]3 years ago

5 0

I’m not that sure but
B is (-2,2)
A is (-4,-2)
C is (2,2)
Hope it helps!!

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What is the probability of rolling a 10 out a 12 sided die

lions [1.4K]

1/12

There is 1 side of the die that has a ten on it and 12 sides in total. Therefore, there is a 1/12 chance of rolling a ten on this die.

5 0

3 years ago

Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co

anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5

8 0

3 years ago

A ball was dropped from a height of 60m. Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped. Ho

asambeis [7]

Answer:

The ball traveled 116.25 m when it hit the ground for the fifth term

Step-by-step explanation:

This is a geometric progression exercise and what we are asked to look for is the sum of a GP.

The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.

First value, a = 60

Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.

This is the common ratio, r = 1/2 = 0.5

The number of terms it hits the ground is the number of terms in the GP.

number of terms, n = 5

The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

$S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 = \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 = \frac{58.125}{0.5} \\S_5 = 116.25 m$

4 0

3 years ago

In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket

-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

l = 45 – r Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96 Remove parentheses

2r + 135 - 3r = 96 Combine like terms

-r + 135 = 96 Subtract 135 from each side

-r = -39 Multiply each side by -1

r = 39 Substitute the value of r in Equation (1)

39 + l = 45 Subtract 39 from each side

l = 6

===============

Check:

(1) 39 + 6 = 45

45 = 45

(2) 2×39 + 3×6 = 96

78 + 18 = 96

96 = 96

4 0

3 years ago

The diameter of a circle is 20 centimeters. What is the circumference?

kati45 [8]

C ≈ 62.83cm is the answer!

Hope this helps!

3 0

3 years ago

Read 2 more answers