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3 years ago

There are 60 balloons. 4/12 are black and 3/12 are white. The rest are red. How many are red?

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

Answer:

Step-by-step explanation:

4/12+3/12=7/12

1-7/12=5/12 are red

5/12 of 60=25

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2(3x+5)-4(x-1) what is equivalent in simplified form

vesna_86 [32]

Let's simplify step-by-step.

2(3x+5)−4(x−1)

Distribute:

=(2)(3x)+(2)(5)+(−4)(x)+(−4)(−1)

=6x+10+−4x+4

Combine Like Terms:

=6x+10+−4x+4

=(6x+−4x)+(10+4)

=2x+14

Answer:

=2x+14

7 0

3 years ago

The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (−1, 8). The ball reach

sukhopar [10]

Answer:

The required equation is:

$y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4$

Explanation:

Let us assume that the hole is at y = 0m, with x as the time.

From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)

At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)

We know that the vertex of the parabola y = ax² + bx + c is at

$x =\frac{-b}{2a}$

therefore we have:

$-1 = \frac{-b}{2a}$

We then have the following equations:

$8 = a\times -1^2 + b\times -1 + c$

$0 = a\times -1^2 + b\times 1 + c$

$-1 = \frac{-b}{2a}$

From the 3rd equation we have

1 X 2a = b.

Therefore we have:

$8 = a\times -1^2 - 1\times 2a\times1 + c$

$0 = a\times 1^2 + 1 \times2a\times 1 + c$

We can simplify both equations and get:

$8 = a\times( -1^2 - 2s^2) + c = -a\times 3^2 + c$

$0 = a\times(1^2 + 2^2) + c = a\times 3^2 + c$

The first equation now becomes:

$8 = -a\times 3 - a\times 3 = -a\times 6$

$a = frac{8}{-6} = -\frac{4}{3}$

With a, we can find the values of c and b.

$c = -a\times3 = -(-\frac{4}{3})*3 = 4$

$b = 1\times 2a = 1\times 2(-\frac{4}{3})= -\frac{8}{3}$

Then the equation is:

$y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4$

6 0

3 years ago

The graph of the following system of equations is...

Salsk061 [2.6K]

B/parallel lines. This is because:
equation a) y=-2x+6
equation b) 3y=-6x+18 or if you divide by 3 on both sides y=-2x+6 (so actually they're effectively the same line)

6 0

3 years ago

Read 2 more answers

Solve for X (15x-23)

Stells [14]

Answer:

15 ^2 − 2 3

Step-by-step explanation:

3 0

3 years ago

What about the equation?

HACTEHA [7]