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2 years ago

There are 3 boys for every 4 girls in a class. If there are 16 girls, how many boys are there?

Mathematics

2 answers:

ololo11 [35]2 years ago

4 0

12 simple mental math ty

sergejj [24]2 years ago

3 0

If there are 3 boys for every 4 girls in a class, there would be 12 boys because 16 ÷4 us 4, and 4×3 is 13.

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A water balloon is tossed into the air. The function h(x)=-0.5(x-4)squared +9 gives the height, in the feet, of the balloon from

NNADVOKAT [17]

Answer:

No, the maximum height that the balloon can reach is 9ft.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.

Vertex form: f (x) = a(x - h) 2 + k

Where:

(h, k) is the vertex of the parabola-

h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).

k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).

In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.

So, the maximum height that the balloon can reach is k=9ft.

9 ∠ 12

The balloon will not hit the ceiling 12 ft above the pool.

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

Anyone know how to do this? If so plz help

bekas [8.4K]

NOTES:

Use the equation y = mx + b where m is the unit rate and b is the one-time flat fee

1. Answer:

$\begin {array}{c||c|c|c|c}x&0&1&2&3\\ y&70.00&70.20&70.40&70.60\\\end{array}$

Step-by-step explanation:

coffee maker costs $70 - this is a one-time flat fee

it costs $0.20 per cup of coffee - this is the unit rate

y = 0.20x + 70

y = 0.20(0) + 70 → y = 0.00 + 70 → y = 70.00

y = 0.20(1) + 70 → y = 0.20 + 70 → y = 70.20

y = 0.20(2) + 70 → y = 0.40 + 70 → y = 70.40

y = 0.20(3) + 70 → y = 0.60 + 70 → y = 70.40

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2. Answer:

$\begin {array}{c||c|c|c|c}x&1&2&3&4\\ y&4.50&6.00&7.50&9.00\\\end{array}$

Step-by-step explanation:

shoes costs $3.00 - this is a one-time flat fee

it costs $1.50 per game of bowling - this is the unit rate

y = 1.50x + 3.00

y = 1.50(1) + 3.00 → y = 1.50 + 3.00 → y = 4.50

y = 1.50(2) + 3.00 → y = 3.00 + 3.00 → y = 6.00

y = 1.50(3) + 3.00 → y = 4.50 + 3.00 → y = 7.50

y = 1.50(4) + 3.00 → y = 6.00 + 3.00 → y = 9.00

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3. Answer: Negative

Step-by-step explanation:

As the x-values increase, the y-values decrease. Opposite directions results in a negative slope.

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4. Answer: Gym A → y = 20x + 50 Gym B → y = 25x + 30

Step-by-step explanation:

Use the slope formula: $m = \dfrac{y_2-y_1}{x_2-x_1}$ . Then choose ONE of the points and input the point (x₁, y₁) and slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y.

Gym A: (x₁, y₁) = (1, 70) and (x₂, y₂) = (2, 90)

$m=\dfrac{90-70}{2-1} = \dfrac{20}{1} = 20$

y - 70 = 20(x - 1)

y - 70 = 20x - 20

y = 20x + 50

Gym B: (x₁, y₁) = (1, 55) and (x₂, y₂) = (2, 80)

$m=\dfrac{80-55}{2-1} = \dfrac{25}{1} = 25$

y - 55 = 25(x - 1)

y - 55 = 25x - 25

y = 25x + 30

5 0

2 years ago

How to find the area of a tilted square?

Katena32 [7]

A square has 4 sides of equal legnths
in your point of view, it looks tilted because it is actually a rhombus, a paralellogram (4 sided figure with 2 pairs of paralell sides) with 4 equal sides

to find the area, just multiply base by height (look at ilustration/attachmtns)

3 0

3 years ago

What is the ordered pair of (0,2)

wel

Given, (0,−2).

Since the x-coordinate is 0, the point clearly lies on y-axis.

Also, the y-coordinate −2 being negative, the point lies on the negative y-axis.

3 0

3 years ago

louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is

OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20 = 400 m^2.

Proof:

Let the sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter 2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A we find the derivative and equate it to 0:

derivative A' = 40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0

2 years ago