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3 years ago

10

A school district is proposing a 5% increase in the number of days in a school year. Currently there are 180 days in a school ye

ar. How long would a school year be with the proposed increase?

1 answer:

jarptica [38.1K]3 years ago

5 0

189 days
Because 5%x 180=9
And 180+9 = 189

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Proportions, assist me please!

Anit [1.1K]

Step-by-step explanation:

$w = \frac{1}{2} {x}^{2} y \\ (2)w = \frac{1}{2} {x}^{2} y(2) \\ 2w = {x}^{2} y \\ \frac{2w}{ {x}^{2} } = \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y$

<h3>Answer:</h3>

$y = \frac{2x}{ {x}^{2} } \\$

6 0

3 years ago

A spinner contains four equally shaded areas, as shown below. A spinner contains 4 equally shaded areas. 2 sections are shaded b

VashaNatasha [74]

Answer: A, B, and D

Explanation:

6 0

2 years ago

Read 2 more answers

A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

2 years ago

If 30g of sugar is needed to make 4 cakes how much grams of sugar is needed to make 7 cakes

arsen [322]

There's two ways to do this.

The first way:
Work out the amount of sugar needed to make one cake, and then multiply that by 7.

30 grams ÷ 4 cakes = 7.5 grams for 1 cake.
7.5 grams × 7 cakes = 52.5 grams for 7 cakes.

The second way:
Work out the ratio of sugar:cake by doing 7 ÷ 4, and then multiplying that value by 30.

7 cakes ÷ 4 cakes = 1.75
1.75 × 30 grams = 52.5 grams for 7 cakes.

Either way, the answer is 52.5 grams.

6 0

3 years ago

PLS HELP I NEED HELP NOW<br> I BEG

stepan [7]

Hello there! The area of the triangle portion is 11 square units, the area of the rectangle portion is 77 square units, and the area of the entire figure is 88 square units.

To find the area of the triangle, we can follow the formula:

A = LW/2 (which means length x width divided by 2)

Given the formula:

2 • 11 = 22

22 divided by 2 gives us 11 square units.

To find the area of the rectangle portion, we can follow the area formula:

A = LW (which means area = length x width)

Given the formula:

7 • 11 = 77 square units

To find the area of the whole figure, we add the areas of both isolated shapes:

11 + 77 = 88 square units.

Therefore, our area for the entire figure is 88 square units. If you need any extra help, let me know and I will gladly assist you.

7 0

1 year ago