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tigry1 [53]
2 years ago
15

The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. T

he cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?
Mathematics
1 answer:
Bas_tet [7]2 years ago
4 0

Answer: It would cost $150 for a party of 9 people and it would cost $260 for 20 people

Step-by-step explanation:

The number 9 falls in between 0<n<_ 12 so the cost is 150

The number 20 falls in between 12<n<_ 20 so the cost is 260

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Maria has baked a cake for Cathy's birthday. The dimensions of the cake are 13 1/2 inches by 6 3/4 inches. The cake is going to
ycow [4]

Answer:

Step-by-step explanation:

Given:

Length = 27/4 in

Width = 27/2 in

5.55% of the cake = 5.55/100

= 1/18 

Therefore, 18 equal squares of cake where 1 piece is 5.55 % of the cake

Since, the cake is twice as long as it is wide, so that means cut half the cake (27/4 × 27/4) into 9 pieces.

Therefore, each has a side of 1/3 * 27/4

= 9/4 inches.

8 0
3 years ago
6/5 ÷ ____ = 6<br><br> A. 1/5<br> B. 30 <br> C. 1/30<br> D. 5
murzikaleks [220]

Answer:

A. \displaystyle \frac{1}{5}

Step-by-step explanation:

\displaystyle \frac{6}{5} \div \frac{1}{5} = 6 \\ \\ OR \\ \\ \frac{6}{5} \div 6 = \frac{1}{5}

I am joyous to assist you anytime.

4 0
3 years ago
9 cm<br> 4 cm<br> Fine the area
Lelechka [254]

Answer:

area formula: base x height 9x4=36

Step-by-step explanation:

7 0
3 years ago
a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l
GrogVix [38]

Answer:

\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}

Step-by-step explanation:

The equation of a line:

y=mx+b

We have

m=\dfrac{2}{3}

substitute:

y=\dfrac{2}{3}x+b

The formula of a distance between a point and a line:

General form of a line:

Ax+By+C=0

Point:

(x_0,\ y_0)

Distance:

d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}

Convert the equation:

y=\dfrac{2}{3}x+b     |<em>subtract y from both sides</em>

\dfrac{2}{3}x-y+b=0    |<em>multiply both sides by 3</em>

2x-3y+3b=0\to A=2,\ B=-3,\ C=3b

Coordinates of the point:

(0,\ 0)\to x_0=0,\ y_0=0

substitute:

d=4

4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}

4=\dfrac{|3b|}{\sqrt{13}}\qquad|    |<em>multiply both sides by \sqrt{13}</em>

4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}   |<em>divide both  sides by 3</em>

b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}

Finally:

y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}

4 0
2 years ago
Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax
Akimi4 [234]

Answer: Abigail can make about 16 candles because 0.4 of a candle would not make an entire candle.

Step-by-step explanation:

For the Wax, it’s

V=Bh

V= l*w*h

= 15 cm * 11cm * 18 cm

= 2,970 cm^3

For the Mold, it’s

V=Bh

= r^2h

= * (3.1 cm)^2 * 6

= about 181 cm^3

Then you divide to find out how many candles you can make.

2,970 cm^3/181= 16.4

Hope this helps!

7 0
2 years ago
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