The Staten Island Skating Pavilion charges a $5 entrance fee and an hourly rate for for ice skating. The total cost for ice skating depends on the number of hours a person skates. The table below represents the total cost of skating for different number of hours. Which equation represents the relationship between the cost, c, and the number of hours, h?

Answer:

5hours - 3hours = 2hours

Answer:

Option B and D

Step-by-step explanation:

Multiply 80 by 1/10

Divide 80 by 10

Answer: 80/10

E Correct

F Correct

Step-by-step explanation: Divide 80/10

Answer:

D and E

Step-by-step explanation:

Answer:

No, that would cost more than $180.

Step-by-step explanation:

6(10)+60(3)≤$180

60+180 = $240

$240≤$180

Hope this helps!

Answer:

43

Step-by-step explanation:

Use the mean formula:

mean = (sum of elements) / (number of elements)

Let x represent the fourth number, and solve for x:

mean = (sum of elements) / (number of elements)

40 = (35 + 41 + 41 + x) / 4

40 = (117 + x) / 4

160 = 117 + x

43 = x

So, the fourth number is 43

Answer:

43

Step-by-step explanation:

Answer:

I beleave that it is 12 because it look like for every 1 unit to the right it goes up 12.

Answer:

Hello! answer: volume = 216

Step-by-step explanation:

Volume for rectangular prisms are found by doing length × width × height so... 6 × 4 × 9 = 216 therefore the volume is 216 hope that helps!

Answer:

6 ÷ 2(1+2)

From

PEMDAS

We deal with Parenthesis first, Then Multiplication before division.

6÷ 2(3)

6÷6

6/6 = 1.

Answer:

1

Step-by-step explanation:

= 6 ÷ 2(3)

= 6 ÷ 2 of 3

= 6 ÷ 6 (∵ Using BODMAS rule)

= 1

Answer:10

Step-by-step explanation: If you see that the vocabulary questions is 20 percent of the total number of questions which is 50, then you multiply 20/100 with 50 which is 1/5 of 50 which is 10 questions. Hope this helps

Answer:

24.27 cm

Step-by-step explanation:

sin 65 degrees = 22/x, so:

      1                   x

------------------ = ------

 sin 65 deg       22

so x = 22 / (sin 65 deg) = 22/0.906 = 24.27 cm

Answer:

13 / 25 were boys

14 / 25 were girls

Step-by-step explanation:

Of the girls 10 said no and 4 said yes

10 + 4 = 14 so she asked a total of 14 girls

Of the boys 8 said yes and 5 said no

8 + 5 = 13 so she asked a total of 13 boys

she asked 14 girls and 13 boys

14 + 13 = 25 so she asked a total of 25 people

Out of the 25 people she asked 13 of them were boys

So 13 out of 25 people we boys

or 13 / 25

which means 14 out of 25 were girls

or 14 / 25

=>(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(15)^2+(8)^2

=>(h)^2=289

=>h=√289

=>h=17 yd

Hope it helps you

225+64=289 is your answer

Answer:

9765625

Step-by-step explanation:

[tex] {5}^{5} \times {5}^{5} = 9765625[/tex]

Answer:

[tex]{5}^{7} [/tex]

Step-by-step explanation:

[tex] {5}^{5 + 2} [/tex]

=

[tex] {5}^{7} [/tex]

Answer:

57.12 cm²

Step-by-step explanation:

area = (9.28 + 5) × 8/2

= 14.28 × 4 = 57.12 cm²

Answer:

You will need 411 inches

Step-by-step explanation:

To solve this problem you have to find the surface area.

First, multiply.

7 × 13 = 91

16 × 7 = 112

16 × 13 = 208

Then add.

91 + 112 + 208 = 411

You will need 411 inches of wrapping paper to cover the box.

Have a great day!

Answer:

3rd option

Step-by-step explanation:

Given

[tex]\frac{x^2-10x+21}{x^2+x-12}[/tex] ← factor numerator and denominator

= [tex]\frac{(x-7)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator / denominator

= [tex]\frac{x-7}{x+4}[/tex]

Step-by-step explanation:

c is the correct answer of this question.

Answer: 12 boys attend Millwood School.

Step-by-step explanation:

Yeah. It just makes sense. I am bad at explaining. Sorry!

The ratio shows how many times one value is contained in another value.

The ratio of boys to girls at the Milwood School is 4 to 5.

The number of girls that attended the Milwood school is 15.

The number of boys that attended the Milwood school is 12.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of boys to girls at the Milwood School is 4 to 5.

Total number of children = 27

Let the number of boys = 4x

Let the number of girls = 5x

Now,

4x + 5x = 27

9x = 27

x = 3

Now,

The number of boys = 4x = 4 x 3 = 12

The number of girls = 5x = 5 x 3 = 15

Thus,

The number of boys that attended the Milwood school is 12.

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Answer:

Step-by-step explanation:

the area of the rectangle is a difference of two squares

so it can be expressed

(x^2-3y)(x^2+3y)

Answer:

(x^2-3y)(x^2+3y) if you multiply them all together you get the final answer of x^4-9y^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]c^{2} = a^{2} + b^{2} \\20^{2} = 8^{2} + b^{2}[/tex]

B=[tex]4\sqrt{21}[/tex]

This makes b = 18.3

Now you can find the angle B = arcsin (opp/hyp)

B=arcsin [tex]\frac{4\sqrt{21} }{20}[/tex]

B= 66.42

Answer:

22°

Step-by-step explanation:

Okay, to first find the missing side, you need to use a² +b² = c²

getting 21.54 for the hypotenuse. From there, you're going to divide the leg (8) that's opposite of the angle you're trying to find and divide it by the hypotenuse (21.54). Then on you're caluclator you should have a button that says "Sin-1". You're going to use that and plug in the answer you got from 8/21.54. This'll give you your answer!

Answer:

10

Step-by-step explanation:

bh/2

b=5

h=4

=5×4/2

=20/2

=10

Answer:

See explanation for answer.

Step-by-step explanation:

I'm not sure if this correct but I think the answer is the second one.

I hope this helps!

Have a lovely day!

[tex]\bold{\blue{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=\dfrac{9}{4}}  }[/tex] 

[tex]\bold{\pink{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=[\dfrac{4}{9}]^{-1} }}[/tex] 

[tex]\bold{\green{\dfrac{2^{x}(1+11^{x}+111^{x})}{3^{x}(1+11^{x}+111^{x})}=((\dfrac{2}{3})^{{{2}}})^{{{-1}}}   }}[/tex] 

[tex]\bold{\orange{\dfrac{2^{x}\cancel{(1+11^{x}+111^{x})}}{3^{x}\cancel{(1+11^{x}+111^{x})}}=(\dfrac{2}{3})^{-2}   }}[/tex] 

[tex]\bold{\purple{\dfrac{2^{x}}{3^{x}}=(\dfrac{2}{3})^{-2}   }}[/tex] 

[tex]\bold{\red{(\dfrac{2}{3})^{x} =(\dfrac{2}{3})^{-2}   }}[/tex] 

[tex]\bold{\green{ x=-2 } }[/tex]

Answer:

Step-by-step explanation:

simplify upper n lower fraction of LHS:

2^x+22^x+222^x

= 2^x*1 + (2*11)^x + (2*111)^x

= 2^x*1 + 2^x*11^x + 2^x*111^x

= 2^x*(1+11^x+111^x)

3^x+33^x+333^x

= 3^x*1 + (3*11)^x + (3*111)^x

= 3^x*1 + 3^x*11^x + 3^x*111^x

= 3^x*(1+11^x+111^x)

so LHS

= 2^x*(1+11^x+111^x) / (3^x*(1+11^x+111^x))

= 2^x / 3^x

= (2/3)^x

RHS = 9/4

= (3^2/ 2^2)

= (3/2)^2

= (2/3)^(-2)

so x = -2

Answer:

226.19 [tex]cm^{3}[/tex]

Step-by-step explanation:

Vol. of cone = Bh/3   where B is the area of the base(circle) and h is the height of the cone.

r = 3   h = 3

V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π

Vol. of the cylinder = Bh   where B is the base(circle) and h is the height of the cylinder.

r = 3   h = 10 - 3 = 7

V = [tex]\pi *3^{2} * 7[/tex] = 63π

Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19

Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,

Volume = Volume of cone + Volume of slant cylinder

             = [(1/3)πr²h] + [πr²H]

             = [(1/3)×π×(3)²×3] + [π×(3)²×7]

             = 28.274 cm³ + 197.920 cm³

             = 226.194 cm³

Hence, the volume of the composite figure will be 226.194cm³.

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Answer:

The answer is in the picture.

Answer:

534561.63

Explanation:

used calculator lolololololol

Answer:

34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.

Answer: (3x-5)(x+3)(x-3)

Step-by-step explanation:

25 = a1(1- (0.6)⁴)/(1-0.6)

25 = a1 (1- 0.13)/(0.4)

10 = a1(0.87)

a1 = 11.49

S8 = 11.49(1- (0.6)^8)/(1-0.6)

= 11.49(1-0.017)(1-0.6)

= 11.49(0.983)/0.4

= 28.24

The sum of the first eight terms of the given geometric series is; 28.24

We are told that the sum of the first four terms of the geometric series is 25. Thus, formula for sum of n terms of a geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

where;

a is first term

r is common ratio

Thus;

25 = a(1 - (0.6)⁴)/(1 - 0.6)

25 = a(1 - 0.13)/(0.4)

10 = 0.87a

a = 11.49

Thus, sum of the first 8 terms of the series is;

S₈ = 11.49(1 - 0.6⁸)/(1 - 0.6)

S₈ = 11.49(1 - 0.017)(1 - 0.6)

S₈ = 28.24

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Given:

The quadratic equation is:

[tex]x^2+x-30=0[/tex]

To find:

The solutions of the given equation.

Solution:

We have,

[tex]x^2+x-30=0[/tex]

Splitting the middle term, we get

[tex]x^2+6x-5x-30=0[/tex]

[tex]x(x+6)-5(x+6)=0[/tex]

[tex](x+6)(x-5)=0[/tex]

Using zero product property, we get

[tex]x+6=0[/tex] and [tex]x-5=0[/tex]

[tex]x=-6[/tex] and [tex]x=5[/tex]

Therefore, the solutions of the given quadratic equation are -6 and 5.