A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50.


How much would it cost Lin to rent the community center for 3 hours?

another community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50.

Write an expression to represent this situation using for the number of hours.

Answer:

[tex]380 \text{ m}^2[/tex]

Step-by-step explanation:

To find the surface area of the trapezoidal pyramid, we can use the formula:

[tex]SA = 2(b) + (p \cdot d)[/tex],

where [tex]b[/tex] is the area of the base, [tex]p[/tex] is the perimeter of the base, and [tex]d[/tex] is the prism's depth.

First, we should find the area of the base using the area of a trapezoid formula.

[tex]A_\text{trap} = \dfrac{b_1 + b_2}{2} \cdot h[/tex]

[tex]b = \dfrac{15 + 5}{2} \cdot 7[/tex]

[tex]b = 10 \cdot 7[/tex]

[tex]b = 70 \text{ m}^2[/tex]

Now, we can plug the given dimensions along with the base area into the surface area formula.

[tex]SA = 2(b) + (p \cdot d)[/tex]

[tex]SA = 2(70) + ([15 + 10 + 5 + 10] \cdot 6)[/tex]

[tex]SA = 140 + (40 \cdot 6)[/tex]

[tex]SA = 140 + 240[/tex]

[tex]\boxed{SA = 380 \text{ m}^2}[/tex]

Answer:

40 in.²

Step-by-step explanation:

First, you have to find the area of the triangle, which you then multiply by 4 (because there are 4 triangles):

A=1/2(bh)

A=1/2(3x4)

A=1/2(12)

A=6

6x4=24 in.²

Next, you have to find the area of the square:

A=bh

A=4x4

A=16

Now, add 24 and 16 together to get your answer of 40 in.².

Time:      Distance:

2              6

6              18

8              24

15             45

the distance (output) is 3 times larger than the time (input) so you have to multiply and divide to find the missing numbers.

Answer:

2 6

6 18

8 24

15 45

Step-by-step explanation:

6 = 18

X = 6

cross multiply

6 × 6 ÷ 18

=2

2 = 6

X = 24

Cross multiply

2 × 24 ÷ 6

= 8

2 = 6

15 = x

Cross multiply

6 × 15 ÷ 2

=45

Answer: 60

Step-by-step explanation: all you have to do is add the sides and the two faces together, then add those results together. Boom. You have the answer.

Answer:To write the number 0.0000149 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.

First, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point, which gives us:

1.49 × 10^-5

Since we moved the decimal point 5 places to the right, the exponent of 10 is negative 5.

Therefore, the scientific notation of 0.0000149 is 1.49 × 10^-5.

Step-by-step explanation:

Answer:

1.49×10^-5

Step-by-step explanation:

0.0000149=1.49×10^-5

it's to the power of -5 because it's a decimal number not a whole number

Answer:

1/2

Step-by-step explanation:

If the fraction of the box of pancake mix that Merida uses on Friday is not given, it is difficult to determine the exact fraction that she used on Saturday. However, if we assume that the fraction of the box of pancake mix used on Friday is 1/2 (which is a common amount for a recipe that serves 4-6 people), then we can solve for the fraction used on Saturday.

On Friday, Merida used 1/2 of the box of pancake mix.

On Saturday, she used 1 times as much pancake mix as Friday, or 1/2 * 1 = 1/2 of the box of pancake mix.

Therefore, Merida used 1/2 of the box of pancake mix on Saturday.

Note that if the fraction used on Friday is different, the fraction used on Saturday will also be different.

Answer:

72 feet

Step-by-step explanation:

Because the circumference is 6 feet, with every complete rotation, the bike travels 6 feet. Therefore, the bike will travel 72 feet when the wheel makes 12 complete rotations.

Feel free to tell me if I did anything wrong! :)

Answer:

Step-by-step explanation:

A= 189.06cm2

Answer:

Step-by-step explanation:

189.06cm2

Answer:

[tex]5x^3-18x^2+2x+21[/tex]

Step-by-step explanation:

In the second step, -9x-21 should be 9x+21. This is because -3 in x-3, and -3x-7 in 5x²-3x-7 are both negative, so each term's product should be positive.

Also, in the third line, she wrote -3x²-15x² as -18x⁴ instead of -18x²,and similarly, she wrote -7x-9x as -16x² (however this is wrong anyway because step 2 was done incorrectly).

If we continued off from the second step with these corrected errors:

[tex]5x^3-3x^2-7x-15x^2+9x+21\\5x^3-18x^2+2x+21[/tex]

Therefore, the correct simplification is [tex]5x^3-18x^2+2x+21[/tex].

Answer:

5x^3-18^2 +2x +21

Step-by-step explanation:

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Step-by-step explanation:

SA=2B+Ph

Find the area of each face. Add up all areas.

Answer:

Step-by-step explanation:

probability you roll a one is 1/6

probability you roll an 8 is 0/6

add them and the answer is 1/6

Answer:

1/6x + 47

1 2/3x+35 -1 1/2x +12

5(1/3x)+(5)(7)-(3)(1/2x)+(3)(4)

Answer: Leilani has the probability of rolling two 5s three times on her next 30 moves.

Step-by-step explanation: If on average Leilani rolls once in 10, then we can predict that she will at least roll 3 in 30.

Step-by-step explanation:

Slope intercept form of a line is

y = mx + b      where    m = slope    b = intercept

1)   y = 2x + 4

3) y = -3/4 x  + 0   = - 3/4 x

I think you can see how to do the other two now......

Answer:

30.68 cm²

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of semicircle

Given,

Height (h) = 4.5 cm

Base (b) = 9 cm

Diameter (d) = 5 cm

Formula

Area of the rectangle = bh

Area of the rectangle

= 9 x 4.5

= 40.5 cm²

Formula

Radius (r) = d/2

r = 5/2

r = 2.5 cm

Formula

Area of the semicircle = πr²/2

Note

The value of π is 3.14

Area of the semicirlce

= (3.14 x 2.5²)/2

= (3.14 x 2.5 x 2.5)/2

= 19.625/2

= 9.8125 cm²

Area of the shaded region

= Area of rectangle - Area of semicircle

= 40.5 - 9.8125

= 30.6875 cm²

~ 30.68 cm² approximately

Answer:

3 1/3

Step-by-step explanation:

       See attachment below

Answer:

Option (A) 3 1/3

Step-by-step explanation:

Let’s solve the improper fraction into a mixed fraction.

The simplified fraction will get a remainder but we I’ll not solve the remainder.

50/15

Quotient = 3

Remainder = 5

Fraction = 3 5/15

               = 3 1/3

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

45

70

36

52

20

130

Step-by-step explanation:

complementary means it adds up to 90 degrees.

subtract that angle from 90 to get the complementary angle

supplementary angles add up to 180 degrees

subtract that angle from 180 to get the supplementary angle

Answer:

1) 45

2) 60

3) 36

4) 52

5) 20

6) 130

Step-by-step explanation:

In the first 3 questions, it's asking us for a complementary angle to the given angle.  A complementary angle is when 2 angles add up to 90 degrees.  So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45.  Continue to subtract from 90 for the next 2 problems.

In questions 4-6, we are asked to find an angle that is supplementary.  A supplementary angle is when 2 angles add up to 180 degrees.  We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees.  Continue subtracting from 180 for the next 2 problems.

Hope this helps! :)

Answer:

23. y intercept= -7 slope = 1/2

24. y-intercept = 4 slope = -1/3

Step-by-step explanation:

y=mx+b

y= slope x + y-intercept

Answer:

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

It is the middle point/dot

in the box with the line

Answer:100% of the buttons were large.

she got 400 buttons

400 were large

400/400 as a percent is 100%

Step-by-step explanation:

Explanation she got 400 buttons

400 were large

400/400 as a percent is 100%

Answer:

Step-by-step explanation: don't know

Answer:

  1/9

Step-by-step explanation:

You want the probability of rolling a sum of 5 when you roll two dice.

There are 4 outcomes that have a sum of 5 when rolling two dice:

  (1, 4), (2, 3), (3, 2), (4, 1)

There are 36 total possible outcomes, so the probability of rolling a 5 is ...

  P(5) = 4/36 = 1/9

The probability of rolling a sum of 5 is 1/9.

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Answer:

x = 10

The shaded angles are each 31 degrees.

Step-by-step explanation:

I don't know if you are being asked to solve for x or the shaded angle, so we'll solve for both.

Those 2 shaded angles are equal to each other. So set them equal to each other & solve for x.

91-6x = 4x-9

91+9 = 4x+6x

100 = 10x

10 = x

Now substitute x=10 to find the measure of the shaded angles (which are equal).

91-6x = 91-6(10) = 91-60=31

The shaded angles are both 31 degrees .

Answer:

Step-by-step explanation:

Hi there,

We know that a pair means two and so for each pair of socks he has, we are going to multiply that number by two to find the individual amount.

White socks: 2 pairs x 2 = 4 total white socks

Black socks: 4 pairs x 2 = 8 total black socks

Blue socks: 1 pair x 2 = 2 total blue socks.

Now, you add up the total amount of individual socks in the drawer.

4+8+2 = 14 socks.

We are trying the find the probability that he is going to pick a black sock.  The amount of black socks is going to go on the numerator of the fraction and the total amount of socks in the drawer is going to go on the denominator.

8 black socks  /  14 total socks

Now that we have this fraction, we need to simplify it.  The number 8 and 14 are both divisible by 2, so we now have the fraction (4/7).

What this means is that, theoretically, if he randomly pulled out 7 socks, that 4 of the socks he pulls out should be black, leaving the probability he picks out black socks to be (4/7) of the time or about 57% likely to happen.

I hope this helps, let me know if you have questions :)