Mr. Newman owns a sporting good store. He got a shipment of 49 baseball bats. 21 of them were wooden bats, and the rest were aluminum. What fraction of the bats were wooden?
Fill in the answer in simplest form.

Answer:

9.045 grams

Step-by-step explanation:

You add the 42.68+19.125=61.805

Then take 61.805- 52.76=9.045

The number of grams of mixture that the baker still has is 9.045 grams.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Given that,

A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl.

Total grams of flour and sugar = 42.68 + 19.125 = 61.805 grams

So,

Total weight of the mixture = 61.805 grams

The baker then uses 52.76 grams of the mixture in a cake.

Remaining grams of the mixture = 61.805 grams - 52.76 grams

                                                      = 9.045 grams

Hence the remaining mixture is 9.045 grams.

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Answer:

The answer is C because the largest mode is the longest set with the biggest numbers

Step-by-step explanation:

Answer:

AB = 5

Step-by-step explanation:

The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be  √3  times as long, and the side opposite the 90 degree angle will be twice as long.

In this case we just divide 10 by 2

Answer:

5 cm

Step-by-step explanation:

Sin 30° = opposite / hypothenus

= AB / 10cm

AB = sin 30° × 10 cm

= 5 cm

Answer: the answer is r=7.5%

Step-by-step explanation:

You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown

Now you plug in what you know:

5750=5000(1+2r)

Divide 5000 on both sides

Decimal form: 1.15=1+2r

Subtract -1 on both sides

0.15=2r

And lastly divide by 2 on both sides

0.075=r

BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE

r=0.075*100=7.5%

Answer:

24 seconds

Step-by-step explanation:

3*24=72

24*2=48

48+24=72

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.

Answer:

exposed is another word for endangered

Answer:

360 mi^3

Step-by-step explanation:

The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values

solid  1

length = 11 - 4 = 7 mi

base area = length x width = 7 x 4 = 28 mi^2

V = base area x height = 28 x 6 = 168 mi^3

solid 2

base area = 8 x 4 = 32 mi^2

V = 32 x 6 = 192 mi^3

total volume: 168 + 192 = 360 mi^3

The volume of the figure is 360 mi³.

Volume of a three dimensional shape is the space occupied by the shape.

Given is a figure where two rectangular boxes are put on top of each other.

Volume of a rectangular prism = L × W × H

Here L is the length, W is the width and H is the height.

The dimensions of the rectangular prism are :

Larger one having L = 11 mi, W = 6 mi and H = 4 mi

Smaller one on top having L = 4 mi, W = 6 mi and H = 8 - 4 = 4 mi.

Volume of the figure = volume of larger box + Volume of smaller box

                                  = (11 × 6 × 4) + (4 × 6 × 4)

                                  = 264 + 96

                                  = 360 mi³

Hence the volume of the figure is 360 mi³.

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Answer:

The required interest rate would be of 3.4% a year.

Step-by-step explanation:

The amount of money earned in compound interest, after t years, is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial investment and r is the interest rate, as a decimal.

Peyton is going to invest $440 and leave it in an account for 5 years.

This means that [tex]P(0) = 440, t = 5[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 440(1+r)^5[/tex]

What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?

This is r for which P(t) = 520. So

[tex]P(t) = 440(1+r)^5[/tex]

[tex](1+r)^5 = \frac{520}{440}[/tex]

[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]

[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.034[/tex]

Then

[tex]r = 1.034 - 1 = 0.034[/tex]

The required interest rate would be of 3.4% a year.

Answer:

D) $5385.10

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year

This means that [tex]A(0) = 12500, r = 0.155[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 12500(1-0.155)^t[/tex]

[tex]A(t) = 12500(0.845)^t[/tex]

How much will it be worth in 2020?

2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So

[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]

The correct answer is given by option D.

Answer: 4/5 = .8

cos adj/hyp of r is .8

HOWEVER...

I’m assuming it’s talking about angle R...

Answer:

the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%

Step-by-step explanation:

9514 1404 393

Answer:

  R(p) = -3500p^2 +48000p . . . revenue function

  $6.86 . . . price for maximum revenue

Step-by-step explanation:

The 2-point form of the equation for a line can be used to find the attendance function.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (27000 -20000)/(6 -8)(x -8) +20000

  y = -3500(x -8) +20000

  y = 48000 -3500x . . . . y seats sold at price x

The per-game revenue is the product of price and quantity sold. In functional form, this is ...

  R(p) = p(48000-3500p)

  R(p) = -3500p^2 +48000p . . . per game revenue

__

Revenue is maximized when its derivative is zero.

  R'(p) = -7000p +48000

  p = 48/7 ≈ 6.86

A ticket price of $6.86 would maximize revenue.

Answer:

C.  80%

Step-by-step explanation:

Step-by-step explanation:

Volume of Cylinder =

[tex]\pi {r}^{2} h[/tex]

given r = 10 in

h = 30 in

Volume of Cylinder =

[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]

Please take note in this case choose the answer closest to the answer calculated.

Answer:

9,420 in^3

Step-by-step explanation:

V = π r^2 h

V = 3.14 · 10^2 · 30

V = 3.14 · 100 · 30

V = 3.14 · 3,000

V ≈ 9,420

Answer: C. 85

Step-by-step explanation: subtract 125 from 40

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The area of the semicircle is ...

  A = (1/2)πr²

  A = (1/2)(3.14)(4 m)² = 25.12 m²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(12 m)(8 m) = 48 m²

Then the total area of the composite figure is ...

  total area = semicircle area + triangle area

  = 25.12 m² + 48 m² = 73.12 m²

_____

Additional comment

The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.

You should talk to your teacher about this question. None of the offered choices is correct.

Answer:

[tex]\bar x =29.7[/tex]

[tex]\sigma = 6.81[/tex]

[tex]Median = 30.5[/tex]

Step-by-step explanation:

Given

[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]

[tex]n = 20[/tex]

Solving (a): The sample mean

This is calculated as:

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]

[tex]\bar x =\frac{594}{20}[/tex]

[tex]\bar x =29.7[/tex]

Solving (b): The standard deviation

This is calculated as;

[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]

[tex]\sigma = \sqrt{46.41}[/tex]

[tex]\sigma = 6.81[/tex]

Solving (c): The median

First, sort the data in ascending order

[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]

The position of the median is calculated as:

[tex]Median = \frac{n+1}{2}[/tex]

[tex]Median = \frac{20+1}{2}[/tex]

[tex]Median = \frac{21}{2}[/tex]

[tex]Median = 10.5th[/tex]

The 10.5th item represents the mean of the 10th and 11th item.

So, median is:

[tex]Median = \frac{30+31}{2}[/tex]

[tex]Median = \frac{61}{2}[/tex]

[tex]Median = 30.5[/tex]

Answer:

expanded form: 5 * 5 * 5

value: 125

Step-by-step explanation:

Answer:

10 1/18

Step-by-step explanation:

3 2/6 + 8 2/9 - 1 1/2 = ?

First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.

3 6/18 + 8 4/18 - 1 9/18 = ?

Now, we solve.

3 6/18 + 8 4/18 - 1 9/18 = 10 1/18

Answer:

13 + 3x = 34

Variables:

x = random number

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

Answer:

The answer is 16% I just took the test

Step-by-step explanation:

Answer:

A) Decreasing

Step-by-step explanation:

By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.

Answer:

decreasing

Step-by-step explanation:

Answer:

basically, with each value of x, you replace it by x on the equation

Step-by-step explanation:

y=1/3(12)

y=4

--------

y=1/3(3)

y=1

--------

y=1/3(18)

y=6

-------

hope this helped!

Answer:

the awnser is D) $41.25.

Answer:

4n

Step-by-step explanation:

you multiply 4 x n= 4n

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