Maria’s book collection contains 8 biographies, 6 mysteries, 3 adventures, and 7 science fictions. What is the ratio of biographies and mysteries to the total number of books in Maria’s collections? Simplify the ratio.

Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

Answer:

[tex]s = 76[/tex]

Step-by-step explanation:

Given

[tex]TU=s[/tex]

[tex]VX = s -38[/tex]

See attachment for triangle

Required

Solve for s

From the triangle, we have:

[tex]\triangle UTW[/tex] similar to [tex]\triangle XVW[/tex]

Such that

[tex]TW = 2 XW[/tex]

[tex]UW = 2 VW[/tex]

This implies that:

[tex]TU = 2 VX[/tex]

Substitute: [tex]TU=s[/tex]  and [tex]VX = s -38[/tex]

[tex]s = 2 * [s - 38][/tex]

[tex]s = 2 s - 76[/tex]

Collect like terms

[tex]s - 2 s =- 76[/tex]

[tex]-s =- 76[/tex]

Divide by -1

[tex]s = 76[/tex]

Answer:

Use this formula

[tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

Answer will be option A

Process:

V= [tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

   = 4/3 *[tex]\pi }[/tex]*[tex]8^{3}[/tex]

   =[tex]\frac{2048\pi }{3}[/tex]

   =2144.66[tex]m^{3}[/tex]

The required value of x is 4.

Answer:

D

Step-by-step explanation:

If she recalculated and included the sixth test score of 82. The average of Aubrie's six biology tests will be 87.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, the average of the five test scores is 88.

If he included the sixth test score of 82. We have to find the average of Aubrie's six biology tests.

The average for the five scores,

(x₁+x₂+x₃+x₄+x₅)/5 =  88

x₁+x₂+x₃+x₄+x₅ = 88 × 5

x₁+x₂+x₃+x₄+x₅ = 440

Suppose the average of Aubrie's six biology tests be x,

(x₁+x₂+x₃+x₄+x₅+x₆)/6=x

Substitute the value in the given condition,

(440+82)/6=x

87 = x

Thus, if she recalculated and included the sixth test score of 82. The average of Aubrie's six biology tests will be 87.

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Answer:

A boat travels a certain distance upstream in 5 hours and the same distance downstream in 3 hours. If the speed of the boat is 18 mph, what is the speed of the current (in mph)?

Step-by-step explanation:

Answer:

14. 9²

15. 10²

Step-by-step explanation:

----------------------

Answer:

63

Step-by-step explanation:

The formula to when given the number of standard deviations below the mean x =μ - nσ

Where:

x = raw score

μ is the population mean = 75

σ is the population standard deviation = 8.

n = number of standard deviations below the mean

Hence

x = 75 - 1.5 × 8

x = 75 - 12

x = 63

Therefore, Andrey's exam score is 63

Answer:

a=π9² is the formula with the radius plugged in

radius is half

Answer:

243in^2

Step-by-step explanation:

18/2=9

3 x 9 x 9=243

Answer:

62 i believe

Step-by-step explanation:

radius r = 10 in

diameter d = 20 in

circumference C = 62.8318531 in

area A = 314.159265 in2

Answer:

A.  50

Step-by-step explanation:

< A and < D  are both subtended on the circumference by the chord  CB.

The measure of angle d is [tex]50^{0}[/tex].

An angle at the circumference of a circle is half the angle at the center standing on the same arc.

Two angles at the circumference standing on the same arc are equal.

According to the given figure

Circumferential angles are ∠CDB and ∠CAB.

And we have to find the measue of angle d i.e. ∠CDB.

Since, the angles of circumference corresponding the same arc are equal.

Here, ∠CAB and ∠CDB are the circumferential angles corresponding to arc.

Therefore,

m ∠CDB = ∠CAB = [tex]50^{0}[/tex]

⇒ d = m ∠CDB = [tex]50^{0}[/tex].

Hence, the measure of angle d is [tex]50^{0}[/tex].

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Answer:

It's...not though....

Answer:

(Xm, Ym) = [ x1+x2/2, y1 + y2/2]

Given (6,3) (-3,-7)

x1 y1 x2 y2

Step-by-step explanation:

(Xm,Ym) =[ 6-3/2, 3-7/4]

= [ 3/2, -1]

Answer 25

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The average of [tex]x[/tex] values with is equal to the sum of all of those values divided by [tex]x[/tex].

Therefore, we have the following equation:

[tex]\frac{28+43+a}{3}=37,\\28+43+a=37\cdot 3,\\28+43+a=111,\\a=111-43-28=\boxed{40}[/tex]

Answer:

the interest received is $957.03

Step-by-step explanation:

Given that

The invested amount is $10,000

There is 18 months

And, the interest rate is 6.25%

= (($10,000 × (1 + 6.25% ) × 0.0625  × 6 months ÷ 12 months)) + ($10,000 × 6.25%)

= $332.03 + $625

= $957.03

Hence, the interest received is $957.03

Answer:

240

Step-by-step explanation:

Its kinda hard because I dont know the shape of which is width or height or legnth

Answer:

the probability the octahedron will land on A is 3/8

the probability the octahedron will land on B is 1/8

the probability the octahedron will land on C is 4/8 or 1/2

Step by Step explanation:

All u have to do to figure this out is to first count the total amount of letters and in this case there are 8. To find the probability of a specific letter, you have to count how many of that letter there is in the total of 8. For example the letter A's probability is 3/8 since there are 3 A's and 8 letters in total.

hope this helps!!

Answer:

n=1/6

Add the numbers

1

−

4

+

1

6

−

6

4

=

9

{\color{#c92786}{1}}{\color{#c92786}{-4}}+{\color{#c92786}{16}}-64n=9

1−4+16−64n=9

1

3

−

6

4

=

9

{\color{#c92786}{13}}-64n=9

13−64n=9

2

Rearrange terms

1

3

−

6

4

=

9

{\color{#c92786}{13-64n}}=9

13−64n=9

−

6

4

+

1

3

=

9

{\color{#c92786}{-64n+13}}=9

−64n+13=9

3

Subtract  

1

3

13

13

from both sides of the equation

−

6

4

+

1

3

=

9

-64n+13=9

−64n+13=9

−

6

4

+

1

3

−

1

3

=

9

−

1

3

-64n+13{\color{#c92786}{-13}}=9{\color{#c92786}{-13}}

−64n+13−13=9−13

4

Simplify

Subtract the numbers

Subtract the numbers

−

6

4

=

−

4

-64n=-4

−64n=−4

5

Divide both sides of the equation by the same term

−

6

4

=

−

4

-64n=-4

−64n=−4

−

6

4

−

6

4

=

−

4

−

6

4

\frac{-64n}{{\color{#c92786}{-64}}}=\frac{-4}{{\color{#c92786}{-64}}}

−64−64n​=−64−4​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

1

6

Answer:

4x + 31 = 154

9x + 31 = 154

Step-by-step explanation:

$154 total

31 candles

4x + 31 = 154 <-- this is to find out how many small candles can be bought

9x + 31 = 154 <-- this is to find out how many large candles can be bought

I'm pretty sure these equations work! :)

After that its just simple math!! :)

Answer: [tex]\dfrac{16}{9}\ s[/tex]

Step-by-step explanation:

Given

[tex]s(t)=-t^3+2t^2+\frac{3}{2}[/tex]

Average velocity is given by

[tex]v_{avg}=\dfrac{\int vdt}{\int dt}[/tex]

[tex]v_{avg}=\dfrac{-\frac{t^4}{4}+\frac{2}{3}t^3+1.5t}{t}\\\\v_{avg}=-\frac{t^3}{4}+\frac{2}{3}t^2+1.5[/tex]

Now, equate the average and instantaneous velocity

[tex]-\frac{t^3}{4}+\frac{2}{3}t^2+1.5=-t^3+2t^2+1.5\\\\\Rightarrow -\dfrac{3t^3}{4}+\dfrac{4t^2}{3}=0\\\\\Rightarrow t^2\left(-\dfrac{3}{4}t+\dfrac{4}{3}\right)=0\\\\\Rightarrow t=\dfrac{16}{9}\ s[/tex]

Answer:

C.

Step-by-step explanation:

Lateral Area formula: ph (perimeter x height)

Answer:

C.

Step-by-step explanation:

Answer:

8m

Hope this answers the question. Have a nice day.

Answer:

7+27i

Step-by-step explanation:

(18+4i)+(-11+23i)

=18+4i-11+23i

=7+27i

Answer: 1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

3 red

5 blue

2 black

10 total

pick a red pen first: 3/10

pick a blue pen next: 5/9

3/10*5/9 = 15/90 or 1/6

Answer:

A. 90

Step-by-step explanation:

It says the scale is 1:6, so we can multiply 15 square cm to, 15 x 6 = 90 square cm!

Hope this Helps! :)

Answer:

A. 90 square cm

Step-by-step explanation:

The scale factor is 1:6

So the scale drawing on the left is the 1.

The object on the right is 6.

The area of the scale drawing is 15 square cm. If we multiply that by 6, we get answer A. 90 square cm.

Answer:

3.2 x 10^13

Step-by-step explanation:

(8x10^4)(4x10^8)

reorder the terms using the commutative property

(8x4)x(10^4x10^8)

multiply

32x (10^4 x 10^8)

= 32 x 10^4+8

= 32 x 10^12

now convert to scientific notation

=3.2 x 10^13