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Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

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Answer:

The area of the base, B, equals  

✔ 21

cm2.

The volume of the prism is  

✔ 157 1/2

cm3.

Step-by-step explanation:

i took the test

The volume of prism for the given condition is 147 cm³.

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Here, Prism(Rectangle)

          Length(L) = 3.5 cm.

          Width(W) = 6 cm

         Height (H) = 7 cm

Volume = Area of Rectangle x Height

Volume of Prism: V = L x W x H

                             V = 3.5 X 6 X 7

                             V = 147 cm³

Thus, The volume of prism for the given condition is 147 cm³.

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Answer:

yes because 3 is in - and it is less than 0

Answer:

Yes

Step-by-step explanation:

-3x ≥ 12

Divide both sides by -3

When multiplying or dividing by a negative the inequality must be reversed

x ≤ -4

Answer:

4/5

Step-by-step explanation:

if it take 1/4 of an hour to mow 1/5 of his yard.

First you have to find out what is 1/4 of an hour which in order to find you have to multiply 1/4 by 60 because it has 60 mins in an hour. You now have 15 mins and we already know there are 60 mins so we divide 60 by 15 which give you 4 then you multiply 1/5 by 4 which gives you 4/5 or 0.8.

Answer:

I am pretty sure its 1.99

Step-by-step explanation:

12/10.99= ~1.09

24/25.99=~0.80

1.09+0.80=1.99

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

Answer:

Radius = 17.

Step-by-step explanation:

If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2

Comparing with the given eqn. of circle, we find, r2=289 Hence, radius  is 17

Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

Answer:

Step-by-step explanation:

Answer:

90 Minutes

Step-by-step explanation:

If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount

30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.

90 minutes

So 27 = 30%

30% + 30% + 30% = 90%

 27 +   27  +  27  = 81

30% ÷ 3 = 10%

27 ÷ 3 = 9

90% + 10% = 100%

81 + 9 = 90

Answer:

40

Step-by-step explanation:

52= 1/2(64 + x)

52 = 32 + 0.5x

52-32= 32-32 + .5x

20=.5x

Divide both sides by .5x

X = 40.

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer:

Jacob

Brennan

Adrienne

Valerie

Step-by-step explanation:

Positive and nonlinear follows the first one so that's Jacob's

clustering is in the fourth one so that's Valerie's

2 and 3 have an outlier so look at next one

negative and linear is the third one so that is Adrienne's and the second one is Brennan's

Answer:

3.5

Step-by-step explanation:

Answer:

[tex]\displaystyle r = 7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3} r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

V = 294π

h = 18

Step 2: Solve for r

Answer:

Step-by-step explanation:

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

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Answer:

Step-by-step explanation:

I am pretty sure the answer is b

Answer:

Step-by-step explanation:

take 53 degree as reference angle

using tan rule

tan 53=opposite/adjacent

1.32=BC/18

1.32*18=BC

23.76=BC

23.8=BC

It is the distributive property.

Answer:

A

Step-by-step explanation:

I=PRN

=4500×(4.75/100)×3

=$641.25