Sam is 10 years younger than one-half the age of his aunt. Let a represent his aunt’s age. Which algebraic expression can be used to determine Sam’s age if his aunt is 40?

Answer:

-15

Step-by-step explanation:

because -5 + 20 = -15.

The coach needs 15 negative players to join the negative team in order to get 20 players (which would make the teams even)

Answer:

The size of the sample 'n' = 2401

Step-by-step explanation:

Step:1

Given that the margin of error = 2 % = 0.02

The margin of error is determined by

              [tex]M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]

we know that the proportion

               [tex]\sqrt{p(1-p)} < \frac{1}{2}[/tex]

Step:2

The margin of error is determined by

              [tex]0.02 = \frac{1.96( \frac{1}{2} ) }{\sqrt{n} }[/tex]

              [tex]\sqrt{n} = \frac{1.96}{2 X 0.02}[/tex]

              √n  = 49

Squaring on both sides, we get

                n = 49 × 49

                n = 2401

Final answer:-

The size of the sample 'n' = 2401

Answer:

132

Step-by-step explanation:

The angle with a measure of 48 degrees and the angle labeled "x" are supplementary angles. Supplementary angles add up to equal 180

This means that we can find the value of the missing angle by subtracting the measure of the known angle from 180

So x = 180 - 48

180 - 48 = 132

Hence, x = 132

Answer:

[tex] I = \pm \sqrt{\dfrac{P}{R}} [/tex]

Step-by-step explanation:

[tex] P = I^2R [/tex]

Divide both sides by R.

[tex] \dfrac{P}{R} = I^2 [/tex]

Switch sides.

[tex] I^2 = \dfrac{P}{R} [/tex]

Take the square root of both sides.

[tex] I = \pm \sqrt{\dfrac{P}{R}} [/tex]

Answer:

Mekala Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it.

Ratio of techno songs,to country songs,to jazz songs= 4: 2 : 3

Whatever be total  number of songs, let the number of techno songs, country songs,and jazz songs be  4 x,  2 x, and  3 x.

Total number of songs that Mekala plans to Listen = 2 70

Then , 4 x + 2 x + 3 x= 270

9 x = 270

Dividing both sides by 9, we get

x = 30

So, Number of techno songs = 4 × 30= 120

Number of techno songs = 2 × 30= 60

Number of jazz songs = 3 × 30= 90

Option (b) b) Close to 60 country songs but probably not exactly 60 country songs  ,is true option regarding number of songs listen by Mekala.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

The orange moves at 2M/s

5/2.5=2

2meters/secon

The average speed of the orange is 2 m/sec.

Given that, orange falls off a display at a store and rolls 5 meters in 2.5 seconds.

We need to find the average speed of the orange.

Average speed is the mean value of the speed of a body over a period of time. The formula for average speed is needed since the speed of a moving body is not constant and varies across a period of time. Even with varying speeds, the values of total time and the total distance covered can be used, and with the help of the formula for average speed, we can find a single value to represent the entire motion.

The formula for average speed is given as:

Average Speed = Total distance covered ÷ Total time taken

Now, average speed=5/2.5=2 m/sec.

Therefore, the average speed of the orange is 2 m/sec.

To learn more about the average speed visit:

https://brainly.com/question/17277454?referrer=searchResults

#SPJ2

Answer:

22

Step-by-step explanation:

They add up to 180. You have a 90 degree angle and a 68 degree angle.

Your equation is: 180-90-68=x

x=22

Answer:

The third one

Step-by-step explanation:

x-5y=6

x-5y+5y=6+5y

x=5y+6

Answer:

1) 42.51

2) 39.76

Answer:

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]

Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46

Answer:

yes

Step-by-step explanation:

Answer:

fixed

Step-by-step explanation:

Answer:

The measure of B would be 60 degrees

Step-by-step explanation:

add me as a friend if i am right

Answer:

i would say B

Step-by-step explanation:

Step-by-step explanation:

18+3=x+3

21=x+3

x=21-3

x=18

Answer:

i believe its the pounds lol

#2

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

32 = 2 × 2 × 2 × 2 × 2

8 = 2 × 2 × 2

18 = 2 × 3 × 3

12 = 2 × 2 × 3

LCM(32, 8, 18, 12)

= 2 × 2 × 2 × 2 × 2 × 3 × 3

= 288

Answer:

A. 3/2

Step-by-step explanation:

When two exponents have the same base, you can cancel the bases and set the exponents equal to each other

3x-2=x+1

3x=x+3

2x=3

x=3/2

Answer:

point B

Step-by-step explanation:

isolate the x to solve for x:

=> x = 1 - [tex]\frac{3}{4}[/tex]

=> x = [tex]\frac{1}{4}[/tex]

point B=> the half of [tex]\frac{1}{2}[/tex] is [tex]\frac{1}{4}[/tex]=> [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

here is your correct answer dude

Answer:

I Think B.

Step-by-step explanation:

Im Not But CARRY ON LEARNING

Answer:

I think its c

Step-by-step explanation:

there's 6 sides to a cube, and if one of the sides has nine, that means there's 5 sides left, so 5 out of 6 of those sides have a chance of being a new number other than 9

The probability is 5/11 as a fraction, about 45%, and/or 0.45 as a decimal.

Probability formula: Possible values/ Favorable values

Step 1: add the possible values: 4 + 2 + 1 + 5. This is equal to 12 possible options.

Step 2: Since Alica pulled out a red shirt, there will be 11 possible options (12-1 shirt = 11 possible options)

Step 3: Since we are expecting a blue shirt and there are 5 blue shirts, there is a 5/11 chance. Hope this helps!

Answer:

229

Step-by-step explanation:

All the angles of a 4 sided shape add up to 360 degrees.

So if you add 99 and 32 together, then subtract the answer from 360, you get 229.

Answer:probably x’s all of them

Step-by-step explanation:

Answer:

7 square yards

Step-by-step explanation:

Since you're doing IXL, you won't need to include an explanation, but if you want one, just tell me :).

Formula: [tex]\frac{a+b}{2}[/tex] × h

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Have a good day :)

Answer:

16.96hrs or 1017.6mins

Step-by-step explanation:

24 / 8 = 4.8

212 x 4.8 = 1017.6 mins

16.96 hours

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

let the number of

Total number of people : adults + children

Total money earned from adults :

Total money earned from children :

Therefore, total money = money earned from each Adult and children.

Now, let's plug the value of x from equation [1] into equation [2]

let's plug the value of y in equation [1]

Hence, we get :

Correct option is C

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]

Answer: 15

Step-by-step explanation: i don’t know

Answer:

15

Step-by-step explanation:

The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.

How to solve the fraction?

From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:

= 12/16

= 3/4

Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:

= 3/4 × 20

= 15

Answer:

14

Step-by-step explanation:

Find the mode by simply seeing which value appears the most. 14 appears twice whereas all the other numbers appear once.

Answer:

AB = 8.0

Step-by-step explanation:

Law of Sines

AB/sin53 = 7/sin44

multiply both sides by sin53

AB = 7/sin44 * sin53

use calculator

AB = 8.047766798861355

Rounded

AB = 8.0

Answer:

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]

Step-by-step explanation:

Given

[tex]\cos(\theta) = -\frac{2}{3}[/tex]

[tex]\theta \to[/tex] Quadrant III

Required

Determine [tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]

We have:

[tex]\cos(\theta) = -\frac{2}{3}[/tex]

We know that:

[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]

This gives:

[tex]\sin^2(\theta) + (-\frac{2}{3})^2 = 1[/tex]

[tex]\sin^2(\theta) + (\frac{4}{9}) = 1[/tex]

Collect like terms

[tex]\sin^2(\theta) = 1 - \frac{4}{9}[/tex]

Take LCM and solve

[tex]\sin^2(\theta) = \frac{9 -4}{9}[/tex]

[tex]\sin^2(\theta) = \frac{5}{9}[/tex]

Take the square roots of both sides

[tex]\sin(\theta) = \±\frac{\sqrt 5}{3}[/tex]

Sin is negative in quadrant III. So:

[tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]

Calculate [tex]\csc(\theta)[/tex]

[tex]\csc(\theta) = \frac{1}{\sin(\theta)}[/tex]

We have: [tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]

So:

[tex]\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}[/tex]

[tex]\csc(\theta) = \frac{-3}{\sqrt 5}[/tex]

Rationalize

[tex]\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}[/tex]

[tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]

So, we have:

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)[/tex]

Substitute: [tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}[/tex]

Take LCM

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]