& represents 29 students in a class
B represents students who have a brother
S represents students who have a sister
В.
S
7
4
2x
x + 3
7+4+2x+x+3=29
a) One student from the class is chosen at random.
What is the probability that the student has a sister? 14+3x=29
3x=15
X=5
29-8=21​

Answer:

The equation to express this situation is y = 15x + 50.

Step-by-step explanation:

Initially, the temperature of a pot of water is 50⁰, i.e. at after x = 0 minutes the temperature was, y = 50⁰.

And the temperature rises 15⁰ per minute.

So, after x₁ = 5 minutes, the temperature was, y₁ = 125⁰.

And similarly after x₂ = 10 minutes, the temperature was, y₂ = 200⁰.

Compute the equation to express this situation as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x-x_{1})\\\\(y-125)=\frac{200-125}{10-5}\times (x-5)\\\\y-125=15x-75\\\\y=15x-50[/tex]

Thus, the equation to express this situation is y = 15x + 50.

Answer:

x = 13

arc RQ = 160°

Step-by-step explanation:

The length of smaller arc RQ is twice of the inscribed angle it sees

(5x + 15) × 2 = 10x + 30

9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms

25x + 35 = 360

25x = 360 - 35

25x = 325 divide both sides by 25

x = 13 now the measure of arc RQ

10x + 30 ➡ 10 × 13 + 30 = 160°

Incomplete question.  

Answer:

(1,-2)

Step-by-step explanation:

Answer:

where is the diagram dude

i think u wolud be having a digram of it

Answer:

B. ($25n)

Step-by-step explanation:

Due to it being n shirts, the price is $25 plus itself n times.

Hence, the price is $25n.

Hope this helped!

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

Answer:

26 dollars per ticket

Step-by-step explanation:

156/6=26

26x6=156

Answer:

24x^3-30x^2+36x

Step-by-step explanation:

you distribute.

(2x+3)(4x^2-5x+6)

distribute the 2x first

3(4x^2*2x-5x*2x+6*2x)

then simplify

3(8x^3-10x^2+12x)

then distribute again (I'm distributing and multiplying it out in this step)

24x^3-30x^2+36x

Answer:

The common factors for  24 , 48 , 480 are

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

The GCF (HCF) of the numerical factors 1,2,3,4,6,8,12,24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Prime factorization.

24= 2*2*2*3

48= 2*2*2*2*3

480= 2*3*2*5*2*2*2

The numbers that appear the most often for all 3 numbers is: 2, 3, 4. I got 4 because of 2*2.

Multiply 2*3*4 which equals 24. The GCF of 24, 48, and 480 is 24.

Answer:

x=39

Step-by-step explanation:

It is a four sided thing so the sum of all angles is 360

hence

2x + 3x - 15 + 2x + 2x + 24 = 360

and

x will be 39

Answer:

C. 40

Step-by-step explanation:

Start with multiplying the 120 students who took the computing and networking courses with 1160 hours. 120 times 1160 = 139200

That means that 139200 hours of the 164800 hours are by the students who took computing and networking classes, so now we have to subtract.

164800 - 139200 = 25600

Now divide 25600 with 640, because 25600 is the hours for the business course. 25600/640 = 40

So there's 40 students

Answer:

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

Answer:

100 is the distance between that rest stop and the next 65 is the speed in which the car is traveling

Answer:

the answer is B

Step-by-step explanation:

We can visualize in this picture that there's  angles that are facing each other and 2 sides one tops and one on the side.

Answer:

Hi.

No Patrick, mayonnaise is not an instrument. Horseradish isn't either.

Step-by-step explanation:

2 + 2 = 4.

When you do 2 of something and add another 2 of something, you get 4 somethings.

I hope this helps!

Answer:

the schedule and the algebraic expression

Answer:

17

Step-by-step explanation:

Answer:

The largest third side would be 26 meters.

Option B is correct.

Step-by-step explanation:

We are given two sides of triangle 12 meters and 16 meters.

We need to find What is the largest the third side can be?

We know that the length of third side should be less than the sum of two sides of triangle

third side < length of first side + length of second side

third side < 12+16

third side < 28

So, the length of third side should be less than 28

We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.

So, the largest third side would be 26 meters.

Option B is correct.

Answer:

$180

Step-by-step explanation:

Simple interest formula:

I = R x T x P divided by 100

=(900 x 2 x 10) / 100

=18000 / 100 = 180

=$180

Answer:

the answer is 2/3

Step-by-step explanation:

(2/11)/(3/11)=2/3

Answer:

Exact Form:

2 /3

Decimal Form:

0. 6 repeating

Step-by-step explanation:

Answer:

Idrk because you need to tell me the Hours

Step-by-step explanation:

Sorry :c But if you tell me more I m sure I could help :D

Answer:

Step-by-step explanation:

The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .

Answer:I think it’s 3.25(3)+6c=$21.75, I’m not sure

Step-by-step explanation:

Answer:

13 miles

Step-by-step explanation:

It tells us that her house is 5 miles from the Post Office. So we know that each unit on the grid is 1 mile. Lucy walks from her house to the post office to the bank. The shortest path is the hypotenuse of the right triangle. We have one side length. Now, we count the post office to bank's length. It is 12 miles. The Pythagorean theroem is a^2+b^2=c^2 so 5^2+12^2=c^2 Solving this, we get c=13. The shortest path is 13 miles.

Answer:

(5, 7)

Step-by-step explanation:

before the translation, A is (2, 5)

by adding 3 to A and 2 to y, we get (5, 7)

Answer:

=51

Step-by-step explanation:

10w - 7x

10(10) - 7(7)

100 - 49

=51