Solve the following system of equations using elimination.

X + 2y = 5
3x + 5y = 14

Using proportions, it is found that 420 students in the school would be expected to say their favorite class is Reading or Math.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 90 students, 20 + 40 = 60 students prefer reading or math. How many do out of 630? Thus, the rule of three is given by:

60 prefer reading of math - 90 students.

n prefer reading of math - 630 students.

Applying cross multiplication:

90n = 630 x 60

n = 630 x 60/90

n = 7 x 60

n = 420

420 students in the school would be expected to say their favorite class is Reading or Math.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

35 seconds

Step-by-step explanation:

Subtract 42 from 7

then you'll 35 secs

Answer:

Step-by-step explanation:

The mode is the most repeated data in the set.

According to the graph, the most repeated number is 3. There are four of 3's, three 2's and 4's and two 2's.

The mode is 3.

Answer:I DID IT FROM OFF OF k12 and it was right its 3

Step-by-step explanation:

[tex]\text{L.H.S}\\\\=\dfrac{1}{\sin^2 A} - \dfrac1{\tan^2 A}\\\\\\=\dfrac{1}{\sin^2 A}- \dfrac{1}{\tfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{1}{\sin^2 A} - \dfrac{\cos^2 A}{\sin^2 A}\\\\\\=\dfrac{1 - \cos^2 A}{\sin^2 A}\\\\\\=\dfrac{\sin^2 A}{\sin^2 A}\\\\\\=1\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Step-by-step explanation:

cos(x) = 5/13

the relation is

sin²(x) + cos²(x) = 1

so,

sin²(x) + (5/13)² = 1

sin²(x) + 25/169 = 169/169

sin²(x) = 144/169

sin(x) = 12/13

good luck !

We use the BODMAS method to solve the given questions.

Solve the Bracket then Divide Multiply Add and Subtract

1. 32÷4×(16×1/2) - 2

= 32÷4 × ( 8 ) - 2

= 8 × 8 - 2 = 64 - 2 = 62

2. 20 ÷ (5×2/5) + 3

= 20 ÷ (2) + 3 = 20 ÷ 2 + 3

= 10 + 3 = 13

3. 1/2 ×(6×4) ÷ 3 + 2

= 1/2 × 24 ÷ 3 + 2

= 1/2 × 8 + 2

= 4 + 2 = 6

4. 2 (6÷2+8) - 4

= 2 (3+8) - 4

= 2 × 11 - 4

= 22 - 4

= 18

Answer:

135

Step-by-step explanation:

5/8=0.625

1-0.625=0.375

0.375 times 360=135

Answer: The difference between the weight of the cashews and yogurt raisins is 19 grams.

Step-by-step explanation:

205-186 = 19 grams

hope this helps!

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Answer:

x = 3 and y = 0

Step-by-step explanation:

To find the solution where you have two equations is called a System of Equations.

What you do is you notice there are two equations and the let both equations equal each other. We can do this because both equations start with a y. These "y" work like puzzles and you can connect the "x+3" and "2x + 6" together. Then solve for it. Here's what i mean,

y = x+3

y = 2x+6

Now connecting them,

x+3 = 2x+6

Subtract x from both sides

3 = x + 6

Subtract 6 from both sides,

x = -3

Now solve for y,

y = -3 + 3 = 0

So our solution is x = 3 and y = 0.

Answer:

  (x, y) = (-3, 0)

Step-by-step explanation:

Substitution or elimination work well for solving this system of equations.

__

Subtract the first equation from the second.

  (y) -(y) = (2x +6) -(x +3)

  0 = x +3

  -3 = x . . . . . . . subtract 3

  y = (-3) +3 = 0 . . . . use the first equation to find y

  (x, y) = (-3, 0)

__

Use the second equation to substitute for y in the first.

  2x +6 = x +3

  x = -3 . . . . . . . . . subtract x+6 from both sides

  y = (-3) +3 = 0 . . . . find y using the first equation

  (x, y) = (-3, 0)

__

A graphing calculator answers these quickly.

Answer:

Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]

Answer:

-9(1+x)

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

(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

Answer:

(-2,3)

Step-by-step explanation:

The point where two lines cross should be your answer!!!

(-2,3) is where the two lines meet/cross!!

That is the definition of a system on a graph!

-Where two lines meet/cross!!

Answer:

36*(5)^0.5

Step-by-step explanation:

distance on horizontal  36 feet

distance on vertical 78 feet

so distance between them = (36^2+78^2)^0.5 = 36*(5)^0.5

The two people are 66 feet apart from each other.

The 1st person travels 24 feet west, 18 feet south and 18 feet down.

The location of 1st person is (-24, -18, -18) , the negative sign is to convert all in same direction.

The 2nd person travels 12 feet east, 24 feet north and 12 feet up.

The location of 2nd person is (12, 24, 18)

The distance between  (-24, -18, -18) & (12, 24, 18 = [tex]\sqrt{(-24-12)^{2}+(-18-24)^{2}+(-18-18)^{2} }[/tex] feet

= [tex]\sqrt{(-36)^{2}+(-42)^{2}+(-36)^{2} }[/tex]) feet

= 66 feet

Learn more about direction problem here :

https://brainly.com/question/27256951

#SPJ2

Answer:

  C. One term has degree 3

Step-by-step explanation:

The quadratic formula is used to find the zeros of degree 2 polynomials. The coefficient of the linear term does not matter, and the coefficient of the x² term may be anything except 0.

If the degree of the polynomial is 3, the quadratic formula does not apply.

Answer:

5

Step-by-step explanation:

54÷8 x 4 ÷2 means that your answer would be 12

Answer:

The equation is 4 1/3(2/5+1)

Step-by-step explanation:

So, it's 4 1/3+1 11/15=

65/15+26/15=91/15

6 1/15

2/5x4 1/3

Which is 2/5 x 13/3

Which is 26/15

Which is 1 11/5

Prices given by

Mean:-

[tex]\\ \rm\Rrightarrow \dfrac{Sum\:of\:price}{Total\:prices}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{24600+19000+33000+15000+20000}{5}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{111600}{5}[/tex]

[tex]\\ \rm\Rrightarrow 22220\$[/tex]

mean price = $22320

mean is the average of a set of given numbers

set { $24,600, $19,000, $33,000, $15,000, $20,000 }

[tex]\sf m = \dfrac{\text{sum of the terms}}{\text{number of terms}}[/tex]

[tex]\hookrightarrow\sf mean = \dfrac{111600}{5}[/tex]

[tex]\sf \rightarrow mean = 22320[/tex]

The perimeter of this following pattern is

30.8496cm

Answer:

X = 20

Y = 10√3 or 17.32 or 17.3

Steps given below in the image,

I hope my answer helps you.

Answer:

x = 20

y = 17.32

Step-by-step explanation:

[tex]10 = x \cos 60 \degree \\ \\ \implies \: 10 = x \times \frac{1}{2} \\ \\ \implies \: 10 \times 2= x \\ \\ \implies \: \huge{ \boxed{x = 20}} \\ \\ y = 10 \tan \: 60 \degree \\ \\ \implies \: y = 10 \times \sqrt{3} \\ \\\implies \: y = 10 \times 1.732 \\ \\\implies \: \huge{ \boxed{ y = 17.32}}[/tex]

Answer:

its 10

Step-by-step explanation:

The reason its 10 is because it shows more 10 then any number

Answer:

4 times, 2/15, 4/30

Step-by-step explanation:

The predicted probability is 15/30.

So, 19/30-15/30 IS 4/30, or 2/15.

Answer:

2(3-√13) is the answer

Step-by-step explanation:

Given that,

x = \frac{3 - \sqrt{13} }{2}

or, \frac{1}{x} = \frac{2}{3 - \sqrt{13} } (Taking reciprocal on both sides)

We know that,

(a + b)² = a² + b² + 2ab

or, (x \ + \frac{1} {x})^{2} = {x}^{2} + \frac{1}{x {}^{2} } + 2

or, {x}^{2} + \frac{1}{x {}^{2} } = (x \ + \frac{1}{x })^{2} - 2

Now,

or, {x}+ \frac{1}{x } = \frac{3 - \sqrt{13} }{2} + \frac{2}{3 - \sqrt{13} }

or, (3 - \sqrt{13 {})^{2} } + 4

2(3-√13) is the answer

If you didn't understand the frac etc... then I'll attach the f ans file.

Answer:

p = 2a-22

a= p-20

these will help you find the actual value

Step-by-step explanation:

this is not for the actual value

pierre = p

alex = a

p = a+20

p-20 = a

p+22 = 2a

p = 2a-22

Answer:

I don't understand the instructions, but I'll answer the question in the picture.

The angle next to 52 is vertical to y, so,  90-52=y.

Thus, y=38

Step-by-step explanation:

complementary angles sum up to 90

[tex]x + y = 90[/tex]

[tex]45 + 45 = 90[/tex]

[tex]x = 45 \\ y = 45[/tex]

Step-by-step explanation:

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC