5/12 of the pupils in yr9 say their favourite colour is red. There are 180 pupils in yr9. How many students said red is their favourite colour?

Answer: x ≤ 10

Step-by-step explanation:

20 + 13x ≤ 150

13x ≤ 150 - 20

13x ≤ 130

x ≤ 130 ÷ 13

x ≤ 10

Answer:

The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method

Answer:

y>10

Step-by-step explanation:

5y+12>62

Subtract 12 on both sides

5y > 50

Divide 5 on both sides

y  > 10

Answer:

y>10

Step-by-step explanation:

First, let's subtract 12 from both sides:

5y+12-12>62-12

Then let's simplify:

5y>50

Now let's divide both sides by 5:

5y/5>50/5

And then simplify to get our answer y>10

Hope this helped

Answer:

15

Step-by-step explanation:

step 1: 25+5=30

step 2: 30-8=22

step 3:22-7=15

Answer:

3 & 4

Step-by-step explanation:

Because 3 = 8.396 which is greater than 8.274 also the same with 4 which is 8.295

Answer:

The answer is −42

Answer:

Step-by-step explanation:

The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.

  height² + base² = diagonal²

  height² +24² = 26²

  height² = 676 -576 = 100

  height = √100 = 10

__

The area is the product of the base and height.

  A = bh

  A = (24)(10) = 240

The height is 10 units; the area is 240 square units.

Answer:

it depend on the question but if it is asking if they have the same answer then it is true

Step-by-step explanation:

Answer: false

Step-by-step explanation: 4+5=9 5+4=-9

The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]

And the accurate root is 3 it can be determined by using rules of the rational root equation.

Function; [tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]

Which of the values shown are potential roots of the given equation?

Potential roots of the polynomial are all possible roots of f(x).

[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

[tex]\rm p=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 45}[/tex]

[tex]\rm q=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 3}[/tex]

The factor of the term 45 are,

[tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45[/tex]

And The factor of 3 are,

[tex]\pm1, \ \pm3[/tex]

All the possible roots are,

[tex]\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]

Now check for all the rational roots which are possible for the given function,

[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0[/tex]

Therefore, x = 3 is the potential root of the given function.

Hence, The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex].

For more details about Potential roots refer to the link given below.

https://brainly.com/question/25873992

Answer: ALL OF THEM

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

d1 = 5.9 km

d2 = 4.9 km

d_av = (5.9 + 4.9)/2 = 10.8/2 = 5.4 km I think that's A

Answer:

∠ B = 85°

Step-by-step explanation:

Complementary angles sum to 90° , then

x - 23 + 2x + 29 = 90 , that is

3x + 6 = 90 ( subtract 6 from both sides )

3x = 84 ( divide both sides by 3 )

x = 28

Then

∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°

Answer:

No

Step-by-step explanation:

(12 + 31) × 5 = 215

12 + 31 × 5 = 167

order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.

Order of Operations :

1. Parentheses

2. Exponents

3. Multiplication and Division

4. Addition and Subtraction

Answer:

A

Step-by-step explanation:

Answer:

It’s C :)

Step-by-step explanation:

The solution is Option C.

The value of the equation is simplified as A = 6y³ + 11x² - 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 14x² + 4y³ - 3x² - 5 + 2y³   be equation (1)

On simplifying the equation , we get

Adding the similar terms in the equation , we get

A = ( 4y³ + 2y³ ) + ( 14x² - 3x² ) - 5

Now , the value of A is

A = 6y³ + 11x² - 5

Therefore , the value of A is 6y³ + 11x² - 5

Hence , the equation is 6y³ + 11x² - 5

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

y = 3x + 5

Step-by-step explanation:

Since this is a linear function, its graph is a straight line stretching from - infinity to infinity on both x and y axes, hence domain and range is all real numbers from - infinity to infinity.

Answer:

  (c)  multiplication property of equality

Step-by-step explanation:

Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.

Answer:

A

Step-by-step explanation:

can't tell you

Answer:

Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.

Step-by-step explanation:

tell me if im wrong.........

So cute!!!!!!!!!!!!!!!!!!

Answer:

See image

Step-by-step explanation:

I'm guessing a little bit, bc although you attached an image, it doesn't say what you are trying to prove, nor what you are given. Usually that is provided for a proof.

But we can see that the parallel segments are marked, so we'll call that the given information. Then there are actually two pairs of corresponding angles that are congruent by the Corresponding Angles postulate. But we only need one pair. Then Angle A is congruent to itself by Reflexive Property. Finally what we have proven is that the two triangles ABC and ART are similar by AA

Answer: $62.40

Step-by-step explanation:

what is 20% of 156 ? 31.20

what is 156 - 31.2 ? 124.80

what is 124.8 / 2 ? 62.40

each ticket cost 62.40 dollars

Answer:

You should write a math example

Answer:

-5x / 9x - 18

Step-by-step explanation:

= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying rule : ( a ) = a

then, ( 3x - 7 ) = 3x - 7

= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying the fraction rule : -a/b = a/b

= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= -5x / 9x - 8. Answer!

Answer:

base = 6.8 in

Step-by-step explanation:

area of triangle = 1/2 base height

where height = 4.4 in

              area = 14.96 in²

plugin values into the formula

14.96 = 1/2 base (4.4)

base = 14.96 (2)

               4.4

base = 6.8 in

No, integers cannot be fractions or decimals.

Answer:

it is c

Step-by-step explanation:

Answer:

w < -7

Step-by-step explanation:

Do -42 divided by 6 and keep the sign the same.

You get w < -7.

Hope this helps! :)