The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?

Answer:

678

2

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

How many people are sitting at a table that is not full?

or

How many tables are needed for all 5,426 people?​

Answer:

2x + 3y = 18

Step-by-step explanation:

y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions).  This result simplifies to 3y = - 2x + 18, which can be re-ordered as

2x + 3y = 18 (equation in standard form)

Answer:

=-2

Step-by-step explanation:=-2

cuz i calculated it

its right

Answer:

-2

Step-by-step explanation:

First, the parentheses are calculated.

The denominators must be equal for removal.

2(10/9) - 3(5/6) = 20/18 - 15/18 = 5/18

Now we're going to multiply.

-36/5 × 5/18 = -36/18 and its equals to -2

Answer:

A.

Step-by-step explanation:

The sum of a number, x, and 4 just means x + 4.

If we take twice this sum, it implies that we take the resulting number and multiply it by 2.

Our resulting number is x + 4, so we are left with 2(x + 4).

I hope this helps!

The correct answer is twice the sum of a number and four.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, 2(x+4)

The sum of a number, x, and 4 just means x + 4.

Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.

The resulting number is x + 4, so it is 2(x + 4).

Hence, The correct answer is twice the sum of a number and four.

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:(x-3)(x-3)

Step-by-step explanation:

(x-3)(x-3)=x^2-6x+9

Answer:

Step-by-step explanation:

Answer:

Each piece has 1/5 of 4 feet of rope.

Step-by-step explanation:

There is 4 feet of rope in total. They are divided into 5 pieces. That means that each piece will have 1/5 of 4 feet of rope.

Answer: 1575 grams or 1.575 kgs

Step-by-step explanation:

For 4 people = 450 g of minced beef

For 14 people,

(14 * 450) / 4 = 1575 gms

The range is all the possible y values, so the set with all the arrows.

Answer: B. {3,9,12}

Answer:

B

Step-by-step explanation:

The range means the y coordinates or output

In this the output are the numbers on the right.

We can also find the answer by eliminating.

Option A could not be the answer because it is only one of the numbers from the range.

Option B is the answer because it includes all the numbers from the range.

Option C and Option D could not be the answer because they include other numbers from the domain (which we are not trying to find).

This is an example here below

Hope this helped!!

Answer:

Step-by-step explanation:

The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify.  For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):

[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:

[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)

The above then simplifies to

[tex]-7x^2-2x+5[/tex]

The next one, after distributing the negative into the parenthesis:

[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):

[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to

[tex]7x^2+2x-5[/tex]

Now for the last one:

[tex]12x^2+6x-5-5x^2-8x+12[/tex] and

[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to

[tex]7x^2-2x+7[/tex]

Answer:180.5

Step-by-step explanation:

9.5 x 19

361/2=180.5

Answer:

Nope

Step-by-step explanation:

Please we are not here to joke.find some where else to do such but not here

Answer:

Meh

Step-by-step explanation:

Answer:

[tex]\frac{15}{25}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{3}{5}[/tex]

Answer:

3/5

Step-by-step explanation:

Both of them are multiples of five by dividing them u get the answer

3/5

Answer:

X= 11

Step-by-step explanation:

Move constant to the right side and change its sign

Answer:

15 litres

Step-by-step explanation:

1/3 x= 5

x= 5 : 1/3

x= 5*3

x= 15 litres

=========================================================

Explanation:

f(x) = -x+9

f(0) = -0+9 .... replace x with 0

f(0) = 9

We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function

This is because g( f(0) ) = g( 9 )

g(x) = x^2 - 6x + 9

g(9) = 9^2 - 6*9 + 9 ... replace x with 9

g(9) = 81 - 54 + 9

g(9) = 36

Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36

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

Another method is to compute g(f(x)) algebraically first

g(x) = x^2 - 6x + 9

g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)

g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9

g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9

g(f(x)) = x^2 - 12x + 36

then we plug in x = 0

g(f(x)) = x^2 - 12x + 36

g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0

g(f(0)) = 36

Answer:  c) 3.2 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 12)(x + 14) = 261.44

Rewrite it in Standard form of a quadratic equation:

x² + 26x + 168 = 261.44

x² + 26x - 93.44 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}[/tex]

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    [tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          = [tex]\frac{10-5}{2+2}[/tex]

          = [tex]\frac{5}{4}[/tex]

    Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'

    Then by the property of perpendicular lines,

          [tex]m_{1}\times m_{2}=-1[/tex]

          [tex]\frac{5}{4}\times m_{2}=-1[/tex]

                 [tex]m_{2}=-\frac{4}{5}[/tex]

   Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]

           y - y' = [tex]m_{2}(x-x')[/tex]

           y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]

           y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Answer:15

Step-by-step explanation:

its obvious lol simple maths

Answer:

Barlow School has the greater number of boys by  178.

Answer:

Barlow school by 178

Step-by-step explanation:

→ First let's work out the number of boys at Barlow school

[tex]\frac{4}{9}[/tex]  of  [tex]873[/tex]  [tex]=[/tex]  [tex](873/9)*4[/tex]  [tex]=[/tex]  [tex]388[/tex]

→ There is 388 boys in Barlow school. Now let's work out the number of boys at Willow school. Since we know that  [tex]\frac{2}{3}[/tex]  of the school is girls, it must mean that the remaining part must be boys so the fraction of boys at Willow school is  [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex]  of  [tex]630[/tex]  [tex]=[/tex]   [tex](630/3)*1[/tex]  [tex]=[/tex] 210

→ The question specifies to say which school has a greater number of boys and we can see Barlow school has more boys and the question says by how many so we take away the totals so 388 - 210 = 178

Answer:

The second option

Step-by-step explanation:

Adding n to the x inside of the parentheses moves the graph n units to the left

Answer:

5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.

Step-by-step explanation:

Answer:

The answer is 2 different angles, 53° and 127°.

Explanation:

As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.

Answer:

  6.48 days

Step-by-step explanation:

  [tex]D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384\\\\380=-21\cos\left(\dfrac{2\pi}{29.5}t\right)+384\\\\\dfrac{4}{21}=\cos\left(\dfrac{2\pi}{29.5}t\right)\qquad\text{subtract 384, divide by -21}\\\\\dfrac{2\pi}{29.5}t=\arccos{\dfrac{4}{21}}\qquad\text{use the inverse cosine function}\\\\t=\dfrac{29.5}{2\pi}\arccos{\dfrac{4}{21}}\approx 6.4752\quad\text{days}[/tex]

About 6.48 days after perigee, the moon reaches a distance of 380,000 km from Earth.

Answer:

D

Step-by-step explanation:

Plug in 6 as x in the function

h(6) = 3(6) - 4

h(6) = 18 - 4

h(6) = 14

Answer:

The answer is 14 because 3 x 6 is 18 and 18 - 4 is 14

Step-by-step explanation:

Answer:

Its a sequence question so, you have to find the nth term.

Step-by-step explanation:

If there are 5 more seats, and first value is 12, then:

nth terms = 5n + 12

Try substituting n with 1 to check

Hope this helps

Answer:

Okay, so, your picture kinda blurry but I'll still help you:

to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.

To find the gradient, just pick two points on a line and do

1)the difference between both y axis points

2)the difference between the x axis points

and then divide 1) by 2) to get the gradient.

Hope this helps!!

Answer: x = 5 and y=-6

Step-by-step explanation:

If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.

Answer:

H * 2g/w² = R² - r²

r² = R² - H * 2g/w²

r = √(R² - H * 2g/w²)

Answer:

-4

Step-by-step explanation:

→Distribute the -1 to (x - 1):

(x - 5) - (x - 1)

x - 5 - x + 1

→Add like terms (x and -x, -5 and 1):

-4

Answer:

-4

Step-by-step explanation:

(x-5)-(x-1)

x-5-x+1

x-x-5+1 = -4

Answer:

The middle choice

Step-by-step explanation:

The first figure starts on the upper right corner and goes around from A to B to C to D.

So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.

Answer:

Determine whether each pair of polygons is similar

Step-by-step explanation:

Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)