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slamgirl [31]
2 years ago
14

Paper 3 Foundation Practice Questions. Monday 13th June 2022

Mathematics
1 answer:
erica [24]2 years ago
7 0
All you have to do is divide the number by the denominator which is 8. So 510 divided by 8.

Which will give you 63.75.

Then you times it by the numerator which is 3 so 63.75 x 3

And you are left with £191.25 which is 3/8 of 510
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Ralph is 3 times as old as Sara in 4 years Ralph will be twice as old as Sara will be then. Find Ralph’s age now.
Xelga [282]

Answer:

3x+4 Ralph is currently 12 years old.

Step-by-step explanation:

You can find the equation by reading the scenario given. When you read it, it says that Ralph is 3 times as old as Sara and since her current age is going to be used to represent x you will first get 3x. That automatically eliminates the second and third choice given. It then says the equation is for Ralph's age in four years which means to add four to the equation. This gives you 3x+4 as your equation.

When something is tripled and then in a few years it is doubled, it is easiest to first try the number that is being added. So in this case the number is four. When you multiply 4 by 3 you get 12. If Sara is 4 she'll turn eight in four years and if Ralph is 12 he'll turn 16 in four years. 16 divided by 2 is 8 which shows you that Ralph is currently 12

6 0
3 years ago
the lenght of a rectangle is 2 cm less than 7 times the width. the perimeter is 60 cm . find the width and lenght
vampirchik [111]
First, you want to establish your equations.

L=7W-2
P=60

This is what we already know. To find the width, we have to plug in what we know into P=2(L+W), our equation to find perimeter.

60=2(7W-2+W)

Now that we only have 1 variable, we can solve.

First, distribute the 2.
60=14W-4+2W

Next, combine like terms.

60=16W-4

Then, add four to both sides.

64=16W

Lastly, divide both sides by 16


W=4

To find the length, we plug in our width.

7W-2

7(4)-2

28-2

L=26
8 0
3 years ago
10]The graph of a function is a line that passes through the coordinates (2, 11) and (8. 14).Which is an equation in terms of x
aksik [14]

We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.

1. We must use the next formula to find the slope

m=\frac{y_2-y_1}{x_2-x_1}

Where (x1, y1) and (x2, y2) are the points.

Now, replacing the points in the formula for the slope

m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}

2. We must replace the slope and one of the points in the next formula

y-y_1=m(x-x_1)

Now, replacing the slope and the point (2, 11)

\begin{gathered} y-11=\frac{1}{2}(x-2) \\  \end{gathered}

3. We must delete the parenthesis and solve the equation for y

\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}

ANSWER:

y=\frac{1}{2}x+10

8 0
1 year ago
F(x)=x 2<br> g(x)=x 2 -8<br> We can think of g as the translated version of f.
Maru [420]

Answer:

To get the function <em>g</em>, shift <em>f </em>down by 8 units.

Step-by-step explanation:

The constant - 8  at the end of function g(x) suggests the parent function f(x) was translated 8 units down.

8 0
2 years ago
Patrick and Shelby are playing a game. They toss a fair six-sided number cube, numbered 1 through 6, and they spin a spinner whi
zhuklara [117]

Answer:

(Red, 1) (Red, 2) (Red, 3) (Red, 4) (Red, 5) (Red, 6)

(Blue, 1) (Blue, 2) (Blue, 3) (Blue, 4) (Blue, 5) (Blue, 6)

Step-by-step explanation:

8 0
2 years ago
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