All categories

3 years ago

Three farmers shared an order for fertiliser between them in the ratio 3:4:7.

Mathematics

1 answer:

Viktor [21]3 years ago

8 0

Answer:

45 kg = Bethan's share

105 kg = Jade's share

Step-by-step explanation:

Let 3x = Bethan's share

4x = Noah's share

7x = Jade's share

Since Noah's share was 60, then 4x = 60

x = 15

3(15) = 45 kg = Bethan's share

7(15) = 105 kg = Jade's share

You might be interested in

What is (672)x(755)-5

abruzzese [7]

The answer would be 507355

6 0

3 years ago

Read 2 more answers

What is the smallest whole number to the right of 3.52?

igor_vitrenko [27]

I got the answer of 4

5 0

3 years ago

What is the avarege of -2.5,5.2,1.7 and -0.8

aleksandr82 [10.1K]

Average:

4.4 / 3 = 1.4666666666667

Count:

Sum:

4.4

Average:

4.4 / 3 = 1.4666666666667

Count:

Sum:

4.4

5 0

3 years ago

Subtract rational expression. Show work please.

yan [13]

Given:

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}$

To find:

The simplified rational expression by subtraction.

Solution:

Let us factor $x^2-1$ . It can be written as $x^2-1^2$ .

$x^2-1^2=(x-1)(x+1)$ using algebraic identity.

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x+4}{x-1}-\frac{5}{(x+1)(x-1)}$

LCM of $x-1,(x+1)(x-1)=(x+1)(x-1)$

Make the denominators same using LCM.

Multiply and divide the first term by (x + 1) to make the denominator same.

$$=\frac{(x+4)(x+1)}{(x-1)(x+1)}-\frac{5}{(x-1)(x+1)}$

Now, denominators are same, you can subtract the fractions.

$$=\frac{(x+4)(x+1)-5}{(x-1)(x+1)}$

Expand $(x+4)(x+1)-5$ .

$$=\frac{x^2+4x+x+4-5}{(x-1)(x+1)}$

$$=\frac{x^{2}+5 x-1}{(x-1)(x+1)}$

$$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x^{2}+5 x-1}{(x-1)(x+1)}$

6 0

3 years ago

write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

Answer:

$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ add 9 to both sides

$7x+9=2y$ divide both sides by 2

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

$-4=14+b$ subtract 14 from both sides

$-18=b\to b=-18$

Finally we have the equation:

$y=\dfrac{7}{2}x-18$

8 0

4 years ago