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3 years ago

Jenny and Laura share £30 in the ratio of 3:2 work out how much money jenny gets

Mathematics

1 answer:

Brut [27]3 years ago

8 0

Answer:

Jenny gets €18.

Step-by-step explanation:

Jenny gets 3 of every Laura's 2. First you add together both numbers in the ratio. 3+2=5. Then you divide the constant, 30, by the sum, 5. 30/5=6. Then you multiply each number of the ratio by the quotient. 3 x 6=18.

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P (6,6) y=2/3x

matrenka [14]

Answer:

$y = -\frac{3}{2}x+15$

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

$y = \frac{2}{3}x$

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

$y = \frac{2}{3}x$

Now, we compare the given equation by standard form $y = mx +c$

So, slope of the line $m_{1} = \frac{2}{3}$ , and

y-intercept $c=0$

We know that the slope of the perpendicular line $m_{1}\times m_{2} = -1$

$m_{2}=-\frac{1}{m_{1}}$

$m_{2}=-\frac{1}{\frac{2}{3} }$

$m_{2}=-\frac{3}{2}$

So, the slope of the perpendicular line $m_{2}=-\frac{3}{2}$

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

$y=mx+c$

Substitute point $P(x_{1}, y_{1})=P(6, 6)$ and $m = m_{2}=-\frac{3}{2}$

$6=-\frac{3}{2}\times 6 +c$

$6=-3\times 3 +c$

$c=6+9$

$c=15$

So, the y-intercept of the perpendicular line $c=15$

Using point slope formula.

$y=mx+c$

Substitute $m = m_{2}=-\frac{3}{2}$ and $c=15$ in above equation.

$y = -\frac{3}{2}x+15$

Therefore: the equation of the perpendicular line $y = -\frac{3}{2}x+15$

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3 years ago

What is 3/20 as a decimal equivalent

11Alexandr11 [23.1K]

3/20 as a decimal equivalent is <span>0.15</span>

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3 years ago

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<1 and <2 are supplementary angles. m <1 is 4y+7, and m<2 is 9y+4. Find m<2.

Yuliya22 [10]

Okay, so supplementary angles = 180 degrees.

Starting equation : 4y + 7 + 9y + 4 = 180

Combine like terms : 13y + 11 = 180

Subtract 11 from both sides : 13y = 169

Divide 13 from both sides : y = 13

Insert y value into original m<2 equation : 9(13) + 4

Solve : 121 degrees

If you want to check your work, all you have to do is insert y value into original m<1 equation and then add both m<1 and m<2. If they equal 180, your answer is correct.

4(13) + 7 = 59

59 + 121 = 180

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3 years ago

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WILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER CORRECTLY! PLUS 35 POINTS!

mart [117]

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3 years ago

Six more than five times a number x is at least twenty one

LUCKY_DIMON [66]

5x3=15. 15+6=21. The answer would be 3

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3 years ago

Jenny and Laura share £30 in the ratio of 3:2 work out how much money jenny gets​

Jenny and Laura share £30 in the ratio of 3:2 work out how much money jenny gets