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DENIUS [597]
3 years ago
14

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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What is the answer to 2x+4y=16:4y=12
allsm [11]

Answer:

Here,

2x + 4y = 16....eqn \: i \\ 4y = 12....eqn \: ii

substituting the value of 4y in eqn i fron eqn ii

so eqn i becomes

2x + 12 = 16 \\ 2x = 4 \\ x = 2

So

y = 12 \div 4 = 3

Thus,

x = 2 \: and \: y = 3

...hope this helps:)

8 0
2 years ago
What is the equation of the horizontal line through (1,9)
stealth61 [152]

Answer:

slope=9

Step-by-step explanation:

the slope is 9, because you do the y/x or rise over run, so you do for every 9 up 1 right to get a slope of 9/1 or 9

3 0
3 years ago
Read 2 more answers
A tree trunk has r rings after growing for y years. what is the dependent variable?
kobusy [5.1K]
The answer should be r
5 0
3 years ago
Based on the scatterplot and the value of the correlation coefficient, it would make sense to test the significance of this obse
Aleks [24]

Answer:

d. H0: melanoma mortality rate is not linearly related to latitude

   Ha: melanoma mortality rate is linearly related to latitude

Step-by-step explanation:

The linear regression equation is

y=α+βx where α=intercept and β=slope.

β=slope demonstrates the change in dependent variable due to unit change in independent variable.

If the slope is zero then we can say that Y and X are not linearly related.

Thus, the hypothesis for testing significance of linear relationship two variables can be written as

Null hypothesis: The two variables are not linearly related i.e. β=0

Alternative hypothesis : The two variables are linearly related i.e. β≠0.

Thus, in the given scenario the hypothesis are

H0: melanoma mortality rate is not linearly related to latitude

Ha: melanoma mortality rate is linearly related to latitude.

5 0
3 years ago
The table below represents a linear function in the equation represents a function. table numbers are X: -1,0,1. f(x): -3,0,3. G
Alexxx [7]
A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points ( x_{1} , y_{1} ) and another ( x_{2} , y_{2} ). It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.

Let's pick as follows:
( x_{1} , y_{1} )= (0.0)
( x_{2} , y_{2} )= (1.3)

The slope formula is: m= \frac{y_{2} - y_{1} }{ x_{2}- x_{1}  }
We now substitute the values we got from the points to obtain.
m= \frac{3-0}{ 1-0 } = \frac{3}{1}=3

The slope of f(x) = 3

SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.

That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.

The slope of g(x) = 2

B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.

Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0

So the function g(x) has the greater y-intercept
5 0
3 years ago
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