All categories

3 years ago

Could someone help me with this question please!

Mathematics

1 answer:

torisob [31]3 years ago

8 0

X + y = 56 ------------------(1)
x:y = 5:3
x/y = 5/3
3 x = 5 y
so, x = (5/3)y---------------(2)
sub (2) in (1)
x + y = 56
(5/3)y + y = 56
5 y + 3 y = 168
8 y = 168
y = 168 / 8 = 21
x = (5/3) x 21
= 35
the value of x - y = 35 - 21
= 14

You might be interested in

HELPPPPP<br> What is the area of the actual living room?

professor190 [17]

Answer:

The answer is 51,200 in².

Step-by-step explanation:

(4x40)x(8x40)=51,200

7 0

2 years ago

I need help with classifying angles

givi [52]

Angles<span> can be either straight, right, acute or obtuse. An angle</span><span> is a fraction of a circle where the whole circle is 360°. A straight </span>angle<span> is the same as half the circle and is 180° whereas a right </span>angle<span> is a quarter of a circle and is 90°

hope this helped.</span>

3 0

2 years ago

Read 2 more answers

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

3 years ago

HELP Me PLEASE BUT I JUST NEED THE ANSWER AND I hAVE 35MORE QUESTINS

iren [92.7K]

<h2>Answer:</h2>

<u>The length is</u><u> 12 feet</u>

<h2>Step-by-step explanation:</h2>

The width of the garden is 5 feet

After that the total edging is telling us the area

We know that

<h3>Area of rectangle = length x width</h3>

60 = length x 5

Length = 60 / 5

Length = 12 feet

6 0

3 years ago

How do you do 1 kilometers 125 meters - 375 meters

olga_2 [115]

1km is 1000 m
1000m+125m-375m=750m

8 0

2 years ago

Read 2 more answers