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Aleksandr-060686 [28]
3 years ago
9

Two numbers are in the ratio 7:8. Find the numbers if their sum is 45.

Mathematics
2 answers:
Galina-37 [17]3 years ago
7 0
Let us assume the common ratio to be = x
Then
7x + 8x = 45
15x = 45
x = 45/15
  = 3
Then the two numbers are
7x :8x
7 * 3:8 * 3
21: 24
Then the two numbers are 21 and 24. I hope the procedure in which the problem is done is clear to you. This is a simple but effective way of solving such problems. In future this method will make you confident about solving these kind of problems.


Roman55 [17]3 years ago
6 0
Add the total of the ratio.
7+8=15.

Then divide 45 by the total.
45/15=3

Now multiply the separate ratios (7 and 8) by 3.
7*3=21
8*3=24

The numbers: 21, 24
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What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?
BigorU [14]
Y=-3/2x+7/2 is the answer!
7 0
2 years ago
Find the point P on the line y=2x that is closest to the point (20,0) .what is the least distance between pans (20,0)?
Vsevolod [243]
The closest point on a line, to another point, will be a point that's on a normal of that line, or a line that is perpendicular to it, notice picture below

so, y = 2x, has a slope of 2, a perpendicular line to it, will have a slope of negative reciprocal that, or \bf 2\qquad negative\implies -2\qquad reciprocal\implies \cfrac{1}{-2}\implies -\cfrac{1}{2}

so, we know that line passes through the point 20,0, and has a slope of -1/2

if we plug that in the point-slope form, we get \bf y-0=-\cfrac{1}{2}(x-20)\implies y=-\cfrac{1}{2}x+10

now, the point that's on 2x and is also on that perpendicular line, is the closest to 20,0 from 2x, thus, is where both graphs intersect, as you can see in the graph

thus  \bf 2x=-\cfrac{1}{2}x+10  solve for "x'

------------------------------------------------------------

not sure on the 2nd part, but sounds like, what's the distance from that point to 20,0, well, if that's the case, just use the distance equation

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ \square }}\quad ,&{{ \square }})\quad 
%  (c,d)
&({{ \square }}\quad ,&{{ \square }})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}


6 0
3 years ago
An online camping supplies outlet charges $14 for a canteen,
Vedmedyk [2.9K]

Answer:

Part A: 14x + 2

Part B: CJ's order is $30, and Cameron's order is $58.

Step-by-step explanation:

<u>Part A:</u> The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.

<u>Part B:</u>

CJ's Order:

14(2) + 2 =

28 + 2

$30

Cameron's Order:

14(4) + 2 =

56 + 2 =

$58

Hope this helps! :D

3 0
2 years ago
Find the equation in slope-intercept form (10,4) that is perpendicular to y=5x-3
TEA [102]
Perpendicular equation: y=-1/5x + 6
7 0
2 years ago
Enter the unknown value that makes this statement true: 20% of ? is 40. ​
elixir [45]

Answer: 20% of 200= 40

Hope this helps

3 0
2 years ago
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