3 years ago

Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. What is the number?

Mathematics

1 answer:

MakcuM [25]3 years ago

7 0

5 (x+3) = 3*(2x-1)
Solve for x.
5x + 15 = 6x - 3
18 = x

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The ratio of coins to notes in a bag is 3 to 8. If there are a total of 24 coins then how many notes are there?

BaLLatris [955]

Set up a proportion
3 coins:8 notes and then the other one 24 coins : x (unknown notes)
they have a relationship so we can set them equal to each other.
3/8=24/x cross multiply: 8 * 24 = 192
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3 years ago

Find the equation is standard form, of the line passing through he points (2,-3) and (4,2)

Simora [160]

The point slope formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

$(2,\ -3)\to x_1=2,\ y_1=-3\\(4,\ 2)\to x_2=4,\ y_2=2$

Substitute:

$m=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}=2.5\\\\y-(-3)=2.5(x-2)\\\\y+3=2.5x-5\ \ \ \ |+5\\\\y+8=2.5x\ \ \ \ \ \ |-y\\\\2.5x-y=8\ \ \ \ \ |\cdot2\\\\\boxed{5x-2y=16}$