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dsp73
3 years ago
7

Explain how to find an unknown value in a ratio by using a unit rate.

Mathematics
1 answer:
Ainat [17]3 years ago
3 0
First, we need to define a ratio, the relationship between two measurements or numbers.<span>The first form of a unit rate is made by simply taking one number and placing it over the other, as in division.</span><span>For example, if you want to express the statement, There are 24 eggs in 2 dozens of eggs.in fraction form it would be 24/2.<span>The second form is to use the phrase, “is to”, between the things you are comparing, to denote that they are a ratio.</span></span> <span>If you take the example using this form, the answer would be, “24 is to 2”.<span>The third form is to use a colon to between the numbers that we are comparing; this is the standard ratio form.</span></span><span>A rate is a special ratio that is composed of two different units or things; think of it as a ratio with words.<span>It's like describing what things are equal to in the simplest and most convenient form. That should help!</span></span> 
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Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?
Julli [10]

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3

Now that we have the value of x, plug it into either equation to solve for y:

3+3y=-12\\ 3y=-15\\ y=-5\\ \\ y=\frac{1}{3}*3-6\\ y=1-6\\ y=-5

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>
5 0
3 years ago
Find the surface area of the pyramid. Correct answer will be marked brainliest!!!!
stepladder [879]

Answer:

178.3 mm²

Explanation:

The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()

5 0
3 years ago
Given h(x) = -3x – 5, solve for x when h(x) = –2.
leva [86]
-2=-3x -5
3=-3x
x=-1
i think that’s the correct answer if h(x) is -2 assuming its y
5 0
3 years ago
Three consecutive integers have a sum of 51 . find the integers
nataly862011 [7]
Consecutive integers are 1 apart
they are
x,x+1,x+2

they have a sum of 51

x+x+1+x+2=51
3x+3=51
minus 3 both sides
3x=48
divide both sides by 3
x=16

16+1=17
16+2=18

the numbers are 16,17,18
8 0
3 years ago
(-2,0) and (3,4)<br><br> slope=1/3 and (2,4)<br><br> SOLVE EQUATIONS FOR THEM PLEASE
andrew11 [14]

Answer:  a)\quad y=\dfrac{4}{5}x+\dfrac{8}{5}               b)\quad y=\dfrac{1}{3}x+\dfrac{10}{3}                

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

Use the Slope formula:      m=\dfrac{y_2-y_1}{x_2-x_1}

and the Point-Slope formula:   y - y₁ = m(x - x₁)

a) (-2, 0) and (3, 4)

 m=\dfrac{0-4}{-2-3}\quad =\dfrac{-4}{-5}\quad =\dfrac{4}{5}

Let (x₁, y₁) = (-2, 0)      

y - y₁ = m(x - x₁)

y-0=\dfrac{4}{5}\bigg(x-(-2)\bigg)\\\\\\y\quad =\dfrac{4}{5}\bigg(x+2\bigg)\\\\\\\large\boxed{y\quad =\dfrac{4}{5}x+\dfrac{8}{5}}

b) m = 1/3     (x₁, y₁) = (2, 4)    

y - y₁ = m(x - x₁)

y-4=\dfrac{1}{3}\bigg(x-2\bigg)\\\\\\y-4 =\dfrac{1}{3}x-\dfrac{2}{3}\\\\\\y\quad \ =\dfrac{1}{3}x-\dfrac{2}{3}+\dfrac{12}{3}\\\\\\\large\boxed{y\quad =\dfrac{1}{3}x+\dfrac{10}{3}}

7 0
4 years ago
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