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-Dominant- [34]
3 years ago
15

The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many students are girls?

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

16 girls

Step-by-step explanation:

If the ratio Is b:g, then we can assume the majoraty are boys.

If we look at the factors for these numbers, it goes like this: 5, 10, 15, 20, 25 for 4, we get 4, 8, 12, 16, 20, 24. If you look at the fourth factor, 20, and 16, then you can see that they add up to 36.

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Find the slope between the two points given. Then, use the slope and one of the points to write the
IrinaVladis [17]

Answer:

The slope is -2

y =-2x - 1

Step-by-step explanation:

The slope is -2 or -2/1.

The slope is the change in y over the change in x.  The ordered pair is written in the form (x,y)  The first number is the x coordinate and the second number is the y coordinate.

(1, -3) (0, -1)  The -1 and the -3 are the y coordinates.  We subtract these.

-1 -(-3)  is the same as

- 1 + 3  which is 2.  

(1, -3) (0, 1,) the 1 and the 0 are the x coordinates.  We subtract these

0 - 1  is -1

The change in y is 2 and the change in x is -1, so our slope is -2/1 which is the same as -2.

To write the equation we need the slope and the y intercept.  We have the slope now.  We need to find the y-intercept.  We will use the slope and one of the points to find the y-intercept.  It does not matter which of the two points (1,-3) or (0,-1).  I will use (0,-1)

y = mx + b The b is the y-intercept which is what we are looking for

-1 = -2(0) + b

-1 = 0 + b

-1 = b

y = -2x -1

3 0
2 years ago
How much money should be invested at 5% interest, compounded quarterly, so that 7 years later the investment will be worth $5000
vampirchik [111]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$5000\\
P=\textit{original amount deposited}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four times}
\end{array}\to &4\\
t=years\to &7
\end{cases}
\\\\\\
5000=P\left(1+\frac{0.05}{4}\right)^{4\cdot 7}\implies 5000=P(1.0125)^{28}\\\\\\ \cfrac{5000}{(1.0125)^{28}}=P
8 0
3 years ago
HELP I WILL MARK YOU AS A BRAINLIEST!
sdas [7]

Answer: they will each spend $6.75

Step-by-step explanation:

27/4 = 6.75

6 0
3 years ago
Read 2 more answers
15 points! What is the scale factor of the dilation?
maw [93]

Answer: \frac{1}{2}

Step-by-step explanation:

Use the formula for calculate the distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Calculate the distance AB. Substitute the coordinates into the formula. Then:

d_{AB}=\sqrt{(8-0)^2+(8-(-7))^2}

d_{AB}=17

Calculate the distance A'B'. Substitute the coordinates into the formula. Then:

d_{A'B'}=\sqrt{(2-6)^2+(1-5-(-6))^2}

d_{A'B'}=\frac{17}{2}

As you can see, the distance A'B' is the distance AB multiplied by 1/2. Therefore, this is the scale factor.

5 0
3 years ago
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yKpoI14uk [10]
Using pie to solve:
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Area: 153.94 (rounded)

Using 3.14 for pie
Circumference: 43.96
Area: 153.86
8 0
3 years ago
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