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Naya [18.7K]
3 years ago
15

An oatmeal recipe calls for 4 cups of oats for every 3 cups of milk. If you want to use 9 cups of oats, how much milk would you

need to use?
Plz show your work.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

Answer:

9 \frac{3}{4} sups of milk

Step-by-step explanation:

It is given that;

4 : 3 (this represents the proportion of cups of oats to cups of milk)

Now one has to find how many cups of milk will correspond with 9 cups of oats.

First, convert the given ratio to a unit ratio,

4 : 3

/4  /4

1 : \frac{3}{4}

Now multiply the entire ratio by 9 to find out how many cups of milk corresponds to 9 cups of oats;

9 : \frac{39}{4}

Simplify;

9 : 9 \frac{3}{4}

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Simplify.<br><br> 8 · 3 · x<br><br> 13x<br> 24x<br> 22x<br> 48x
Elina [12.6K]

8\cdot3\cdot x=(8\cdot3)x=24x

7 0
3 years ago
Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A
alekssr [168]

Answer:

\theta_{CAB}=128.316

\theta_{ABC}=25.842

\theta_{BCA}=25.842

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

AB= \sqrt{(-3-1)^2+(0-3)^2}=5

BC= \sqrt{(1-1)^2+(3-(-3))^2}=9

CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}

\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}

\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}

\theta_{CAB}=\arccos{-\dfrac{0.62}}

\theta_{CAB}=128.316

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}

\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)

\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)

\theta_{ABC}=\arcsin{0.4359}\right)

\theta_{ABC}=25.842

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

\theta_{BCA}=25.842

this can also be checked using the fact the sum of all angles inside a triangle is 180

\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180

25.842+128.316+25.842

180

6 0
3 years ago
Read 2 more answers
|r|=-2 solve the equation and graph the solution if possible
S_A_V [24]
That bracket symbol, with an r in it, means "the absolute value of r". 
So r's absolute value is -2 meaning r is two units from zero
r= 2
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3 years ago
When you subtract one negative integer from another will your answer be greater than or less than the integer you started with
MatroZZZ [7]

Subtracting a negative integer is the same as adding a positive integer. Adding a positive integer to any number always makes the answer larger than the original number. Therefore, if you subtract one negative integer from another your answer will be always be *greater* than the integer you started with.

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HELP ME PLS PLS PLS PLS
Kipish [7]

Answer:

y=-6/4x-4

Step-by-step explanation:

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2 years ago
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