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ELEN [110]
3 years ago
10

Kellan’s lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder

to make a batch of lemonade. How much water should he use?
Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer:

6.25 cups of water

Step-by-step explanation:

So I first write out the rates: 4:2.5 and also 10:?

So let's find out how the scoops changed, as in how did you get 4 to become 10 so you can do the same thing to 2.5 and get ?.

To go from 4 to 10 you MULTIPLY/DIVIDE. DON'T ADD OR SUBTRACT. 10 divided by 4 (to see what you multiplied by) is 2.5.

So we multiplied 4 by 2.5 to get 10. So if we multiply 2.5 by 2.5 we get 6.25.

So 4:2.5  =  10:6.25  

?=6.25

Hope this helps!

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Determine whether this pair of lines is parellel, perpendicular, or neither 6+2x=3y 3x+2y=9 Choose the correct answer below. A.
andriy [413]

Answer:

Option A. These two lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Convert the given equation A in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

we have

6+2x=3y ----> equation A

Solve for y

That means----> isolate the variable y

Divide by 3 both sides

y=\frac{2}{3}x+2

so

m_A=\frac{2}{3}

step 2

Convert the given equation B in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

we have

3x+2y=9 ----> equation B

Solve for y

That means----> isolate the variable y

subtract 3x both sides

2y=-3x+9

Divide by 2 both sides

y=-\frac{3}{2}x+4.6

so

m_B=-\frac{3}{2}

step 3

Compare the slopes

m_A=\frac{2}{3}

m_B=-\frac{3}{2}

The slopes are opposite reciprocal (the product is equal to -1)

therefore

These two lines are perpendicular

3 0
4 years ago
How long will it take for the balance of an account to double if the savings account earns 0.75% annual interest compounded mont
Margarita [4]
You're looking for the time t that it takes for the principal P to double, so A=2P. Dividing both sides of the formula by P leaves you with

2=\left(1+\dfrac rn\right)^{nt}

You're given that the account earns 0.75% interest and that the interest is compounded monthly, so r=0.0075 and n=12.

2=\left(1+\dfrac{0.0075}{12}\right)^{12t}
\ln2=\ln\left(1+\dfrac{0.0075}{12}\right)^{12t}
\ln2=12t\ln\left(1+\dfrac{0.0075}{12}\right)
t=\dfrac{\ln2}{12\ln\left(1+\dfrac{0.0075}{12}\right)}\approx92.45
8 0
3 years ago
I really need help urgently!!! Geometry!
Naddik [55]
Both triangles are similar because 2 angles are same, only difference is in size.
similarity theorem - 2 angles of one triangle are congruent to 2 angles of another triangle, corresponding sides are in proportional.

24/ 3x+6 = 32/28
24 x 28 = 32 (3x+6)
x = 5

3 0
3 years ago
I will give 10 brainliast to anyone who answers this!!! plz help
Usimov [2.4K]

Answer:

0.007mph

Step-by-step explanation:

Just divide the speed by the time, and you've got it!

1/4=0.25

0.25/36=0.007mph

4 0
3 years ago
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