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DaniilM [7]
3 years ago
12

A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The ra

tio of teaspoons of yellow water to teaspoons of red water is 3:1 ." Write a ratio for 2 batches of this recipe and explain how you know it is equivalent to 3:1.
Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:

The ratio of 2 batches of recipe is 6:2. Which is equivalent to 3:1 because if we multiply the ratio with same number it would give us equivalent ratio.

Step-by-step explanation:

When mix 3 teaspoon of Yellow water with 1 teaspoon of red water, we get ratio as 3:1

If we use 2 batches of recipe, the ratio is multiplied twice.

That's ratio of yellow water to red water is 3*2 :1*2 , which gives 6:2

But, if we simplify the ratio, by dividing both by common factor, we would get 3:1

That's \frac{6}{2} :\frac{2}{2} simplified to 3:1

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jekas [21]

Answer:

The amount at the end of second quarter is $1842.704

Step-by-step explanation:

Given as :

The principal in saving account = $1640

The rate of interest = 6 % compounded quarterly

The time period = 6 months

Now,<u> from compounded method</u>

The amount at the end of first quarter = A_1 = principal + 6 % of principal

I.e  A_1 = $1640 + 6 % × $1640

Or, A_1 = $1640 + $ 98.4

∴ A_1 = $1738.4

Again ,

The amount at the end of second quarter = A_2 = A_ + 6 % of  A_1

I.e  A_2 = $1738.4 + 6 % × $1738.4

Or, A_2 = $1738.4 + $104.304

∴ A_2 = $1842.704

So, The amount at the end of second quarter =  A_2 = $1842.704

Hence , The amount at the end of second quarter is $1842.704 Answer

8 0
3 years ago
Pierre is rowing his kayak on a lake. He moves 1 à miles in 18 minutes. At this rate, how far would he move in 30 minutes ?
Neporo4naja [7]

Answer:

Step-by-step explanation:

if Pierre moves 1 mile in 18 minutes

1 miles..............................18 minutes

? miles...............................30 minutes

the number of miles=30/18=10/6=1.66 miles

5 0
3 years ago
Write the slope of a line that is parallel and perpendicular to y=7x−15. whats the answer pls help !!!!!
Andru [333]

Answer:

parallel: y=7x+5

perpendicular: -1/7x-15

Step-by-step explanation:

when finding an equation for a parallel line the slopes stay the same and the y intercept changes.

when finding a perpendicular lines you flip your fraction, so in this instance it's 7/1 so then it would be 1/7, then you make your numerator the opposite. so in this instance the numerator was positive 1 so turn it negative.

5 0
3 years ago
3. One of the fireworks is launched from the top of the building with an initial
algol13
The answer is G hope i helped and god bless

4 0
2 years ago
30 Use the method of completing the square to determine the vertex of f(x) = x² - 14x - 15.
agasfer [191]

Answer:

<h2>x² - 14x - 15 =  (x − 7)² − 64</h2><h2>Then the coordinates of the vertex are (7 , -64)</h2>

Step-by-step explanation:

x² - 14x - 15 = x² - 14x + (49 - 49) - 15

                  = (x² - 14x + 49) - 49 - 15

                  =  (x² - 14x + 7²) - 49 - 15

                  =  (x − 7)² − (49 + 15)

                  =  (x − 7)² − 64

x² - 14x - 15 =  (x − 7)² − 64

Then the coordinates of the vertex are (7 , -64)

5 0
2 years ago
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