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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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Write and solve the equations. A number y is five less than thirteen.
Genrish500 [490]

We can follow the following steps to make an equation and solve it.

Step 1:

five less than 13 means we have to subtract 5 from 13

so it becomes 13-5

Step 2:

A number y is five less than thirteen.

Now in algebraic expressions, "is" stands for "="

So we have:

y=13-5

Step 3:

Solving the equation to find y.

y=13-5

Subtracting 5 from 13, we get :

y=8

Answer:

For the given equation the solution is y=8.

4 0
3 years ago
Khalil has 13.5 M of lanyard he needs to cut the lanyards into pieces that are 90 cm long how many full-length pieces of a lanya
Dmitry [639]

We have been given that Khalil has 13.5 M of lanyard. He needs to cut the lanyards into pieces that are 90 cm long. We are asked to find the number of full-length pieces of a lanyard will Khalil be able to cut.

First of all, we will convert 13.5 meter into cm.

1 meter = 100 cm

13.5 meters = 13.5*100 = 1350 cm.

Now we will divide 1350 by 90 to find number of pieces of lanyard that can be cut from 1350 cm.

\text{Number of full-length pieces of a lanyard}=\frac{1350}{90}

\text{Number of full-length pieces of a lanyard}=15

Therefore, Khalil will be able to cut 15 full-length pieces of a lanyard.

3 0
3 years ago
Solve for x<br> -2x + 4 = 6x - 12
aleksklad [387]

Answer:

x=2

Step-by-step explanation:

-2x+4=6x-12  Add 2x to both sides.

<u>+2x    +2x</u>

4=8x-12         Add 12 to both sides.

<u>+12  +12</u>

16=8x            Divide by 8 on both sides.

<u>/8 /8</u>

2=x

Hope this helps you out and have a great day (~^▽^)~

5 0
2 years ago
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Ali was swimming along the bottom of his backyard pool at a depth of 6 feet then he pushed off the bottom and rose 4 feet what i
olga nikolaevna [1]

Answer:

2 feets

Step-by-step explanation:

Given that :

Alli's Initial depth = 6 feets

Number of feets in which Alli rose = 4 feets

Alli's new position relative to the surface of the pool:

Difference of Alli's initial depth and feets risen :

6 feets - 4 feets = 2 feets

Hence, Alli is now 2 feets below the surface of the pool.

7 0
2 years ago
Help me please been trying to find an answer to these questions?
AleksandrR [38]

Answer:

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Step-by-step explanation:

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3 years ago
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