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NeX [460]
3 years ago
5

Jacoby followed a recipe that requires 2 cup for water four every 3 cups of flours. if he used 8 cups flours, how many cups of w

ater did he use?
Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

5 and 1/3 cups of water.

Step-by-step explanation:

Set up a proportion like this:

  2:3 for the original recipe

Then a second proportion for the recipe Jacoby used:  

  w:8  (use w for the unknown water amount)

Set up an equation so that the proportions equal each other. It helps if you write them in fraction form:

  \frac{2}{3} =\frac{w}{8}

Use cross multiplication to get the new equation:

  8 x 2 (or 16) = 3w

Then, divide both sides by 3 to get the amount for w, or water, by itself:

5 and 1/3 = w

I hope this helps! ☺

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Step-by-step explanation:

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3 0
2 years ago
4. An extension ladder is leaned up against a building to reach a window that is 16.1 feet
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Answer:

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3 0
3 years ago
Look at picture <br>y=_<br><br>the height of the baseball after 5 seconds is ___ feet​
Wittaler [7]

Answer:

  • y = -2(x -3)² +24
  • 16 feet

Step-by-step explanation:

We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...

  y = a(x -3)² +b

Filling in the values from the first two table points, we get

  For (x, y) = (0, 6):

     6 = a(0 -3)² + b       ⇒   9a +b = 6

  For (x, y) = (2, 22):

     22 = a(2-3)² +b       ⇒   a +b = 22

Subtracting the second equation from the first gives ...

  (9a +b) -(a +b) = (6) -(22)

  8a = -16 . . . . . . collect terms

  a = -2 . . . . . . . . divide by 8

The second equation above tells us ...

  b = 22 -a = 22 -(-2) = 24

So, our equation for y is ...

  y = -2(x -3)² +24

__

The value of y for x=5 is ...

  y = -2(5 -3)² +24 = 16

The height of the ball after 5 seconds is 16 feet.

5 0
2 years ago
Need help with 9 please
Debora [2.8K]

Answer:

x = 5

y = 1

Step-by-step explanation:

So move 2y from the second equation to the other side of the equals sign

2x +3y = 13

x = 3 + 2y

From here substitute X into the first equation

2(3 + 2y) + 3y = 13

Distribute

6 + 4y +3y = 13

Combine like terms and solve for y

7y = 7

y = 1

insert result into the original equation.

x-2(1) = 3

x - 2 = 3

x = 5

insert into other equation to check work

2(5) + 3(1) = 13

10 + 3 = 13 correct

6 0
3 years ago
List the LCM of the numbers. (MCC.6.NS.4)<br> 3, 11, 12
Alekssandra [29.7K]

Answer:

ans=132

Step-by-step explanation:

7 0
3 years ago
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