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Andre45 [30]
3 years ago
12

A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hol

d? Express your answer as a mixed number in the simplest form.
Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0
First you would put both numbers into improper fractions.

3 1/3 = 10/3 and 2 1/4 = 9/4

Multiply 10/3 * 9/4

10*9 = 90 and 3 * 4 =12

So 90/12 is your fraction. Reduce it, 7 6/12

7 6/12 = 7 1/2

So your answer is 7 1/2

Hope I helped :)
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B is the midpoint of ac. Ab = x+9 and bc = 3x-7 find x and ac
natali 33 [55]

To solve this problem, we need to know 2 relationships:

<h2>1. AC = AB + BC</h2>

The distance of AC is the sum of AB and BC.

AC = AB + BC

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

<h2>2. AB = BC</h2>

The distance of AB is the same as AC.

AB = BC

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

<h2>Putting them together</h2>

Since we know the values of AB and BC...

AB = x+9\\BC = 3x-7

...we can put these values into our 2nd equation and solve for x:

AB = BC\\x + 9 = 3x -7

Add 7 to both sides:

x + 16 = 3x

Subtract x from both sides:

16 = 2x

Divide both sides by 2:

8 = x\\x = 8

Knowing x, we can find the distance of AC using our first equation.

AC = AB + BC

Let's put in the values of AB and BC:

AC = (x+9) + (3x-7)

Before we put in x = 8, we can simplify this:

AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

AC = 4x +2\\AC = 4*8 + 2

Since 4 * 8 = 32:

AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34

Finally, we have found both x and AC.

<h2>Answer</h2>

x = 8

AC = 34

7 0
3 years ago
Solve the equation.<br><br> -1 2/7 ÷ 1 13/14 =
sergeinik [125]

Answer:

-4/13

Step-by-step explanation:

just using your calculator and you can get the answer.

5 0
3 years ago
Read 2 more answers
Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?
Volgvan
  • Answer:
  • david finished 24 problems more than ameetha
  • Step-by-step explanation:
  • <em>problems finished by ameetha = 12 problems</em>
  • <em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36</em>
  • <em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =</em>
  • <em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =36-12= 24 </em>
  • <em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =36-12= 24 so David finished 24 problems more than ameetha</em>
8 0
3 years ago
Find the distance between (2,3) (4, -7)<br><br> Find the distance between (-9,-4) (-3,6)
stealth61 [152]

Answer:

Find the distance between (2,3) (4, -7)

= 6

Find the distance between (-9,-4) (-3,6)

= -10

5 0
3 years ago
Read 2 more answers
A residential property is assessed for tax purposes at ​40% of its market value. The residential property tax rate is 3 1/2​% of
Leokris [45]

Answer:

9

Step-by-step explanation:

ya i bthink 9

8 0
3 years ago
Read 2 more answers
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