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frez [133]
2 years ago
15

Ayden has 4\frac{1}{4}

Mathematics
1 answer:
inessss [21]2 years ago
3 0

For this case, we convert the mixed number into an improper fraction:

4 \frac {1} {4} = \frac {4 * 4 + 1} {4} = \frac {16 + 1} {4} = \frac {17} {4}

This represents the number of cups Ayden has to make dumplings

If you use\frac {1} {2}cups for each ball of dough. So we divide to find how many dumplings Ayden can make:

\frac {\frac {17} {4}} {\frac {1} {2}} = \frac {17 * 2} {4 * 1} = \frac {34} {4} = \frac {17} {2} = 8 \frac {1} {2}

So Ayden can make8 \frac {1} {2}dumplings

ANswer:

Ayden can make 8 \frac {1} {2}dumplings

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Which side lengths form a right triangle?
Natalija [7]

Answer:

this is kinda confusing..So ill just answer the first question.

<h3>Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.</h3>

hope it helps.

5 0
2 years ago
What number must be placed in the box in the equation below to produce an equation that has more than one solution: 5u+3(4u-6)=-
Sergeeva-Olga [200]

Answer: the number must be placed in the box is 9

suppose: the number must be placed in the box is x

have:

5u + 3(4u - 6) = -3u -27 + 20u + x

⇔ 5u + 12u - 18 = -3u - 27 + 20u +x

⇔ 17u + 3u - 20u = -27 + 18 + x

⇔ 0 = x - 9

⇔ x = 9

Step-by-step explanation:

7 0
3 years ago
What are the 2 shapes
uysha [10]
A stop sign shape i think

6 0
3 years ago
How do you solve this?
puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let x represent the width.

Since the length is 7 feet longer, we can represent the length by x+7.

Now that we have our values for the length and the width we can multiply them together to find our area.

(x)(x+7)=x^{2} +7x

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

(x+7)(x+14)

And multiply our area by 3.

3(x^{2} +7x)

set these equal to each other to find your new equation.

(x+7)(x+14)=3(x^{2} +7x)

Now you need to solve for x. To do this first muliply (x+7) and (x+14).

(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98

Then multiply 3(x^{2} +7x)

3(x^{2} +7x)=\\3x^{2} +21x

Now you can begin solving for x.

x^{2} +21x+98=3x^{2} +21x

Subtract x^{2} from both sides.

21x+98=2x^{2} +21x

Subtract 21x from both sides.

98=2x^{2}

Divide by 2.

49=x^{2}

And finally take the sqaure root of both sides.

\sqrt{x^{2} }=\sqrt{49}\\x=7

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of x, we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0
3 years ago
I'm a election 4713 people voted candidate B received 2 thirds of the votes. How many votes did candidate b receive
madam [21]

Answer:

3142

Step-by-step explanation:

4713 x 2/3

4 0
3 years ago
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