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Minchanka [31]
3 years ago
8

Connor gathered dry ingredients to make a large pan of brownies. He mixed1 1/4 cups of sugar, 2 2/3 cups of flour and 1 1/6 cups

of nuts together before adding the other ingredients how many cups of dry ingredients did he mix?
Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

5\frac{1}{2}

Explanation:

1. Find a common denominator for the three fractions. A common denominator is a number all three numbers divide into evenly. The lowest common denominator for 4, 3, and 6 is 12.

2. Find the numerators. This can be done by multiplying the current numerators by however many times the old denominator goes into the new denominator.

4 goes into 12 3 times

3 goes into 12 4 times

6 goes into 12 2 times

1 x 3 = 3

2 x 4 = 8

1 x 6 = 6

So, the fractions become:

1\frac{3}{12} + 2\frac{8}{12} + 1\frac{2}{12}

3. Add the numerators of the new fractions and keep the denominator the same.

4 \frac{13}{12}

4. Convert the improper fraction to a mixed number.

1 \frac{1}{12}

5. Finally, add the whole numbers.

1 + 4 = 5

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Pavlova-9 [17]

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Answer:

  x +7

Step-by-step explanation:

The argument of the absolute value function is positive for any x > -7. The required domain is a subset of that, so the absolute value function does not change its argument.

  |x+7| for x ≥ 7 is x +7

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3 years ago
How do I write n+5n= <br>12c-c= and -4j-1-4j+6= in simplest form?
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Just combine the terms!
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Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.
kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

  • AB ≅ BA;
  • AC ≅ BD;
  • BC ≅ AD;
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  • ∠BCA ≅ ∠ADB;
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Consider triangles AEC and BED. In these triangles,

  • AC ≅ BD;
  • ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
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So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

6 0
4 years ago
Evaluate 5x-\dfrac xy5x−
olga2289 [7]

Answer:

5x - (x/y) = 18 when x=4 and y=2

Step-by-step explanation:

5x - (x/y)

When x=4 and y=2

Substitute the value of x=4 and y=2 into the expression

5x - (x/y)

5(4) - (4/2)

Multiply 5 by 4 and divide 4 by 2

=20 - 2

Subtract 2 from 20

=18

5x - (x/y) = 18 when x=4 and y=2

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Solve<br> 4x - 9 = 6 - x
ivolga24 [154]

Answer:

x = 3

Step-by-step explanation:

8 0
3 years ago
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