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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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The answer is 2268pi ft^3

7 0
3 years ago
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Find the specified vector or scalar. . u = -4i + 1j and v = 4i + 1j; Find |u+v|. a. square root of 34. b. 5. c. 2
ExtremeBDS [4]
U = - 4 i + 1 j
v = 4 i + 1 j
| u | = √ (-4)² + 1² = √ 17
| v | = √4² + 1² = √ 17
| u + v | = √(u + v)²=
= √( u² + 2 u v + v² )= ...
cos ( u, v ) = (-16+1) / (|u| |v|) = -15/17
...= √(17 + 2 · √17 · √17 · ( -15/17) +17)  =
= √ 34 - 30 = √ 4 = 2
Answer: C ) 2 

3 0
3 years ago
Is apples cost $3.50 per pound how much would one and 1/2 pounds cost
Shalnov [3]

$ 3.50 per lb * 1 1/2 lbs

3.50 per lb * 1.5 lbs = 5.25

It will cost $5.25

3 0
4 years ago
Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 –3x + 5y = 10
n200080 [17]

Answer:

(0,2)

Step-by-step explanation:

solve by addition/elimination

2x + 3y= 6

–3x + 5y = 10  

multiply first equation by 3  and second one by 2 to eliminate x)

6x+9y=18

-6x+10y=20 (add the two equations)

6x+9y-6x+10y=38

19y=38

y=38/19=2

2x+3y=6

2x=6-6

x=0

7 0
3 years ago
You have a garden in your backyard that measures 15 meters by 20 meters. You want to place stepping stones around the perimeter
Anettt [7]

Answer:

0.5 m

Step-by-step explanation:

Given that the dimensions of the garden are 15 meters by 20 meters.

The area of the new garden (original garden + stone placed around the perimeter) is 336m².

Let d be the width of the border having stepping stones as shown in the figure. The shaded region in the figure is the area having stepping stones.

The area including the shaded region = (15+2d)(20+2d) m^2

\Rightarrow 336  = (15+2d)(20+2d) \\\\\Rightarrow 336  = 300+ 70 d +4d^2 \\\\\Rightarrow 4d^2 +70d+300-336=0 \\\\\Rightarrow 4d^2 +70d-36=0 \\\\\Rightarrow 2d^2 +35d-18=0 \\\\\Rightarrow 2d^2 +36d-d-18=0 \\\\\Rightarrow (2d-1)(d+18)=0 \\\\\Rightarrow (2d-1)=0, \; or \; (d+18) \\\\\Rightarrow d= 0.5\;or -18 \\\\

As the width of the stone border can't be a negative value, so taking the positive value.

Hence, the width of the stone border is 0.5 m.

So, the wi

7 0
3 years ago
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