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marysya [2.9K]
3 years ago
11

Find the numerator of the equivalent fraction with the denominator 12x - 2/3

Mathematics
1 answer:
Arada [10]3 years ago
8 0
The numerator should be 8x
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Solve the equation. Please show working :D :)<br> 1/2y-21/4=-35/4 for y
Ganezh [65]
Let's solve your equation step-by-step.<span><span><span><span>1/2</span>y</span>−<span>21/4</span></span>=<span><span>−35/</span>4</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>12</span>y</span>+<span><span>−21/</span>4</span></span>=<span><span>−35/</span>4</span></span>Step 2: Add 21/4 to both sides.<span><span><span><span><span>1/2</span>y</span>+<span><span>−21/</span>4</span></span>+<span>21/4</span></span>=<span><span><span>−35/</span>4</span>+<span>21/4</span></span></span><span><span><span>1/2</span>y</span>=<span><span>−7/</span>2</span></span>Step 3: Multiply both sides by 2.<span><span>2*<span>(<span><span>1/2</span>y</span>)</span></span>=<span>2*<span>(<span><span>−7/</span>2</span>)</span></span></span><span>y=<span>−7</span></span>Answer:<span>y=<span>−<span>7</span></span></span>
6 0
3 years ago
A stained glass window is going to be installed in a semi-circular opening, which is above a 30 inch wide door. If the stained g
xenn [34]
The answer is <span>$494.55</span>

Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = </span>π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches

So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²

The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²

Since  the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
4 0
3 years ago
Ms. Estrada plans to take 36 chocolate chip cookies to sell at a bake sale. She wants to bake enough to keep at least 24 cookies
Kruka [31]

Answer:

36-x≥24

Step-by-step explanation:

4 0
2 years ago
How do the areas of the parallelogram compare?
IrinaK [193]
The first choice is right, area of 1 is 20, area of 2 is 16
5 0
3 years ago
Read 2 more answers
11/(x+9)=5<br> I am struggling with this question. Is there a solution?
maks197457 [2]

Answer:

x=-6.8

\\ step \: by \: step \: explanation \\  \frac{11}{(x + 9)}  = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x =  - 34 \\ x =   \frac{ - 34}{5}  =  - 6.8

8 0
2 years ago
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