Let unknown number be x.
Given,
7x - 8 = 3x + 4
4x = 12
x = 3
Hence, the number is 3.
Answer:
The painting is 42.13 feet above the platform
Step-by-step explanation:
Refer the attached figure .
A particular painting forming an angle of 50 degrees with a camera platform .
∠ABC = 50°
We are also given that the light is 55 feet from the wall where the painting hangs
i.e. AB = 55 feet.
Now we are required to find how high above the platform is the painting. i.e. AC
So, we will use trigonometric ratio :





Thus the painting is 42.13 feet above the platform
Answer:
Chef Rita can feed 20 people with 55 pancakes.
Step-by-step explanation:
We can solve this problem using equivalent ratios. Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:

To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.

We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio. 55 ÷ 22 = 2.5. So, 8 x 2.5 = 20 people.
Here is your answer:
Therefore the answer is "65/88."
Hope this helps!
<span>2.5<span>(<span><span>6x</span>−4</span>)</span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span><span>x
</span></span><span><span><span><span>(2.5)</span><span>(<span>6x</span>)</span></span>+<span><span>(2.5)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span>x</span></span>(Distribute)<span><span><span><span>15x</span>+</span>−10</span>=<span>30x
</span></span><span><span><span>15x</span>−10</span>=<span>30<span>x
</span></span></span><span><span><span><span>15x</span>−10</span>−<span>30x</span></span>=<span><span>30x</span>−<span>30x</span></span></span><span><span><span>−<span>15x</span></span>−10</span>=<span>0
</span></span><span><span><span><span>−<span>15x</span></span>−10</span>+10</span>=<span>0+10</span></span><span><span>−<span>15x</span></span>=<span>10
</span></span><span><span><span>−<span>15x</span></span><span>−15</span></span>=<span>10<span>−15</span></span></span><span>x=<span><span>−2</span><span>3
</span></span></span>Answer:<span>x=<span><span>−2</span><span>3</span></span></span>
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