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tankabanditka [31]
3 years ago
5

Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

Mathematics
1 answer:
LiRa [457]3 years ago
8 0
(\sqrt{7})^{6x}=49^{x-6} \\
(7^\frac{1}{2})^{6x}=(7^2)^{x-6} \\
7^{\frac{1}{2} \times 6x}=7^{2(x-6)} \\
7^{3x}=7^{2x-12} \\
3x=2x-12 \\
3x-2x=-12 \\
x=-12
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M-(10)=-20
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2 years ago
maria purchased a new jacket for 78.12. the orginal price of the jacket was discounted 20% and Maria had to pay 5% sales tax. wh
prohojiy [21]
20 percent of the discount minus 5 percent sales tax equals to 15 percent.
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7 0
3 years ago
I’m confused :( I will mark as Brainliest and give you points
Ludmilka [50]

Answer:

123.5 square inches

Step-by-step explanation:

Given: To find the area of a rectangle, you have to multiply base times height.

To find the area of a triangle, you have to do base times height devided by 2.

Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you <u>91in</u> square for the rectangle.

Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2,  you do 5in•6.5in=32.5in. 32.5in divided by 2 is <u>16.25in </u>square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.

We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=<u>32.5in</u> square for both of the triangles.

Now we add it all up: 32.5+91=123.5 square inches

8 0
3 years ago
Out of the 120 students at a summer camp, 72 signed up for canoeing. There were 23 students who signed up for trekking, and 13 o
Virty [35]
Approx - 10% 


72 students signed up for canoeing + the 23 students who signed up for trekking + the 13 students who signed up for both = 108 students 

there are 120 students total, so you have to subtract 120 - 108 = 12 

Now to find the percentage, you have to divide the number of students who didn't sign up for either, by the total 

which is .1 = 10/100 = 10% 
6 0
3 years ago
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Ans123

Step-by-step explanation:

sure what the zoom

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