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agasfer [191]
3 years ago
12

5(9-x)/3 +1 less than 11find x​

Mathematics
1 answer:
Lunna [17]3 years ago
5 0

Answer:

x > \frac{1}{5}

Step-by-step explanation:

\frac{5(9-x)}{3+1}

Add 3 and 1 to get 4.

\frac{5(9-x)}{4}

Use the distributive property to multiply 5 by 9−x.

\frac{45-5x}{4}

Subtract  45/5 from both sides.

-\frac{5}{4}x

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

-\frac{5}{4} x

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

x>-\frac{1}{4} (-\frac{4}{5} )

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

x>\frac{-(-4)}{4 x 5}

x>\frac{1}{5}

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Snowcat [4.5K]

Answer:

x is 70°

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1 year ago
The ratio of the number of math books to the number of comic books on a shelf is 7:3. There are 21 comic books on the shelf. Fin
Sauron [17]

Answer:

There are 49 math books on the shelf.

Step-by-step explanation:

math books : comic books

       7           :         3

       x           :        21

21÷3=7

7*7=49

x=49

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3 years ago
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Simplify the expression. Give your answer using a positive exponent. <br><br> 8^-2
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5 0
4 years ago
The function g(x) is defined by the equation g(x) = -3x² + x - 1.<br> Which is the value of g(1)?
Nutka1998 [239]

Answer:

-3

Step-by-step explanation:

g(1) = -3x² + x - 1

      = -3(1^{2}) + 1 -1

      = -3(1) + 1 - 1

      = -3 +1 -1

g(1) = -3

Just put the 1 everywhere you see an x.

Solve

6 0
3 years ago
What is the equation of a circle with a center located at (4,-1) and a radius of 9
lbvjy [14]

The equation for a circle with the given information would be (x - 4)^2 + (y + 1)^2 = 81.

This is because the base form of a circle is:

(x - x1)^2 + (y - y1)^2 = r^2

In which, x1 is the x coordinate of the center and y1 is the y coordinate of the center. r is the radius of the circle. So we plug in to those and simplify.

(x - 4)^2 + (y - -1)^2 = 9^2

(x - 4)^2 + (y + 1)^2 = 81

5 0
3 years ago
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