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lions [1.4K]
3 years ago
10

Find the value of x that makes this statement true

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0
\frac{(-2)^{5x-3}}{(-2)^{2x}} =(-2)^{21}

(-2)^{5x-3-2x}=(-2)^{21}  (The numerator and the denominator has same bases, therefore the powers will get subtracted. It is an exponential property)

(-2)^{3x-3}=(-2)^{21}

3x-3=21  (As the left hand side is equal to right hand side and the bases are on both the sides are equal too, we will equate their exponential power. Another property)

x-1=7

x=8  (After simplifying more, you'll get this)
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A 15% tip on a restaurant bill is $3.60. How much is the bill?
ale4655 [162]

Answer:

$3.60.

Step-by-step explanation:

If you want to tip 15%, then the total tip amount would be $2.40 plus half of that again ($1.20), which is $3.60.

7 0
3 years ago
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A plane can fly 7 miles per minute. The plane will fly 8 trips, and each trip is 810 miles. How many hours will the plane fly? S
ELEN [110]

7*60 = 420

 810/420 = 1.9285

93- 100 = 53-60

subtract 40 from 93. 

1.53*8 = 12.24

Answer: 12 hours and 24 Minutes

If this helps give a brainliest :)

4 0
3 years ago
A publisher sells 10⁶ copies of a new book. Each book sells 10² pages. How many pages total are there in all of the books sold?
KatRina [158]

Answer:

10^12.

Step-by-step explanation:

You need to solve 10^6 * 10^2 without using standard notation. As with variables, if you had x^6 * x^2 you would add the exponents. Replace x with 10. Your answer is 10^8. As a sidenote, only multiply exponents when raising a power to another power, e.g. (10^6)^2 = 10^12.

3 0
3 years ago
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Pls help with this math
Salsk061 [2.6K]

Answer:

44.58

Step-by-step explanation:

v=\frac{4}{3}\pi r^{3}\\ given r= 2.2\\\pi =3.14\\hence:v=\frac{4}{3}  (3.14)(2.2)^3=44.58

5 0
2 years ago
Please help me on my math
s344n2d4d5 [400]

Answer:

m = -8

b = -24

Step-by-step explanation:

To solve this problem use the hint and put this equation in y = mx + b form. This is called slope-intercept form.

In slope-intercept form, the coefficient of x (which is m) is the slope of the line and b is the y-intercept of the line.

  • -32x - 4y = 96

Add 32x to both sides of the equation.

  • -4y = 32x + 96

Divide both sides of the equation by -4.

  • y = -8x - 24

Comparing this to y = mx + b, the -8 is "m" and -24 is "b". Therefore your final answers are:

m = -8

b = -24

5 0
3 years ago
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