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Nuetrik [128]
3 years ago
11

8/3x + 1/3x =13 1/3+5/3x

Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

x=10

Step-by-step explanation:

8/3x + 1/3x =13 1/3+5/3x

8/3x + 1/3x =40/3+5/3x

8x+x=40+5x

9x=40+5x

9x-5x=40

4x=40

x=10

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84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value
Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) x^{-3/2}

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

x^{-3/2}=\frac{1}{x^{3/2} }

And now, solving for x = 9 we have:

\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} }  =\frac{1}{27}

b) y^{4/3}

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

y^{4/3}=8^{4/3}=16

c) z^{-3/4}

Using the same property we used in a) we have:

z^{-3/4}=\frac{1}{z^{3/4} }

And now, solving for z = 16 we have:

\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}

4 0
3 years ago
Find the distance between points P(9,8) and Q(7,6) to the nearest tenth.
sergey [27]

Answer:

2.8 units

Step-by-step explanation:

Think of this distance as the hypotenuse of a right triangle that has a vertical leg and a horizontal one as well.

Going from P to Q, the change in x is 2 and the change in y is also 2.

Thus, by the Pythagorean Theorem, this desired distance is:

d = √(2^2 + 2^2) = 2√2 units, or 2.8 units

6 0
3 years ago
In ΔKLM, the measure of ∠M=90°, the measure of ∠L=18°, and KL = 8.3 feet. Find the length of MK to the nearest tenth of a foot.
const2013 [10]

Answer:

2.6 ft

Step-by-step explanation:

8.3/sin 90 = MK/sin 18

MK = 8.3 sin 18 / sin 90

MK = 2.6 ft

7 0
4 years ago
Lines e and fare parallel. The m29 = 80° and m25 =
otez555 [7]
I have the same question can someone help
3 0
3 years ago
Solve the inequality. –8 ≤ 2x – 4 < 4
Nostrana [21]
First;
-8≤2x-4
-4≤2x
-2≤x

Then;
2x-4<4
2x<8
x<4

-2≤x<4
C is the correct answer.
4 0
3 years ago
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