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Zina [86]
3 years ago
9

8^x=2 write down the value of x

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

x = \frac{1}{3}

Step-by-step explanation:

Using the rule of exponents

a^m^{n} = a^{mn}

Note that 8 = 2³ and 2 = 2^{1}, then

(2^3)^{x} = 2^{1}, that is

2^{3x} = 2^{1}

Since the bases on both sides are equal, equate the exponents

3x = 1 ( divide both sides by 3 )

x = \frac{1}{3}

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James ran 4 laps and walked 2 laps When running his average speed was 2.5 minutes per lap When walking his average speed was 4.9
lutik1710 [3]

Answer:

19.8 minutes

Step-by-step explanation:

Total time the 4 laps was completed = 4 x 2.5 = 10 minutes

Total time the 2 laps was completed = 2 x 4.9 = 9.8 minutes

total time = 10 minutes + 9.8 minutes = 19.8 minutes

5 0
3 years ago
Josaya takes out a loan of $215000 to purchase a car. the bank charges him 5.2% compounded quarterly on this loan. if he pays ba
timofeeve [1]
215,000 x 5.2% =11,180 quarterly compounded interested
quarter = 4 theres 4 quarters in a year
3years x 4 quarters= 12 quarters
12 quarters x 5.2% of 215,000 =
134,160(compounded interested)+ 215,000(money he owes) =
349,160 

8 0
4 years ago
Which of the following orderd pairs is a solution of 3x+2y=-19<br>7,-1<br>6,-7<br>-6,-7<br>-7,1​
mr Goodwill [35]
-7,1 would be your answer.
3 0
3 years ago
A single gram of a certain metallic substance has 0.52 g of copper and 0.25 g of zinc the remaining portion of the substance is
andrezito [222]
Ben's estimate gives 7 g of nickel; the actual amount is 8.03 g.

In 1 g of the substance, there is 0.52 g of copper and 0.25 g of zinc; this gives 
0.52+0.25 = 0.77 g of the substance.

The remaining part of the substance is nickel:
1-0.77 = 0.23 g of nickel.

Using Ben's estimate, 0.2 g of nickel per gram of substance, we have
0.2(35) = 7 g of nickel in 35 g of the substance.

The actual amount is 0.23(35) = 8.03 g of nickel in 35 g of the substance.
6 0
3 years ago
The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

x + y = 0.70x * 2

x + y = 1.40x

Collect like terms

1.40x - x = y

0.40x = y

Make x the subject

x = \frac{y}{0.40}

x = 2.50y

So, the average is:

Average = (1 - 30\%) * x

Average = (1 - 30\%) * 2.50y

Average =0.70 * 2.50y

Average =1.75y

Rewrite as:

Average =(1 + 0.75)y

Express as percentage

Average =(1 + 75\%)y

This means that the average is 75% bigger than the second number

6 0
3 years ago
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