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3 years ago

What are the steps to solve, 510=x+.21x-.19x

Mathematics

1 answer:

PtichkaEL [24]3 years ago

4 0

Answer:

500

Step-by-step explanation:

510=x+.21x-.19x

510=(1+.21-.19)X

510=1.02X

X=510/1.02

X=500

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Two ways to solve -2(4x+3)=12x-6

olasank [31]

Answer:

$\huge\boxed{x=0}$

Step-by-step explanation:

$-2(4x+3)=12x-6\qquad\text{divide both sides by (-2)}\\\\4x+3=-6x+3\qquad\text{subtract 3 from both sides}\\\\4x=-6x\qquad\text{add}\ 6x\ \text{to both sides}\\\\10x=0\qquad\text{divide both sides by 10}\\\\\boxed{x=0}\\\\=================================$

$-2(4x+3)=12x-6\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(4x)+(-2)(3)=12x-6\\\\-8x-6=12x-6\qquad\text{add 6 to both sides}\\\\-8x=12x\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\-20x=0\qquad\text{divide both sides by}\ (-20)\\\\\boxed{x=0}$

4 0

4 years ago

A card is drawn from a standard deck and a letter is chosen from the word incredible. What is the probability of drawing a king

Kamila [148]

There is a 4/52 chance of getting a king, because there are 52 cards in a deck, and 4 kings in each. And there is a 2/10 (1/5) chance of getting an i, because there are 2 i's in the word "incredible", and 10 letters (so simplifying that, you would get 1/5).

4 0

3 years ago

Read 2 more answers

At the farmers market a farmer has bunches of radishes for sale. The

stealth61 [152]

Answer:

The probability a random selected radish bunch weighs between 5 and 6.5 ounces is 0.8185

Step-by-step explanation:

The weight of the radish bunches is normally distributed with a mean of 6 ounces and a standard deviation of 0.5 ounces

Mean = $\mu = 6$

Standard deviation = $\sigma = 0.5$

We are supposed to find the probability a random selected radish bunch weighs between 5 and 6.5 ounces i.e.P(5<x<6.5)

$Z=\frac{x-\mu}{\sigma}$

At x = 5

$Z=\frac{5-6}{0.5}$

Z=-2

$Z=\frac{x-\mu}{\sigma}$

At x = 6.5

$Z=\frac{6.5-6}{0.5}$

Z=1

Refer the z table for p value

P(5<x<6.5)=P(x<6.5)-P(x<5)=P(Z<1)-P(Z<-2)=0.8413-0.0228=0.8185

Hence the probability a random selected radish bunch weighs between 5 and 6.5 ounces is 0.8185

6 0

3 years ago

A) A quadrilateral has two pairs of parallel sides and no right angles what two shapes could it be

Vadim26 [7]

Step-by-step explanation:

A. parallelogram & Rhombus

B. trapezium

5 0

3 years ago

Reserve Problems Chapter 4 Section 5 Problem 2 A laptop company claims up to 10.1 hours of wireless web usage for its newest lap

Viktor [21]

Answer:

0.1151

Step-by-step explanation:

Given that a laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes.

If X is the battery life then X is N(9.5, 0.5)

(we convert into one unit for calculations purpose here hours)

a) the probability that the battery life is at least 10.1 hours

= $P(X\geq 10.1)\\=P(Z\geq \frac{10.1-9.5}{0.5} )\\= P(Z\geq 1.2)\\=0.1151$

we get the probability that the battery life is at least 10.1 hours is 0.1151

4 0

3 years ago