eight out of 10 dentist prefer Crest toothpaste.What is the ratio of dentist whi prefer Crest to those who do

If x and y are two positive real numbers such that x 2 +4y 2 =17 and xy =2, then find the value of x- 2y. a. 3 b. 4 c. 8 d. 9

Dafna11 [192]

Answer: The value of x- 2y is a. $\pm 3$ .

Step-by-step explanation:

Given: x and y are two positive real numbers such that $x^2+4y^2=17$ and $xy= 2$ .

Consider $(x-2y)^2=x^2-2(x)(2y)+(2y)^2\ \ \ [(a+b)^2=(a^2-2ab+b^2)]$

$=x^2-4xy+4y^2$

$=x^2+4y^2-4(xy)$

Put $x^2+4y^2=17$ and $xy= 2$ , we get

$(x-2y)^2=17-4(2)=17-8=9$

$\Rightarrow\ (x-2y)^2=9$

Taking square root on both sides , we get'

$x-2y= \pm3$

Hence, the value of x- 2y is a. $\pm 3$ .

7 0

1 year ago

-3x + 2c = -3, solve for x

xxMikexx [17]

Answer:

x=2c/3+1

Step-by-step explanation:

Subtract 2c from both sides.

−3x=−3−2c

The equation is in standard form.

−3x=−2c−3

Divide both sides by −3.

-3x/-3=-2c-3/-3

Dividing by −3 undoes the multiplication by −3.

x=-2c-3/-3

Divide −3−2c by −3.

x=2c/3+1

6 0

1 year ago

The ticker shows trades of stock in Hewlett-Packard (HPQ) ExxonMobil (XOM) and Chevron CTX).

frutty [35]

Question Completion:

Joon bought the shares at this price, and her broker charged her 1% commission. What was the total cost of her investment?

Regne sold the shares of ExxonMobil shown in the above trade and his broker charged him 1.5% commission How much money did the broker receive?

Lisa sold the shares of Chevron indicated above through her discount broker, who charges $28 per transaction. How much did Lisa receive from the above after the broker took his fee.

Answer:

Trades of Stock in Hewlett-Packard (HPQ) ExxonMobil (XOM) and Chevron CTX)

a. Shares of Hewlett-Packard sold = 6,000 (6K)

b. The total value of all the HP shares sold is $63,780.

c. Total cost of Joan's investment is $64,417.80.

d. Regne's broker received a commission of $3,677.40.

e. Lisa received $760,022.

Step-by-step explanation:

a) Data and Calculations:

Hewlett-Packard (HPQ) ExxonMobil (XOM) Chevron CTX)

HPQ 6K10.63 ∨0.23 XOM 3K81.72 ∧ 0.08 CVX 9K84.45 ∨0.22

b) The total value of all the HP shares sold is 6,000 * $10.63

= $63,780

c) Joan's investment:

Investment = $63,780

Broker's commission = 1% = $637.80

Total cost of Joan's investment = $64,417.80 ($63,780 + $637.80)

d) Regne Broker's Commission:

Investment = $245,160 (3,000 * $81.72)

Commission = $3,677.40 ($245,160 * 1.5%)

e) Lisa received from Chevron's stock sale:

Investment = 9,000 * $84.45 = $760,050

Broker's fee = $28

Lisa's receipt = $760,022 ($760,050 - $28)

8 0

1 year ago

Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*

nasty-shy [4]

Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% $\cdot35$ .

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, $\frac{5}{100}$ . Multiplying by 35 gets us $\frac{5}{100}\cdot35$

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is $\frac{5}{100}$ . This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.<u>0</u><u>5</u>

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us $0.05\cdot35$ , so choice D works too.

Hope this helped!

3 0

1 year ago

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azul is planting a vegetable garden. he is using a bag of marbles to determine how many of each veggie to plant. his bag contain

kaheart [24]

1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
P(x)=80/200
P(x)=0.4

3. This problem can be represented by a binomial distribution, where:

P=0.4
q=1-P=0.6
n=50

4. The expect value in a binomial function is written as below:

E(x)=nxP
E(x)=50x0.4
E(x)=20

The answer is: He can expect 20 zucchini.

3 0

1 year ago

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