Half the quotient of a number and 3 is ten. find the number.

The formula c = √a^2 + b^2 represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equa

Eduardwww [97]

Answer:

b = √(c^2 - a²)

Step-by-step explanation:

Start with the given c = √a^2 + b^2. Squaring both sides, we get:

c² = a² + b².

We want to iosolate b² and then b.

So: subtract a² from both sides, resulting in:

c² - a² = b²

Taking the square root of both sides, we get:

√b² = √(c² - a²)

and so:

b = √(c^2 - a²)

7 0

3 years ago

Which best describes what is happening in section b ?

levacccp [35]

D, he is moving at a constant spees

3 0

2 years ago

Solve for x. Write the smaller solution first, and the larger solution second.

xeze [42]

Answer:

x= 1 or x=7

Step-by-step explanation:

2 x 2− 16 x + 14 =0

2 (x−1) (x−7)=0

x−1=0 or x−7=0

x=1 or x=7

4 0

3 years ago

Read 2 more answers

Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the

xxTIMURxx [149]

Answer:

Q1) Final cost = y*0.85*1.05

Q2) Perimeter = 0.1*x - 16

Q3) One over five ( m - 100)

Step-by-step explanation:

We are given three question as follows:

Q1) Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Solution:

Note: The effect of each percentage on original price is as follows, where y is the original price of the DVD:

Discount of 15 % = Price reduced by 0.15*y

Sales Tax of 5% = Price increased by 0.05*y

- The resulting prices from each percentage is:

Amount left after discount = y - 0.15*y = 0.85*y

Amount after tax = y + 0.05*y = 1.05*y

- The factors of each affect are:

Factor of discount = 0.85

Factor of Tax = 1.05

Hence, The factors are multiplied by the original cost to get the combined effect as follows:

Answer: Final cost = y*0.85*1.05

Q2) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5*x + 9, 3x, and - 3.4*x - 25.

Solution:

The perimeter of the triangle is the sum of all 3 sides given:

Perimeter = (0.5*x + 9) + (3x) + ( -3.4*x - 25 )

Perimeter = (0.5*x + 3x - 3.4x) + ( 9 - 25 )

Answer: Perimeter = 0.1*x - 16

Q3) Which expression is equivalent to one over five*m − 20?

Solution:

- Re-write expression:

(1 / 5)*m - 20

Take LCM of the denominator:

(m - 100) / 5

Answer: One over five ( m - 100)

7 0

3 years ago

Read 2 more answers

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gen

Aleksandr-060686 [28]

Let X be the number of boys in n selected births. Let p be the probability of getting baby boy on selected birth.

Here n=10. Also the male and female births are equally likely it means chance of baby boy or girl is 1/2

P(Boy) = P(girl) =0.5

p =0.5

From given information we have n =10 fixed number of trials, p is probability of success which is constant for each trial . And each trial is independent of each other.

So X follows Binomial distribution with n=10 and p=0.5

The probability function of Binomial distribution for k number of success, x=k is given as

P(X=k) = $(10Ck) 0.5^{k} (1-0.5)^{10-k}$

We have to find probability of getting 8 boys in n=10 births

P(X=8) = $(10C8) 0.5^{8} (1-0.5)^{10-8}$

= 45 * 0.0039 * 0.25

P(X = 8) = 0.0438

The probability of getting exactly 8 boys in selected 10 births is 0.044

8 0

3 years ago