Find the area of the circle. Approximate to 2 decimal places and use 3.14 for π.

Determine which of the ordered pairs are a part of the solution set of y + 3 < 2x (0, –4)

lorasvet [3.4K]

Answer:

(2,0) and (2,-2)

Step-by-step explanation:

y+3<2x

(2,0) is solution because 0+3<2*2, 3<4 and

(2,-2) because - 2+3<2*2, 1<4

5 0

3 years ago

Read 2 more answers

this is the rust of the questions please please some one helps me because I really try my best to solve it . thank you

lyudmila [28]

Answer:

x = 24.

r $\ne$ 0.

Step-by-step explanation:

2. The given equation is:

$\frac{1}{2} (x - 4) = \frac{1}{3} x + 2$

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.

b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.

c) We have the equation:

$\frac{1}{2} (x - 4) = \frac{1}{3} x + 2$

Multiplying throughout by 6, we get:

$\frac{6}{2}(x - 4) = \frac{6}{3} x + 6(2)$

$\implies 3(x - 4) = 2x + 12$

$\implies 3x - 12 = 2x + 12$

$\implies x = 24$

Therefore, the solution of the equation is 24.

3. The given equation is: $ry + s = tx - m$

To solve for y:

We can rearrange the equation as:

$ry = tx - m - s$

$\implies y = \frac{tx - m - s}{r}$

or, $y = \frac{tx - (m + s)}{r}$

Note that we have to impose a condition on variable $r$ . It would be that $r$ can never be zero. i.e., $r \ne 0$ . Otherwise, the value of $y$ would be undefined.

4 0

3 years ago

Find the greatest common factor of 6 and 15. a. 6 b. 3 c. 4 d. 2

Olin [163]

Answer:

3

Step-by-step explanation:

Greatest common factor (GCF) of 6 and 15 is 3. We will now calculate the prime factors of 6 and 15, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6 and 15.

Hope this helps

8 0

2 years ago

Read 2 more answers

0.8y+0.25= -0.4 Solve for y

disa [49]

Answer:

y = -13/16

Step-by-step explanation:

Given:

0.8y+0.25= -0.4

To Find:

Solve for y

Solution:

Multiply both sides by 100

$0.8y\cdot \:100+0.25\cdot \:100=-0.4\cdot \:100$

Simplify

$80y+25=-40$

Subtract 25 from both sides

$80y+25-25=-40-25$

Simplify

$80y=-65$

Divide both sides by 80

$\frac{80y}{80}=\frac{-65}{80}$

Simplify

$y=-\frac{13}{16}$

Thus, y = -13/16

or in decimal form it equal y = -0.8125

~Lenvy~

7 0

2 years ago

Read 2 more answers

Which of these values cannot represent the probability of an event happening?

ololo11 [35]

Answer:

D.

Step-by-step explanation:

The last option, 1.2, cannot represent the probability of an event happening since it is more than 100% (120%). And event cannot have a higher probability of happening than "happening".

A. 0.33 is a valid response, since it represents 33%.

B. 56% is also a valid response.

C. 7/8 is also a valid response since it represents 0,875 or 87,5%.

Hope it helped,

BiologiaMagister

6 0

2 years ago

Read 2 more answers