Answer: A) 6250, 2500
<u>Step-by-step explanation:</u>
Factor the numbers. What they have in common is the GCF.
The GCF times everything leftover is the LCM.
6250: 5 × 5 × 5 × 5 × 5 × 2
2500: 5 × 5 × 5 × 5 × 2 × 2
What they have in common is the GCF:
6250: <u>5 × 5 × 5 × 5</u> × 5 × <u>2</u>
2500: <u>5 × 5 × 5 × 5</u> × 2 × <u>2</u>
GCF = 5 × 5 × 5 × 5 × 2 = 1250
GCF times everything leftover is the LCM:
6250: 5 × 5 × 5 × 5 × <u>5</u> × 2
2500: 5 × 5 × 5 × 5 × <u>2</u> × 2
LCM: 1250 × 5 × 2 = 12500
Our equation: 33x + 10 = 5 - 2x
Step 1:
To solve for x, we need to remember to isolate the variable (that is our way to solve for x). To do that, we add 2x on the right side of the equation to cancel -2x out. Then, we add 2x on the left of the equation. The equation becomes:
Step 2:
We subtract 10 from both sides (to cancel out the 10 on the left). Equation:
Step 3: Divide 35 on both sides to get our x value.
Answer: 
Hope this helps!
Answer:
Step-by-step explanation:
The probability that you make one shot is 70%, or 0.7.
The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249
The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.
MSSSSSSSSS
SMSSSSSSSS
SSMSSSSSSS
and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is
(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821
Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get
0.0282475249 + 0.121060821 = 0.1493083459
Answer:
no. of packs in one box = 18
no. of boxes = 7
total no. of packs of socks = 18*7
=126
From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at brainly.com/question/24808124
