Answer:
50% pen first box and 62.5% crayon from second box
Step-by-step explanation:
The first box contains 4 items, 2 of each. This means there are pens. This gives you a chance of picking out a pen. This can be written as 50%.
The second box contains 8 items, 3 color pencils and 5 crayons. This means of the contents are crayons, meaning you have a or 62.5% chance of picking a crayon.
*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.
**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!
Answer: A
Step-by-step explanation: The slope of perpendicular lines is opposite reciprocal. In this case the slope would be 4/3. Plug in for x and y, you get -7 for b.
- y = mx +b
- 9 = 4/3 (12) + b
- 9 = 16 + b
- -7 = b
Rewrite the equation --> y = 4/3x - 7
Functions cannot have different values of y for the same value of x. Now let us check each case one at a time.
<u>First Case:</u> For the same value of x=-1, y has two different values of 7 and 1, which is not allowed in a function. Therefore, the first case is not a function.
<u>Second Case:</u> For the same value of x=-1, y has two different values of -5 and 1, which is not allowed in a function. Therefore, the second case is not a function.
<u>Third Case:</u> For the same value of x=3, y has two different values of 2 and 4, which is not allowed in a function. Therefore, third case is not a function.
<u>Fourth Case:</u> In this case no value of x is same. So, this is a function.
<u>Answer:
</u>
Billy Bob’s farm is 80 m north of his house. The farms pond is 120 m west of the house. So the distance between the pond and the farm is 144.42 m.
<u>
Solution:
</u>
From question, given that billy bob’s farm is 80 m north of his house and pond is 120 m west of the house.
The given can be represented using the diagram given below:
where,
“a” indicates the distance between the house and the pond
“b” indicates the distance between the house and the farm
“c” indicates the distance between the farm and the pond.
For a right angled triangle, by Pythagoras theorem,
= 20800
Taking square root on both sides, we get
= 144.22 m
Hence the distance between the pond and farm is 144.22 m
Answer:
4.17
Step-by-step explanation:
6000x = 25000
x = 25000 / 6000
x = 4.17