Answer:
plot (0,7) then move up 2 because it's positive and keep going up and down the same amount then put the line
the answer to the set of graphs is A
6.
Josef receives 3$ per hour spent doing chores. So, after x hours of chores, he receives 3x dollars. This money must be added to the 10$ he would receive no matter what, so the total expression is

7.
We can test the options against the given patterns: in pattern 1, we have one black hexagon and 6 white hexagons. Let's see which equations fit: if we substitute b=1 and w=6 we have:
A)
- ok
B)
- wrong
C)
- ok
D)
- wrong
E)
- wrong
So, the only feasible answers are A or C, because all the other functions don't fit even the first pattern. Let's test the two survivors for pattern 2: we have two black hexagons and 8 white hexagons. Plugging b=2 and w=8 into A and C we have
A)
- wrong
C)
- ok
So, the answer is C, because it models correctly pattern 2 as well. For the sake of completeness, let's test this function against pattern 3 as well: we have 3 black and 10 white hexagons. Plugging b=3 and w=10 into C we have
C)
- ok
So, C models correctly all patterns, and thus describe the general rule.
To solve this problem, simply use one variable to represent the number of students in each of the 2 classes.
1st class - X = no of students
2nd class - X + 6 no of students
Both classes : X + X + 6 = 50
2X + 6 = 50
2X = 44
X = 22.
1st class - X = 22 students
2nd class - X + 6 = 22 + 6 = 28 students.
There are 28 students in the larger class.
Answer:
The extremes are 5 and 64.
The middle terms are 80 and 4.
Step-by-step explanation:
Given the proportion:
5 : 80 :: 4 :64
To find:
The extreme and middle terms of the given proportion.
Solution:
The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.
OR
First number
Fourth number = Second number
Third number
First of all, let us check the two products.
5
64 = 320
And the second product:
80
4 = 320
The product is same therefore, the given numbers are in proportion.
The extreme terms are the first and the fourth numbers.
i.e. The extremes are 5 and 64.
The middle terms are 80 and 4.