Answer:
Step-by-step explanation:
Perimeter is the sum of all the sides
Answer:
P = 10y - 3
Step-by-step explanation:
Perimeter is dettermined by adding all the outside surfaces information together.
Watch:
First, set up:
(3y - 2) + (2y + 2) + (2y - 2) + (y) + (2y - 1)
Now add the common alikes.
(3y + 2y + 2y + y + 2y) = 10y
(-2 + 2 - 2 - 1) = -3
Now you have your perimeter.
P = 10y - 3
Answer:
(n ≤ -3) ∪ (-1 ≤ n)
Step-by-step explanation:
I like to "unfold" the absolute value expression by copying the right-side expression to the left side (with the same comparison symbol) and negating its value. I do it this way because I find it easier to work the problem "all at once".
-1 ≥ n +2 ≥ 1
Obviously, -1 ≥ 1 is not true, which means the solution to this inequality will be disjoint sections of the number line. A compound inequality of this nature is generally interpreted to mean the AND of the two inequalities. So, technically, this is an incorrect step. I choose to overlook that, and consider the expression to represent the two inequalities ...
-1 ≥ n +2 . . . OR
n +2 ≥ 1
Subtracting 2 from the above compound inequality gives ...
-3 ≥ n ≥ -1
So, the solution is ...
(n ≤ -3) ∪ (-1 ≤ n)
_____
Further explanation
The inequality symbol negates its content if that content is negative. So, the expression ...
|n+2| ≥ 1
means ...
±(n +2) ≥ 1
This resolves to two cases:
n +2 ≥ 1
and
-(n +2) ≥ 1
The latter case is equivalent to ...
n +2 ≤ -1
which can also be written as ...
-1 ≥ n +2
A more technically correct solution process would identify the two cases and work them separately.
__
In the graph, the red shading (with the solid edge) shows the solution with respect to the numbers on the x-axis. If you were to graph this on a number line, you would put solid dots at -3 and -1, and shade the line to their left and right, respectively. The blue curve shows the absolute value, and the green line shows y=1, so you can see that the shaded areas correspond to the absolute value being greater than or equal to 1.
1 jar of mayo costing £1.80
2 loaves of bread
she pays with a £10 note and gets £1.60 change. Barbra works out that the cost of 1 loaf of bread is £1.40 .
Is she correct? You MUST show your working out
Answer:
No, Barbra is wrong as cost of 1 loaf of bread is £1.50 not $1.40.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Barbara buys 3 boxes of eggs costing £1.20 each
1 jar of mayo costing £1.80
2 loaves of bread
she pays £10 note and gets £1.60 change
Barbara works out the cost of 1 loaf of bread as £1.40.
Is she correct? You MUST show your working out.
The explanation of the answer is now given as follows:
Total cost of 3 boxes of eggs = Number of boxes of eggs bought * Price per box of egg = 3 * £1.2 = £3.60
Cost of 1 jar of mayo = £1.80
Total amount spent = Note paid - Change collected = £10 - £1.60 = £8.40
Total cost of 2 loaves of bread = Total amount spent - Total cost of 3 boxes of eggs - Cost of 1 jar of mayo = £8.40 - £3.60 - £1.80 = £3.00
Cost of 1 loaf of bread = Total cost of 2 loaves of bread / 2 = £3.00 / 2 = £1.50
Therefore, Barbra is wrong as cost of 1 loaf of bread is £1.50 not $1.40.
b. Beneath the tall tree the family ate, a picnic of fruit and muffins.
c. Beneath the tall tree, the family ate a picnic of fruit and muffins.
d. Beneath the tall tree the family ate a picnic of fruit and muffins.
Answer:
80 children
Step-by-step explanation:
(200 * 40) /100 = 80
To solve for 'b' when 'a' = 21 in a direct variation relationship where 'a' = 7 when 'b' = 2, first determine the constant of proportionality. Then, insert 'a' into the formula and solve for 'b'. The solution of 'b' would be 6.
In this scenario, we are given that a varies directly as b, which means we can state this relationship as a = kb, where k is a constant of proportionality. Initially, we're given that a = 7 when b = 2. From this, we can find that k = a / b, so k = 7 / 2 = 3.5. Therefore, our direct variation equation is a = 3.5b.
When a = 21, we can substitute this into the direct variation equation and solve for b. Thus, 21 = 3.5b, and by dividing both sides by 3.5, we can find that b = 6.
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