P = pizza and c =cakes
Last week: 8p + 13c = 134
Today: 28p + 4c = 220
Let’s take the formula for today and subtract 28p from each side to isolate the 4c.
4c = 220 - 28p
Now divide each side by 4
c = (220 - 28p)/4
Simplify to c = 55 - 7p
Now go to the formula for last week, substitute the c for 55-7p
8p + 13(55 - 7p) = 134
8p + 715 - 91p = 134
Simplify to 715 - 83p = 134
Let’s add 83p to each side.
715 = 134 + 83p
Subtract 134 from each side
581 = 83p
Divide each side by 83
p = $7
Answer:
(i) Breadth = 14 cm
(ii) Perimeter = 176 cm
Step-by-step explanation:
Given,
- Area of a rectangle =
cm²
- Length =
cm
(i) Breadth = ?
We know that, Area of a rectangle = length × breadth.
Then,

(ii) Perimeter of a rectangle = 2 (length + breadth)
Then,


Answer:
E. 396/538
Step-by-step explanation:
The probability that the senior selected will not be from High School B given that the senior did not answer colege:
First, what's the probability of not having answered college? This will be out denominator.
P(not choosing college) = 244 + 106 + 188 = 538
Next, what's the probability that a senior in that category is not from HS B? Well, add the probabilities that the senior is in HS A or C:
P(senior is in HS A or C and answered not college) = 49 + 99 + 63 + 83 + 31 + 71 = 396
<u>Our answer is E. 396/538.</u>
Answer:
Deductive reasoning
Step-by-step explanation:
Here, we want to know the kind of reasoning the statement is.
In this question, the kind of reasoning is deductive
In the deductive reasoning type, we go from general cases to specific cases
It is just like saying the reason why there will be hurricanes in the tropics this fall is because there is an hurricane every fall
So we have gone from a general case to give a specific case