Answer: $9
Step-by-step explanation:
Let the cost for adults be a
Let the cost for students be b.
The first van transported 2 adults and 5 students and cost $77. This will be:
2a + 5b = $77
The second van transported 2 adults and 7 students and cost $95. This will be:
2a + 7b = $95
2a + 5b = 77 ...... equation i
2a + 7b = 95 ........ equation ii
Subtract equation ii from I
-2b = -18
b = 18/2
b = $9
An student cost $9
Put the value of b into equation i
2a + 5b = 77
2a + 5(9) = 77
2a + 45 = 77
2a = 77 - 45
2a = 32
a = 32/2
a = 16
An adult costs $16
Answer:
what is the question
Step-by-step explanation:
Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) 
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)
Using:
So, we have:
The equation is calculated using:
Using:
We have:
Make y the subject
Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:
STEP 1:
BAGS OF FOUR
find number of bags needed to total 74 apples
= 74 ÷ 4 apples/bag
= 18.5 bags
*must round up to 19 bags because we cannot buy a partial bag
STEP 2:
BAGS OF FOUR
calculate price of 19 bags of 4 apples per bag
= 19 bags * $5/bag
= $95 for 19 bags of 4 apples/bag
STEP 3:
BAGS OF SIX
find number of bags needed to total 74 apples
= 74 ÷ 6 apples per bag
= 12.3333 bags needed
*must round up to 13 bags because we cannot buy a partial bag
STEP 4:
BAGS OF SIX
calculate price of 13 bags of 6 apples per bag
= 13 bags * $7 per bag
= $91 for 13 bags of 6 apples/bag
ANSWER: The smallest cost to buy 74 apples is $91.
Hope this helps! :)
Answer:
Step-by-step explanation:
Those are the side lengths not the angles so I'm not sure, also are you sure that's right? I believe there has to be a hypotenuse and the hypotenuse is the sum of the two shorter sides added together.
Do you have any more information? I can try to help :)
