Answer:
standard form to represent the situation equation is 5a + 4.75b = 72.50
Step-by-step explanation:
given data
selling popcorn = $5.00
hotdogs = $4.75
makes = $72.50
solution
we consider here number of bucket sold = a
and number of hotdogs sold = b
Then after 1 hour she makes $72.50
equation for number of popcorn and number of hotdogs sold after an 1 hour is express as
$72.50 = number of bucket sold × price of popcorn per bucket + number of hotdogs sold × price of hotdog ...............................1
put here value and we get
72.50 = 5 × a + (4.75) × b
5 a + 4.75 b = 72.50
so here equation is equivalent to the standard form in the linear equation that is express ( Ax + By = C )
and here A and B are non zero with A, B and C all three are real number
so standard form to represent the situation equation is 5a + 4.75b = 72.50
Answer:
Step-by-step explanation:
Given that a study found that the average stopping distance of a school bus traveling 50 mph was 264 feet.
Sample taken showed the following results

Since population std deviation is known and sample size is large, z test can be used.

(Left tailed test)
Mean difference = 
Std error = 
Z = test statistic = mean diff/std error
= 
p value = 0.00017
Since p < alpha our 0.05 we reject null hypothesis
There is evidence to show that mean is less than 264 feet
(Assumptions:
Sample are randomly drawn
Sample represents the population
H=height of ostrich
k=height of kiwi
h is 20 more than 4 times k
k=20+4k
k=108
108=20+4k
minus 20 from both sides
88=4k
divide both sides by 4
22=k
answer is A
Answer:
< 1 = 125 degrees
< 2 = 55 degrees
< 3 = 125 degrees
< 4 = 55 degrees
< 5 = 125 degrees
< 6 = 55 degrees
< 7 = 125 degrees (given)
< 8 = 55 degrees
Step-by-step explanation:
1 and 3 are equal because they are vertical angles, therefore proving their congruence.
7 and 1 are equal because they're alternate exterior angles, which are congruent.
2 and 4 are vertical, which is congruent.
5 and 7 are vertical.
6 and 8 are vertical.
It can't be f(1) = 1 because a function can't have two images on the same x.