Answer:
I hope this image and explanation helps you!
Step-by-step explanation:
All students in the eighth grade were surveyed, so we can make the valid conclusion that 18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast.
However, the question did not ask about the students' favorite meal of the day, so we cannot draw any valid conclusions about the students' favorite meal.
The valid conclusion:
18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast, but we cannot conclude anything about the percent of the population who have breakfast as their favorite meal.
Answer:
amount of pepper required= 7.5 tsp
amount of garlic powder required = 30 tsp
Step-by-step explanation:
Given,
amount of salt used for small batch of the recipe = 2 tsp
amount of pepper used for small batch of the recipe = 1 tsp
amount of garlic powder used for small batch of the recipe = 4 tsp
amount of salt used for the larger batch = 15 tsp
= 2 x 7.5 tsp
= amount of salt used for small batch the recipe x 7.5
So,
the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe
= 7.5 x 1 tsp
= 7.5 tsp
the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe
= 7.5 x 4 tsp
= 30 tsp
Let x represent gallons of $19 paint
let y represent gallons of $3 paint
first you make your 2 equations
x+y=16, y=16-x
(19x+3y) ÷ 16 = 14
then you use substitution
14 = (19x + 3(16-x) ) ÷16
224 = 19x + 48 - 3x
176 = 16x
11 = x, so there's 11 gallons of $19 paint
recall that x+y=16
11+y=16
5=y
so there are 11 gallons of $19 paint and 5 gallons of $3 paint
Answer:
Option C
+ or - 3
Step-by-step explanation:
A quadratic equation will have equal roots if its Discriminant is equal to zero.
the discriminant in this case is 
considering the equation,

a = 9, b= 8k, c=8
Replacing the variables in the original equation with their respective values, we will have:

Note: The values of k are meant to be + or -2.12 as seen from the workings
However, these are not in the options given. the closest choice to it
is + or - 3
<u>Answer:</u>
The value of variable "m" in the equation 803 divided by 73 = m is equal to 11.
<u>Solution:</u>
Need to find the variable in the given equation 803 divided by 73 = m
That means need to solve below expression to determine value of variable m.

So let’s solve left hand side to get the value of m.
For sake of simplicity let’s do factorization of numerator and denominator and remove the common terms in numerator and denominator.

Hence value of variable m is equal to 11.