Answer:
not a solution
Step-by-step explanation:
Substitute p = - 2 into the left side of the equation and if equal to the right side then it is a solution.
7(- 2) - 5 = - 14 - 5 = - 19 ≠ 20
Then p = - 2 is not a solution of the equation
Answer:
We have to put the data for purchased item in a frequency table.
Step-by-step explanation:
The diagram is attached below.
Firstly we have to see that how many customers fall under range 
.
Then 
.
Then 
.
Finally
.
If we go through the items purchased by customers we can see that item ranges from have 
customers.
Item purchased range from have 
customers.
Item purchased range from have 
customers.
Item purchased range from have 
customers.
Total number of customers = 
As we have total number of customers and they have varied quantity of items purchased.
Answer: 11 muffins
Step-by-step explanation:
Since Maria mixes 1/4 cup white sugar with 2/3 cup brown sugar, this will give us a mixture of:
= 1/4 + 2/3
= 3/12 + 8/12
= 11/12
Ww are then told that she uses 1/12 cup of the mixture to top each muffin. Therefore, the number of muffins that she can top will be:
= 11/12 ÷ 1/12
= 11/12 × 12/1
= 12
She can top 11 muffins.
Answer:
1/8
Step-by-step explanation:
I'm going to try to explain this as easy as possible. What I did was take the original shape and divide it by the new shape. For this question, I solved it by dividing 32(the original base) by 4(the new base) and got 8. So the scale factor of the reduction was 1/8.
A rectangle is a quadrilateral with either two opposite sides equal and parallel to each other. That is AB is parallel and equal to CD and AD parallel and equal to BC. Parallel lines have equal slopes.
Thus, AB slope is 2, while that of CD is also 2, therefore they are parallel to each other. In addition the modulus of AB and that of CD is the same thus they are equal in length.
AD slope is -1/2 while that of BC is also -1/2 therefore the two are parallel to each other. In addition they are equal in length therefore they are equal in length.
Moreover AB is perpendicular to BC and AD (product of slope of two perpendicular lines is -1)
Therefore, it can be concluded that Quadrilateral ABCD is a rectangle.
