Answer:
c)No, P is the distance from A to B, and Q is the distance from B to A.
Step-by-step explanation:
Point P partitions the directed segment from A to B into a 1:3 ratio.
Ratio is 1:3
So AP is 1 and PB is 3
Q partitions the directed segment from B to A into a 1:3 ratio.
Ratio is 1:3
So BQ is 1 and QA is 3.
That is AQ= 3 and BQ= 1
The ratio of Q and P varies
AP =1 and AQ=3
So P and Q are not at the same point.
Because P is the distance from A to B and Q is the distance from B to A
Answer:
The number of strawberry baskets sold was 44
Step-by-step explanation:
Let
x ----> the number of strawberry baskets sold
y ---> the number of raspberries baskets sold
we know that
In one morning, Katya sells 96 baskets for $644
so
----> equation A
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (44.52)
see the attached figure
therefore
The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52
Answer:
(negative 7 x + 4)(negative 7 x minus 4)
Step-by-step explanation:
Consider two real numbers a and b. A difference of squares involving a and b is usually given as;

The difference of the two squares above can be factored to yield;

This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.
The expression;
(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)
( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)
Expanding the last expression yields;
-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares
Answer:
Approximately 4 loaves of bread.
Step-by-step explanation:
Let us get out the total amount of flour that Josh has first of all. This is
cups of flour.
Each lof requires
cups of flour. This means that to make a loaf, he will be taking out this quantity of flour from the whole lot.
To get the total number of loaves he can make with this quantity of flour, we will have to divide the total quantity of flour available by the quantity required to make a single loaf.
This will be
÷
=
. This is approximately 4 loaves of bread
Answer:
15 miles per hour
Step-by-step explanation:
First, lets find the number of miles he goes in 1 minutes.
That would be found by dividing the number of miles (12) by the number of minutes (48), so we have:
12/48 = 0.25 miles per minute
We want the speed in miles PER HOUR.
So, how many minutes are in an hour??
That is 60 mins = 1 hr
So, we need to multiply this by 60.So,
0.25 miles per minute * 60 minutes (1 hr) = 15 miles per hour