Answer:
Sheridan's Work is correct
Step-by-step explanation:
we know that
The lengths side of a right triangle must satisfy the Pythagoras Theorem

where
a and b are the legs
c is the hypotenuse (the greater side)
In this problem
Let

substitute

Solve for b





we have that
<em>Jayden's Work</em>


substitute and solve for c





Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle
<em>Sheridan's Work</em>


substitute

Solve for b





therefore
Sheridan's Work is correct
Step-by-step explanation:
Answer: 16 and 5/4 tbsp of sugar.
7 ÷ 2 = 3.5
Don't worry about the decimal for now, just find how many tbsp of sugar she needs for 6 tbsp of milk.
6 ÷ 2 = 3
3 x 5 = 15
Now, we will focus in the 0.5 tbsp of milk.
Find how much 1/2 a tbsp of milk can get for sugar.
4 1/2 tbsp of milk is 5 tbsp of sugar.
5 ÷ 4 = 1.25
So 16 and 5/4 tbsp of sugar is required.
(Answer for Part A)
Slope is simply rise/run.
or
(vertical shift)/(horizontal shift)
therefore, the x value went from -6 to 2 which means it vertically shifted by 8.
and the y value went from 1 to 5, which means it horizontally shifted by 4.
the slope is 8/4.
or 2.
Answer:
Kristi
Step-by-step explanation:
The formula for Simple Interest =
Principal × Rate × Time
For Kristi
Kristi invests $3,000 at a 7.25% annual simple interest rate,
Principal = $3000
Rate = 7.25% = 0.0725
Time = 1
Simple interest = $3000 × 0.0725 × 1
= $217.5
For Kari
Her sister Kari invests $3,200 at a 6.25% annual simple interest rate.
Principal = $3200
Rate = 6.25% = 0.0625
Time = 1
Simple interest = $3200 × 0.0625 × 1
= $200
From the above calculation, we can see that: Kristi will earn the greater amount of interest after one year