Answer:
a) The unit rate for calories per cup is 100 calories per cup
b) 200 calories in 2 cups of cereal.
Step-by-step explanation:
A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving.
a) What is the unit rate for calories per cup?
This is calculated as:
3/4 cup = 75 calories
1 cup = x
Cross Multiply
3/4x = 75 calories × 1
x = 75 calories /3/4 cup
x = 75 ÷ 3/4
x = 75 × 4/3
x = 100 calories per cup
The unit rate for calories per cup is 100 calories per cup
b) How many calories are there in 2 cups of the cereal?
From the above question
3/4 cup = 75 calories
2 cups = x
Cross Multiply
3/4x = 75× 2
x = 150 ÷ 3/4
x = 150 × 4/3
x = 200 calories
There are 200 calories in 2 cups of cereal.
In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.
The answer is in bold type below.
<span>All
interior angles must be given to determine similarity.
The triangles
are not similar.
Similarity cannot be determined from the given
information.
The triangles are similar.
</span>
"He got a big hand" thats the answer
Answer:
There seems to be a typo error but still this has solution.
Let the number be = x
A positive real number is 6 less than another. Means the second will be
The sum of the square of the two numbers is 38.
=>
=>
=>
=>
Taking out 2 common;
=>
Solving this quadratic equation, we get;
and
As positive number is needed, we have
or x =
x = 0.162277
And other number is 6.162277.
Answer:
There is a strong positive relationship between sales of firewood and cough drops.
Step-by-step explanation:
Correlation Coefficient
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
Thus, a coefficient correlation of 0.85 between weekly sales of firewood and cough drops over a 1-year period suggest that there is a strong positive relationship between sales of firewood and cough drops.
Thus, as the sale of firewood increase there is an increase in the sale of cough drops.