Answer: total number of teaspoons of spices in the dish =3.25 teaspoons
Step-by-step explanation:
Step 1
Listing the spices and their quantities , we have
Salt = 1/2 teaspoon
Orégano =1 1/4 teaspoon =5/4 teaspoons
Basil = 3/4 teaspoon
Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be 50% more in quantity than salt
Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25
0.25 + 1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.
Step 2
Adding the amount of spices we have
1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices = 3.25 teaspoons of spices .
Darren's model is wrong because he multiplied the fractions when he should have subtracted.
4/5 • 1/2 = 4/10
4/5 - 1/2
8/10 - 5/10 = 3/10
The correct model would be 3/10.
The volume of the metal box if the box was completely solid (V1), is:
V1=(12 inches)³
V1=1728 inches³
As there are 3 inches of metal on both sides, the widht if the metal box was not completely solid, is:
W=12 inches-(3 inchesx2)
W=6 inches
Then, the volumen of the no solid metal box is:
V2=(6 inches)³
V2= 216 inches³
Therefore, the volume of metal needed to smelt the cubical metal box, is:
V3=V1-V2
V3=1728 inches³-216 inches³
V3=1512 inches³
Answer: B
The correct second step for the given proof is;

by the division property of equality.
Explanation:
We want to find the correct second step for the given proof.
Recall that from division property of equality, when we have;
a=b and c=d, dividing the equations by each other, the equation will still be equal;

For the given Prove;
statement 1 states that the circumference circle 1 and 2 can be expressed as;

So, for step 2;
Applying the division property of equality, we have;

Therefore, the correct second step for the given proof is;

by the division property of equality.
The answer you chose is correct.
The slope is 10 because for each newspaper, she earns an additional $10.
When there are no newspapers, she earns a $125 salary.
Final answer: A