Answer: The markup on the T-shirts is $ 13.50.
Step-by-step explanation:
- Markup is the difference between the selling price of a product and cost price.
Given : The cost price of each t-shirt = $1.50
The selling price of each t-shirt = $15
Then ,the markup on the T-shirts = (Selling price of each t-shirt) -( Cost price of each t-shirt)
i.e. The markup on the T-shirts = $15- $1.50= $ 13.50
Hence, the markup on the T-shirts is $ 13.50.
Answer:The number of days it will take to sell the same amount of cookies is 3 and the number of tubs that will be sold is 27
Step-by-step explanation:
Let x represent the number of days it will take either of them to sell the same number of tubs.
Let y represent the total number of tubs that that Joseph will sell in x days.
Let z represent the total number of tubs that that Dwayne will sell in x days.
Joseph has already sold 3 tubs. If Joseph starts selling 8 tubs per day, it means that in x days, the number of tubs that he will sell will be
y = 8x + 3
Dwayne hasn't sold any yet. If Dwayne begins selling 9 tubs per day, it means that in x days, the number of tubs that he will sell will be
z = 9x
To determine the number of days it will take to sell the same amount of cookies, we will equate y to z. It becomes
8x + 3 = 9x
9x - 8x = 3
x = 3
The number of tubs that each will sell will be 9x = 9×3 = 27
Answer:
B. and C.
Step-by-step explanation:
1. Set the polynomial equal to zero:
x² + 5x + 7 = 0
2. Plug the given values of a, b, and c into the quadratic formula:

3. Solve the square root:



4. Simplify the rest:

5. Separate the solutions:

Thus, options B and C are the answers.
hope this helps!
By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.