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2 years ago

13

A printer ink cartridge that can print 550 pages has already printed 127 pages. Which solution represents the correct equation a

nd answer to the question, "How many more pages, P, can still be printed?"

2 answers:

babunello [35]2 years ago

8 0

Answer:

P = 423

P + 127 = 550

Step-by-step explanation:

babunello [35]2 years ago

6 0

P + 127 = 550 P = 423

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Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos

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Answer:

Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.

Step-by-step explanation:

Let x represent number of 10-oz bags and y represent number of 16-oz bags.

We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:

$x+y=24...(1)$

We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be $3.50x$ and cost of y 16-oz bags would be $5y$ .

At the end of one week, she collected $97.50. We can represent this information in an equation as:

$3.5x+5y=97.50...(2)$

Now, we will use substitution method to solve our system of equations. From equation (1), we will get:

$y=24-x$

Substitute this value in equation (2):

$3.5x+5(24-x)=97.50$

$3.5x+120-5x=97.50$

$-1.5x+120=97.50$

$-1.5x+120-120=97.50-120$

$-1.5x=-22.5$

$\frac{-1.5x}{-1.5}=\frac{-22.5}{-1.5}$

$x=15$

Therefore, the number of 10-oz boxes sold be Jillian is 15.

Now, we will substitute $x=15$ in equation (1) to solve for y.

$15+y=24$

$15-15+y=24-15$

$y=9$

Therefore, the number of 16-oz boxes sold be Jillian is 9.

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In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece. What is the minimum n

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Solution: As always, try to find a way of looking at the problem that makes the solution simple. In this problem, regardless of the current state of the puzzle, a move consists of combining two clusters into a single cluster. Therefore every move reduces the number of clusters by 1. Since we begin with 2000 clusters (the single pieces) and end with 1 cluster, we need \[2000-1=\boxed{1999}\] moves to complete the puzzle.

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2 years ago

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An interior designer wants to install a circular stained-glass window on the triangular side wall of an attic bedroom. The windo

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Answer:

B. The point of intersection of the triangle's three angle bisectors.

Step-by-step explanation:

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2 years ago

The annual interest rate of Marta's savings account is 7.2% in a simple interest is calculated quarterly. What is the periodic i

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1. You have the following information:

-The annual interest rate <span>is 7.2%.
- The </span><span>simple interest is calculated quarterly.

2. Then, to solve this exercise and calculate the </span><span>periodic interest rate of Marta's Account, you only have to divide the annual interest rate (7.2%) by 1/4 year. So, you have:
</span>
=(7.2%)(1/4)
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<span>What is the periodic interest rate of Marta's Account?

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The ball bearing have volumes of 1.6cm cube and 5.4cm cube . Find the ratio of their surface area.

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Answer:

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Step-by-step explanation:

The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:

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The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.

Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.

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