Snow fell at a rate of 3/4 an inch/hour. how much snow fell in a period of 6 hours

Answers

Answer 1

Answer: that implies a simple multiplication:
snow = (3/4)(6) = 4.5 inch
and note the units elimination in the operation as well:
= [inch/hour][hour] = inch

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One week, Jake and Sally collected canned goods for a food drive. On Monday, Jake collected 4 boxes and Sally collected 2 boxes. At the end of the week, Jake had 3 times as many boxes as he had on Monday. Sally had 4 times as many boxes as she had on Monday. Together, how many boxes of canned goods did they have at the end of the week?

Answers

Jake:
Mon- 4 boxes
End of the week- 3x the boxes on Mon
3 x 4 = 12

Sally:
Mon- 2 boxes
End of the week- 4x the boxes on Mon
4 x 2 = 8

12 + 8 = 20 boxes total

Erin received the following scores on her last four spelling tests.21\25, 82%, 0. 8, 17\20.Which of these is Erin’s highest score?

Answers

Answer:

The highest score is the last one 17/20

Step-by-step explanation:

Step 1: Convert all to percentage

21/25 -> 0.84 * 100 -> 84%

82%

0.8 * 100 -> 80%

17/20 -> 0.85 * 100 -> 85%

Answer: The highest score is the last one 17/20

$\huge\boxed{(17)/(20)}$

We will convert each of the scores to a percentage.

$(21)/(25)*(4)/(4)\to(21*4)/(25*4)\to(84)/(100)\to84\%$

$82\%$

$0.8*100\to80\%$

$\boxed{(17)/(20)}*(5)/(5)\to(85)/(100)\to\boxed{85\%}$

So, the answer is the last option.

Perfume A cost $11 per ounce, and perfume B cost $19 per ounce. The perfume maker wants to make a bottle that cost $71. Write an equation in standard form that models the cost of each perfume in the 5-ounce bottle.

Answers

Perfume A (a) costs $11 per ounce and perfume B (b) costs $19 per ounce. So, the expressions, 11a and 19b represent the cost of each perfume in the 5-ounce bottle. Because the perfume maker wants the bottle to cost $71, add the expressions 11a and 19b and set the sum equal to 71:

11a + 19b = 71

You would first make a table to help sort out the info. The table will have 3 rows and those rows will be PerfA, PerfB, and mix. The table will have 3 columns and those will be, from left to right, # oz, cost, total (which is the product of the first 2 columns). In the first row first column we will put an x, since we don't know how many ounces of perfume A we have. The cost of perfume A is 11, so that number goes in the first row second column. The total for the first row is x * 11 which is 11x. Now we move to row 2. We put a y in the second row first column since we don't know how much of perfume B we have. We do know that it costs 19 per ounce, so 19 goes in row 2 column 2. The product of those 2 is 19y. In row 3 first column we put a 5 since the maker wants the mix of A and B to be 5 ounces. In row 3 column 2 we put 71, since the maker wants the mix to cost 71. The product of those 2 numbers is 355. If you go straight down the first column, you have that the number of ounces of A (x) + the number of ounces of B (y) = 5, or x + y = 5. That equation relates the number of ounces to each other that is in the mix. We are looking for the money equation, which is going straight down the 3 column. This column relates the cost of A and B to each other that is in the mix. Standard form for an equation is Ax + By = C, so for us that will be 11x + 19y = 355. There you go!

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