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Morgarella [4.7K]
3 years ago
15

Identify the corresponding word problem given the equation: x = 10 × 200 A) Frank and ten workers are hired to harvest tomatoes

from a field. If each is given a plot which is 10 by 20 feet in size, what is the total area of the field? Eliminate B) Frank and nine workers are hired to harvest tomatoes from a field. If each is given a plot which is 10 by 20 feet in size, what is the total area of the field? C) Frank and ten workers are hired to harvest tomatoes from a field. The total area of the field is 2000 square feet. If the field is divided equally between the workers, what size plot must each worker harvest? D) Frank and nine workers are hired to harvest tomatoes from a field. The total area of the field is 2000 square feet. If the field is divided equally between the workers, what size plot must each worker harvest?
Mathematics
2 answers:
KengaRu [80]3 years ago
7 0
The original equation is x=10×200
Frank and the # of workers hired= # of workers+Frank
x= the total area of the field, not how much each worker has to harvest
10×20=200
9+1=10
10×200=x
Solution: B. Frank and nine workers are hired to harvest tomatoes from a field. If each of the workers is given a plot which is 10 by 20 feet in size,what is the total area of the field?
Kay [80]3 years ago
7 0

Answer:

x = 10 x 200

x = 2000

The total area of the field is 2000 square feet, ten workers times 200 square feet plots.

Step-by-step explanation:

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Mark has 17 coins that are dimes and quarters. The total value of the coins is $2.45. How many dimes does mark have?
seropon [69]

Answer: 12 dimes and 5 quarters

Step-by-step explanation: Let's start this problem by setting up a chart so we can organize our information that we're given in this problem.

Down the left side, we'll have our different types of coins. In this case dimes and quarters. Across the top we'll have our formula which is shown below.

Number of coins · value of each coin = total value

Now let's fill out our chart.

For number of dimes and quarters, we know that mark has a total of 17 dimes and quarters but we don't know how many of each he has. In fact, that's what the problem is asking.

So if we represent our number of dimes as <em>x</em>, we can call our number of quarters <em>17 - x</em>.

The value of each dime is 10¢ and the value of each quarter is 25¢.

Our total value based on our formula is going to come from the first column times the second column. So the total value of our dimes is <em>x times 10</em> or <em>10x </em>and the total value of our quarters is <em>17 - x times 25</em> or <em>25 (17 - x)</em>.

Our goal in this problem will be to find <em>x </em>because <em>x</em> represents our number of dimes and the problem asks how many dimes does he have. If we know the number of dimes, we can easily find the number of dimes and we'll have our answer. However, we need an equation in order to find <em>x</em>.

It's important to understand that he information in this equation will always come from the last column of your chart, the total value column. So what do we know about the total value of our dimes and the total value of our quarters?

Well we know that the total value of all of our coins is $2.45. So if we add the total value of our dimes + the total value of our quarters, that should equal $2.45. So below the chart I added an additional box and I put 245 in it. Notice that I wrote 245 in terms of cents because our value of dimes and value of quarters is also written in terms of cents and we need to be constient.

So here's our equation.

10x + 25 (17 - x) = 245.

If we solve this, we get <em>x = 12</em>.

Going back up into our chart, remember that <em>x</em> represents our number of dimes so Mark has 12 dimes. To get his number of quarters, we take 17 - x which is 17 - 12 or 5 quarters and that's our answer.

I have also attached the chart that I have made below.

7 0
3 years ago
Please help me
yKpoI14uk [10]

9514 1404 393

Answer:

  A)  5x+12 = -12x-12

  D)  5x+12 = -5x-12

Step-by-step explanation:

If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.

A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution

B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions

C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions

D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution

6 0
3 years ago
Please help with this math question
max2010maxim [7]
Mmmm Hope this help you

8 0
2 years ago
Worth a lot of points! please help and explain your answer tysm
Arte-miy333 [17]

Answer:

option c is incorrect

because the value of tan B will be perpendicular/base

so tan B=5/12.

mark me brainlist

6 0
3 years ago
Toya is using a cake recipe that calls for two cups of sugar and 3 cups of flour. she wants to make a larger amount of cake batt
posledela

Answer:

4 cups of sugar

Step-by-step explanation:

2 x 2 = 4

Toya will use 4 cups of sugar.

5 0
2 years ago
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