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alexdok [17]
1 year ago
8

17. A bag contains 2x yellow counters, 4x + 6 red counters and 6x - 10 blue counters. a. Write an expression, in terms of x, for

the total number of counters in the bag.
The total number of counters in the bag is 44.
b. Work out the number of blue counters in the bag.
c. How many more red counters are there than blue counters in the bag?​
Mathematics
1 answer:
Natalija [7]1 year ago
7 0

Answer: 12x-4, 14 counters, 8 more counters

Step-by-step explanation:  There are 2x yellow, 4x+6 red, and 6x-10 blue counters. We need to add all of this up to get the total number of counters. We first add the x's : 2x+4x+6x = 12x. Then we add the numbers. 6+ (-10) is -4. So, our expression is 12x-4. Next, we need to find out how many blue counters are in the bag. We know that there are 44 total counters and we need to find x because all the counters have x in them. 12x-4 = 44. We first add 4 to both sides to get 12x= 48 and x = 4. blue has 6x-10 counters so, blue has 24-10 = 14 counters. Red has 16+6 = 22 counters. 22-14 = 8 more counters

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there are 36 capenters in a crew. Ona certain day,29 were present .What percent showed up for work?[round to the nearest tenth
aliina [53]

Answer:


Step-by-step explanation:

We assume, that the number 36 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 36, so we can write it down as 100%=36.

4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.

5. Now we have two simple equations:

1) 100%=36

2) x%=29

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=36/29

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 29 is what percent of 36


100%/x%=36/29

(100/x)*x=(36/29)*x - we multiply both sides of the equation by x

100=1.24137931034*x - we divide both sides of the equation by (1.24137931034) to get x

100/1.24137931034=x

80.5555555556=x

x=80.5555555556


now we have:

29 is 80.5555555556% of 36 to the nearest tenth is 81%

4 0
2 years ago
Use place-value patterns to complete the table. 100 is ten times as much as 1/10 of?
Eva8 [605]
100 is ten times as much as 1/10 of a hundred

ur multiplying n then dividing by ten so they cancel each other out 

theres no table so idk if this is what u wanted but that's the answer
hope it helps

3 0
3 years ago
9.<br>6. Which of the following decimals is between -3<br>and -4?​
Setler79 [48]

Answer:

You did not provide options but it would be any one of them that starts with -3 and then has a decimal.

7 0
2 years ago
A school wants to put on a dance recital Middle School dancers have short programs that run 4 minutes long High School performer
sp2606 [1]

Answer:  The answer is \textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.


Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

Since there cannot be more than 10 dances all together, so fisrt inequality can be written as

\textup{M}+\textup{H}\leq 10.

Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as

4\textup{M}+7\textup{H}\leq 90.

Thus, the pair of inequalities is

\textup{M}+\textup{H}\leq 10,\\\\4\textup{M}+7\textup{H}\leq 90.


6 0
2 years ago
Work out the area of this circle.
exis [7]

We know that

Area of circle = πr²

=> π × (6)²

=> π × 36

=> 36π mm²

3 0
2 years ago
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