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Tom [10]
3 years ago
14

A teacher has a box of 88 colored pencils. He gave 46 away. The teacher put the rest of the colored pencils into 7 equal groups

Mathematics
1 answer:
erastova [34]3 years ago
7 0

Answer:

6 pencils in each group

Step-by-step explanation:

Total = 88

Gave away = 46

Balance = 88 - 46 = 42

Divided into 7 groups, means : 42/7 = 6

So each group has 6 pencils

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Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He
charle [14.2K]

Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

Given:

Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = \frac{30}{100}x=0.3x = 0.3x

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

Amount paid in Charity = \frac{30}{100}x=0.3x

Also Given:

Chan pays 30% in old debts;

So we can say;

Amount paid in Old debts will be equal  30% of total amount receive

framing in equation form we get;

Amount paid in Old debts = \frac{15}{100}x=0.15x

Money left with him = $600

Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400

Hence Chan's Bonus amount was $2400.

7 0
4 years ago
The diameter of a circle is 22 miles. What is the circle's area?
Elodia [21]
Answer:
379.94

Explanation :
check out my attached work
Hope it helps, let me know if you have any questions !
Have a nice rest of your day :)

4 0
2 years ago
Read 2 more answers
Describe a situation that is defined by the linear equation P = 40 + 22t.
sashaice [31]

The situation that is defined by the linear equation P = 40 + 22t is "The initial amount is 40 and the rate of change is 22".

<h3>What is a linear equation?</h3>

Given:

P = 40 + 22t

where,

  • P = total price
  • 40 = initial amount
  • 22 = rate of change
  • t = number of rate of change

So,

if t = 3

P = 40 + 22t

= 40 + 22(3)

= 40 + 66

P = 106

Therefore, the initial amount is 40 and the rate of change is 22 describes the linear equation P = 40 + 22t

Learn more about linear equation:

brainly.com/question/14323743

4 0
3 years ago
The number 16 is decreased to 7. What is the percentage by which the number was
kogti [31]

Answer:

56.3%

Step-by-step explanation:

56.3%

6 0
2 years ago
Read 2 more answers
Pepper jackie used a precision hydrometer to perform an experiment at 2 local restaurants to determine which restaurant uses the
NISA [10]

Answer:

. ALL of the beverages at The Zest Nest ARE LIKELY to contain 46 grams of sugar or less, but NONE of the beverages at Jim's juice joint ARE LIKELY to contain LESS THAN 46 grams of sugar.




3 0
3 years ago
Read 2 more answers
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