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Lunna [17]
3 years ago
7

Frank works in the supply room of a law firm. At the beginning of the month, he had 27 boxes of pens with 13 pens in each box. A

t the end of the month, there were 61 pens left. How many pens did he give out over the month?
Mathematics
2 answers:
erastova [34]3 years ago
4 0

Answer:

290

Step-by-step explanation:

first you multiply 27 times 13 and get 351.you then subtract 351 from 61 and get 290.

docker41 [41]3 years ago
3 0

Answer:

290

Step-by-step explanation:

27x13 = 351

351-61= 290

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How do i write the number 640,739 in expanded form
Luda [366]
600000+ 40000+ 700+ 30+ 9
4 0
3 years ago
Read 2 more answers
B 5 3 a 4 What is the length of the hypotenuse of this triangle? 3 units 5 units 4 units​
Lunna [17]

Answer:

5 units

Step-by-step explanation:

The hypotenuse is always the longest segment on a triangle. If the lengths of the sides of this triangle are 3 units, 4 units, and 5 units, the hypotenuse will be 5 units. You can use the pythagorean theorem to check.

a^2+b^2=c^2

If you substitute the variable with the lengths of the legs in ascending order, you will get 3^2+4^2=5^2. Simplifying the equation, you will get 9+16=25, or 25=25. Thus, proving the equation.

Hope this helped! :)

6 0
3 years ago
327.8 in scientific notation
Allushta [10]

Answer:

3.278 * 10 ^ 2

Step-by-step explanation:

To change a number to scientific notation you:

Move the decimal point to the left to make the number have 1 number before the decimal point.

From there you multiply by 10 to the power 2 the number of decimal points you moved.

So the answer is 3.278 * 10^2

HOPE IT HELPED

5 0
3 years ago
In an intro stats class, 57% percent of students eat breakfast in the morning and 80% of students floss their teeth. Forty-six p
WINSTONCH [101]

Answer: B. 11%

Step-by-step explanation:

Let A = Event that students eat breakfast in the morning.

B= Event that students floss their teeth.

We are given P(A)=57%=0.57

P(B)=80%=0.80

P(A∩B) = 46% =0.46

Now, the probability that a student from this class eats break feast but does not floss their teeth :-

P(A-B)=P(A)-P(A\cap B)\\\\ = 0.57-0.46=0.11=11\%

Hence, the probability that a student from this class eats break feast but does not floss their teeth= 11%

3 0
3 years ago
1) Solve the word problem for the portion, rate, or base.
zhenek [66]

Answer:

1) 0.6% of the production is defective.

2) Ana will owe $570.

Step-by-step explanation:

Both questions here are percentage problems

Percentage problems can be explained as a rule of three problem

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

Percentage problems have a direct relationship between the measures.

1) The problem states that a quality control process finds 46.8 defects for every 7,800 units of production. And asks what percent of the production is defective? We have to answers how many defects are there for 100 units of production. So:

46.8 defects - 7,800 units

x defects - 100 units

7,800x = 4680

x = \frac{4680}{7800}

x = 0.6

0.6% of the production is defective.

2) The problem states that the medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. The total bill is expected to be about $4,800.

Ana has to pay:

P = P1 + P2

-P1 :The first $100

-P2: 10% of the remaining expense. The remaining expense is $4,800-$100 = $4,700. Ana has to pay 10% of this. So

4700 - 100%

P2 - 10%

100P2 = 47000

P2 = \frac{47000}{100}

P2 = $470

Ana will owe P = P1 + P2 = $100 + $470 = $570.

8 0
3 years ago
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