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Gnom [1K]
3 years ago
11

A teacher is buying pencils for her classroom. If a dozen pencils cost $0.97, how many pencils can she purchase with $5?

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

Answer:

The teacher can purchase 61 pencils with $5

Step-by-step explanation:

This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas

It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083

With $5 she will be able to purchase 5/0.08083=61.85 pencils

We must round to the nearest lower integer

The teacher can purchase 61 pencils with $5

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They're usually 365 days in each year every 4th year is call a leap year and has one extra day in February how many days are the
Mariana [72]

Answer:

Total number of days in 8 years is 2,922 days.

Step-by-step explanation:

Number of days in a Normal year  = 365 days

Number of days in a  leap year  =  366 days

Also, Leap year comes exactly ONE TIME in every FOUR YEARS.

⇒ In every consecutive 4 years, 1 year is a leap year.

⇒ So, number of leap years in 8 years  =   2

Now, 8 Years  = 6 Normal years +  2 leap Years

<u>Number of days in 6 normal years</u>

= 6 x ( Number of days in a regular year)

= 6 x (365 days)  = 2,190 days

<u>Number of days in 2 leap years</u>

= 2 x ( Number of days in a leap year)

= 2 x (366 days)  = 732 days

So, Total number of days in 8 years

= Number of days in 6 regular years  + Number of days in 2 leap years

= 2,190 days  +  732 days

= 2,922 days

Hence, total number of days in 8 years is 2,922 days.

5 0
3 years ago
Here are three problems. Select all problems that can be solved using division. Jada cut 4 pieces of ribbon that were equal in l
Ivenika [448]

Answer:

A and C

Step-by-step explanation:

7 0
3 years ago
At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items that
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
A parallelogram has a 7 inch side and a 9 inch side, and the longer diagonal is 14 inches long. find the length of the other dia
Orlov [11]
A parallelogram is a flat shape with opposite sides parallel and equal in length. The diagonals of a parallelogram bisect<span> each other. In simpler words, they intersect halfway point. We calculate as follows:

</span>d2 = √<span>2a^2 + 2b^2 - d1^<span>2
</span></span>d2 = √2(7)^2 + 2(9)^2 - 14^2
d2 = 8 inches
7 0
3 years ago
Read 2 more answers
A large aquarium contains only two kinds of fish, guppies and swordtails. If 3/4​​ of the number of guppies is equal to 2/3​​ of
Jlenok [28]

Answer:

\frac{8}{17} of fish in this aquarium are guppies.

Step-by-step explanation:

Let x be the number of guppies and y be the number of swordtails in the aquarium,

According to the question,

\frac{3}{4}\text{ of } x=\frac{2}{3}\text{ of }y

\frac{3x}{4}=\frac{2y}{3}

By cross multiplication,

9x=8y

\implies \frac{x}{y}=\frac{8}{9}

Thus, the ratio of guppies and swordtail fishes is 8 : 9

Let guppies = 8x, swordtail = 9x

Where, x is any number,

Since, the aquarium contains only two kinds of fish, guppies and swordtails,

So, the total fishes = 8x + 9x = 17x

Hence, the fraction of fish in the aquarium are guppies = \frac{\text{Guppies}}{\text{Total fishes}}

=\frac{8x}{17x}

=\frac{8}{17}

6 0
3 years ago
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