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KiRa [710]
2 years ago
7

Mrs. Kermit has 29 markers. She gives 12 markers to Mr. Cooke and divides the rest among 5 other teachers. If each of the teache

rs get the same number of markers, how many markers will be left over?
Mathematics
1 answer:
romanna [79]2 years ago
8 0

Answer: 2 markers.

Step-by-step explanation:

1. You know that she gives 12 markers to Mr. Cooke, then the rest among is:

29 markers-12 markers=17 markers

2. She divides the rest among 5 other teachers and each one of them get the same number of markers. So, you need to divide 17 markers by 5 teachers as following:

17 markers/5=3.4 markers

3. But the number of marker each one teacher has can't be a decimal number, so this number must be: 3 markers for each teacher.

3. The number of markers that will be left over is:

17 markers-(5*3 markers)=2 markers

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Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What
Zina [86]

Answer:

The total cost of the bond is none of the given choices.

Step-by-step explanation:

The selling price of a $1000 bond  =   $99.875

The brokerage fee = 5.5 %

Now, 5.5%  of $99.875 =  \frac{5.5}{100}  \times 99.875 = 5.493

So, the brokerage fee = $5.493

Now, to find out the total cost of the bond:

Total Cost  = The selling Price + Brokerage Price

                  = $99.875 + $5.493

                  =  $105.368

or, the total price of the $1000 bond is $ 105.368.

Hence,  the total cost of the bond is none of the given choices.

7 0
2 years ago
If a baker doubles a recipe that calls for 6-2/3 cups of flour. How many cups will be needed in all?
nadya68 [22]
Hey there!

The easiest way I could think to do this is by converting your mixed number to an improper fraction and multiplying the fraction by 2, or 2 over 1. 

6 \frac{2}{3}  = 6*3+2 =  \frac{20}{3}

\frac{20}{3} *  \frac{2}{1}

To multiply fractions, you can just multiply the numerators and denominators and simplify, if applicable. 

\frac{20}{3} * \frac{2}{1} = \frac{40}{3}

Since you can't simplify this fraction in its improper form, just convert it back into a mixed number. 

\frac{40}{3} = 13 \frac{1}{3}

So, your answer will be 13 \frac{1}{3}. 

Hope this helped you out! :-)
4 0
1 year ago
Read 2 more answers
Find a right triangle that has legs with your irrational Lengths and a hypotenuse with a rational Length
cluponka [151]

gg easy


the legs of a triangle are related as a^2+b^2=c^2 wehre a, b, and c are the legs and the hypotonuse of a triangle respectively


let's find some stuff

one easy way is to find a rational value for c find values of a and b

lets pick c=5

a^2+b^2=5^2

a^2+b^2=25

now split up 25 into 2 things that don't have rational square roots

if we say a^2=19 and b^2=6 then we get

a=\sqrt{19} and b=\sqrt{6} (which are both irrational)

4 0
1 year ago
if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal wi
Zanzabum

Answer:

<u>12.5% ≈ 13%</u>

Step-by-step explanation:

The rest of the question is: There are 75 pills in the batch.

The current batch of pills is the first of the day and our goal is to produce a total of 600.

If there are 75 pills in the batch so percentage of goal completed will be

[(number of pills in the batch)/(Total pills)] * 100

\frac{75}{600}*100 = 12.5 \%

≈ 13% to the nearest whole number

7 0
1 year ago
Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While tal
mixas84 [53]

Answer:

A) 3.5

B) 1.6202

Step-by-step explanation:

In binomial distribution,

E(X) = np and Var(X) = npq while

SD (X) = √(npq)

Where n is number of cards drawn

p is probability of getting one particular shape

q = 1-p

So from the question, n = 14

p = 13/52 = 1/4

q = 1-(1/4) = 3/4

So;

A) E(x) = np = 14 x 1/4 = 3.5

B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202

4 0
2 years ago
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