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muminat
2 years ago
7

What is the unit rate for a 13 ounce box of cereal that costs $3.99

Mathematics
1 answer:
lesya [120]2 years ago
4 0

Answer:

.31

Step-by-step explanation:

You do 3.99 divided by 13 to get the price of one

Which is the unit price.

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Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb
jonny [76]

Answer:  The answer is 400  blue marbles.


Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,

and number of blue marbles is

n_b=560-364=196.

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.

Thus, 400 blue marbles need to be added to the bag.


5 0
3 years ago
Read 2 more answers
Which numbers are factors of 29? Select all that apply.<br><br> 5<br> 9<br> 1<br> 21
Tamiku [17]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Factors are values that the number can be divided by to produce an integer (whole number)

Simply test them out:

29/5 = 5.8

29/9 = 3.2

29/1 = 29

29/21 = 1.38....

As per the statement above, the only factor of 29 from this line is 1.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
3 years ago
B) aº – 49<br>f) 2a? - 72<br>j) 8xy - 18xy​
Fed [463]

Answer:

b) -49

f) -73a

j) -10xy

don't knw may be wrong

8 0
2 years ago
Read 2 more answers
The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was$2.89 . Find the percentage decrease. Rou
alexandr1967 [171]
Decrease = initial price - final price

% decrease = [ (initial price - final price)  / initial price ] *100

% decrease =[ (2.89 - 2.83) / 2.89] * 100 =  2.08, which can be rounded to 2.1

Answer: 2.1 %
5 0
3 years ago
Read 2 more answers
An arithmetic sequence has t1=5 and t2=8 find tn and sn
RoseWind [281]

Answer:

a_n=2+3n

\displaystyle S_n=\frac{7n+3n^2}{2}

Step-by-step explanation:

<u>Arithmetic Sequences </u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

The sum of the n terms of an arithmetic sequence is given by:

\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

r = 8 - 5 = 3

Thus the general term of the sequence is:

a_n=5+(n-1)3=5+3n-3=2+3n

\boxed{a_n=2+3n}

The formula for the sum is:

\displaystyle S_n=\frac{5+2+3n}{2}\cdot n

\displaystyle S_n=\frac{7+3n}{2}\cdot n

Operating:

\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}

4 0
2 years ago
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