MATHEMATICS MIDDLE SCHOOL

A collection of 33 coins having dimes quarters and nickels, there are 3 times more nickels then dimes and half the amount of dimes as nickels, all of the coins equal $3.30 how many of each coin?

Answers

Answer 1

Answer:

Answer:

Each coins are quarters of 6, nickels of 18 and the dimes of 9.

Step-by-step explanation:

There is a mistake in question.

The question must be:

A collection of 33 coins having dimes quarters and nickels, there are 3 times as many nickels as quarters, and one-half as many dimes as nickels, all of the coins equal $3.30 how many coins of each kind are there?

Now, to find the number coins of each.

Let the quarters be $x$ .

Nickels be $3x$ .

And the dimes be $(3x)/(2)$ .

So, the total collection of coins are:

$x+3x+(3x)/(2) =33.$

On adding the fractions we get:

$(2x+6x+3x)/(2) =33$

$(11x)/(2) =33$

Multiplying both sides by 2 we get:

$11x=66$

Dividing both sides by 11 we get:

$x=6.$

Thus, quarters = 6.

Nickels = $3x=3* 6=18.$

Dimes = $(3x)/(2) =(3* 6)/(2) =(18)/(2)=9 .$

Therefore, each coins are quarters of 6, nickels of 18 and the dimes of 9.

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7 watermelons cost $8.96.Which equation would help determine the cost of the 5 watermelons? Into two fractions with a expontnet This is very important please help

The simplified answer

Answers

$- (4)/(5) - (7)/(8) = \n ( - 32)/(40) + ( - 35)/(40 ) = \n - (67)/(40)$

Hope this helps don’t be intimidated by large numbers follow the same steps you would when you are using smaller numbers good luck

What percent of 60 is 15

Answers

25%.

15 = 25%
30 = 50%
45 = 75%
60 = 100%

15/60 = 1/4 or 25 %

or
n% x 60 = 15 (the statement you wrote above changed into math)

.60n = 15 What allows me to move the decimal back two places? Normally you can change a percent to a decimal by moving it back two places. But if you don't know what the % is, you can move the number you are multiplying by back two places instead.
For example: 37 x .45 = .37 x 45 both = 16.65 - this shows that it doesn't matter which number is moved back two places - the answer will be the same. You can't move n% back two places (because you can't move a number you don't know back two places) so just move the number you are multiplying by, namely 60, back two place - that is how I got .60

.60n=15
.60 .60 divide both sides by .60

n= 25%

Locate and label the following fraction on the number line 1/2 4/2 5/20 1 2 3

Answers

1/2 would be in between 0 and 1. The fraction 4/2 is actually 2, so it would just be plotted on the number 2 on the number line. 5/2 is reduced to 2.5, therefore it goes in between 2 and 3.

0, 1/2, 1, 2 (4/2), 5/2, 3
1/2 = 0.5 and 0.5 is > than zero but < than one
4/2 is 4 divided by 2 = 2 and two is 2 (Funny)
5/2 = 2 and 1/2 = 2.5
Hope that Helps!

A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle?

Answers

$The\ rectangle:a\ *\ b\n\n \left\{\begin{array}{ccc}ab=30\n2a+2b=34&/:2\end{array}\right\n\n\left\{\begin{array}{ccc}ab=30\na+b=17\end{array}\right\n\n\left\{\begin{array}{ccc}ab=30\na=17-b\end{array}\right\n\nsubstitute:\n\n(17-b)b=30$

$-b^2+17b-30=0\n\na=-1;\ b=17;\ c=-30\n\n\Delta=b^2-4ac\n\n\Delta=17^2-4\cdot(-1)\cdot(-30)=289-120=169;\ \sqrt\Delta=√(169)=13\n\nb_1=(-17-13)/(2\cdot(-1))=(-30)/(-2)=15;\ b_2=(-17+13)/(2\cdot(-1))=(-4)/(-2)=2\n\na_1=17-15=2;\ a_2=17-2=15\n\nAnswer:The\ rectangle:15m\ *\ 2m.$

Answer:

15m x2m

Step-by-step explanation:

Carter needs to wrap 7 presents. He lays the ribbon out flat and says , " If I make 6 equal cuts, I'll have just enough pieces I can use one piece for each package, and I won't have any pieces left over." Does he have enough pieces to wrap all the presents?