MATHEMATICS MIDDLE SCHOOL

Minh has a coin collection of dimes and nickels worth $1.70. The number of nickels is four more than the number of dimes. How many of each coin does she have ?

Answers

Answer 1
Answer:

Answer:

The number of coins each she have are 10 dimes coin and 14 nickel coins.

Step-by-step explanation:

Given:

Minh has a coin collection of dimes and nickels worth $1.70.

The number of nickels is four more than the number of dimes.

Now, to find each coins she have.

Let the number of dimes be x.

And the number of nickels be 4+x.

As the value of dimes = $0.10, and the value of nickel = $0.05.

Now, according to question:

0.10x+0.05(4+x)=1.70

⇒0.10x+0.20+0.05x=1.70

⇒0.15x+0.20=1.70

Subtracting both sides by 0.20 we get:

⇒0.15x=1.50

Dividing both sides by 0.15 we get:

⇒x=10.

Number of dimes = 10.

Number of nickel = 4+x=4+10=14.

Therefore, the number of coins each she have are 10 dimes coin and 14 nickel coins.

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A rabbit's fur grows at the rate of 5 over 2 inches per month. How many months will it take the rabbit's fur to grow 15 over 4 inches?

Answers

(15/4) / (5/2) = 
15/4 * 2/5 =
30/20 =
3/2 = 1 1/2 months 

Answer:

(15/4) / (5/2) =  

15/4 * 2/5 =

30/20 =

3/2 = 1 1/2 months

Step-by-step explanation:

you choose a movie CD at random from a case containing 8 comedy CD's, 5 science fiction, and 7 adventure. The CD is not a comedy

Answers

the answer is 12/20..............
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The Pave the Way Company is installing a new walkway. The installer uses 13 paving stones for every foot of walkway. He needs 117 paving stones to complete the project and used 78 paving stones so far. How many more feet of paving stones will he need to install to finish?

Answers

Hey There!

The answer would be 3 Feet!

Solution-

1) 117-78= 39

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Thank You!

3x + 7y =47
-4x +7y =19

Answers

3x+7y=47
-1(-4x+7y=19)

Distribute the -1 and add the equations together...you'll get:

7x=28
x=4

Plug X=4 back in...
12+7y=47
7y=35
y=5

Help pleeeaaseWhat is the best approximation of the solution to the system to the nearest integer values?



A.
(1, 3)

B.
(3, 2)

C.
(2, 3)

D.
(3, 4)

Answers

C. (2,3) The solution to the system of equations is where the two lines will intersect. looking at the graph that point is closest to C. (2,3)
5x + 2y = 16 ⇒ 5x + 2y = 16
  x + 3y = 12 ⇒ 5x + 15y = 180
                                -13y = -164
                                 -13      -13
                                     y = 12 8/13
               5x + 2(12 8/13) = 16
                   5x + 25 3/13 = 16
                          -25 3/13   -25 3/13
                                   5x = -9 3/13
                                    5          5
                                     x = -1 11/13
                               (x, y) = (-1 11/13, 12 8/13)
B. (3, 2)

To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0here are options for both blanks (The equivalent equation (x-Blank)^2=Blank

-1/4
1/4
-1/2
1/2
-9/4
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-3/2
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Answers

so to complete the square in
ax^2+bx+c=d form

make sure a=1
subtract c from both sides
take 1/2 of b and square it
add that to both sides
factor perfect square

1x^2-1x-2=0
a=1
move c to other side
add 2 to oth sides
x^2-1x=2
take 1/2 of b and square it
1/2 of -1=-1/2
squaer it
1/4
add that to both sides
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first blank is 1/2

2+1/4=8/4+1/4=9/4

blanks are
1/2 and 9/4
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