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daser333 [38]
3 years ago
9

Julio has 47 marbles. He keeps his two favorite marbles, then equally shares the remaining marbles between 5 friends. How many m

arbles does each friend receive?
Mathematics
2 answers:
sveta [45]3 years ago
7 0

Answer:it’s 8.4

Step-by-step explanation:

Alla [95]3 years ago
6 0

Answer:9

Step-by-step explanation:each friend get 5 because if he has 47 keeps 2 and has 5 friend 45 divided 5 equals 9

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the larger of two numbers is 7 less than three times the smaller number. if the sum of the numbers is 61, find the numbers
adoni [48]

Let X = the large #

    Y = the small #

We have 2 unknowns, therefore we need 2 equations to solve for them:

    X + Y = 61

    X = 3Y - 7

Using the substitution method we get:

    X + Y = 61                original equation

   (3Y - 7) + Y = 61        substituting for X

    4Y - 7 = 61                combine like terms

    4Y - 7 + 7 = 61 + 7    add 7 to both sides

    4Y = 68                     simplify

    4Y/4 = 68/4               divide both sides by 4

    Y = 17                       solve for Y

    X + Y = 61                 original equation

    X + 17 = 61                replace Y with 17

    X + 17 - 17 = 61 - 17  subtract 17 from both sides

    X = 44                        solve for X

Check your answer:

       X + Y = 61          X = 3Y - 7

     44 + 17 = 61        44 = 3(17) - 7

     61 = 61  check!     44 = 51 - 7

                                 44 = 44  check!

Therefore, the larger #(X) = 44 and the smaller #(Y)= 17.

8 0
3 years ago
In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.
CaHeK987 [17]
You have to solve 3 equations pretty much simultaneously here using the x and y values in the general form of the quadratic equation y=a x^{2} +bx+c
Start with the first values of x=0 and y=5.1 to solve for c:
5.1=a(0) ^{2} +b(0)+c so c = 5.1
Next use the second x and y values along with the value of c in the next equation:
3.03=a(1) ^{2} +b(1)+5.1 gives you
-2.07 = a + b.  Solve this for a:
a = -2.07 - b
Finally use the third set of numbers with the c value AND the subbed value for a:
1.17=a(3) ^{2} +b(3)+5.1
1.17 = 9(-2.07 - b)+ 3b + 5.1 which simplifies to:
1.17 = -18.63 - 9b + 3b + 5.1 which further simplifies to:
14.7 = -6b and b = -2.45
Now you have c and b, let's find a using one of the simplified equations:
-2.07 = a + b
-2.07 = a - 2.45
a = .38
So here's your equation:
y=.38 x^{2} -2.45x+5.1

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4 years ago
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IrinaK [193]
The play is split into 5 acts.
8 0
3 years ago
\s\sqrt{x} 8-2\sqrt[n]{x} 12\\
mixer [17]

Answer: =8s\sqrt{x}-24\sqrt[n]{x}

Step-by-step explanation:

s\sqrt{x}\cdot \:8-2\sqrt[n]{x}\cdot \:12

=8s\sqrt{x}-24\sqrt[n]{x}

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This is what a Stem and Leaf plot work. Do you know how to use it?

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