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2 years ago

11

Martin plans to buy a package of 20, and knows only 7 club members will eat them. If he were to give each of the 7 people the sa

me number of cookies, how many cookies would be left over

1 answer:

Grace [21]2 years ago

3 0

Answer:

6 cookies left over

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How to use substitution to solve system of equations

svlad2 [7]

Answer: See explanation.

Step-by-step explanation:

Let's assume that you have a System of two equations. You can solve this System using the Substitution Method.

In order to use that method to solve the System of equations, you can follow the steps shown below:

Step 1: You must choose one of the equations of the system and solve for one of the variables. Let's call this new equation "Equation A"

Step 2: Then you must substitute"Equation A" into the other equation.

Step 3: Now you must solve for the other variable in order to find its value.

Step 4: Finally, you need to substitute the value of the variable obtained in the previous step, into the "Equation A" and then evaluate in order to find the value of the other varibale.

(Note: You can also substitute the value of the variable calculated in Step 3 into any original equation and solve for the other variable to find its value).

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2 years ago

What is 6.213 as a mixed number

Ira Lisetskai [31]

6.213 as a mixed number would be 6 and 213/1000.

all you do to convert it to a mixed number is look at how many numbers are after the decimal.

since theres 3 numbers, that means it would be in the thousands place

3 0

3 years ago

Find the length of the hypotenuse in the right triangle below. 39in, 52in

Bingel [31]

If two sides of a right triangle are x and y, the hypotenuse, h is:

h^2=x^2+y^2, in this case x and y are 39 and 52 respectively so:

h^2=39^2+52^2

h^2=1521+2704

h^2=4225

h=√4225

h=65 in

So the hypotenuse is 65 inches.

3 0

3 years ago

Read 2 more answers

Use the construction in proof of the Chinese reminder theorem to find all solutions to the system of congruence:

antoniya [11.8K]

Answer:

17,101,185, 269,.... is the solution.

i.e. x≡17 mod(84) is the solution

Step-by-step explanation:

Given that the system is

$x ≡ 2 ( mod 3 )x ≡ 1 ( mod 4 )x ≡ 3 ( mod 7 )$

Considering from the last as 7 is big,

possible solutions would be 10,17,24,...

Since this should also be 1(mod4) we get this as 1,5,9,...17, ...

Together possible solutions would be 17, 45,73,121,....

Now consider I equation and then possible solutions are

5,8,11,14,17,20,23,26,29,...,47,....75, ....

Hence solution is 17.

Next number satisfying this would be 101, 185, ...

3 0

3 years ago

7. What type of angle pair are LMS and SMN? 1.adjacent angles 2.linear pair 3.complementary angles 4.vertical angles

steposvetlana [31]

In this question we have a diagram given. ANd on the basis of that diagram, we have to find the relationship between angles LMS and SMN.

As we see in the diagram, that these angles are one after another. ANd such angles are known as adjacent angles . So these two angles are adjacent angles .

So out of the four options, the correct option is the first option .

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3 years ago