Explain why 83×93 is not the prime factorization of 7,719í
Answers
83×93 is not the prime factorization of 7,719 because 93 is not a prime number:
93 = 3×31
Therefore the prime factorization of 7,719 is 83×3×31.
Answer:
Because it isn't a prime number
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Answer:
There are 76 oatmeal raisen cookies altogether.
Step-by-step explanation:
4 + 11 = 15
285/15 = 19
19 * 4 = 76
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let us do this problem by making the denominator the same.
So, now. the one with the largest numerator is the largest fraction
In this case,
So, the largest fraction is
A school band ordered hats for $3 and large T-shirts for $5. They bought 150 items in all for $590. Graph a system of equations to find how many hats and T-shirts the band ordered.
**PLEASE HELP I DONT UNDERSTAND SYSTEM OF EQUATIONS
Answers
The number of hats ordered is; 80 and the number of shirts ordered is; 70.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that the Cost of hats = $3
The Cost of shirts = $5
The total cost of all the items = $590.
Total number of items bought = 150 items.
Let us assume that the number of hats ordered be x.
The number of shirts ordered be y
The equation can formed as;
x+y = 150 -------(1)
3x+5y = 590 ---------(2)
Multiply and subtract eq(2) from eq(1),
3x+3y = 450
-(3x+5y = 590)
-2y = - 140
y = 140/2
y = 70.
Thus, the number of shirts ordered is; 70.
Now Substitute y=70 in eq(1),
x+70 = 150
x = 150-70
x = 80.
Thus, the number of hats ordered is; 80.
Learn more about equations here;
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If you do it by substitution, you would solve one equation for either variable (the first equation would be easier to solve for either variable) and plug it into the other equation and solve it. So it would look like: y=150-x 3x+5(150-x)=590
If you did it by elimination, you would line the variables in the equations up and make one variable (We'll use x) the opposite of the same variable in the other equation and add the equations together to make the chosen variable cancel out so you could solve for the other variable. So it would look like: 3x+5y=590
+ -5x- 5y=-150
-----------------
-2x=440
x=-220
After you do that, you would plug that answer into one of the original equations and solve for the other variable. So it would look like: -220+y=150
y=370
If you did it by graphing you would simply graph both equations on the same graph and the point that they intersect at would be your answer.
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one hundred divided by ten is ten.
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x² · x² - y ·y
(x² - y)(x + y) =
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here r is radius.
So the radius of this washer is equal to 6.1 mm (13.2 / 2)
Therefore the area of the washer
pi * 6.1^2
116.9 mm^2