Answer:
73 and 15
Step-by-step explanation:
I made two variables for this:
x = larger number
y = smaller number
Write an equation for "the sum of two number is 88" and you get:
x + y = 88
Write an equation for "four times the smaller number is subtracted from the larger number" and you get:
x - 4y = 13
I do not want an equation with both x and y in it, so I will rewrite the first one and use substitution in the second one:
x + y = 88 -- move the x to the other side
y = 88 - x
x - 4y = 13 -- substitute for y
x - 4(88 - x) = 13 -- multiply by 4
x - 352 + 4x = 13 -- move -352 to the other side, combine x's
5x = 365 -- divide by 5
x = 73
Now that I know x is 73, I go back to my first equation (x + y = 88) and I get:
73 + y = 88 -- subtract 73 from both sides
y = 88 - 73
y = 15
9514 1404 393
Answer:
Step-by-step explanation:
This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.
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1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.
-24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)
The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).
So, the left- and right-quadrants are filled with -8 and 3.
Blank 1 = -8
Blank 2 = 3
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2) You are given the factors, so all you need to do is form the product and sum.
Blank 1 = (-3)(-2) = 6
Blank 2 = (-3) +(-2) = -5
_____
<em>Additional comment</em>
Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.
Answer:
24
Step-by-step explanation:
2^3 * 3 = 8 * 3 = 24
Hope this helped!
It is given that, Mrs. Jones bought three 2-kilogram packages of flour.
And
And three 2 -kilogram packages means she bought 6 kilogram flour .
So we need to convert 6 kilogram flour into grams.
If,
So she bought 6000 grams of flour .
