A) The expression can be simplified, expanded, or factored as you wish.
.. = 3(10m +5)
.. = 15(2m +1)
.. = 30m +15
or, it can be written in any number of fairly useless ways.
.. = m +29m +1 +14
.. = m +2 + 28m +13 + m
B) For all of them, the distributive property, associative properties of addition and multiplication, commutative properties of addition and multiplication are used. The precise list of properties and the order of their use depends on the precise sequence of rewrites you choose (and how detailed you want to get).
.. 3(m +9m +5) . . . . . commutative property of addition (swap 5, 9m)
.. 3((1 +9)m +5) . . . . . distributive property (possibly with commutative property of multiplication. The distributive property is usually written a(b+c) = ab+ac. We have the operand order swapped: ba +ca = (b+c)a.)
.. 3(10m +5) . . . . . . . properties of numbers: 1+9=10; substitution property (10 substituted for 1+9) of equality
C) Let m=7
Original: 3(7+5+9*7) = 3(7+5+63) = 3(12+63) = 3(75) = 225
Rewrite: 3(10*7 +5) = 3(70 +5) = 3(75) = 225
225 = 225 . . . . so the rewrite works for m=7.
600 k (Kilograms to grams is:
600000 g (grams)
In this item, we are not given with the figure but knowing that these lines ought to be perpendicular then we will be able to derive the relationship between the slopes of the line.
The slopes of the perpendicular line are the negative reciprocals of one another. If we represent the slopes of the lines as m₁ and m₂, the relationship can be written in the form,
(m₁)(m₂) = -1
We are given with one of the slopes. To determine the value of the second slope then,
m₂ = -1/m₁
m₂ = -1/(2/5)
m₂ = -5/2
<em>ANSWER: m₂ = -5/2</em>
Answer:
Joy has not enough soup
Explanation:
If Joy is serving correct to nearest 10 with 280 ml maximum.
Maximum soup served by her in one turn = 290 ml
Number of people she is serving = 22
Amount of soup required = 22 x 0.29 = 6380 ml = 6.38 L
Amount of soup she has = 6.5-0.5 L=6 L
Amount of soup she has < Amount of soup required
So, Joy has not enough soup.
The pattern goes like this:
one number, the next number is the first number doubled, then the third number is the second number + 1, and so on.
So, you see that 3 * 2 = 6, and then 6 + 1 = 7, and so on. This means that you have to multiply 63 by 2, and get 126, and then add 1 to get 127.
So, the next number in the pattern is 126.
