Answer:
She will use 13 quarter cups of oatmeal
Step-by-step explanation:
3 1/4 = 13/4
x/4 = 13/4
4(x/4) = 4(13/4)
x = 13
Answer:
.
Step-by-step explanation:
The minimun distance between a point and a plane is the perpendicular distance. The formula is
d = 
where
, A=4, B=3, C=1 and D=-10. So, the distance is
d = 
d = 
d =
.
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
Answer:
Step-by-step explanation:
Put the numbers in place of the corresponding letter and do the arithmetic.
y -10 = 8 -10 = -2
12 -z = 12 -(-12) = 24
3 -x = 3 -(-3) = 6
z -24 = -12 -24 = -36
The additive inverse of a number is that number with its sign changed.
The additive inverse of 5/8 is -5/8, so that is the value of <em>m</em>.
The sum of a number and its additive inverse is <em>zero</em>. (This is actually the definition of <em>additive inverse</em>.)
5/8 is found at 5/8 on the number line.
m is found at -5/8 on the number line.
"sum" is found at 0 on the number line.