Answer:
The rules for adding and subtracting signed decimals are almost the same as the rules for adding and subtracting integers. When dealing with decimals, you need to be especially aware that your decimal points are lined up so that you do not accidentally add or subtract in the wrong place.
Answer:
90 people
Step-by-step explanation:
Total: $775
DJ: $250
Cake: $75
Unknown party guests each getting $5
Let the unknown be x
We can form an equation; <em>DJ + Cake + x number of party guests = $775</em>
<em>250 + 75 + 5x = 775</em>
<em>325 + 5x = 775</em>
Subtract 325 from <u>both sides of the equals sign</u>.
<em>5x = 450</em>
Make <em>x</em> the subject and divide both sides by 5
<em>x = 90</em>
There were 90 party guests.
Answer:
See below.
Step-by-step explanation:
match the vocabulary word to its correct definition
1 additive identity
—the number 0 (for the numbers)
2 equation
—a mathematical sentence whose verb is ‘equal’ (=)
3 multiplicative identity
—the number 1 (for the real numbers
4 open sentence
—an equation that contains a variable or variables
5 symmetric property
—when the sides of an equation are interchanged, an equivalent equation is formed ; if a=b, then b=a
Answer:
x= 15 songs were downloaded
Equation: $0.99x+$25=39.85
Answer:
Length = 150 yards
Width = 100 yards
Step-by-step explanation:
We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.
It will take the shape of a rectangle, with a dividing fence down the center.
Let W and L, Width and Length of the larger enclosure.
See attachment.
W= Area of the larger enclosure.
The perimeter is 2W + 2L.
The dividing fence is 1W
We know that we only have 600 yards of fence, so:
2W + 2L + 1W = 600 yards
Area = W x L
---
3W + 2L = 600 (yards)
2L = 600 -3W
L = (600-3W)/2
L = 300 -(3/2)W
---
Use this expression in the Area calculation:
Area = W x L
Area = W x (300 -(3/2)W)
Area = 300W -(3/2)W^2)
To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.
Area' = 300 -2(3/2)W)
0 = 300 - 3W
3W = 300
W = 100 yards
Since 3W + 2L = 600
L = (600 - 3W)/2
L = (600 - 3(100))/2
L = 150 yards
Area = 150*100 = 15,000 yards^2
