Answer:
Step-by-step explanation:
Both teachers and children are people. If there were 4 teachers and 9 children already at the table, sitting down, when Jim arrived, then that would be 13 people at the table before he sit and 14 people after he sits.
Answer:
-1 1/2
Step-by-step explanation:
The bar should be 8 1/24 from the each edge of the door.
We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar.
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.
1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4
Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12
Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12
Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.
Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1 ⇒ reciprocal 1/2
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24
Step 3. Simplify the fraction.
193 / 24 = 8 1/24
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope, b is the y-intercept (when x=0).
the slope is the ratio y/x indicating how much y changes, when x changes for a certain amount of units when going from one point to another.
going from (7, 2) to (2, 12) :
x changes by -5 (from 7 to 2), y changes by +10 (from 2 to 12).
so, the slope is 10/-5 = -2
therefore, we have already
y = -2x + b
we get b by using the coordinates of one of the points as x and y. e.g. (7, 2)
2 = -2×7 + b = -14 + b
16 = b
so, the full line equation is
y = -2x + 16
Answer:
C is the correct option.
Step-by-step explanation:
We have been given that
stock XYZ opened at $6.12 and it closed at $6.88 and we have find the rate of change of stock.
Change in the value =| Initial - final |
Change in the value = |6.12-6.88|
Change in the value = 0.76
Hence, the rate of change of stock is given by
C is the correct option.
