Answer:
<em>Daniel does have enough money to make this car payment</em>
Step-by-step explanation:
<u>Addition and Subtraction</u>
Daniel has an initial balance of $460.63 on this checking account.
He must pay $85.23 for groceries.
The new balance is $460.63 - $85.23 = $375.40
He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.
He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.
Daniel has to make his $264 car payment. The balance is $346.19, thus:
Daniel does have enough money to make this car payment
It seems that the y-intercept is 1, so you will be adding 1 to the equation. When you make a chart, you find that each number grows by 1 as well.
From this information, you will find that the answer is
y = x + 1
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
Answer:
103.67 in³
Step-by-step explanation:
given Volume of cone is 1/3 * π * r² * h
here given r = 6/2 = 3 , height = 11 inch
using the formula = 1/3 * π * 3² * 11
=103.67 in³ or 33π in³
Answer:
Step-by-step explanation:
We are given:
And we want to find:
This is equivalent to:
So, we will evaluate g(-5) first, which yields:
So:
Then:
Therefore:
