There are 168 sweets altogether
<h3><u>Solution:</u></h3>
Richard, Henry and Gavin share some sweets in the ratio 5 : 4 : 3
Let "5a" be the share of Richard
Let "4a" be the share of Henry
Let "3a" be the share of Gavin
Richard gets 70 sweets
share of Richard = 70
5a = 70
<h3>a = 14</h3>
To find: number of sweets altogether
number of sweets altogether = share of richard + share of henry + share of gavin
number of sweets altogether = 5a + 4a + 3a
number of sweets altogether = 12a = 12(14) = 168
Thus there are 168 sweets altogether
<span>Lois used a credit card to make the purchase.
One can't purchase an item that costs more than the balance in a debit card. The debit card is equivalent to cash on hand. You can only spend what you have.
The credit card is equivalent to a loan. You don't have the money as of the moment but when you use the credit card, you owe the issuing bank the amount you've put on credit. The bank will pay the merchant and you will pay the bank. Interest is an additional expense when you pay your bill beyond the due date. The interest is applied on the amount outstanding upon the payment due date. </span>
4x + 2y = 20 in slope intercept form would be y = 2x + 10
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.
<em></em>Factors of 52 = 1, 2, 4, 13, 26, 52.
The greatest factor of 52 that is a prime number is 13.
