Answer:
Option E: 24.
Step-by-step explanation:
When Caleb (C) has 20 more books than Danica (D), we have:
(1)
Now, when Caleb gives Danica half of his books:
(2)
Danica will have 4 more books than Caleb, so:
(3)
Also we have that:
(4)
By entering equation (2) and equation (3) into equation (4) we have:
(5)
From (1) we have:
(6)
By entering (6) into (5):
And, from (6):
Therefore, the correct option is E, Caleb had to start with 24 books.
I hope it helps you!
Buns cost .75 so 7 buns. If you need an equation 2x + 1.25= 15.25
One way to solve the system is to <u>substitute</u> a variable.
<u>Explanation:</u>
One approach to solve an equation is by substitution of one variable. Right now, a condition for one factor, at that point substitute that arrangement in the other condition, and explain. All value(s) of the variable(s) that fulfills a condition, disparity, arrangement of conditions, or arrangement of imbalances.
The technique for tackling "by substitution" works by settling one of the conditions (you pick which one) for one of the factors (you pick which one), and afterward stopping this go into the other condition, "subbing" for the picked variable and fathoming for the other. At that point you back-explain for the principal variable.
Answer:
$95.77
Step-by-step explanation:
We are told that Tim wants to purchase a watch for $98.99.
He has a coupon that will discount the watch by 10%. So price of watch after using coupon will be,
Now let us find the price of watch after sales tax of 7.5%.
Therefore, Tim will pay $95.77 at the register.
40/12 = 100/x
Cross-multiply and get:
40x = 1200
Divide both sides by 40:
x = 30
It will take 30 minutes for the machine to weave 100 inches of fabric.
