Answer: Slope = -2.667/2.000 = -1.333
x-intercept = 5/4 = 1.25000
y-intercept = 5/3 = 1.66667
Step-by-step explanation: Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.667 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - 1.667 = -2.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
The value of RS in the line segment is 20
To solve for RS :
From the line segment attached :
The information given is :
RS = 3x - 16
ST = 4x - 8
RT = 60
RT = RS + ST
60 = 3x - 16 + 4x - 8
60 = 7x - 24
60 + 24 = 7x
84 = 7x
Divide both sides by 7
84/7 = x
x = 12
RS = 3x - 16
RS = 3(12) - 16
RS = 36 - 16
RS = 20
HENCE, RS = 20
Learn more : brainly.com/question/24622406
All you do is multiply across. For example...
1/3 x 2/5
Multiply the numerators and denominators.
(1 x 2) / (3 x 5)
= 2/15
If you need to, you can simplify but in this case you don't have to.
I hope this helps love! :)
Answer:
142.4
Step-by-step explanation:
<span>Q1. Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, I, which costs $4 a bottle, and new brushes, b, which are $15 each.
Solution:
In the current situation, the total amount is $100 and the cost of an ink bottle is $4.Whereas, the cost of each brush is $15.She cannot spend more than $100.
</span>Therefore,
The equation which best describes the situation is:
4i + 15b ≤ 100
Q.<span>2 Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t. He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day, at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day. Write 5 inequalities that represent the explicit and assumed constraints in the problem.
Solution:
</span>He sells shorts for $14 and T-shirts for $6 each
14s + 6t
It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts.
0.15t + 1s ≤ 12
He must design at least 12 items each day
s + t ≥ 12
he cannot design more than 20 items in one day.
s + t ≤20
