For every 1 cup of blue paint, 
cups of red paint are needed
For every 1 cup of red paint, 
cup of blue paint is needed
For every 4 cups of red paint, 
cups of blue paint are needed
<em><u>Solution:</u></em>
Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint
Therefore, ratio is
<h3><u>For every 1 cup of blue paint, ___ cups of red paint are needed</u></h3>
Let "x" be the cups of red paint needed
Then we get,
This forms a proportion
Therefore, 10/4 cups of red are needed for 1 cup of blue
<h3><u>For every 1 cup of red paint, ___ cup of blue paint is needed</u></h3>
Let "x" be the cups of blue paint needed
Then, we get
This forms a proportion
Thus, 4/10 cups of blue are needed for 1 cup of red paint
<h3><u>For every 4 cups of red paint,___ cups of blue paint are needed</u></h3>
Let "x" be the cups of blue paint needed
Then, we get
This forms a proportion
Thus 16/10 cups of blue paint are needed for every 4 cups of red paint
The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.
- a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
- b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>
Reasons:
a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles
Sherrod's speed = 60 mph
Kamar's speed = 50 mph
The distance Sherrod drives = x
The distance Kamar drives = y
a. The miles driven by Sherrod and Kamar is given by the inequality;
b. Two possible combinations are;
First possible combination;
Sherrod drives for 10 hours, which gives;
Distance Sherrod drives = 60 mph × 10 hour = 600 miles
Kamar drives for 900 miles - 600 miles = 300 miles
Which gives;
Sherrod drives for 600 miles and Kamar drives for 300 miles
- <u>First combination; (600, 300)</u>
Second possible combination;
The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles
- <u>Second combination; (300, 600)</u>
Learn more about inequalities here:
brainly.com/question/22976364
Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
Try this explanation:
Note, in the 1st row given '9x', in the 2d one - '9(0)', then it means the substitution '0' instead of 'x'. In other words <u>x=0</u> !
answer: x-intercept is '0', y-intercept is '12'
