11 1/4
Step-by-step explanation:
the yards have to be converted to feet
1 yards = 3 feet
5 yards x 3 = 15 feet
Area of a rectangle = length x width
15 x 2 1/4
15 x 9/4 = 33 3/4
33 3/4 x 1/3 = 135 /12 = 11 1/4
ANSWER: y= 3x - 6
STEP-BY-STEP EXPLANATION:
(1,-3) and (3,3)
X1=1 X2=3
Y1= - 3 Y2=3
1) Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope formula:
m = 
m= 
m=
= 3
2)Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:
y= 3x+b
Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.
y= 3x+b point (1,-3)
-3= 3(1) + b
-3-3=b
-6=b
3)Write the answer.
Using the slope of 3 and the y-intercept of -6 the answer is:
y = 3x - 6
(1/40) - (1/x) = (1/60)
x = 1/(1/40) - (1/60)) =
<span>A.) 120</span> minutes
Its similar to the other question.
Answer:
The equation to this word problem are:
x ≥ 30 ...... (1)
x ≥ y ...... (2)
x + y ≤ 100 ..... (3)
Step-by-step explanation:
Here, the given question is INCOMPLETE.
A private school admits no more than 100 students every year. additionally, at least 30 of these students must be girls, x and the school admits at least as many girls as boys, y. What are the equation to this word problem.
Let us assume the number of girls admitted in the school = x
At least 30 of these students must be girls.
⇒ x ≥ 30 ...... (1)
Let us assume the number of boys admitted in the school = y
The school admits at least as many girls as boys.
⇒ x ≥ y ...... (2)
Also, TOTAL STUDENTS = No more than 100
So, Total Number of ( Boys + Girls) ≤ 100
⇒ x + y ≤ 100 ..... (3)
Hence, the the equation to this word problem are:
x ≥ 30 ...... (1)
x ≥ y ...... (2)
x + y ≤ 100 ..... (3)
x= 15
4x+8x: 180
12x: 180
x: 180/12
x: 15
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have a great day :)
