Answer:
There are 178 more boys in Barlow school as compared to Willow school.
Step-by-step explanation:
We are given the following in the question:
Barlow school:
Total number of students = 873
Number of boys =
Willow school:
Total number of students = 630
Number of girls =
Number of boys =
Total number of students - total number of girls
Thus, Barlow school has greater number of boys than Willow school.
Difference between the number of boys =
Thus, there are 178 more boys in Barlow school as compared to Willow school.
Answer:
5 5/7
Step-by-step explanation:
-4•6/7•-5/3
Put the numbers as fractions
-4/1•6/7•-5/3
Rewriting
-4/1 * 6/3 * -5/7
Simplifying the middle fraction
-4/1 * 2/1 * -5/7
Multiply the first two terms
-8/1 * -5/7
Multiplying
40/7
Changing from an improper fraction to a mixed number
7 goes into 40 5 times with 5 left over
5 5/7
Answer:
x = 12
y = 6√3
Step-by-step explanation:
✅Apply the intersecting secant theorem to find x. Thus:
6(6 + x) = 7(7 + 8³/7)
Convert the mixed fraction to improper fraction
6(6 + x) = 7(7 + 59/7)
36 + 6x = 49 + 59
36 + 6x = 108
6x = 108 - 36
6x = 72
Divide both sides by 6
x = 72/6
x = 12
✅Apply the tangent-secant theorem to find y. Thus:
y² = 6(6 + x)
Plug in the value of x
y² = 6(6 + 12)
y² = 6(18)
y² = 108
y = √108
y = 6√3
The answer is 54 square units.
let the vertex in quadrant I be (x,y)
<span>then the vertex in quadratnt II is (-x,y) </span>
<span>base of the rectangle = 2x </span>
<span>height of the rectangle = y </span>
<span>Area = xy </span>
<span>= x(27 - x</span>²<span>) </span>
<span>= -x</span>³<span> + 27x </span>
<span>d(area)/dx = 3x</span>²<span> - 27 </span><span>= 0 for a maximum of area </span>
<span>3x</span>²<span> = 3 x 3</span>² = <span>27 </span>
<span>x</span>²<span> = 9 </span>
<span>x = ±3 </span>
<span>y = 27-9 = 18 </span>
So, the largest area = 3 x 18 = 54 square units
Answer:
550a + 590b = 1275
Step-by-step explanation:
We use the following relation to solve this question:
In which v is the velocity, d is the distance and t is the speed.
In this question, we find the distance, so we use:
A plane is flying to Metro City. The plane started its journey 1275 miles from Metro City.
This means that 
.
Write an equation in standard form to represent the situation if the plane travels a hours at 550 mph and b hours at 590 mph.
This means that 
.
Which equation is correctly written in standard form to represent this scenario?
1275 = 550a + 590b
550a + 590b = 1275
