Answer:
c, d. see attached
e. about 2.96 miles; about $1.63 million
Step-by-step explanation:
e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:
A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles
B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles
The difference in distance is ...
(BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles
The mall is about 2.96 miles farther from point B than from point A.
The additional cost is the difference in miles multiplied by the cost per mile:
(2.96 mi)($0.550 M/mi) = $1.63 M
The additional cost of the longer road is about $1.63 million.
To solve for variable equations or inequalities, we want to do two things:
1. Reduce one side to variables only
2. Reduce that side to the variable without coefficients.
The given equation is
.
Let's perform step 1: reducing one side to variables only. By adding
to both sides of the equation, we get
.
Now let's perform step 2: reducing that side to the variable without coefficients. Since the coefficient of
is
, we need to divide both sides of the equation by 4:
. Rounded to the nearest tenth,
.
So the value of
that satisfies
is
.
Answer:
A. Mean = 9.7 (take all the numbers and divide by 10)
Mode = 12
Range = 5
B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined
Answer:
y=2/3-1
Step-by-step explanation:
Two coordinate points are (-3,-3) and (3,1). If you use Y2-Y1/X2-X1, you will find the slope. Then use y=mx+b to find the equation.
More detailed:
1+3/3+3 ** It is + because when there are minus signs it turns to a plus
4/6 Then simplify it
2/3
Now that the slope is found, we need to use y=mx+b
(I used the point (3,1)) 1=2/3(3)+b
1=2+b
-1=b
I hope this is helpful gl on the test! :)
Answer:
The required number is 7.
Dividing by this gives the perfect square 676.
Step-by-step explanation:
Finding the prime factors:
2) 4732
2) 2366
7) 1183
13)169
13
So 4372
= 2^2 * 7 * 13^2
= 4 *169 * 7
= 676 * 7
Now 676 is a perfect square so the answer is 7.
= 1283 * 4.
Answer is 1283.
