Answer:
64.3 miles ( D)
Step-by-step explanation:
Circular orbit height ( from the center of the earth ) = 100 mile
angle between satellite and earth = 50°
escape velocity = √2 * 17500 = 24748.73 miles /hour
distance between surface of earth and satellite
x = cos ∅
∴ Cos ∅ = x / 100
x = cos 50° * 100 ≈ 64.3 miles
Answer:
The weight of Paula's dog is 36 pounds.
Step-by-step explanation:
SO we would draw one box for the weight of Carla's dog. Then we would draw 3 boxes for the weight of Paula's dog.
To find how much does Paula's dog weigh we divide the total weight of the dogs by the total number of boxes.
So then you would calculate 48 divided by 4.
The weight of Carla's dog is 12 pounds.
Therefore the weight of Paula's dog is 3x12=3x10+3x2=30+6=36 pounds.
Total points is 23
<u>Explanation:</u>
Given:
Total number of baskets = 18
Let the number of 2 pointer shots be x
Let the number of 3 pointer shots be y
According to the question:
-1
The equation can be formed as:
On solving this equation further we get:
Putting the value of x = 4 in equation 1
Points for 2 pointer shots = 4 X 2
= 8
Points for 3 pointer shots = 5 X 3
= 15
Total points = 8 + 15
= 23
Therefore, total points is 23
Step-by-step explanation:
Let
x
be the kg of coffee of brand A in the mix and
y
be the kg of coffee of brand B in the mix.
The total kg must be
50
.
x
+
y
=
50
The cost per kg of the mix must br
$
7.20
. For this, the total cost of the mix will be
6
x
+
8
y
, so the total cost per kg of the mix will be
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by
6
to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need
30
kg of brand B in our mix. This means that
50
−
30
=
20
kg will be of brand A.
So for this, this can be written into the equation
(x = number of months, y = total cost).
To solve this problem, we need to plug in 1325 into the y-variable and solve from there.
Subtract 35 on each side to get
Then just divide by 50 on each side, and your answer should be
And because we cannot go past budget, we will have to round down to 25.
In context, the maximum amount of months Abbey can do is 25 months.
