For this case, the first thing we must do is define variables.
We have then:
x: number of cabins
y: number of campers
We now write the equation that models the problem:
We know that there are 148 campers.
Therefore, substituting y = 148 in the given equation we have:
From here, we clear the value of x:
Therefore, the number of full cabins is:
Answer:
The number of full cabins is:
ANSWER
EXPLANATION
From the graph, the coordinates of Y are:
We want to find the image of this point after a dilation by a scale factor of -½ about the origin.
The rule for the dilation is :
To find the coordinates of Y', we plug the coordinates of Y.
The first choice is correct.
Answer:
13) 7 + x/2 = 10
14) 2x - 5 = 7
15) 4x - 1 = 11
16) 6x - 6 = 12
17) x/3 + 10 = 12
18) 2x + 7 = 1
19) 9 + x/7 = 11
20) 8(n - 3)
Step-by-step explanation:
The quotient of x and 2 = x ÷ 2 = x/2
The product is the result of multiplying two or more other numbers
The sum is the result of adding two or more numbers
The difference is the result of subtracting one number from another
13) 7 + x/2 = 10
14) 2x - 5 = 7
15) 4x - 1 = 11
16) 6x - 6 = 12
17) x/3 + 10 = 12
18) 2x + 7 = 1
19) 9 + x/7 = 11
20) 8(n - 3)
Answer:
idk a or c
Step-by-step explanation:
In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.
Given that:
mArc R V = mArc V U,
Angle S O R = 13 x degrees
Angle T O U = 15 x - 8 degrees
<h3>How to calculate the angle TOU ?</h3>
∠SOR = ∠TOU (Vertically opposite angles are equal).
Therefore:
13 x = 15x - 8
Subtracting 13x from both sides
13x - 13x = 15x - 8 - 13x
0 = 15x - 13x - 8
2x - 8 = 0
Adding 8 to both sides:
2x - 8 + 8 = 0 + 8
2x = 8
2x/2 = 8/2
x = 4
∠SOR = 13x
= 13(4)
= 52°
∠TOU = 15x - 8
= 15(4) - 8
= 60 - 8
= 52°
Let a = mArc R V = mArc V U
Therefore:
mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)
Substituting:
a + a + 52 = 180
2a = 180-52
2a = 128
a = 128/2
a= 64°
mArc R V = mArc V U = 64°
In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.
Learn more about angles here:
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