Answer:
$1882.84
Step-by-step explanation:
Total cost = 109.25% = 109.25% x $1723.42 = $1882.84 (2dp)
Topic: Percentage
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Answer:
Angle I = 90 degrees
Angle J = 61 degrees
Angle K = 29 degrees
Step-by-step explanation:
Angle I is given
We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:
(5x+26) + (2x+15) = 90
Solve for X:
7x + 41 = 90
7x = 49
x = 7
Angle J = (5x + 26) = (5(7) + 26) = 61
Angle K = (2x + 15) = (2(7) + 15) = 29
Checking your work: 61 + 29 = 90
6+3x = 2(2 + x)
First we will need to open the parenthesis by multiplying the number that’s in front of them:
6+3x=4+2x
Now we need to separate the numbers from the X. By subtracting 2x from both sides:
6+3x=4+2x
-2x -2x
————————
6+x=4
Now we subtract 6 from both sides.
6+x=4
-6 -6
—————
X = -2
Answer:
70
Step-by-step explanation:
From the question given above, the following data were obtained:
TU = 8x + 11
UV = 12x – 1
Next, we shall determine the value of x.
From the question:
U is the midpoint. This means that TU and UV are equal i.e
TU = UV
With the above idea in mind, we shall determine the value of x as follow:
TU = UV
TU = 8x + 11
UV = 12x – 1
8x + 11 = 12x – 1
Collect like terms
11 + 1 = 12x – 8x
12 = 4x
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Next, we shall determine the length of TU and UV. This can be obtained as follow:
TU = 8x + 11
x = 3
TU = 8(3) + 11
TU = 24 + 11
TU = 35
UV = 12x – 1
x = 3
UV = 12(3) – 1
UV = 36 – 1
UV = 35
Finally we shall determine the length of TV. This can be obtained as follow:
TV = TU + UV
TU = 35
UV = 35
TV = 35 + 35
TV = 70
Therefore, the distance between my house and grandma's house is 70.
NOTE: Assume the distance is measured in kilometer (km)
This means that I will travel 70 km from grandma's house to my house.
divide 187.50 by 12.5 to find hourly rate
187.50/12.50 = 15 dollars per hour
now divide 465 by 15 for number of hours
465/15 = 31 hours
double check by multiplying 31 by 15 ( 31 x 15 = 465)
