Simplifying
15 + -5(4x + -7) = 50
Reorder the terms:
15 + -5(-7 + 4x) = 50
15 + (-7 * -5 + 4x * -5) = 50
15 + (35 + -20x) = 50
Combine like terms: 15 + 35 = 50
50 + -20x = 50
Add '-50' to each side of the equation.
50 + -50 + -20x = 50 + -50
Combine like terms: 50 + -50 = 0
0 + -20x = 50 + -50
-20x = 50 + -50
Combine like terms: 50 + -50 = 0
-20x = 0
Solving
-20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-20'.
x = 0.0
Simplifying
x = 0.0
Answer:
Step-by-step explanation:
This arc has the same measurement as the central angle. The central angle is LON where O is the center of the circle.
Point M forms an angle that is 1/2 the central angle when M is on the circumference and opposite the 150o angle. Therefore M is the vertex of a 75 degree angle.
76x - 1 = 75 Add 1 to both sides.
76x = 76 Divide by 76
x = 1
Answer:
18
Step-by-step explanation:
Volume is a product of cross-sectional area and height and relresented as V=Ah where V is volume, A is cross-sectional area and h is height.
For the square, since each has a thickness of 6mm then for 24 of them the height will be 24*6=144 mm
Since the volume and cross sectional area of the triangle should be the same, then the height should also be the same.
Since for the triangle each has a thickness of 8mm then the number requred to achieve a height of 144 mm will be 144/8=18 stacks
The marked price of the wrist watch after the trader sold a wrist watch for $3150 after giving a 10% discount is $3500.
First, let us understand the percentage:
A percentage is a fraction of a whole expressed as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent.
To determine a percentage, we need to divide the portion of the whole by the whole itself and multiply by 100.
Let the marked price be x.
So,
According to the question;
x - x * 10% = 3150
x - x * 10/100 = 3150
100x - 10x / 100 = 3150
90x = 3150 * 100
x = 3150 * 100 / 90
x = 3500
So, the marked price is $3500.
Thus, the marked price of the wrist watch after the trader sold a wrist watch for $3150 after giving a 10% discount is $3500.
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Answer:
231 feet of fabric
Step-by-step explanation:
Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot.
Converting from inches to foot
1 inch = 1/12 foot
36 inches = x feet
x = 36 × 1/12 foot
x = 3 feet
Hence, each curtain = 3 feet
If Gina's curtain company wants to make 77 curtains, how many feet of fabric will she need?
This is calculated as:
1 curtain = 3 feet
77 curtains = x
Cross Multiply
x = 77 × 3 feet
x = 231 feet
Hence, she would need 231 feet of fabric
