Answer:
Step-by-step explanation:
first option
Just substitute in values into the equation corresponding to the x,y:
To solve for a missing y value, substitute the corresponding x value, so 0, 2.33, and 6.25.
To solve for x, set the equation equal to the x and solve.
x's:
0
.25
2.33
4.5
6.25
y's:
5
5.75
14.99
18.5
23.75
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By scenario, you could make that equation 3x + 5 the rental time of a very cheap carper cleaner service. They charge 5 dollars as the static fee, and 3 dollars per hour
Answer:
<h2><em><u>126</u></em></h2>
Step-by-step explanation:
<em>In</em><em> </em><em>number</em><em> </em><em>4</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>figure</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>parallelogram</em><em>, </em>
<em><u>So</u></em><em><u>,</u></em>
Base of the parallelogram = 14
Height of the parallelogram = 9
<em><u>Therefore</u></em><em><u>, </u></em>
Area of the parallelogram = <em><u>Base</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>Height</u></em><em><u> </u></em>
= 14 × 9
= 126
<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>figure</u></em><em><u> </u></em><em><u>in</u></em><em><u> </u></em><em><u>question</u></em><em><u> </u></em><em><u>no</u></em><em><u>.</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>12</u></em><em><u>6</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
Answer:
134 cubic centimeters
Step-by-step explanation:
The extended part is basically the volume of HALF A SPHERE.
First, the volume of full sphere is:
Hence, the half sphere volume would be:
We know the diameter is 8, radius is HALF OF THAT, so
Radius = 8/2 = 4
Substituting, we find (remembering to use 3.14 as pi):
To the nearest cubic centimeter, the answer is:
134 cubic centimeters