Answer is 300
first change the 17% to decimal value, which is 0.17
Put everything in equation: 51=0.17x
then solve for it
51=0.17x
x=51/0.17
x=300
the number is 300
Answer:
16
Step-by-step explanation:
You have: 14 / (7/8)
To divide by fractions, all you have to do is take the reciprocal of the second number, aka flip it
so, if you do that, you get 14 * 8/7
14*8=112, and 112/7 is 16
Answer:
Step-by-step explanation:
Following changes will be there when the figure is transformed by the given rules.
1). Rule for transformation has been given as,
(x, y) → (x, -y)
Reflection across x axis.
2). (x, y) → (-x, -y)
Rotation of 180° about the origin.
3). (x, y) → (x - 4, y)
Shifted 4 units left horizontally.
4). (x, y) → (x, y + 3)
Shifted vertically up by 3 units
5). (x, y) → (x - 1, y + 4)
Shifted 1 units left horizontally and 4 units up vertically.
6). (x, y) → (4x, 4y)
Dilated by 4 units.
Answer:
Step-by-step explanation:
<u><em>Length</em></u>
1 inch = 25 feet
7 1/4 inches = x feet
1 * x = 25 * 7 1/4
x = 25 * 7.25
Length = 181.25 feet
The length is 181.25
<em><u>hypotenuse length</u></em>
The diagonal = 10 1/2 inches
The diagonal = 10.5 inches
hypotenuse = 10.5 * 25 = 262.5 feet
<em><u>Width</u></em>
L^2 + W^2 = Diagonal^2
181.25² + W² = 262.5²
32851.5625 + W² = 68906.25 Subtract 32851.5625 from both sides
W² = 68906.25 - 32851.5625
W^2 = 36054.6875 Take the square root of both sides
W = 189.88
<u><em>Area</em></u>
Area = L * W
Area = 181.25 * 189.88
Area = 34415.88 square feet.
Answer: 5y + 4x = - 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their gradients = -1.
If the gradient of the first line is
and the gradient of the second line is
, if the lines are perpendicular, them
x
= -1 , that is
= 
The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.
The equation in slope -intercept form is given as :
y =mx + c , where m is the slope and c is the y - intercept.
Writing the equation in this form , we have
5x - 4y = + 3
4y = 5x -+3
y = 5x/4 + 3/4
comparing with the equation y = mx + c , then
= 5/4
Which means that
= -4/5 and the line passes through the point ( -5 , 2 ).
Using the equation of line in slope - point form to find the equation of the line;
y -
= m ( x -
)
y - 2 = -4/5 ( x +5)
5(y - 2 ) = -4 ( x + 5 )
5y - 10 = -4x - 20
5y + 4x = - 10