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3 years ago

3/4 as a percentage

Mathematics

1 answer:

nevsk [136]3 years ago

6 0

3/4 as a percentage is 75% and as a decimal .75

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The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?

Korvikt [17]

Answer:

$A'(1,-5)$

Step-by-step explanation:

The coordinates of the given quadrilaterals are

$A(-5,1),B(-4,3),C(-2,1),D(-3,-1)$

The reflection in the line $y=x$ has the mapping,

$(x,y)\rightarrow(y,x)$

We just have to swap the coordinates.

This implies that,

$A(-5,1)\rightarrow A'(1,-5)$

$B(-4,3)\rightarrow B'(3,-4)$

$C(-2,1)\rightarrow C'(1,-2)$

$D(-3,-1)\rightarrow D'(-1,-3)$

Therefore the correct answer is A.

$A'(1,-5)$

8 0

3 years ago

Read 2 more answers

Bicycle Inc. rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours, h, did she rent the bike?

N76 [4]

Answer:

She spent 8 hours with the bike. She did rent the bike.

Step-by-step explanation:

The $11 fee is only a one time payment. The $5 is every hour so 5x8 is 40+11 is 51.

5 0

3 years ago

Solve -3(x+5) = -9 solve

Bumek [7]

-3(x + 5) = -9
-3x + -15 = -9
-3x - 15 = -9
-3x - 15 + 15 = -9 + 15 (we added 15 to both sides of the equation because now, the 15 on the left side cancels out).
-3x = 6
-3x/-3 = 6/-3
X = -2
So, in conclusion, X is equal to -2.

5 0

3 years ago

Read 2 more answers

Where does the oxygen that is used during cellular respiration in animals

Softa [21]

Answer:

A. Air that is breathed in :)

6 0

3 years ago

Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

3 years ago