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Dafna11 [192]
3 years ago
12

Mr. Sanchez earned a salary of $49,375 last year. He expects to earn 11% more this year. Which is closest to the salary Mr. Sanc

hez expects to earn this year? Select one:
Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0
49,375*0.11 = 5,431.25 , then add the original salary which is 49,375 and the answer is $54,806.25
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What is 3x+4y=16 for x
sergiy2304 [10]
3x + 4y = 16           Write original equation     
3x + 4y - 4y = -4y + 16          Subtract 4y from each side
3x = -4y +16                    Simplify
3x/3 = -4y/3 + 16/3      Divide each side by three
x = -4y/3 +16/3             Simplify

I hope this helps!

4 0
3 years ago
A pitcher of water contains 1/4 of water. The water is poured equally into 5 glasses. How many liters of water are in each glass
IRINA_888 [86]
Hey there!

To solve this, divide the numbers 1/4 and 5 . . .

1/4 = 1/4

5 = 5/1

1 x 1 = 1

4 x 5 = 20

= 1/20

1/20 is already in it's simplest form, so it doesn't need to be simplified.

There are 1/20 liters of water in each glass.

Hope this helps you.
Have a great day!
7 0
3 years ago
Read 2 more answers
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
What are the x and y intercepts of the below equation
lozanna [386]
Plug in 0 for x
0 - 6y = 30
y = -5
Y intercept: (0,-5)

Plug in 0 for y
5x = 30
X = 6
X intercept: (6,0)
3 0
3 years ago
Please help me explain and answer this
attashe74 [19]

Answer:

16

Step-by-step explanation:

5 0
3 years ago
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