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3 years ago

Write "100 decreased by a number k" as an algebraic expression.

Mathematics

2 answers:

shtirl [24]3 years ago

5 0

Answer: 2 or B hope this helped!

rewona [7]3 years ago

4 0

It is the last one 100-k

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Kathy lives directly east of the park. The football field is directly south of the park. The library sits on the line formed bet

enyata [817]

Look at the picture in the attachment.

Using the Pythagorean theorem, set up a system of three equations:
$x^2+y^2=(12+9)^2 \\
12^2+z^2=x^2 \\
9^2+z^2=y^2 \\ \\
x^2+y^2=441 \\
144+z^2=x^2 \\
81+z^2=y^2$

$\hbox{substitute } 144+z^2 \hbox{ for } x^2 \hbox{ and } 81+z^2 \hbox{ for } y^2 \hbox{ in the first equation:} \\
144+z^2+81+z^2=441 \\
225+2z^2=441 \\
2z^2=441-225 \\
2z^2=216 \\
z^2=\frac{216}{2} \\
z^2=108 \\
z=\sqrt{108} \\
z=\sqrt{36 \times 3} \\
z=6\sqrt{3} \\ z \approx 10.39$

$81+z^2=y^2 \\
81+108=y^2 \\
189=y^2 \\
\sqrt{189}=y \\
\sqrt{9 \times 21}=y \\
y=3\sqrt{21} \\ y \approx 13.75$

a. The library is approximately 10.39 miles (exactly: 6√3 miles) from the park.
b. The park is approximately 13.75 miles (exactly: 3√21 miles) from the football field.

6 0

3 years ago

Read 2 more answers

Suppose you have only hundreds, tens, and ones blocks. What are two different ways you could make the number 1,718

AfilCa [17]

<span>So I only have ones, tens and hundreds block. I need to find a way how can I fit the given number 1 718.
=> Since I have hundreds block, I can divide 1 718 by 100
=> 1 718 / 100, how many 100s are there in 1 718
=> 17 hundreds
=> now we only have 18 left
=> 18 / 10, how many 10s are there in 18
=> 1 tens
=> Now we only have 8 left
=> 8 / 1, how many ones are there in 8
=> 8
=> 17 hundreds, 1 tens, and 8 ones.</span><span>

</span>

3 0

4 years ago

20 POINTS!!

svet-max [94.6K]

9514 1404 393

Answer:

P = 3x +32

Step-by-step explanation:

If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...

(x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x

where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.

As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...

A = LW = P(2x)

We want this to be the same as the existing area, so ...

2Px = 6x^2 +64x

P = 3x +32 . . . . . divide by 2x

6 0

3 years ago

What is the solution to this system of linear equations 3x 2y 14 5x y 32

Leya [2.2K]

After simplification, the solution of this system of linear equation is (3.85, 12.75).

In the given question we have to find the solution to this system of linear equations 3x-2y=14 or 5x+y=32.

The given system of linear equations is:

3x-2y=14.......................(1)

5x+y=32.......................(2)

Multiply equation 2 by 2, we get

10x+2y=64.......................(3)

Add equation 3 by 1, we get

10x+2y+3x-2y=64-14

13x=50

Divide by 13 on both side, we get

x=3.85

Now put the value of x in equation 2

5(3.85)+y=32

19.25+y=32

Subtract 19.25 on both side, we get

y=12.75

So, the solution of this system of equation is (3.85, 12.75).

To learn more about system of linear equation link is here

brainly.com/question/27664510

#SPJ4

6 0

1 year ago

Which is greater 4/3 or 5/3

Amiraneli [1.4K]

5/3 is greater improper fraction comes out to 1 2/3

8 0

3 years ago

Read 2 more answers