r
A random sample of Washington, D.C.
residents is conducted to see how residents
commute to work. Use the graph below to
answer questions 10-12
TRANSPORTATION TO WORK
20
NUMBER OF WORKERS
20
CAR
WALK METRO BIKE
MODE OF TRANSPORTATION
10. What percent of workers surveyed ride
the metro to work?
on
M

Answer:

180:90

Step-by-step explanation:

Answer:

Step-by-step explanation:

15x+2=9x+20

6x=18

x=3

if it's asking for the angle measure, you will just do:

15*3+2=47

Answer:

I can only guess that by x^2-2x-24 you mean the entire denominator.  In cases like this is is important to use parentheses to remove any doubts.  For example:

(x+8) / (x^2-2x-24).

This rational expression is undefined at any x for which the denominator, x^2-2x-24, is zero.  

x^2-2x-24 factors into (x+4)(x-6).  The roots are -4 and +6.  

Thus, the given expression is undefined at {-4,6} (set notation).

Step-by-step explanation:

Answer:

the answer might be 125,000 yards maybe

Answer:

x=4

Step-by-step explanation:

Answer:

divided by 100

Step-by-step explanation:

8,000 / 100 = 8 in the tens, or 80

Answer:

x = -6

Step-by-step explanation:

10 = 5(x+8)

=> 5(x+8) = 10

=> 5x + 40 = 10

=> 5x = 10 - 40

=> 5x = -30

=> x = -30/5

=> x = -6

Answer:

x=9

Step-by-step explanation:

0.6x+2.7=0.9x

move the terms

0.6x-0.9x=-2.7

collect like terms

-0.3x=-2.7

divide both sides

x=9

Answer:

x = 48

Step-by-step explanation:

equation:

180 - x = 132

subtract 180 from each side:

180 - 180 - x = 132 - 180

-x = -48

divide both sides by -1:

[tex]\frac{-x}{-1} = \frac{-48}{-1}[/tex]

x = 48

to check, substitute 48 for x:

180 - x = 132

180 - 48 = 132

132 = 132

Answer:

Step-by-step explanation:

Use the triangle inequality which states that for any triangle, the sum of the lengths of any two sides must be greater than to the length of the remaining side.

Combine the above three inequalities:

Answer:

[tex]x > 14[/tex]

Step-by-step explanation:

By triangle inequality;

[tex]2x + 1 + x + 16 > 2x + 31 \\ 2x + x - 2x > 31 -17 \\ x > 14[/tex]

The possible values of x is any number above 14, that is, x=[ 15, 16, 17, 18, .....}, if x is integer.

Answer:

39.25 unit²

Step-by-step explanation:

Radius of circle = diameter/2 = 10/2 = 5

Area of a circle = πr²

Area of ½ circle = ½ πr² = ½ x (22/7) x 5²

Area = 39.25 unit^2

Answer:

20 kids

Step-by-step explanation:

so that totals to 11 (parents and kids)

55/11=5

4x5=20

20 kids

Answer:

a)9cm

b)

[tex]3\pi[/tex]

c)60°

Answer:

option B is correct

Step-by-step explanation:

Hope it helps you

Answer:

The length is 30 cubic yards.

Step-by-step explanation:

To find volume you use equation V=LxWxH

Since we already know the height, width, and volume we can input them into the equation.

18,720=L x 24 x 26

As you can see, the length is still unknown.

To figure it out though, you can multiply the height and width of the prism,

24 x 26 = 624

And then divide the volume, 18,720 by it.

18,720/624 = 30

Thus, your length is 30 cubic yards.

Answer:

17.7

Step-by-step explanation:

i could be wrong

Answer:

a = 1, b = 2, and c = 3

Step-by-step explanation:

5 ÷ 8 ÷ 3 ÷ 8

5 ÷ 8 × 8 ÷ 3

The 8 cancels out.

5 ÷ 3 or 5/3

5/3 = 1 and 2/3

Look at the image for another method.

Answer:

let cost of washer be x

cost of dryer be $745-x

we have

cost of washer =$95+($745-x)

x=$95+$745-x

x+x=$840

2x=$840

x=$840/2=$420

the cost of washer =$420

=$745-x=$745-420=$325

$325 is the cost of dryer.

Answer:

84%

Step-by-step explanation:

21 correct + 4 wrong = 25 questions in total

[tex]\frac{21}{25}[/tex] x 4 = [tex]\frac{84}{100}[/tex]

[tex]\frac{84}{100}[/tex] = 0.84

0.84 = 84%

Answer:

240

hope this helps and pls give brainliest!

Answer:

The least common multiple (LCM) of 16, 30, and 40 is 240.

(Hope this helps! Btw, I answered first. Brainliest please!! :D)

Answer:

I think question should change like this.

(5a-4b)(5a+4b)

(5a)(5a+4b) + (-4b)(5a+4b)

25a² + 20ab - 20ab -16b²

25a²- 16 b²

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

hope this helps

I think I took the test. I'm not sure tho.

Answer:

answer is D)10

Step-by-step explanation:

there's a square in the corner, and that tells you this angle is a right angle which is 90degrees

so 90-60=3x

30=3x

x=10

Answer:

A. 30

x=30

Step-by-step explanation:

That is a 90 degree angle. 90-60=30

Answer:

D (6)

Step-by-step explanation:

FIRST METHOD

1. Use vector analogy (If you learnt)

Consider WS as a vector

x component of WS is 5

y component of WS is 3

2. Plug in numbers (Pythagorean Theorem)

[tex]\sqrt{5^{2}+3^{2}}[/tex] ≈ 5.83

Nearest integer is 6

SECOND METHOD

1. Distance between two points formula

[tex]d (length) = \sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]

W = (x1,y1) S = (x2,y2)

W = (-2,-1) S = (3,2)

2. Plug in numbers

[tex]d (length) = \sqrt{(-2-3)^{2}+(-1-2)^{2}}[/tex]

3. d ≈ 5.83

Answer:D

Step-by-step explanation:

Step-by-step explanation:

$1312.50×1.5%÷100

=20.25 that's taxable income

or

you can say $1312.50- 1.5%

=20.25

Answer:

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

[tex]v = -1.701*10^8[/tex]

Step-by-step explanation:

Given

[tex]T = \frac{37v}{6v-5.4m}[/tex]

Solving (a): Make v the subject

[tex]T = \frac{37v}{6v-5.4m}[/tex]

Cross Multiply:

[tex](6v-5.4m)T = 37v[/tex]

Open bracket

[tex]6vT - 5.4mT = 37v[/tex]

Collect Like terms

[tex]6vT - 37v= 5.4mT[/tex]

Factorize:

[tex](6T - 37)v= 5.4mT[/tex]

Make v the subject

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

Solving (b):

[tex]T = 4.5[/tex]

[tex]m = 7 * 10^7[/tex]

So, the expression becomes:

[tex]v = \frac{5.4mT}{6T - 37}[/tex]

[tex]v = \frac{5.4*7*10^7*4.5}{6*4.5 - 37}[/tex]

[tex]v = \frac{170.1*10^7}{27 - 37}[/tex]

[tex]v = \frac{170.1*10^7}{-10}[/tex]

[tex]v = -17.01*10^7[/tex]

[tex]v = -1.701*10*10^7[/tex]

[tex]v = -1.701*10^8[/tex]

Answer:

Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).