Using the fact that [tex]a - b = -1(b-a)[/tex] simplify the following: [tex]\frac{3}{1-x} - \frac{2}{x-1}[/tex]

Answer :

663 Pennies can fit into a 22-inch circle

The required number of pennies fit in the circle is 13.

The formula of the area of the circle is [tex]A=\pi r^2[/tex]

As we know that the standard radius of a penny is 0.75 inch

So, the area of the one penny is,

[tex]A=\pi r^2\\A=3.14\times (0.75)^2\\A=1.77[/tex]

So, the total number of pennies fit in the 22-inch circle is,

[tex]n=\frac{22}{1.77} \\n=12.49\\n\approx 13[/tex]

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Answer:

2.4 yards a day

Step-by-step explanation:

32,190 inches = 894.167 yards

894.167 / 365 = 2.4 yds/day

The conversion of 32,190 inches /year to yards/day yields: 2.4 yards/day

To convert 32190 inches/year to yards per day;

In essence, since 1 inch = 0.0278 yards.

Therefore, we have;

However, 365 days make one year;

Therefore,

= 2.4 yards/day.

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Answer:$ 44.70

Step-by-step explanation: 250/1.3687 = 182.655-150 =32.655 times 1.3687

Answer:

He has 45 USD left.

Step-by-step explanation:

250 USD = 212 Euros. 250 - 212 = 38. 38 euros - about 45 USD, rounded.

Answer:

x=7

Steps:

12=x+7-2

12= x + 7 - 2

12 = x + 5

-x = 5 - 12

-x = -7

x = 7

Answer:

X = 5

Step-by-step explanation:

multiply what is in the ( )

-2 ( -2)

-2 ( 9)

3x -5 +2x -18 = 2

combine like terms

5x -23 = 2

add 23 to both sides

5x = 25

divide 25 by 5

X = 5

Answer:

7884 Centemeters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.

First we will need to convert 4meters to inches

From the conversion factors given,

1 foot (ft) = 0.305 meters (m)

x ft = 4metres

cross multiply

x * 0.305 = 4*1

x = 4/0.305

x = 13.115ft

4 metres = 13.115ft

Then we will convert 13.115ft to inches

From the conversion factors,

1 foot (ft) = 12 inches (in)

13.115ft = y

cross multiply

y = 13.115*12

y = 157.377 inches

Hence 4 metres = 157.77inches.

For 1 month to hour

First we need to convert month to days and from the conversion factor

1 month = 30 days

Next is to convert 30days to hours

Since 1 day = 24hours

30days = z

z = 30* 24

z = 720hours

Hence 1 month = 720hours

On converting 4metres/month to inches/hour

4metres/month = 157.77inches/720hours

4metres/month = 0.219inches/hour

Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour

Step-by-step explanation:

let the odd integers be a, a+2.

a+2=8+3a

collect like term

a-3a=8-2

-2a=6

a=-3

so the integers are -3, -1

Step-by-step explanation:

Distance to school = (6km/h)(1/3h) = 2km

2km in 15 minutes = 8km in 60 minutes.

Hence his speed should be 8km/h.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{( - 2.5 \: , \: - 0.5)}}}}}[/tex]

Step-by-step explanation:

Let the given points be A and B

Let A( -8 , 5 ) be ( x₁ , y₁ ) and B ( 3 , -6 ) be ( x₂, y₂ )

Finding the midpoint

[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} , \: \frac{5 + ( - 6)}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} \: , \: \frac{5 - 6}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 5}{2} \: , \: \frac{ - 1}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( - 2.5 \: , \: - 0.5 \: )}}[/tex]

Hope I helped !

Best regards!

Answer:

2(3x+2)(x+4)

Step-by-step explanation:

6x^2+28x+16

first : 2 as a common factor:

2(3x²+14x+8)   then factorize

2(3x+2)(x+4)

Answer:6

Step-by-step explanation:

Answer:

the answer is 104

Step-by-step explanation:

1= 16

6= 96

0,5=8

Answer:

-250

Step-by-step explanation:

It was right on edge

Answer:

The answer is -250

Step-by-step explanation:

it was on edge and i got it right

Answer:

(-6,8) is your answer.

Step-by-step explanation:

1. 2x + 3y = 12

2. 2x +3 * 8 = 12

3. 2x + 24 = 12

4. 2x = -12

5. x = -6

So, our final answer is (-6,8)

Answer:

105

Step-by-step explanation:

LN = 6x

LN = LM + MN ➡ LN = 4x + 8 + 27 so 6x = 4x + 8 + 27

2x = 35 and x = 17.5

6 × 17.5 = 105

Answer:

105

Step-by-step explanation:

4x+8+27=6x

subtract 4x from both sides you get 35 = 2x

divide and get x= 17.5

you know LN = 6(x), so substitute 17.5 in for x and you get 6(17.5)= 105

Answer:9.072×10³

Step-by-step explanation:

A number is said to be written in a scientific notation or standard form if it is expressed in the form a×10n where 1 is less than or equal to a and a is less than 10 and n is an integer

9072 is more than 10

So 9072÷10=907.2

Still 907.2 is more than 10

So 907.2÷10=90.72

Still 90.72 is more than 10

So 90.72÷10=9.072

9.072 is less than 10

We divided 9072 by 1000 and 1000 as a power of ten is 10³

So the answer is 9.072×10³

Answer:

9.07210

math it's so fun right? :)

Answer:

Well, in this case all the students selected live in the dorms, so it is actually likely that they eat in the cafeteria regularly.

For example, a student that lives in a house (with family, friends, etc) may have access to eat in his own place or may have larger economic freedom, so maybe they go and eat out. In this group, you may find that the probability for a randomly selected student eats in the cafeteria regularly may be smaller than in the group of the students that live in the dorms.

So the sample will be biassed towards eating regularly in the cafeteria.

Answer:

  6 minutes

Step-by-step explanation:

'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:

   21000 = 3400t +600

You can solve this for t:

  20400 = 3400t . . . . . subtract 600 from both sides

  6 = t . . . . . . . . . . . . . . . divide both sides by 3400

The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.

The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:

  The plane is at an altitude of 21000 feet 6 minutes after lift off.

Answer:

-6 only

Step-by-step explanation:

i just did the test

Answer:

x = 2

Step-by-step explanation:

2× = 4

x = 2

2x = 4

4/2 = 2

so...

2(2) = 4

x = 2

Answer:

tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles?

since the rate was 45 cents i multiplied 0.45 by 1.1 and got 0.495 and then i kept adding to the cost and 1/4 to the amount of miles until i got 3 1/8 miles. my answer was 4.715 so i rounded to 4.72, is that correct?Step-by-step explanation:

Answer:

[tex] 3^2 \times 3^5 = 3^7 [/tex]

3^2 * 3^5 = 3^7

Step-by-step explanation:

I assume you mean this:

[tex] 3^2 \times 3^5 [/tex]

If so, then the rule is that when you multiply two numbers with the same base, you give the same base and add the exponents.

[tex] 3^2 \times 3^5 = 3^{2 + 5} = 3^7 [/tex]

Answer:

absolute value is how many units it is away from 0. meaning that -6 and 6 both have an abosolute value of 6.

Step-by-step explanation:

Answer:

-4/3

Step-by-step explanation:

Slope= - 5-3/4+2

Slope= - 8/6

Slope = - 4/3

answer:

0.75 i think i'm not really sure i hope it helps tho

Step-by-step explanation:

Answer:

if im right its 13.09 miles since perimiter is just the total length of the outside lines.

Step-by-step explanation:

Answer:

3[1/2(3.50)+1.35]Step-by-step explanation:

The expression for new cost is 3(3.50/2 + 1.35)

A mathematical statement that consists of two expressions connected by an equal sign is called an equation.

Given the cost of popcorn is half when movie is half over,

according to question

original cost of popcorn = 3.50

cost at interval = 3.50/2

cost of drink = 1.35

cost of 3 drink = 3 x 1.35

cost of 3 popcorn = 3 x 3.50/2

expression for new cost for 3 orders of popcorn and 3 drinks

3 x 3.50/2 + 3 x 1.35

= 3(3.50/2 + 1.35)

Hence the expression is 3(3.50/2 + 1.35)

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Answer:

4:18, 6:27, etc

Step-by-step explanation:

Basically, anything x 2 and x 9 would be equivalent as a ratio

Answer:

4:18

Step-by-step explanation:

times them both by two