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A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle mo
each time the wheel goes around? (Use as an approximation for 7.)
88 inches
64 inches
44 inches
56 inches

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Explanations:

Problem 5)

Assuming HEFG is a parallelogram, this means the opposite sides are the same length.

EH = GF

x-3 = 4x-15

x-4x = -15+3

-3x = -12

x = -12/(-3)

x = 4

--------------------------

Problem 6)

We'll use the same idea from problem 5. The opposite sides EF and HG are congruent

EF = HG

3y = 3x+12

3y = 3*4+12

3y = 24

y = 24/3

y = 8

--------------------------

Problem 7)

For any parallelogram, the diagonals always cut each other in half.

Therefore HK = 2z+3 is exactly half that of segment HF = 22

Put another way, HF is twice as long as HK

2*(HK) = HF

2*(2z+3) = 22

4z+6 = 22

4z = 22-6

4z = 16

z = 16/4

z = 4

Answer:

6

Step-by-step explanation:

385/65= about 6 but technically its like 5.92307...

Step-by-step explanation:

Price of glove with tax = 385

Money saved per month = 65

Months needed for Derek to save enough money

= 385/65

= 5.923 months

Answer:

1200*0.70=840

840*0.70=588

588*0.70=411.60

411.60*0.70=288.12

Answer:

The first one is B and the second is C :)

Answer:

C. 12 and A.5

Step-by-step explanation:

The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to

6-1 = 5

Answer:

6

Step-by-step explanation:

Answer:

Volume of cone shape tank  = 461.58 ft³ (Approx.)

Step-by-step explanation:

Given:

Diameter of cone shape tank = 14 feet

Height of of cone shape tank = 9 feet

Find:

Volume of cone shape tank

Computation:

Radius of cone = 14 / 2

Radius of cone = 7 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone shape tank  = (1/3)(3.14)(7²)(9)

Volume of cone shape tank  = (1/3)(3.14)(49)(9)

Volume of cone shape tank  = 1,384.74 / 3

Volume of cone shape tank  = 461.58 ft³ (Approx.)

Answer:

-2

Step-by-step explanation:

absolute value is the distance from zero. it will never be negative. so -6 is 6 away from zero, -8 is 8 away from zero. you can just take off the negative sign and use the number by itself.

|-6| - |-8|

6 - 8

-2

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

[tex]|−6|−|−8|[/tex]

Simplify each term.

The absolute value is the distance between a number and zero. The distance between −6 and 0 is 6.

[tex]6−|−8|[/tex]

The absolute value is the distance between a number and zero. The distance between −8 and 0 is 8.

[tex]6−1 \times 8[/tex]

Multiply −1 by 8.

[tex]6−8[/tex]

Subtract 8 from 6.

[tex] - 2[/tex]

Answer:

A and E

Step-by-step explanation:

B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.

C only consist of one data, temperature of Chicago at noon yesterday only.

Answer:

Each vertical bar | (pipe) equals a unit and each < (corner wedge or bracket) equals a tenth. The change of power of sixty (60 ^ 1 = 60, 60 ^ 2 = 3600, 30 ^ 3 = 216000, etc.) is represented by a space.

Answer:

The Y intercept is the point where your line crosses the y-axis.

and always Does.... Well Some time it Dosen't, If It is A different Point

Answer:

£59.02

Step-by-step explanation:

The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of units and 'y' be the total cost. Then the equation is given as,

y = 0.13x + 21.45

The number of units is calculated as,

x = 6785 - 6496

x = 289

The cost of the gas will be given as,

y = 0.13(289) + 21.45

y = 37.57 + 21.45

y = £59.02

The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.

More about the linear equation link is given below.

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Answe$324

Step-by-step explanation:

First you divide 9 by 2.5 to get 3.6 which is how many times you practiced for 2.5 hours

Next you multiply 3.6 by 90 to get 324

Answer:

Step-by-step explanation:

the least common denominator for the fraction is

7*5=35

since there is no any number that ca divide both the number so multiply them.

Answer:

[tex]Pr = 0.6[/tex]

Step-by-step explanation:

Given

Let

[tex]O \to Orange[/tex]

So:

[tex]P(O) = 25\%[/tex] --- probability of O

[tex]n=2[/tex] --- Number of spin

Using the complement rule, the probability that a spin will not land on orange is:

[tex]P(O') = 1 - P(O)[/tex]

[tex]P(O') = 1 - 25\%[/tex]

Express as decimal

[tex]P(O') = 1 - 0.25[/tex]

[tex]P(O') = 0.75[/tex]

On two spins, the probability that it will not land on orange is:

[tex]Pr = P(O') * P(O')[/tex]

So, we have:

[tex]Pr = 0.75* 0.75[/tex]

[tex]Pr = 0.5625[/tex]

[tex]Pr = 0.6[/tex] --- approximated

Answer:

96 i think

Step-by-step explanation:

Answer:

96 I think

Step-by-step explanation:

Answer:

125.7 inches cubed.

Step-by-step explanation:

πr^h is the formula for volume of cylinder.

Answer:

[tex]Area = 6x^2 - 35x + 36[/tex]

Step-by-step explanation:

Given

[tex]g(x)=3x-4[/tex]

[tex]f(x)=2x-9[/tex]

Required

The area

This is calculated as:

[tex]Area = f(x) * g(x)[/tex]

[tex]Area = (3x -4) * (2x - 9)[/tex]

Open bracket

[tex]Area = 6x^2 - 27x - 8x + 36[/tex]

[tex]Area = 6x^2 - 35x + 36[/tex]

Answer:

6x2 – 35x + 36

Step-by-step explanation:

Answer:

Explanation:

Both of these inequalities are describing that the value of x is less than negative four, as observable by the solution set graphed on the number line.

Step-by-step explanation:

if x is from B to D then it's 12-2= 10

x= 10

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

We want the solution to ...

  [tex]\dfrac{1}{x}=\dfrac{x+3}{2x^2}\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}[/tex]

Answer:

We have to find the value of x in

[tex] \sf \: \dfrac{1}{x} = \dfrac{x + 3}{2x {}^{2} } [/tex]

On cross multiplication

2x² × 1 = x × (x + 3)

2x² = x² + 3x

2x² - x² = 3x

x² = 3x

x × x = 3 × x

x = 3

Answer: w=9/8

Step-by-step explanation:

Answer:

w=9/8

Hope I got it right

Answer:

x = 5 ,  − 1

Step-by-step explanation:

Answer:

The least number of coins that could have been stolen is 3,930.

Step-by-step explanation:

In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.

Then we can write the total number of coins as a multiple of 17 plus 3.

N = 17*k + 3

where k is an integer.

After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:

N = 16*j + 10

where j is an integer.

Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15

N = 15*m

where m is an integer.

So we have these 3 equations:

N = 17*k + 3

N = 16*j + 10

N = 15*m

So we can express equations like:

15*m = 16*j + 10

15*m = 17*k + 3

Where we need to find solutions such that both of these variables are integers.

For the first one we can write:

15*m - 16*j = 10

One way to do it, is to write this like a linear equation:

m = (16*j + 10)/15

Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:

16*j + 10 is a multiple of 15.

For example, with j = 5 we have:

m = (16*5 + 10)/15 = 6

so j = 5 and m = 6 is a possible solution.

Now if we use m = 6 in the other equation:

15*m = 17*k + 3

we can see if k is also an integer:

k = (15*m - 3)/17

replacing m by 6:

k = (15*6 - 3)/17 = 5.1

This solution does not work.

Let's find others:

if j = 20  (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:

m = (16*20 + 10)/15 = 22

Then:

j = 20 and  m = 22 is another solution.

Same as before, let's use m = 22 in the equation for k:

k = (15*22 - 3)/17 = 19.2

Let's find another solution for m.

if  j = 35

m = (16*35 + 10)/15 = 38

Using this value of m in the k equation we get:

k = (15*35 - 3)/17 = 33.4

Let's find another solution for m.

if we take j = 50 we get:

m = (15*50 + 10)/15 = 54

Using this in the k equation we get:

k = (15*54 - 3)/17 = 47.5

Eventually, for j = 5  + 15*16 = 245 we get:  (arrived by iteration, just try each time using the previous value of j plus 15)

m = (16*245 + 10)/15 = 262

replacing this in the k equation we can find:

k = (15*262 - 3)/17 = 231.

So the first solution is:

j = 245, m = 262, k = 231

Then:

N = 262*15 = 3,930

The least number of coins that could have been stolen is 3,930.

Answer:

[tex]150 = 150.00[/tex]

Answer:

The answer is (7,-19)

Step-by-step explanation:

Remember, 18 is x, and -10 is y. The rule says to subtract 11 from 18, which would be 7. For y, you add -9 to -10, which would be -19.

Therefore, your answer should be (7,-19)

Hope this helps!

By applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way.

Given point = (18, -10)

(x, y) --> (x - 11, y - 9)

(18, -10) = (18 - 11, -10 - 9)

New point = (7, -19)

Hence, by applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).

Learn more about translation here

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