Of the 585 people that live in Benton, 187 live within two miles of the post office. Use mental math to find how many people live farther than two miles from the post office.

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = [tex]5\dfrac{1}{2}[/tex]

2 and one third = [tex]2\dfrac{1}{3}[/tex]

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]

[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]

[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]

[tex]=\dfrac{77}{6}[/tex]

Therefore, the required number is [tex]\dfrac{77}{6}[/tex].

Answer:

C. 120°

Step-by-step explanation:

length of arc = 4π cm

r = 6 cm

central angle = s/r

=> central angle = 4π/6

=> central angle = 2π/3 radians

In degrees,

central angle = (2π/3)(180/π) = 120°

hope this helps and is right. p.s i really need brainliest :)

Answer

C41 = 2

This very simple to do.

First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.

Then multiply by the scalar which is 2 to get,

Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,

-3 x 4= -12

We now add these two corresponding entries to obtain,

14+-12= 2

there no table showing mechanic b. but mechanic a charges a one time fee of $50

35 an hour times 5 hours is 175

the total of 225 -175= $50 as a one time fee

Answer:

41.1 feet of ribbon was leftover

(fraction form: 41 1/10)

Step-by-step explanation:

122 1/2 = 122.5

32 2/5 = 32 4/10 = 32.4

122.5 x 0.4 = 49

122.5 - 49 = 73.5

73.52 - 32.4 = 41.1

41.1

Answer:

Step-by-step explanation:

40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.

Equation: y=p%·x

p=40% x=122.5

Solve the equation for y.

y=p%·x

y=40%·122.5'

Converting percent to decimal.

p = 40%/100 = 0.4

y=0.4·122.5

y=49

[tex]49-32\frac{2}{5}[/tex]

[tex]49-\frac{162}{5}[/tex]

[tex]\frac{83}{5}[/tex]

[tex]16\frac{3}{5}[/tex]

Answer:

Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.

Answer:

The first picture with the (1,6)

Step-by-step explanation:

If you plug in the numbers in the equations you will see that they both equal 6.

6=4(1)+2

6=4+2

6=6

6= (1)+5

6=6

Answer:

comment if you need a better explanation

Answer:

£4500

Step-by-step explanation:

12500 ×9/100

=1125

4 years =1125×4

=£4500

Answer:

y = 2x - 8

Step-by-step explanation:

Answer:

m > -3

Step-by-step explanation:

-8m/-8 < 24/-8

when dividing by a negative number the sign changes

m > -3

A scaled version means that our leading coefficient will change. Let's set up an equation to find our leading coefficient, a.

g(x) = a * x^2

Now that we have our equation, we need a point that is on g(x). The point given is (4,8). Let's use that point and plug x and y into our equation so that we can solve for a.

8 = a * (4)^2

8 = a * 16

a = 1/2

All that's left to do is plug in our a value into g(x).

g(x) = 1/2 x^2

Hope this helps!! :)

Answer:

Nuclear fusion that takes place between hydrogen atoms.

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Like most stars, the sun is made up mostly of hydrogen and helium atoms in a plasma state. The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons.

Answer: (a)

Step-by-step explanation:

Given

Polynomial is [tex]-5+x^2+x^3[/tex]

In standard form, Polynomial is written in the form of

[tex]ax^n+bx^{n-1}+cx^{n-2}+dx^{n-3}+\ldots[/tex]

That is leading term must have highest degree

Arranging according to the standard form

[tex]\Rightarrow x^3+x^2-5[/tex]

The above expression is cubic trinomial because degree of x is 3.

Hence, option (a) is correct.

Answer:

A = 864 m^2

Step-by-step explanation:

For a rectangle of length L and width W, the area is given by:

A = W*L

We know that the park has:

L = 60m

W = 40m

Now, if we surround the whole park with a path that is 4m wide, then the rectangle made by the park and the path has the dimensions:

L' = 60m + 2*4m

W' = 40m + 2*4m

(as you can see in the sketch at the end)

The area of the path will be equal to the difference between the area of the rectangle made of the park + the path, and the area of the park alone.

This is:

A = L'*W' - *W

A = ( 60m + 2*4m)*(40m + 2*4m) - 60m*40m

A = 68m*48m - 60m*40m

A = 864 m^2

Answer:

[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]

Answer:

10.9166666667 or 10 11/12

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

Divide the half from the surface area formula and it will give you the correct answer

Answer:

h= x/ x+4

Step-by-step explanation:

Move all terms to the left side and set equal to zero, Then set each factor equal to zero.

[tex]_____________________________________[/tex]

Akala ko ako lang Pilipino dito

[tex]_____________________________________[/tex]

Answer:

k=8

explaining the answer

80 - 8K = 2K

Answer:

I only know these, I am not sure of the answers too.

Step-by-step explanation:

Types of angles : 20°(acute angle), 90°(right angle)

Key information :

Equation : 20° + x° = 90°

Solution : x = 70°

Answer:

La masa de 10⁹ μm³ de agua es 1 mg.

Step-by-step explanation:

La densidad del agua es:

[tex] d = \frac{m}{V} = 1000 kg/m^{3} [/tex]

En donde:

m: es la masa =?

V: es el volumen = 10⁹ μm³

Para encontrar la masa de agua debemos convertir las unidades del volumen de μm³ a m³:

[tex]V = 10^{9} \mu m^{3}*\frac{1 m^{3}}{(10^{6} \mu m)^{3}} = 10^{-9} m^{3}[/tex]

Ahora, la masa es:

[tex]m = d*V = 1000 kg/m^{3}*10^{-9} m^{3} = 10^{-6} kg = 10^{-3} g = 1 mg[/tex]                      

Por lo tanto, la masa de 10⁹ μm³ de agua es 1 mg.

Espero que te sea de utilidad!          

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]

Answer:

-7 and 1 multiply to 7 and add up to -6

Step-by-step explanation:

-7 and 1 multiply to 7 and add up to -6

Answer:

Hope it helped :)

Step-by-step explanation:

[tex]a)Mean = \frac{sum \ of\ the\ data} {number\ of\ data} = \frac{598}{21} = 28.48\\\\b) Median = middle\ number = 28\\\\c)Mode = most \ frequently \ occured \ number = 25\\\\d) Range = 48 - 5 = 43\\\\e)Inter Quartile Range = Q_3 - Q_1 = 16[/tex]

Answer:

3/5

Step-by-step explanation:

Answer:

a=-1 goes to the third graph (because it's negative so obviously it's a sad smile)

a=1 goes to the first graph

a=0.25 goes to the second graph

Step-by-step explanation:

The smaller the value of a, the wider the the parabola would be. If the value of a is large then the parabola becomes smol