Use the Distributive Property to find 1/3×6 1/2.

ILL MARK YOU SOMETHING LIKE BRAINY GENIUS

Answer:

C.

Step-by-step explanation:

First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.

Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:

y = 2x + -3. or y = 2x - 3.

Answer:

a = 32

b= 27

c = 9

Step-by-step explanation:

a= 5+ b from the second equation

c= b/3 from the third equation

substitute the above equations to the first equation then solve for b your answer will be 27

substitute the value of b in the second equation you will solve for a

perform the same substitution to the third equation you will get the answer for c

Step-by-step explanation:

a-b=5<=>a=5+b (1)

b:c=3<=>b=3c (2)

a+b+c=68<=>5+b+3c+c=68<=>5+3c+3c+c=68

<=>7c=63<=>c=9

Fill in (2), we have b=3c=3.9=27

and in (1), we have a=5+b=5+27=32

So, a=32, b=27, c=9

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  [tex]\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)[/tex]

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

  [tex]2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}[/tex]

Multiplication increases the number of times the base is a factor.

  [tex](2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5[/tex]

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  [tex]\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1[/tex]

Answer:

answer y=x-4

Step-by-step explanation:

slope intercept from is y=mx+b

m=slope b=y intercept

convert current equation to slope intercept

y-4=x-8

add 4 to both sides

y=-x-4

Answer:

y=76+2.5x where y is the amount he earns in a day and x is the number of tshirts sold

y=76+2.5(32)

y=76+80

y=156

he earns 156 dollars if he sold 32 tshirts

Step-by-step explanation:

Answer:

Talisa is 62 inches tall

Step-by-step explanation:

tan = opp/adj

tan60 = opp/36

36 * tan 60 = opp

use calculator

opp = 62.353829072479583

Rounded

Talisa is 62 inches tall

Answer:

Answer:

$7,680

$34,240

Step-by-step explanation:

Amount Tessa earns in 2019 = $32000

a. She paid tax of 24% on these earnings. Work out the amount she paid in tax in 2018.

Percent of tax = 24%

Amount of tax paid = 24% of $32,000

= 24/100 * 32,000

= 0.24 * 32,000

= $7,680

Amount of tax paid = $7,680

b. Tessa's earnings increased by 7%. Work out her earnings in 2020.

Percentage increase in earnings = 7%

Amount of increase in earnings = 7% of $32,000

= 7/100 * 32,000

= 0.07 * 32,000

= $2,240

Amount of increase in earnings = $2,240

Total earnings in 2020 = Amount Tessa earns in 2019 + Amount of increase in earnings

= $32,000 + $2,240

= $34,240

Total earnings in 2020 = $34,240

Given:

Kiosk is the combination of a cylinder and a cone.

Diameter of cylinder and cone = 5 m

Height of the cylinder = 3 m

Height of the cone = 2 m

To find:

The volume of the kiosk.

Solution:

We know that the radius is half of the diameter. So,

Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m

                                               = [tex]2.5[/tex] m

Volume of the cylinder is:

[tex]V_1=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get

[tex]V_1=(3.14)(2.5)^2(3)[/tex]

[tex]V_1=(3.14)(6.25)(3)[/tex]

[tex]V_1=58.875[/tex]

Volume of a cone is:

[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get

[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]

[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]

[tex]V_2\approx 13.083[/tex]

The volume of the kiosk is the sum of volume of cylinder and the volume of cone.

[tex]V=V_1+V_2[/tex]

[tex]V=58.875+13.083[/tex]

[tex]V=71.958[/tex]

[tex]V\approx 72[/tex]

Therefore, the volume of the kiosk is 72 cubic meter.

Answer:

x = 46

Step-by-step explanation:

Vertical angles are equal so call the angle y

85+53 +y =y+ 92+x

Subtract y from each side

85+53  = 92+x

Combine like terms

138 = 92+x

Subtract 92 from each side

138 -92 = 92+x-92

46 =x

Answer:

a number less then 6 is the anser so the 1st one

Answer:

471 cm

Step-by-step explanation:

here diameter of the circle is 150cm, and we know radius is half of diameter.

therefore r = 150/2

= 75

Now,

according to formula,

Circumference of circle = 2πr

= 2 x 3.14 x 75

= 471 cm

Answer:

[tex]g = 18p[/tex] --- A

[tex]g = 10p[/tex] ---- B

Step-by-step explanation:

Given

[tex]Package\ A: 18\ soda[/tex]

[tex]Package\ B: 10\ soda[/tex]

Required

The equation of both packages

The given details represent the number of sodas in each package.

So, the equation of A is:

[tex]g = 18p[/tex]

And the equation of B is:

[tex]g = 10p[/tex]

Answer:

option A

Step-by-step explanation:

The line splits the triangle ABC into two triangles with same base length.

Therefore ,

[tex]Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\[/tex]

                   [tex]= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)[/tex][tex][ \ Given : AD = \ CD \ ][/tex]

                   [tex]= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD[/tex]

Answer:

[tex]r = 2.5 \\ sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ = \frac{125( {2.5}^{7 - 1} )}{7 - 1} \\ = \frac{30517.6}{6} \\ = 5086.3[/tex]

Answer:

A

Step-by-step explanation:

The -2 indicates that y would be -2; because A is the only option with that being true, we can eliminate all other potential options rather quickly.

I believe this is 3/5x-2 but please take pictures with all information in view so we can provide better answers!

Answer:

Doman is always the x-intercept.

And Range is always the y-intercept.

Domain = {-5, 0, 5, 10, 15}

Range = {-1, 0, 1, 2, 3}

So the answer is C.

Answer:

3 meters

Step-by-step explanation:

Assuming the window is rectangular

A = l*h

18 = 6*h

Divide each side by 6

18/6 = 6h/6

3 = h

Answer:

Step-by-step explanation:

x^2 - 2x - 35 = 0

Solve for x over the real numbers:

x^2 - 2 x - 35 = 0

Add 35 to both sides:

x^2 - 2 x = 35

Add 1 to both sides:

x^2 - 2 x + 1 = 36

Write the left hand side as a square:

(x - 1)^2 = 36

Take the square root of both sides:

x - 1 = 6 or x - 1 = -6

Add 1 to both sides:

x = 7 or x - 1 = -6

Add 1 to both sides:

Answer:  x = 7 or x = -5  as for the vertex plane curve | Cartesian equation x^2 - 2 x - 35 = 0 | vertex (not a possible affine variety)

Answer:

32

put 12.8% as a decimal which is 0.128 and times it by 250

Answer:

32

Step-by-step explanation:

[tex]\frac{y}{250} :\frac{12.8}{100}[/tex]

y × 100 = 250 × 12.8

100y = 3200

100y ÷ 100 = 3200 ÷ 100

y = 32

Answer:

13π m

Step-by-step explanation:

circumference of a circle = 2πr

=2*π*6.5

=13π m

Answer:

13[tex]\pi[/tex] m

Step-by-step explanation:

The formula for circumference is 2r[tex]\pi[/tex], so...

2r[tex]\pi[/tex]

2(6.5)[tex]\pi[/tex]

=13[tex]\pi[/tex]

Answer:

445.5 feet

Step-by-step explanation:

Our first step is to get them to like terms. The only different term is inches. 480 inches = 40 feet.

We find volume by multiplying length x width x height. So 2.75 x 4.05 x 40 = 445.5 feet.

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

Answer:

a

Step-by-step explanation:

my brother told me....

Answer:

d = 8

Step-by-step explanation:

V=(π)(r)^2(h/3)

83.7=(π)(r)^2(5/3)

Solve for r

r = 3.9

d = (3.99)(2)

d = 7.98

d = 8