Solve and reduce to lowest terms: 8/11 x 1/2

Answer:

Step-by-step explanation:

Let's set up the variables as nickel=n and penny=p, for how many coins he has of each type. What we know is that Calvin had $8.80 total and that he has twice as many nickels as pennies. So, one equation for his total money and another for how many separate coins: 8.80 = 0.01p + 0.05n 2p=n

Answer:

45

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

The equation for circumference is:

[tex]C=2\pi r[/tex]

In this case, the radius and the circumference are directly proportional meaning that if the radius increases by 50%, the circumference will also increase by 50%.

Let's use some examples to prove this:

Radius : 2

Increase by 50% : 2*50%=2*(50/100)=2(1/2)=1 --> 1+2 = 3

[tex]C=2\pi r=2\pi 3=6\rightarrow 50 \ percent\ increase\ from\ 4\\C=2\pi r=2\pi 2=4[/tex]

Radius : 4

Increase by 50% : 4*50%=4*(50/100)=4(1/2)=2 --> 2+4 = 6

[tex]C=2\pi r=2\pi 6=12\pi\rightarrow50\ percent\ increase\ from\ 8\\C=2\pi r=2\pi 4=8\pi[/tex]

In both cases, when we increased the radius by 50%, the circumference also increased by 50%, proving our previous statement correct.

Therefore, when the radius of a circle is increased by 50%, the circumference will also increase by 50%

Answer:

[tex] \frac{4}{15} [/tex]

in percentages

Answer:

-47/48

Step-by-step explanation:

Answer:

  x = 3 ±√5

Step-by-step explanation:

We can take the square root of both sides of the equation:

  (x -3)^2 = 5 . . . . . . . . given

  x -3 = ±√5 . . . . . . . . square root

  x = 3 ±√5 . . . . . . . . add 3

_____

Additional comment

It is a good idea to remember this process. It is the final step in solving a quadratic by "completing the square."

Answer:

$6,720

Step-by-step explanation:

20% of 5600 is 1120.

1120+5600= 6,720

Answer:

Permeter= 68m

Area= 289m^2

Step-by-step explanation:

Perimeter = 17^4 = 68m cause perimeter is the total length and square has 4 sides

Area= 17 ^17= 289m^2

Area of square is to multiply length x length

The perimeter and area of the mat will be 68 meters and 289 square meters.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

The area of the square will be

A = a² square units

The sum of all the sides of the square will be known as the perimeter of the square.

The perimeter of the square will be

P = 4a units

A sporting goods store sells square exercise mats that are 17 m on a side.

The area of the square will be

A = 17²

A = 289 square meters

The perimeter of the square will be

P = 4 x 17

P = 68 meters

The perimeter and area of the mat will be 68 meters and 289 square meters.

More about the area and perimeter of the square link is given below.

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#SPJ2

Answer:

m= 12

Step-by-step explanation:

[tex]\frac{3m+4}{8} = 5[/tex]

First multiply both sides by 8 to cancel out the 8 on the left side

[tex]3m + 4 = 80[/tex]

Isolate the m so subtract 4 from both sides.

[tex]3m = 36[/tex]

Divide both sides by 3.

[tex]m = 12\\[/tex]

Answer:

4

Step-by-step explanation:

If you do .50 x 8 from each ticket being drawn and the probability you get 4

Answer:

Step-by-step explanation:

2x - 3x(3+2) = 10

Distribute the -3x to the numbers inside the parenthesis:

2x - 9x -6 = 10

Simplify:

-7x = 16

Isolated the x:

x = 16/-7

Answer:

5p(2p-3)(p+7)=0

10p-15 p +7 =0

10p+p=0+15-7

11p =8

11p=8

p=8/11

Answer:

p=0, p=1.5, p=-7

Step-by-step explanation:

Assuming we need the equation to equal zero we do this.

5p(2p-3)(p+7)

5p = 0        (2p-3) = 0       (p+7)= 0  Separate each part

5(0) = 0      2(1.5)-3 = 0.   (-7)+7 = 0  Replace P so the outcome is 0

  p=0,             p=1.5,           p=-7      Solution

Answer:

sample space

Step-by-step explanation:

[tex]\huge \underline\frak \red{Answer}[/tex]

Given thing are

cos Θ = 2/3

we know that Cos Θ = Adjacent Side / Hypotenuse, so we get

Adjacent Side = 2

Hypotenuse = 3

Hypotenuse : BC = 3

Adjacent Side : AB = 2 (Adjacent to ∠ Θ)

Opposite Side : AC = ? (Opposite to ∠ Θ)

To find the Opposite Side - AC , we use Pythagoras theorem ((Hypotenuse)2 = (Leg 1)² + (Leg 2)²)

AC = √ BC² - AB²

AC = √ 32 - 22

AC = √ 9 - 4

AC = √5

Now we will try to simplify square root of 5. As no pairs can be made the final value will be

__

AC = √ 5

So Sin, Cos and Tan will be as follows -

Sin Θ = Opposite Side / Hypotenuse

__

Sin Θ = √5/3

Tan Θ = Opposite Side / Adjacent Side

__

Tan Θ = √5/2

Cos Θ = Adjacent Side / Hypotenuse

Cos Θ = 2/3

Answer:

(−2, −3)

Step-by-step explanation:

Let's solve your system by substitution.

x−9y=25;6x−5y=3

Step: Solvex−9y=25for x:

x−9y=25

x−9y+9y=25+9y(Add 9y to both sides)

x=9y+25

Step: Substitute9y+25forxin6x−5y=3:

6x−5y=3

6(9y+25)−5y=3

49y+150=3(Simplify both sides of the equation)

49y+150+−150=3+−150(Add -150 to both sides)

49y=−147

49y

49

=

−147

49

(Divide both sides by 49)

y=−3

Step: Substitute−3foryinx=9y+25:

x=9y+25

x=(9)(−3)+25

x=−2(Simplify both sides of the equation)

Therefore answer:

x=−2 and y=−3 which is (-2, -3)

Hope it helps!

Answer:

1.4166

Step-by-step explanation:

204/144

Hope this helps!!

Answer:

144 can go into 204 once cause if it goes twice it gonna be 288

The price of the given menu items can be used to find the price of Egg &

Mash to be £2.1.

Response:

The price for Egg & Mash is £2.1

Let x represent the cost of Egg, let y represent the cost of Chips, let

z, represent the cost of Sausages, and a the cost of Mash we have the

following system of linear equations;

x + y = 3...(1)

z + y = 3.6...(2)

z + a = 2.7...(3)

x + a = Required

Solution:

Subtracting equation (1) from (2) gives;

z + y - (x + y) = 3.6 - 3 = 0.6

z - x = 0.6

Therefore;

z is £0.6 more expensive than x

x = z - 0.6

By plugging in the value of x = z - 0.6, gives;

x + a = z - 0.6 + a = z + a - 0.6

z + a = 2.7, which gives;

x + a = z + a - 0.6 = 2.7 - 0.6 = 2.1

Learn more about system of simultaneous equation here:

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Answer:

65.8 mph

Step-by-step explanation:

What I did was I divided 205.296 by 3.12 and I got 65.8.

Answer:

$8,580,000 (rounded) = $9,000,000

Step-by-step explanation:

Keep in mind, 2007 is four years after 2003.

So, 8(%) • 4 = 32(%)

Over the course of 4 years, the companies profits increased by a total of 32 percent.

(*Write 6.5m in standard form)

6,500,000 + 32% = $8,580,000

8,580,000 (rounded up) = 9,000,000

Answer:

B

Step-by-step explanation

i just did it

Answer:

(B) 30 and 60 degrees

Step-by-step explanation:

8 divided by 5.2

that’s all it takes

Answer:

0.65

Step-by-step explanation:

Since we have given that

Cost of 8 pencils = 5.20

We need to find the cost of 1 pencil.

For this we'll use the unitary method,

5.20 divided by 8 = 0.65

Step-by-step explanation:

The second part fir y

Explained in pic

The ordered pair of the parking lot is the coordinates of the lot in the coordinate plane

Parking lot B is located in the ordered pair (-3,4)

From the figure, we have the following highlights

Parking lot B is located at x = -3 on the horizontal axis, and it is located at y = 4 on the vertical axis.

So, we have:

(x,y) = (-3,4)

Hence, parking lot B is located in the ordered pair (-3,4)

Read more about ordered pairs at:

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Answer:

see step-by-step

Step-by-step explanation:

can't see the graphs (too blurry)

but [tex]f(\frac{1}{4}x)=\frac{1}{4}x+1[/tex]

Therefore, the y-intercept = (0, 1)

and the x-intercept = (-4, 0)

It's either graph 1 or 4, but you'll have to check the axis intercepts.

Answer:

F(x)= (x-5)(x+3)

Step-by-step explanation:

we have two roots/ X-intercepts meaning we can assume that it is a quadratic function