6. An ant travels at a constant rate of 30 cm every 2 minutes.-
a. At what pace does the ant travel per centimeter?
b. At what speed does the ant travel per minute?
(From Unit 2, Lesson 18.)

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

Answer:

r = 2

Step-by-step explanation:

Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substitute the known values for their respective variables and solve for the missing coordinate, r.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\ -\frac{1}{2}=\frac{6-r}{-12-(-4)}\\\\-\frac{1}{2}=\frac{6-r}{-8}\\\\ -8(-\frac{1}{2})=(\frac{6-r}{-8})-8\\\\ 4=6-r\\\\4-6=6-r-6\\\\-2=-r\\\\\frac{-2}{-1}=\frac{-r}{-1}\\\\ 2=r[/tex]

Answer:

B

Step-by-step explanation

i just did it

Answer:

(B) 30 and 60 degrees

Step-by-step explanation:

Answer:

$6,720

Step-by-step explanation:

20% of 5600 is 1120.

1120+5600= 6,720

[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:

  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:

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]

[tex]\large\underline{\textsf{What are Equations?}}[/tex]

[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]

[tex]\underline{\textsf{This means that;}}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]

[tex]\large\underline{\textsf{What are Proportions?}}[/tex]

[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]

[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]

[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]

[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]

[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\tt \frac{1}{3} = \frac{2}{x}[/tex]

[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]

[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]

[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]

[tex]\textsf{until we have our product.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]

[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]

[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]

[tex]\textsf{of x.}[/tex]

[tex]\tt x = 6[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Use the Cross Multiplication Method.}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]

[tex]\textsf{values together.}[/tex]

[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]

[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]

[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]

[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

No, it is not. If you plug 4 into the equation in the place of x, you get 13=2(4)+4

13=8+4

13=12

It equals 12, not 13.

Answer:

No

Step-by-step explanation:

Because If You Do 2 x 4 you get 8 and 8 + 4 = 12 and not 13 so the answer is 4.5 because 4.5 x 2 = 9 and 9 + 4 = 13

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

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:

https://brainly.com/question/1346297

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:

4

Step-by-step explanation:

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

Answer:

sample space

Step-by-step explanation:

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:

x=17

Step-by-step explanation:

1) 4x +7 = 5(x-4)      Congruent angles

2) 4x + 7 = 5x -10    Distributive Property

3) Simplify

4x + 7 = 5x - 10
-4x        -4x
  7 = x - 10
+10       +10

x = 17

Answer:

45

Step-by-step explanation:

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:

https://brainly.com/question/16045635

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:

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

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!

Step-by-step explanation:

The second part fir y

Explained in pic

Answer:

= 3/14 × 10/7

= 15/14

hope it helps!

Answer:

= 3/14 × 10/7

= 15/14

Step-by-step explanation:

branliest pls

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.

https://brainly.com/question/23920809

#SPJ2

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:

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

in percentages

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]