After a cleanup, algae covers 2 miles of a coastline. The length of the coastline covered after the cleanup is $\frac{1}{3}$
1
3​​ of the previous length. How many miles of the coast did the algae previously cover?

Answers

Answer 1

The miles previously covered by algae is 6 miles

let m represent the miles of the coastline covered by algae before the clean-up  

fraction of miles covered after the clean-up = [tex]\frac{1}{3}[/tex] x m = [tex]\frac{1}{3}m[/tex]

miles covered after the clean-up = 2 miles

[tex]\frac{1}{3}m[/tex] = 2 miles

to determine the value of m, make m the subject of the formula.

To do this, take the following step :

multiply both sides of the equation by 2

m = 2 miles x 3

m = 6 miles

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Related Questions

If f(x) = ax + b represents a linear function, describe the a and b values that produce a constant function?

Answers

In f(x)=ax+b, 'a' is the slope and b is the initial value or y intercept

Given :

Given function is f(x)=ax+b

f(x)=ax+b is the linear equation

The graph of a linear equation is a line. The value of 'a' tell us the steepness of the line that is the slope of the line .

'b' is the initial value . when x=0, f(x)=a(0)+b

that is f(0)=b

So, 'b' is the initial value or y intercept.

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Describe the operations that are
happening to the variable x in each
equation.
1) -x+ 12 = 8
2) 2x+3/5 = 2
3) -2(x/5 -3) = 3

Answers

Answer:

1. -x+12=8 =-x=8-12-= -x=-4 dbs= 4/x

A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?

Answers

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

Which of the following equations could be solved to determine the length of QR?
O A) QR2 = 202 + 272 - cos 99°
B) QR2 = 202 + 272 - 2(20)(27)
C) cos 99 cos R
QR
20
D) QR2 = 202 + 272 - 2(20)(27) · cos 99°

Answers

Answer: D) QR^2 = 20^2 + 27^2 – 2(20)(27) ⋅ cos 99°

Step-by-step explanation:

since you have the lengths of two sides and their included angle, you can use the law of cosines to solve for the missing side. let a, b, and c be the side lengths, and A be side a's respective opposite angle:

the law of cosines states that

a^2 = b^2 + c^2 - 2bc ∙ cosA

hope this helped!

Answer:

d

Step-by-step explanation:

quiz

A man sold a calculator at a loss of 12℅. If selling price was Rs.7040, what was the cost price?​

Answers

Answer:

Rs.6195.20

Step-by-step explanation:

So first you need to find 12 % of Rs.7040. Thus:

[tex]\frac{12}{100}[/tex] × 7040 = 844.80

Then you subtract 844.80 from 7040 from which you get  Rs.6195.20

Rs.6195.20 was the cost price.

HOPE THIS HELPED

Evaluate. Express your answer in scientific notation.
5.09 x 104 – 4.95 x 104

Answers

Answer:

-163.64..................

Junaid has a rectangular box open from the top as in the figure. He paints base and 4 lateral faces as shown. He paints only up to th of the height of the box to save paint. Find the total surface area he painted.

Answers

The surface area is the total area occupied by the object. The surface area of the painted figure is [tex]440m^2.[/tex]

From the attached box, we have the following:

[tex]L = 20m[/tex] -- length

[tex]W = 10m[/tex] --- width

[tex]H = \frac 45 \times 5m = 4m[/tex] --- the painted height

Since the box has an open-top, the surface area is:

[tex]Area = LW + 2(WH + LH)[/tex]

So, we have:

[tex]Area = 20 \times 10 + 2 \times (10 \times 4 + 20 \times 4)[/tex]

[tex]Area = 200 + 2 \times (120)[/tex]

[tex]Area = 200 + 240[/tex]

[tex]Area = 440[/tex]

Hence, the painted area is [tex]440m^2.[/tex]

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Neee help with 14 I don’t get it

Answers

Answer:

d

Step-by-step explanation:

The midpoint is the average of the coordinates of the 2 oak trees

The coordinates are

(3, 6 ) and (7, 3 ) , then

midpoint = ( [tex]\frac{3+7}{2}[/tex], [tex]\frac{6+3}{2}[/tex] ) = ( [tex]\frac{10}{2}[/tex] , [tex]\frac{9}{2}[/tex] ) = ( 5, 4.5 ) → d

Guided Practice


Evaluate y=9• ( 5 2 ) x ​ for x=− 3.


A.
–15.625


B.
0.036


C.
0.576

Answers

Answer:  C.  0.576

9*(52)=468

x=-3

x= -1404

A.

–15.625

Step-by-step explanation:

y=9*(52)(-3).

y = -1404

Plug in -3 for x and then multiply.

Let's solve for x.

(9)(52)xforx=−3

Step 1: Divide both sides by 468for.

468forx2

468for

=

−3

468for

x2=

−1

156for

Step 2: Take square root.

x=√

−1

156for

or x=−√

−1

156for

Answer:

x=√

−1

156for

or x=−√

−1

156for

Find the measure of the number two angles in each figure. Justify each answer​

Answers

11:
1. 123°
2. 57°
3. 95
4. 85°

12.
1. 130°
2. 54°
3. 130°
4. 126°

can you please answer this question​

Answers

Answer:

168000

Step-by-step explanation:

5/14 to the son.

that leaves 9/14 of the total.

these 9/14 we need to split into 1/3rds, as 2/3 of these 9/14 go to the daughter, and then the remaining 1/3 of these 9/14 to the wife.

how do we do that ?

well, here it is simple, as we see right away that the numerator 9 can be easily split into 1/3rds (9/3 = 3).

but in general by multiplying. so 2/3 of 8/14 is

9/14 × 2/3 = 9×2 / 14×3 = 3×2 / 14 = 6/14

and then little surprising 1/3 is

9/14 × 1/3 = 9 / 14×3 = 3/14

now, we know, these 3/14 are 36000.

what we need to know is how much is 14/14 or 1/1 : the whole amount.

well, the easiest way in my opinion is now to bring it to 1/14 (by dividing by the numerator 3) and then multiply it by 14 (the denominator) to bring the sum to the whole (14/14).

it in total, multiply it with the reverse fraction : 14/3

36000 × 14/3 = 12000×14 = 168000

Subtract using a number line.

−2.3−(−0.4)

Plot the minuend and the difference on the number line.

Answers

The difference on the number line of the expression −2.3−(−0.4) is - 1.9

Number lines are lines that are used to mark integers based on the required interval between the integers

Given the expression

−2.3−(−0.4)

First, let us find the difference

= −2.3−(−0.4)

= −2.3 + 0.4

= -1.9

Hence the difference of the number is -1.9

Representing the result on a number line is attached below

Learn more here: https://brainly.com/question/18731042

Answer:

-1.9 on the number line!

Step-by-step explanation:

k12

Chose the correct property


[tex]a(9 \times b) = (a \times 9)b[/tex]


A) Commutative Property Of Multiplication

B) Associative Property Of Multiplication

C) Neither​

Answers

Answer:

Associative property of multiplication

Algebra hcf
2x + y and 18x +9y ​

Answers

Step-by-step explanation:

2x+y and 18x+9y

=2x+18x=9y2

=2x"=9y"

4. Find the equation of the lines described.
A. Find the equation of the line parallel to y = 3x -5
and passing through
(-4, 7).

Answers

Answer:

y = 3x + 19

Step-by-step explanation:

Apply point-slope form. Our point (y1, y2) is (-4, 7) and our slope (m) is 3. The slope of y = 3x - 5 is 3 because it is "m" in y = mx + b. Parallel lines have the same slope.

y - y1 = m(x-x1)

y - 7 = 3(x-(-4))

y - 7 = 3(x+4)

y - 7 = 3x + 12

y = 3x + 19

Gordon makes 4/5 of a recipe with 2/3 bag of cheese. At this rate, what fraction of the bag of cheese will Gordon use to make the entire recipe?

Answers

Answer:

Gordon will use 5/6 of the bag of cheese to make the entire recipe.

Step-by-step explanation:

We are given that Gordon makes 4/5 of a recipe with 2/3 bag of cheese.

And we want to determine what fraction of the bag of cheese Gordon will use to make the entire recipe.

We can write the following ratio:

[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}[/tex]

Find the unit rate. Multiply both layers by 5/4:

[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}\times \frac{\dfrac{5}{4}}{\dfrac{5}{4}}[/tex]

Multiply:

[tex]\displaystyle \frac{\dfrac{5}{6}\text{ bag of cheese}}{1 \text{ recipe}}[/tex]

In conclusion, Gordon will use 5/6 of the bag of cheese to make the entire recipe.

Solve 3x+4/2-6x = -2/5

Answers

Answer:

Exact form:

x = 4/5

Decimal Form:

x = 0.8

Step-by-step explanation:

will mark brainliest if correct

Answers

Hi :)

6

6 is a whole number

6 is an integer

and 6 is a natural number

Answer:

Natural number is 6 here

Whole number is 6 too and so is integer. 4.9 and (-1/2) are a rational number while pi is an irrational number

Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

Answers

Answer:

2

Step-by-step explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]

[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]

[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]

[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]

Calculate the volume of a warehouse that has inside dimensions of 22.4 meters by 11.3 meters by 5.2 meters.

Answers

I think it should be 1316.22 cubic meters

The volume of the warehouse with the three dimensions is V = 1,316.224 cubic meters.

Given data:

To calculate the volume of the warehouse, you need to multiply its length, width, and height:

Volume = Length *  Width * Height

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Given the dimensions:

Length = 22.4 meters

Width = 11.3 meters

Height = 5.2 meters

Substitute these values into the formula:

Volume = 22.4 m × 11.3 m × 5.2 m

Calculate the result:

Volume = 1,316.224 m³

So, the volume of the warehouse is approximately 1,316.224 cubic meters.

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Two-thirds a numberx plus 4 is 8.

Answers

Answer:

n = 6

Step-by-step explanation:

To solve this you can use an equation such as:

[tex]\frac{2}{3} n+4=8\\\\[/tex]

We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:

[tex]\frac{2}{3}n=4[/tex]

So now we divide both sides by 2/3.

This now equals:

[tex]n=6[/tex]

10.
What is the volume of the rectangular prism?
3.in.
4 in.
52 in.

Answers

Answer

(3.5 times 5.25) times 4

Step-by-step explanation:

then convert the decimal to a fraction.

Pls help me out on this question, Find the sum of this first 8 terms of the Arithmetic Progression. log x, log x2, logx3

Answers

Okie

First find D

In this case it is log x

Now find those terms which are log x, log 2x, log 3x, ….. log 8x
Now add them
You will get log x36 :)

Here is an easy question for points: Bob went to the store and bought four products. He spent $19.87 on a coffee maker, $45.21 on a food processor, and $9.99 on trousers. He also purchased a chair. His entire cost was $100. what was the cost of the chair?

Answers

Answer:

24.93

First add all then subtract by 100

Kira has breakfast in a restaurant. She leaves $1.80 for a 20% tip. What is the price of Kira's breakfast, before the tip?

Answers

Answer:

percent* base = amount

.2 * x = 1.80

x = 1.80/.2

x= $9

Step-by-step explanation:

how many different ways can 3 people sit at a table with 5 seats?

a) 15
b) 60
c) 125
d) 243

Answers

Answer:

The correct answer is B 60 - 5 x 4 = 20 x3 = 60

Answer:

60 ways

Step-by-step explanation:

5P3 = 5!/[3!(5-2)!]

= 5!/(3!2!)

= 5 × 4 × 3

= 60

Ok I still don’t get this pls help!

Answers

Answer:

p and q value is 70 deg and r,s,t and u is 110 deg

Step-by-step explanation:

I. If half circle = 180°

 when p = q = 70°

 so r = s = t = u = 180 - 70 = 110°

Step-by-step explanation:

[tex]thank \: you[/tex]

a group of people were given a personality test to determine if they were Type A or Type B. the results are shown below Type A Male = 55, Type B Male = 48, Typa A female= 75,
compare P(Male or Type B) with P(Male | Tyoe B)

Answers

Answer:

Below<3

Step-by-step explanation:

Type a : 55 75

Type b:48 22

=  P(Male | Type B)> P(Male or Type B)

x-1/y-4/xy=-1
-3/y-12/xy=1

Answers

Answer:

1) x-1/y-4/xy=-1 Number one, the answer is in picture one.

2) -3/y-12/xy=1 Second, the answer is in picture two.

slove for w -22=4(w=2)-7w

Answers

ANSWER: w=10

because math
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