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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If f(x) = ax + b represents a linear function, describe the a and b values that produce a constant function?
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
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?
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°
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?
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
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.
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
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
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
can you please answer this question
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.
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
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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
Answer:
Associative property of multiplication
Algebra hcf
2x + y and 18x +9y
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).
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?
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
Answer:
Exact form:
x = 4/5
Decimal Form:
x = 0.8
Step-by-step explanation:
will mark brainliest if correct
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].
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.
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.
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.
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
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?
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?
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
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!
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)
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
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