he levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.05 parts per billion (ppb) and is rising at a rate of 0.1 ppb each year. In the second body of water the initial measure is 0.12 ppb and the rate of increase is 0.06 ppb each year.

Which equation can be used to find y, the year in which both bodies of water have the same amount of mercury?

0.05 – 0.1y = 0.12 – 0.06y
0.05y + 0.1 = 0.12y + 0.06
0.05 + 0.1y = 0.12 + 0.06y
0.05y – 0.1 = 0.12y – 0.06

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

[tex](x,y) = (2,-2)[/tex]

The equations

[tex]7x + 9y = ?[/tex]

[tex]5x - 2y = ?[/tex]

Dimitri's Solution

[tex]Equation\ 1: 7x + 9y = -4.[/tex]

[tex]7(2) + 9 (-2) = -4.[/tex]

[tex]14 + (-18) = -4.[/tex]

[tex]-4 = -4.[/tex]

[tex]Equation\ 2: 5x -2y = 6.[/tex]

[tex]5(2) - 2 (-2) = 6.[/tex]

[tex]10 - 4 = 6.[/tex]

[tex]6 = 6.[/tex]

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

[tex]5x - 2y[/tex]

and

[tex](x,y) = (2,-2)[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]

So, we have:

[tex]5(2) -2(-2)[/tex]

Open bracket

[tex]10 +4[/tex]

Finally, we have:

[tex]14[/tex]

Answer:

18

Step-by-step explanation:

Multiples of 6: 6, 12, 18, etc.

Multiples of 9: 9, 18, etc.

the least common multiple here is 18

Answer:

Example: 9 and 12

Step-by-step explanation:

9: 9, 18, 27, 36, 48, 54, 63, 72..

12: 12, 24, 36, 48, 60, 72

36 is the first number that occurred in both list, so 36 is the least common multiple of 9 and 12

Answer:

432 in²

Step-by-step explanation:

To Obtian the square inches of wooden boards required :

Area of box = 2(l * w) + 2(l * h) + 2(h * w)

Length = 12 ; width = 6 ; height = 8

Hence,

Area of box = 2(12 * 6) + 2(12 * 8) + 2(8 * 6)

Area of box = 2(72) + 2(96) + 2(48)

Area of box = 432 in²

Answer:

Length of string used by Claire = 7 / 3 feet

Step-by-step explanation:

Given:

Length of string Claire in starts = [tex]4\frac{1}{6}[/tex] feet

Length of string Claire in end = [tex]1\frac{5}{6}[/tex] feet

Find:

Length of string used by Claire

Computation:

Length of string Claire in starts = [tex]4\frac{1}{6}[/tex] feet = 25 / 6 feet

Length of string Claire in end = [tex]1\frac{5}{6}[/tex] feet = 11 / 6 feet

Length of string used by Claire = Length of string Claire in starts - Length of string Claire in end

Length of string used by Claire = [25 / 6] - [11 / 6]

BY taking LCM

Length of string used by Claire = [25 - 11] / 6

Length of string used by Claire = 14 / 6

Length of string used by Claire = 7 / 3 feet

Answer:

y=x-3

Step-by-step explanation:

Answer:

Find the slope:

Use point-slope form and one of the points:

Answer:

It does make perfect sense... Count with ya fingers and see 4 yourself.

Step-by-step explanation: Go back to kindergarten buddy...

~ thx 4 the points my dude!~

Answer:

106

Step-by-step explanation:

Given :

Number of the set of siblings = 20

This 20 pair yields [tex]$\overline x$[/tex] = 103.29, [tex]$\overline y$[/tex] = 103.75, requals = 0.899, P-value = 0.000

Let x represents the IQ score of the younger child.

And y is the predicted value of Y(^).

So according to the question,

x = 105

and y = -9.5 + 1.1 x

Then,

y = -9.5 + 1.1 (105)

y = -9.5 + 115.5

y = 106

So the best predicted value of Y(^) is 106

Answer:

1530 cubic centimeters

Answer: 0.0114

Step-by-step explanation:

Since we are given the information that the quality control manager samples 700 LED bulbs and finds out that 8 bulbs have defects in them.

The probability that a bulb selected at random will have a defect will be calculated as follows:

= Number of defected bulbs / Total number of bulbs sampled

= 8/700

= 0.0114

Therefore, the probability is 0.0114.

Answer: x = -3

Step-by-step explanation:

2y + x = -15

y = 2x

2y = 2(2x) = 4x

4x + x = -15

5x = -15

x = -3

Answer:

150cm²

Step-by-step explanation:

In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?

The formula for the area of a trapezoid = 1/2(a + b) h

Where a = Length of the first base

b = Length of the second base

h= height of the trapezoid

h = 10cm

The length of one base is equal to its height

Hence:

a = h = 10cm

The length of the other base is twice its height.

b = 2h

h = 10cm

b = 10 × 2 = 20cm

Therefore, the Area of the Trapezoid =

1/2 (20 + 10)10

1/2 × 30 × 10

= 150cm²

Answer:

Its probably too late now but the answer is 83

Step-by-step explanation:

83 is the lowest grade she can make on her last test to finish with an 80 test average.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Jamie wants to make an 80, or B, test average in her class.

She scored 75 and 82 on her last 2 tests.

we need to find the  lowest grade she can make on her last test to finish with an 80 test average

Let x be the e  lowest grade she can make on her last test to finish with an 80 test average

75+82+x/3=80

157+x=240

Subtract 157 from both sides

x=83

Hence, 83 is the  lowest grade she can make on her last test to finish with an 80 test average.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Answer:

21.74

Step-by-step explanation:

Are you looking for price of swimsuit including tax?

22 x .05 = 1.10 off

22-1.10=20.90 price before sales tax

20.90 x .04 = .84 tax on sales price

20.90 + .84 = 21.74 total paid

Answer:

y=1/2x-5/2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1/2(x-(-1))

y+3=1/2(x+1)

y=1/2x+1/2-3

y=1/2x+1/2-6/2

y=1/2x-5/2

9514 1404 393

Answer:

  B. 9πx^6

Step-by-step explanation:

Putting the given radius into the area formula gives ...

  A = πr^2

  A = π(3x^3)^2 = π(3^2)(x^(3·2))

  A = 9πx^6

Answer:

slope of the line(m) =(y2-y1)/(x2-x1)

or, m=(16-10)/(6-3)

or, m=6/3

So, m=2

Answer:

25%

Step-by-step explanation:

Answer: It’s 1/9 I got the same question on my test.

Answer:

250$

Step-by-step explanation:

[tex]80/1 = 20000/x\\20000/80=250\\1 * 250=250\\\\80/1 = 20000/250\\[/tex]

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

Number of flowers required = 1256

Step-by-step explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Here, r = radius of the circle

For a circle with radius = 100 in.

Therefore, circumference = 2π(100)

                                           = 200π

                                           = 628.32 ft

Distance between each flower = 6 in

                                                   ≈ [tex]\frac{6}{12}[/tex]

                                                   = 0.5 ft

Number of flowers = [tex]\frac{\text{Circumference}}{\text{Space between each flower}}[/tex]

                               = [tex]\frac{628.32}{0.5}[/tex]

                               = 1256.63

                               ≈ 1256

Therefore, number of flowers required = 1256

Answer:

20

Step-by-step explanation:

Answer:

28.26 units

Step-by-step explanation:

Given:

Radius (r) = 9

π = 3.14

Required:

Arc length

Solution:

Arc length = θ/360 × 2πr

θ = 180° (half of a circle = 180°)

Plug in the values into the formula

Arc length = 180/360 × 2 × 3.14 × 9

Arc length = ½ × 56.52

Arc length = 28.26 units

Answer:

1) corresponding

2) alternate interior

3) corresponding

4) alternate exterior

5) vertical

6) supplementary

Answer:

(d) infinitely many solutions

Step-by-step explanation:

Subtract 3s from both sides of 3s + 7 = 3 + 4 + 3s.  We get

7 = 3 + 4, or 7 = 7.  This is always true.  There are (d) infinitely many solutions.

Answer:

(d) infinitely many solutions.

Answer:

x= 6

Step-by-step explanation:

by using Pythagoras theorem

(30)={(9x^2+ 16x^2)}1/2

30= 5x

x= 30/5

x= 6

Answer:

18

Step-by-step explanation:

The triangle is a right triangle with sides 3x, 4x, 5x.

5x = 30

x = 6

3x = 3(6) = 18

Answer: 18