A scuba diver dives 10 meters below the surface of the ocean, and then dives down another 8 meters. How many meters down does the diver dive? Show an absolute value equation that can be used to find your answer.

Answer:

x=55/2 in fractions and 27.5 in decimals

Step-by-step explanation:

Answer:

∠J=85°

Step-by-step explanation:

Theory to know when answering this question:

1. The sum of the angles in a quadrilateral (shape with four sides) is 360°

2. Similar shapes have the same angles

Point 1 tells us that ∠P+∠Q+∠S+∠R=360

Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.

∴∠F+∠Q+∠J+∠R=360

109+122+∠J+44=360

∠J=360-275=85°

Answer:

3

Step-by-step explanation:

_+(-4) = -1

_-4 = -1

_ = 3

If there's a graph, maybe I could help...?

Given:

Purchasing price = 6.1 lakh

Amount spent of repair = 30000

Selling price = 8 lakh

To find:

The gain percentage.

Solution:

We have,

Purchasing price = 6.1 lakh

Amount spent of repair = 30000 = 0.3 lakh

So, total cost price is

[tex]C.P.=6.1+0.3[/tex]

[tex]C.P.=6.4[/tex]

The total cost price is 6.4.

Selling price(S.P.) = 8 lakh

Now,

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]

[tex]Gain\%=25\%[/tex]

Therefore, the gain percent is 25%.

Answer:

The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]

Step-by-step explanation:

Area of a rectangle:

A rectangle has length l and width w. The area of a rectangle is:

[tex]A = lw[/tex]

A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.

This means that [tex]l = 8x - 2, w = 3x - 3[/tex]

Which expression represents the area of the court?

The tennis court is rectangular, so

[tex]A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6[/tex]

The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]

Answer:

2.718

Step-by-step explanation:

2.718281828459045 to the nearest thousandths is 2.718

Answer:

A is 40

B is 12

Step-by-step explanation:

A- because 1.6 divided by 40 is 0.04

B- because 12 or 12.6 for an exact answer

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

Answer:

Step-by-step explanation:

There are 12 months in one year, so there would be 12*y in y years.

Answer:

there 12 months in one 1 year

Step-by-step explanation:

Answer:

See proof below

Step-by-step explanation:

If C is the midpoint of AB, then AC = CB

Given

AC=7x−10;

CB=3x+10

Then 7x - 10= 3x+10

Add 10 to both sides

7x-10+10 = 3x +10+10

7x = 3x + 20

7x - 3x   = 10+10

4x = 20

x = 20/4

x = 5

Get AC

AC = 7x - 10

AC= 7(5) - 10

AC = 35-10

AC = 25 (Proved)

Answer:

2.04081632653

Step-by-step explanation:

If you wanted to round it, it would be 2 because the 4 isn't enough to bump it up. Hope this helped you!

Answer:

2.04

Step-by-step explanation:

Answer:

The answers are 0 and -1

Step-by-step explanation:

Answer:

0 and -1

Step-by-step explanation:

Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]

Adding both equations

[tex]-\frac{2}{3}x-y=2[/tex]

[tex]+[/tex]

[tex]\underline{\frac{2}{3}x+y=6}[/tex]

[tex]0=8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.

The triangles of the dimensions are not similar by any property of similarity. Thus option D is correct.

Concept of similarity : Two triangles can be similar by AAA, SAS, SSS property .

Given,

Two triangles with different side lengths.

Here,

The two triangles are similar if they have same shape , but can be of different sizes and corresponding sides are of same proportions.

Here,

Triangles are of same shape but the corresponding sides are not in same proportions.

∴ 8/5 = 10/6.25 ≠  12/7

Therefore the two triangles are not similar.

Know more about similar triangles,

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Answer: x = -2

Step-by-step explanation:

first, we move the constant to the right.

3x = -7 + 1

then, we calculate that.

3x = -6

finally, we divide both sides.

x = -2

The solution to the equation 3x - 1 = -7 is x = -2.

To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.

Here are the steps to solve it:

Step 1: Start with the given equation: 3x - 1 = -7.

Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:

3x - 1 + 1 = -7 + 1.

Simplifying, we get: 3x = -6.

Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.

We can do this by dividing both sides of the equation by 3:

(3x)/3 = (-6)/3.

Simplifying further, we have: x = -2.

Step 4: We have found the solution to the equation: x = -2.

Therefore, the solution to the equation 3x - 1 = -7 is x = -2.

Learn more about equation click;

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Answer:

I'm pretty sure it's 2 and 3

Answer:

$36.00

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

you multiply 30 by 0.10 giving you 3

Answer:

your answer will be x=1.13504161

9514 1404 393

Answer:

  {-1.47, 1.14}

Step-by-step explanation:

The solution to ...

  ax^2 +bx +c = 0 is ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Filling in the values a=3, b=1, c=-5, the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4(3)(-5)}}{2(3)}=\dfrac{-1\pm\sqrt{61}}{6}\\\\\boxed{x\approx\{-1.47,1.14\}}[/tex]

Answer:

the water to be added is 0.2 L

Step-by-step explanation:

The computation of the water to be added is given below:

The banberry amount is

= 7% of 6 Liters

= 0. 42L

Now

Let us assume the amount of water added be x L

So, the total solution is

=  6+ x L

Now percentage of banberry is

= 0.42 × 100 ÷ (6+x)

5 = 0.42 × 100 ÷ (9 + x)

9 + x = 9.2

x = 0.2 L

hence, the water to be added is 0.2 L

Answer:

~1467

Step-by-step explanation:

$200,000 x 8.5% or .085 = $17,000 Annualy

$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments

Answer is $1467 Rounded

The monthly interest payment is $1,467.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]

= $1,467

Therefore we can conclude that the monthly interest payment is $1,467.

Learn more: brainly.com/question/13324776

Answer and explanation:

Decision variables are variables that are independent(indeoendent variables) and can be controlled by the decision maker. Decision variables influence outcome or result of a solution, usually denoted x in linear programming.

Decision variables above include:

Number of Aqua-Spa Produced.

* Number of Hydro-Lux Produced.

* Number of Pumps Purchased.

* Amount of Available Labor Hours.

* Amount of Available Tubing Available

As we know that,

Pythagoras triplet

1) a² + b² = c²

Let

[tex]\sf \: {2}^{2} + {2}^{2} = {4}^{2}[/tex]

[tex]\sf \: 4 + 4 = 16[/tex]

2) a² + b² = c²

[tex]\sf \:5 {}^{2} + {12}^{2} = {13}^{2}[/tex]

[tex]\sf \: 25 + 144 = 169[/tex]

3)a² + b² = c²

[tex]\sf {3}^{2} + {5}^{2} = {6}^{2}[/tex]

[tex]\sf 9 + 25 = 36[/tex]

4) a² + b² = c²

[tex]\sf {5}^{2} + {4}^{2} = {7}^{2}[/tex]

[tex]\sf \: 25 + 16 = 49[/tex]

Only B can be Pythagoras triplet.

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

Answer:

can u show me which following?

Step-by-step explanation:

show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;

Answer:

y=1/4x+6

Step-by-step explanation:

The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.