adding rational numbers:
after swimming 60 feet below the surface of the water, a whale swims up 30 feet. use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.

ANSWER:

A. The equation is -60 + 30 = 30. The whale is 30 feet below the waters surface.

B. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.

C. The equation is -60 + 30 = -90. The whale is 90 feet below the waters surface

D. The equation is -60 + (-30) = -30. The whale is 30 feet below the waters surface.​

Answer:

36

Step-by-step explanation:

If you divide 54 by 3 you get 18. Now we get the ratio of boys which is 2 and you multiply it by 18 as 1 ratio I'm this case is 18.

Once you multiply the two numbers, you get 36 boys.

Hope this helps! :)

Answer:

36 boys

Step-by-step explanation:

The 3 part of the ratio relates to 54 girls.

Divide the number of girls by 3 to find the value of one part of the ratio.

54 ÷ 3 = 18 ← value of 1 part of the ratio, thus

2 parts = 2 × 18 = 36 ← number of boys

Answer:

1 3/6

Step-by-step explanation:

Answer:

Replace the t in the expression for q(t) with t/29, and replace the t in the expression for r(t) with 29t.

Step-by-step explanation:

Given q(t) = 29t and r(t) = t/29, to show that q(t) and r(t) are inverse of each other, we can simply find q(r(t) and r(q(t))

To find q(r(t):

q(r(t)) = q(t/29)

q(t/29) is gotten by replacing t in q(t) with t/29 as shown;

q(t/29) = 29(t/29)

q(t/29) = 29t/29

q(t/29) = t

Also for r(q(t)):

r(q(t)) = r(29t)

r(29t) is gotten by replacing t in r(t)/with 29t as shown;

r(29t) = 29t/29

r(29t) = t

Since r(q(t)) = q(r(t)) = t, this shows that they are inverses of each other.

Answer:

A

Step-by-step explanation:

Answer:

24; 24

Step-by-step explanation:

if x = 24:

24 - 12 = 12. That is true and the second equation is the same so x = 24 and y = 24

Answer:

So its 24 and 24 because

Step-by-step explanation:

The answer for the first equation is that x=24 because 24-12=12 so (x-12) = 12 is 24

For the second equation y is also 24 because it's the same equation just rearranged so y-12=12 is 24

Answer: 0,1,2,3

Step-by-step explanation:

Since y is greater than or equal to 0 every number.

But for 7.2-y is greater than 4,

If y is 1, 6.2>4

If y is 2, 5.2>4

If y is 3, 4.2>4

If y is 4, 3.2 is not greater than 4.

The integer solution to each system of the inequalities is 0≤y≤3.2

Given the inequalities y≥0  and 7.2−y≥4

For the inequality y≥0 , this means that y is a value greater than zero.

For the inequality 7.2−y≥4

subtract 7.2 from both sides

7.2−y - 7.2≥4 - 7.2

-y ≥ -3.2

y ≤ 3.2

Combining both inequalities;

y≥0 and y ≤ 3.2

0≤y≤3.2

Hence the integer solution to each system of the inequalities is 0≤y≤3.2

Learn more here: https://brainly.com/question/15816805

Answer:

8m

Step-by-step explanation:

mark me Brainliest please

Answer:

Scientific Notation: 5.6 x 10^12

Expanded Form: 5600000000000

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

5.6 x 10^12

I hope this helps.

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

5600000000000

Step-by-step explanation:

(8x10^5)x(7x10^6)

Work the brackets first-

* 8x10^5=8x100000=800000

* 7x10^6=7x1000000=7000000

Complete the operation-

800000x7000000=5600000000000

Note-

10^5=10x10x10x10x10=100000

Answer:

B

BC,BD

ABC,CBA

Step-by-step explanation:

Answer:

B

BC,BD

ABC,CBA

Hope this helps

Answer:

[tex]\boxed {\tt b=24 \ centimeters}[/tex]

Step-by-step explanation:

This is a right triangle, so we can use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

a and b are the legs, while c is the hypotenuse.

One leg is 10 centimeters. The hypotenuse is 26 centimeters. Therefore,

[tex]a= 10 \ cm \\c= 26 \ cm[/tex]

[tex](10 \ cm )^2+b^2=(26 \ cm)^2[/tex]

Solve the exponents.

[tex]100 \ cm^2+b^2=(26 \ cm)^2[/tex]

[tex]100 \ cm^2+b^2=676 \ cm^2[/tex]

Subtract 100 from both sides of the equation.

[tex]100 \ cm^2- 100 \ cm^2+b^2=676 \ cm^2- 100 \ cm^2[/tex]

[tex]b^2=676 \ cm^2 - 100 \ cm^2[/tex]

[tex]b^2= 576 \ cm^2[/tex]

Take the square root of both sides of the equation.

[tex]\sqrt{b^2} =\sqrt{576 \ cm^2}[/tex]

[tex]b=\sqrt{576 \ cm^2}[/tex]

[tex]b= 24 \ cm[/tex]

The other leg of the triangle is equal to 24 centimeters.

Answer:

-162°c

Step-by-step explanation:

-54×3=-162=-162°c

Answer:

-2=-2

Step-by-step explanation:

You can't simplify it

Answer:

D.

Step-by-step explanation:

Answer:

the correct answer is C

Step-by-step explanation:

Answer:

The answer is -2

Step-by-step explanation:

Start at -7 on the number line. Work your way to the right towards the positive numbers by five and there is your answer!

Then the position of the expression 5 + (-7) on the number line will be at negative 2.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5 + (-7)

Calculated the expression, then we have

⇒ 5 + (-7)

⇒ 5 - 7

⇒ - 2

Then the position of the expression 5 + (-7) on the number line will be at negative 2.

The diagram is given below.

More about the number line link is given below.

https://brainly.com/question/13189025

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Corresponding angles

Answer:

c

Step-by-step explanation:

took it on edge

Answer:

The factors of them are, 1, 2, and 4.

Step-by-step explanation:

Answer: 5m^2 (4m-5)

Step-by-step explanation: Factor 5m^2 out of 20m^3

5m^2 (4m)-25m^2

Factor 5m^2 out of -25m^2

5m^2 (4m)+5m^2(-5)

Factor 5m^2 out of 5m^2 (4m)+5m^2(-5).

5m^2(4m-5)

Answer:

4a ^2, 5a

Constants- -3

Coefficients- 4, -5

Second Expression:

Terms- 7(3x+5), 11y

Constants- 7, 5

Coefficients- -3, 11

For the first expression;

For the Second Expression:

The terms in an expression with just numeric components that have a fixed value are known as constants. The number next to the variable in the phrase is the variable's coefficient.

In a polynomial, series, or expression, a coefficient is a multiplicative factor that can be any expression but is typically a number. They may also be referred to as parameters if the coefficients are variables in and of themselves.

Learn more about expressions at

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Answer:

− 4 n − 5

Step-by-step explanation:

Simplify the expression.

Answer: 16 tables are needed

Step-by-step explanation: Brainlest please

Answer:

16 tables

Step-by-step explanation:

divide 128 with 8 which is 16

Answer:

The answer is -4

Step-by-step explanation:

Hope this helps! :)

Answer:

The x-int be -8 and the y-int would be -6.

Step-by-step explanation:

Look across the x and y axis to see where the line crosses and that'll determine the x and y intercepts.

Answer:

y-1=2*(x+7)

Step-by-step explanation:

Answer:

the answer is 7.5

Step-by-step explanation:

because it is going across the middel

Picture is graph, if you want more of it then tell me.

Answer:

6√2

Step-by-step explanation:

√32+√18-1√4

√16×2+√9×2-1√2

4√2+3√2-1√2

6√2

Answer:

8:3

Step-by-step explanation:

since its water to drink mix you do 8 cups of water first then 3 cups of drink mix which gives you 8:3.

Answer:

8:3

Step-by-step explanation:

since its water to drink mix you do 8 cups of water first then 3 cups of drink mix which gives you 8:3

Answer:

Step-by-step explanation:

ANSWER

x^6 + 25x^5 + 250x^4 + 1250x^3 + 3125x^3 + 3125x

Step-by-step explanation: