Match each statement (term) with its value in relation to 0 (definition).
Match
Term
Definition
A building is 38 feet tall.
A) -8.3
B)-27
The scuba diver was 38 feet below
sea level.
C) 2.7
The basement is 8.3 feet below
ground.
Oliver owes his sister $27.
D) 38
Erica jumped 2.7 feet above ground. E) -38

Answer:

m = -k/7

Step-by-step explanation:

(to) Solve for m;

7m + k = 0.         Given

      - k     -k        Subtract K from both sides

--------------------

      7m = -k        K becomes negative since it was subtracted

        _      _

        7      7         Divide both sides by 7 to get m by itself

---------------------

        m = -k/7      Answer

A number is :

[tex]x[/tex]

_________________________________

Three quarters of it means :

[tex] \frac{3}{4}x \\ [/tex]

_________________________________

Decrease by 20 means :

[tex] \frac{3}{4}x - 20 \\ [/tex]

_________________________________

Equals to 82 means :

[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]

_________________________________

What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]

Plus sides 20

[tex] \frac{3}{4}x = 82 + 20 \\ [/tex]

[tex] \frac{3}{4}x = 102 \\ [/tex]

Multiply sides by 4

[tex]3x = 102 \times 4[/tex]

Divided sides by 3

[tex]x = \frac{102 \times 4}{3} \\ [/tex]

[tex]x = \frac{102}{3} \times 4 \\ [/tex]

Simplify

[tex]x = 34 \times 4[/tex]

[tex]x = 136[/tex]

So that number is 136 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Alyssa’s lemonade recipe

Step-by-step explanation:

→ Work out how much lemons is needed per gallon for Alyssa’s lemonade recipe

9 lemons = 2.5 gallons

(÷ 2.5)      =     (÷ 2.5)

3.6 lemons = 1 gallon

→ Work out how much lemons is needed per gallon for Brian’s lemonade recipe

12 lemons = 4 gallons of water

(÷ 4)            =    (÷ 4)

3 lemons = 1 gallon of water

→ Now compare

Alyssa’s lemonade recipe ⇒ 3.6 lemons = 1 gallon

Brian’s lemonade recipe ⇒ 3 lemons = 1 gallon of water

Brian's lemonade recipe requires more water.

Alyssa uses 10 gallons of water for 36 lemons. Brian uses 12 gallons of water for 36 lemons. Therefore Brian's lemonade recipe requires more water.

The answer is 3,162

I got it by adding what I got from when I subtracted and then I added up all the things here's the work 1870+975+317=3,162

Answer:

40%

Step-by-step explanation:

subctract taxes by multiplying the total earnings by the tax rate (.24) leaving rebecca with $3230. then divide her food/rent costs by what she has left (3230)

=0.4 ; 40%

Answer:

1/5 as a percentage:

1/5*100

1/1*20

20/1

20%

1/5 as decimal:

(JUST SIMPLY DIVIDE 1/5)

0.2

Answer:

20% and 0.20

Step-by-step explanation:

Let's say 5/5 = 100, so then in order to convert 1/5 into a percentage, all you have to do is divide 100 by 5, and that will be your percentage:

100 / 5 = 20

So, 1/5 = 20%

Now, as a decimal its basically the same thing, but instead of thinking of it as 100, you think of it as 1.00, and then your decimal form of 1/5 will be 0.20

Hope this helps :)

Answer:

Charles: 17 points

Adam: 25 points

Bethany: 30 points

Answer:

Adam scored 25 points.

Bethany scored 30 points.

Charles scored 17 points.

Step-by-step explanation:

A = Adam, B = Bethany, C = Charles

What we know:

C + 8 = A

A +  5 = B

A + B + C = 72

Charles:

C + 8 + 5 = B

C + (C + 8) +  (C + 13) = 72

72 - 8 - 13 = 51

51/3 = 17

Charles scored 17 points.

Bethany:

17 + 13 = 30

Bethany scored 30 points.

Adam:

17 + 8 = 25

Adam scored 25 points.

Answer:

y = x

Step-by-step explanation:

The C's are both placed at 5

Answer:

B. 242

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

it's 9 squared and 5 square. 9^2 5^2

Answer:

x = 9

Step-by-step explanation:

For the lines to be parallel, then

9x + 8 and 15x - 46 are alternate angles and congruent, thus

15x - 46 = 9x + 8 ( subtract 9x from both sides )

6x - 46 = 8 ( add 46 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

Answer:

Step-by-step explanation:

15x-46 8+46=15x-9x or, 54=6x or, 54/6=× THEREFORE, x = 9

Answer:

18.8947368

Step-by-step explanation:

Answer: 18.8947368421

Step-by-step explanation:

Answer:

12x

Step-by-step explanation:

2x2=4

4+14x-8

4-8+14

-4+14x=12x

Answer:

[tex]\Large \boxed{\sf \bf 2x^2-12x+10}[/tex]

Step-by-step explanation:

Hello,

As 1 and 5 are roots we can write, with a real number, the quadratic equation as

a(x-1)(x-5)

and as the leading coefficient is 2 then a = 2

It comes

[tex]2(x-1)(x-5)=2(x^2-6x+5)=2x^2-12x+10[/tex]

Thanks

The quadratic equation will be 2x²-12x+1=0.

Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the roots of the quadratic equation are 1 and 5 and the leading coefficient is 2.

The equation will be written as,

Quadratic equation = 2( x - 1 ) ( x - 1 )

Quadratic equation = 2 ( x² + 4x - 5)

Quadratic equation  = 2x² + 8x - 10

Therefore, the quadratic equation will be 2x²-12x+1=0.

To know more about quadratic equations follow

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[tex]f(x) = \frac{1}{3}x - 4 \\ [/tex]

[tex]y = \frac{1}{3}x - 4 \\ [/tex]

Subtract the sides of the equation plus 4

[tex]y + 4 = \frac{1}{3}x \\ [/tex]

Multiply the sides of the equation by 3

[tex]3(y + 4) = x[/tex]

[tex]3y + 12 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = 3x + 12 [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer: 32.5

Step-by-step explanation: you divide it.

When f(x) is substituted with a number, you just plug the number into wherever you see x:

_____________

f(12) = 3/2x + 14

f(12) = 3/2(12) + 14

f(12) = 18 + 14

f(12) = 32

f(-4) = 3/2x + 14

f(-4) = 3/2(-4) + 14

f(-4) = -6 + 14

f(-4) = 8

f(0) = 3/2(0) + 14

f(0) = 0 + 14

f(0) = 14

Answer: mg they left u hanging for some time here hol up,

y=−25

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y/5-2-(-7)=0

y/5          

(y/5 -  2) -  -7  = 0  

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

   2 =  2/1=2.5/5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y - (2.5/5 5)=y - 10

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 y+25

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  y+25  = 0

4.2      Solve  :    y+25 = 0  

Subtract  25  from both sides of the equation :  

                     y = -25

Answer:

21 com. 11 com. 15 com. 16 com. 29 prime. 13 prime.

Step-by-step explanation:

Answer:prime 29,11,13 composite 21,15,16

Step-by-step explanation:

Answer:

9.230095943 or 9.2

Step-by-step explanation:

Trigonometry: sine, cosine, tang: Sohcahtoa

O: opposite(side from angle)

H: hypotenuse(side opposite from 90*)

A: Adgacent(side from angle)

Use scientific calculator: tang(40*) x 11 = 9.230095943

Answer:

The surf shop was higher and the distance would be 12.8 feet above the oceans surface.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have attached a written explanation to help :).

Let's say each side of the square =[tex]x[/tex]

If we put 7 squares in a row to make the rectangle,

length of the rectangle = [tex]7x[/tex]

Area of a rectangle = length multiplied by width

Area of rectangle =  [tex]7x[/tex] multiplied by [tex]x[/tex] = [tex]7x^2[/tex]

We are also told that the total area = 567

So [tex]7x^2 = 567[/tex]

Now solve for [tex]x[/tex].

Divide both sides by 7.

[tex]\frac{7x^2}{7} = \frac{567}{7}[/tex]

[tex]x^2 = 81[/tex]

Then square root both sides to find [tex]x[/tex]

[tex]x = \sqrt{81}[/tex] = 9

Finally, the question asks to find the length of the collage which we said was [tex]7x[/tex] and we know [tex]x = 9[/tex]

Length of collage = [tex]7x = 7[/tex] multiplied by [tex]9[/tex] = ?

Answer:

x = 62

Step-by-step explanation:

just do vertically opposite:

180-90-28 = 62

because they are vertically opposite, x=62

also could do:

90-28=62

Answer:

x = 32n + 437............

Answer:

1.

(x,y)---Ordered Pair of a point in two dimensional plane

x=Abscissae

y=Ordinate

2.

xy--Two Dimensional Plane

or xy-Plane

3.

xy----Monomial , that is a single term having

Step-by-step explanation:

There is only one line that can pass through two points and a plane which has only two dimensions intersects with another plane along a one dimensional line

The figure shows a two lines and two planes

1. [tex]\overset{\longleftrightarrow}{XY}[/tex] shows the symbol of a line, and the capital letters X and Y,

The other names for [tex]\overset{\longleftrightarrow}{XY}[/tex] are;

i) Line XY [tex]\left(\overset{\longleftrightarrow}{XY} \right)[/tex]and ii) Line YX, [tex]\left(\overset{\longleftrightarrow}{YX} \right)[/tex]

Reason:

A line can be named by reversing the order of the letters

2. Opposite rays are two rays that extends in opposite directions but have the same endpoint

Opposite rays are; [tex]\overset{\longrightarrow}{RY}[/tex], and [tex]\overset{\longleftarrow}{RX}[/tex]

Reason:

The rays [tex]\overset{\longrightarrow}{RY}[/tex], and [tex]\overset{\longleftarrow}{RX}[/tex] have a common end point, R, and they move in opposite direction

3. The intersection of two planes is a line;

The intersection of the two planes is the line [tex]\mathbf{\overset{\longleftrightarrow}{RS}}[/tex]

Learn more about points, lines, and planes here:

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Answer:

86 meters equals 3385.83 inches

825 centimeters equals 324.803 inches

Step-by-step explanation:

The formula is divide the length value by 2.54

Hope this helps!

So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2.

Answer:

x=100

Step-by-step explanation:

The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2

A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2

Therefore, the correct answer is option C) y= 7.5x-2.

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Answer:

- csc60°

Step-by-step explanation:

240° is in the third quadrant where csc < 0 , thus

csc240° = - csc(240 - 180)° = - csc60°

The expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.

The value of cosec (180°+α) is -cosec α because (180°+α) lies in the third quadrant and in the third quadrant cosecant is negative.

So, cosec 240° = cosec (180°+60°)

cosec (180°+α) = -cosec α

So, cosec (180°+60°) = -cosec 60°

Thus, the expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.

To get more about trigonometric ratios visit:

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Answer:

connor: Initial value is 200ft/ rate of change is 10

pilar: rate of change is -8/ initial value is 242

Step-by-step explanation:

so to figure out the initial value in a word problem, you need to see what it began or started with first and in the table to figure out the initial value, you need to see if there's a zero in the input and under the zero, the number in the output that's under 0 is the initial value. to find the rate of change in a word problem, if it says per, each, then it's the rate of change, Also to find the rate of change in a table you need to use this formula y²- y¹/x²-x¹ for example 234-242/1-0= -8/1 which is -8 for the slope. I hope my explanation helped. sorry if it's not clear