2 + 2 Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?

Answer:

the correct answer is the product of current value and amount owed

Equity is correctly defined as the difference between current value and amount owed.

Equity is defined as an interest (ownership interest) in property that may be offset by debts or other liabilities. Equity is measured for accounting purposes by subtracting liabilities from the value of the assets owned

Given is to find the definition of Equity from the given ones.

Equity is correctly defined as the difference between current value and amount owed.

Therefore, Equity is correctly defined as the difference between current value and amount owed.

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Answer:

Step-by-step explanation:

[tex]1 \frac{1}{2} + 2 \frac{1}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]

Convert the mixed number to an improper fraction

[tex] \frac{3}{2} + \frac{5}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]

Multiply the fractions

[tex] \frac{3}{2} + \frac{15}{8} - \frac{1}{2} [/tex]

Calculate the sum

[tex] \frac{3 \times 4 + 15}{8} - \frac{1}{2} [/tex]

[tex] \frac{12 + 15}{8} - \frac{1}{2} [/tex]

Add the numbers

[tex] \frac{27}{8} - \frac{1}{2} [/tex]

Calculate the difference

[tex] \frac{27 - 1 \times 4}{8} [/tex]

[tex] \frac{27 - 4}{8} [/tex]

[tex] \frac{23}{8} [/tex]

Hope this helps...

Best regards!!

Answer:

45

Step-by-step explanation:

10/4x3=7.5

8/4x3=6

6x7.5=45yards

Answer:

(-5,0)

Step-by-step explanation:

In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number

For Decreasing:

(-8,-5)

(4,8)

For Increasing:

(-5,0)

Answer:

first option

Step-by-step explanation:

After it's enlarged, the new dimensions will be 6 * 3.5 = 21 and 8 * 3.5 = 28, therefore, the new perimeter will be 2(21 + 28) = 2 * 49 = 98 and the area will be 21 * 28 = 588.

The red graph is the black graph reflected in the y axis, y = f(-x)

It's an odd way to write it, but the answer is:

Answer: D

Answer:

C (-3,2)

Step-by-step explanation:

Well point Q on the parabola is located on point (1,2),

The corresponding point means the point located all the way to the left of Q which is (-3,2).

Thus,

the point that is corresponding to point Q is C. (-3,2).

Hope this helps :)

Answer:

Option D. (8, – 4)

Step-by-step explanation:

3x + 4y = 8 ..... (1)

x – y = 12.... (2)

To solve the above equation by elimination method, do the following:

Step 1:

Multiply equation 1 by the coefficient of x in equation 2 i.e 1.

Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:

1 × Equation 1

1 × (3x + 4y = 8)

3x + 4y = 8 ...... (3)

3 × Equation 2

3 × ( x – y = 12)

3x – 3y = 36......(4)

Step 2:

Subtract equation 3 from equation 4. This is illustrated below:

. 3x – 3y = 36

– (3x + 4y = 8)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

– 7y = 28

Divide both side by the coefficient of y i.e –7

y = 28/–7

y = – 4

Step 3:

Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:

x – y = 12

y = –4

x – (–4) = 12

x + 4 = 12

x = 12 – 4

x = 8

Therefore, the solution to the equation above is (8, – 4)

Answer:

(8, – 4)

Step-by-step explanation:

my math teacher told me

Answer:

6x - 5y = 15 and x + 2y = 0

Step-by-step explanation:

Here we are given the following equations:

i) x-2y= 4

ii) 4x+5y= 8

iii) 6x-5y=15

iv) x+2y=0

Required:

Which system of equations has a solution of approximately (1.8, –0.9).

To find the approximate equations, substitute x and y for  1.8 and  -0.9 into all the equations respectively and check the resulting values

i) Substitute (1.8, -0.9) in x-2y= 4:

1.8 - 2(-0.9) = 4.

1.8 + 1.8 = 4.

3.6 ≠ 4.

ii) Substitute (1.8, -0.9) in 4x+5y= 8

4(1.8) + 5(-0.9) = 8

7.2 - 4.5 = 8.

2.7 ≠ 8.

iii) Substitute (1.8, -0.9) in 6x-5y=15

6(1.8) - 5(-0.9) = 15.

10.8 + 4.5 = 15

15.3 ≠ 15.

This equation has a solution that is close, therefore it is correct.

iv) Substitute (1.8, -0.9) in x+2y=0

1.8 + 2(-0.9) = 0.

1.8 - 1.8 = 0.

0 = 0.

x + 2 y = 0 has the exact value, therefore it is also correct.

The system of equations that has a solution of approximately (1.8, –0.9) are:

x+2y=0 and 6x-5y=15

Answer:

the correct answer is A

Step-by-step explanation:

Answer:

false!

Step-by-step explanation:

i just answered true and it was false. so false is correct!

The statement that the horizontal cross-sectional shapes of the given prism are all congruent is false.

Prisms are three-dimensional shapes that have its two ends to be parallel and congruent

The given prism is a trapezoidal prism.

For the horizontal sectional shapes given prism to be congruent, the prism must be cut through the middle

Since the prism can be divided at any point, then the given statement is false

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Step-by-step explanation:Step-by-step explanation:

For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:

(x + a) ² = b

'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.

So, she can take square roots of both sides then, like this

√(x + a)² = √b

x + a = ±√b

x = -a ± √b

Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.

It is the nature of the problem being solved that determines if we take just one or both of these answers.

Answer:

The longest side of the ΔQRS is Side RS.

Step-by-step explanation:

Given:  m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.

To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and  m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.

Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.

Answer:

Side e = 5.7

Step-by-step explanation:

Given

d = 10

f = 7

<E = 34°

Required

Calculate length of side e

This can be calculated using law of cosine as follows;

e² = d² + f² - 2 * d * f * Cos(<E)

Substitute 10 for d, 7 for f and 34 for <E. This gives

e² = 10² + 7² - 2 * 10 * 7 * cos34

e² = 100 + 49 - 140 * cos34

e² = 100 + 49 - 140 * 0.8290

e² = 100 + 49 - 116.06

e² = 32.94

Take Square Root of both sides

e = √32.94

e = 5.7 (Approximated)

Answer:

Step-by-step explanation:

Assuming each person gets the same amount of work done, each wall in the first scenario takes 8 minutes to paint. If 3 people paint 4 walls, then each person is painting 1 1/3 of a wall. We can use that to find out how long it takes one person to paint 1 1/3 walls:

[tex]\frac{8min}{wall}*\frac{4}{3}walls=\frac{32}{3}min[/tex]. Interpreting that, it takes each person 10 2/3 minutes to paint 1 1/3 walls.

If 4 people paint 7 walls, that means that each person is painting 7/4 walls, or 1.75 walls each. Using the fact that it takes 10.66666 minutes to paint 1.33333 walls, we can find out how many minutes it will take to paint 1.75 walls:

[tex]\frac{10.6666}{1.33333}=\frac{x}{1.75}[/tex] Cross multiply to get

18.666655 = 1.3333x so

x = 14.000 minutes

Answer:

Yes. There are two pairs of congruent sides and a pair of congruent angles. This follows the SAS rule.

Answer:

12.5% failed

Step-by-step explanation:

Convert the fraction 10 out of 80 into a decimal to become the percentage

Answer: 87.5% failed driving test is 12.5%

Step-by-step explanation:

Answer:

The correct option is;

B. It is the ratio of the area of the circle to the area of the square from a cross section.

Step-by-step explanation:

The formula for the volume of a pyramid = 1/3*Area of base*Height

The formula for the volume of a cone = 1/3*Area of base*Height

The area of the base of the square pyramid of side 2r = 2r*2r = 4r²

The area of the base of the cone of base radius r = πr²

The ratio of the volume of the cone to the volume of the square pyramid is given as follows;

[tex]\dfrac{\dfrac{1}{3} \times \pi \times r^2\times h}{\dfrac{1}{3} \times( 2 \times r)^2\times h}[/tex]

Given that the height are equal, h/h = 1, which gives;

[tex]\dfrac{\dfrac{1}{3} \times \pi \times r^2}{\dfrac{1}{3} \times( 2 \times r)^2} = \dfrac{Area \ of \ the \ circle}{Area \ of \ the \ square} =\dfrac{\dfrac{1}{3} \times \pi \times r^2}{\dfrac{1}{3} \times 4 \times r^2} = \dfrac{\pi }{4}[/tex]

Therefore, where the π/4 comes from is that it is the ratio of the area of the circle to the area of the square from a cross section.

Answer:

b

Step-by-step explanation:

Answer:

im pretty sure its the third one

Step-by-step explanation:

i guessed but it might be right

Answer:

Step-by-step explanation:

A of triangle = 1/2 * b * h

b = 6

h = 2

2 * 6 * 0.5

= 12 * 0.5

A of square = l * w

2 * 2

A of Triangle = 1/2 * b * h

2 * 2 * 0.5 =

4 * 0.5

2 + 4 + 6

= 6 + 6

Answer:

187

Step-by-step explanation:

2*89=178

178+2=180

180-63=117

117+70=187

Answer:

47

Step-by-step explanation:

You'd have to follow PEMDAS.

First we multiply:

89*2=178.

Now we add:

178+2=180

AND

63+70=133.

Finally, we subtract:

180-133=47.

Hope this helps!! <3

Answer:

2 hours

Step-by-step explanation:

Let's denote the amount of time we need to find out, t.

=> 600 + 50t < 500 + 100t

or 600 - 500 < 100t - 50t

or 100 < 50t

or 100/50 < t

or t > 2

=> After 2 hours, company B will be cheaper option than company A

Answer:

HL theorem

Step-by-step explanation:

Since this is a right triangle, we can use the HL ( hypotenuse leg theorem)

We know that one of the legs are equal to each other  by the lines on the legs and the hypotenuse is congruent by the reflexive property

Answer:

A Yes, because every x value corresponds to exactly one y value

Step-by-step explanation:

A function has a one to one correspondence, or every x goes to only one y value

Since each x goes to only 1 y value this is a function

Answer: It is a function

Step-by-step explanation:

One way to tell if it is a function or not, is to look at the X and Y. While 2 different X values can get the same Y value, one X value should not have 2 different Y values. In the table you can see, there are no repeating X values that have different Y values.

EXAMPLES:

(14, 15)

(13,15)

If these two showed up in a table, it could still be a function

(14, 15)

(14, 16)

If these pairs showed up in a table, than it would not be considered a function

Answer:

the answer is to your question is 140

Answer:

140°

Step-by-step explanation:

9 - 2 = 7

7 x 180= 1260° (sum of all interior angles)

1260 ÷ 9= 140° (measure of one interior angle)

Answers

B, D and E are proportional

A, C, and F are not proportional

y = 3+x .... not proportional

y = 1.6x .... proportional

y = 3/(4x) .... not proportional

y = x .... proportional

y = 12x .... proportional

y = 2x+1 ... not proportional

=================================================

Explanations:

Anything in the form y = k*x is a direct proportional equation. As x goes up, so does y. The same happens if x decreases, and we'll have y also decrease. They go up together or down together. This is where the "direct" comes from. Specifically they change the same amount each time (hence the term "proportional").

For something like y = 1.6x, we have k = 1.6

In the equation y = x, we have y = 1x in reality so k = 1 here.

Lastly, y = 12x has k = 12.

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

The other equations are not in the form y = kx. Whenever we have y = mx+b, with b nonzero, then y = mx+b is not proportional. The value of b must be 0 for it to fit y = kx form. This rules out y = 2x+1 and y = 3+x or y = x+3.

The equation y = 3/(4x) is an inversely proportional equation in the form y = k/x. It cannot be written as y = kx. Note how x is in the denominator for y = 3/(4x) while the same can't be said for y = kx. Inversely proportional equations have x increase and y decrease, or vice versa. They go in opposite directions.

Answer:

The total bill was $84

Step-by-step explanation:

Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:

[tex]\frac{x}{6}=y[/tex]

[tex]\frac{x}{4}=y+7[/tex]

Now we can substitute the first equation into the second and solve for x

[tex]\frac{x}{4}=\frac{x}{6}+7\\\frac{x}{4}-\frac{x}{6}=7\\\frac{x}{12}=7\\x=7*12=84[/tex]

Therefore, the total bill was $84

Answer:

90 degrees

Step-by-step explanation:

given:

ABCD~EFGH

mB=mBCD=90

mBAD=128

find mFGH

this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees

Answer:

2[tex]x^{4}[/tex] + x³ - x² + 54x - 56

Step-by-step explanation:

Area (A) is calculated as

A = length × width

   = (x² - 2x + 8)(2x² + 5x - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(2x² + 5x - 7) - 2x(2x² + 5x - 7) + 8(2x² + 5x - 7) ← distribute all parenthesis

= 2[tex]x^{4}[/tex] + 5x³ - 7x² - 4x³ - 10x² + 14x + 16x² + 40x - 56 ← collect like terms, thus

A = 2[tex]x^{4}[/tex] +x³ - x² + 54x - 56

The expression which represents the area of Dylan’s room will be 2x⁴ - 7x³ - 21x² + 82x - 56.

What is the area?

The area is the space occupied by any shape, find out by multiplying its length and breadth.

We have,

Lenght =  (x² – 2x + 8)

and

Breadth = (2x² + 5x – 7)

Now, simplifying the above expressions,

(x² – 2x + 8)

It can be written as , Using middle term split method,

x² – 4x + 2x + 8

= x(x – 4) - 2(x - 4)

= (x – 4) (x - 2)

In the same way,

(2x² + 5x – 7)

= 2x² +7x  - 2x – 7

= x(2x +7)  - 1(2x + 7)

= (x - 1) (2x +7)

So,

So,

Using the area formula,

i.e.

Area = Length × Breadth

Area =  (x² – 2x + 8) ×  (2x² + 5x – 7) = (x – 4) (x - 2) (x - 1) (2x +7)

Now,

Area = 2x⁴ - 7x³ - 21x² + 82x - 56

Hence we can say that the expression which represents the area of Dylan’s room will be  2x⁴ - 7x³ - 21x² + 82x - 56.

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