What would it cost to put a new carpet in45ft by 20 ft if cost 16.95 per sq yd plus 250 installation charge

Answer:

3

Step-by-step explanation:

The entire triangle shifts 2 to the left and up 6, the lengths of the sides remain the same, therefore:

AC = A'C' = 3

2(14m-8)=180

24m-16=180

24m=196

m= 8 and 1/6

The length of the square in centimetres in algebraic expression is 25m

The perimeter of a square is m meters.

The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:

Therefore,

perimeter of a square = 4l

where

Therefore,

m = 4l

where

l = m / 4 meters.

Therefore, the side length of the square in centimetres is as follows:

1 meters = 100 cm

m / 4 meters  = ?

cross multiply

length of the square in meters = m / 4 × 100

length of the square in meters = 100m / 4

length of the square in meters = 25m

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Answer:

d

Step-by-step explanation:

The explicit rule for this sequence in simplified form is,

⇒ \(a_{n}\) = 500n + 30,000

Where, n is number of months.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Mr. Red's first year salary is $30,000 and it increases by $500 each year.

Now, Let number of months = n

We can formulate explicit rule for this sequence in simplified form as,

⇒ \(a_{n}\) = 500n + 30,000

Therefore, The explicit rule for this sequence in simplified form is,

⇒ \(a_{n}\) = 500n + 30,000

Where, n is number of months.

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Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

8^2+15^2=c^2

64+225=c^2

289=c^2

Now square both sides

x=17

Answer:

x = 17

Step-by-step explanation:

\(c^{2} = a^{2} + b^{2}\)

\(c^{2} = 8^{2} + 15^{2}\)

\(c^{2} = 64 + 225\)

\(c^{2} = 289\)

\(\sqrt{c^2} = \sqrt{289}\)

\(c = 17\)

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

Answer:

y = -7/5x - 6.7

Step-by-step

y = -7/5x + 6. A Line that is parallel will always have the same slope. The slope is m. m in this situation = -7/5x. A lines equation is y = mx + b. m = -7/5. y = -7/5x + b. Now to find b we can substitute the given point which goes through the new line, (2, -6). In this point x =2 and y = -6. Now substitute the x and y values into our equation. y = -7/5x + b is now -6 = -7/5(2) + b. -7/5(2) = -7/10. -6 = 7/10 + b. Subtract 7/10 from -6. Its -6 and 7/10 or -6.7 . -6.7 = b. b = -6.7. Now substitute the b value into the equation. y = -7/5x -6.7.

Answer:

24

Step-by-step explanation:

Answer:

I think 96

Step-by-step explanation:

???????????????

Answer:

first option

Step-by-step explanation:

integers are like whole numbers but can also be negative

Answer:

A

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

Answer: For every one crayon, there are 2 markers

Step-by-step explanation:

We must divide each number by it's GCF

15 / 15 = 1

30 / 15 = 2

Answer: 1 to 2

Answer:

y > 1/3x - 5

Step-by-step explanation:

First, use the points to find the slope.  Use the equation for slope.

\(m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }\\m=\frac{-3-(-1) }{-3-3}\\m=\frac{-3+1 }{-3-3}\\m=\frac{-2}{-6}\\ m=\frac{1}{3}\)

Now, you need to find the y-intercept.  The y-intercept is the point on the graph that crosses the y-axis.  By looking at the graph, the y-intercept seems to be -5.

This gives you  1/3x - 5  for slope-intercept form.  

Now, you need to find which equality to use.  Because the line is dotted, it cannot be ≤ or ≥.  This leaves us with < and >.  To choose between the two, you need to test points.  Test a point to see if it matches the solution.  The point should be on the line but in the shaded area.

I'm gonna pick (0, 0).  This point is not on the line, and it is in the shaded region.

y   1/3x - 5

0   1/3(0) - 5

0   0 - 5

0 > -5

The equality > is the correct one.  This gives the equality  y > 1/3x - 5.

Answer: L is the answer for the question

Step-by-step explanation:

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

342 peanuts were divided equally into 6 small bags. "p" represents the total number of peanuts

To determine how many peanuts go in each bag, you have to divide the total amount of peanuts by the number of bags:

The variable of this example is the number of peanuts, and the constant is the number of bags.

So, the statements that apply are:

- The operation is a division

- 342 divided by 6 equals 57

-Each bag will have 57 peanuts.

-To evaluate, substitute 342 for the variable.

-Write the division expression as a fraction,

Answer:

The first one

Step-by-step explanation: hope this helps!

Answer:

False

Step-by-step explanation:

Since its a bigger number in the negative, it means it further from zero which makes it false

Answer:

C? yikes if im wrong mb

Step-by-step explanation:

5/6 in simpliest, its C id have to assume

Answer:

192in

Step-by-step explanation:

8*2=16

16*12=192in

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.

Given expression y² - 13y + ?

Comparing with the general equation

a = 1

b = -13

For perfect square trinomial

b² = 4ac

(-13)² = 4 * 1 * c

169 = 4c

c = 169/4

So the expression becomes,

y² - 13y + 169/4 = (y - 13/2)²

Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.

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Answer:

this is the solution

(2−7)(3+4)

Step-by-step explanation:

Answer:

(X+1)(6x-21)

Step-by-step explanation:

6x^2- 13x - 28

6x^2-(21-6)x-28

6x^2-21x+6x-28

X(6x-21)+1(6x-21)

(X+1)(6x-21)

The probability that all 4 cards are face cards is 0.00182842367.

The face cards are the King, Queen, and Jack (sometimes known as the Knaves). There are 12 face cards in the 52-card deck of playing cards.

The cards are drawn without replacement,

The probability of getting a face card in first draw is 12/52.

As it is without replacement, in the second draw the probability is 11/51.

In third draw, it is 10/50.

In the fourth draw the probability is 9/49.

We have to draw all the four cards, so we multiply the probabilities, to get the final probability.

=12/52x 11/51 x 10/50 x 9/49

=0.00182842367.

Therefore, the probability that all 4 cards are face cards is 0.00182842367.

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Answer: 14

Step-by-step explanation:

Answer:

The answer is (x + 10)

Step-by-step explanation:

(9x + 6) - (8x - 4)

9x + 6 - 8x + 4

Rearrange it

9x - 8x + 6 + 4

Combine like terms

x + 10

Thus, The answer is (x + 10)

Answer:

H=12

Step-by-step explanation:

Khan said so

Answer: pretty sure

There were 108 children and 175 adults.

Answer:

g(3) = 11

g(-3) = 16

g(-1) =3

Step-by-step explanation:

For g(3)

g(x)= x² +2

g(3) = 3² + 2

g(3) = 9+2

g(3) = 11

For g(-3)

g(x) = -3x + 7

g(-3) = -3(-3) + 7

g(-3) = 9 + 7

g(-3) = 16

For g(-1)

g(x) = x² + 2

g(-1) = (-1)² +2

g(-1) = 1+2

g(-1) =3

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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