A garden table and a bench coat $788 combined. The garden table cost $62 less than the bench. What is the cost of the bench?

Answer:

The Answer is B/2/middle option

Step-by-step explanation:  im great at math

Answer:

Step-by-step explanation:

if a person is not a hockey player, they are not a prof athlete

if a person is a hockey player, they are a prof athlete

if a person is not a prof athlete, then they r not a hockey player

Answer:

Step-by-step explanation:

I got 196/90

I got this by plugging in 47 for y so I got 4(2+47) and got 196 when I solved it. The bottom one I did 2(47-2) and got 90...( I don't know if it's right though, if wrong I'm sorry)

Answer:

2/5.

Step-by-step explanation:

1/2 times 4/5 is equal to (1/2) * (4/5), which simplifies to 4/10. Since 4/10 can be simplified to 2/5, the answer is 2/5.

Answer:

the answer is 2/5 or as a decimal 0.4

the value of x is 5 feets and p = 2, q = 6 and r = 16.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,

Area of rectangle is A = a*b

Perimeter = 2(a+b)

given in the question that the perimeter is 16 feet.

p= 2(3+x)

p = 6+2x

p = 2

q = 6

r = 16

2x = 10

x =5 feet.

Hence, the value of x is 5 feets.

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The additional amount Ahmad will spend if Ahmad will spend at most $34 on gifts. So far, he has spent $21 is c = 13.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

Ahmad will spend at most $34 on gifts,

He spent = $21,

c = additional amount

The total amount he can spend now = total amount - he spent

c = 34 - 21

c = 13

Therefore, the additional amount Ahmad will spend, if Ahmad will spend at most $34 on gifts. So far, he has spent $21 is c = 13.

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The Integral value of  (2x+11)/(x²-x-2) is[tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.

The given integral is [tex]\int\dx \frac{2x+11}{x^{2} -x-2} dx[/tex]

By partial fractions we divide the integral

Apply the sum rule:

∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx+\int\dx \frac{11}{x^{2} -x-2} dx[/tex]

Let  us calculate the first integral part

[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx[/tex]

Let us use the partial fraction of [tex]\frac{x}{x^{2} -x-2} dx:\frac{1}{3(x+1)} +\frac{2}{3(x-2)}[/tex]

[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2\int\dx \frac{1}{3(x+1)} dx+ \frac{2}{3(x-2)} dx[/tex]

[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)[/tex]

Now let us integrate second term.

[tex]\int\dx \frac{11}{x^{2} -x-2} dx=11\int\dx \frac{1}{x^{2} -x-2} dx[/tex]

We can write denominator as x²-x-2= (x-1/2)²-9/4

[tex]=11\int\dx \frac{1}{(x-\frac{1}{2}) ^{2} -\frac{9}{4}} dx[/tex]

We apply u substitution method

[tex]\int\dx \frac{11}{x^{2} -x-2} dx=-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)[/tex]

[tex]=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]

Hence, [tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex] is the integral value of of (2x+11)/(x²-x-2).

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The congruent reason for 5 is (c) ASA

From the question, we have the following parameters that can be used in our computation:

Triangles = VWX and ZYX

The ASA similarity theorem implies that the corresponding angles of the triangles in question are similar and the sides between these angles are congruent

From the question, we can see that the following corresponding angles on the triangles:

Angles W and Y

Angles X and X

This implies that these angles are congruent angles

For the triangle to be congruent by ASA, the following sides must also be congruent

WX must be congruent to YX

This is indicated in the table of values at (3)

Hence, the additional information on the similarity of the triangles is (d) ASA

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The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The function is given below.

f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)

Factorize the expression, then we have

f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)

f(x) = x⁴ - 2x³ + 4x³ - 8x² + 5x² - 10x + 6x - 12

f(x) = x³(x - 2) + 4x²(x - 2) + 5x(x - 2) + 6(x - 2)

f(x) = (x - 2)(x³ + 4x² + 5x + 6)

f(x) = (x - 2) (x³ + 3x² + x² + 3x + 2x + 6)

f(x) = (x - 2)[x²(x + 3) + x(x + 3) + 2(x + 3)]

f(x) = (x - 2)(x + 6)(x² + x + 2)

The zeroes of the function are given as,

f(x) = 0

(x - 2)(x + 3)(x² + x + 2) = 0

x = 2, -3, - 1/2 + (√7/2)i, - 1/2 - (√7/2)i

The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.

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Multiplication expression equivalent to 5/8 ÷ 1/16  is 5/8 × 16.

What do you mean by fractionol expression?

Fractions with a variable in the denominator are called fractional expressions. They frequently also include variables in the numerator. Since fractions can also be conceived of as ratios, these expressions are often called rational expressions. In algebra, we most frequently refer to fractional expressions as expressions that are the ratio of two polynomials.

Given expression:

5/8 divided by 1/16

⇒ 5/8 ÷ 1/16

= 5/8 × 16

= 10

Therefore, multiplication expression equivalent to 5/8 ÷ 1/16  is 5/8 × 16.

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Answer: length=6 feet

Step-by-step explanation:

For this you need to create one equation from the question and use the equation for perimeter.

equation 1 is     2W+2L=P   where perimeter is 43.

equation 2 is w=3L-2.5

-Now you want to take equation two and plug it into equation 1 for w to find L

It will be  2(3L-2.5)+2L=43 and you want to solve for L

distribute the 2   2(3L-2.5)+2L=43

add up the Ls      6L-5+2L=43

add 5 to each side    8L-5=43

divide each side by    8L=48

Then you get L=6

Now use L=6 to plug into equation two to get W(width)

w=3(6)-2.5=18-2.5=15.5

Now plug in both W and L into equation 1 to make sure you get 43

P=2(15.5)+2(6)=32+12=43 this means that w and l are correct and you get the perimeter given. So length (L) is 6.

The graph of the inequality is attached below.

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

Consider, the given inequality

      K/2 - 20 ≥ -18

Add 20 on both sides,

K/2 - 20 + 20 ≥ -18 + 20

               K/2 ≥ 2

Multiply both sides by 2,

        K/2 x 2 ≥ 2 x 2

                  K ≥ 4

Now to graph the inequality.

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Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

Here is the two column proof:

    Statement                                        Reason                                              

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

    Statement                                        Reason                                              

Answer:

94.4

Step-by-step explanation:

Answer:

  24

Step-by-step explanation:

Given right triangle sides x, 2x-3, and 2x+3, you want to know the length of the side labeled x.

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

  (2x +3)² = (2x -3)² +x²

  4x² +12x +9 = 4x² -12x +9 +x²

  x² -24x = 0 . . . . . subtract 4x² +12x +9

  x(x -24) = 0   ⇒   x = 0 or 24

The length of the side labeled x is 24 units.

__

Additional comment

The triangle is an 8-15-17 triangle scaled up by a factor of 3.

The equation of the line that passes through the point (3,2) and has a slope of 4 is; y = 4x - 10

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Point (3,2)

Then Slope m = 4

Now Write the equation as;

y - 2 = 4(x - 3)

y = 4x - 10

Hence, The equation of the line is; y = 4x - 10

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The coordinates of point y after the transformation is (-6,5).

Firstly , we need to get the coordinates of the point y before the transformation

The coordinates are

(-6,-5)

By reflecting over the y-axis, we have the following change;

(x,y) becomes (-x,y)

So we have;

(6,-5)

Then we are to rotate at an angle of 180 degrees counterclockwise

The operation here will be;

(x,y) to (-x,-y)

So we have;

(6,-5) to (-6,5)

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Answer:

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

Apply the rules to point T.

Translation:

Dilation:

The matching choice is A.

Mr. Rooks would receive $2,040 in interest in 3 years.

The interest rate is given as 4%, which means that for every $100 Mr. Rooks has in the bank, he will receive $4 in interest per year.

To find the total interest Mr. Rooks will receive in 3 years, we need to multiply the annual interest rate by the number of years, and then multiply that result by the amount of money Mr. Rooks has in the bank.

In this case, the calculation would be as follows:

Annual interest rate × number of years × amount in the bank = total interest

(4 / 100) × 3 × $17,000 = $2,040

Therefore, Mr. Rooks would receive $2,040 in interest in 3 years.

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Answer:

12 hours

Step-by-step explanation:

4 / 2

2/2

1

4 = 2²

2² x 3 = 4 x 3 = 12

Step-by-step explanation:

(-1.5)x × -0.25x = 0.375x²

remember, -×- = +

Answer:

Originally $600.

Step-by-step explanation:

[tex]\frac{528}{88} =\frac{y}{100}[/tex]

88 · y = 528 · 100

88y = 52800

y = 600

Originally $600.

Answer:

47% or .47

Step-by-step explanation:

Answer: $56

Step-by-step explanation:

20% of 70=14

70-14=56

The compounded amount earned in Big Sky Bank is $40,365.00.

The compounded amount earned in Valley Bank is $13,248.24.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = 10% of 60,000

P = 6000

t = 10 years

Big sky Bank:

r = 20%

n = 2 (semiannually)

A = 6000 [tex](1 + 0.1)^{20}[/tex]

A = 6000 x [tex]1.01^{20}[/tex]

A = $40,365.00

Valley Bank:

r = 8%

n = 4 (quarterly)

A = 6000 [tex](1 + 0.02)^{40}[/tex]

A = 6000 x [tex]1.02^{40}[/tex]

A = $13,248.24

Thus,

Big Sky Bank compounded amount is $40,365.00.

Valley Bank compounded amount is $13,248.24.

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