A family room has a circular rug with a radius of 7 m .
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​The rug's area is?

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​

Answer:

the possible values of x as an inequality → 4 < x < 20

Step-by-step explanation:

The triangular inequality tells us that :

12-8 < x < 12+8 ⇔ 4 < x < 20

Answer:

x = 24

Step-by-step explanation:

8x + 4(4x - 3) = 4(6x + 4) - 4

8x + 16x - 12 = 24x + 16 - 4

24x - 12 = 24x + 12

24x = 24x + 12 + 12

24x = 24x + 24

24x/24x = 24

x = 24

Answer:

90°.

Step-by-step explanation:

When two straight lines intersects obliquely then there will be two angle of intersection, one angle is acute and the other one is obtuse.

But, here the two straight lines AB and xy intersects perpendicularly and AB bisects xy.

Therefore, the two angle of intersection are 90° each.

Hence, the angle of intersection in our case will be equal to 90°. (Answer)

Answer:90 degrees

Step-by-step explanation:

Answer:

110 is 125% of 88

Step-by-step explanation:

125% is the same as 125/100

Set this 125/100 equal to x/88

125/100 = x/88

Cross-Multiply (Numerator * Denominator = Numerator * Denominator)

125(88) = 100(x)

11,000 = 100x

Divide both sides of the equation by 100

110 = x

110 is 125% of 88

Hope this helps :)

Answer: x = 110

Step-by-step explanation: Well percent means over 100 so we can set up an equation for this problem by reading it from left to right.

What means x, is means equals, 125% is 125/100, of means times, 250.

So we have the equation [tex]x = \frac{125}{100} (88)[/tex].

Simplifying on the right side of the equation, notice that 125/100 reduces to 5/4 so we have x = 5/4 · 88.

Think of the 88 as 88/1.

So we can cross cancel the 88 and 4 to 22 and 1.

So we have x = 5 · 22 over 1 · 1 or x = 110.

Answer:

Yes , the products of both expressions are the same

Step-by-step explanation:

Given

(-5 + x)( x + 4)

Using the distributive property we have

-5xx -5x4 + xxx +xx4

Negative times positive becomes negative

-5x - 20 + x^2 + 4x

Also (5 + x)(x - 4)

Using the distributive property

5xx +5-4 + xxx +xx-4

5x^2 -20 + x^2 - 4x

The product of -5 + x and x + 4 is equal to the product of 5 + x and x - 4

Answer:

5-x and 4-x would be your answer

Step-by-step explanation:

The tax rate is 6 %

Solution:

Given that, A man purchased a magazine at the airport for $ 2.89

The tax on the purchase was $ 0.18

To find: tax rate in percentage

From given,

Magazine price = 2.89

Tax amount = 0.18

Therefore, tax percent is given as:

Let "x" be the tax percent

x % of magazine price = tax amount

x % of 2.89 = 0.18

Solve the equation for "x"

[tex]x \% \times 2.89 = 0.18\\\\\frac{x}{100} \times 2.89 = 0.18\\\\2.89x = 0.18 \times 100\\\\2.89x = 18\\\\Divide\ both\ sides\ by\ 2.89\\\\x = 6.22 \approx 6[/tex]

Thus tax rate is 6 %

Answer:

Luis would have read 696 books if he reaches his reading goal for the next year.

Step-by-step explanation:

we know that

If Luis reaches his goal, to find out how many books Luis will have read, add up the number of books he read last year plus the number of books he read this year plus the number of books he wants to read next year

so

[tex]187+224+285=696\ books[/tex]

Final answer:

When Luis reaches his goal next year, he will have read a total of 696 books.

Explanation:

Luis's book reading progression:

To find out how many books Luis will have read if he meets his goal next year, add the total number of books read over the years:

187 (last year) + 224 (this year) + 285 (next year) = 696 books

Answer:

38/x

Step-by-step explanation:

quotient is / (division)

just fill in the slots

__ / __

38 / __

38 / x

The algebraic expression for the phrase 'the quotient of 38 and x' is

38 ÷ x.

The word phrase "the quotient of 38 and x" can be translated into an algebraic expression as follows:

"The quotient" refers to division, so we will use the division symbol (÷).

"38" represents the numerator of the quotient, the number that is being divided.

"x" represents the denominator of the quotient, the number by which we are dividing.

Therefore, the algebraic expression for "the quotient of 38 and x" is:

38 ÷ x

In this expression, 38 is divided by x, and the result of this division is the value of the expression.

Depending on the value of x, the result will change accordingly.

If x were equal to 2, for example, then the expression would evaluate to 38 ÷ 2 = 19. If x were equal to 5, the expression would evaluate to 38 ÷ 5 = 7.6, and so on.

Learn more about Algebraic expression here:

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Answer:

Therefore,

The steering wheel’s diameter is 14 inches.

Step-by-step explanation:

Given:

Circumference of Steering Wheel ,

C = 43.96 inches

pi = 3.14

To Find:

Diameter = d = ?

Solution:

The Formula for Circumference is given as,

[tex]Circumference = \pi\times Diameter[/tex]

Substituting the values we get

[tex]C=\pi\times d\\43.96=3.14\times d\\d=\dfrac{43.96}{3.14}=14\ inches[/tex]

Therefore,

The steering wheel’s diameter is 14 inches.

When you have the circumference of a circle and need to find the diameter, you can use the formula Diameter = Circumference / π. Using this formula, Joey's steering wheel, with a circumference of 43.96 inches, would have a diameter of approximately 14 inches.

To find the diameter of a circle when you know the circumference, use the formula Circumference = π * Diameter. Circumference is the given 43.96 inches.

So, you can rearrange the formula to find the diameter: Diameter = Circumference / π.

Substituting the given values, we have Diameter = 43.96 inches / 3.14. This gives approximately 14 inches as the diameter of the steering wheel in Joey's car.

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Answer:

1:  110 degrees / Opposite angles theorem

2:  70 degrees / Supplementary angles -> 110 + ___ = 180 -> ___ = 70

3:  38 degrees / Supplementary angles -> 142 + ___ = 180 ->  ___ = 38

4:  142 degrees / Opposite angles theorem

5:  38 degrees / Supplementary angles -> 142 + ___ = 180 ->  ___ = 38

6:  142 degrees

7:  142 degrees / Opposite angles theorem

8:  38 degrees / Supplementary angles -> 142 + ___ = 180 ->  ___ = 38

9:  I cant see

10:  137 degrees / Opposite angles theorem

11:  43 degrees / Supplementary angles -> 137 + ___ = 180 ->  ___ = 43

12:  I cant see

13:  43 degrees / Supplementary angles -> 137 + ___ = 180 ->  ___ = 43

14:  137 degrees

Answer:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

Step-by-step explanation:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

Answer:

Correct answer below

Step-by-step explanation:

K12 quiz :)

Answer:

i) $500 at 5% simple interest for two years. Interest = 550 - 500 = $50

ii) $500 at 3% compounded monthly for 2 years.

    Interest = 530.88 - 500 = $30.88

Step-by-step explanation:

i) $500 at 5% simple interest for two years.

   Initial amount, P = $ 500

   Rate of interest, r = 0.05

   Time in years, t = 2

  Therefore Final amount A = P(1 + rt) = 500(1 + (0.05 [tex]\times[/tex] 2) ) = $550

   Therefore Interest = 550 - 500 = $50

ii) $500 at 3% compounded monthly for 2 years

    Initial or Principal Amount, P  = $500

    Rate of interest, r =0.03

    number of conversions, m = 12

     Time in years, t = 3

  Therefore final amount,  [tex]A = P(1 + \frac{r}{m}) ^{mt} = 500( 1 + \frac{0.03}{12} )^{(12\times2)} = 500( 1 + \frac{0.03}{12} )^{24}[/tex] = $530.88

Therefore Interest = 530.88 - 500 = $30.88

The length of each piece is 0.1 yard.

Step-by-step explanation:

The length of the pipe is [tex]\frac{1}{2}[/tex] yard.

The pipe is cut into 5 equal pieces.

We have to find the length of the each piece.

The length of the each piece is calculated by dividing the pipe's initial length(L) by the the number of pieces(N).

Length of the each piece = [tex]\frac{L}{N}[/tex].

=[tex]\frac{\frac{1}{2}}{5}[/tex]. ( 5 is also written as [tex]\frac{5}{1}[/tex] ⇒ [tex]\frac{\frac{1}{2} }{\frac{5}{1} }[/tex].)

=[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{5}[/tex].

= [tex]\frac{1}{10}[/tex].

= 0.1 yard.

Length of the each piece = 0.1 yard.

Answer:

Step-by-step explanation:

Answer:

C) 9 × (20 + 5) = 225

Step-by-step explanation:

The answer is c

9 x (20 + 5 )

9x20 + 9x5

180 + 45 = 225

Answer:

  see below

Step-by-step explanation:

The graph of the first inequality is the half-plane above and including the x-axs.

The graph of the second inequality will be the half-plane below the dashed line y = x.

The graph of the third inequality will be the half-plane below the dashed line y = 6 -x.

So, the solution space will be a triangle above the x-axis and below the two (dashed) lines that cross at (x, y) = (3, 3).

Answer:

I think, from what sqdancefan explained, the graph is this one..

The expression that is equivalent to -6 (-[tex]\frac{2}{3}[/tex] + 2x) is option C - 4 - 12x.

To simplify the expression -6 (-[tex]\frac{2}{3}[/tex] + 2x) distribute the -6 to each term inside the parentheses:

-6 (-[tex]\frac{2}{3}[/tex] + 2x) = (-6 × -[tex]\frac{2}{3}[/tex]) + (-6 × 2x)

Now multiply the terms inside each bracket and simplify:

(-6 × -[tex]\frac{2}{3}[/tex]) + (-6 × 2x) = (-6 × -[tex]\frac{2}{3}[/tex]) - 12x

                             = 4 - 12x

The question is:

Which expression is equivalent to -6 (-[tex]\frac{2}{3}[/tex] + 2x)?

A. -4 - 12x

B. -4 + 2x

C. 4 - 12x

D. 4 + 12x

Answer:

x = 23/14

Step-by-step explanation:

Step 1:  Distribute

9 + 6(10 - 7x)

9 + 6(10) + 6(-7x)

9 + 60 - 42x

69 - 42x

Step 2:  Solve for x

Subtract 69 from both sides:  69 - 42x - 69 = 0 - 69

Divide both sides by -42:  -42x / -42= -69 / -42

Simplify:  x = 23/14

The money with Geno originally is not more than $ 475

Solution:

Given that,

Geno withdrew $50 from his savings account

If he now has no more than $425 in his savings account

To find: Money had by geno originally

Let "x" be the money with Geno originally

From given,

He withdrew $ 50 from "x"

Then we can say,

[tex]x - 50\leq 425[/tex]

Here, we used "less than or equal " because he now has no more than $425 in his savings account

Solve the inequality

Add 50 to both sides

[tex]x - 50 + 50 \leq 425 + 50\\\\x\leq 425 + 50\\\\x\leq 475[/tex]

Thus the money with Geno originally is not more than $ 475

Answer:

Therefore out of Mr. Pringles 110 students we can expect the number that would prefer pepperoni pizza topping would be 66 students.

Step-by-step explanation:

If 3 out of every 5 students in Mr.Pringles math class prefers pepperoni pizza topping then the probability of a randomly selected student in Mr. Pringles prefers pepperoni pizza is [tex]\frac{3}{5} = 0.6[/tex].

Therefore out of Mr. Pringles 110 students we can expect the number that would prefer pepperoni pizza topping would be = 0.6 [tex]\times[/tex] 110 = 66 students.

Yo sup??

since the two angles are vertically opposite angles therefore they must be equal

7x-17=4x+40

3x=57

x=19

Angle2=4x+40

=116

Hope this helps.

Answer:

[tex]x=4\sqrt{2}\ cm[/tex]

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides

Let

x ----> the length of the leg

Applying the Pythagorean Theorem

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

where

c is the hypotenuse (the greater side)

a and b are the legs of the right triangle

In this problem we have

[tex]c=8\ cm[/tex]

[tex]a=b=x\ cm[/tex]

substitute

[tex]8^2=x^2+x^2\\\\64=2x^2\\\\x^2=32\\\\x=\sqrt{32}\ cm[/tex]

simplify

[tex]x=4\sqrt{2}\ cm[/tex]

Answer:

x=2

Step-by-step explanation:

17-3-6=8

8/4=2

Answer:

x = -1.142857

Step-by-step explanation:

Start by distributing the 3/2 in the parentheses.

3 = 10.5x + 15

Next, get the variables on one side.  There are a few way to do this, the easiest being to subtract 15 from both sides.

-12 = 10.5x

Now you need to get the variable alone.  Do this by dividing both sides by 10.5.

-1.142857 = x

Hope this helps you out.

Answer:

The lowest height at which the two stacks will be the same height is 24 inches.

Step-by-step explanation:

For answering this problem, we have to find out the lowest common multiple of 6 and 8, listing its prime factors, this way:

6 = 3 * 2

8 = 2 * 2 * 2

Now, we multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Therefore, we have:

2 : 3 times as prime factor of 8

3: 1 time as prime factor of 6

The lowest common multiple is:

2 * 2 * 2 * 3 = 24

The lowest height at which the two stacks will be the same height is 24 inches.

The lowest height at which these stacks will be the same is 24 inches.

To find the lowest height at which an 8-inch box stack and a 6-inch box stack will be the same, we need to determine the least common multiple (LCM) of their heights. The method involves finding the smallest common multiple between the two heights.

    2.Identify the smallest common multiple:

Therefore, the lowest height at which the two stacks of boxes will be the same is 24 inches.

Answer:

Step-by-step explanation: 70

35 + 45 = 70

Just add the Average of 6 people to 35

combine you like terms

4p and -p = 3p

3p+2=0

subtracts 2 from itself and 0

3p=-2

divide 3p from itself and -2

p=-2/3

Final answer: [tex]4p^2[/tex]- p = 0, factor out the greatest common factor (p) and solve for p by setting each factor equal to zero. The solutions are p = 0 and p = 1/4.

Explanation:

To solve the quadratic equation [tex]4p^2[/tex] - p = 0, we can use the factoring method or the quadratic formula. In this case, factoring is convenient:

Therefore, the solutions to the equation are p = 0 and p = 1/4.

Answer:

= 11x-10

Step-by-step explanation:

here are the steps

Answer:

-6+11x

Step-by-step explanation:

distribute -2 to the parenthsis:

-2*4=-8, -2*-3x=6x

next simplify (5x-2) to 5x+2

-8+6x+5x+2

then combine x terms and non-x terms to get -6+11x

The ordered pair (a, b) satisfies the inequality y > x + 10 if the point lies above the line y = x + 10.

To determine which statement is true for the inequality y > x + 10, we need to understand the graph of this inequality. The graph of y > x + 10 represents all the points above the line y = x + 10. Since the inequality does not have an equals sign, the line itself is not included in the solution.

In this case, the line y = x + 10 has a slope of 1 and a y-intercept of 10. By comparing the equation of the line to the inequality, we can see that the line separates the coordinate plane into two regions: the region above the line and the region below the line.

The ordered pair (a, b) will satisfy the inequality y > x + 10 if the point lies above the line y = x + 10. Therefore, the correct statement is that The ordered pair (a, b) lies above the line y = x + 10.

The true statement based on the inequality  b > a + 3  is:

C.  b  is greater than  a .

Given that the ordered pair a, b satisfies the inequality y > x + 3, we can substitute a for x and b for y. This means that:

[ b > a + 3 ]

We need to determine which statement is true based on this inequality. Let's evaluate each option:

A. If you add 3 to  b , it will equal  a

This implies:

[ b + 3 = a ]

From  b > a + 3 , it is clear that  b  is greater than  a + 3 , so adding 3 to  b  will not equal  a . Thus, this statement is false.

B.  a  is greater than  b

This implies:

[ a > b ]

From  b > a + 3 , it is clear that  b  is greater than  a  plus an additional 3, so  a  is not greater than  b . Thus, this statement is false.

C.  b  is greater than  a

This implies:

[ b > a ]

From  b > a + 3 , it is clear that  b  is indeed greater than  a  by more than 3. Thus, this statement is true.

D. If you subtract 3 from  b , it will equal  a

This implies:

[ b - 3 = a ]

From  b > a + 3 , subtracting 3 from  b  will still be greater than  a , so this equation will not hold. Thus, this statement is false.

Conclusion:

The true statement based on the inequality  b > a + 3  is:

C.  b  is greater than  a .

Complete question

The ordered pair (a,b) satisfies the inequality y>x+3. Which statement is true?

A.if you add 3 to b , it will equal a

B. a is greater than b

C. b is greater than a

D. If you subtract 3 from b, it will equal a