Kiyo and Steven are tiling the floors in an
office building. Kiyo tiled of the floor in
one office, and Steven tiled of the floor
in another office.
Write to explain how to use a benchmark
fraction to determine who tiled a greater
portion of a floor.

Answer:

Step-by-step explanation: 70

35 + 45 = 70

Just add the Average of 6 people to 35

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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Step-by-step explanation:

He missed one 2-point question and got everything else correct.

5 × 2 = 10

4 × 2 = 8

10 + 8 = 18

Hope this helps!

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

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

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:

22

Step-by-step explanation:

Answer:

C. I and II only

Step-by-step explanation:

Measures of center are mean median and mode. IQR is a range and therefore would not bring you to one number near the "center" of the data.

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:

C) 2x+3y=18

Step-by-step explanation:

y=-2/3x+6

y-(-2/3x)=6

y+2/3x=6

2/3x+y=6

3(2/3x+y)=3(6)

6/3x+3y=18

2x+3y=18

Answer:

Anya spend the most money

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

Answer:

x=6*sqrt(5)

Step-by-step explanation:

We use Pythagoras' theorem:

x^2 =6^2+(24/2)^2

x^2 =6^2+12^2

x^2 =36+144

x^2=180

x=sqrt(180)

x=sqrt(9*4*5)

x=3*2*sqrt(5)

x=6*sqrt(5)

Answer:

the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by

[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]

Step-by-step explanation:

the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by

[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]

Answer:

g(x) = 3/8(4)^–x

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]

The given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.

The x-intercept represents the point at which a line crosses the x-axis. To find the x-intercept, we need to determine the value of x when y is equal to zero. In this case, the given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.

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Answer:

0

Step-by-step explanation:

I would say this because n is most likely equal to 0 so 6 times 0 is 0

If 5n = 0, then 6n = 0.

If 5n = 0, then substituting 0 for 5n gives 6n = 6(0) = 0. Therefore, 6n is equal to 0.

The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.

To find the number which, when multiplied by 8, gives a value close to 289, we can set up the equation:

8x ≈ 289

To solve for x, we divide 289 by 8:

Performing the division:

So, 8 times approximately 36.125 equals close to 289. Therefore, the nearest whole number would be 36, since 8 * 36 = 288, which is close to 289.

The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.

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:

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

Answer:

5y = -1x

Step-by-step explanation:

Those 2 expressions are equivalent, so they don't tell us anything. This means that the answer in simplest is the starting expression - 5y = -1x

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

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}[/tex]

Solution:

Given expression is:

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]

We have to combine the like terms

From given expression,

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

[tex]\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}[/tex]

Add 1/7 and 6/7

[tex]\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}[/tex]

Thus the equivalent expression is found

Answer:

1 hour and 45 mins or 1 hour, 40 mins, and 5 seconds

Step-by-step explanation:

The time 1:49 can be written as 1:49 AM or 1:49 PM in the 12-hour clock, and as 01:49 in the 24-hour clock.

To write the time 1:49 in two ways, we can use both the 12-hour clock and the 24-hour clock.

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Answer:

x=2

Step-by-step explanation:

17-3-6=8

8/4=2

Answer: (-4,-3)

Step-by-step explanation:

In USA test prep

Answer:

0.1302 or 13.02%

Step-by-step explanation:

So we know that 31% of the Dalmatians are blue eyed so that is 0.31. We also know that 42% of blue eyed Dalmatians are deaf so that is 0.42.

To find the probability of a blue eyed deaf Dalmatian we need 42% of 31%, so we need to do:

0.42 × 0.31 = 0.1302 or 13.02%

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.