Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction of a tile must he install at the end of the row to totally fill the space?

Answer:

k =1

Step-by-step explanation:

3x + y = -7

      y = -3x - 7

m = -3

Parallel lines have same slope

[tex]Slope = -3\\\\\dfrac{8-[-1]}{-2-k}=-3\\\\\\\dfrac{8+1}{-2-k}=-3\\\\\dfrac{9}{-2-k} = -3[/tex]

Cross multiply,

9 = -3(-2-k)

9 = 6 + 3k

9-6 = 3k

3 = 3k

3/3 = k

k = 1

Answer: Ok so I would say roughly 74 months

Step-by-step explanation:

(1/3)^4 = 1^4/ 3^4 = 1/81

Answer: 1/81

The expression 1/3 by the power of 4  when evaluated has a value of 1/81

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

1/3 by the power of 4

Express as an equation

So, we have

1/3 by the power of 4 = 1/3⁴

When expanded, we have

1/3 by the power of 4 = 1/3 * 1/3 * 1/3 * 1/3

Evaluate the products

This gives

1/3 by the power of 4 = 1/81

Hence, the solution is 1/81

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Answer:

Step by step solution:

Answer:

The answer is: (-3,3)

Answer: 9,19

Range: The difference between the largest and smallest data in a data set.

nineteen (19) - nine (9) = 10 (which is equivelent to the given range 10)

Median: The value in a set that is most close to the middle of a range.

nine (9) and nineteen (19) the median would be 14

also, I needed more wording so it doesn't get taken down :(

Answer:

18 girls and 15 boys.

Step-by-step explanation:

not sure on question 2. $21.33, $23.33, $25.33???

Answer:

x = 42

Step-by-step explanation:

The square at ∠C means it is a right angle (90°). The sum of the angles of a triangle is 180°. Use the information to solve for ∠B.

[tex]x+48+90=180\\x+138=180\\x=42[/tex]

Answer:

B = 41 degreed

Step-by-step explanation:

Square of C = 90degrees

A = 49degrees

90 + 49 = 139degrees

180degrees - 139degrees = 41 degrees

Explanation:

There are 4 shots that land on the green in this sample size. The height of the  bar tells us this directly.

Add up the heights of each bar to get 4+5+7+3+5 = 24 which is the total number of shots. The probability of landing on the green is 4/24 = 1/6 = 0.1667 = 16.67% approximately. This rounds to 17%

kabanayan ako to si nstog

Answer:

The answer is B) 432

Step-by-step explanation:

The 4 in 432 becomes a 3, because we can't subtract 6 from 3. The 3 becomes 13 and if we subtract 13 with 6... We get 7.

I got 0 with option B... With A I got 2 which is a remainder. With C I got 6.5 (repeating). And with D I got 7.77777777778.

Hence, B) 432 is the correct option.

Check screenshot of my work below.

(I forgot to include 48 on top of the division I just did. Don't mind that too much..)

A) 326

[tex] \frac{326}{9} [/tex]

[tex] = 36.2222222222 [/tex]

B) 432

[tex] \frac{432}{9} [/tex]

[tex] = 48[/tex]

C) 531

[tex] \frac{531}{9} [/tex]

[tex] = 59[/tex]

D) 630

[tex] \frac{630}{9} [/tex]

[tex] = 70[/tex]

so, the correct answer is option A.

The remaining zero of polynomial is (5 + i).

And, the linear factorization of the polynomial are;

(x - 2) (x - (5-i)) (x - (5 + i)).

What is Zeros of polynomial?

Zeroes of a polynomial are the points where the polynomial becomes zero.

Given that;

Zeroes of the polynomial are 2, 5 - i

Now, If one zero of polynomial is complex then another zero of the polynomial is its conjugate.

So, One root of polynomial = 5 - i

Then, The third zero of the polynomial = 5 + i

Thus, The polynomial are find as;

(x - 2) (x - (5-i)) (x - (5 + i)) = 0

So, The remaining zero of polynomial is (5 + i).

And, the linear factorization of the polynomial are;

(x - 2) (x - (5-i)) (x - (5 + i)).

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Answer:

Infinitely Many Solutions

Step-by-step explanation:

They are the same line so they cross each other infinitely many times.

If you picked a point on the first equation it would be the same point on the second equation.

Answer:

D) Infinitely many solutions

Step-by-step explanation:

Given the follwowing systems of linear equations, y = x + 2, and -3x + 3y = 6:

Transforming -3x + 3y = 6 into its slope-intercept form, y = mx + b:

-3x + 3y = 6

Add 3x to both sides:

-3x + 3x + 3y = 3x + 6

3y = 3x + 6

Divide both sides by 3:

[tex]\frac{3y}{3} = \frac{3x + 6}{3}[/tex]

y =  x + 2     ⇒ This is the slope-intercept form of -3x + 3y = 6.  Since they are equivalent equations, then it means that their graphed lines coincide. Since any point on either lines coincide (or also exists) on the other line, then it means that the solutions to one of the equations will satisfy the other. Therefore, the given systems of linear equations have an infinitely many solutions.  

what upAnswer:

Step-by-step explanation:

Answer:

0.09375

Step-by-step explanation:

Step-by-step explanation:

Use the equation

[tex] \frac{x - x1}{y - y1} = m[/tex]

So plug in the numbers

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

So if y=mx+b and there is no intercept the equation would be

[tex]y = - 4x[/tex]

if any doubt leave a comment

Answer:

Step-by-step explanation:

7/8 divided by 1/4

7/8 x 4/1 =7/2 = 3/1/2

Three and a half bags

Answer:

m=2

Step-by-step explanation:

you subtract the y-values (4-2) and put it as the numerator of a fraction than subtract the x-values (3-2) and put them as the denominator of the fraction. For this equation it would be

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

Answer:

Step-by-step explanation:

( 8x - 23 )° = ( 6x + 11 )°

2x = 34

x = 17

m ∠ J = ( 8(17) - 23 )° = 113°

m ∠ M = 180° - 113° = 67°

Answer:

2000

Step-by-step explanation:

Answer:

1200.5

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

I= 7000(.0245)(7)

I=1200.5

Answer:

1,200.5

Step-by-step explanation:

Simple interest is

I = Prt,

where I is the interest earn after t years, P is the initial money , r is the rate

I = 7000*.0245*7 = 1,200.5

1,200.5 is the interest after 7 years

Answer:

Step-by-step explanation:

Let the numbers are:

Since the sequence is arithmetic, the difference of two consecutive terms is same:

Therefore:

The sum of the first two equations:

Substitute (6 + 3d) with 2 (the third equation) to get:

Answer:

47.5 Meters

Step-by-step explanation:

Find where the derivative changes from positive to negative (local maximum)

h(t)=[tex]-6t^2+30t+10[/tex]

h'(t)=[tex]-12t+30[/tex]

Find where the derivative equals zero

Theres no spot where the derivative wont exist because its a polynomial.

-12t=-30

t=[tex]\frac{5}{2}[/tex]

Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.

Now plug into original equation

h(2.5)=[tex]-6(2.5)^2+30(2.5)+10[/tex]

=-37.5+75+10

=47.5

Answer:

I can't read that...........

Answer:

Answer:

60 bags can be filled. ( 150 pounds / 2.5 pounds per bag = 60 bags)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

150 pounds divid to 2.5pound