Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below. A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? 6.75 4.50 2.25 9.00

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{7}h= 3}[/tex]

[tex]\large\text{MULTIPLY 7 to BOTH SIDES}[/tex]

[tex]\mathsf{7\times\dfrac{1}{7}h = 7\times3}[/tex]

[tex]\rm{CANCEL: 7\times\dfrac{1}{7}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: 7\times3\ because\ that\ gives\ you\ the\ h-value}[/tex]

[tex]\larg\text{TEMPORARY new EQUATION: }\mathsf{7\times3=\bf h}[/tex]

[tex]\mathsf{7\times3=h}[/tex]

[tex]\mathsf{7\times3=\bf 21}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf h = 21}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

r=85

Step-by-step explanation:

r-76=9

add 76 to both sides

r=85

hope this is helpful

Answer: 85

Step-by-step explanation:

Since we're finding the placeholder of r and we're already subtracting, we need to add! What we need to do is add 76 + 9 which equals 85!

Hope this helps you! Good luck with your future work!

Answer:

300

Step-by-step explanation:

The volume of the gas varies inversely as the pressure

V= k/p

K= VP

= 1200×200

= 240,000

Therefore the volume when the pressure is 800

K= VP

240000= V×800

V= 240000/800

= 300

Hence the volume is 300 cubic centimeters

Answer:

14

Step-by-step explanation:

16 students prefer maths and 2 students prefer science so

16-2=14

Answer:

What expressions?

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 3x -6

x = -2, y = -12

x = -1, y = -9

x = 0, y = -6

x = 1, y = -3

x = 2, y = 0

x= 3, y = 3

x    -2       -1        0        1          2         3

y    -12     -9       -6       -3         0         3

Answer:

a = 500,000(1.15)^t

1,160,000

Step-by-step explanation:

a = 500,000(1.15)^t

in 2016

a = 500,000(1.15)^6

a = 1,156,530

Rounded

1,160,000

The number of members present in 2016 is 1,156,530. It can be rounded to 1,160,000.

What is an exponential function?

The function is expressed in the form like f(x) = a^x  are called exponential function. Where x is a variable and a is a constant.

The number of members in the website in 2010 is 500,000.

Each year y members increased by 15%.

The exponential relation of members and year is

y = 500,000(1.15)^t

Then in 2016 the number of members present are given by,

y = 500,000(1.15)^6 = 1,156,530.

Hence, 1,156,530 members present in 2016. It can rounded to 1,160,000.

To learn more about exponential function, use the link given below:

https://brainly.com/question/29162975

#SPJ2

Answer:

35

Step-by-step explanation:

180-110=70

70/2=35

x=35

You take 180-110=70 and divide it by two because you have to know each angle measure. That causes you to get 35. Therefore, X=35

Hope this helps:)

Answer:

I'm pretty sure it is D since all the other ones are maximum value parabolas (and the questions asks for a minimum) other than D.

Answer:

18 = 18

Step-by-step explanation:

f(3) =

2(3)^2 = 5(3) + 3

2 × 9 = 15 + 3

18 = 18

Answer:

The first one is a square! The second is none of these because its a trapezoid

Step-by-step explanation:

Answer:

7. all of the above

9. none of these

Step-by-step explanation:

graph number 7

you will see from the diagonal test that the diagonals of this shape are congruent. All four angles in the interior are congruent making it a rhombus. The outside side lengths are all equal to 6.71. Making it a rectangle. The definition of a square is if it is both a rectangle and a rhombus then it is a square.

graph number 9

you can plainly see that this is a trapazoid which is none of either of these choices.

hope this helps.

9514 1404 393

Answer:

  y = -1.5x +3

Step-by-step explanation:

The two points marked on the line are ...

  (-4, 9) and (6, -6)

The slope formula can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (-6 -9)/(6 -(-4)) = -15/10 = -1.5

The intercept formula can be used to find the y-intercept:

  b = y -mx

  b = 9 -(-1.5)(-4) = 9 -6 = 3

The slope-intercept form of the equation for a line is ...

  y = mx + b . . . . . . . line with slope m and y-intercept b

  y = -1.5x +3

_____

Additional comment

We can see that the line crosses the y-axis at y=3, so this is the value of b. We only need to read it from the graph. We don't really need the formula shown above.

The line also crosses the x-axis at x=2. This means the line decreases 3 units (from y=3 to y=0) as x increases by 2 units (from x=0 to x=2). Then the slope is ...

  m = rise/run = (-3)/(2) = -3/2 = -1.5 . . . . as calculated above

That is, we can find the parameters of interest by simply counting grid squares on the graph.

Answer:

400 miles per hour

Step-by-step explanation:

8000 miles         ÷  20   =        400   Miles

20 hours            ÷  20     =         1     hour

Answer:

7

Step-by-step explanation:

you just divide 8/56= 7

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

Step 1:

Start by setting it up with the divisor 56 on the left side and the dividend 8 on the right side like this:

 56⟌8    

Step 2:

The divisor (56) goes into the first digit of the dividend (8), 0 time(s). Therefore, put 0 on top:

   0    

 56⟌8    

Step 3:

Multiply the divisor by the result in the previous step (56 x 0 = 0) and write that answer below the dividend.

      0    

 56⟌8    

   0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (8 - 0 = 8) and write the answer below.

   0    

 56⟌8    

    -0  

     8    

the answer to 8 divided by 56 calculated using Long Division is: 7

f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16

By question , f is inversely proportional to square root of g. In mathematical form ,

[tex]\implies f \propto \dfrac{1}{\sqrt g}[/tex]

Let k be constant . So that ,

[tex]\implies f =k \dfrac{1}{\sqrt g}[/tex]

When f = 8 , g is 25. So that ,

[tex]\implies 8= k\dfrac{1}{\sqrt {85}}[/tex]

[tex]\implies k = 8\sqrt{25} [/tex]

Hence the value of constant is 8√25.

So that when g is 16 ,

[tex]\implies f = 8\sqrt{25} \times 1/ \sqrt{16}\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 } [/tex]

Hence the Value of f is 10 .

Answer:

true for all x

Step-by-step explanation:

|2x-8|+4>-3

Subtract 4 from each side

|2x-8|+4-4>-3-4

|2x-8|>-7

An absolute value is always positive so this is true for all x

Answer:

3/5 c

Step-by-step explanation:

_________________

Answer:

Step-by-step explanation:

The common ratio of the terms is 0.6 (180/300=6/10;108/180=6/10). This is a geometric sequence .

nth term=500(0.6)^n-1

Answer:

n = 7

Step-by-step explanation:

Let the number be n.  Then 4n + 12 = 40.

Solving this for n:  4n = 28, so that n must be 7.

n = 7

Answer: 28

Step-by-step explanation:   4x7=28.     28+12=40

Answer:

do you still need help

Step-by-step explanation:

???

Answer:

x = 34

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)

x = 1/2(100-32)

x = 1/2 (68)

x =34

Answer:

02

Step-by-step explanation:

Answer:

Input Value = 02

Step-by-step explanation:

2 multiplied by 4 is 8.

You could also divide 8 by 4 to get 2 to check your work.

The data Given is incomplete, question with exactly similar data could not be found. However, similar questions with different data are numerous. Using one of this questions to take you through the solution to your question :

.

Question :

Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42

a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0

ii) H_0: rho = 0, H_1: rho notequalto 0

iii) H_0: rho notequalto 0, H_1: rho = 0

iv) H_0: rho = 0, H_1: rho > 0

b. Construct a scatterplot. Choose the correct graph below.

c. The linear correlation coefficient r is.

d. The test statistic t is.

e. The P-value is.

Answer:

Pvalue > α ; Hence, we fail to reject the null.

Step-by-step explanation:

When testing for correlation :

Correlation Coefficient r is always between - 1 and 1. The alternative is always the opposite of the null. To claim that correlation exists, the r will not be equal to 0, because 0 means no correlation.

1.)

H_0: rho = 0,

H_1: rho notequalto 0

2.)

Given the data :

Budget(x) : 61 92 48 36 135 58 93

Gross(y) : 69 62 53 58 627 144 42

Scatter plot is attached below

3.) The linear correlation Coefficient as obtained using technology is 0.751 ; which depicts a strong positive correlation

4.)

Test statistic :

T = r / √(1 - r²) / (n - 2)

r² = 0.751² = 0.564

T = 0. 751 / √(1 - 0.564) / (7 - 2)

T = 0.751 / 0.2952964

T = 2.543

E.)

Using the Value from Tscore calculator :

Pvalue(2.543, 5) ; two tailed

Pvalue = 0.0517

At α = 0.05;

Pvalue > α ; Hence, we fail to reject the null. there is no sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts.

Answer:

180

Step-by-step explanation:

150/100*20=30 +150=180