Raymond is building a new dog run with a raised border in his backyard. The boards on the two shorter sides are 6 feet thick, and the boards on the two longer sides are 4 feet thick. Raymond wants the outer length of the dog run to be 4 times its height and the outer width to be 2 times its height. He also wants the boards to rise 4 feet above the level of the grass in the dog run. Use x as the variable throughout the entire problem. Write a simplified expression in standard form that represents the volume of the grass in the dog run.

Answer:

7x-5

Step-by-step explanation:

Answer:

NO. Emma is not correct.

Step-by-step explanation:

✔️Initial value for Function A:

The initial value is the y-intercept of the graph. The y-intercept is the point at which the line intercepts the y-axis. From the graph given, the line intercepts the y-axis, at y = 2, when x = 0.

Initial value for Function A is therefore = 2

✔️Initial Value of Function B:

To find the initial value/y-intercept for Function B, do the following:

Using two pairs of values form the table, (2, 2) and (4, 3), find the slope:

Slope (m) = ∆y/∆x = (3 - 2) / (4 - 2) = 1/2

Slope (m) = ½

Next, substitute (x, y) = (2, 2) and m = ½ into y = mx + b, to find the intial value/y-intercept (b).

Thus:

2 = ½(2) + b

2 = 1 + b

2 - 1 = b

1 = b

b = 1

The initial value for Function B = 1

✅The initial value for Function A (2) is not the same as the initial value for Function B (1). Therefore, Emma is NOT CORRECT.

Given:

Remaining milkshake = 45 ml

She used 1 part strawberry cream to 4 parts milk.

To find:

The remaining amount of milk.

Solution:

It is given that, she used 1 part strawberry cream to 4 parts milk. It means the ratio of strawberry cream and milkshake is 1:4.

Let the remaining amount strawberry cream be x and the remaining amount of milk is 4x. Then,

[tex]x+4x=45[/tex]

[tex]5x=45[/tex]

[tex]x=\dfrac{45}{5}[/tex]

[tex]x=9[/tex]

Now, the remaining amount of milk is:

[tex]4x=4(9)[/tex]

[tex]4x=36[/tex]

Therefore, the remaining amount of milk is 36 ml.

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

Answer:

To Find the slope of a data table, you first need to plot two points on the line. It is easiest if the points are on a coordinate with whole numbers (i.e. (3,6 and (4,8)). Once you have plotted two pints, you then need to take the value of the point with the largest x value, and subtract the other points from it (i.e. (4,8)-(3,6)=(1,2). Then, take the new y value, and divide it by the new y-value (i.e. (2/1), and you have your slope.

Step-by-step explanation:

plot points (3,6), (4,8)

subtract points (4,8)-(3,6)=(1,2)

divide new points 2/1

m=2/1, or 2

Answer: it is the first one

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

hope this helps you!!!!

Answer:

C, D and E are the correct statement

Answer:

(4) * (63)

252

(*￣3￣)╭

Answer:

540 lei

Step-by-step explanation:

Pasul 1

Suma cheltuită pe cămașă se calculează astfel:

1200 lei × 15%

= 1200 lei × 15/100

= 180

Pasul 2

Suma cheltuită pentru o pereche de pantofi se calculează astfel:

1200 lei × 40%

= 1200 lei × 40/100

= 480 lei

Pasul 3

Suma rămasă este calculată ca:

Suma totală - (Suma cheltuită pe cămașă + Suma cheltuită pe încălțăminte)

1200 lei - (180 + 480) lei

1200 lei - 660 lei

= 540 lei

Answer:

$ 20,043.46

Step-by-step explanation:

Answer:

A = $ 20,043.46

A = P + I where

P (principal) = $ 8,300.00

I (interest) = $ 11,743.46

Calculation Steps:

First, convert R percent to r a decimal

r = R/100

r = 6.5%/100

r = 0.065 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 8,300.00(1 + 0.065/1)(1)(14)

A = $ 20,043.46

Summary:

The total amount accrued, principal plus interest,

from compound interest on an original principal of

$ 8,300.00 at a rate of 6.5% per year

compounded 1 times per year

over 14 years is $ 20,043.46.

Answer:

i think answer number 3

Step-by-step explanation:

hope i helped :)

Answer:

Always

Step-by-step explanation:

Anything to the power 0 is 1

Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81

Answer: less

Step-by-step explanation: 7^2 is 49 and 3^4 is 81....

Answer: In explanation

Step-by-step explanation: 350-170=4x

Solve                                     180=4x

                                              45=x    45 minutes longer

4x+170=350 because you would want to subtract 170 from each side not add 170 to each side when simplifying

4x+170 because that is how much gas the tank can hold.  You need to have 4x in the equation and 350 and 4x wouldn't make sense so use 4x and 170.

45 minutes as stated above.

Answer:

42.5 maybe

Step-by-step explanation:

Step-by-step explanation:

(4,20) means that the snail took four hours to cover a distance of 20 feet.

Answer:

-3 points per minute

Step-by-step explanation:

if you got -15 points in 5 minutes, divide  both by 5 to get -3 points per minute

Answer:

f

Step-by-step explanation:

Answer:

I cant see it....

Step-by-step explanation:

Answer:

area

Step-by-step explanation:

Answer:

area area area area rea (minimum character limit)

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

Answer:

[tex] m\widehat {WV} = 50\degree[/tex]

Step-by-step explanation:

Let O be the center of the circle.

[tex] m\angle VOU =m\angle TOU... (given) [/tex]

[tex] \therefore m\angle VOU =(5x + 10)\degree[/tex]

[tex] [\because m\angle TOU = (5x +10)\degree] [/tex]

[tex] m\widehat {TUV} = (5x +10)\degree + (5x +10)\degree [/tex]

[tex] m\widehat {TUV} = (10x +20)\degree [/tex]

[tex] m\widehat {SW} =m\widehat {TUV} [/tex]

[tex] (12x-2)\degree = (10x +20)\degree [/tex]

[tex] 12x-2 = 10x +20 [/tex]

[tex] 12x-10x = 2 +20 [/tex]

[tex] 2x = 22 [/tex]

[tex] x = \frac{22}{2}[/tex]

[tex] x = 11[/tex]

[tex] m\widehat {WV} = 180\degree - m\widehat {TUV}[/tex]

[tex] m\widehat {WV} = 180\degree - (10x +20)\degree[/tex]

[tex] m\widehat {WV} = 180\degree - (10\times 11+20)\degree[/tex]

[tex] m\widehat {WV} = 180\degree - 130\degree[/tex]

[tex] m\widehat {WV} = 50\degree[/tex]

Answer:

6/3=2/1

Step-by-step explanation:

6/3 is the same as 2/1 because if we divide the common denominator, 3, on both sides, your answer will be 2/1.

Answer:

The answer is $12.60

Answer:

Step-by-step explanation:

First find the measure of angle Q

a) Use law of cosines to find x:

Use the law of sines to find the missing angles:

b) Bearing P from R:

c)  Bearing R from P:

Answer:

a) Use law of consines to find x:

x=(160 2+200 2-2160×200× cos 91 grades) =258 km.

b) Bearning P from R:

360 grades - ( 55 degrees + 38 degrees)