A square piece of land is to be divided into 4 square quadrants of equal size. On a map, the entire piece of land measures 6 inches long on each side.
The scale of the map is inch = 20 feet. How much area will be included in each quadrant when the piece of land is divided?
A.43,200 ft2
B.27,000 ft2
C.14.400 ft2
D.10,800 ft2

First, apply the distributive property:

-30 = 5(x + 1)

-30 = 5x + 5

Substract 5 from both sides:

-30 - 5 = 5x + 5 - 5

-35 = 5x

Divide both sides by 5:

[tex]\mathsf{\dfrac{-35}{5} = \dfrac{5x}{5}}[/tex]

[tex]\large{\boxed{\mathsf{-7 = x}}}[/tex]

‎      

Let's check the answer:

-30 = 5(x + 1)

-30 = 5(-7 + 1)

-30 = 5(-6)

-30 = -30

The answer is correct.

‎      

Answer:

10 min.

Step-by-step explanation:

Remember d = rt

The distance from bear's house to beehive = 75m and 225m = distance from beehive to piglet's house

Let r = normal rate of speed

The normal time is 300/r without stopping

75/r = time from bear's house to beehive

225/(r + 15) = time from beehive to piglet's house

So, time from beehive to piglet's house + time at beehive + time from bear's house to beehive = normal time without stopping

225/(r + 15) + 2.5 + 75/r = 300/r

225r + 2.5r(r + 15) + 75(r + 15) = 300(r + 15)

225r + 2.5r^2 + 37.5r + 75r + 1125 = 300r + 4500 Let's remove the deceimal by multiplying thru by 10

2250r + 25r^2 + 375r + 750r + 11250 = 3000r + 45000

25r^2 + 3375r + 11250 =  3000r + 45000

25r^2 + 375r - 33750 = 0

25(r^2 + 15r - 1350) = 0

25(r - 30 )(r + 45) = 0

r = 30 or -45     But, the rate cannot be negative, therefore r = 30

The journey takes 300/30 = 10 min.

By solving a system of equations, we will see that the journey takes 10 minutes.

Let's define the variables:

We have that usually, the bear travels 300 meters in the time T, then we have:

S*T = 300m.

And in this situation, the bear also travels in the same time T, then we have:

First, the bear walks 1/4 of the distance, this is:

S*T/4

Then the bear stops for 2.5 minutes

Then the bear walks at 15m/min faster than usual for a time t..

S*T/4 + (S + 15 m/min)*t = 300m

Such that:

t + T/4 + 2.5 min = T.

Then we can write:

t = T - T/4 - 2.5 min = (3/4)*T - 2.5 min

Replacing that we get:

S*T/4 + (S + 15 m/min)*( (3/4)*T - 2.5 min) = 300m

Then we have a system of equations:

S*T = 300m.

S*T/4 + (S + 15 m/min)*( (3/4)*T - 2.5 min) = 300m

To solve this, we isolate one of the variables in one of the equations, I will isolate S in the first one:

S = 300m/T

Now we can replace this in the other equation:

(300m/T)*T/4 + (300m/T + 15 m/min)*( (3/4)*T - 2.5 min) = 300m

300m/4 +  (300m/T + 15 m/min)*( (3/4)*T - 2.5 min) = 300m

Now we can solve this for T.

75m + 225m + (11.25 m/min)*T - (750m/min)/T - 37.5m = 300m

(11.25 m/min)*T - (750m/min)/T - 37.5m = 0m

If we multiply both sides by T, we get:

(11.25 m/min)*T^2 - (750m/min) - 37.5m*T = 0m

This is a quadratic equation, the solutions are given by:

[tex]T = \frac{37.5m \pm \sqrt{(-37.5m)^2 - 4*(11.25 m/min) (-750m/min)} }{2*(11.25 m/min)} \\\\T = (37.5m \pm 187.5m)/( 22.5 m/min)[/tex]

We only care for the positive solution, which is:

T = (37.5 m + 187.5m)/(22.5 m/min) = 10 min

So the journey takes 10 minutes.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

f(3) = -2

One value of x for which f(x) = 2 is f( 1 )

hope this helps :)

Answer:

The slope of the graph of plane A is 430, its speed is 430 miles per hour.

The slope of the graph of plane B is 460, its speed is 460 miles per hour.

Plane B is flying faster.

Step-by-step explanation:

The speed of the airplane is the slope of the function, that is, change in distance by change in time. From table, we notice that curve is a first order polynomial, also known that linear function:

Plane A

The slope of the graph of plane A is 430, its speed is 430 miles per hour.

Plane B

The slope of the graph of plane B is:

[tex]v = \frac{1840\,mi-460\,mi}{4\,h-1\,h}[/tex]

[tex]v = 460\,\frac{mi}{h}[/tex]

The slope of the graph of plane B is 460, its speed is 460 miles per hour.

Therefore, plane B is flying faster.

Answer:

The awnser is 7/4!!!!!!!!

Answer: 1 and 1/10

Step-by-step explanation:

First you have to change the fractions denominator and that would become 5/10 and 6/10

Once you add them you get 1 and 1/10

Answer:

13.5

Step-by-step explanation:

Answer:

x=0, y= 0

Step-by-step explanation:

Answer:

d c a

Step-by-step explanation:

Answer:

This is your answer .

Have a good day ..

Answer:

a)3 b)6 c)2 d)8 e)9 f)10

look at the first one in a, the denomenator is 2. to make the denomentator 6 you have to multiply it with 3, since you cant change the denomentor without changing the numerator you also multiply it with 3.

Step-by-step explanation: look at the first one in a, the denomentor is 2, to make it 6 you have to multiply it with 3, since you cant change the denomenator without changing the numerator you have to also multiply with 3. repeat with the others. good luck

Answer:

12 square units

50 square feet

77 square meters.

Step-by-step explanation:

cut of the part that's sticking out and put it on the other side to get a rectangle.

Answer: -2

Step-by-step explanation:

y=3(-3)+7

y=-9+7

y=-2

Answer:

Y = -2

Step-by-step explanation:

3x-3 +7 = -2

Answer:

z = 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Distribute: 8x - 4 = 44

Add 4 on both sides, to get rid of the 4 on the left side: 8x = 48

Divide by 8 on both sides, to get the final value of x -->

Answer: x = 6

Hope this helped ;)

Answer:

He will spend less than or equal to $9

Step-by-step explanation:

21 + c </= 30

c</= 9

Answer:

45.1 % is your answer. Hope this helps you have a great day.

Brainly please.

Answer:

a = B

b = E

c = D

d = A

e = C

Step-by-step explanation:

Answer:

you are a very st*pid very f**cking girl d*mb*ss kid

Step-by- step explanation:

Answer:

B

Step-by-step explanation:

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]

where a is the first term and r the common ratio

Here a = 6144 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{3072}{6144}[/tex] = [tex]\frac{1}{2}[/tex] , then

[tex]S_{10}[/tex] = [tex]\frac{6144(1-(\frac{1}{2}) ^{10}) }{1-\frac{1}{2} }[/tex]

     = [tex]\frac{6144(1-\frac{1}{1024}) }{\frac{1}{2} }[/tex]

     = 12288(1 - [tex]\frac{1}{1024}[/tex] ) ← distribute

     = 12288 - 12

     = 12276 → B

Answer:

B. 12,276

Step-by-step explanation:

Answer:

(0.2)(38)

Step-by-step explanation:

To find a percent, you multiply the number (cost) by the decimal of the percent

20% as a decimal is .2

Answer:

0.2 48

Step-by-step explanation:

20% change into decimal form is 0.2 you move decimal two places left.

Answer:

$90.75

Step-by-step explanation:

103*100=(13.5%+100%)*x

10300=113.5x

x=10300/113.5

x=90.74889868

x=$90.75

Answer:

62.208

Step-by-step explanation:

51.84 + 10.368

Answer:

I think if the total amount was $51.84 after tax, then 51.84 x 0.20 = 10.368. $51.84 - 10.368 = $41.472

I think original price was $41.47. I am not sure.

Step-by-step explanation:

The 90th percentile of the distribution of x is 100.64.

Given that,

Here we have

[tex]n=16,\mu=100,\sigma^{2}=4[/tex]

Now we requried z-score that has 0.90 area to its left. z-score 1.28 has 0.90 area to its left.

So required 90th percentile is

[tex]z=\frac{\bar{x}-\mu}{\sigma/\sqrt{n}}\\\\1.28=\frac{\bar{x}-100}{2/\sqrt{16}}\\\\\bar{x}=100.64[/tex]

Learn more about the population here: https://brainly.com/question/905400?referrer=searchResults

Given:

[tex]\to n=16\\\\\to \mu=100\\\\ \to \sigma^{2}=4[/tex]

To find:

distribution [tex]\bar{x}=?[/tex]

Solution:

We require a z-score with such a 0.90 area to its left in this case. The area to the left of the z-score 1.28 is 0.90. As a consequence, the required 90th percentile is

Using formula:

[tex]\to z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\[/tex]

[tex]\to 1.28=\frac{\bar{x}-100}{\frac{2}{\sqrt{16}}}\\\\\to 1.28=\frac{\bar{x}-100}{\frac{2}{\sqrt{4^2}}}\\\\\to 1.28=\frac{\bar{x}-100}{\frac{2}{4}}\\\\\to 1.28=\frac{\bar{x}-100}{\frac{1}{2}}\\\\\to 1.28=\frac{\bar{x}-100}{0.5}\\\\\to 0.64 =\bar{x}-100\\\\\to \bar{x}=100+0.64\\\\\to \bar{x}=100.64\\\\[/tex]

Therefore, the answer is "100.64".

Learn more about the distribution here:

brainly.com/question/10137107

Answer:

18

Step-by-step explanation:

24=8×3

If F=24 when A=8 then F is directly proportional to A•3

Answer:

$170 was the original price.

Step-by-step explanation:

$42.5 is 25% of $170, and $170-$42.5 is $127.5

Answer:

ようrもmづっっっっっっっっhsつぽdねあr

Answer:

0

Step-by-step explanation:

Answer:

5934 and my favorite color is blue

Answer:

The answer is 5,934. And I love the color pink :)

Step-by-step explanation: