X divided by X+4 =.6666

Answer:

40,000 ft

Step-by-step explanation:

The area of a rectangle is weight*length, and the perimeter is the sum og the four sides, which are 2 lengths sides ans 2 width sides, so:

area = w*l

perimeter = 2w + 2l

If the perimeter is 1000 ft:

2w + 2l = 1000

Also, the length is 300 ft more than width, so:

l = 300 +w

So, our system is:

2w + 2l = 1000 (equation 1)

l =300 + w (equation 2)

Son, we can solve it by replacing equation 2 in equation 1:

2w + 2(300 +w) = 2w + 600 + 2w = 4w + 600 = 1000

Now, subtract 600 in both sides:

4w + 600 - 600 = 1000 - 600

4w = 400

Divide both sides by 4:

4w/4 = 400/4

w = 100

Lets replace this w value in equation 2 to find l:

l = 300 + 100 = 400, so l=400

Finally we can find the area using the area formula:

area = 400*100 = 40,000 ft2

So, the area is 40,000 ft2

Final answer:

The area of the pasture is found by setting up and solving a linear system (1000 = 2w + 2(w + 300)); the dimensions of the rectangle are found to be 100 feet in width and 400 feet in length. The area is then calculated by multiplying the width by the length, yielding an area of 40,000 square feet.

Explanation:

To solve the problem, we need to establish a system of linear equations to find the dimensions of the pasture. Given that the perimeter of a rectangle is 2 times the width plus 2 times the length (P = 2w + 2l), and the length is 300 feet more than its width (l = w + 300), we can set up the following equations:

P = 2w + 2l

l = w + 300

Since we know the perimeter is 1000 feet, we substitute this value into the first equation:

1000 = 2w + 2(w + 300)

1000 = 2w + 2w + 600

1000 = 4w + 600

400 = 4w

w = 100 feet

Once we have the width, we can substitute this into the second equation to find the length (l):

l = 100 + 300

l = 400 feet

To find the area of the pasture, we multiply the width by the length:

Area = width × length = 100 feet × 400 feet = 40,000 square feet

The area of the pasture is 40,000 square feet.

Answer:

The volume of the new can is [tex]V_2=160x^3\pi\ cm^3[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z ----> the scale factor

In this problem

[tex]z=x[/tex]

The volume of the original can is

[tex]V_1=\pi r^{2}h[/tex]

The volume of the new can is

[tex]V_2=z^{3}V_1[/tex]

[tex]V_2=x^3(\pi r^{2}h)[/tex]

we have

[tex]r=4\ cm\\h=10\ cm[/tex]

substitute

[tex]V_2=x^3(\pi (4)^{2}10)[/tex]

[tex]V_2=160x^3\pi\ cm^3[/tex]

Answer:

Elliot will make 4 hats and 16 scarves

Step-by-step explanation:

Let x be the number of hats and y be the number of scarves Elliot will make.

Elliott wants to make a total of 20 items, then

x + y = 20

Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then

0.1y = 2(0.2x)

Thus,

0.1y = 0.4x

y = 4x

Substitute it into the first equation:

x + 4x = 20

5x = 20

x = 4

y = 20 - 4

y = 16

Hence, Elliot will make 4 hats and 16 scarves

Answer:

0.1s=2.0.2h

h+s=20

Step-by-step explanation:

Answer:

a. Segment BC is congruent to segment DE

Step-by-step explanation:

Answer:

30

5 × 6 = 30

3 ×10 = 30

6 × 5 = 30

Answer:

Step-by-step explanation:

[tex]LCD\ of\ \dfrac{2}{3}\ and\ \dfrac{1}{6}\ is\ 6:\\\\\dfrac{2}{3}=\dfrac{2\cdot2}{3\cdot2}=\dfrac{4}{6}\\\\LCD\ of\ \dfrac{1}{6}\ ond\ \dfrac{11}{5}\ is\ 30:\\\\\dfrac{11}{5}=\dfrac{(11)(6)}{(5)(6)}=\dfrac{66}{30}\\\\\dfrac{1}{6}=\dfrac{(1)(5)}{(6)(5)}=\dfrac{5}{30}\\\\\dfrac{2}{3}=\dfrac{4}{6}=\dfrac{(4)(5)}{(6)(5)}=\dfrac{20}{30}\\\\\text{Therefore:}\\\\\dfrac{11}{5}+\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{66}{30}+\dfrac{20}{30}+\dfrac{5}{30}=\dfrac{66+20+5}{30}=\dfrac{91}{30}=3\dfrac{1}{30}[/tex]

Answer:

643999001

Step-by-step explanation:

Answer:

8a-28b+15c

Step-by-step explanation:

4(2a)+7(-4b)+(3*c*5)

8a-28b+15c

Answer:

Step-by-step explanation:

[tex]-2y+10<-14\qquad\text{subtract 10 from both sides}\\\\-2y+10-10<-14-10\\\\-2y<-24\qquad\text{change the signs}\\\\2y>24\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{24}{2}\\\\y>12[/tex]

Answer:

B) 25°

Step-by-step explanation:

Assuming the quadrilateral is the one shown in the picture attached, then a triangle ADC is form, where m∠ADC = 125° and m∠1 = 30°. The addition of the three angles of a triangle is equal to 180°, so:

m∠ADC + m∠1 + m∠2 = 180°

Replacing with the known values and isolating m∠2 we get:

125° + 30° + m∠2 = 180°

m∠2 = 180° - 125° - 30°

m∠2 = 25°

Answer:

it is 25 degrees

Step-by-step explanation:

thanks for your help

plz mark as brainlest.

1/8*3/4

multiply the numerators together

1*3=3

multiply the denominators together

8*4=32

answer:

3/32

Answer:

The answer is 3/32.

Step-by-step explanation:

You multiply 1/8 x 3/4. 1x3 equals 3 so that is the numerator and 8x4 equals 32 so that is the denominator.

Each person will get 7/30 fraction of pizza

Step-by-step explanation:

Given

[tex]Total\ pizza = 2\frac{1}{3} = \frac{7}{3}\\Total\ people = 10[/tex]

In order to find the fraction of pizza each person will get, we have to divide the total pizza by total number of people

So,

[tex]Share\ of\ one\ person = \frac{\frac{7}{3}}{10}\\=\frac{7}{3} * \frac{1}{10}\\=\frac{7}{30}[/tex]

Hence,

Each person will get 7/30 fraction of pizza

Keywords: Fractions, Division

Learn more about fractions at:

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Answer:

P = 28cm

Step-by-step explanation:

First, all four sides of a rhombus are congruent, meaning that if we find one side, we can simply multiply by four to find the perimeter. Second, the diagonals of a rhombus are perpendicular bisectors of each other, thus giving us four right triangles and splitting each diagonal in half.

Answer:

If you mean the sum ?

55 + 3 = 58

Answer:

58

Step-by-step explanation:

11 x5=55

3x1=3

55+3=58

Answer:

ONP and JKI

Step-by-step explanation:

exterior angles are the angles on the outside and if your looking for the alternate exterior angle you would go and find the equivalent angle on the opposite side of the bisector or the ray cutting the parallel lines in half

Answer:

12

Step-by-step explanation:

12 is the smallest number that divisible by 6 and 12

Answer:

139.5/1 or 1395/10

Step-by-step explanation:

Answer:

The runner's unit rate is 0.09 miles/minute.

Step-by-step explanation:

Given:

Distance cover by runner = 8 miles and the time taken = 92 minutes.

Now, to calculate the runner's unit rate.

We put the formula to get the unit rate:

Velocity = distance/time

[tex]v=\frac{d}{t}[/tex]

[tex]v=\frac{8}{92}[/tex]

[tex]v=0.0869[/tex]

v = 0.09 miles/minute (approximately)

Therefore, the runner's unit rate is 0.09 miles/minute.

Final answer:

To find the runner's unit rate, divide the total miles (8) by the total minutes (92), resulting in a rate of 0.08695652 miles per minute or 5.217 miles per hour when converted.

Explanation:

The question is asking to find the unit rate of a runner who runs 8 miles in 92 minutes. To find the unit rate, we need to calculate how many miles the runner can run in one minute. This involves dividing the total miles run by the total minutes taken.

Calculation:
Unit Rate = Total Miles / Total Minutes = 8 miles / 92 minutes = 0.08695652 miles per minute.

For practical purposes and better understanding, it might be useful to convert this unit rate into miles per hour. Since there are 60 minutes in an hour, we simply multiply the unit rate per minute by 60.

Miles per hour = 0.08695652 miles/minute * 60 minutes/hour = 5.217 miles per hour.

Therefore, the runner's unit rate is 0.08695652 miles per minute, or equivalently, 5.217 miles per hour.

Answer:

The number of large boxes is 55 and the number of small boxes is 70

Step-by-step explanation:

The complete question is

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 20 pounds each. There are 125 boxes in all. If the truck is carrying a total of 4150 pounds in boxes, how many of each type of box is it carrying?

Let

x ------> the number of large boxes

y -----> the number of small boxes

we know that

[tex]x+y=125[/tex] -----> equation A

[tex]50x+20y=4,150[/tex] ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (55,70)

therefore

The number of large boxes is 55 and the number of small boxes is 70

Answer:

In litres the volume of the pot of soup is 18.93litre

Step-by-step explanation:

This problem seeks to examine our understanding of unit conversion

Step one

Convert quarts to liters

Definition of quart (symbol: qt)

Quart is a unit of volume in the United States customary and imperial systems of measurement. Multiple.

Step two

If 1 qt=0.946353 litre

20qt=x litre

By cross multiplication we have

x litre = 20*0.946353 litre

x=18.93litre

In litres the volume of the pot of soup is 18.93litre

To convert 20 quarts to liters, you would use the conversion factor of 1 liter equating to 1.06 quarts. Following this conversion, the volume of the soup pot would be approximately 18.87 liters.

You're asked about the volume of a soup pot that contains 20 quarts and wants it to be converted to liters. Based on our comparison, 1 liter is approximately equivalent to 1.06 quarts. So to convert from quarts to liters, you'd divide the amount in quarts by the conversion factor.

Here is a step-by-step process to convert 20 quarts to liters:

 Identify the conversion factor: 1 liter = 1.06 quarts

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Answer:

3. The superhero is afraid of heights.

"The superhero is afraid of heights." is independent clause because the sentence contains a subject and verb and it's a complete sentence.  

Step-by-step explanation:

An independent clause is a group of words that contains a subject and verb and expresses a complete thought. An independent clause is a sentence.

          Jim studied in the Sweet Shop for his chemistry quiz.

A dependent clause is a group of words that contains a subject and verb but does not express a complete thought. A dependent clause cannot be a sentence. Often a dependent clause is marked by a dependent marker word.  A dependent marker word is a word added to the beginning of an independent clause that makes it into a dependent clause. Some common dependent markers are: after, although, as, as if, because, before, even if, even though, if, in order to, since, though, unless, until, whatever, when, whenever, whether, and while.

          When Jim studied in the Sweet Shop for his chemistry quiz . . .

         (What happened when he studied? The thought is incomplete.)

Answer: choice 3. The superhero is afraid of heights

The other choices are sentences that are incomplete because they need more structue to them. For example, sentence 1 implies that something else is going on during Marvin's guitar time. The other sentences have cliffhangers as well and they arent fully independent or on their own. Sentence 3 expesses a single complete thought without introducing some other related or tangential thought needed to complete that idea.

Positive integers are 20,22 and negative integers are -22,-20.

Step-by-step explanation:

Let,

2 positive integers are x, x+2

According to given statement;

[tex]x(x+2)=440\\x^{2}+2x=440\\x^{2}+2x-440=0\\x^{2}+22x-20x-440=0\\x(x+22)-20(x+22)=0\\(x+22)(x-20)=0\\Either,\\x+22=0\\x=-22\\Or,\\x-20=0\\x=20[/tex]

If x=-22

Then,

x+2 = -22+2 = -20

Or,

x=20

x+2 = 20+2 = 22

Positive integers are 20,22 and negative integers are -22,-20.

Keywords: Integers, Multiplication

Learn more about multiplication at:

#LearnwithBrainly

The two consecutive even integers whose product is 440 are 20 and 22. When considered as positive and negative, they are +20 and -20, +22 and -22, respectively.

To find the two consecutive even integers whose product is 440, we need to employ some algebraic reasoning. Let's denote the first of the two consecutive even integers as x.

Given that even integers follow a pattern of +2, we can denote the next consecutive even integer as x + 2.

Hence, we're solving for the equation x * (x + 2) = 440. Solving this equation will give us our consecutive even integers, which are 20 and 22. In terms of positive and negative integers, they would be represented as +20 and -20, +22 and -22, respectively.

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Answer:

x=3

Step-by-step explanation:

2

x

+

3

=

9

We want to find the variable  

x

, so we have to make it alone. To do so, first subtract  

3

from both sides of the equation:

2

x

+

3

−

3

=

9

−

3

2

x

=

6

Now divide both sides by  

2

:

2

x

2

=

6

2

So the final answer is:

x

=

3

Hope this helps!

Answer: x = 3

Step-by-step explanation: To solve for x in the equation you see here, our goal is to get x by itself.

Our first step will be to isolate the term containing x which in this case is 2x. To isolate 2x, we have to get rid of the 3 by subtracting 3 from both sides of the equation.

On the left, the 3's cancel each other out and we are left with 2x. On the right, 9 - 3 simplifies to 6 and we are left with 2x = 6 which is a one step equation.

To get x by itself, since it's being multiplied by 2, we just divide both sides of the equation by 2. On the left, the 2's cancel and we are left with x. On the right, 6 over 2 simplifies to 3.

Therefore, our answer is x = 3.

Answer:

5 + 42

Step-by-step explanation:

Given

5 - 6x(- 7)

= 5 - 6 × - 7 ← perform multiplication before subtraction

= 5 + 42

= 47

Answer:

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents

MD Multiplication and Division

AS Addition and Subtraction

[tex]5-6\times(-7)[/tex]          first - multiplication

[tex]=5+(-6)(-7)=5+42[/tex]         next - addition

[tex]=47[/tex]

Answer:

Prices of Toys: As we move to the right, toy sales decrease and suddenly jump up to a certain point when advertising begins. advertising lasts for a while, but as soon as it stops, the toy sales go down. X axis is time and y axis is sales in thousands

Step-by-step explanation:

Answer:

Infinitely many solutions. The value of x can be any real number.

Step-by-step explanation:

6 times 1/3x = 2x

6 times 1/2 = 3

6 times (1/3x + 1/2) = 2x+3

The left side of the original equation becomes 2x+3. The right side is also 2x+3. Both sides are the same, so we get infinitely many solutions.

We have,

[tex]6(\frac{1}{3}x+\frac{1}{2})=2x+3[/tex]

First distribute 6 through parentheses

[tex]2x+3=2x+3[/tex]

We can see both sides are equal hence for all x the equation will result with tautology (undeniable equality).

The answer is [tex]x \in \mathbb{R}[/tex].

Hope this helps.

Answer:

x=-3, y=-6. (-3, -6).

Step-by-step explanation:

-9x+7y=-15

-8x+y=18

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

y=18-(-8x)=18+8x=8x+18

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

-9x+7(8x+18)=-15

-9x+56x+126=-15

47x+126=-15

47x=-15-126

47x=-141

x=-141/47

x=-3

-8(-3)+y=18

24+y=18

y=18-24=-6

x=-3, y=-6.

Answer:

x = 51/28

y= 24/7

Step-by-step explanation:

Answer:

4, 16 and 10

Step-by-step explanation:

Here we would like to work with a system of 3 equations, we need ti find them. Lets call s the 10oz coffees, m the 14oz and l the 20oz.

As Kyle sold $37.2 selling 3 different types of coffee at their respective prices we can say:

revenue = s*0.95 + m*1.15 + l*1.5 = 37.2 [equation 1]

And as he sold 30 cups:

s + m + l = 30 [equation 2]

And as the total volume of coffee is 464 oz:

s*10 + m*14 + l*20 = 464 [equation 3]

So, we have a system of 3 equations with three unknowns s, m and l.

Take the eq 2 and subtract m and l in both sides:

s = 30 - m - l

Now, take it and replace in the other 2:

(30 - m - l)*10 + 14m + 20l = 464 [eq 3]

0.95(30 - m - l) + 1.15m + 1.5l = 37.2 [eq 1]

Working with equation 3:

300 -10m -10l + 14m + 20l = 464

300 + 4m + 10l = 464

4m + 10l = 164 [equation 3']

Now with eq 1:

0.95(30 - m - l) + 1.15m + 1.5l = 37.2

28.5 - 0.95m - 0.95l + 1.15m + 1.5 l = 37.2

28.5 + 0.2m + 0.55l = 37.2

0.2m + 0.55l = 8.7 [equaiton 1']

Now we passed to a 2-equation system with eq 1' and eq 3'.

Take eq 3' and subtract 4m in both sides:

10l = 164 - 4m

Now divide by 10 in both sides

l = [164 - 4m]/10

Now, with this value for l replace in eq 1':

0.2m + 0.55 ( [164 - 4m]/10) = 8.7

0.2m + 0.055 (164 - 4m) = 8.7

0.2m + 9.02 - 0.22m = 8.7

- 0.02m = -0.32

m = -0.32/-0.02

m = 16 ----> 16 14oz coffees

Now replace m=16 in eq 1' or 3' to find l:

4m +10l = 164

64 + 10l = 164

10l = 100

l = 10 ----> 10 20oz coffees

So, finally we replace l=10 and m=16 in equaiton 2:

s + m + l = 30

s + 16 +10 = 30

s = 30 - 26

s = 4

So, Kyle filled 4 10oz coffes, 16 14oz coffees and 10 20oz coffees.

Answer:

(1, 4)

Step-by-step explanation:

Lets show first the inequality. Putting in numbers what greater than one half times x plus 2 means is:

y > (1/2)x + 2

The procedure is simple: take the points and replace them in the inequality to see which verifies.

(1, 4):

4 > (1/2)*1 + 2

4> 1/2+ 2

4 > 1/2 + 4/2

4> 5/2

8/2> 5/2 ---> I verifies!!!

(-1, 1)

1 > (1/2)(-1) + 2

1> -1/2 + 2

1 > -1/2 + 4/2

1 > 3/2 ---> Not verify!!

(2, 3):

2 > (1/2)*2 + 2

2 > 1 + 2

2 > 3 ---> Not verify!!!

(0, 2)

2 > (1/2)*0 + 2

2 > 2 ---> Not verify!!!

So, the only pair that verifies is (1, 4)

Answer:

(4,0) and (-2,0)

Step-by-step explanation:

(x-4)(x+2)

one of the brackets must equal zero; hence, we equal each brakcet to zero and solve the equation.

x-4=0

x=4

__________________________________

x+2=0

x=-2

To lay this out in coordinate format we would get:

(4,0) and (-2,0)

so our answers are the first and second option.