6.) A kennel owner has 168 feet of fencing with which
to enclose a rectangular region. He wants to subdivide
this region into three smaller rectangles of equal
length. If the total area to be enclosed 832 ft-, what are
the possible dimensions of the region?​

Answer:

(1).(C) Commutative property.

(4).(D) 3

(3).(D)  75

Step-by-step explanation:

(1) Commutative property of addition states that if two number p and q are real. Then, it doesn't matter in which order the numbers are added it will provide the same result. i.e.

p + q = q + p

Therefore, -8 + (-15) = (-15) + (-8) is an example of commutative property.

(2) - (q+14) = (-3) + (-14)

[tex]\Rightarrow -q - 14=-3 -14[/tex]

[tex]\Rightarrow-q= -17 +14[/tex]

[tex]\Rightarrow-q=-3[/tex]

[tex]\Rightarrow q=3[/tex]

(3) -10 + a + (-15) = 50

[tex]\Rightarrow a -25 = 50[/tex]

[tex]\Rightarrow a = 50 + 25 = 75[/tex]

Answer: 6,300,000

Step-by-step explanation:

Answer:

6,003,000

You would place the six in the millions place, and the 3 in the thousands place!

Answer:

[tex]3 \frac{3}{4} \times 3 \frac{1}{3} = \frac{15}{4} \times \frac{10}{3} = \frac{25}{2} = 12 \frac{1}{2} [/tex]

The area of this room is 12 1/2 yd².

The area of the rectangular room is (12.5) square yards, calculated by multiplying length and width.

To find the area of a rectangular room, you multiply its length by its width. Given that the length is [tex]\(3 \frac{3}{4}\)[/tex] yards and the width is  [tex]\(3 \frac{1}{3}\)[/tex] yards, you can calculate:

[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]

First, let's convert the mixed numbers to improper fractions:

[tex]\[ 3 \frac{3}{4} = \frac{4 \times 3 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4} \text{ yards} \]\[ 3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3} \text{ yards} \][/tex]

Now, plug these values into the formula:

[tex]\[ \text{Area} = \frac{15}{4} \times \frac{10}{3} \]\[ \text{Area} = \frac{15 \times 10}{4 \times 3} \]\[ \text{Area} = \frac{150}{12} \]\[ \text{Area} = 12.5 \text{ square yards} \][/tex]

So, the area of the rectangular room is [tex]\(12.5 \, \text{square yards}\).[/tex]

Answer:

a. 53/82

b. 13 7/8

c. 12 16/23

d. 8 1/2

e. 5 8/15

f. 10 1/2

g.  3 13/18

h.   1 39/40

Step-by-step explanation:

Step-by-step explanation:

a. 13/41 + 27/82

[tex]\frac{13}{41}+\frac{27}{82}[/tex]

[tex]\frac{13\times 82+27\times 41}{82\times 41}=\frac{53}{82}[/tex]

b. [tex]3\frac{5}{24} + 6\frac{7}{24} + 4\frac{9}{24}[/tex]

[tex]\frac{77}{24}+\frac{151}{24}+\frac{105}{24}[/tex]

[tex]\frac{77+151+105}{24}=\frac{333}{24}[/tex]

c) [tex]5\frac{2}{3} + \frac{29}{69} + 6 \frac{21}{23}[/tex]

[tex]\frac{17}{3}+\frac{29}{69} +\frac{159}{23}[/tex]

[tex]\frac{17\times 23}{3\times 23}+\frac{29}{69} +\frac{159\times 3}{23\times 3}[/tex]

[tex]\frac{17\times 23+29+159\times 3}{69}=\frac{897}{69}=\frac{13}{1}[/tex]

d) [tex]3\frac{9}{10} + \frac{4}{9} + \frac{7}{45} + 4[/tex]

[tex]\frac{39}{10} + \frac{4}{9} + \frac{7}{45} + \frac{4}{1}[/tex]

[tex]\frac{39}{10} +\frac{4\times 10}{1\times 10}+\frac{4\times 5}{9\times 5} + \frac{7}{45}[/tex]

[tex]\frac{39+1\times 10}{10}+ +\frac{4\times 5+7}{45}[/tex]

[tex]\frac{49}{10}+\frac{27}{45}[/tex]

[tex]\frac{49\times 45+27\times 10}{10\times 45}=\frac{11}{2}[/tex]

e)[tex]6-\frac{7}{15}[/tex]

[tex]\frac{6}{1}--\frac{7}{15}[/tex]

[tex]\frac{6\times 15-7\times 1}{1\times 15}=\frac{83}{15}[/tex]

f)[tex]11\frac{3}{8} - \frac{7}{8}[/tex]

[tex]\frac{91}{8}- \frac{7}{8}[/tex]

[tex]\frac{91-7}{8}=\frac{84}{8}=\frac{21}{2}[/tex]

g)[tex]7 \frac{1}{6} - 3\frac{4}{9}[/tex]

[tex]\frac{43}{6}-\frac{41}{9}[/tex]

[tex]\frac{43\times 9-41\times 6}{54}[/tex]

[tex]=\frac{141}{54}=\frac{47}{18}[/tex]

h)[tex]5\frac{3}{8}-3\frac{2}{5}[/tex]

[tex]\frac{43}{8}-\frac{17}{5}[/tex]

[tex]\frac{43\times 5-17\times 8}{8\times 5}=\frac{79}{40}[/tex]

Answer:

18/49 or 0.367

Step-by-step explanation:

1 (1/6)=7/6

now,

3/7 ÷ 1 (1/6)

=3/7 ÷ 7/6        [∵1 (1/6)=7/6]

=3/7 x 6/7          

=18/49

=0.367

[tex]\bf \boxed{-2}\rule[0.35em]{12em}{0.25pt}\stackrel{~\hfill -\sqrt{2}}{\approx -1.4}\rule[0.35em]{10em}{0.25pt}\boxed{-1}[/tex]

Final answer:

The negative square root of two, −√2, falls between the consecutive integers -2 and -1 on the number line.

Explanation:

The student is asking about the position of the square root of a negative number on the number line, specifically −√2 (negative square root of two). To answer this, we first need to understand that the square root of a positive number is a number that, when squared, gives the positive number in question. For √2, we know that it falls between 1 and 2 because 1 squared is 1 and 2 squared is 4, and 2 lies between these two values.

Since the student is asking for negative √2, we simply reflect the position of √2 across the origin (zero) on the number line to find where −√2 lies. Hence, −√2 will fall between the integers -2 and -1. If we were estimating, we might say it is just a bit closer to -2 than -1, because √2 is approximately 1.414.

3(x-5)-4(x+3)

Multiply the first bracket by 3

(3)(x)=3x

(3)(-5)=-15

(-4)(x)=-4x

(-4)(3)=-12

3x-15-4x-12

3x-4x-15-12 ( combine like terms)

Answer: -x-27

Answer:

y= -2x+8

Step-by-step explanation:

2x+y=8

-2x     -2x

__________

y= -2x+8

I think this is what you're asking for. The question is kind of confusing.

See the attached picture for the answer.

Answer:

x = 4

Step-by-step explanation:

look at the screenshots below, they'll explain the answer

Hope I helped :)

Hey!

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

[tex]\boxed{ \bf A.~15,006.099~<~15,006.101}[/tex]

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

Explanation:

Since both numbers have 15,006 before the decimal we only need to see which number has a bigger decimal.

0.099 < 0.101

0.101 - 0.099 = 0.002

So, 15,006.101 is 0.002 bigger than 15,006.099!

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

Hope This Helped! Good Luck!

Answer:

8

Step-by-step explanation:

12×12 squared is = 12•144/=

1728

If you need a better explanation just ask in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Step-by-step explanation:

The easiest thing to do here is:

4x + 2 = -2 and 4x + 2 = 26

Just know whaever you get for x is greater or less than the actual answer.

4x + 2 = -2

      - 2  - 2

 4x = -4

 [tex]\frac{4x}{4} = \frac{-4}{4}[/tex]

x = -1 <--- Because -2 is supposed to be greater than x, x equals any number less than -1 but not -1.

4x + 2 = 26

     - 2    - 2

  4x = 24

  [tex]\frac{4x}{4} = \frac{24}{4}[/tex]

x = 6 <--- Because 26 is supposed to be less than x, x equals any numbey greater than 6 but not 6

Answer:

-1 > x OR 6 < x

Step-by-step explanation:

4x + 2 > 26

- 2 - 2

___________

4x > 24

__ ___

4 4

x > 6

__________________________________________________________

4x + 2 < −2

- 2 - 2

___________

4x < -4

__ __

4 4

x < -1

The above answers are written in reverse, which are the exact same result.

I am joyous to assist you anytime.

Answer:

9000

Step-by-step explanation:

200x45=9000

Answer:

9,000 pounds.

Step-by-step explanation:

That would be 45 * 200

= 9,000 pounds.

Answer:

36

Step-by-step explanation:

3(5+7)

multiply 3 and 5

then multiply 7 and 3

15 + 21

which is 36

Answer:

Step-by-step explanation: 3 x 5 =15 + 3 x 7 =21   15+21=36

Answer:

13 Miles

Step-by-step explanation:

All you need to do is divide 65 by 5.

65 / 5 = 13

Answer:

32+q

Step-by-step explanation:

The complete question is

Jake has 32 quarters on his desk, molly has q quarters in her purse.  

Which algebraic expression represents the total number of quarters that Jake and Molly have?  

we know that

To find out the total number of quarters that Jake  and Molly have, sum the amount of quarters that Jake has plus the amount of quarters that Molly has

Let

x ----> the amount of quarters that Jake has

y ----> he amount of quarters that Molly has

so

x+y

we have

[tex]x=32\ quarters\\y=q\ quarters[/tex]

substitute

32+q

Answer:

-4 and 6

Step-by-step explanation:

sum means +

-4+6=2

difference means -4-6=10

The sum of two integers is 2 and their difference is 10 then the two integers will be -4 and 6 and this can be determined by using the arithmetic operations.

Given :

Let the two integers be 'a' and 'b'. Then the sum of the two integers will be:

a + b = 2   ---- (1)

The difference between the two integers will be:

a - b = 10  ----- (2)

Now, solve the equation (1) for 'a'.

a = 2 - b --- (3)

Now, put the value of 'a' in equation (2).

2 - b - b = 10

2 - 2b = 10

2b = -8

b = -4

Put the value of 'b' in equation (3).

a = 2 - (-4)

a = 2 + 4

a = 6

Therefore, the correct option is D) -4 and 6.

For more information, refer to the link given below:

https://brainly.com/question/15385899

Answer:

2^n pieces

80 / (2^n) in²

Step-by-step explanation:

If she cuts the paper in half 1 time, she will have 2 pieces.

If she cuts the paper in half 2 times, she will have 4 pieces.

If she cuts the paper in half 3 times, she will have 8 pieces.

So the pattern is 2^n.

The original area is 80 in².  Divided by 2^n pieces means each piece has an area of 80 / (2^n) in².

Answer:

63/h - 3.14

Step-by-step explanation:

Quotient means divide.

So the answer to the division is a quotient. 63/h is the quotient of the division.

Less means subtract so the subtraction that is taking place is

63/h - 3.14 and that's your answer.

Often with these questions, you start backwards as in this question.

Answer:

No solution

Step-by-step explanation:

There are no values of x  that make the equation true.

Answer:

w=-1

Step-by-step explanation:

3w-7w-12=2(w-3)

1) Combine alike terms:

-4w-12=2(w-3)

2) Use the Distributive property on the left side of the equation:

-4w+12=2w-6

3) Add a 6 to both sides:

-4w-6=2w

4) Add a 4w to both sides:

-6=6w

5) Divide both sides by 6:

w=-6/6

6) Simplify the fraction:

w=-1

The solution to the equation 3w - (7w + 12) = 2(w - 3) is w = -1.

The given equation is 3w - (7w + 12) = 2(w – 3).

Distribute the negative sign (-) to the terms inside the parentheses on the left side and distribute the 2 to the terms inside the parentheses on the right side:

3w - 7w - 12 = 2w - 6

-4w - 12 = 2w - 6

Move all the terms involving w to one side of the equation by adding 4w to both sides:

-4w + 4w - 12 = 2w + 4w - 6

-12 = 6w - 6

Add 6 to both sides of the equation to isolate the term with 6w:

-12 + 6 = 6w - 6 + 6

-6 = 6w

Divide both sides of the equation by 6 to solve for w:

(-6) / 6 = 6w / 6

-1 = w

Therefore, the solution to the equation 3w - (7w + 12) = 2(w - 3) is w = -1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer:

[tex]\sqrt{64}-\sqrt{-289}[/tex]

[tex]=8-17i[/tex]

Step-by-step explanation:

[tex]\sqrt{64}=8[/tex] because 8(8)=64 and 8 is the positive square root of 64.

[tex]\sqrt{-289}=17i[/tex] because 17i(17i)=289i^2=-289(-1)=-289.

[tex]\sqrt{64}-\sqrt{-289}[/tex]

[tex]8-17i[/tex]

Answer:

8-17i

Step-by-step explanation:

Got right on PLATO

Answer:

x≤-17/9

Step-by-step explanation:

9x≤-17

1) Divide both sides by 9:

x≤-17/9

Answer:

16 = small

74 = big

Step-by-step explanation:

4x+10 = big angle

x = small angle

4x+10+x = 90

5x+10 = 90

5x = 80

x = 16

4 x 16 + 10 = 74

Avocado out!!!!!!!!!

Answer:

[tex]y=16^{\circ},x=74^{\circ}[/tex]

Step-by-step explanation:

Let complementary angles are x and y.

Let x is larger angle between x and y.

We have to find the measure of both angles x and y.

According to question

[tex]x=4y+10[/tex]

We know that complementary angles :Two angles whose sum is 90 degrees.

[tex]x+y=90^{\circ}[/tex]

[tex]4y+10+y=90[/tex]

[tex]5y=90-10=80[/tex]

[tex]y=\frac{80}{5}=16^{\circ}[/tex]

Substitute the value then we get

[tex]x=4(16)+10=74^{\circ}[/tex]

Answer:

1,888 bags.

Step-by-step explanation:

Let x represent the the weight of container of peppercorns.

We have been given that the container of oregano is 17 pounds heavier than a container of peppercorns. So the weight of container of oregano would be [tex]x+17[/tex].

We are also told that the total weight of both containers is 253 pounds. We can represent this information in an equation as:

[tex]x+x+17=253[/tex]

Let us solve for x.

[tex]2x+17=253[/tex]

[tex]2x+17-17=253-17[/tex]

[tex]2x=236[/tex]

[tex]\frac{2x}{2}=\frac{236}{2}[/tex]

[tex]x=118[/tex]

Therefore, the weight of peppercorns is 118 pounds.

Now, we will convert 118 pounds to ounces.

1 pound equals 16 ounces.

118 pounds = 118*16 ounces = 1,888 ounces

Since the peppercorns will be sold in one-ounce bags, therefore, 1,888 bags of peppercorns can be made.