City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 12.3 meters but that the length would increase by 4.3 meters. So, the pool would now cover an area of 213.65 square meters. Which equation can be used to determine the original length of the pool, I?
A. 213.65 = 4.3(1+ 12.3)
B. 213.65(I+16.6)
C. 213.65 = 12.3(I+ 4.3)​

[tex]x = 1[/tex]

For this case we have the following expression:

(5⁰) = 1

By definition of power properties we have to:

(an)m = ɑn*n

Then, rewriting the expression:

5º = 1

Thus, the variable "x" can take any value:

Answer:

The variable "x" can take any value

Answer:

x = - 25/21

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

The solution to the equation 2/3 - 4x + 7/2 = -9x * 5/6 is x = 25/21.

To solve the equation: 2/3 - 4x + 7/2 = -9x * 5/6

Let's first combine like terms on the left side:

2/3 + 7/2 - 4x = -9x * 5/6

To add the fractions, we need a common denominator:

The common denominator for 3 and 2 is 6. So, we rewrite 2/3 as 4/6:

4/6 + 7/2 - 4x = -9x * 5/6

Now, we can add the fractions:

(4/6) + (7/2) = (8/12) + (42/12) = 50/12 = 25/6

The equation becomes:

25/6 - 4x = -9x * 5/6

Now, let's simplify further:

25/6 - 4x = -45x/6

To eliminate the fractions, we can multiply both sides by 6:

6 * (25/6 - 4x) = 6 * (-45x/6)

This simplifies to:

25 - 24x = -45x

Next, let's gather the x terms on one side of the equation:

-24x + 45x = 25

Combining the x terms:

21x = 25

Finally, solve for x by dividing both sides by 21:

x = 25/21

Therefore, the solution to the equation is x = 25/21.

To know more about solution, refer here:

https://brainly.com/question/16235478

#SPJ2

Answer:

[tex](0.1)^2[/tex]

Step-by-step explanation:

The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.

Hey there!

Option A.

0.01^4

= 0.01 * 0.01 * 0.01 * 0.01

= 0.0001 * 0.0001

= 0

Option B.

0.1^4

= 0.1 * 0.1 * 0.1 * 0.1

= 0.01 * 0.01

= 0.0001

Option C.

0.01^3

= 0.01 * 0.01 * 0.01

= 0.001 * 0.01

= 0.00001

Option D.

0.1^2

= 0.1 * 0.1

= 0.01

“ 0.01 > 0.0001 > 0.00001 > 0”

Therefore, your answer should be: 0.1^2 (option D)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

0.01, 0.1, 0.101, 0.11

Step-by-step explanation:

Answer:

n = 3.5

Step-by-step explanation:

basically it's saying that 2.8 is proportional to 4.8 as n is proportional to 6. therefore:

2.8/4.8 = n/6

0.583 = n/6

3.5 = n

Answer:

B. One whole number one over two. 1½

Answer: 7.2

Step-by-step explanation: u times 0.9 by 15, then separately u times 2.1 by 3. then u take both numbers and subtract.

Answer:

Step-by-step explanation:

0.9d - 2.1f = 0.9*15 - 2.1*3

                 = 13.5 - 6.3

                 = 7.2

Answer:

5.9%

Step-by-step explanation:

1245 - 1171.50 = 73.5

73.5/1245 × 100% = 5.9%

Answer:

d

Step-by-step explanation:

Answer:

0,3,6, and 30

Step-by-step explanation:

Answer:

Length 20

Width 15

Step-by-step explanation:

Answer:

1. Amount of commission =$3476

2.Gross pay = $4766

Step-by-step explanation:

commission =(11/100)×31,600

=$3476

Gross pay = 3476+1290

=$4766

(a) Slope is rise over run, or change in y over change in x.

1 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4 - -8}{-1 - -5} = \frac{4 + 8}{-1 +5}= \frac{12}{4} =\frac{12}{4}[/tex] )

2 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{1 - 7}{0 - 2} = \frac{-6}{- 2} =\frac{6}{2}[/tex] )

3 -> -1/3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-7 - -3}{6 - -6}= \frac{-7+3}{6+6}=\frac{-4}{12}=-\frac{1}{3}[/tex] )

(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.

1 & 2 -> Parallel

1 & 3 -> Perpendicular

2 & 3 -> Perpendicular

     Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Line 1: slope: 1

Line 2: slope: -3/2

Line 1 and line 2: neither

Line 3 slope: - 1/3

Line 1 and 3: neither

Line 2 and 3: neither

Step-by-step explanation:

Line 1: (-5,-8) and (-1,4)

Slope: (4 - - 8)/(-1 - - 5) = 12/4 = 3

Line 2: (2,7) and (0,10)

Slope: (10 -7)/(0 - 2) = 3/-2 = -3/2

Line 3. ((-6,-3) and (6,-7)

Slope: (-7 - - 3)/(6 - -6)= -4/12= -1/3

Answer:6,000 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can find out if the angles are the same by adding them

180 = 6x + 4x + 10 + 10x + 70

180 = 20x + 80

100 = 20x

x = 5

6x = 30

4x + 10 = 30

10x + 70 = 120

From this information, we can conclude that this is an obtuse triangle (iv.) and that this is and isosceles (ii.).

The answer is ii. and iv. which is B

Answer:

=-0.75

Step-by-step explanation:

S=y2_y1/x2_x1

Where x1=1

Y1=3/4

X2=4

Y2=-3

The lost pair of weight can be found by subtracting the a known pair from

the total weight leaving the value of the lost pair.

The lost weight of a pair of boys is 120 kg

Reasons:

Let a, b, c, and d represent the weights of the four boys, we have;

The number of ways of selecting pairs (two boys) of boys from a group of

four is given using combination formula as follows;

[tex]_nC_r = \dfrac{n!}{r! \cdot (n - r)!}[/tex]

Which gives;

[tex]_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6[/tex]

₄C₂ = 6

Therefore, the weights of the pairs are;

a + b = 110

a + c = 112

a + d = 113

b + c = 118

b + d = 121

c + d = Lost weight

a + b + c + d = 230 (given)

Therefore;

The lost weight, c + d = 230 - (a + b)

Which gives;

c + d = 230 - (110) = 120

The lost weight = c + d = 120

Learn more here:

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Answer:

116

Step-by-step explanation:

you can use variables

a+b=110

a+c=112

a+d=113

b+c=118

b+d=121

add up the weights and you get 574 kg (you need to find c+d)

3a+3b+2c+2d=574

a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3

you are left with c+d=116

similar method to the answer previously

Answer: Number C

Step-by-step explanation:

Solve

1

Find common denominator

4

.

2

=

−

8

.

5

+

1

0

.

7

4.2=\frac{c}{-8.5}+10.7

4.2=−8.5c​+10.7

4

.

2

=

2

−

1

7

+

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}

4.2=−172c​+−17−17⋅10.7​

2

Combine fractions with common denominator

4

.

2

=

2

−

1

7

+

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}

4.2=−172c​+−17−17⋅10.7​

4

.

2

=

2

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c-17 \cdot 10.7}{-17}

4.2=−172c−17⋅10.7​

3

Multiply the numbers

4

.

2

=

2

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c{\color{#c92786}{-17}} \cdot {\color{#c92786}{10.7}}}{-17}

4.2=−172c−17⋅10.7​

4

.

2

=

2

−

1

8

1

.

9

−

1

7

4.2=\frac{2c{\color{#c92786}{-181.9}}}{-17}

4.2=−172c−181.9​

4

Multiply all terms by the same value to eliminate fraction denominators

4

.

2

=

2

−

1

8

1

.

9

−

1

7

4.2=\frac{2c-181.9}{-17}

4.2=−172c−181.9​

−

1

7

⋅

4

.

2

=

−

1

7

⋅

2

−

1

8

1

.

9

−

1

7

-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}

−17⋅4.2=−17⋅−172c−181.9​

5

Cancel multiplied terms that are in the denominator

−

1

7

⋅

4

.

2

=

−

1

7

⋅

2

−

1

8

1

.

9

−

1

7

-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}

−17⋅4.2=−17⋅−172c−181.9​

−

1

7

⋅

4

.

2

=

2

−

1

8

1

.

9

-17 \cdot 4.2=2c-181.9

−17⋅4.2=2c−181.9

6

Multiply the numbers

−

1

7

⋅

4

.

2

=

2

−

1

8

1

.

9

{\color{#c92786}{-17}} \cdot {\color{#c92786}{4.2}}=2c-181.9

−17⋅4.2=2c−181.9

−

7

1

.

4

=

2

−

1

8

1

.

9

{\color{#c92786}{-71.4}}=2c-181.9

−71.4=2c−181.9

7

Add

1

8

1

.

9

181.9

181.9

to both sides of the equation

−

7

1

.

4

=

2

−

1

8

1

.

9

-71.4=2c-181.9

−71.4=2c−181.9

−

7

1

.

4

+

1

8

1

.

9

=

2

−

1

8

1

.

9

+

1

8

1

.

9

-71.4+{\color{#c92786}{181.9}}=2c-181.9+{\color{#c92786}{181.9}}

−71.4+181.9=2c−181.9+181.9

8

Simplify

Add the numbers

Add the numbers

1

1

0

.

5

=

2

110.5=2c

110.5=2c

9

Divide both sides of the equation by the same term

1

1

0

.

5

=

2

110.5=2c

110.5=2c

1

1

0

.

5

2

=

2

2

\frac{110.5}{{\color{#c92786}{2}}}=\frac{2c}{{\color{#c92786}{2}}}

2110.5​=22c​

10

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

=

55.25

Answer:

A.55.25

Step-by-step explanation:

4.2 = c/-8.5 + 10.7

4.2 - 10.7 = c/-8.5

-6.5 = c/-8.5

-6.5 . -8.5 = c

55.25 = c

Answer:

It's obtuse.

Step-by-step explanation:

Mumble. Smells al-kashi laws of cosine to me.

[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]

Now, we don't need to calculate the RHSs, and then:

If at least one of the three LHSs is greater than zero, the triangle is obtuse

If at least one is zero, it's a right triangle (pythagorean theorem anyone?)

if all three numbers are less than zero, the triangle is acute

Start crunching numbers.

[tex]139-73-36 = 30[/tex] First try was  the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED

Answer:

A. 8 to 2

b. 2 to 4

c. 6 and 4 or 3 and 5

d.  3and 6

e. 1 and 8

Step-by-step explanation:

Answer:

57.43

Step-by-step explanation:

I hope this.helps

Answer:

7V

The average amount of minutes exercised on each day

Step-by-step explanation:

We are given that every day "V" amount of vegetables are eaten everyday.

If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V

E = ( M + W + F ) / 3

M = # of minutes exercised on Monday

W = # of minutes exercised on Wednesday

F = # of minutes exercised on Friday.

Note that to find the average of something you find the sum of the values and divide that by the number of values.

The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.

Answer: C

Step-by-step explanation: the key is to look at the relationships between the numbers. The y value increments by 5.5 or 5 respectively, which LOOKS like additive. However, it is actually multiplicitve, since the question is the relation between X and y, not the y values. From there you can simply test that 5x1=5, 5x2=10, etc, etc.