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)​

Answers

Answer 1

Answer:

C. 213.65 = 12.3(I+ 4.3)​

Step-by-step explanation:

Original length: l

New length: l + 4.3

area: LW

area: 213.65 m²

area = LW = (l + 4.3)(12.3)

(l + 4.3)(12.3) = 213.65

12.3(l + 4.3) = 213.65

Answer: C. 213.65 = 12.3(I+ 4.3)​


Related Questions

Help help help help help help

Answers

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

The length of a rectangle is 5 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.

Answers

Answer:

Length 20

Width 15

Step-by-step explanation:

What is the range of the graphed function?
O [x1-2 O [yI-2 O {x | x is a real number}
O [vl y is a real number}

Answers

Answer:

first one my sister tried it

Step-by-step explanation:

Can someone help me find the angles of R, S, and U? ive already solved the other ones

Answers

Assuming the angle congruent to r is not a right angle, we can solve for a supplementary one.

70 + x + x=180

70 + 110=180

110 can be broken down into 55, which we can use for the other two sides.

I’m gonna assume angle R is 55°.

For angle S, same thing. 62 + x=180

The value for it is 118, half it and you get 59°.

Last but not least, angle u. Angle u is diff bc it’s complimentary. We know that one side equals 59°, so subtract 59 from 90, and the value of angle U is 31°.

Hope this helps! It’s been a while since I was in geometry so I hope I’m right too aha

Part B: If (5^0)x = 1, what are the possible values of x? Explain your answer.

Answers

[tex]x = 1[/tex]

hope it helps

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

HI GUYS COULD SOMEONE PLEASE HELP ME???
I REALLY NEED HELP ILLL GIVE BRAINLIEST
I JUST REALLY NEED TO FINISH

Answers

Answer:

57.43

Step-by-step explanation:

I hope this.helps

The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright

Answers

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

Campbell food distribution pays frank bell a $1290 monthly salary plus a 11% commission on merchandise he sells each month. assume franks sales were $31,600 for last month.
Calculate the following amounts:
1. Amount of commission:
2. Gross pay:

Answers

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

HELP ME OUT PLEASE I RLLY NEED IT ASAP. ):

Answers

(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

10% out of 100 in simplest form

Answers

Answer:

10

Step-by-step explanation:

100 ÷ 10 = 10

El precio de un pantalon es de $1,245= si se le aplica un descuento de el cliente paga $1,171.50 por elQue porcentaje de descuento tiene el pantalon?

Answers

Answer:

5.9%

Step-by-step explanation:

1245 - 1171.50 = 73.5

73.5/1245 × 100% = 5.9%

Which of the following expressions has the greatest​ value?

Answers

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:)

Rachel has a $23,000 six year loan with APR of 7.25%

Answers

Answer:6,000 is the answer

Step-by-step explanation:

Please help with these questions

Answers

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:

Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg, and the weight of one pair was lost. The total weight of the four boys was 230 kg. What was the lost weight?

Answers

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

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

The lost weight = 120 kg

Learn more here:

https://brainly.com/question/12974932

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

can i have help please

Answers

It’s 3a

as 9/3 = 3

a^3/a^2 = a

and the b’s cancel out
its 3a because
you have to cancel the common factor which is b
means its now 9a^3/3a^2
factor 9 means 3 x 3a^3/3a^2
equals 3a^3/ a^2
a^3/ a^2 = a
3a

If the nth term of a number sequence is 5n – 2n, find the first 3 terms and the 10th term.​

Answers

Answer:

0,3,6, and 30

Step-by-step explanation:

can anyone please help me with this I am stuck on this

Answers

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

Simplify the following expression.
6 + (-11)
A. -17
B.-5
C. 5
D.17

Answers

answer: b (-5)

explanation: 11-6=5 therefore 6+(-11)= -5

4.2 = c/-8.5 + 10.7
A. 55.25
B. -126.65
C. -55.25
D. 126.65​

Answers

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

Solve the equation.
2/3-4x+7/2 = -9x5/6

If necessary:

Combine Terms


Apply properties:
Add
Subtract
Multiply
Divide
To start over:
Reset

Answers

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


Can someone help me with this I’m not getting it

Answers

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

help me pls with math

Answers

Answer:

d

Step-by-step explanation:

PLZ HELP ME D HOW J IT EHJ

Answers

180 and 20 other words eeeee

can someone please help me! :) ​

Answers

A all the other answers are too high or too low for the day on speaker

1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o

IN IN NII am |
0
0 0

Answers

Answer:

B. One whole number one over two. 1½

HELP ME PLEASE!!!!!!!!​

Answers

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.

What is the slope of (1,3/4) and (4,-3)

Answers

Answer:

=-0.75

Step-by-step explanation:

S=y2_y1/x2_x1

Where x1=1

Y1=3/4

X2=4

Y2=-3

Whats this, smallest to largest?
0.1

0.11

0.01

0.101​

Answers

Answer:

0.01, 0.1, 0.101, 0.11

Step-by-step explanation:

0.01, 0.1,0.101,0.11

Pls answer the questions, I would really appreciate it, thx, :)

Answers

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.

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Two things that you like about your school Which graph best represents y = x2 + 6x 1? How does tumor angiogenesis help spread cancer throughout the human body? A. By disrupting the bodys hormone levels. B. By forming new blood vessels.C. By making the body think the blood isnt pumping fast enough. D. By forming new white blood cells. What is (-i)^3A. -iB. iC. -1D.1 PLEASE HELP I WILL GIVE BRAINLIEST Match each muscle of the head and neck with the correct label. the basic fact that determines molecular shapes is that What allows an individual to avoid capital outlay?paying cloud by the monthpaying cloud by the yearpaying cloud by the hourpaying cloud by the day At the end of the story, the mourners at the house PLZZZ HELP MEEEeeeeeeeeeeeeeeeeeee Subtract (7u2+10u+6) from (3u25u+4). how many measures in 4/4 time is equal to 3:12 Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet. density is 6g/mL and volume is 40 mL what is the mass Globalization is in which type of society?a.Hunting and Gathering b. Biotech c.Post-industrial d.Industrial Jerome makes and sells his own energy drinks. He mixes a liquid drink mix with water to create his own special blend. Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks hell be able to sell a lot more of his energy drinks than usual. Jeromes brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. Jeromes sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink. Who is correct: Jeromes brother or Jeromes sister? As you complete the task, keep this question in mind: Based on what you know about ratios, what do you think the answer will be? Directions: Complete each task, reading the directions carefully as you do. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and on the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now lets get started! Step 1: Finding the part-to-part and part-to-whole ratios To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix? (2 points) What is the ratio of drink mix to water? (2 points) What is the ratio of drink mix to mixed energy drink? (2 points) What is the ratio of water to mixed energy drink? (2 points) Step 2: Testing Jeromes brothers approach Jeromes brother told him to add one cup of water for every one cup of drink mix he add what is 84 divided by -12 Customers at a gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the scenario.What is the slope of the line? Find the volume of the following prism. My surname is not Zhu in Chinese