A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answers

Answer 1

Answer:

54  

Step-by-step explanation:

216 - 3x = 324 -5x

subtract 216 from both sides

add 5x to both sides

divide both sides by 2x.


Related Questions

If y varies directly as x and x=6 when y = 3 what will y be when x = 10

Answers

Answer:

y = 5

Step-by-step explanation:


Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?


Answers

Answer:

1/3

Step-by-step explanation:

3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3

Dennis Hampton earns a straight com-
mission of 7% on sales of $5,000 or less
and 9% on sales in excess of $5,000. One
week Dennis had a gross pay of $578.
What were his total sales for that week?

Answers

Answer:

Denis's total sales that week were $ 6,422.22.

Step-by-step explanation:

Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:

7 = 578

100 = X

100 x 578/7 = X

57,800 / 7 = X

8,257.14 = X

9 = 578

100 = X

100 x 578/9 = X

57.800 / 9 = X

6,422.22 = X

Therefore, Denis's total sales that week were $ 6,422.22.

What is cos 30º?
O A. 13
B. 1
Oc.
O D.
3
2
E.
O F. 1 /

Answers

Answer: I do not understand the options you gave but but cos30º is equal to [tex]\sqrt{3}[/tex]/2 which is 0.86602540378.

Consider the functions shown on the graph. A coordinate grid with two lines. One line labeled f(x) and passes through (negative 3, 1), (0, 1), and point (1.5, 1). The second line is labeled g(x) and passes through point (0, negative 1), point (1.5, 1), and point (3, 3). What is the best approximation for the input value when f(x)=g(x)?

Answers

Answer:

1.5, C

Step-by-step explanation:

Took the test.

the area of a square room is 144square metres what is the perimeter of the room​

Answers

Answer:

the answer is 48

Step-by-step explanation:

12×12=144

4×12=48

Which ordered pair is a solution for 3x + 4y < 12?

Answers

Answer:

D, (1,2)

Step-by-step explanation:

It all comes down to substitution. In this case the coefficient of x is 3 and the coefficient of y is 4. The format of these coordinates being (x,y).

1. Plug in your x value (1 in this circumstance) and solve:

3(1) + 4y < 12

3 + 4y < 12

2. Plug in your y value (2 in this circumstance) and solve:

3 + 4(2) < 12

3 + 8 < 12

3. Solve

3 + 8 = 11

11 < 12

Will choose branliest

Answers

option three I’m so sorry if I’m wrong :heart:

You decide to study the effects of smoking, drinking and partying on life satisfaction. To do so, you assign people randomly to one of two smoking conditions (smoking or not), one of three drinking conditions (no alcohol, 1 drink per day, several drinks per day) and partying conditions (no partying, 1 hour of partying per day, 2 hours of partying per day). This design has

Answers

Answer:

3 factors ; 18 total conditions

Step-by-step explanation:

The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.

For each factor variable, each has a number of different conditions ;

For smoking : 2 conditions (smoking and not smoking)

Drinking : 3 conditions (no alcohol, 1 / day ; several per day)

Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)

Total number of conditions :

(2 * 3 * 3) = 18 conditions

PLEASE ANSWER THIS QUICK I WILL GIVE BRAINLIEST IF RIGHT AND WILL GIVE THANKS!

Answers

Answer:

4,896sq

Step-by-step explanation:

just multiply bro

Answer:

104m²

Step-by-step explanation:

[tex]Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}[/tex]

What is the equation of a circle with center (1,-4) and radius 2?
A. (x - 1)2 + (y +472 - 2
B. (x - 1)2 + (y + 4)2 - 4
C. (x + 1)2 + (y - 4) - 4
D. (x - 1)2-(y+4)2 - 4

Answers

Answer:

B. [tex](x-1)^2+(y+4)^2=4[/tex]

Step-by-step explanation:

The general equation of a circle with center (h,k) and radius r is given by :

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Substituting the given values of the center and radius into this equation we get:

[tex](x-1)^2+(y-(-4)^2=2^2[/tex]

==> remove parenthesis

[tex](x-1)^2+(y+4)^2=2^2[/tex]

==> simplify exponents

[tex](x-1)^2+(y+4)^2=4[/tex]

The equation of a circle with center (1,-4) and radius (2) is [tex](x-1)^2+(y+4)^2=4[/tex]

Learn more about the equation of a circle here : https://brainly.com/question/27248248

Pick me chose me love me NOW HELP ME WITH MATH

Answers

Answer:

Same

Step-by-step explanation:

Answer:

W=90

Step-by-step explanation:

THERES a box

2x+3y=15 x+y=6 solve these simultaneous equations

Answers

Answer:

do you need it for both sides

Step-by-step explanation:

Naomi has a bag that contains pineapple chews, cherry chews, and peach chews. She performs an experiment. Naomi randomly removes a chew from the bag, records the result, and returns the chew to the bag. Naomi performs the experiment 72 times. The results are shown below: A pineapple chew was selected 31 times. A cherry chew was selected 3 times. A peach chew was selected 38 times. Based on these results, express the probability that the next chew Naomi removes from the bag will be pineapple chew as a decimal to the nearest hundredth.

Answers

Answer:

0.43

Step-by-step explanation:

Answer:

0.43

Step-by-step explanation:

The experiment occurred 72 times , pineapple was selected 31 times

Probability the next chew will be pineapple:

31/72 = 0.430555

Round to the nearest hundredth: 0.43

I need help with number 3

Answers

Answer:

C

Step-by-step explanation:

60+70=130

M=50

K=130

m+k=180 it all adds up

Two of Mr. Evan's Earth science classes have 23 students each. Box plots for recent test scores for these two classes are
displayed
Third Period

Answers

The Statement A which says that the mean of the two data sets are equal is the correct statement.

What is box plot?

A boxplot is a standardized way of displaying the distribution of data based on a five number summary minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

According to the given problem,

We can notice from the two box plots that the mean for both the box plots is less than 80 but greater than 75.

Hence, we can conclude that the mean of the two data sets are equal.

Learn more about box plots here: https://brainly.com/question/12591498

#SPJ2

Find the missing lengths!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] =  13

QUICK
ADD THE EXRESSIONS
(10x - 4) + ( -7 + x) = (10x +) + ( -4 + )

Answers

Answer:

(10x - 4) + ( -7 + x)

10x-4-7+x=10x-11 is your answer

What is the constant in 24y-8

Answers

Answer:

8 ( 3 − 1 )

Step-by-step explanation:

24.. A toy company makes 40 plastic harmonicas in 30 minutes. At this
rate how long will it take to make 200 harmonicas?
Proportions

Answers

Answer:

It will take 2 and a half hours

Step-by-step explanation:

Well 40 can go into 200 5 times so you would do 5 times 30 minutes which would be 150 minutes and then you would divide it by 60 to simplify which would be 2 hours and 30 minutes. So it will take 2 and a half hours to make 200 harmonicas.

200/40 = 5

5 * 30 = 150

150/60 = 2 hours and 30 minutes

Answer:

6.7 minutes

Step-by-step explanation:

From what we know, we will have to divide. The things we are dividing are the 30 minutes it took to make the 40 plastic harmonicas and the total we need of harmonicas, which is 200. By dividing 200 by 30, we get 6.666666666666667. But, we can't have that long answer, so we need to round up. Which is when we get our quotient of 6.7 minutes. If I'm wrong, please, don't be afraid to correct me. And have a good day stranger!

Edit: This answer is wrong. I was corrected and now I know what the answer is. Please do avoid this answer. But have a good day to anyone sees this!

(c) 80 people entered the marathon. 85% of
finished in under three hours. How many
people finished in under three hours?

Answers

Answer:

68 people

Step-by-step explanation:

Find how many finished in under 3 hours by multiplying 80 by 0.85

80(0.85)

= 68

So, 68 people finished in under 3 hours

Find the value of the
trig function
a. Cos Ɵ = 2/5 find Tan Ɵ
b. Cosec Ɵ = 7/3 find Cos Ɵ
c. Cot Ɵ = 4/3 find Sec Ɵ
d. Tan Ɵ = 3 find Cosec Ɵ

Answers

Answer:

a.

cos θ = 2/5, tan θ = ?

tan θ = sin θ / cos θ tan θ = √sin² θ / (2/5) tan θ= 5√(1 - cos²θ) / 2 tan θ = 5√(1 - 4/25) / 2 tan θ = 5√(21/25) / 2 tan θ = √21 / 2

b.

cosec θ = 7/3, cos θ = ?

cosec θ =  1/ sin θ cosec θ = 1/ √(1 - cos²θ) √(1 - cos²θ) = 1 / cosec θ1 - cos²θ = (1 / (7/3))² cos²θ = 1 - 9 / 49cos²θ = 40/49cos θ = √40/49cos θ = 2√10/7

c.

cot θ = 4/3, sec θ = ?

cot  θ = cos θ / sin θcos θ = cot θ * sin θcos θ = 4/3 * √(1 - cos²θ)9cos²θ = 16(1 - cos²θ)25cos²θ = 16cos²θ = 16/25cos θ √16/25cos θ = 4/5sec θ = 1/ cos θsec θ = 1/ (4/5)sec θ = 5/4

d.

tan θ = 3, cosec θ = ?

sin²θ + cos²θ = 11 + cos²θ/sin²θ = 1/ sin²θ1 + 1/tan²θ = cosec²θ1 + 1/9 = cosec²θcosec²θ = 10/9cosec θ = √(10/9)cosec θ = √10 / 3

true or false- according to the box plot, 75% of the days the fitness club had over 65 people in attendance


A. true
B. false



PLEASE ANSWER ! I WILL GIVE YOU BRAINLIEST!!

Answers

Answer:

true

Step-by-step explanation:

Help please will mark brainliest!

Answers

Answer:

106

Step-by-step explanation:

23/24
What does a quartile mean?
All of the data
One fourth of the
data.
One half of the
data

Answers

Answer:
One fourth of the date
Explain: quartile=quarter

WILL GIVE BRAINLEIST TO WHOEVER SOLVES THIS THANK YOU.

Answers

Answer:

5749234

Step-by-step explanation:

Answer:A squre = c square = B square

Step-by-step explanation:

Give me Brainleist plz

What is the angle of rotation of the image?
A. 60°
B. 90
C. 120
D. 180

Answers

Answer:

C.

Step-by-step explanation:

360/3 = 120

Write the expanded form 38.65 in a decimal form

Answers

Answer:38.65 =  30 + 8 +6/10+5/100

Step-by-step explanation:

1) 22 oz =
Ibs
oz. plz help with this one

Answers

Answer:

1.375 lbs

Step-by-step explanation:

5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?

Answers

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.

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