Two tanks contain equal amount of liquid. They are connected by a pipe and 2500 gallons is
pumped from tank 1 to tank 2. When the pumping is done, one tank then contains 5 times as
much as the other. How many gallons did each tank contain at the start?

Answers

Answer 1

Answer:

3750

Step-by-step explanation:

Let the tank contain x gallons of water.

when pumping is done, then tank 1 contain x-2500 gallons

and tank 2 contain x+2500 gallons.

according to question,

5(x - 2500) = x + 2500

or, 5x -12500 =x+ 2500

or, 5x - x =2500+12500

or, 4x =15000

or, x= 3750

hence each tank contains 3750 gallons.


Related Questions

Please someone help me!!!!:)

Answers

Answer:

275.4cm

Step-by-step explanation:

A = pi*r^2

r = 9

A = 3.14 * 9^2

A = 3.14 * 81

A = 275.4

Hope this helps!

1. calculate showingbyour working
a)
[tex] {2}^{5} [/tex]
b) 5 cubed
c)
[tex]( \frac{1}{4} ) ^{2} [/tex]
d)
[tex] \sqrt{900} [/tex]

Answers

Answer:

a) [tex]32[/tex]

b) [tex]25[/tex]

[tex]c) \: \frac{1}{16} [/tex]

d) [tex]30[/tex]

Step-by-step explanation:

[tex]a) \: {2}^{5} [/tex]

[tex](2 \times 2 \times 2 \times 2 \times 2 \times)[/tex]

[tex]32[/tex]

[tex]b) \: {5}^{3} [/tex]

[tex](5 \times 5 × 5)[/tex]

[tex]125[/tex]

[tex]c) \: ( \frac{1}{4} {)}^{2} [/tex][tex] \frac{ {1}^{2} }{ {4}^{2} } [/tex][tex] \frac{(1 \times 1)}{(4 \times 4)} [/tex][tex] \frac{1}{16} [/tex][tex]d) \: \sqrt{900} [/tex]

[tex] \sqrt{ {30}^{2} } [/tex]

[tex]30[/tex]

Hope it is helpful....

PLEASE HELP

the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow​

Answers

Answer:

Step-by-step explanation:

what

Find the area please :)

Answers

Answer:

it's area is 1/2 b×h

1/2×7×3.8

13.3

Answer:

13.3 ft^2

Step-by-step explanation:

area = base x h / 2

A = 7 x 3.8 / 2

A = 26.6 / 2

A = 13.3 ft^2

At the end of her work day at the Ferguson Corporation, Sarah usually

walks to the subway station to travel home. Today, she is walking to the

Springdale Town Center first to take care of some errands. She will then

continue walking to the subway station to travel home. The map of these

routes is shown below.

2000 feet

Subway

Ferguson

Corporation

Station

Springdale

Town Center

If Sarah walks to the Springdale Town Center from the Ferguson

Corporation and then to the Subway Station, how much farther will she

walk than if she walks directly to the Subway Station from the Ferguson

Corporation? Show all of your work.

Answers

Answer:

1263.7032 feets

Step-by-step explanation:

Distance from Ferguson corporation to Springdale Town center ; let the distance = x

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 27 = x / 2000

0.5095254 * 2000 = x

1019.0508 feets

Distance from Springdale to Subway station, this is the hypotenuse :

Hypotenuse = √(1019.0508² + 2000²)

Hypotenuse = √5038464.7

Hypotenuse = 2244.6524 feets

Total distance walked from Ferguson to Springdale, then to Subway ;

(1019.0508 + 2244.6524) feets = 3263.7032 feets

Additional distance walked :

(3263.7032 feets - 2000 feets) = 1263.7032

In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:

[tex]H=1263.7032 feets[/tex]

We can use the definition of tangent to calculate:

[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]

Now using the Pythagorean theorem we have:

[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]

See more about triangles at brainly.com/question/2269348

Brainliest!!!!!marking<—

Answers

Answer:

I believe it would be (c)

Answer:

A

Step-by-step explanation:

Y= 200,000 (0.95)^2. How many birds will be there in 10 years?

Answers

Answer:

Kathleen, a professional golfer, had an average score last season

of 80 points. This season, her average score has been 72 points.

What is the percent of decrease in Kathleen's average score

100 ÷ 10 • 2 • 4 ÷ 2
40
0.625
20
10

Answers

Answer:

40

Step-by-step explanation:

100/10*2*4/2

10*2*4/2

20*4/2

20*2

40

If this helps please mark as brainliest

Answer:

40

Step-by-step explanation:

100/10=10

10*2=20

20*4=80

80/2=40

find the value of X need help soonnn

Answers

E
12^2 + 8^2 = C^2
144 + 64 = C^2
208= C^2
Then,
208 = 2 × 2 × 2 × 2 × 13.
√208 = √( 2 × 2 × 2 × 2 × 13)
√208 = √(4 × 4 × 13)
√208 = 4√13.

What is the domain of the relation?

A. {-4, -2, 1.4)
B. {-2, 1, 4)
C. {-2, 1, 4,4}
D. (-4.-2).(-2, 1), (1.4). (4.4)

Answers

Answer:

A{-4,-2,1,4} is the domain of function.

stay safe healthy and happy.

look at the screenshot pls help

Answers

Answer:

A = 6

B = 5.5

Step-by-step explanation:

16/8 = 2 so just multiply by 2 for 3, and divide by 2 for 11

yes

Step-by-step explanation:

(b) Jac thinks of a number,
25% of his number is 35.
What is 1/10 of Jac's number?

Answers

Answer:

14

Step-by-step explanation:

35 = 25%

35(4) = 100%

140 = 100%

140 x .10 = 10%

14 = 10%

find YZ pls fast correct

Answers

Answer:

44

Step-by-step explanation:

According to intersecting chords theorem:

21(2x - 6) = 30(x + 1)42x - 126 = 30x + 3042x - 30x = 126 + 3012x = 156x = 156/12x = 13

Find the value of YZ:

YZ = 30 + 13 + 1 = 44

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]

[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]

[tex]\large\textsf{21(2x) = 42x}[/tex]

[tex]\large\textsf{21(-6) = -126}[/tex]

[tex]\large\textsf{30(x) = 30x}[/tex]

[tex]\large\textsf{30(1) = 30}[/tex]

[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]

[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]

[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]

[tex]\large\textsf{42x - 30x = 12x}[/tex]

[tex]\large\textsf{126 + 30 = 156}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]

[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]

[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]

[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]

[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]

[tex]\large\textsf{30 + 1 + 13}[/tex]

[tex]\large\textsf{30 + 1 = \bf 31}[/tex]

[tex]\large\textsf{= 31 + 13}[/tex]

[tex]\large\textsf{= \bf 44}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

1244566789765432 x 23
whats the asnwer

Answers

Answer:

2.8 and a lot more number after that

Answer:

bro you need to look harder if its not on the internet then its nowhere

Step-by-step explanation:

x + 2y = 10
x + 3y = 15

Answers

X=0
Y=5
That’s the answer because you cancel out the x by taking away so ur left with 10-2y+3y=15
Y=15-10
Y=5
So put 5 in the equation and x=0

9/11÷5/6 divide the following . simply your answer

please help me​

Answers

(9/11)÷(5/6)

= 9/11×6/5

= 54/55

Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)

Answers

Answer:

If you still need the answer it’s c

Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,

The factorization is the form

(x-a) (x-b) where a and b are the zeros

(x-3) (x-2)

What are the graph coordinates of the vertex of the graph function y=x^2+6x-11

Answers

Answer:

(3-2) hope it helps sorry if wrong it should be right

Answer:

(-3, -20)

Step-by-step explanation:

Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles

Answers

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

Isabel has a basket of fruit with 3 apples, 6 bananas, 5 oranges, 4 pears, and 2 peaches. She wants to share the fruit with 4 of her friends. How many pieces of fruit will each person get?

Answers

Answer:

15/182

Step-by-step explanation:

the 1st one is 5/14 and the 2nd one is 3/13

5/14*3/13 = 15/182

David performed the following mathematical operation:
x+5
+9x-5
2x-
:-1)2x² +9
He was left with a remainder of zero. Which of the following statements must
be true?
A.
must be a root of the polynomial 2x² +9x-5.
o
B. O must be a root of the polynomial 2x² +9x-5.
O c.
must be a root of the polynomial 2x² +9x-5.
D. 5 must be a root of the polynomial 2x² + 9x-5.

Answers

Answer: C: x = 1/2

Step-by-step explanation:

The solution is , O c. 1/2 must be a root of the polynomial 2x² +9x-5.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here we have this:

Considering the provided mathematical operation, we are going to identify wich is the correct statement, so we obtain the following:

Since the remainder is zero, it means that setting the divisor and quotient equal to zero gives us the roots, then we have:

2x-1=0

2x=1

x=1/2

and, we have,

x+5=0

x=-5

Finally we obtain that the roots are 1/2 and -5, then the correct answer is the option C.

Hence, The solution is , O c. 1/2 must be a root of the polynomial

2x² +9x-5.

Know more about Polynomials here:

brainly.com/question/2833285

#SPJ7

a square tile has width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
16 tiles
8 tiles
4 tiles
1 tile​

Answers

Answer:

16 tiles

Because there are 4 parts in 4/4 and the  if you have 4 of the four parts that is 16.

Deltamath

Please help me I need help!!!!
⚠️Due today!!⚠️.

Answers

Answer:

(7,4)

Step-by-step explanation:

ASAP

(AND HOW DID YOU GET THE ANSWER)

- Will mark brianist

Answers

its c

Step-by-step explanation:

Answer:

A) The mean would increase

Step-by-step explanation:

Solve (3^p times 81 = 9) for p

Answers

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]

Last year a student correctly answered 4/5 of the total 40 questions given.What percent of the total questions she correctly answered?

Answers

She got 80 percent of the questions right

I’m lost, my deadline in 7 days and I’m virtually brain dead, anyone know dis

Answers

Answer:

[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]

Step-by-step explanation:

PLEASE HELP ME WITH THIS I DONT PAY ATTENTION LOL BUT HELPPP

Answers

Answer:

down ⬇⬇⬇

Step-by-step explanation:

5. its all of them so just write A, B, C, D, E, F, G

6. (equilateral) triangle, right triangle, diamond (?), parallelogram

7. C and E; A and B

8. not so sure about this one but i think its regular

9. its not a polygon because polygons have straight sides, and this figure does not.

10. the only polygon is C

pay attention in school, it'll help in the long run. even if it sounds boring, it will come in handy one day!!

hope this helped <33333

help me and ill give u points (math)

Answers

Answer:

64+27=97+X

x =91-97

x=-6

If cos 0 = 1/2, find the degree measure of 0.​

Answers

Answer:

60°

Step-by-step explanation:

if you look on a unit circle the coordinates correspond to (cos, sin) so at 60° they are (1/2, √3/2)

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