Two tanks hold a total of 61 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How many gallons does each tank hold?

Answers

Answer 1

Answer:

tank 1 : 19 gallons

tank 2 : 42 gallons

Step-by-step explanation:

tank 1 : x

tank 2 : 2x+4 ( 4 more than twice the other )

x + ( 2x + 4 ) = 61

3x + 4 = 61 [ add x + 2x = 3x ]

3x = 57 [ subtract 4 on both sides ]

x = 19 [divide 3 on both sides ]

tank 1 : 19 gallons

tank 2 : 42 gallons


Related Questions

х Y
2 4
4 5
7. 6.5

Write the equation of the line represented by the table

Answers

Answer:

y = 0.5x + 3

Step-by-step explanation:

1/3 of 3 please help I'll give 20 points​

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Let simplify :- 2 ⅓ ÷ 1 ⅛ ÷ 2 ¼​

Answers

Step-by-step explanation:

7/2 ÷ 9/8 ÷ 9/4

7/2 × 8/9 × 4/9

= 112/81

= 1 ³¹/81

[tex]\large\huge\green{\sf{Question:-}}[/tex]

2 ⅓ ÷ 1 ⅛ ÷ 2 ¼

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

=2 ⅓ ÷ 1 ⅛ ÷ 2 ¼ =???

=7/2 ÷ 9/8 ÷ 9/4

=7/2 × 8/9 × 4/9

= 224/162

=112 /81

=1 ³¹/81

Elton has 2 jobs and can work at most 32 total hours per week. He makes $9.00 per hour as a dog walker and $10.00 per hour as a store clerk. He wants to earn a minimum of $200 per week. Which is system of inequalities can be solved to find the possible combination of hours worked at each job that will help him to reach his goal?

Answers

Answer:

3-4 days

Step-by-step explanation:

So, if Elton works at each job for 5 hours, he will get $95. He would keep on doing this for 2-3 days. He would get $190 in total. The next day, he could get his $10 for being a store clerk. 190 + 10 = 200. And that's how Elton would make $200 in less than one week!

Help me pleaseeeee?????

Answers

Answer:

The data covers 58 to 86 = 28 for the total distance

Each quartile will occupy a difference of 28/4 = 7

58 - 65 = first quartile (or lower quartile)

65 - 72 = second quartile

72 - 79 = third quartile

79 - 86 = fourth quartile (or upper quartile)

Notice that the first quartile ends at 65 and the second quartile starts at 65

If you divide a straight line accordingly there must not be an empty space between the first and second quartile to be all inclusive

The median is the middle point or 58 + 14 = 72

14 points lie in the range of 58 to 72 and

14 points lie in the range of 72 to 86

Help help help help math math

Answers

Answer:

a  is 27354326 b is 13943y and c is 1937x

Step-by-step explanation:


Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups

Answers

Answer:y=12 x=00

Step-by-step explanation:

you can not

The required equation that represents the graph is y = x + 30

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The standard linear equation is given as y = mx + b

Where,

m is the slope

b is the y-intercept

Using the coordinates (20, 50) and (40, 70)

Get the slope of the line:

m = 70-50/40-20

m = 20/20

m = 1

Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.

Therefore, the Required equation that Shows the graph is y = x + 30

Learn more about linear equations here:

brainly.com/question/13763238

#SPJ2

What is the common difference in the sequence below? 9, 2, -5, -12, ......
Select one:
a. -5
b. -6
c. -8
d. -7

Answers

Answer:

-7

Step-by-step explanation:

a=9 a2=2 a3=-5 a4=-12

d = a4-a3 ,a3-a2, a2-a.

so:

d = -12-(-5) =-12+5 =-7

also;

d = -5-2 = -7

and

d= 2-9 =-7

so the common difference is -7

Answer:

-7

Step-by-step explanation:

We know that

Common difference = a2 - a1

=> 9 - 2

=> -7

What must be true if x/y / 3a/b = 3a/b
HELP! TIMED TEST

Answers

Answer:

[tex]\frac{x}{y} =\frac{9a^2}{b^2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{y} :\frac{3a}{b} =\frac{3a}{b}; \ => \ \frac{x}{y} :\frac{3a}{b} *\frac{3a}{b} =\frac{3a}{b} *\frac{3a}{b}; \ => \ \frac{x}{y}=\frac{9a^2}{b^2}.[/tex]

Answer:

D. x/y = 9a^2/b^2

Step-by-step explanation:

You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25 years and your account earns 6.4% interest while saving for retirement and 5.6% interest while retired:
Round your answers to the nearest cent as needed.

a) How much will you need to have when you retire?
$ 448,704.35 (correct answer)

b) How much will you need to deposit each month until retirement to achieve your retirement goals?


c) How much did you deposit into you retirement account?


d) How much did you receive in payments during retirement?


e) How much of the money you received was interest?

Answers

Answer:

use calculator

Step-by-step explanation:

Find the area for each of the given shapes below. If a shape has shading, find the area of the shaded region only.

Answers

Answer:

  a.  39 ft²

  c. 2x² +11x +12

  e. 35 yd²

Step-by-step explanation:

a.

The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...

  total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²

__

c.

We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:

  A = LW

  A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure

__

e.

The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.

  A = 1/2(14 yd)(5 yd) = 35 yd²

Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !

Answers

Answer:

15)alternate exterior, 16) corresponding angles 17) alternate exterior 18) same side interior

19) alternate interior

if the telephone was invented in 1876 how old was it in 1991 how long had it been around

Answers

Answer:

115 Years Old

Step-by-step explanation:

1991-1876 = 115

1991 - 1876 = 115 Years Old.

Help me pleaseeeeeeeeeee

Answers

Carry learning!

Stay safe!

A new health drink has 190% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamins are in the drink?

Answers

There is 95mg of vitamins in the drink

Percentages and proportion

If a new health drink has 190% of the recommended daily allowance (RDA) for certain vitamins and the RDA for this drink is 50mg.

The amount of milligrams of the vitamins in the drink is expressed as shown:

A = 190 % of 50mg

A = 1.9 * 50

A = 95mg

Hence there is 95mg of vitamins in the drink

Learn more on percentages https://brainly.com/question/25793394

Answer:

There is 95mg of vitamins in the drink

The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer:

[tex]x-3[/tex] by [tex]2x-5[/tex] units

Step-by-step explanation:

Use the slide-and-divide method to factor the polynomial:

[tex]2x^2-11x+15[/tex]

[tex]x^2-11x+30[/tex]

[tex](x-6)(x-5)[/tex]

[tex](x-3)(2x-5)[/tex]

Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units

A triangle has two angles with measures of 50 degrees and 70 degrees joined by a side with a length of 20 centimeters.
Which figure represents this triangle?
709
50
O
20
50
2009
70
o
500
709
20
20
70°
50°

Answers

Answer:

Step-by-step explanation:

Given :-

Two angles in a triangle have measurements of 20° and 50 °.

To Find  :-

Measurement of third angles of triangle

Solution :-

We know that the sum of all angles of triangle is 180°.

Measurement of third angles = x

20° + 50° + x = 180°

combine like terms

70° + x = 180°

subtract both sides from 70°.

70° - 70° + x = 180° - 70°

x = 110 °

Hence, the measurement of the third angie of a triangle is 110°.

Answer:

The third option is the correct answer.

Is y=x/10 represent proportional relationship

Answers

Yes, because x turns to into 1/10.

I will give brainliest

Answers

14 x 3 = 42
6 x -1 = –6

42 - 6 = 36

Answer:

Its D. 36

Step-by-step explanation:

y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
y
when
x
=
3

Answers

Answer:

y = 18 when x = 3

Step-by-step explanation:

y is directly proportional to x^2, meaning:

[tex]y=ax^2[/tex]

where a is the proportion between them. We're given the values for both x and y, so plug those in and solve for a:

[tex]8=a(2)^2\\8=a4\\2=a\\a=2[/tex]

Now you can use a to solve for y when x is 3:

[tex]y=ax^2\\y=(2)(3)^2\\y=2(9)\\y=18[/tex]

{(23,4),(-3,8),(-25,-21),(20,13),(21,-14)} what is the domain and range ​

Answers

Answer:

Step-by-step explanation:

The domain: { - 25, - 3, 20, 21, 23 }

The range: { - 21, - 14, 4, 8, 13 }

An agent was able to sell a house and loth worth P2,300,000,00 if he was given a 5% commission.How much did he receive.
pls have solution :D​

Answers

Answer:

I am not sure what the P is.

2,300,000,00. X 5% = $115,000,000. Commission

Step-by-step explanation:

A 3-inch candle burns down in 4 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context

Answers

use this equation:

b+t+3+4

round to the nearest thousandth
7500.98052
12 points **

Answers

Wouldn’t it be 7,500.981 ?

12 POINT HURRY PLEASE

Answers

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]

If x approaches -∞;

[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]

If x approaches +∞;

[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]

Note: I'm taking my infinite value to be 1,000

What fraction is equivalent to 4/3?

Answers

8/6
16/12
40/30


if you divide the first one by 2 you will get 4/3

If you divide the second one by 4 you will get 4/3

The last one if you divide it by 10 you will get 4/3

Divide 63.5 ÷ 0.25 round the quotient to the nearest ten-thousandth

Answers

Answer:

254

Step-by-step explanation:

63.5 ÷ 0.25 =

= 63.5 ÷ 1/4

= 63.5 × 4

= 254

Answer: 254.

Trey wants to earn more than $89 trimming trees. He charges $8 per hour and pays S7 in equipment fees. What are the possible numbers of hours Trey could
trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

Answer:

11 hours

Step-by-step explanation:

8t + 7 > 89

8t > 81 : subtract 7 from both sides

t > 10.125 : divide by 8 for both sides

t = 11 : estimate

Trey has to work 11 hours because 10 hours would only give him $87.

X=[-1,+∞),Y=R,f(x)=y sao cho y^2-2y=x∀x∈X

Answers

Answer:

30

Step-by-step explanation:

sh well cm to cm et FL to

5(x - 2) + x = 6(x -4)

Answers

Answer:

No solution

Step-by-step explanation:

[tex]5(x - 2) + x = 6(x -4)[/tex]

[tex]6x-10=6x-24[/tex]

[tex]6x-10+10=6x-24+10[/tex]

[tex]6x=6x-14[/tex]

[tex]6x-6x=6x-14-6x[/tex]

[tex]0=-14[/tex]

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