A balloon with a small leak loses 1% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week (7 days)? Round your answer to the nearest tenth.

a whole, fraction wise, is always 1, so in this case we're looking at a whole of 5/5 = 1, and she withdrew 3/5, so what remained is 2/5

[tex]\cfrac{5}{5}\qquad \qquad \cfrac{5}{5}-\cfrac{3}{5}\implies \cfrac{5-3}{5}\implies \cfrac{2}{5}~\hfill 350\left( \cfrac{2}{5} \right)\implies \boxed{140}[/tex]

Answer:

Pasos para resolver una ecuación lineal

x⋅−0.9+1.1=−5.19

Resta 1.1 en los dos lados.

x(−0.9)=−5.19−1.1

Resta 1.1 de −5.19 para obtener −6.29.

x(−0.9)=−6.29

Divide los dos lados por −0.9.

x=

−0.9

−6.29

​

Expanda  

−0.9

−6.29

​

 multiplicando el numerador y el denominador por 100.

x=

−90

−629

​

La fracción  

−90

−629

​

 se puede simplificar a  

90

629

​

 quitando el signo negativo del numerador y el denominador.

x=

90

629

Step-by-step explanation:

Answer:

1.

Step-by-step explanation:

Reflection does not change the shape, just the orientation of the shape, also keeping the same size.

Dilation keeps the same shape, but changes the size.

same shape but different size is considered similar.

Answer:

The answer is number 1!!! Hope this helps!!!

Step-by-step explanation:

An expression has numbers, variables, and mathematical operations. The expression that represents the profit made by the organization is 5x-200.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the profit is the difference between the revenue and cost. Therefore, the expression that represents the profit can be written as,

[tex]\rm Profit = Revenue - Cost[/tex]

        [tex]= (3x^2+4x-60)-(3x^2-x+200)\\\\= 3x^2+4x-60-3x^2+x-200\\\\=5x-260[/tex]

Thus, the expression that represents the profit made by the organization is 5x-200.

Learn more about Expression:

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Answer:

5 ^ 36  miles

Step-by-step explanation:

5^22 m/hr   *  5^14 hr =  5^(22+14) miles = 5^36

Answer:

You were already correct! Good job :)

Step-by-step explanation:

1) False

2) True

3) True

4) False

Answer:

0.736 radians

Step-by-step explanation:

Assuming you want the measure of this 42-degree angle in radians, multiply 42 degrees by the conversion factor

 1 rad

--------------

57.1 deg

The result:  42 degrees = 42/57.1 radians ≈ 0.736 radians

Answer:

Just do,

Step-by-step explanation:

(X x Z) = Y

(X/Z) = Y

Answer:

A fraction equivalent to 4/4 is 8/8 and 9/9 and 10/10 and 11/11 and 12/12 and 16/16 To answer this question, first of all, we should know that the equivalent fractions of a number or value are the fractions having different numerators and denominators but when simplified they are all equal to the same value or number.

Step-by-step explanation:

hope this helps if not let me know

Answer:

8/8 , 12/12, 16/16

Given:

A fraction 4/4.

To find:

An equivalent fraction to a given fraction.

Solution:

A fraction equivalent to 4/4 is 8/8.

To answer this question, first of all, we should know that the equivalent fractions of a number or value are the fractions having different numerators and denominators but when simplified they are all equal to the same value or number.

There is no limit to equivalent fractions of a given number.

Now,

we have,

a fraction 4/4,

To get its equivalent fraction, we will multiply the same number in its numerator and denominator.

Let's multiply 2 in both numerator and denominator of 4/4.

We get

4x2/4x2 = 8/8

So, an equivalent fraction to 4/4 is 8/8.

In notice of this 12/12 and 16/16

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Answer:

Its B -15i+6j

Step-by-step explanation:

Answer:

L' = (3,9)

M'= (9, -6)

N'=(-3,-3)

O'=(-6, 18)

Step-by-step explanation:

I got those points multiplied by 3

Answer:

-27

Step-by-step explanation:

[tex]-110-(-83) = -110 +83=-27[/tex]

Answer:

Okay si the formula to find a trapzoid frame is 1/2 • H ( b1 + b2 )

Step-by-step explanation:

1. add the two bases

2. mutiply it by the height

3. divide it by 2

Answer:

2 and 5

Step-by-step explanation:

2*5 = 10 and +1 = 11

5*2 = 10 and +1 = 11

Answer:

it is 1 and 10

Step-by-step explanation:

1 x 10 = 10

and

1 + 10 = 11

Answer:

$1.35

Step-by-step explanation:

=> No. of roses in a dozen = 12

=> No. of roses in half dozen = 12/2 = 6

=> No. of roses in 2 1/2 dozen = 2(12)+6 =30

=> 30 roses costs for $40.50

=> Cost of single rose = 40.5/30 = $1.35

Answer:

It's Exponential.

because there is an exponent.

Answer:

B

In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

Answer:

2.22

Step-by-step explanation:

Answer:

O d. 720°

Step-by-step explanation:

The given polygon has 6 sides.

The sum of the interior angles can be found by the formula :

Answer: 4 yd, 130 in, 10ft

Step-by-step explanation:

So first you turn everything into inches

130 inches is already in inches.

4 yards = 12 ft

1ft = 12 in

12 *12 = 144 in

so 4 yards is 144 inches

10 ft = 12*10

12*10 = 120

so 10ft is 120 inches

144 inches is the greatest and 120 inches is the least.

The answer needs to be in the original form.

Answer:

what will be the price of the next model= 59,748

Step-by-step explanation:

7748 is 14.9% of 52000

Solution:

What is 14.9% of 52000?

Y is 14.9% of 52000

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 14.9% * 52000

Converting percent to decimal:

p = 14.9%/100 = 0.149

Y = 0.149 * 52000

Y = 7748

To find the price for the next model

7748 + 52000

=> 59,748

Answer:

26

Step-by-step explanation:

Semiperimeter is sum of all sides divided by 2

(12+16+24)/2 = 26

Answer:

25%

Step-by-step explanation:

Think about it like this: $24 multiplied by how much equals $30?

This in equation form would be [tex]24x=30[/tex]

To solve for x, divide both sides by 24: [tex]x=30/24[/tex] or [tex]x=5/4[/tex]

5/4 in percentage form would be 125%, so the dues increased by 25%

Answer:

y = -13/16

Step-by-step explanation:

Given:

0.8y+0.25= -0.4

To Find:

Solve for y

Solution:

Multiply both sides by 100

[tex]0.8y\cdot \:100+0.25\cdot \:100=-0.4\cdot \:100[/tex]

Simplify

[tex]80y+25=-40[/tex]

Subtract 25 from both sides

[tex]80y+25-25=-40-25[/tex]

Simplify

[tex]80y=-65[/tex]

Divide both sides by 80

[tex]\frac{80y}{80}=\frac{-65}{80}[/tex]

Simplify

[tex]y=-\frac{13}{16}[/tex]

Thus, y = -13/16

or in decimal form it equal y = -0.8125

~Lenvy~

Answer:

y = -13/16

Step-by-step explanation:

Given:

0.8y+0.25= -0.4

To Find:

Solve for y

Solve:

Multiply both sides by 100

0.8y ×100  + 0.25 × 100 = -0.4×100

Simplify

80y+25 = -40

      - 25   -25

----------------------

80y = -65

------  ------

80    80

y = -13/16

[RevyBreeze]

The expression which represents the side length of the square which has perimeter of 12x 52 units is 3x+12 units.

The measure of the boundary of the sides of a square is called its perimeter. The perimeter of a square is 4 times the side of the square.

[tex]P=4a[/tex]

Here, (a) is the side of the square.

A square has a perimeter of 12x +52 units. The perimeter of a square is 4 times the side of the square. Thus, the side of this square is,

[tex]P=4a\\12x +52=4a\\a=\dfrac{12x +52}{4}\\a=\dfrac{4(3x +12)}{4}\\a=3x+12[/tex]

Thus, the expression which represents the side length of the square which has perimeter of 12x 52 units is 3x+12 units.

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Answer:

800,000+90,000+4,000+200+10+17= 894,217

Eight Hundred thousand+ Ninety thousand+ Four thousand+ Two hundred+ Ten+ Seven= 894,217      

Step-by-step explanation:

Answer:

B: 27π units²

Step-by-step explanation:

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\begin{aligned}\implies \textsf{Area of a sector of a circle }& =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2\\ & = \dfrac13 \cdot \pi \cdot 81\\ & = 27 \pi\: \sf units^2\end{aligned}[/tex]

The area of the asked sector is 27π units².

A sector of a circle is a portion or part of a circle that is composed of an arc and its two radii.

Given that a circle L, we radius 9 and a central angle of 120°, we need to find the area of the sector, which is intercepted by the central angle,

So,

The area of a sector of a circle = central angle / 360° × area of the circle,

So,

A = 120°/360° × π × 9²

= 1/3π × 81

= 27π

Hence, the area of the asked sector is 27π units².

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#SPJ7

33.4°

[tex]AB=22tt[/tex]

[tex]BC=34tt[/tex]

[tex]AC=40ft[/tex]

[tex]cos\ C=\frac{AC^2+BC^2-AB^2}{2AC\bullet BC}[/tex]

[tex]=\frac{{40}^2+{34}^2-{22}^2}{2\times40\times34}[/tex]

[tex]=\frac{1600+1156-484}{2720}[/tex]

[tex]=\frac{2272}{2720}=\frac{71}{85}[/tex]

[tex]< c=arccos\left(\frac{77}{85}\right)\ \ \ \ \ \left\{\begin{matrix}the\ nearest\ tenth\\0.1\\\end{matrix}\right\}[/tex]

[tex]< C\thickapprox 33.4\textdegree[/tex]

[tex]Answer:33.4\textdegree[/tex]

I hope this helps you

:)

Answer:

14 feet

Step-by-step explanation:

So first you convert the 12 yards to feet; now you will get 36 feet. If she uses 22 feet, you subtract 22 from 36 to get the answer of 14 feet of ribbon

Answer:

60

Step-by-step explanation:

So deal with Judy then Harry

JUDY:

6 days x 4 t-shirts per day = 24 t-shirts

+ 7 t-shirts made before = 31 altogether

HARRY:

6 days x 3 t-shirts per day = 18 t-shirts

+ 11 t-shirts made before = 29 altogether

JUDY & HARRY:

Now combine both

31+29=60 t-shirts

Hope that helped! Any questions just ask! :)