Boyle's Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 5 L, the pressure is 304 kPa (kilopascals). What is the volume when the pressure is 80 kPa ?

If 24 people have the flue out of 360 people then out of 900, 60 people would have flue if solved through percentage.

It is a ratio expressed as a fraction of 100. it's expressed using the sign %.

The percentage of individuals gets affected from flue out of 360 is 24*100/360

=2400/360

=6.67%

Then per 6.67% out of 900 approx 60 (900*6.67%) people would be affected from flue.

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The area of the part of the tablecloth that hangs over the table is 285 square inches

Step-by-step explanation:

In order to find the area of table cloth that hangs over the table, we have to find the area of table and the total area of table cloth.

Given

Area of table = [tex]A_t = 2116\ in^2[/tex]

To find the side of the square

[tex]A_t = s^2\\s^2 = 2116[/tex]

Taking Square root on both sides

[tex]\sqrt{s^2} = \sqrt{2116}\\s = 46\ inches[/tex]

When the table cloth is hanged, 3 inches are left to hang over this means that the side will now be: 46+3 = 49 inches

The area of table cloth = [tex]A_c = 49*49 = 2401\ in^2[/tex]

The area of table cloth that will be hung over the table is:

[tex]A_c-A_t\\= 2401-2116\\= 285\ in^2[/tex]

Hence,

The area of the part of the tablecloth that hangs over the table is 285 square inches

Keywords: Square, side

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Answer:

c/9+6=14

9c=14-6

9c=8

c=8:9

c=1.125

Step-by-step explanation:

After solving this c/(-9+6) = 14 equation we get c = -42. To solve the equation c/(-9+6) = 14, we first simplify the expression inside the parentheses. (-9 + 6) equals -3.  

Therefore, the equation becomes c/(-3) = 14. To isolate the variable c, we multiply both sides of the equation by -3. This gives us c = 14 * (-3), which simplifies to c = -42.

Hence, the solution to the equation is c = -42. Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions and be cautious when dealing with negative signs in equations.

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Answer:

there would be 100 flowers in basket a

Step-by-step explanation:

for the second part of the ratio to be 40 you have to multiply the 2 by 20. to find out how many would be in basket a you do the same thing to the other side of the ratio and multiply 5 by 20 which gives you 100

Answer:

5

Step-by-step explanation:

Answer:

the scale factor is by what multiplier has a shape been increased by in size

Answer:x=-11

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

10 + 12 + 4 + 4 + 6 + 8 = 44

The perimeter of the figure is 26 inches.

The perimeter of the figure is the total length of all the sides. To calculate the perimeter, we simply add up the lengths of all the sides:

Perimeter = 6in + 4in + 4in + 12in

Perimeter = 26in

Therefore, the perimeter of the figure is 26 inches.

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Equation A:

6 + 3x = 3x - 3    

This equation has no solution, no matter what number you plug into the equation, it will never = each other

[if you tried simplifying more]

9 + 3x = 3x         (added 3 on both sides, then subtracted 3x on both sides)

9 = 0

Equation B:

2(4x - 1) = 8x - 2      Distribute/multiply 2 into (4x - 1)

(2)4x - (2)1 = 8x - 2

8x - 2 = 8x - 2      

This will have an infinite number of solutions because whatever number you plugged in, they would always = each other since they are the same on both sides of the equation

[simplified]

8x = 8x       (add 2 on both sides, then divide 8 on both sides)

x = x

Your answer is A

Equation A has no solution and Equation B has an infinite number of solutions.

The correct answer is D. Equation A and Equation B have no solution. Let's analyze each equation:

For Equation A, we can combine like terms and simplify it to:
6 + 3x = 3x - 3
6 = -3

Since 6 is not equal to -3, Equation A has no solution.

For Equation B, we distribute 2 to the terms inside the parentheses:
2(4x - 1) = 8x - 2
8x - 2 = 8x - 2

Both sides of the equation have the same expression, so Equation B is an identity. It means that for any value of x, both sides will always be equal. Therefore, Equation B has an infinite number of solutions.

Hence, the correct answer is D. Equation A and Equation B have no solution.

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Answer:

[tex]x=-7\pm8i[/tex]

Step-by-step explanation:

we have

[tex]x^{2} +14x+17=-96[/tex]

Equate to zero

[tex]x^{2} +14x+17+96=0[/tex]

[tex]x^{2} +14x+113=0[/tex]

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2} +14x+113=0[/tex]

so

[tex]a=1\\b=14\\c=113[/tex]

substitute in the formula

[tex]x=\frac{-14\pm\sqrt{14^{2}-4(1)(113)}} {2(1)}[/tex]

[tex]x=\frac{-14\pm\sqrt{-256}} {2}[/tex]

Remember that

[tex]i=\sqrt{-1}[/tex]

so

[tex]x=\frac{-14\pm16i} {2}[/tex]

[tex]x=-7\pm8i[/tex]

Answer:

its b on edge

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

25=50% so minus 5

Answer:

20

Step-by-step explanation:

Multiply 50 by 0.4

Answer:

the given statement is true.

Step-by-step explanation:

i) It is given that the base angles of an isosceles triangle each measure 37°.

ii) Adding the values of the base angles is = 37° + 37° = 74°

iii) from the property of triangles we know that the sum of all the angles in a triangle is equal to 180°

iv) let the vertex angle be = y°

v) Therefore we can say from ii), iii) and iv) above that

      74° + y° = 180°

vi) therefore the vertex angle y = 180° - 74° = 106°

Hence the given statement is true.

[tex]\frac{-1}{18}[/tex]

Solution:

Given expression is [tex]\frac{y}{3}=-6[/tex]

To find the inverse of y.

⇒ [tex]\frac{y}{3}=-6[/tex]

Do cross multiplication.

⇒ y = –6 × 3

⇒ y = –18

Inverse of y means reverse the function.

We know that inverse of y is [tex]\frac{1}{y}[/tex].

⇒ [tex]\frac{1}{y}= \frac{-1}{18}[/tex]

Hence, inverse of y is [tex]\frac{-1}{18}.[/tex]

Amanda must spend more than 8 minutes on Routine #1 to burn more calories than Routine #2.

Step-by-step explanation:

Routine # 1;

Calories burned in running = 15.5 per minute

Let,

t be the minutes spent running.

T = total calories burned

T = 15.5t

Routine # 2;

Calories burned while walking = 22 calories

Calories burned while running = 12.75 per minute

T = 12.75t + 22

For burning more calories in Routine 1;

Routine 1 > Routine 2

[tex]15.5t>12.75t+22\\15.5t-12.75t>22\\2.75t>22\\[/tex]

Dividing both sides by 2.75

[tex]\frac{2.75t}{2.75}>\frac{22}{2.75}\\t>8[/tex]

Amanda must spend more than 8 minutes on Routine #1 to burn more calories than Routine #2.

Keywords: linear inequality, division

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Jones family will travel for 311 miles on day 1 , 511 miles on day 2 and 236 miles on day 3.

It is given that on day 2 , Jones family travel for 200 miles more than day 1 and on day 3 for 75 miles less than day 1.

We have to find out distance travelled on each day of trip if total distance of trip is 1058 miles.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the questions ;

Jones family has a trip of 3 days.

Let's assume they travel distance of x miles on first day.

Distance they will travel on second day = x + 200 miles

Distance they will travel on third day = x - 75 miles

Total distance of trip = 1058 miles

i.e.,

x + (x + 200) + (x - 75) = 1058 miles

3x + 125 = 1058

3x = 1058 - 125

3x = 933

x = 311 miles

So , they travel for a distance of 311 miles on day 1.

&

On day 2 ;

= 311 + 200

= 511 miles

&

on day 3 ;

= 311 - 75

= 236 miles

Thus , Jones family will travel for 311 miles on day 1 , 511 miles on day 2 and 236 miles on day 3.

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Meredinth takes 24 minutes to reach her friend house

Solution:

Given that, Meredith lives 24 blocks from her friends house

She travels one block every minute

To find: time taken by Meredith to reach friend house

From given,

Number of blocks between Meredith house and her friedn house = 24

She travels one block every minute

Thus she takes 1 minute for 1 block

One block = 1 minute

So, for 24 blocks, we have to multiply by 24

[tex]24\ block = 1 \times 24\ minute\\\\24\ block = 24\ minute[/tex]

Thus Meredinth takes 24 minutes to reach her friend house

Answer:

[tex]\large\boxed{u^2+5u-6=0,\ where\ u=(x+2)}[/tex]

Step-by-step explanation:

[tex](x+2)^2+5(x+2)-6=0\\\\\text{Substitute}\ (x+2)=u:\\\\\underbrace{(x+2)}_{u}^{}^2+5\underbrace{(x+2)}_{u}-6=0\\\\u^2+5u-6=0[/tex]

Answer:

The answer is C

Step-by-step explanation:

Answer:

please show the figure

Step-by-step explanation:

Which figure lol looool

Answer:

0.515

Step-by-step explanation:

10 to the 3rd power is 10^3 = 1000 bricks.

The weight of the full truck minus the weight of the empty truck is the weight of the bricks:

6755-6240 = 515 pounds of bricks

Pounds per brick:

515 / 1000 = .515 pounds per brick.

The principal amount is 85227.27 and the interest is 64772.73.

Solution:

Given:

Amount (A)= 150000

Number of years (n)= 8

Rate of interest (r)= [tex]9\frac{1}{2}\%=\frac{19}{2}\%[/tex]

To find: The principal (P)

We know that the principal is the sum of amount and interest. That is, [tex]\bold{P+I=A}[/tex]

This can be written as [tex]\bold{I=A-P \rightarrow(1)}[/tex]

The formula of simple interest is [tex]\bold{I=\frac{Pnr}{100} \rightarrow(2)}[/tex]

On equating (1) and (2) we get,

[tex]\Rightarrow\bold{A-P=\frac{Pnr}{100}}[/tex]

On substituting the values we get,

[tex]\Rightarrow\bold{150000-P=\frac{P\times8\times19}{100\times2}}[/tex]

On solving we get,

[tex]\bold{\Rightarrow 150000-P=0.76P}[/tex]

On grouping the like terms together we get,

[tex]\bold{\Rightarrow 150000=0.76P+P}[/tex]

[tex]\bold{\Rightarrow 150000=1.76P}[/tex]

[tex]\bold{\Rightarrow P=\frac{150000}{1.76}}[/tex]

[tex]\bold{\Rightarrow P=85227.2727\approx85227.27}[/tex]

If principal is 85227.27, then the interest will be [tex]\bold{I=150000-85227.27\rightarrow64772.73}[/tex]

Answer: -41

Step-by-step explanation:

-7 × 5 = -35

-35 - 6 = -41

Answer:

-41

Step-by-step explanation:

The company should sell each widget for $28.25, to the nearest cent.

To maximize profit, we need to find the vertex of the parabola represented by the profit equation y = -2x^2 + 113x - 497. Since the coefficient of x^2 is negative, the parabola opens downwards, and the vertex represents the maximum point. The x-coordinate of the vertex of a parabola in the form of y = ax^2 + bx + c can be found using the formula -b/2a.

For the equation y = -2x^2 + 113x - 497, a = -2 and b = 113. Plugging these values into the formula gives us: x = -113 / (2 × -2) = -113 / -4 = 28.25. Therefore, to maximize profit, the company should sell each widget for $28.25, to the nearest cent.

To ensure safe chlorine levels in the pool, the inequality |Cl - 3.25| ≤ 1.75 must be met, representing levels between 1.50 ppm and 5.00 ppm. The lifeguard found the level at 1.0 ppm, which is below the safe range, so more chlorine needs to be added.

Absolute Value Inequality for Chlorine Levels:

The county government specifies that a safe level of chlorine is within 1.75 ppm of 3.25 ppm. We can express this using an absolute value inequality to represent the acceptable range for the chlorine levels: |Cl - 3.25| ≤ 1.75. This represents that the chlorine level (Cl) can be at most 1.75 ppm above or below 3.25 ppm.

To solve this inequality, we consider both the upper and lower bounds:

Therefore, the chlorine level must be between 1.50 ppm and 5.00 ppm.

Analysis of the Chlorine Level Measurement:

As the lifeguard measures the chlorine level in the pool at 1.0 ppm, it falls below the acceptable range established by the inequality. Consequently, the lifeguard should add more chlorine to bring the concentration up to within the safe range, specifically, at least to the minimum safe level of 1.50 ppm.

Answer:

  28

Step-by-step explanation:

  VZ = ZY

  2x +2 = 3x -4

  6 = x . . . . . . . . add 4-2x to both sides

  VZ = 2x +2 = 2(6) +2 = 14

Now we can find VY.

  VY = VZ + ZY = 14 + 14 . . . . . . VY is the total of the two halves

VY = 28

Answer:

17

Step-by-step explanation:

50

Use the distance formula Sqrt ( (x2-x1)^2 +(y2-y1)^2)

Distance = sqrt ( (-8 - -2)^2 +(4- -4)^2)

Distance = sqrt(-6^2 + 8^2)

Distance = sqrt ( 36 + 64)

Distance = sqrt(100)

Distance = 10

The length is 10

Answer: 10 units

Step-by-step explanation: took test hope this helps

p = 7 + 0.46x is the monthly cost for x text messages

Solution:

Given that, A text message plan costs $7 per month plus $0.46 per text

To find: Monthly cost for "x" text messages'

Let "x" be the number of text messages in a month

From given information,

text message plan cost per month = $ 7

Cost for 1 text = $ 0.46

Let "p" be the Monthly cost for "x" text messages

Then, we get,

p = text message plan cost per month + (Cost for 1 text)(number of text messages in a month)

[tex]p = 7 + 0.46x[/tex]

Thus the monthly cost for x text messages is found

Answer:

The Three expressions that have a sum or difference of 3 /4 .

B . 11/12 − 1/6

C. 3/5 + 3/20

E . 2/3 + 1/12

Step-by-step explanation:

The Three expressions that have a sum or difference of 3 /4 .

are

B . 11/12 − 1/6

[tex]\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{1\times 2}{6\times 2}\\\\\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{2}{12}=\dfrac{11-2}{12}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{3}{4}[/tex]

C. 3/5 + 3/20

[tex]\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3\times 4}{5\times 4}+\dfrac{3}{20}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{12}{20}+\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3}{4}[/tex]

E . 2/3 + 1/12

[tex]\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{2\times 4}{3\times 4}+\dfrac{1}{12}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{8+1}{12}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{3}{4}[/tex]

Expressions B (11/12 − 1/6), C (3/5 + 3/20), and E (2/3 + 1/12) each simplify to a sum or difference of 3/4 after finding a common denominator and simplifying the fractions.

To find 3 expressions that have a sum or difference of 3/4, let's evaluate each option given:

Therefore, the three expressions that have a sum or difference of 3/4 are B, C, and E.