you drink one fourth of a pitcher of Kool-Aid your friend drinks 7/12 of the pitcher what fraction of the pitcher do you and your friend drink

Final answer:

To find the ratio of the car's length to the model's length, first convert the car's length to inches (120 inches), then compare it to the model's length (7 inches), which gives a ratio of 120 : 7.

Explanation:

The question asks for the ratio of the length of the car to the length of the model. First, it's essential to convert both measurements to the same unit for an accurate comparison. The car is 10 feet long, and since 1 foot equals 12 inches, the car's length in inches is 10 feet × 12 inches/foot = 120 inches. The model is 7 inches long. Therefore, the ratio of the length of the car to the length of the model is 120 inches to 7 inches, which simplifies to 120 : 7.

5 gallons is 40 pints.

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she gets 145 every week, but paid every other week

 so 145 *2 = 290

 her pay check will increase by $290

The five staple convenience goods are:

Food items,

Petrol,

Detergents,

Drinking water, and

Fruits.

Staple convenience goods are those items that are purchased by consumers on a regular basis because they are constantly used by them.

These items are readily available nearby a domestic environment because they are always on a high demand by consumers.

These goods listed above are called staple convenience goods because they share some common features which include:

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The rate at which the radius of the water is decreasing when the depth is 4 cm is 0.6949 cm/hr.

To find the rate at which the radius of the water is decreasing, we can use the chain rule from calculus. Let's denote the depth of the water as 'h' and the radius as 'r'. We are given that the water level drops at a rate of 0.1 cm per hour, so dh/dt = -0.1 cm/hr. We want to find dr/dt when h = 4 cm. Using the formula for the volume of a cone, V = (1/3)πr^2h, we can find the relationship between r and h: r = √((3V)/(πh)). Taking the derivative of this equation with respect to time, we have: dr/dt = (√((3V)/(πh)))' = -(3/2)(√((3V)/(πh^3)))(dh/dt). Plugging in the given values and solving for dr/dt when h = 4 cm, we get:

dr/dt = -(3/2)(√((3(350))/(π(4)^3)))(-0.1) = 0.6949 cm/hr

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The solution of graphed equations is the point of intersection of the equations.

The ordered pair that represent the solution is [tex]\mathbf{(b)\ (2, 0)}[/tex]

From the graph, we have the following highlights.

So, the coordinates are 2 and 0

Hence, the ordered pair that represents the solution is [tex]\mathbf{(b)\ (2, 0)}[/tex]

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The rate of change implies that the city's haircut prices are consistently going up over time.

The given linear function is c=2y+29, where c represents the average cost of a haircut y years after 1995.

The slope of the linear function, 2, reflects the rate of change in the average cost of a haircut over time.

This means that for each year after 1995, the average cost of a haircut increases by $2. In other words, the slope indicates that the cost of haircuts is rising at a constant rate of $2 per year. This steady increase implies that the city's haircut prices are consistently going up over time.

The positive slope signifies that the average cost is consistently moving upward as the year progresses. Customers can expect to pay, on average, $2 more for a haircut each year compared to the previous year.

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The slope of the linear function c = 2y + 29 is 2, indicating that the average cost of a haircut increases by 2 units for every 1 increase in the number of years after 1995.

The slope of a linear function represents the rate of change. In the given linear function c = 2y + 29, the slope is the coefficient of y, which is 2. This means that for every 1 increase in y (number of years after 1995), the average cost of a haircut will increase by 2 units.

Answer: They can plant 250 flowers.

Step-by-step explanation:

Given : The dimension of the rectangular garden = 25-cm-by-10 cm

[i.e. length by width]

Area of rectangle = length x width

⇒ Area of rectangular garden = 25 x 10 = 250 square centimeter .

Area required by each flower =  1 square centimeter

Then, the number of flowers they can plant = [tex]\dfrac{\text{Area of garden}}{\text{Area of needed by each flower}}[/tex]

[tex]=\dfrac{250}{1}=250[/tex]

Hence, they can plant 250 flowers.

Answer:

The answer is $1890.

Step-by-step explanation:

Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax)

While employers paid another 6.2%.

So, someone earning $45000, will pay [tex]0.042\times45000=1890[/tex] dollars in FICA.

The question says only individual. The earnings are exclusive to employees, so they will only pay from earnings. The employer will not pay from employee's earnings.

The answer is $1890.

The number of earnings towards social security should be $1,890.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 4.2\% \times \$45,000[/tex]

= $1,890

Therefore we can conclude that the number of earnings towards social security should be $1,890.

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The generic form of straight line consisting of slope and y intercept  is given by

y = mx + c

Where 'm' is the slope of the straight line  and 'c' is the y-intercept

In the problem, it is given that slope of the line is 2/3 and y intercept is -2 :

m = ²/₃

c = -2

By putting these values in the equation above, we get:

y = ²/₃x - 2

Hence, the second option is correct.  

Hope it helps ..!!

Thank you :)

Answer:

[tex]\large\boxed{551.5\%=5\dfrac{103}{200}}[/tex]

[tex]\large\boxed{0.5\%=\dfrac{1}{200}}[/tex]

[tex]\large\boxed{350\%=3\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\\\\27)\ 551.5\%=\dfrac{551.5}{100}=\dfrac{551.5\cdot10}{100\cdot10}=\dfrac{5515}{1000}=\dfrac{5515:5}{1000:5}=\dfrac{1103}{200}=5\dfrac{103}{200}\\\\29)\ 0.5\%=\dfrac{0.5}{100}=\dfrac{0.5\cdot10}{100\cdot10}=\dfrac{5}{1000}=\dfrac{5:5}{1000:5}=\dfrac{1}{200}\\\\31)\ 350\%=\dfrac{350}{100}=\dfrac{35}{10}=\dfrac{35:5}{10:5}=\dfrac{7}{2}=3\dfrac{1}{2}[/tex]

To determine how long it will take for $4000 to grow to $10000 with an interest rate of 9% compounded monthly, we can use the formula for compound interest and solve for t. The time t is approximately 7.17 years.

To find out how long it will take for $4000 to grow to $10000 at an interest rate of 9% compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = total amount after time t
P = principal amount (initial deposit)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years

By plugging in the given values, we can solve for t:

$10000 = $4000(1 + 0.09/12)^(12t)

Dividing both sides by $4000, we get:

2.5 = (1 + 0.0075)^(12t)

Taking the natural logarithm of both sides, we have:

ln(2.5) = ln(1.0075)^(12t)

Using logarithmic properties, we can isolate t:

12t = ln(2.5) / ln(1.0075)

t = ln(2.5) / (12 * ln(1.0075))

Calculating the value of t, we find that it will take approximately 7.17 years for the account to reach $10000.

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Increasing the sample size by a factor of 4 or multiplying it by 4 is equal to increasing the standard error by 1/2.  Therefore, the interval will be half as varied.  This also works almost for population averages as lengthy as the multiplier from the t-curve doesn't modify much when increasing the sample size.

We can see that

when it is extrapolated

The curve is going downward

and it is till it touches temperature axis

so, we can find point there

It intersects at temperature =-280C

Since, it is x-intercept

so, y will be 0 at that point

so, Volume will be 0 when temperature is -280C

and this is absolute zero definition of volume function

so, Absolute zero.........Answer

if the function is mirrored about the y axis, it is even

 use -x in place of x and compare the equations

lets use 2 for x

 so given formula would be 5-3(2) = 5-6 = -1

replace x with -x you would have 5-3(-2) =5-(-6) = 5+6 =11

since -1 does not = 11 the function is neither

even =f(x), odd = -f(x), neither f(x) doesn't equal -f(x)

example of odd:

f(x) = x^5 +x, replace x with -x

f(-x) = (-x)^5 +-x

=-x^5-x

=-(x^5+x)

=-f(x)

ODD

Example of even:

f(x) = 1-x^4

f(-x) = 1-(-x)^4

=1-x^4

=f(x)

EVEN

Example of Neither:

f(x) = 2x-x^2

f(-x) = 2(-x)-(-x)^2

=-(2x+x^2)

does not equal f(x)

NEITHER

Answer:

C!!

Smallville by a factor of 1.13

Bigville --

571,533 - 387,480

387,480

= 47.5%

Smallville -- 53.67

Thus,

53.67

47.5

= 1.129