3 72/120 rounded to the nearest half

Answer:

3 : 4

Step-by-step explanation:

meat : tomatoes

= 1.5 : 2 ( multiply both parts by 2 )

= 3 : 4

Step-by-step explanation:

it's 54 ounces.........

Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

slope of parallel line: 2

y = 2x + b

1 = 2(6) + b

1 = 12 + b

b = -11

equation of parallel line: y = 2x -11

Solution:

Since the original line is parallel to y = 2x + 5, the original line's slope must be 2.

Using point slope form:

The equation of a line that is parallel to y = 2x + 5 and goes through the point (6, 1) is y = 2x - 11.

Answer:

Step-by-step explanation:

1 loaf = 8 eggs

32 loaves will need 32*8 eggs or 256 eggs

Answer:

69°

Step-by-step explanation:

4x3 = 12

81 - 12 = 69

69°

Answer:

  Yes

Step-by-step explanation:

You want to know if y = 3/(x+3) defines y as a function of x.

A function is a relation that gives a single output value for each input value. Here, the relation y=3/(x+3) does exactly that.

Yes, the given equation defines y as a function of x.

__

Additional comment

The function is undefined for x=-3, so that value is excluded from the domain, the set of possible inputs.

The pair of ratios that does not form a proportion is 103/24 and 5/40.

To check if two ratios form a proportion, we need to simplify them to their simplest form and compare them. If the two ratios are equal after simplification, then they form a proportion.

In this question, we are given five ratios: 103/24, 5/40, -30/15, 10/5, and 3/S.

To simplify the first ratio, we can divide both the numerator and denominator by their greatest common factor, which is 1. Therefore, the simplified form of 103/24 is 4.29 (rounded to two decimal places).

To simplify the second ratio, we can also divide both the numerator and denominator by their greatest common factor, which is 5. Therefore, the simplified form of 5/40 is 0.125.

When we compare these two simplified ratios, we can see that they are not equal. Therefore, the pair of ratios that does not form a proportion is 103/24 and 5/40.

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Which pair of ratios does NOT form a proportion?

103 24

5 40

-30 15

10 5

3 S

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer:

Step-by-step explanation:

The better buy is the one where you get more area of pizza per dollar (area/price).

Since the problem gives diameter, we assume the pizzas are circle-shaped.

Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.

*************************************************************************************

Pizza 1: d = 8 and price is $10

r = 1/2 x d = 4

Area of Pizza 1 = πr² = π(4)² = 16π

*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar

**********************************************************************************

Pizza 2: d = 14 and price is $16

r = 1/2 x d = 7

Area of Pizza 2 = πr² = π(7)² = 49π

*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar

***********************************************************************************

Pizza 2 is the better buy, with more pizza per dollar.

Answer

On the seventh day, 93,312 mails need to be sent.

Explanation

This question has a setup of a geometric progression.

The general form of a geometric progression is

aₙ = a rⁿ⁻¹

where

aₙ = nth term

a = first term = 128

r = common ratio = 3

n = number of days

So, for this question,

aₙ = a rⁿ⁻¹

aₙ = 128 (3ⁿ⁻¹)

On the first day, n = 1

aₙ = 128 (3ⁿ⁻¹)

a₁ = 128 (3¹⁻¹)

a₁ = 128 (3⁰) = 128 (1) = 128

On the seventh day, n = 7

aₙ = 128 (3ⁿ⁻¹)

a₇ = 128 (3⁷⁻¹)

a₇ = 128 (3⁶) = 128 (729) = 93,312

Hope this Helps!!!

Answer:

I think it d≥40

Step-by-step explanation:

Probally is d≥40

The inequality equation of the total amount in dollars that Elena spends on supplies is d ≥ 40.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

Elena is planning to go camping for the weekend and has already spent $40 on supplies. She goes to the store and buys more supplies.

Let d be the total amount. Then we have

d ≥ 40

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Answer:

0.48

0.52

No

Yes

Step-by-step explanation:

Result of experiment :

Point up = 48

Point down = 52

Total number of trials = 100

Recall :

Experimental probability = number of outcomes / number of trials

1.)

P(Landing point up) = 48 / 100 = 0.48

2.)

P(Landing point down) = 52 / 100 = 0.52

3.)

The same result will not occur has the outcomes of trials aren't fixed.

4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.

Answer: y= -1

Step-by-step explanation:

2+y=1  

y=1-2

y=-1

Answer:

x=1.2 and y= -2.8

Step-by-step explanation:

x-4=6x-10

-4=5x-10

6=5x

x=6/5 or 1.2

y=x-4

y=1.2-4

y= -2.8

Answer:

He is going to tip 17$

Step-by-step explanation:

Given :-

Mrs. Smith left a 20% tip for a dinner that cost $85.

To find :-

About how much tip did Mrs. Smith leave?

Solution :-

The tip is 20% of $85

• Calculating 20% of $85

$ 85 * 15%

$ 85* 15/100

$ 12.75

Answer

f(h(-3) = 23

Explanation:

Given that

f(x) = 5x - 10

g(x) = 1/3x - 1

h(x) = x^2 + 4x

Find f(h(-3))?

Firstly, substitute the function of h(x) into f(x)

f(h(x) = 5(x^2 + 4x) - 10

f(h(x) = 5x^2 + 4x - 10

f(h(-3)) implies that substitute x with 3

f(h(-3)) = 5(-3)^2 + 4(-3) - 10

f(h(-3)) = 5(9) + 4(-3) - 10

f(h(-3) = 45 - 12 - 10

f(h(-3) = 23

Answer:

13

Step-by-step explanation:

because thats how u get to 13

Answer:

0.035 kg

Step-by-step explanation:

(0.07 kg / 1 litre) x (0.5 litre)

= 0.035 kg

Notice how the units of litres cancel and all you are left with is units of kg which is what we want. Another way of solving this problem is via logic. If 1 litre of water is needed for 0.07 kg salt, then half a litre of water (0.5) would need half of the amount needed by 1 litre water so (0.07/2) = 0.035 kg

Answer:

$669.60

Step-by-step explanation:

item with an original price tag of $775.00 that is marked down by 20% will have a sales price of $620.00 plus 8% tax

Answer:

B.50.24

8ft is equivalent to 64ft²

Answer:

50.24

Step-by-step explanation:

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Given that the area of the region bounded by the curve f(x) and x-axis from x=4 to x=10 is 13/5, the average value of the negative-valued function y=f(x) over the interval [4,10] is -13/30.

The average value of a function f(x) over an interval [a,b] is given by:

average value = (1/(b-a)) * integral from a to b of f(x) dx

In this case, we are given that the function y=f(x) is negative-valued, and the area of the region bounded by the curve and x-axis from x=4 to x=10 is 13/5. This means that the integral of f(x) over the interval [4,10] is equal to -13/5:

\(\int\limits^{10}_4 \, f(x) dx\) = -13/5

To find the average value of f(x) over this interval, we divide this integral by the length of the interval:

average value = (1/(10-4)) * \(\int\limits^{10}_4 \, f(x) dx\)

             = (1/6) * (-13/5)

             = -13/30

Therefore, the average value of the negative-valued function y=f(x) over the interval [4,10] is -13/30. This means that if we were to draw a horizontal line at the height of -13/30 over the interval [4,10], the area between this line and the x-axis would be equal to the area of the region bounded by the curve f(x) and x-axis over the same interval.

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Answer:

\(\sqrt{x^2 + y^2}\)

Step-by-step explanation:

to find diatance between AB

A(0 , 0) = (x1 , y1)

B(x , y) = (x2 , y2)

distance formula = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

=\(\sqrt{(x - 0)^2 + (y - 0)^2}\)

=\(\sqrt{x^2 + y^2}\)

The solution to the system of equations are x = -6, y = 2.The correct answer is option C.

To find the solution to the system of equations, we can graph the two equations and determine the point of intersection, if any. The options provided are:

A. No solution

B. x = 13/12, y = -3/4

C. x = -6, y = 2

D. More than 1 solution

First, let's rearrange the equations in slope-intercept form (y = mx + b):

Equation 1: 4y + 12x = 10

4y = -12x + 10

y = (-3x/1) + (5/2)

Equation 2: 2y - 6x = -8

2y = 6x - 8

y = (3x/1) - 4

Now we can graph these equations and look for the point of intersection:

Upon graphing the equations, we find that they intersect at the point (x = -6, y = 2). Thus, the correct answer is C. x = -6, y = 2.

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To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

  $6,200

Step-by-step explanation:

  6.2% of $100,000 is

  $100,000 × 0.062 = $6,200

Janine paid $6,200 in Social Security taxes for 2018.

Answer:

Step-by-step explanation:

The social security portion of the FICA tax is calculated as 6.2% of the first $128,400 gross earnings. Since Janine's gross earnings are less than this amount, her entire gross earnings are subject to the Social Security tax.

$100,000×0.062= $6,200

Thus, $6,200 will be deducted from Janine's paychecks over the course of 2018.

The smallest class interval is 26.6

To get the class interval we would have to make use of the formula

upper class interval - lower class interval / 5

= 215 - 82 / 5

= 26.6

The reason why we made use of 5 in the division is because the question tells us that we are to make use of 5 classes.

This is the term that is used to refer to the existing width that lies between two data points or two intervals.

Hence we can conclude that the smallest class interval is 26.6

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