3/4 + ( 1/3 divided by 1/6 ) - (-1/2)

Answer:

the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively

Step-by-step explanation:

The computation of the amount of outstanding checks at the closing of Nov and dec is as follows

Particulars             November        December

Written checks     $10,310              $11,785

Less:

Presented checks  -$8,580            -$10,770

Outsanding checks $1,730              $1,015

Hence, the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively

Answer:

Right

Step-by-step explanation:

Answer: Two equilateral triangles are always similar.

Step-by-step explanation:

The linear function that predicts the number of calculators sold per week (y) at a price of x dollars is, y = -400x + 46,000

To determine a linear function that predicts the number of calculators sold per week at a certain price, we can use the given information. Let's assign "x" as the price of the calculator and "y" as the number of calculators sold per week.
We have two data points:
At a price of $90, 10,000 calculators are sold per week.
At a price of $85, 12,000 calculators are sold per week.
Using these two points, we can find the slope of the linear function:
Slope (m) = (change in y) / (change in x)
= (12,000 - 10,000) / (85 - 90)
= 2,000 / -5
= -400
Now, let's use one of the data points to find the y-intercept (b):
Using the point (x, y) = (90, 10,000):
y = mx + b
10,000 = -400(90) + b
10,000 = -36,000 + b
b = 46,000
For more related questions on linear function:

https://brainly.com/question/21107621

#SPJ8

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

For similar questions on equation

https://brainly.com/question/17145398

#SPJ11

Answer:

Hypotenuse of 10

Step-by-step explanation:

The Pythagorean Theorem is \(a^{2} +b^{2} = c^{2}\)

So let's plug in the numbers!

\(8^{2} +6^{2} = c^{2}\)

Let's start the squaring (8*8 and 6*6)

\(64 + 36 = c^{2}\)

Add the numbers to simplify

100 = \(c^{2}\)

To reverse/invert a number that is squared, all you have to do is to take the square root of the number. But we have to do the same operations on both sides of the equation.

\(\sqrt{100} =\sqrt{c^{2} }\)

We can simplify, and the square of c cancels because of the square root, leaving us with:

10 = c

Answer:

V (0,4)

Step-by-step explanation:

V(-1, -1)

V (x, y)

V (-1 +1, -1 +5)

V (0, 4)

Hope this helps

14

This should be right!

Answer:

A. 60 because 70 +50 =120 and 180 - 120 is 60 so your answer is 60

Step-by-step explanation:

60

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Answer:

1800 in^3

Step-by-step explanation:

The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

For similar question on pair:

https://brainly.com/question/29122030

#SPJ11

The value of f(a + 2) is 3(a + 7)

The function is given as:

f(x) = 3(x+5)

Next, we substitute a + 2 for x in the above equation

f(a + 2) = 3(a + 2 + 5)

Evaluate the like terms

f(a + 2) = 3(a + 7)

Hence, the value of f(a + 2) is 3(a + 7)

Read more about functions at:

https://brainly.com/question/2456547

#SPJ1

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

so basacilly the answer to all of the question is a

Step-by-step explanation: you welcome!

An equation that will produce the graph shown above include the following: D. 5x² + 5y² = 80.

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided above, we have the following parameters:

Radius, r = √16 = √80/5

Center, (h, k) = (0, 0).

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = (√80/5)²

5x² + 5y² = 80.

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ1

Answer:

Step-by-step explanation:

You've plotted 3 points where x = 0, 1 and 2

= where y = 1, 1 1/2 and 9/4

They are correct.

I suggest you plot 1 more where x = -1 and another where x = 3

Where x = -1 , y = (3/2)^-1 = 2/3.

x = 3 , y = (3/2)^3 = 27/8 = 3 3/8.

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

Learn more about idea of proportionality here : brainly.com/question/870035

#SPJ1

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

Answer:

y = 2x + 5

Step-by-step explanation:

Missing part:

What is the probability that an international flight leaving the US is delayed in departing given that the flight is a transpacific flight?  

Answer:

\(P(D|P) = 0.50\)

Step-by-step explanation:

Given

\(P(D) = 0.26\)

\(P(P) = 0.50\)

\(P(D\ and\ P) = 0.13\)

The question illustrates conditional probability and it is represented as:

P(D|P)

This is then calculated as:

\(P(D|P) = \frac{P(D\ and\ P)}{P(D)}\)

So, we have:

\(P(D|P) = \frac{0.13}{0.26}\)

\(P(D|P) = 0.50\)

Answer:0.26

How did i get that answer you ask?

i divide

Answer:

The equation \(4\cdot x^{2} + 20\cdot x + 25 = 0\) is equal to \(\left(x + \frac{5}{2} \right)^{2} = 0\).

Step-by-step explanation:

Let be the equation \(4\cdot x^{2} + 20\cdot x + 25 = 0\), we proceed to rewrite the equation solely by algebraic means:

1) \(4\cdot x^{2} + 20\cdot x + 25 = 0\) Given

2) \((2\cdot x)^{2} + 10\cdot (2\cdot x) + 25 = 0\) Definition of power/Associative property

3) \((2\cdot x + 5)^{2} = 0\)   Perfect square trinomial

4) \(2^{2}\cdot \left(x + \frac{5}{2} \right)^{2} = 0\) Distributive property/\((a\cdot b)^{c} = a^{c}\cdot b^{c}\)

5) \(4\cdot (x + \frac{5}{2} )^{2} = 0\) Definition of power

6) \(\left(x + \frac{5}{2} \right)^{2} = 0\) Compatibility with multiplication/Commutative and modulative properties/\(a\cdot 0 = 0\)

The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

To know more about  Alphabetical order.

https://brainly.com/question/27870403

#SPJ11

In respοnse tο the presented questiοn, we may state that Therefοre, the equatiοn distance between the cars is 5 miles.

Mathematicians use the term "equation" tο denοte a claim that twο expressiοns are equal. A mathematical equatiοn (=) separates each οf an equatiοn's twο sides. As an illustratiοn, the claim that the phrase "2x plus 3 equals 9" is made by the argument "2x + 3 = 9." The gοal οf equatiοn sοlving is tο identify the value οr values οf the variable(s) necessary fοr the equatiοn tο hοld true.

Equatiοns can be simple οr cοmplicated, linear οr nοnlinear, and cοntain οne οr mοre elements. The secοnd pοwer οf the equatiοn "x² + 2x - 3 = 0" is raised tο include the variable x. Mathematical disciplines like algebra, calculus, and geοmetry all make use οf lines.

The equatiοn 4x-10=2x represents twο cars traveling in οppοsite directiοns,

the distance,

\($\begin{array}{c}{{4x-10=2x}}\\{{2x=10=0}}\\ {2x=10\\{x=5}}\end{array}$\)

Therefore, the distance between the cars is 5 miles.

To know more about equation visit:

https://brainly.com/question/29538993

#SPJ1

Answer:

You just find the volume of the cup and subtract the volume of the froth (whatever that is).

V(cup) = pi * r^2 * h

...........= pi * 4.3^2 * 11.2

...........= 650.586cm^3

V(froth) = pi*r^2*h

............= pi*4.3^2*0.4

.............=23.232cm^3

V(hot chocolate) = V(cup) - V(froth)

.........................= 650.586 - 23.232

.........................= 627cm^3

Answer:

Step-by-step explanation:

The BAC (Blood Alcohol Concentration) of a person depends on several factors, such as the amount of alcohol consumed, the time over which the alcohol was consumed, and the weight and gender of the person. For this problem, we will assume that the woman has a normal metabolism and that the alcohol is completely absorbed into her bloodstream.

To calculate the BAC at 8 pm, we need to know the amount of alcohol that the woman consumed and the time over which she consumed it. We are given that she had 2 mixed drinks between 7-8 pm, which contained a total of 2 ounces of liquor. We are also given that she had a glass of wine at 10 pm, but we don't need to consider this for the BAC at 8 pm.

Using the Widmark formula, we can calculate the BAC at 8 pm:

BAC = (Alcohol consumed / (Body weight x r)) - (0.015 x Hours since first drink)

where r is the gender constant (0.55 for females) and 0.015 is the rate at which the liver metabolizes alcohol.

Plugging in the values we know, we get:

BAC = (2 oz / (130 lbs x 0.55)) - (0.015 x 1 hour)

BAC = 0.0208 - 0.015

BAC = 0.0058

Therefore, the woman's BAC at 8 pm was approximately 0.0058, which is below the legal limit for driving in most states in the US.

Answer:

\(17x + 5 < 22 \\ 17x < 22 - 5 \\ 17x < 17 \\ x < 1\)