Answer: 9
Step-by-step explanation:
[tex]\displaystyle\\6\div\frac{2}{3}=\\\\ 6*\frac{3}{2}=\\\\ \frac{(6)(3)}{2}=\\\\ \frac{(2)(3)(3)}{2} =\\\\(3)(3)=\\\\9[/tex]
Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. Instead, she entered the full-time workforce four years earlier than her peers who went to college. During those four years, she earned a total of $90,000. However, without a college degree, Katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. What was the long-term financial cost of Katya deciding to not attend college?
Answer: $310,000
Step-by-step explanation:
In 40 additional years, the amount she made less than her college counterparts was;
= 10,000 * 40
= $400,000
She however made $90,000 more than them as they went to college;
= 400,000 - 90,000
= $310,000
The long-term financial cost was $310,000.
Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $5.50 per hour. Waitress B is offering her services for an initial $24 in addition to $4.50 per hour. When will the two waiters charge the same amount of money?
Answer:
The indifference point is 4 hours.
Step-by-step explanation:
Giving the following information:
Waiter A:
Fixed cost= $20
Unitary variable cost= $5.5 per hour
Waiter B:
Fixed cost= $24
Unitary variable cost= $4.5
First, we structure the total cost formula for each waiter:
Waiter A= 20 + 5.5*x
Waiter B= 24 + 4.5*x
x= number of hours
Now, we equal both formulas and isolate x:
20 + 5.5x = 24 + 4.5x
1x = 4
x= 4
The indifference point is 4 hours.
Prove:
Waiter A= 20 + 5.5*4= $42
Waiter B= 24 + 4.5*4= $42
What is the solution of x/3 - 5=4? Justify each step.
Answer: x=27
Step-by-step explanation: hope this helps!
The ratio of a screen's width to its height is 3:2. The height of the screen is 24 cm. What is its width in centimetres (cm)?
Answer:
36 cm
Step-by-step explanation:
3:2 = ?:24
24 / 2 = 12
12 * 3 = 36
Width = 36
The maximum number of running shoe inserts that can
be produced is
At possibility B, pairs of running shoe inserts can
be produced
At possibility D, pairs of hiking boot inserts can
be produced.
Answer:
15 12 6
Step-by-step explanation:
edg
Help me pls I beg you pls help me need answer I’m around 10 mins pls helpASAPP
Answer:
-1, 1, 3, 5, 7, 9
Just replace x in the equation y=2x+3 with the values given in the question
What is the value of x in the equation 3-2x--15x?
6
2
2
6
Consider the given equation is [tex]3-2x=15[/tex] and one of the 6 in the options is -6.
Given:
The equation is
[tex]3-2x=15[/tex]
To find:
The value of x.
Solution:
We have,
[tex]3-2x=15[/tex]
Subtracting 3 from both sides, we get
[tex]3-2x-3=15-3[/tex]
[tex]-2x=12[/tex]
Divide both sides by -2.
[tex]x=\dfrac{12}{-2}[/tex]
[tex]x=-6[/tex]
Therefore, the value of x is -6.
Bike sprockets and chain.
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
Answer: 3:1
Step-by-step explanation:
From the question, we are informed that a gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket.
We are further told that the bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket.
Based on the explanation given in the question, the gear ratio for the bike would be the ratio of 36 to 12. This will be:
= 36:12
Since 12 is a common factor. It can be further reduced to 3:1.
Therefore, the gear ratio is 3:1
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
That's the answer
How much is 2+45/6?
Answer:
The correct answer to 2+45/6 is either 9.5 or 9 1/2.
Step-by-step explanation:
In order to solve 2 + 45/6, we need to turn the fraction into a decimal (by dividing the numerator by the denominator) and/or a mixed number (by dividing the numerator by the denominator, and marking the rest)
Step 1: Convert fraction into decimal/mixed number:
45/6 or 45 ÷ 6 = 7.5
45/6 = 7 3/6 or 7 1/2
Step 2: Add two to Both the decimal/mixed number:
7.5 + 2 = 9.5
7 1/2 + 2 = 9 1/2
Therefore, 2+45/6 is either 9.5 or 9 1/2.
Hope this helps! :D
Marty and Ethan both wrote a function, but in different ways.
Marty
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.
Ethan
A two column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 9.2, 9.6, 10, 10.4.
Whose function has the larger slope?
Answer:
Marty's function has larger slope as compared to Ethan's slope.
Step-by-step explanation:
Marty function:
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.
Writing in mathematical form: [tex]y+3=\frac{1}{3}(x+9)[/tex]
Marty has written expression in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is slope
So, comparing Marty's equation with general point-slope form equation we get slope [tex]m=\frac{1}{3}\:or\: 0.3[/tex]
Now, Ethan has a table
x y
-4 9.2
-2 9.6
0 10
2 10.4
We can find slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using any two points, we can find slope of Ethan's equation
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{9.6-9.2}{-2-(-4)} \\Slope=\frac{0.4}{-2+4} \\Slope=\frac{0.4}{2} \\Slope=0.2[/tex]
So, we get Marty's slope = 0.3
Ethan's slope = 0.2
So, Marty's function has larger slope as 0.3 is greater than 0.2
Answer:
C
Step-by-step explanation:
pyramid q has a rectangular base and a volume of 96 cubic inches. pyramid r has a rectanglular base that is one-half the base area of pyramid q and a height that is 3 times the height of pyramid q. what is the volume of pyramid r?
The volume of pyramid R is 144 cubic inches.
We have to find the dimensions of pyramid Q using the given information:
Volume of pyramid Q = 96 cubic inches
The volume of a pyramid is given by the formula:
Volume = (1/3) * base area * height
Since pyramid Q has a rectangular base, let's assume its base has dimensions length (L), width (W), and height (h).
Volume of pyramid Q = (1/3) * (L * W) * h
We are given that the volume of pyramid Q is 96 cubic inches:
96 = (1/3) * (L * W) * h
Now, let's move on to pyramid R:
Base area of pyramid R = (1/2) * base area of pyramid Q
Base area of pyramid R = (1/2) * (L * W)
Height of pyramid R = 3 * height of pyramid Q
Height of pyramid R = 3 * h
Now, we can calculate the volume of pyramid R using the same volume formula:
Volume of pyramid R = (1/3) * (base area of pyramid R) * (height of pyramid R)
Volume of pyramid R = (1/3) * ((1/2) * (L * W)) * (3 * h)
Volume of pyramid R = (1/2) * (L * W) * (h)
We know that the volume of pyramid Q is 96 cubic inches,
so (L * W) * h = 96*3 = 288.
Now, let's substitute this value into the formula for the volume of pyramid R:
Volume of pyramid R = (1/2) * 288
Volume of pyramid R = 144 cubic inches
So, the volume of pyramid R is 144 cubic inches.
To learn more on volume click :
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Free Branliest
Answer please I LONELY PLS GUYS PLEASE
Answer:
Hello. How's your day been so far?
Step-by-step explanation:
Answer:
Ya
Step-by-step explanation:
CAN ANYONE HELP?! please
every 5 months, hal has to replace the batteries in his calculator. he changed them the first time in may. in what month will they be changed the 25th time?
The 25th battery replacement will occur in October.
What is Rate of change?
A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.
The last time he changed his batteries was in May, so we know he needs to change them every 5 months. So we can figure out when he has to replace them for the 24th time. The first thing we need to do is figure out how many months have passed since he has to replace them 24 times a year.
[tex]\begin{aligned}5\text{ months}\cdot 24\text{ replacement}&= 120\text{ months}\end{aligned}[/tex]
From the amount of months we can calculate the amount of years that will pass.
120 months x (12 months/ 1 year ) = 10 year
Adding 10 years to May results in 10 years later May, which is the month of the 24th replacement.
That is the 24th battery replacement will occur in May and therefore, the 25th battery replacement will occur in October.
Read more about unit rates at:
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what is the maximum value of the derivative of f(x)= 3x^2+x^3
Answer:
Maximum Value: ∞
General Formulas and Concepts:
Calculus
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = 3x² + x³
Step 2: Find Derivative
Basic Power Rule: f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹Simplify: f'(x) = 6x + 3x²Step 3: Analyze
We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.
Therefore, the maximum value of the derivative would be ∞, as the parabola's output y infinitely increases.
6. A glider descends 240 meters in 12 seconds. What is the average change in
elevation per second?
Answer:
20 meters per second
Step-by-step explanation:
240/12
Answer: The average change in elevation per second is -20 meters.
Step-by-step explanation: If a glider descends 240 meters in 12 seconds, then it descends 20 meters in one second. However, because the glider is descending, then the value and slope of change must be negative.
what is the slope between (4,-17), (-20,-1)?
Calculate the pressure if the area is
10cm² and the force is 420N
Answer:
p=F/A
p=420/10
P=42
Step-by-step explanation:
hope this helps u
What decimal fraction is 7 hens out of 21 hens?
Answer:
7 is 1/3 of 21 hens
Step-by-step explanation:
7/21 = 3
Answer:
7/21 and simplifies, its 1/3
Step-by-step explanation:
Jenny can walk ⅕ of a mile in ½ of an hour. If she continues this pace how long will it take her to walk 2 ⅖ miles?
Answer:
6hours
Step-by-step explanation
2 2/5 / 1/5 = 12 or 2.4 / .2 = 12
1/2 * 12 = 6
What is the value of n? 3n - 4 = 10
Answer:
4 and 2 thirds or 4 2/3 <mixed number
Step-by-step explanation:
4+10=14
14/3n=4.666 repeating decimal or just 4 2/3
how bout this 5+54+69= What
Answer:
128
Step-by-step explanation:
hoped that helped
Im having trouble figuring this out, please help!
Triangle STU with vertices
S(-15, -3), I(-12, -15). and U(0, -9):
k= 1/3
Which decimal has the greatest value?
A. 0.009
B. 0.019
C. 0.0099
D. 0.02
Answer:
Answer: D
Step-by-step explanation:
Answer:
D.0.02
Step-by-step explanation:
D is the least number so that means its closer to 0. the higher the negative number goes the further away it gets from 0.
What is the surface area of the cylinder with height g in and radius 4 in? Round your
answer to the nearest thousandth.
Answer:
if you want ans area of cylider is 2πrh+2πr2
Step-by-step explanation:
need thanks and make me brainiest if it helps you
The scatter plot shows the population P of a town (in thousands) t years after 2000. Which best linear equation to model the town’s population from 2000 to 2019?
A) P(t) = 1.12t + 0.20
B) P(t) = 0.02 + 1.12
C) P(t) = 0.20t + 1.12
D) P(t) = 1.12t + 0.02
Answer:
P(t)=1.12t+0.20
Step-by-step explanation:
Hope it helps lov
For ride sharing services, Uber charges $5 for the first mile and $1.20 each additional mile. Lyft charges $7 for the
first mile and $0.95 for each additional mile. What is the equation to show how many miles will it take for the cost to
be the same?
Answer:8 miles
Step-by-step explanation:
complete the table and then find the function rule. Remember to put in the y=mx+b form
Answer:
1. 81 2. -20 3. 168 4. -24
Step-by-step explanation:
I hope this is right :)
Please help me with 3 and 4
Answer:
Third choice, likely
Second choice, equally likely
Step-by-step explanation:
There's 14 red ones and 3 green ones, so there's 17 marbles in total. !4 red ones so the probability is 14/17, which is a very high chance so yea
It's not certain because there's still 3 marbles that are not red, so while the chance of it not being red is low, it's not none so u can't choose certain
There's only 2 sides to a coin, so the chance of getting either heads or tails is 1/2. So there's an equal chance
I need help it is a multiple Choice question
Answer:
6 m
.006 km
6,000 mm
Step-by-step explanation:
Let's look at some conversions real quick:
1 cm --> 10 mm (multiply cm by 10)
1 cm --> 0.00001 km (divide cm by 100000)
1cm --> 0.01 m (divide cm by 100)
Now that this is laid out, lets do these conversions for 600 cm.
Meters (m) = 600/100 = 6 meters
Kilometers (km) = 600/100000 = .006km
Millimeters (mm) = 600 * 10 = 6,000 mm
I hope this helps!!
- Kay :)