The two fractions that lie on point P on the number line will be 1/6 or 2/12. Then the correct option is A.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The section from zero to one is divided into 12 equal parts. And point P lies in the second section. Then the location of the point P will be given as,
⇒ 2 / 12
⇒ 1 / 6
The two fractions that lie on point P on the number line will be 1/6 or 2/12. Then the correct option is A.
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There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?
I’m pretty sure the answer should be 1,710 if not i’m sorry
Answer:
1710 fish
Step-by-step explanation:
Let the number of fish in the lake last year be 'x'
The equation becomes-
x + 15x/100=6210 (This is because 15% of x is added in x to become
6210... hope you understand)
x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400
Therefore- The number of fish last year = 5400
Now, let the number of fish in the lake 2 years ago be 'y'
The equation becomes-
y + 20y/100 = 5400 (Same logic as last time)
y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500
Therefore- Fish in the lake two years ago = 4500 fish
Difference between current and two years ago = 6210-4500
= 1710 fish
Hope you understood the answer and I hope it helps you :)
The weights of 3 puppies at one week old were 6.5 ounces, 7.3 ounces, and 6.4 ounces. If each puppy gained 2.1 ounces, how much would the puppies weigh?
PLEASE HELP ASAP!!! PLEASE!!!!
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year.
A graph shows the Number of Bushels on the x-axis and the Price of Corn in dollars on the y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 98 at increments of 14. A straight line joins the ordered pairs 2, 14 and 4, 28 and 6, 42 and 8, 56 and 10, 70 and 12, 84.
Previous Year
Number of Bushels
Price of Corn (dollars)
2
10
4
20
6
30
8
40
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.
Answer:Part A:8 Part B:$1
Step-by-step explanation:
Part A: 7 dollars
- The graph shows that 2 bushels is 14 dollars, because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.
- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.
- 7 can be known as the slope and rate of change.
Part B:2 dollars
- The years before show 2 bushes was 10 dollars
-so you would divide 10 by two you would get five To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.
-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
50** POINTS! 7th Grade, Geometry. Thankyou.
What's the measure of ABD, DBK, and KBC? Show all work.
Please, I need help with this. It's due by 9:00 and it's already 7:00 where I live ;-;
Answer:
56.6
Step-by-step explanation:
Since BK is a bisector of ABC at B,
this implies that:
ABC = ABK + KBC
ABC = 28.3 + 28.3
ABC= 56.6
Would you mind helping me please? Maybe hurry a tiny bit Thank you
Answer:
first box is 8 and second is 12
Step-by-step explanation:
lmk if you need explaining
PLZ HELP!!
Lenard is saving money to buy a computer. He saves $58.25 per week. Write the meaning of each product. Use numbers in the fill in the blank items.
1. The product of 58.25(4) means Lenard will have an additional $ _____ saved _____ weeks (from now/ago).
2. The product of 58.25(–3) means Lenard had $ _____ (more/less) _____ weeks ago.
1. The product of 58.25(4) means Lenard will have an additional $233 saved 4 weeks from now.
2. The product of 58.25(–3) means Lenard had $174.75 less 3 weeks ago.
The concept of saving $58.25 per week was adopted by Lenard.
On this note, after every week, Lenard will have $58.25 more than she had the previous week.
In essence, every week from now adds up $58.25 to Lenard's balance and every week ago takes off $58.25 from his current balance.
Read more on products:
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Answer:
The product of 58.25(4) means Lenard will have an additional $233 saved 4 weeks from now.
2. The product of 58.25(–3) means Lenard had $174.75 less 3 weeks ago.
The concept of saving $58.25 per week was adopted by Lenard.
On this note, after every week, Lenard will have $58.25 more than she had the previous week.
In essence, every week from now adds up $58.25 to Lenard's balance and every week ago takes off $58.25 from his current balance.
Step-by-step explanation:
Help!! I have no clue what to do. I’m struggling and stuck on this whole problem. Can you please explain how you got the answers? Thank you!
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
Again, could I please have some help with an explanation? And if possible, could someone explain basic set notation to me?
Please help quick!!!!
2 is One solution
3 is Cannot be determined because its the same line
4 is no solution because they are perendicular
Ok so , I need help with this . Please and thank you ✨
Pls answer this for me
show all the steps that you use to solve this problem.
Use the order of operations to find the value of the expression.
5×2+6−5
Answer:
11
Step-by-step explanation:
5 x 2 =10
10+6=16
16-1=15
Choose the set of equivalent fractions that matches the images:
Answer:
b 2/12 = 1/6
Step-by-step explanation:
Answer:
the answer is the second one
Step-by-step explanation:
because that is the only one that divid the pie in to 6 parts
A Hawaiian monk seal dives to a depth of -4.13 meters. By how many meters does it need to change his position to get back to sea level?
!!!!!!!!!!!!
Answer:
4.13 meters
Step-by-step explanation:
If he is -4.13 meters below sea level, he need 4.13 meters to get back to sea level
Triangle LMN is drawn with vertices at L(−4, −1), M(0, −1), N(−4, −3). Determine the image vertices of L′M′N′ if the preimage is rotated 90° clockwise.
L′(4, 1), M′(0, 1), N′(4, 3)
L′(−4, −1), M′(0, −1), N′(−4, −3)
L′(−1, 4), M′(−1, 0), N′(−3, 4)
L′(1, −4), M′(1, 0), N′(3, −4)
Answer:
it's c buddy
Step-by-step explanation:
i did this arldy
The image vertices of L′M′N′ if the preimage is rotated 90° clockwise are,
⇒ L′(- 1, 4), M′(-1, 0), N′(- 3, 4)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Triangle LMN is drawn with vertices at L(−4, −1), M(0, −1), N(−4, −3).
Now, We know that;
The rule of rotation 90° clockwise is,
⇒ (x, y) = (y, - x)
Thus, We get;
L = (- 4, - 1)
L'= (- 1, 4)
M = (0, - 1)
M' = (- 1, 0)
N = (- 4, - 3)
N' = (- 3, 4)
Hence, The image vertices of L′M′N′ if the preimage is rotated 90° clockwise are,
⇒ L′(- 1, 4), M′(-1, 0), N′(- 3, 4)
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Find the volume of a prism. Show your work.
Answer:
Step-by-step explanation:
11 times 22
the area of its cross-section multiplied by the length
answer: 242cm squared
Is it fair or not? comment your answer below
Answer:
Step-by-step explanation:
Nope Because it is so-pose to be 200
In a year, there are 4 months that have 30 days.
There are 12 months in a year.
For fun: Thirty days hath September, April, June and November. All the rest have thirty-one, Excepting February alone, And that has twenty-eight days clear And twenty-nine in each leap year.
What is the ratio of the months with 30 days to the months with other than 30 days? In simplest form.
1 to 2
1 to 3
2 to 1
3 to 1
∴∵∴∵ What is the value of the expression 9 − \((1/2)^{4}\) ⋅ 48? ∵∴∵∴
Answer:
The value of the given expression is 6.
Step-by-step explanation:
Help plssssss ASAP!!!!!!
Answer:
D
Step-by-step explanation:
If you match up what it says you get it, so -2 1/4 is equal to so = then 4/5 times a number, it is not specific on the number so it is x and then you add -2 which is the same as subtracting 2.
Charlie invests £1200 at 3.5% per annum compound interest. Work out the value of Charlie's investment after 3 years.
Answer:
Calculate the value of the investment at the end of 3 years. 2000 x 3.5% = 70%
Step-by-step explanation:
Hope this Helps
Bridget drew the trend line shown in the following scatter plot.
Which statement best explains whether the trend line is a good fit for the data?
1. The trend line is a good fit for the data because the data represent a positive association, and the line has a positive slope.
2. The trend line is a good fit for the data because it passes through two of the data points.
3. The trend line is not a good fit for the data because most of the data points are below the trend line.
A:The trend line is a good fit for the data because the data represent a positive association, and the line has a positive slope.
Step-by-step explanation:
Hope this helps
Please help, screenshot!
Answer:
4/7
Step-by-step explanation:
class total = 21
chance of picking one of 12 boys out of 21.
12/21 which can be simpilfied to 4/7
The word structure means .. ( IT NOT C AND D)
A shape
B job
C spider silk
D varies
(2 squared • 3 to the fourth power) cubed
\(\huge\text{Hey there!}\)
\(\mathsf{(2^2 \times 3^4)^3}\)
\(\mathsf{= (2 \times 2 \times 3 \times 3 \times 3 \times3)^3}\)
\(\mathsf{= (4 \times 9 \times 9)^3}\)
\(\mathsf{= (4 \times 81)^3}\)
\(\mathsf{= (324)^3}\)
\(\mathsf{= 324^3}\)
\(\mathsf{= 324 \times 324 \times 324}\)
\(\mathsf{= 104,976\times324}\)
\(\mathsf{= 34,012,224}\)
\(\mathsf{= 2^6 \times 3^{12}}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\large\boxed{\mathsf{Option\ A. 2^6 \times 3^{12}}}\large\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Summarize the rules for multiplying powers with the same base, dividing powers with the same base, and raising a power to a power. (in simple terms please)
Answer: multiplying powers with the same base-The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
dividing powers with the same base-To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
raising a power to a power-Power Rule (Powers to Powers): (am)n = amn, this says that to raise a power to a power you need to multiply the exponents. There are several other rules that go along with the power rule, such as the product-to-powers rule and the quotient-to-powers rule.
Find the surface area of the prism.
The surface area is
square meters.