Answer:
\(\frac{32000}{1}\)
Step-by-step explanation:
Any number can be divided by 1, so using 1 as its denominator converts the number into a fraction.
help me please ? Ill Mark brainlist
Answer:
ching song
Step-by-step explanation:
blig blong
Answer:
D. 39000 m
Step-by-step explanation:
13 km * 3 week * 1000 m(=1 km) = 39000m
Solve for y.
3(y-2) = y +4-2(-5y-2)
Simplify your answer as much as possible.
Answer:
y = -7/4
Step-by-step explanation:
3 ratios that are equivalent to 6:12
Answer:
1:3
2:4
3:6
Step-by-step explanation:
we can divide both sides by 6 and get 1:2
we can divide both sides by 3 and get 2:4
we can divide both sides by 2 and get 3:6
Answer:
12:24, 3:6, 2:4
Step-by-step explanation:
What we are looking for here is a ratio that, when you divide/multiply the same constant on both parts of the ratio, you get 6:12.
6:12 is the same thing as 1:2, so we can find ratios equivalent to 1:2 (the first value will be half the second).
Hope this helped!
Which is a better deal: 10 pounds of hamburger for $4.99 or 5 pounds of hamburger for $2.69? PLEASE HELP ME QUICKLY ILL LOVE YOU FOREVER<33
Answer:
10 pounds for $4.99
Step-by-step explanation:
If you multiply the 5 pounds for 2.69 by 2, you would get 10 pounds of hamburger for 5.38 which is more than 4.99
The home states of a certain group of people are distributed as follows: 52 percent are from MISSOURI, 28 percent are from KANSAS, and 20 percent are from IOWA. (No one in the group had a home state other than one of these three.) (Note: Your answer to the question below should be rounded to three decimal places.) Suppose we randomly select a person from this group. What is the expected value of the number of letters in the selected person's home state
Answer:
The expected value of the number of letters in the selected person's home state is 6.64.
Step-by-step explanation:
What is the expected value of the number of letters in the selected person's home state
52% have 8 letters(Missouri).
28% have 6 letters(Kansas)
20% have 4 letters(Iowa).
So
\(E = 0.52*8 + 0.28*6 + 0.2*4 = 6.64\)
The expected value of the number of letters in the selected person's home state is 6.64.
The expected value of the number of letters in the selected person's home state will be 6.64.
52% are from MISSOURI of 8 letters.
28% are from KANSAS of 6 letters.
20% are from IOWA of 4 letters.
The expected value of the number of letters in the selected person's home state is required.
Let's consider the expected value E
So, 52% of 8 + 28% of 6 + 20% of 4 = E
\(\rm 0.52\times8+0.28\times6+0.2\times4=E\\\rm E= 4.16+1.68+0.8\\\rm E=6.64\)
The expected value of the number of letters in the selected person's home state will be 6.64.
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A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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Lavin invests £950 into her
building society. She receives 2% per
year simple interest. How much will
Lavin have in total after 5 years?
Your answer
Answer:
£1,049
Step-by-step explanation:
The computation of the amount after 5 years is shown below:
Here we have to determined the future value
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= £950 × (1 + 0.02)^5
= £950 × 1.02^5
= £950 × 1.1040808032
= £1,049
The students in Mrs. Barnett's first-grade class sit down in a circle for show-and-tell. The circle they form has a diameter of 4 meters. What is the circle's radius?
Answer:
Step-by-step explanation:
If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.
A box contains 54 coins which are either 20-cent coins or 50-cent coins. If the total value of all the coins is $20.70, find the number of 20-cent coins in the box. LOF 1 11.
Number of 20-cent coins in the box are 33.
1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.
2. We can set up two equations based on the given information:
- x + y = 54 (since the total number of coins in the box is 54)
- 0.20x + 0.50y = 20.70 (since the total value of all the coins is $20.70)
3. We can multiply the second equation by 100 to get rid of the decimals:
- 20x + 50y = 2070
4. Now, we can use the first equation to express y in terms of x:
- y = 54 - x
5. Substitute the value of y in the second equation:
- 20x + 50(54 - x) = 2070
6. Simplify and solve for x:
- 20x + 2700 - 50x = 2070
- -30x = -630
- x = 21
7. Substituting the value of x back into the first equation:
- 21 + y = 54
- y = 33
8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.
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Solve the systems by elimination.
-6x - 10y = - 18
-3x + 10y = 36
Answer: (-2,3)
Step-by-step explanation:
Help me please if you can
Answer:
the answer to your question is 37.
Step-by-step explanation:
all you need to do is add up all of the sides
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
What is the value of x?And the perimeter and area?
Answer:
Step-by-step explanation:
12
Find three consecutive integers such that the square of the third added to the first is 130
\(x = (-b ± sqrt(b^2 - 4ac)) / 2a\)The three consecutive integers are 5/2, 7/2, and 9/2. We can check that this solution works by squaring the third integer (9/2), adding it to the first integer (5/2), and verifying that the sum is indeed 130:
\((5/2) + (9/2)^2 = 130\)
Let's call the first of the three consecutive integers "x". Then, the next two consecutive integers are x+1 and x+2.
The problem tells us that the square of the third integer (which is x+2) added to the first integer (which is x) is 130. In equation form, we can write:
\(x + (x+2)^2 = 130\)
Simplifying the equation, we can expand the square:
\(x + x^2 + 4x + 4 = 130\)
Combining like terms:
\(x^2 + 5x - 126 = 0\)
Now we can use the quadratic formula to solve for x:
x = -b ± \(sqrt(b^2 - 4ac)) / 2a\)
where a = 1, b = 5, and c = -126. Plugging these values into the formula, we get:
x = (-5 ±\(sqrt(5^2 - 4(1)(-126))) / 2(1)\)
x = (-5 ± \(sqrt(625)) / 2\)
x = (-5 ±25) / 2
So, x could be either -15/2 or 5/2. However, we are looking for three consecutive integers, so we can eliminate the negative value and choose x = 5/2.
Therefore, the three consecutive integers are 5/2, 7/2, and 9/2. We can check that this solution works by squaring the third integer (9/2), adding it to the first integer (5/2), and verifying that the sum is indeed 130:
\((5/2) + (9/2)^2 = 130\)
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1 rabbit saw 9 elephants while going to the river. Every Elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise in each hand. How many animals are going to the river?
Answer:
16 animals
Step-by-step explanation:
It's a step by step approach.
Every monkey had one tortoise in hand.
There was 3 monkeys.
So 3 monkeys had one tortoise making it 3 tortoise.
Since the elephants are all going towards the same River it's definitely that the monkey they all saw is the same 3 set of monkeys.
Then a rabbit .
Total animal = 1 rabbit + 3 monkeys + 3 tortoise + 9 elephants
Total animal= 16 animals
When making bread from scratch, the recipe calls for 3/4 cup of water. If you need to make a smaller portion of the recipe, how much water would you need in order to make only 1/9th of the recipe?
Answer:0.67
Step-by-step explanation:
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
HELP AS SOON AS POSSIBLE PLEASE
A scatter plot, because it would show the association, or relationship, between the two variables
How to determine the most appropriate to construct for the dataFrom the question, we have the following parameters that can be used in our computation:
The table of values
To show the relationship and association between data values, the data values are best represented on a scatter plot
using the above as a guide, we have the following:
The most appropriate to construct for the data is (b)
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A 14-ounce energy drink contains 42 teaspoons of sugar. How much sugar is one ounce of the drink?
Answer:
3 teaspoonsStep-by-step explanation:
14-ounce ⇒ 42 teaspoons of sugar14/14 ounce ⇒ 42/14 = 3 teaspoons of sugar1-ounce ⇒ 3 teaspoons of sugarPLS HELP 2772288282 PlsPLA PLASS
Step-by-step explanation:
I think it'S right......
What is 5j + 3m - 2j - j2 - 8 + 3??
A tank with capactity 500 gal originally contains 200 gal water with 100 lbs of salt mixed into it. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and is allowed to leave at 2 gal/min. Find the amount of salt in the tank at any time prior to the instant the tank overflows. Find the concentration (in pounds per gallon) of salt in the tank when it is at the point of overflowing. Compare this concentration with the theoretical limiting concentration if the tank had infinite volume.
Answer:
The amount of salt in the tank at any moment \(t\) is
\(f(t)=-\frac {4\times 10^6}{(200+t)^2}+200+t\)
The concentration of salt in the tank when it is at the point of overflowing is \(0.968\).
The theoretical limiting concentration of an infinite tank is \(1\) lb per gallon.
Step-by-step explanation:
Let \(f(t)\) be the amount of salt in the tank at any time \(t.\)
Then, its time rate of change, \(f'(t)\), by (balance law).
Since three gallons of salt water runs in the tank per minute, containing \(1\)lb of salt, the salt rate is
\(3.1=3\)
The amount of water in the tank at any time \(t\) is.
\(200+(3-2)t=200+t,\)
Now, the outflow is \(2\) gal of the solution in a minute. That is \(\frac 2{200+t}\) of the total solution content in the tank, hence \(\frac 2{200+t}\) of the salt salt content \(f(t)\), that is \(\frac{2f(t)}{200+t}\).
Initially, the tank contains \(100\) lb of salt,
Therefore we obtain the initial condition \(f(0)=100\)
Thus, the model is
\(f'(t)=3-\frac{2f(t)}{200+t}, f(0)=100\)
\(\Rightarrow f'(t)+\frac{2}{200+t}f(t)=3, f(0)=100\)
\(p(t)=\frac{2}{200+t} \;\;\text{and} \;\;q(t)=3\) Linear ODE.
so, an integrating factor is
\(e^{\int p dt}=e^{2\int \frac{dt}{200+t}=e^{\ln(200+t)^2}=(200+t)^2\)
and the general solution is
\(f(t)(200+t)^2=\int q(200+t)^2 dt+c\)
\(\Rightarrow f(t)=\frac 1{(200+t)^2}\int 3(200+t)^2 dt+c\)
\(\Rightarrow f(t)=\frac c{(200+t)^2}+200+t\)
Now using the initial condition and find the value of \(c\).
\(100=f(0)=\frac c{(200+0)^2}+200+0\Rightarrow -100=\frac c{200^2}\)
\(\Rightarrow c=-4000000=-4\times 10^6\)
\(\Rightarrow f(t)=-\frac {4\times 10^6}{(200+t)^2}+200+t\)
is the amount of salt in the tank at any moment \(t.\)
Initially, the tank contains \(200\) gal of water and the capacity of the tank is \(500\) gal. This means that there is enough place for
\(500-200=300\) gal
of water in the tank at the beginning. As concluded previously, we have one new gal in the tank at every minute. hence the tank will be full in \(30\)min.
Therefore, we need to calculate \(f(300)\) to find the amount of salt any time prior to the moment when the solution begins to overflow.
\(f(300)=-\frac{4\times 10^6}{(200+300)^2}+200+300=-16+500=484\)
To find the concentration of salt at that moment, divide the amount of salt with the amount of water in the tank at that moment, which is \(500\)L.
\(\text{concentration at t}=300=\frac{484}{500}=0.968\)
If the tank had an infinite capacity, then the concentration would be
\(\lim\limits_{t \to \infty} \frac{f(t)}{200+t}= \lim\limits_{t \to \infty}\left(\frac{\frac{3\cdot 10^6}{(200+t)^2}+(200+t)}{200+t}\right)\)
\(= \lim\limits_{t \to \infty} \left(\frac{4\cdot 10^6}{(200+t)^3}+1\right)\)
\(=1\)
Hence, the theoretical limiting concentration of an infinite tank is \(1\) lb per gallon.
8 The events committee wants to survey students about a school dance. The committee is
meeting in the gym, where the girls' basketball team is practicing. They survey the
players on the girls' basketball team.
The events committee is surveying only 1.5% of the student population by asking the girls' basketball team about the school dance.
How to solveTo calculate the percentage of the student population being surveyed, you can use the formula:
Percentage = (Number of students surveyed / Total number of students) * 100
In this case, the number of students surveyed is 15 (girls' basketball team), and the total number of students is 1,000.
Percentage = (15 / 1,000) * 100 = 1.5%
So, the events committee is surveying only 1.5% of the student population by asking the girls' basketball team about the school dance.
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The events committee wants to survey students about a school dance. The committee is
meeting in the gym, where the girls' basketball team is practicing. They survey the
players on the girls' basketball team.
If there are 1,000 students in the school, and the girls' basketball team has 15 players, what percentage of the student population is being surveyed by the events committee about the school dance?
Which graph represents the solution to 1/7m is less then or equal to - 1/22
The graph to the right in (c) is the proper graph to use as the representation of the answer to 1/7m ≤1/22.
We can start by multiplying the inequality's two sides by 7
1/7m ≤ -1/22
7 * (1/7m) ≥ 7 * (-1/22)
1/m ≥ -7/154
To isolate m,
1/(1/m) ≤ 1/(-7/154)
m ≤ -22/7 * 154
m ≤ -484
Any values of m that are less than or equal to -484 make up the solution set for this inequality. This solution set is accurately represented by the graph on the right.
what are graphs?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph. A bar graph can also be used to display the data. Bar graphs show how many of each supply there are. The more supplies or goods are used, the higher the bar's height. The term "pictograph" refers to the visual depiction of information. Each graphic represents a specified number of objects. The display of numerical data in a bar graph consists of rectangles (or bars) with equal widths and different heights. The distance between each bar is the same across the board.
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complete question:
Which graph represents the solution to 1/7m is less then or equal to - 1/22
A health insurance company advertises on television, on radio, and in the local newspaper. The marketing department has an advertising budget of $46,400 per month. A television ad costs $1000, a radio ad costs $200, and a newspaper ad costs $600. The department wants to run 64 ads per month, and have as many television ads as radio and newspaper ads combined. How many of each type of ad can the department run each month?
The number of each type of ad that the department can run each month are:
TV Ads = 32
Radio Ads = 12
News Ads = 20
How to solve Simultaneous equation word problems?x = number of tv ads
y = number of radio ads
z = number of news ads
Two formulas are indicated.
x + y + z = 64
1000x + 200y + 600z = 46400
they want as many tv ads as radio and news ads combined.
equation for that is x = y + z
since x = y + z, replace x with y + z in both equations to get;
y + z + y + z = 64
1000 * (y + z) + 200 * y + 600 * z = 46400
combine like terms and simplify to get:
2y + 2z = 64
1000y + 1000z + 200y + 600z = 46400
combine like terms again to get:
2y + 2z = 64
1200y + 1600z = 46400
Solving simultaneously gives:
y = 12
z = 20
Thus:
x = 12 + 20
x = 32
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Lol im SimpForKirishima my account got baneed comeback kait
Answer:
ion know who that is but heyyyy and they did u dirty
Step-by-step explanation:
Answer:
RIP, you will be rested in peace
Step-by-step explanation:
Suppose the x-axis of a density graph represents someone's weight in
pounds. If the area under the density graph from 120 pounds to 150 pounds
is 0.34, what is the probability of someone's weight being anywhere from 120
pounds to 150 pounds?
O A. 46%
B. 34%
O
C. 52%
OD. 28%
Answer:
b
Step-by-step explanation:
Lynn has a watering can that holds 8 cups of water. How many cups of water will 13 plants get
Answer:
13 plants get 8 cups
so 1 plant get 8/13 = 0.615 cups
Step-by-step explanation:
Hasan plans to choose a book from a section of the store where everything is 25%
off He writes the expression d 0.25d to find the sale price of the book if the original
price is d dollars.
Bella correctly writes another
expression. 0.75d, that will also find the sale price of the
book if the original price is
I/ dollars,
Use the drop-down menus to explain what each part of Hasan's and Bella's
expressions mean.
Hasan's Expression: d - 0.25d
d: Original price0.25: percent discount 0.25d: amount of discountd - 0.25d: sale price--------------------
Bella's Expression: 0.75d
0.75: percent of original priced: original price0.75d: sale price=============================================
Explanation:
The variable d stands for the original price. The store is offering a 25% sale, which means that Hasan will save 25% of the original price. This means 0.25d represents the amount he saves (aka the discount amount).
For instance, let's say d = 100 is the original price. 25% of this is 0.25d = 25 dollars. So if the book is originally $100, then he saves $25.
As you can probably guess, the 0.75 comes from 1 - 0.25 = 0.75; it indicates that if Hasan saves 25%, then he still has to pay the remaining 75%
Notice how d - 0.25d = 1d - 0.25d = (1-0.25)d = 0.75d which points to the sale price being 75% of the original price d.
You purchase a couch for $509.84 plus 4% sales tax. The furniture store offers an installment loan that allows you to pay for the couch by making 12 equal monthly payments of $49.60. What is the cost of credit, in dollars, for this loan? Round your answer to the nearest cent.