Answer:
1, 3, 7
Step-by-step explanation:
A rational number can be written as a ratio or fraction.
1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational
2) 3.624 can be written as 3 78/125
3) The square root of two is irrational
4) 0.6666666 going on and on can be written as 1/3
5) -5.6 can be written as a fraction too
6) 1/3 is already a fraction
7) Pi is irrational
Hope that helps!
Does anybody know this???
Answer:
angle congruent to a given angle.
Step-by-step explanation:
This is the construction of an angle congruent to a given angle.
1. An airplane took off and reached an altitude of
10,000 feet. Due to a storm, it had to decrease
it's altitude by 2,500 feet. What is the
airplane's current altitude?
a. 25,000
b. 500
c. 7,500
d. 12,500
Please answer it will help me a lot
Jenifer is 1 year older than twice Zack's age. Write an expression that repersents Jenifer's age in relation to zack.
Answer:
j = 2z + 1
jennifer is one year older or jennifer is plus one.
twice zacks age or two times zacks age.
jennifer's age is two times zacks age plus one or
j = 2z + 1
1,872 words in 26 minutes. Find the unit rate.
Answer:
72 words per minute
Step-by-step explanation:
The unit rate in this case is words per minute. Therefore, the answer is 1872 / 26 = 72 words per minute.
4. A rock is placed in a graduated cylinder with 40-mL of water in it. The water level rises to 60-mL. When placed on a balance scale it takes 54 grams of gram stackers to balance the scale. What is the density of the rock?
Answer:
2.7 [tex]g/mL[/tex]
Step-by-step explanation:
The density of an object will be its mass over volume.
We know that the mass of this rock is 54 grams because it took 54 grams of gram stackers to balance the scale. If we have a balanced scale, that means the amount of weight on either side is equal. So the mass is 54 grams.
Also, we can tell that the volume of the rock is 20 mL. This is because, according to Archimedes principle, if you put an object in water, the amount of water displacement will be it's volume. So the amount of water displacement is [tex]60-40=20[/tex] mL.
Density is mass over volume, so the density is [tex]54\div20 = 2.7[/tex]. Density is measure in mass over volume, so [tex]g/mL[/tex].
So 2.7 [tex]g/mL[/tex] is the density of the rock.
Hope this helped!
True or False? The number 0.8 can be written as 8/10, so it is an irrational number
PART A :A deli receives a large order for sandwiches for a company picnic. The company wants one club sandwich and two regular sandwiches for each person. The company also wants an extra Dagwood sandwich. A club sandwich has $3$ slices of bread. A regular sandwich has $2$ slices. A Dagwood has $5$ slices. If there are $n$ people going to the company picnic, how many slices of bread does the deli need to make this order? Write your answer as a fully simplified expression. Your answer should have the variable $n$ in it exactly once. PART B: Given that the deli ends up using $110$ slices of bread, how many people are going to the company picnic?
Answer:
Part A:
[tex]7n + 5[/tex]
Part B:
15 people
Step-by-step explanation:
Each person gets one club sandwich and two regular sandwiches. There is one additional Dagwood sandwich.
If a club sandwich has 3 slices, then the total amount of slices needed for [tex]n[/tex] people will be [tex]3n[/tex], since each person has 3 slices.
If a regular sandwich has 2 slices and everybody gets 2 regular sandwiches, then it's represented as [tex]4n[/tex], since everyone has 4 slices each.
Additionally, we have one Dagwood sandwich, which can be represented as 5,, since a Dagwood sandwich has 5 slices.
Combining these terms we get [tex]3n + 4n + 5[/tex]. Combining like terms gets us the expression [tex]7n + 5[/tex].
To solve for [tex]7n + 5[/tex], we have to make it an equation. Using the information in Part B, the Deli ends up receiving 110 slices of bread. So, the equation is
[tex]7n + 5=110[/tex]
We want to isolate n on one side, to do this we have to subtract 5 then divide by 7.
[tex]7n + 5 - 5= 110-5\\\\7n = 105\\\\7n\div7 = 105\div7\\\\n = 15[/tex]
So 15 people are going to the picnic.
Hope this helped!
SA= 2 pie r square + 2 pie rh, solve for h please
Answer:
[tex]\huge \boxed{h= \displaystyle \frac{SA}{2\pi r} -r}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]SA=2\pi r^2 +2\pi rh[/tex]
Subtracting [tex]2\pi r^2[/tex] from both sides:
[tex]SA-2\pi r^2 =2\pi rh[/tex]
Dividing both sides by [tex]2\pi r[/tex]:
[tex]\displaystyle \frac{SA-2\pi r^2}{2\pi r} =h[/tex]
Simplifying the equation:
[tex]\displaystyle \frac{SA}{2\pi r} -r=h[/tex]
[tex]\rule[225]{225}{2}[/tex]
Identify the polynomial 4x3 + 6x2
52
A monomial
B binomial
C trinomial
D quadrinomial
Answer:
4 x 3 + 6 x 2 has 4 terms so it's an quadrinomial
Step-by-step explanation:
D quadrinomial
The distance from the earth to the sun is approximately 59.25 10miles from Earth. The Distance from the earth to the moon is 52.4 10What is the maximum distance from the moon to the sun?
Answer:
The answer is:
The Moon, on average, is about 150 million kilometers away from the Sun.
PLEASE HELP ME!!! ill put brainliest 7
Answer:
The answer is A, 19/49
Step-by-step explanation:
normally you would do the equation as usual, but if you notice the words (without replacing the first) then that means there will be 24 marbles left.
that means it can't be B C or D because 24 can't be simplified into the denominators 5, 20, or 15
Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon's score for his 6th game?
Answer:
By scoring 240 in the sixth game, Marlon can maintain this exact average
Step-by-step explanation:
The first thing to do here is to calculate the average for the first 5 games.
Mathematically, the average can be calculated by adding all the scores in the games and dividing by 5;
= (210 + 225 + 254 + 231 + 280)/5 = 1200/5 = 240
Now to maintain this average score of 240, we want to know the score she must have in the 6th game.
Let the score be x;
By adding x to the previous total of 1200 before and dividing by the new count of 6, we can work our way to get x.
Mathematically, what we are saying is;
(1200 + x)/6 = 240
6 * 240 = 1200 + x
1440 = 1200 + x
x = 1440 -1200
x = 240
Which figure represents an undefined term?
Answer: 4th figure , where XY is a line.
Step-by-step explanation:
There are 3 undefined terms : 1) point 2) line 3 ) planeFrom up to down, The first figure is representing ray( end point at X ) which is an defined term and it is defined as "A ray is a line with one end point."
The second figure is representing a line segment with 2 end-points at X and Y and it is and defined term and it is defined as "A line segment is a line with 2 end points."
The third figure is a joint of two rays and they are making an angle which is again an defined term.
The last figure is representing a line which has no endpoints and is an undefined term.
Hence, the last figure is representing an undefined term "line".
The product of five and a number, increased by 9 is equal to fifteen less than three times then
number. Write an equation, solve, and find the number.
Answer:
x = -12
Step-by-step explanation:
Let x be the number.
The product of 5 and x increased by 9 is equal to 15 less than 3 times x.
5x + 9 = 3x - 15.
We can isolate x, getting (5-3)x = -15-9
Then we can solve:
2x = -24
x = -12.
The required number is -12.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, The product of five and a number, increased by 9 is equal to fifteen less than three times then number.
Let x be the number.
Establishing the equation,
5x + 9 = 3x - 15.
(5-3)x = -15-9
Then we can solve:
2x = -24
x = -12.
Hence, the number is -12
For more references on equations, click;
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sin(7pi/6)=
a. 1/2
b. -sq3/2
c.sq3/2
d.-1/2
Answer:
it IS b
Step-by-step explanation:
The mother bottlenose dolphin weighs
440 pounds. She weighs 250 pounds
more than her calf. How much do they
weigh together?
answer the question quick
Answer:
x^2 +6x -15
Step-by-step explanation:
(3x^2 +2x -8) - (2x^2 -4x+7)
Distribute the minus sign
(3x^2 +2x -8) - 2x^2 +4x-7
Combine like terms
x^2 +6x -15
Answer:
x²+6x-15
Step-by-step explanation:
We are given this expression:
[tex](3x^2+2x-8) - ( 2x^2-4x+7)[/tex]
We want to simplify the expression. First, distribute the negative sign in front of the second set of parentheses. Multiply each term inside the parentheses by -1.
[tex](3x^2+2x-8) + (-1*2x^2) + (-1*-4x) + (-1*7)[/tex]
[tex](3x^2+2x-8) -2x^2+ 4x -7[/tex]
Next, combine like terms. The 2 terms with an x² can be combined, just like the two terms with an x, and the two terms without a variable.
[tex](3x^2-2x^2) + (2x+4x) + (-8-7)[/tex]
[tex]x^2+(2x+4x)+(-8-7)[/tex]
[tex]x^2+6x+(-8-7)[/tex]
[tex]x^2+6x-15[/tex]
The expression x²+6x-15 is equivalent to (3x²+2x-8)-(2x²-4x+7)
The sum of three consecutive integers is 168. What are the integer?
Answer:
Step-by-step explanation:
Hello, let's note n this integer.
n+ (n+1) + (n+2) = 168
3n+3=168
3(n+1)=168
n+1=168/3=56
n = 56-1=55
Thanks
Find the deriative dy/dx for y=x^2-2x/x^3+3
Answer:
[tex]\frac{dy}{dx}=(\frac{(2x-2)(x^3+3)-(x^2-2x)(3x^2)}{(x^3+3)^2})[/tex]
Step-by-step explanation:
So we want to find the derivative of the rational equation:
[tex]y=\frac{x^2-2x}{x^3+3}[/tex]
First, recall the quotient rule:
[tex](\frac{f}{g})'=\frac{f'g-fg'}{g^2}[/tex]
Let f be x^2-2x and let g be x^3+3.
Calculate the derivatives of each:
[tex]f=x^2-2x\\f'=2x-2[/tex]
[tex]g=x^3+3\\g=3x^2[/tex]
So:
[tex]\frac{dy}{dx}=(\frac{x^2-2x}{x^3+3})'[/tex]
Use the above format:
[tex]\frac{dy}{dx}=\frac{f'g-fg'}{g^2}\\\frac{dy}{dx}=(\frac{(2x-2)(x^3+3)-(x^2-2x)(3x^2)}{(x^3+3)^2})[/tex]
And that's our answer :)
(If you want to, you can also expand. However, no terms will be canceled.)
An object is moving at a speed of 3 kilometers per hour. Express this speed in feet per
minute. Round your answer to the nearest whole number.
The speed of the object in feet per minute to nearest whole number is 164feet/min
Speed is the ratio of the distance to the time of an object. Mathematically;
Speed = Distance/Time
Given the following
Speed = 3km/hr
Using the conversion ratio
1km = 3280.84feet
3km = x
Cross multiply
x = 3 * 3280.84
x = 9,842.52feet
Convert 1 hour to minute
1 hour = 60minutes
Get the speed in feet per minutes
Speed in feet/minutes = [tex]\frac{9,842.52}{60}[/tex]
Speed in feet/minutes = 164.042 feet/minutes
Hence the speed of the object in feet per minute to nearest whole number is 164feet/min
Learn more here: https://brainly.com/question/1462592
The speed in feet per minute is 164.
Given the following data:
Speed = 3 kilometers per hour.In this exercise, you're required to convert the value of the speed given in kilometers per hour to feet per minute.
Conversion:
1 kilometer = 3280.84 feet
3 kilometer = X feet
Cross-multiplying, we have;
X [tex]= 3280.84[/tex] × [tex]3[/tex]
X = 9842.50 feet
Since we know that one (1) hour is equal to sixty (60) minutes, we would divide the value of X by 60 in order to convert it to feet per minute.
[tex]X = \frac{9842.50}{60}[/tex]
X = 164.042 feet per minute.
To the nearest whole number;
X = 164 feet per minute
Therefore, the speed in feet per minute is 164.
Find more information: https://brainly.com/question/24457218
anyone know the answer?
Answer:
The answer is 3.
19+17=36.
36/12=3.
1. Carl has two dogs. They are black Labrador retrievers. The male weighs 31.75 kg and the female weighs 29.48 kg.
a. How much heavier is the male than the female? Show your work.
b. How much do they weigh together? Show your work.
Answer:
A. 2.27 kg
B. 61.23 kg
Step-by-step explanation:
A. 31.75 - 29.48 = 2.27
B. 31.75 + 29.48 = 61.23
What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: 14.25 \: \% \: }}}}}[/tex]
Step-by-step explanation:
Given,
Principal ( P ) = $ 6000
Amount ( A ) = $ 14550
Time ( T ) = 10 years
Rate ( R ) = ?
Finding the Interest
The sum of principal and interest is called an amount.
From the definition,
[tex] \boxed{ \sf{Amount = \: Principal + Interest}}[/tex]
plug the values
⇒[tex] \sf{14550 = 6000 + Interest}[/tex]
Swap the sides of the equation
⇒[tex] \sf{6000 + Interest = 14550}[/tex]
Move 6000 to right hand side and change its sign
⇒[tex] \sf{Interest = 14550 - 6000}[/tex]
Subtract 6000 from 14550
⇒[tex] \sf{Interest = \: 8550 \: }[/tex]
Interest = $ 8550
Finding the rate
[tex] { \boxed{ \sf{Rate = \frac{Interest \times 100}{Principal \times Time}}}} [/tex]
plug the values
⇒[tex] \sf{ Rate = \frac{8550 \times 100}{6000 \times 10} }[/tex]
Calculate
⇒[tex] \sf{Rate = \frac{855000}{60000} }[/tex]
⇒[tex] \sf{Rate = 14.25 \: \% \: }[/tex]
Hope I helped!
Best regards!!
A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.
Answer:
Step-by-step explanation:
A). If a function 'f' is inverse of another function 'g',
Then f[g(x)] = x = g[f(x)]
In this question the given functions are,
f(x) = [tex]\frac{1}{x-3}[/tex] and g(x) = [tex]\frac{3x+1}{x}[/tex]
Then, f[g(x)] = [tex]\frac{1}{\frac{3x+1}{x}-3}[/tex]
= [tex]\frac{x}{3x+1-3x}[/tex]
= x
Similarly, g[f(x)] = [tex]\frac{(\frac{3}{x-3})+1}{\frac{1}{x-3} }[/tex]
= [tex]\frac{3+x-3}{1}[/tex]
= x
Therefore, Both the functions are inverse of each other.
B). Domain of the compositions of these functions will be a set of all real numbers, (-∞, ∞)
3/5 of a number is 162. Work out the number. How do I do this AQA question?
Answer:
The number is 270
Step-by-step explanation:
Let the number be 'x'
3/5 of x = 162
[tex]\frac{3}{5}*x = 162\\\\x=162*\frac{5}{3}\\\\x=54 * 5\\\\x = 270[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{270}}}}}[/tex]
Step-by-step explanation:
Let the number be 'x'
[tex] \sf{ \frac{3}{5 } \: \: of \: x \: = 162}[/tex]
⇒[tex] \sf{ \frac{3x}{5} = 162}[/tex]
Apply cross product property
⇒[tex] \sf{3x = 162 \times 5}[/tex]
Multiply the numbers
⇒[tex] \sf{3x = 810}[/tex]
Divide both sides of the equation by 3
⇒[tex] \sf{ \frac{3x}{3} = \frac{810}{3} }[/tex]
Calculate
⇒[tex] \sf{x = 270}[/tex]
Hope I helped!
Best regards!!
What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest cubic meter.
A. 141 m3
B. 283 m3
C. 339 m3
D. 424 m3
Answer:
D. 424 m³
Step-by-step explanation:
Use the formula for the volume of a cylinder
V = [tex]\pi[/tex]r²h
Plug in the values we know
V = (3.14)(3²)(15)
V = 423.9 m³
This is closest to answer choice D, 424 m³
So, D is correct
-8(6-r)=24 what is the solution for r
Answer:hi
Step-by-step explanation:Let me first warn you that I CANNOT get the denominators of this problem to go underneath the numerators. It looks good on my answer page but when I click "preview your answer" the denominators are ALL over the place. Grrrrr.
I think the weirdly placed denominators make this explanation hard to understand but you give this a go and see if you understand things. If it is too hard to see, maybe this website will let you instant message me or email me. If so, then I will send you the solution via email. I'm very sorry the denominators are SO scattered.
See what you think of the explanations below but it might help if you write down my answer on paper, so that you can move the number to rest more closely under their proper numerators. :-)
Ok then......
Let's start with your first problem. A quick way to do this work is to cross multiply. Here's what I mean:
__3___ = __6___
r - 1 r + 2
Ok, so you can cross multiply:
3(r + 2) = 6(r - 1) (cross multiply)
3r + 6 = 6r - 6 (use the distributive property)
Now you will have to put the "r" variables on the left side of the equal sign and numbers without variables on the right side of the equal sign. To get 6r from the right side to the left, you can subtract 6r from the right side. If you subtract it from the right, you must subtract it from the left.....
To get 6 from the left side to the right, you can subtract it from the left. If you subtract it from the left, you must subtract it on the right.....
So now you have:
3r - 6r = -6 - 6 This becomes.........
- 3r = -12
Now to solve for "r" you will have to divide by -3. Why? Well, -3r is really saying: -3 times r. The -3 and the r are actually being multiplied together so to isolate the "r" you have to sort of "undo" the multiplication. What is the opposite of multiplication? It's DIVISION. Soooo, you must divide by -3 on both sides. SO you have:
- 3r = -12
r = 4 (-12 divided by -3 is a positive 4)
Now you know "r" equals 4. If we "plug" 4 back into the original equation, we can see the answer is correct. Check this out:
__3___ = __6___ (original equation)
r - 1 r + 2
__3___ = __6___ (substitute "4" in for "r"
4 - 1 4 + 2
__3___ = __6___ (do the math in the denominator area)
3 6
1 = 1 (3/3 equals 1 and 6/6 also equals 1, so our
solution that r = 4 is correct!) :-)
Now to your 2nd problem..........
4/2x-5 = 24/2x
___4___ = __24___
2x � 5 2x
Let's cross multiply again:
4(2x) = 24(2x - 5)
8x = 48x - 120
8x - 48x = - 120
-40x = - 120
(divide both sides by -40)
x = 3
Now let's "plug" 3 in where we had the variable "x" in the original equation to see if we are correct.
___4___ = __24___ (original equation)
2x � 5 2x
___4___ = __24___ (substituted 3 for "x")
2(3) � 5 2(3)
___4___ = __24___
6 - 5 6
___4___ = __24___
1 6
4 = 4
SO once again we have found the correct answer. Yay for us! :-)
I hope this helps. :-)
Answer:
[tex]r=9[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-8(6-r)=24[/tex]
Divide both sides by -8:
[tex]6-r=-3[/tex]
Subtract 6 from both sides:
[tex]-r=-9[/tex]
Divide both sides by -1:
[tex]r=9[/tex]
And we're done!
Write the phrase as an expression.
the difference of a number t and 9
Answer:
[tex] t - 9 [/tex]
Step-by-step explanation:
Given that t represents a number which is unknown to us, the difference of the number and 9 can be expressed algebraically as:
[tex] t - 9 [/tex].
The difference of t and 9 = [tex] t - 9 [/tex].
What fraction of an hour is 32 minutes? please let me know! :(
Answer:
8/15
Step-by-step explanation:
1 hour = 60 minutes
32 minutes / 60 minutes
Divide top and bottom by 4
8/15
Find the missing lengths of the sides