Answer:
Variable
Step-by-step explanation:
A Variable is a letter or symbol used to represent a quantity that can change.
The symbol used to represent a quantity that can change is called a variable.
We have,
The symbol that is commonly used to represent a quantity that can change is called a variable.
In mathematics and algebraic equations, variables are often represented by letters such as x, y, or z.
Variables are placeholders for unknown or changing values that can be assigned different numerical or algebraic values during calculations or problem-solving.
They allow for the generalization and manipulation of mathematical expressions and equations.
Thus,
The symbol used to represent a quantity that can change is called a variable.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
There are 13 chickens and 9 roosters. What is the
ratio of chickens to roosters in lowest terms?
Answer:
13/9 or 1 4/9
Step-by-step explanation:
Please I need help with 16-17
Answer:
first answer- zero point zero fourty nine thousdanths
Step-by-step explanation:
whats the answer too -8(x + 4) -6x
Answer:
Step-by-step explanation:
-8(x + 4) -6x = -8 * x + (-8) * 4 - 6x
= -8x - 32 -6x
= -14x -32
Explain how you can use multiplication to find the quotient 3/5 ÷ 3/15 then evaluate
To divide two fractions, multiply them by their reciprocals.
3/5 / 3/15
3/5 * 15/3
45/15
3
how did you solve it and explain and what is the answer
Answer:
should be 3x^3+4 because all other choices don't make sense
Answer:
B
Step-by-step explanation:
(3x^2+4)*(x+1)
(3x^2+4)*x+(3x^2+1)*1
3x^3+4x+3x^2+1
3x^3+3x^2+4x+1
The capacity of the milk pitcher on the counter is 9/10 liter each one pitcher has3/8 of milk in it and the other pitcher has 5/12 of a liter milk in it much is there altogether?
Answer:
57/80L
Step-by-step explanation:
Given that the capacity (i.e maximum possible volume) of a pitcher is 9/10L
1st Pitcher is 3/8 full of milk
Hence Vol of milk in 1st pitcher = 9/10 x 3/8 = 27/80L
2nd Pitcher is 5/12 full of milk
Hence Vol of milk in 2nd pitcher = 9/10 x 5/12 = 3/8 = 30/80L
Total volume = 27/80 + 30/80 = 57/80L
Final answer:
Adding the milk from the two separate pitchers gives a total of 19/24 liters of milk together.
Explanation:
You are asking about a volume measurement related to liters, which indeed is a unit of capacity. One pitcher contains 3/8 of a liter of milk, and the other pitcher contains 5/12 of a liter. To find out how much milk is there altogether, we will simply add the volumes:
[tex]\(\frac{3}{8} + \frac{5}{12} = \frac{9}{24} + \frac{10}{24} = \frac{19}{24}\) liters[/tex]
To calculate this, we first find a common denominator, which is 24 (the least common multiple of 8 and 12). Then we convert each fraction to an equivalent fraction with a denominator of 24, before adding them together. So, the total amount of milk in both pitchers together is 19/24 liters.
Manuel took 2 2/5
hours to clean the den. He took 1 1/3
hours to clean the bathroom. How much longer did it take Manuelt
clean the den?
It took Manuel approximately 1.07 hours longer to clean the den compared to the bathroom. This was calculated by converting the mixed numbers to improper fractions and subtracting.
Explanation:In this problem, we are comparing the time it took Manuel to clean the den and bathroom. To do this, we need to subtract. Firstly, you need to convert the mixed numbers, 2 2/5 hours and 1 1/3 hours, into improper fractions for ease. This would be 12/5 hours and 4/3 hours respectively. Now we subtract 4/3 from 12/5. You can use the least common denominator (LCD) to make this easier: 12/5 (which is 2.4 in decimal) minus 4/3 (which is 1.33 in decimal) equals approximately 1.07 hours. It means Manuel took 1.07 hours(approximately) longer to clean the den compared to the bathroom.
Learn more about Comparing Times here:https://brainly.com/question/32152141
#SPJ2
Can u simplify
Radical 18?
Answer:
You can!
It's 2\sqrt{3\\
Step-by-step explanation:
18 = 2*9
\sqrt{18} = 2\sqrt{3\\
If one gallon of gas costs $3.50 how much would 3,5, and 7 gallons cost?
82/3=
a 4
b 8
c 16√2
C: 16√2 is the best choice for your question since 82/3 = about 27 and 16√2 = about 27 too, meaning that the answer that got rounded is C.
Hope this helped!
Nate
Marcie is playing a board game with a friend. She needs 20 points to win. She currently has -10 points. She wants to know the difference between the number of points she needs
Marcie needs 30 more points. 20-30=(-10)
10 POINTS
Find the distance between the points -6.4 and -9.2.
Show your work plz so I can understand it more
As a smart consumer, you are always on the lookout for sales, coupons, and rebates. While shopping for new clothes, you notice that one particular brand of shirts is on sale for 20% off the original price. You also have a coupon for $10 off a $40 purchase. Coupons are applied after the 20% discount is taken. If each shirt originally costs $17.99, how many shirts would you need to buy to be able to use your coupon? Show your work
You’d have to buy 3 shirts, with the 20% off the shirts would come out to $14.39. So $14.39 x 3 = $43.17. Now with the $10 off a $40 purchase your total cost would be $33.17.
Answer:
You'd have to buy 3 shirts in order to use your coupon.
Step-by-step explanation:
Each shirt originally costs $17.99
One particular brand of shirts is on sale for 20% off the original price.
$17.99*0.2= $3.60 (amount taken off for each shirt)
Now subtract $3.60 from $17.99.
$17.99 - $3.60 = $14.39 (per shirt)
40 / 14.39 = 2.779 (round to 3)
You'd have to buy 3 shirts in order to use your coupon.
$14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40
Evaluate the expression
2,322÷27
this will equal 86 is the anwer to question u have asked
Answer:86
Step-by-step explanation:
Step 1:Put 2,332 the (dividend) in the brackets,(in the box)
The divisor is 27 ,so it's outside of the brackets or outside of the box
Step 2:What is 232 into 27 , the reason I skipped 2 and 3 because there smaller than 27. 232 into 27 is 8 because it's closest to 232 which is 216 because 27*8 equals 216. 8 is now on top of the bracket and now you subtract 232-216 which is 16.
Step 3:Bring down 2 ,because 2 is the last number left.
Now we have to figure out what goes into 162
6 goes into 162 because 27*6=162
Step 4:Subtract 162-162=0
We stop because there's no more to go into unless it was a different number than 162 then we would of brung down the 0 because there's no more numbers after 2 and the number would of been a decimal but there's no more to go into.
6 down goes above the bracket next to 8 now we have an answer of 86.
So the quotient/answer=86
13/16 as a decimal rounded to the nearest tenth
The decimal equivalent of the fraction 13/16 is 0.8125. However, when you round this to the nearest tenth as the question specifies, you get 0.8.
Explanation:To find the decimal equivalent of the fraction 13/16, you firstly divide 13 by 16. This will provide you with a decimal number. Then, since the question asks for the decimal to be rounded to the nearest tenth, you round the decimal number. To round, if the number on right of decimal is 5 or more, round up; if it's less than 5, round down. So 13 divided by 16 equals 0.8125, which when rounded to the nearest tenth gives you a result of 0.8.
Learn more about Decimal Conversion and Rounding here:https://brainly.com/question/28449508
#SPJ3
13/16 as a decimal rounded to the nearest tenth is 0.8.
To convert the fraction 13/16 to a decimal and round it to the nearest tenth, we can follow these steps:
First, divide 13 by 16. When you do this, you get 0.8125 because 13 ÷ 16 = 0.8125.Next, we round 0.8125 to the nearest tenth. To do this, look at the hundredths place (which is the second digit after the decimal point). Here, it’s 1. Since this digit is less than 5, we round down, keeping the tenths place the same.Therefore, 0.8125 rounded to the nearest tenth is 0.8.The perimeter of a rectangle is 38 in. The width
is 6 in. shorter than the length. Find the width
of the rectangle.
Good evening ,
______
Answer:
w=6.5in
___________________
Step-by-step explanation:
L : length
w : width
p : perimeter
38=2L+2w
38 =2(w+6)+2w
38 = 4w+12
38-12=4w
26=4w
26/4=w
w=6.5 in.
:)
(1 point) The histogram below gives the length of service of members of the Department of English at a particular university. The classes, in
years of service, are 0-4.9.5-9.9, etc., and the vertical axis represents the number of faculty
What percent of the department faculty have 5 or more years of service?
Answer
English Faculty
10
15
20
25
Years of Service
To find the percentage of faculty with 5 or more years of service, count the faculty with 5 or more years on the histogram, divide by the total faculty and multiply by 100.
Explanation:The task requires calculating the percentage of English department faculty with 5 or more years of service based on the data presented in the histogram.
Percentages
are calculated by dividing the part by the whole and multiplying by 100. We need to find the number of faculty members (y-axis) corresponding to service years of 5 and above (x-axis) and then calculate it as a percentage of the total faculty. Assume the total number of faculty is T and the number of faculty with 5 or more years of service is F, the percentage can be calculated as (F/T)*100. Please remember to count all the faculty in the histogram values starting from 5 years of service to the end. Ensure to consider these steps of data interpretation when dealing with histograms
.
Learn more about Histogram Interpretation here:https://brainly.com/question/30455465
#SPJ12
The 40% of the department faculty have 5 or more years of service.
To calculate the percentage of department faculty with 5 or more years of service, we can divide the number of faculty with 5 or more years of service by the total number of faculty and multiply by 100%.
% with 5 or more years of service = (number with 5 or more years of service) / (total number of faculty) * 100%
From the histogram, we can see that there are 10 faculty with 5 or more years of service and a total of 25 faculty in the department. Therefore, the percentage of department faculty with 5 or more years of service is:
% with 5 or more years of service = (10 faculty) / (25 faculty) * 100%
% with 5 or more years of service = 40%
Therefore, 40% of the department faculty have 5 or more years of service.
For such more question on department
https://brainly.com/question/30319285
#SPJ6
What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesis plus 6 equals negative 9 plus 4 left parenthesis 2 n plus 1 right-parenthesis.(2n + 4) + 6 = –9 + 4(2n + 1)? n =
The value of n in the equation is 1
Step-by-step explanation:
The equation is [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -9 + 4(2n + 1)
At first we must do that:
1. Open the brackets in both sides
2. Add like terms
3. Solve to find n
L.H.S:
∵ [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -n - 2 + 6
∴ [tex]-\frac{1}{2}[/tex] (2n + 4) + 6 = -n + 4
R.H.S:
∵ -9 + 4(2n + 1) = -9 + 8n + 4
∴ -9 + 4(2n + 1) = 8n - 5
∴ -n + 4 = 8n - 5
- Add 5 to both sides
∴ -n + 9 = 8n
- Add n to both sides
∴ 9 = 9n
- Divide both sides by 9
∴ n = 1
The value of n in the equation is 1
Learn more:
You can learn more about equation in brainly.com/question/8955867
brainly.com/question/9738996
brainly.com/question/10708697
#LearnwithBrainly
ANSWER : The number one
Step-by-step explanation:
got it right
What is 2 divided 5 over 7
Answer:
0.05714285714
Step-by-step explanation:
given:
2 divided 5 over 7
(2/5)/7
decimal value of 2/5 is 0.4
0.4/7=4/70=0.05714285714
Write the equation of a line that is parallel to y = –
2 + 7 and that passes through the point (-4,1)
Answer:
y = -2x -7
Step-by-step explanation:
Plug in and Solve.
3m-(7m+12)=2(m-3)solve this and show work
Answer:
[tex]m = - 1[/tex]
Step-by-step explanation:
[tex]3m - (7m + 12) = 2(m - 3)[/tex]
simplifying bracket first
[tex]3m - 7m - 12 = 2m - 6[/tex]
[tex] - 4m - 12 = 2m - 6[/tex]
grouping like terms
[tex] - 4m - 2m = - 6 + 12[/tex]
[tex] - 6m = 6[/tex]
dividing through by -6
[tex] \frac{ - 6m}{ - 6} = \frac{6}{ - 6} [/tex]
[tex]m = - 1[/tex]
Kieran has $45.00 to purchase supplies to paint the top of a square wooden platform for the school play. The paint roller costs $9.75, and the paint is $17.00 per can. If one can of paint covers approximately 375 square feet, what is the maximum possible length, in feet, of
one side of the wooden platform to the nearest tenth of a foot?
F. 27.3
G. 27.4
H. 27.5
J. 28.0
K. 28.1
Answer:
Option G. 27.4 ft
Step-by-step explanation:
step 1
Calculate the maximum number of cans of paint Kieran can buy with $45
Let
x -----> the number of cans of paint
we know that
The number of cans of paints multiplied by it cost plus the cost of a rooler paint must be less than or equal to $45
so
[tex]9.75+17.00x \leq 45[/tex]
Solve the inequality for x
Subtract 9.75 both sides
[tex]17.00x \leq 45-9.75[/tex]
[tex]17.00x \leq 35.25[/tex]
Divide by 17 both sides
[tex]x \leq 2.07\ cans[/tex]
so
The maximum number of cans that Kieran can purchase is 2 cans
step 2
Find the maximum area covered with 2 cans of paint
we know that
One can of paint covers approximately 375 square feet
therefore
To find out the area covered with 2 cans multiply 375 by 2
[tex]375(2)=750\ ft^2[/tex]
step 3
Find the maximum possible length side of the wooden platform
we know that
The wooden platform is in the shape of a square
so
The area of a square is
[tex]A=b^{2}[/tex]
where
b is the length side of the square
we have
[tex]A=750\ ft^2[/tex]
substitute and solve for b
[tex]750=b^{2}[/tex]
square root both sides
[tex]b=27.4\ ft[/tex]
Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the traffic jam stretches for 5.5 miles. If Connor assumes each car is about 12.5 feet long, which calculation is most reasonable for Connor to use to find about how many cars are stuck in the traffic jam?
Connor can reasonably estimate that about 2323 cars are stuck in the traffic jam.
To find about how many cars are stuck in the traffic jam, Connor can divide the total length of the traffic jam by the length of each car.
Given:
- Length of traffic jam: 5.5 miles
- Length of each car: 12.5 feet
First, let's convert the length of the traffic jam from miles to feet since the length of each car is given in feet.
1 mile = 5280 feet
So, the length of the traffic jam in feet is:
[tex]\[ 5.5 \text{ miles} \times 5280 \text{ feet/mile} = 29040 \text{ feet} \][/tex]
Now, Connor can divide the total length of the traffic jam by the length of each car to find about how many cars are stuck:
[tex]\[ \frac{29040 \text{ feet}}{12.5 \text{ feet/car}} \approx 2323 \text{ cars} \][/tex]
Henry is 4 years younger than Linda. Linda is 20 years old.
After correctly carrying out the Solve step of the five-step problem-solving plan, which solution should you arrive at to find Henry’s age?
28
24
16
12
Answer:
16
Step-by-step explanation:
20-4=16
pls give brainliest
The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two options.
f(x) = One-fifth
f(x) = One-fifthOne-fifthOne-fifth
f(x) = 5One-fifth
f(x) = 5(5)x
f(x) = 5(5)–x
Answer:
The equations that represent the reflected function are
[tex]f(x)=5(\frac{1}{5})^{-x}[/tex]
[tex]f(x)=5(5)^{x}[/tex]
Step-by-step explanation:
The correct question in the attached figure
we have the function
[tex]f(x)=5(\frac{1}{5})^{x}[/tex]
we know that
A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.
therefore
[tex]f(−x) = f(x).[/tex]
The reflection of the given function across the y-axis will be equal to
(Remember interchanges positive x-values with negative x-values)
[tex]f(x)=5(\frac{1}{5})^{-x}[/tex]
An equivalent form will be
[tex]f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}[/tex]
therefore
The equations that represent the reflected function are
[tex]f(x)=5(\frac{1}{5})^{-x}[/tex]
[tex]f(x)=5(5)^{x}[/tex]
Answer:
c,d
Step-by-step explanation:
Laura is looking for a way to save money this year on her medical expenses. Insurance is starting to get expensive, and her budget is tight. She figures that she has a 75% chance of needing to visit the doctor and get medication once in the winter, for a total of about $400. She also figures there should be some room in the budget for emergencies, so she estimates a 5% chance she will need to spend $300 at an emergency room.
Is it reasonable for Laura to set her medical budget at $300 for the year?
Answer: A
Step-by-step explanation: The expected value is over $300, so Laura will likely need more money to cover her expenses.
its not that hard
It's not reasonable for Laura to set her medical budget at $300 for the year. Considering her predicted medical expenses, her expected annual cost is $315, making her budget slightly understated.
Explanation:The answer to whether Laura's medical budget of $300 for the year is reasonable or not involves a concept in probability known as expected costs. Let's consider both events: there is a 75% chance of spending $400 and a 5% chance of spending $300.
We calculate the expected cost for both scenarios:
The expected cost for the doctor visit and medication is 0.75 * $400 = $300The expected cost for emergency spending is 0.05 * $300 = $15
Adding these costs, we find that her expected annual medical costs are $315, not $300. Therefore, Laura might need to reconsider her budget, possibly increasing it slightly.
Learn more about Expected Costs here:
https://brainly.com/question/33743607
#SPJ11
Miss Wheeler has 15 3/4 cups of flour in a container she uses one 1/4 cups of flour to make a loaf of bread how much flour does she have left
Answer: 15.5 or 15 1/2
Step-by-step explanation: becuz 15 3/4 - 1/4 = 15.5
Find the nth term of this number sequence
1, 10, 19, 28, ...
Pls help
Answer:
9n - 8
Step-by-step explanation:
The sequence is arithmetic since the difference between consecutive terms is common
d = 10 - 1 = 19 - 10 = 28 - 19 = 9
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 1 and d = 9, thus
[tex]a_{n}[/tex] = 1 + 9(n - 1) = 1 + 9n - 9 = 9n - 8, hence
[tex]a_{n}[/tex] = 9n - 8
We are required to find the nth term of the sequence 1, 10, 19, 28,....
The nth term of the sequence 1, 10, 19, 28, is 9n - 8
Given:
1, 10, 19, 28,
First term, a = 1
Common difference, d = difference between consecutive terms
10 - 1 = 9
19 - 10 = 9
28 - 19 = 9
nth term = a + (n - 1)d
nth term = 1 + (n - 1)9
= 1 + 9n - 9
= 9n - 8
Therefore, nth term of the sequence 1, 10, 19, 28, is 9n - 8
Read more:
https://brainly.com/question/16870403
Evaluate −5(12)^3x for x = 1.
Answer:
x=3
Step-by-step explanation:
Answer: The answer is -8640.
Step-by-step explanation:You would first off by multiplying what's in the parenthesis by its exponent: (12)^3(1)= 1720. Then multiply 1728 by 5 so get your overall correct answer of -8640. Hope I helped you a lot and my answer is correct.!!
Suppose 0 is an angle in the standard position whose terminal side is in Quadrant 1 and sin 0= 84/85. Find the exact values of the five remaining trigonometric functions of 0
Answer:
Part 1) [tex]cos(\theta)=(\frac{13}{85})[/tex]
Part 2) [tex]tan(\theta)=\frac{84}{13}[/tex]
Part 3) [tex]cot(\theta)=\frac{13}{84}[/tex]
Part 4) [tex]sec(\theta)=\frac{85}{13}[/tex]
Part 5) [tex]csc(\theta)=\frac{85}{84}[/tex]
Step-by-step explanation:
we know that
Angle [tex]\theta[/tex] lie on Quadrant I
so
[tex]sin(\theta)[/tex] is positive
[tex]cos(\theta)[/tex] is positive
[tex]tan(\theta)[/tex] is positive
[tex]cot(\theta)[/tex] is positive
[tex]sec(\theta)[/tex] is positive
[tex]csc(\theta)[/tex] is positive
step 1
Find the value of [tex]cos(\theta)[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
we know that
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
substitute
[tex](\frac{84}{85})^2+cos^2(\theta)=1[/tex]
[tex](\frac{7,056}{7,225})+cos^2(\theta)=1[/tex]
[tex]cos^2(\theta)=1-(\frac{7,056}{7,225})[/tex]
[tex]cos^2(\theta)=(\frac{169}{7,225})[/tex]
[tex]cos(\theta)=(\frac{13}{85})[/tex]
step 2
Find the value of [tex]tan(\theta)[/tex]
we know that
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
[tex]cos(\theta)=(\frac{13}{85})[/tex]
substitute
[tex]tan(\theta)=\frac{(84/85)}{(13/85)}[/tex]
[tex]tan(\theta)=\frac{84}{13}[/tex]
step 3
Find the value of [tex]cot(\theta)[/tex]
we know that
[tex]cot(\theta)=\frac{1}{tan(\theta)}[/tex]
we have
[tex]tan(\theta)=\frac{84}{13}[/tex]
therefore
[tex]cot(\theta)=\frac{13}{84}[/tex]
step 4
Find the value of [tex]sec(\theta)[/tex]
we know that
[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]
we have
[tex]cos(\theta)=(\frac{13}{85})[/tex]
therefore
[tex]sec(\theta)=\frac{85}{13}[/tex]
step 5
Find the value of [tex]csc(\theta)[/tex]
we know that
[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
therefore
[tex]csc(\theta)=\frac{85}{84}[/tex]