Answer:
1/16 tons of wood per deck
Step-by-step explanation:
6/15 ÷ 8
6/15 × 1/8 (Keep Change Flip)
6/96 = 1/16
What is the slope of the graph of y = 14x + 19?
Find 83 1/3 % of 384
Answer:
319.872
Step-by-step explanation:
319.872 / 384 = 83 1/3 / 100
Final Answer: [tex]320[/tex]
Steps/Reasons/Explanation:
Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].
Step 1: Convert mixed fraction into improper fraction.
[tex]\frac{250}{3}[/tex]
Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].
[tex]\frac{96000}{300}[/tex]
Step 3: Simplify
[tex]320[/tex]
~I hope I helped you :)~
The model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold. Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth.
Answer: 75.1
Step-by-step explanation:
Answer:
86.0*
Step-by-step explanation:
i am not 100% sure
You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?
Answer:
The number of:
300- yen cakes = x = 4
350 - yen cakes = y = 6
Step-by-step explanation:
Let the number of:
300- yen cakes = x
350 - yen cakes = y
You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?
Hence, our system of equations derived from the question is:
x + y= 10 ..... Equation 1
x = 10 - y
300x + 350y = 3300 yen... Equation 2
Substitute 10 - y for x in Equation 2
Hence:
300(10 - y) + 350y = 3300
3000 - 300y + 350y = 3300
- 300y + 350y = 3300 - 3000
50y = 300
y = 300/50
y = 6
x = 10 - y
Substitute 6 for y
x = 10 - 6
x = 4
Therefore, the number of:
300- yen cakes = x = 4
350 - yen cakes = y = 6
Prove that for any natural value of n the value of the expression (n+2)^2-(n-2)^2 is a multiple of 8.
Answer:
We have the expression:
(n + 2)^2 - (n - 2)^2
Let´s break the parentheses:
(n + 2)^2 = n^2 + 4*n + 4
(n - 2)^2 = n^2 - 4n + 4
Then:
(n + 2)^2 - (n - 2)^2 = (n^2 + 4*n + 4) - (n^2 - 4n + 4) =
= (n^2 - n^2) + (4 - 4) + (4n - (-4n)) = 4n - (-4n) = 8*n
Then for any natural value of n, 8*n will be a multiple of 8.
The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find the probability that a cat will live to be older than 14 years. b. Find the probability that a cat will live between 14 and 18 years. c. If a cat lives to be over 18 years, would that be unusual? Why or why not? d. How old would a cat have to be to be older than 90% of other cats?
Answer
a. 0.856
b. 0.78071
c. It is not unusual
d. 13.65 years old
Step-by-step explanation:
The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.
We solve this question using z score formula:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a. Find the probability that a cat will live to be older than 14 years.
For x > 14 years
z = 14 - 15.7/1.6
z = -1.0625
Probability value from Z-Table:
P(x<14) = 0.144
P(x>14) = 1 - P(x<14) = 0.856
b. Find the probability that a cat will live between 14 and 18 years.
For x = 14 years
z = 14 - 15.7/1.6
z = -1.0625
Probability value from Z-Table:
P(x = 14) = 0.144
For x = 18 years
z = 18 - 15.7/1.6
z= 1.4375
Probability value from Z-Table:
P(x = 18) = 0.92471
The probability that a cat will live between 14 and 18 years is calculated as:
P(x = 18) - P(x = 14)
0.92471 - 0.144
= 0.78071
c. If a cat lives to be over 18 years, would that be unusual? Why or why not?
For x > 18 years
z = 18 - 15.7/1.6
z= 1.4375
Probability value from Z-Table:
P(x<18) = 0.92471
P(x>18) = 1 - P(x<18) = 0.075288
Converting this to percentage:
0.075288 × 100 = 7.5288%
Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.
d. How old would a cat have to be to be older than 90% of other cats?
From the question above, 10% of the cats would be older than 90% of other cats.
Hence, we find the z score of the 10th percentile
= -1.282
Hence,
-1.282 = x - 15.7/1.6
Cross Multiply
-1.282 × 1.6 = x - 15.7
- 2.0512 = x - 15.7
x = 15.7 -2.0512
x = 13.6488 years old
Approximately = 13.65 years old
What is the area of a hexagon with a side length of 10? it also has a rectangle in it with other measurements but the question is asking for the area of the hectagon.
Answer:
there is a formula for a hexagon .. it's
Area = 3[tex]\sqrt{3\\}[/tex]/2 * [tex]length^{2}[/tex]
where length is the length of one side, assuming all sides are equal
Step-by-step explanation:
3*[tex]\sqrt{3}[/tex]/2= 7.348469228.........
since the length is 10... the length squared is 100
then the total area of the hexagon is 734.8469228...... [tex]units^{2}[/tex].. what ever they are
if you want to work with some concepts.. you could also say that a hexagon is just a box with the corners cut off and the triangles that are missing are the equilateral right triangles with a hypotenuse of 10 . and since 2 pieces of those triangles make a square.. you can subtract two squares of that size from the bigger box that the hexagon fits into. this is a long way to figure this out but might be good for trigonometry practice :)
it will also be 734.8463288..... see if you can work that out :)
Suppose that Gx=f(x+11). Which statement correctly describes the graph? please hurry!
Given:
[tex]g(x)=f(x+11)[/tex]
To find:
The correct statement for the given transformation.
Solution:
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
[tex]g(x)=f(x+11)[/tex] ... (2)
On comparing (1) and (2), we get
[tex]a=11>0[/tex]
So, the graph of f(x) translated 11 units to the left.
Therefore, the correct option is A.
I really need help with -8 - 4(5m + 9)
Can you please help me with the question.
Answer:
Step-by-step explanation:
A. 40:80
B: 80/40
C; 40: 120
D: 80:120 ;)
Evaluate 32 divided by 1.6
show work long division
Answer:
[tex]20[/tex]
Step-by-step explanation:
[tex]-----------------------------------[/tex]
[tex]\frac{32}{1.6}[/tex] = [tex]\frac{16}{0.8}[/tex] = [tex]\frac{8}{0.4}[/tex] = [tex]\frac{4}{0.2}[/tex] = [tex]\frac{2}{0.1}[/tex]
[tex]-----------------------------------[/tex]
[tex]Since[/tex] [tex]you[/tex] [tex]could[/tex] [tex]divide[/tex] [tex]it[/tex] [tex]to[/tex] [tex]0.1[/tex], [tex]just[/tex] [tex]switch[/tex] [tex]the[/tex] [tex]decimal[/tex] [tex]with[/tex] [tex]the[/tex] [tex]0[/tex] [tex]and[/tex] [tex]take[/tex] [tex]away[/tex] [tex]the[/tex] [tex]decimal[/tex] [tex]point.[/tex] [tex]You[/tex] [tex]will[/tex] [tex]get[/tex] [tex]10[/tex]. [tex]Lastly[/tex], [tex]change[/tex] [tex]the[/tex] [tex]division[/tex] [tex]to[/tex] [tex]multiplication.[/tex]
( Remember that this does not apply to all equations. )
[tex]-----------------------------------[/tex]
[tex]When[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]10\cdot2[/tex], [tex]you[/tex] [tex]get[/tex] [tex]20.[/tex] [tex]Which[/tex] [tex]is[/tex] [tex]the[/tex] [tex]answer.[/tex]
[tex]-----------------------------------[/tex]
Hope this helps! <3
[tex]-----------------------------------[/tex]
Solve for x:abx²-(a⁴+b⁴)x+a³b³=0
Step-by-step explanation:
abx² - (a⁴ + b⁴)x + (a³b³) = 0
(ax - b³)(bx - a³) = 0
Therefore x = b³/a or x = a³/b.
35h+25=45h what does h equal
Answer:
h= 2.5
Step-by-step explanation:
25=10h
25/10=2.5
Sam says that the length of diagonal SQ is two times the length of diagonal OM.
Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answer:
Sam is wrong.
Step-by-step explanation:
A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :
Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.
what 1+1
duwjus
w7wjqiw
Answer:
hmm.......i think it's 11
it might be 2
no 11
ehh maybe 11
oh my god
so uhmmmmmm
it's either 11
or it's 2
im having a mental crisis
which number line correctly graphs the numbers in the list?
Answer:
the first option
Step-by-step explanation:
This my homework and I'm bad at math if you can take the time please help me out f(x)= (x-5)to the power of 2 +12
I need the vertex
Axis of symmetry
Domain
Range
Answer:
Vertex: (5,12)
Axis of Symmetry: x=5
Domain: (-infinity, +infinity)
Range: [12, +infinity)
Step-by-step explanation:
Suppose that 8,000 is placed in an account that pays 17% interest compounded each year assume that no withdraws are made from the account
Step-by-step explanation:
gakamajs8skwzaHzk
bak*ywnJz8s
PLZ HELP FAST
Enter an equation in standard form to model the linear situation.
A pool that is being drained contained 19,000 gallons of water. After 2 hours, 14,500 gallons of water remain.
What is the value of StartFraction negative 3 (7 + 5) over 3 squared EndFraction + 9 (2)? –6 –2 14 22 Please help timed test??????
Answer:
your dad left to get the milk
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i took the test on edge 2021
Solve the following system of equations using the elimination method. 8x – 5y = 5 –8x – 6y = 6
A)
(2,–3)
B)
(0,1)
C)
(–2,3)
D)
(0,–1)
Answer:
x = 0, y = -1
Step-by-step explanation:
Help me out real fast pleaseeeeeeee
Answer:
25/6 = 4 1/6
Step-by-step explanation:
what you do is 5/6 times 5 i am pretty sure this is right
Answer:
B. 4 1/6
Step-by-step explanation:
1. Identify your key factors:
Terrance: 5
Brother: 5/6
2. Let's make them both fractions:
T: 30/6 B: 5/6
3. Now subtract the difference:
30/6-5/6
25/6
4. Simplify:
4 1/6
Help help help help help help pls
Answer:
a.) 36
b.) 18
c.) 27
Step-by-step explanation:
ASAP ASAP 30 POINTS
A ratio table shows ratios that are....
A)equivalent
B)subtracted
C)unequal
Answer:
A ) equivalent
Step-by-step explanation:
<333 .! :)
Answer:
I agree with the answer equivalent because I am also doing the assignment
Have a great day!
Which equation should you solve to find x?
PLEASE HURRY) The graph indicates the running route for Tobias
Which best describes his run
A. From time 0 to 6, he went fast and then slowed down.
B. From time 6 to 10, he was at his slowest.
C. From time 12 to 14, he went very slow.
D. From time 14 to 18, he went toward the starting point.
Answer: B. From time 6 to 10, he was at his slowest.
Step-by-step explanation: I just took the same quiz so HURRY!!!
Answer:
b
Step-by-step explanation:
Factorise
48x^3-27x
What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?
O y = -3x - 2
y=-3x
ООО
y=-3x - 4
y = -3x + 4
O y=-3x + 2
Convert 5700 milligrams into pounds. Round your answer to the nearest hundredth.
The value of the 5,700 milligrams in pounds is approximately 0.01 lb
What is a unit of measurement?A unit of measurement is a specified magnitude of a quantity that is accepted and adopted by convention or backed by law, and used as a measurement standard.
In other to successfully convert a quantity in one unit to another unit, both units (initial and destination unit) should refer to the same characteristics of the object being measured.
Once both units are confirmed to refer to the same quantity, conversion factors are used to multiply the quantity in the first unit in order to express it in the other unit.
The given parameters are;
The quantity to be converted to pounds = 5,700 milligrams
The factor of conversion is 1,000 mg ≈ [tex]2.205 \times 10^{-6}[/tex] lb
Therefore;
[tex]5,700\: mg = 5,700 \times 2.205 \times 10^(-3) ≈ 0.0126[/tex]
Therefore, to the nearest hundredth, we have;
5,700 mg ≈ 0.01 lb
Learn more about unit conversion in mathematics here:
https://brainly.com/question/141163
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is Water is stored in response to changing demand a cause or effect
the answer is effect
Answer:
this a effect you can change the change the water