The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,
[tex]16=1.2n+(-8)[/tex]
How to write algebraic equation from statement?
Algebraic equation are the expression which consist the variables, coefficients of variables and constants.
The algebraic equation are used represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic equation from statement-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.Given information-
The given statement is 'sixteen is the same as one and two-tenths times a number added to negative 8'.
The statement given in the problem is talking about a unknown number. Let the unknown number is [tex]n[/tex].
The number is sixteen is the same as one and two-tenths times a number added to negative 8.
This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,
[tex]16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)[/tex]
Thus the equation can be used to represent the given statement is,
[tex]16=1.2n+(-8)[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Rearrange the equation to isolate E:
M=
Answer:
m • v^2 / 2 = E
Step-by-step explanation:
m = 2E/v^2
multiply each side by v^2
m • v^2 = 2E
divide each side by 2
m • v^2 / 2 = E
Answer:
c
Step-by-step explanation:
Bernard typically runs x km/hour. While he was sick, he only ran 41. 5 km/hour. What equation represents that the difference in his speeds is 13. 5 km/hour? x – 41. 5 = 13. 5 41. 5 x = 13. 5 13. 5 – x = 41. 5 13. 5 – 41. 5 = x.
Step-by-step explanation:
Typical speed of Bernard= x km/hr
Bernard's speed while sick= 41.5 km/hr
the difference in the speed=13.5 km/hr
the equation representing the difference will be:
x-41.5=13.5 km/hr
What is the range of the function g(x) = |x – 12| – 2?.
The range of the given function is [-2,∞).
what is the range of a function?the range is the complete set of all possible values of the dependent variable say 'y'.
given function is: f(x)= |x – 12| – 2
f(x) = x-14 ∀ x≥12
f(x) = -x+10 ∀ x < 12
value of the above function at x=12 will be -2 means the minimum value of the function will be -2.
now, from the graph, we can see that f(x) is leading to infinity
so the range will be [-2,∞).
therefore, The range of the given function is [-2,∞).
to get more about range, refer to the link,
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The range of the function is all real number of input value (y-value) grater than or equal to -2.
What is range of function?Range of a function is the set of all the possible output values which are valid for that function.
The function given in the problem is,
[tex]g(x) = |x - 12| - 2[/tex]
Lets, compare the above function with the vertex form of the absolute function. The vertex form of the absolute function with vertex (h, k) can be given as,
[tex]y=a|x-h|+k[/tex]
On comparing the vertex form with the given equation, we get,
[tex]h=12\\k=-2[/tex]
Now, as the tange of a function is the set of all the possible output values which are valid for that function.
Here, the function does not take the value which are less than -2. Hence, the range of the function is all real number of input value (y-value) grater than or equal to -2.
Learn more about the range of the function here;
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Find the length y of the minute hand in 3 sf
Please help
Answer:
135 cm
Step-by-step explanation:
[tex] \cos(43) = \frac{75}{y} [/tex]
[tex]y = \frac{75}{ \cos(43) } [/tex]
[tex]y = 135[/tex]
Answer:
y ≈ 102 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{75}{y}[/tex] ( multiply both sides by y )
y × cos43° = 75 ( divide both sides by cos43° )
y = [tex]\frac{75}{cos43}[/tex] ≈ 102 cm ( to 3 sf )
what is 180.2 rounded to the nearest hundred
Answer:
The answer is 180.20
Have a great day!
verify that the segment lengths form a triangle. is the triangle acute, right, or obtuse?
bc Answer: They form an obtuse triangle
Step-by-step explanation:
the length of one side must be greater than the difference and less than the sum of the lengths of the other two sides. In this case the third side must be greater than 3 and less than 31. 3(squareroot) 55 is 22.25 so it fits.
Help me please it’s an easy question I guess
Answer:
The simplified fraction is
[tex] \frac{2}{9} [/tex]
Step-by-step explanation:
Finding the HCF can help a great deal, so in this case the HCF between 16 and 72 is 8.
16/8 = 2
72/8= 9
Therefore the answer is
[tex] \frac{2}{9} [/tex]
Help please
What is the result of dividing x^3-4 by x+2?
(Dividing polynomials with long division)
Answer:
Step-by-step explanation:
There we go :))
GIVING BRAINLIEST!! someone please help me with this
Answer:
Quesnel Lake:Lake Baikal=.31
Quesnel Lake:Great Slave Lake=.82
Step-by-step explanation:
1 foot = .3048 meters
Lake Baikal: 5369 ft. = 1636.4712 m
Great Slave Lake: 2015 ft. = 614.172 m
Quesnel Lake: 506 m
Quesnel Lake:Lake Baikal
[tex]506 \div 1636.472 = .31[/tex]
Quesnel Lake:Great Slave Lake
[tex]506 \div 614.172 = .82[/tex]
helpp! im 2 lazy to do it
Answer:
28. add them all together
Answer:
the answer is 28
Step-by-step explanation:
you have good taste in music
Cost of 1 dozen peaches at 65¢ each.
Answer:
780¢
Step-by-step explanation:
A dozen = 12
so 12 * 65 = 780
Answer:
The answer is 780¢
Step-by-step explanation:
Given;Cost of each Peach = 65¢To Find;Cost of 1 dozen of peachesNow, we know that 1 dozen = 12
So,
65 × 12 = 780
Thus, The cost of 1 dozen of peaches is 780¢
-TheUnknownScientist 72
actually what is this?
Answer:
x²-25=?
Step-by-step explanation:
x² is known as a positive number.A positive number is any number more than 0
so we can there fore assume it's 4 so 4-25 no we can't so we divide
4÷25=0.16 it is a decimal.
Round 112.3398 to the nearest hundredth. Enter your answer in the space
provided.
Answer:
112.34
Step-by-step explanation:
The 2nd digit after the decimal point is in the hundredths position.
• If the digit following is ≥ 5 then round up
• If the digit following is < 5 then leave digit as it is
here the digit following the 3 in the hundredths position is 9 so round up
112.3398 ≈ 112.34 ( to the nearest hundredth )
I need help factoring an equation.
Answer:
30n^15
multiply exponents add reg numbers
Suppose you have a $4-off coupon at a fabric store. You buy fabric that costs $6.75 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric
Answer: 6.75x - 4
Step-by-step explanation:
6.75x - 4
Can you give me the answer to this? I would appreciate it!
Thx
Answer:
7,912.8 inch³ of aluminum is needed to make 70 metal balls
Step-by-step explanation:
r = 3 inches and π = 3.14
single aluminum ball, 113.04 inch³ of aluminum
113.04 inch³ of aluminum is used for 1 ball, then we multiply 70 with this value to determine the aluminum needed for 70 such balls.
please help i am having a bad day this is my last question
A clothing store is having a sale on shirts and jeans. 4 shirts and 2 pairs of jeans cost $64. 3 shirts and 3 pairs of jeans cost $72. What is the cost of one shirt? What is the cost of one pair of jeans
Answer:
Shirt:8 ; jsans:16.
Step-by-step explanation:
Let’s shorten these terms: shirt=s ; jean=j.
3s+3j=72
4s+2j=64 => =2j=64-4s => j=(64-4s):2 => j=32-2s
3s+3j=72 => (instead of j we write 32-2s=> 3s+3*(32-2s)=3s+96-6s=72
=> -3s=72-96
-3s=-24
s=24:3
s=8.
=> j=32-2s => j= 32-16 => j=16.
a cone has a height of 4.5 inches and a diameter of 12 inches. What is its volume, in cubic inches?
Answer:
54π
Step-by-step explanation:
The volume for a cone is πr²h/3, which if we replace the number in, we get :
π6²4,5/3, which is approximately 54π
Hope it helps :)
Angle STV is a straight angle. The measure of WTV angle is 40. The measure of STW angle is x . What is the value of x?
Answer: 140
Step-by-step explanation:
We know that the angle measures must add to 180 deg, so:
40 + x = 180
x = 140.
GIVING 30 POINTS!!
Which of the following is the best estimate for 62% of 29
18
12
5
15
Answer:
18
Step-by-step explanation:
62% of 29
[tex]\frac{62}{100}* 29[/tex]
[tex]0.62 * 29[/tex]
[tex]17.98[/tex]
[tex]18[/tex] .....best estimate if rounded off.
Answer:
18 is the answer
You got 7 questions correct and 3 questions wrong on your test. What was your score as a percent?
Answer:
70%
Step-by-step explanation:
Correct/total questions --> Formula for this problem
Correct questions - 7
Total questions - 10
So, 7/10=70%!
Hope this helps you!
5+34+34+43+6734+456+45
Answer:7351
Step-by-step explanation:
Answer:
456566654
Step-by-step explanation:
Does the term investment mean the interest of something or the principle?
Can someone please help me with these 3 Tysm!! (Please tell me how you solved them) will give brainlist <3
Answer:
1. 50
2.40
3. 9
Step-by-step explanation:
1. in this u need u plus ten with number given
2. in this u need to plus 5 in all the above numbers but i have subtracted bcoz it was below
3. in this u need to multiply 3 with every number like 9*3 27
hope it helps
Goran fills an aquarium to a depth of 4/5 meters in 8 minutes.
What is the unit rate in minutes per meter?
Write your answer in the simplest form.
Answer:
10minutes per meter
Explanation
⅘meters can be filled in 8 minutes
⅘m => 8minutes
1m => ?
(8 x 1) ÷ ⅘
8 x 5/4 = 10 minutes
Therefore, 1meter can be filled in 10minutes
Find the value of x.
The sum of triangle angles = 180
180 = 90 + 2x +15 + x
75 = 3x
x = 25
Answer:
→x=25°
Step-by-step explanation:
→2x+15+x+90°=180°[Sum of a triangle is 180]
→3x+105°=180°
→3x=180°-105°
→x=75°/3
→x=25°
Hope it will help you.
And here’s the second one for the Brainly
Answer:
i guess it is 3a^3-20a^2+16a-24
19. A bird flies at 12 miles/hour. How long does he take to fly 36 miles?
Answer:
He flew for 3 hours
Step-by-step explanation:
in this question we can use the formula :
[tex] \boxed{t = \frac{s}{v}} [/tex]
t is time
s is distance
v is Speed
_________________
We know that :
v = 12 miles/hour
s = 36 miles
So :
[tex] t = \frac{s}{v} = \frac{36}{12} [/tex]
[tex] \boxed{t = 3 \: hours}[/tex]
______________________
HURRY PLSS (100 POINTS
Answer:
Q
Step-by-step explanation:
As it's distance versus time graph
Cyclist stopped for a drink of water means time is going on but distance is not changing .So the line should be parallel to time axisHence Q is the answer
[tex]\sf \Large \boxed{\sf Q} \\\\ In \ a\ distance-time\ graph,\ the\ horizontal\ line\ represents\ an\ object\ at\ rest.\\A \ slope\ shows\ that\ it\ is\ moving.[/tex]