Answer:
they have to mix 1.67 quarts 20% and 3.33 quarts 14%
Step-by-step explanation:
Given the data in the question;
let x quarts of the 20 percent alcohol and y quarts of 14 percent alcohol be mixed to form 5 quarts
i.e
x + y = 5 -------------let this be equation 1
20%x + 14%y = 16%5
0.2x + 0.14y = 0.8
multiply through by 50
10x + 7y = 40 -------------let this be equ 2
so let multiply equation by -7
-7x - 7y = -35 ------------- let this be equ 3
add equ 2 and 3
3x + 0 = 5
x = 5/3 ≈ 1.67
substitute value of x in equation 1
5/3 + y = 5
y = 5 - 5/3
y = 10/3 ≈ 3.33
Therefore; they have to mix 1.67 quarts 20% and 3.33 quarts 14%
Estimate the diameter of a circle with a circumference of 80 feet
1. 12.74 feet
2. 25.48 feet
3. 40 feet
4. 50.96 feet
Answer:
2) 25.48
The diameter of the circle d = 25.48
Step-by-step explanation:
Step(i):-
we know that the diameter of a circle d = 2 r
The circumference of the circle = 2π r
Given that the circumference of the circle = 80 feet
Step(ii):-
The circumference of the circle = 2π r = 80
⇒ π (2r )= 80
⇒ πd = 80
⇒ [tex]d = \frac{80}{3.14}[/tex]
d = 25.477
Final answer:-
The diameter of the circle d = 25.477
it costs $3 to rent bowling shoes. Each game costs $2.25. How many games can you bowl if you have $9.00?
Answer:
2 games
Step-by-step explanation:
$2.25 + $2.25 = $4.50. $4.50 + $3 = $7.50. $9 - $7.50 = $1.50. You would have $1.50 as your change.
Please show all of your work for this!
Answer:
17 unitsStep-by-step explanation:
BE is midsegment of ACDF
BE = 1/2(CD + FA)2(3x + 3) = 6x - 16 + 4x - 106x + 6 = 10x - 2610x - 6x = 6 + 264x = 32x = 8Similarly, FA is midsegment of BEZW
FA = 1/2(BE + WZ)WZ = 2FA - BEWZ = 2(4x - 10) - (3x + 3)WZ = 8x - 20 - 3x - 3WZ = 5x - 23Substitute x with 8:
WZ = 5*8 - 23 = 40 - 23 = 17The answer is 132 ft
Answer:
Lol, thank you for telling me this information..
Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24
Answer:
-4,-5
Step-by-step explanation:
Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.
4(-24 - 4y) - 2y = -6
-96 -16y -2y = -6
-18y = 90
y = -5
Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4
Jack pours 1/3 gallon of fruit juice in 1 and 1/2 minutes. Assume that he bores at a constant rate. What fraction of a gallon of fruit juice does he pour in one minute?
Answer: 1/3+ 1 1/2 = 1.8333333333333 or 1 5/6
What fraction of a gallon of fruit juice does he pour in one minute? He poors 1 5/6 fruit jucie in one min
Which relationships describe angles 1 and 2?
Select each correct answer.
supplementary angles
complementary angles
adjacent angles
vertical angles
result for Which relationships describe angles 1 and 2?
Answer. Answer: They are supplementary angles, because angle 1 + angle 2 = 180° , i.e. they form a line.
Hope you enjoy! :)
Nathan earned $63 for working 7 1/2 hours.. How much does Nathan earn per hour?
0 $8.40
O $7.20
$8.90
O $9.50
Answer:
$8.40
Step-by-step explanation:
We have to find the unit rate, so our equation is:
63 ÷ 7 1/2 = 8 2/5 or 8.4
So Nathan earns $8.40 per hour
Jermaine and Monica will usually both run 4.5 miles each time they go running. This month, Jermaine ran an additional 27 miles. Which answer choice shows an expression that represents the total distance Jermaine and Monica ran this month if j = the number of times that Jermaine ran and m = the number of times that Monica ran?
Answer:
4.5 (j + m) + 27
Step-by-step explanation:
A circle has a diameter of 4 meters.
What is its perimeter (to the nearest hundredth)?
What is its area (to the nearest hundredth)?
m^2
Answer:
Step-by-step explanation:
r = d/2
r = 4/2
r = 2
pi = 3.14
Circumference = 2 * pi * r
Circumference = 2 * 3.14 * 2
Circumference = 12.56
Area = pi r^2
Area = 3.14 * 2^2
Area = 4 * 3.14
Area = 12.56
the diagonal of a rectangular tv is 52 inches long. the screen is 45 inches wide. how high is the screen? round decimal to the nearest tenth.
A. 97
B. 68.8
C. 26.1
D. 7
Write 34% as a fraction or mixed number in simplest form
17/50 = 34% Hope this helped
Given that V, W, and X are the midp oints of ASTU, what is the relationship between TX and XU?
A 2TX = XU
B. TX = 1/2XU
C. TX || XU
D. TX=XU
Please select the best answer from the choices provided
Answer:
the answer is D
Step-by-step explanation:
got it right on edg
Write an expression for the quotient of q and 347.
Answer:
q/347
Step-by-step explanation:
quotient means division so q divided by 347 is
q/347``
please mark as brainliest
m^2+5=14
[tex] {x}^{2} [/tex]
x2+5=14
Answer:
okeed
Step-by-step explanation:
What is the value of the expression 6 +5. (8 = 2)2?
Answer:
The answer is 22
Step-by-step explanation:
might be wrong so I would wait for someone else to also answer.
The segments shown below could form a triangle.
А
C
8
11
A
9
9
C
B
O A. True
B. False
A seasonal index for a monthly series is about to be calculated on the basis of three years’ accumulation of data. The three previous July values were 110, 150, and 130. The average over all months is 190. The approximate seasonal index for July is:
Answer:
0.684
Step-by-step explanation:
According to the scenario, computation of the given data are as follows
Seasonal index = Average value for July ÷ Average over all months
Where, Average value for July = ( 110 + 150 + 130 ) ÷ 3
= 390 ÷ 3 = 130
And, average over all months = 190
So by putting the value in the formula, we get
Seasonal index = 130 ÷ 190
= 0.684211 or 0.684
Hence, approximate seasonal index for July is 0.684.
How many milligrams of medication are in 500 mL of a 1% solution?
Help
Answer:
Step-by-step explanation:
5g. X% solution means there are Xg per 100mL. So 500mL at 1%: 5g
Y-21<85 help me pls
I don’t get this stuff lol
Answer:
it is y<106
Step-by-step explanation:
remember to add 85 and 21 together :)
In the diagram what is sin(x) 
Answer:
8/15 or 0.5333 to nearest ten thousandth.
Step-by-step explanation:
sin x = opposite side/ hypotenuse
= 8/15.
help me with this question
Answer:
-3
Step-by-step explanation:
Rise over run is slope or rate of change
-6/2=-3
Integrate [tex]e^{4x}\sqrt{1+e^{2x} } dx[/tex] please show work so i can learn
Answer:
[tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]
Step-by-step explanation:
Step(i):-
Given that the function
f(x) = [tex]e^{4x} \sqrt{1+e^{2x} }[/tex]
Now integrating on both sides, we get
[tex]\int\limits{f(x)} \, dx = \int\limits{e^{4x} \sqrt{1+e^{2x} } dx[/tex]
= [tex]\int\limits{e^{2x} e^{2x} \sqrt{1+e^{2x} } dx[/tex]
Step(ii):-
Let [tex]1 + e^{2x} = t[/tex]
[tex]e^{2x} = t -1[/tex]
[tex]2e^{2x}dx = d t[/tex]
[tex]e^{2x}dx = \frac{1}{2} d t[/tex]
= [tex]\int\limits{( \sqrt{1+e^{2x} }) e^{2x} e^{2x} dx[/tex]
= [tex]\int\limits {\sqrt{t}(t-1)\frac{1}{2} dt }[/tex]
= [tex]\frac{1}{2} \int\limits {\sqrt{t} (t) -\sqrt{t} ) dt }[/tex]
= [tex]\frac{1}{2} \int\limits {(t^{\frac{1}{2} } t^{1} +t^{\frac{1}{2} } ) } \, dx[/tex]
[tex]= \frac{1}{2} \int\limits {(t^{\frac{3}{2} } +t^{\frac{1}{2} } ) } \, dx[/tex]
= [tex]\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{3}{2}+1 } + \frac{t^{\frac{1}{2} +1} }{\frac{1}{2}+1 } )+C[/tex]
= [tex]\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{5}{2} } + \frac{t^{\frac{1}{2} +1} }{\frac{3}{2} } )+C[/tex]
= [tex]\frac{1}{2} (\frac{t^{\frac{5}{2} } }{\frac{5}{2} } + \frac{t^{\frac{3}{2} } }{\frac{3}{2} } )+C[/tex]
= [tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]
Final answer:-
= [tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]
Evaluate the expression when y = -6
Y2+5Y-3
Answer:
-45
Step-by-step explanation:
(-6)2+5(-6)-3=-45
Answer:
Solve the equation for Y by finding a , b , and c of the quadratic then applying the quadratic formula. Y = − 5 − √ 97 + 24 y 12 Y = − 5 + √ 24 y + 97 12
0.62 as a percent
(STEP BY STEP)
Answer:
0.62 = 0.62 × 100/100 = (0.62 × 100)/100 = 62/100 = 62%;
In other words:
1) Multiply that number by 100.
2) Add the percent sign % to it.
Answer:
62%
Step-by-step explanation:
You would take the decimal and move it to the right two spaces then add the percent sign in replace of the decimal.
.62 → 6.2 → 62. → 62%
Hope this helps!
Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
Answer:
Circ=37.704, Area= 112.112
Step-by-step explanation:
Circumference= pi *Diameter
Taking pi=3.142, Diameter=12
Circ=3.142*12=37.704
Area= pi * r^2
Area= 3.142*6*6=112.112
After a 65% reduction, you purchase a new clothes dryer on sale for $189. What was the original price of the clothes dryer ?
Answer:
$122.85
Step-by-step explanation:
65/100 x 189 = $122.85
What is the real part of 6 plus 3i
Answer:
63
hope it's 9 lol ❤❤❤❤❤❤
THANK YOU. ^O^ :)
Answer: 6
Step-by-step explanation: A complex number is written as a+bi where a is the real part(whole number) and b is the imaginary part.
5x5x5x5= ______ to the power of _____
Answer:
5 4
Step-by-step explanation:
its fristly 5
ok then bb
Answer:
5x5x5x5=625
Step-by-step explanation:
cual es el resultado de simplificar. Adjunto foto
Answer:
⣿⣯⣿⣟⣟⡼⣿⡼⡿⣷⣿⣿⣿⠽⡟⢋⣿⣿⠘⣼⣷⡟⠻⡿⣷⡼⣝⡿⡾⣿ ⣿⣿⣿⣿⢁⣵⡇⡟⠀⣿⣿⣿⠇⠀⡇⣴⣿⣿⣧⣿⣿⡇⠀⢣⣿⣷⣀⡏⢻⣿ ⣿⣿⠿⣿⣿⣿⠷⠁⠀⠛⠛⠋⠀⠂⠹⠿⠿⠿⠿⠿⠉⠁⠀⠘⠛⠛⠛⠃⢸⣯ ⣿⡇⠀⣄⣀⣀⣈⣁⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⠈⠀⣀⣁⣀⣀⡠⠈⠉ ⣿⣯⣽⡿⢟⡿⠿⠛⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠈⢠⣴⣾⠛⠛⠿⠻⠛⠿⣷⣶ ⣿⣿⣿⠀⠀⠀⣿⡿⣶⣿⣫⠉⠀⠀⠀⠀⠀⠀⠀⠈⠰⣿⠿⠾⣿⡇⠀⠀⢺⣿ ⣿⣿⠻⡀⠀⠀⠙⠏⠒⡻⠃⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠐⡓⢚⠟⠁⠀⠀⡾⢫ ⣿⣿⠀⠀⡀⠀⠀⡈⣉⡀⡠⣐⣅⣽⣺⣿⣯⡡⣴⣴⣔⣠⣀⣀⡀⢀⡀⡀⠀⣸ ⣿⣿⣷⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢾⣷⣿ ⣿⣿⣟⠫⡾⠟⠫⢾⠯⡻⢟⡽⢶⢿⣿⣿⡛⠕⠎⠻⠝⠪⢖⠝⠟⢫⠾⠜⢿⣿ ⣿⣿⣿⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⣰⣋⣀⣈⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⢸⣿ ⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿ ⣿⣿⣿⣿⣦⡔⠀⠀⠀⠀⠀⠀⢻⣿⡿⣿⣿⢽⣿⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠘⠛⢅⣙⣙⠿⠉⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣅⠀⠓⠀⠀⣀⣠⣴⣺⣿⣿⣿⣿⣿⣿⣿⣿
Step-by-step explanation:
i nu speak that language