Answer:
5% solution needed = 5.7 liters
40% solution needed = 4.3 liters
Step-by-step explanation:
Let the amount of 5% solution is needed = x liters
And the amount of 40% solution is needed = y liters
Concentration of the final solution = 20%
5x + 40y = 20(x + y)
x + 8y = 4(x + y)
4y = 3x
x = [tex]\frac{4}{3}y[/tex] -------(1)
Total volume of the final solution needed = 10 liters
Therefore, x + y = 10 --------(2)
Now substitute the value of x from equation (1) to equation (2).
[tex]\frac{4}{3}y+y=10[/tex]
[tex]\frac{7}{3}y=10[/tex]
y = 4.3 liters
From equation (2),
x + 4.3 = 10
x = 5.7 liters
What’s is the answer to 9^11 divided by 9
Answer: 3,486,784,401
Step-by-step explanation:
9 raised to the 11th power is 31,381,059,609
Then divide that by 9 to get 3,486,784,401
Help me please I need to answer this
Answer:
it is $150 in three months
Answer:
$50 per month
Step-by-step explanation:
After 3 months there's $150, and after 6 months there's 300. When averaged out (150/3 and 300/6), both equal 50, meaning the constant rate of change is $50 a month.
What is the average speed in miles per hour of a car that travels 961.95 miles in 15.9 hours.
Answer:
60.5 miles per hour
Step-by-step explanation:
Take the miles driven and divide by the hours
961.95 miles/15.9hours
60.5 miles per hour
Answer:
60.5 miles per hour
Step-by-step explanation:
961.95 divided by 15.9 should give you your answer which is 60.5
the nth term of a sequence is 3n squared divided by 2 what is the second term of the sequence?
Answer:
6.
Step-by-step explanation:
f(n)=3n²/2
f(2)=3(2²)/2
f(2)=3(4)/2
f(2)=12/2
f(2)=6
The second term of the sequence 3n²/2 is 6.
What is substitution?Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
Given, The nth term of a sequence is 3n²/2.
Let f(n) = 3n²/2.
Now, to obtain the second term of the sequence can be obtained by replacing n with 2.
∴ f(2) = 3(2)²/2.
f(2) = (3×4)/2.
f(2) = 12/2.
f(2) = 6.
learn more about sequences here :
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Show work.
Simplify 5! 3! / 2! 2!
Answer:
Simplify the expression.
Exact Form:
41 /12
Decimal Form:
3.41 6
Mixed Number Form:
3 5 /12
Which equation represents the line that is parallel to 5x +y = 13 and passes through the point (15,-31)? Show complete working format please
Answer:
Step-by-step explanation:
y = -5x + 13
y + 31 = -5(x - 15)
y + 31 = -5x + 75
y = -5x + 44
For each value of x, determine whether it is a solution to x - 42 = 7.
Answer:
67- No 46-No 49-Yes 47-No
Step-by-step explanation:
Hope this helps!
Answer:
67...No
46...No
49...Yes
47...No
Step-by-step explanation:
x - 42 = 7
Add 42 to both sides
x = 49
Adriana y Andrés caminan juntos todos los días. El recorre 150 metros y ella 100 metros por cada minuto de caminata. ¿Cuál es la distancia que recorre cada uno después de 3,6,8,9 y 10 minutos?
Answer:
hi o whae your ayt fk hbod
Step-by-step explanation:
y=3x-5 identify y intercept within equation
Answer: -5
Step-by-step explanation: alrite so when u graph it, the line crosses -5 on the y axis
Answer: -5
Step-by-step explanation:
When written in slope intercept form, which is y=Mx+b, b is the y intercept so in this case it would be -5
Math help please I have no idea how to solve this it’s confusing me I searched a video and I’m still confused :(
Answer:
57°
Step-by-step explanation:
A triangle's angles should all add up to 180°
So you have to add up the other two given angles, so in this case it is 60° + 63°, which equals 123°. Then you subtract 123 ° from 180°, giving you the answer of 57°.
Answer:
it's 57
Step-by-step explanation:
the 3 angles add up to 180 so add the 2 angles together to get 123 and then subtract that from 180
An art gallery owner purchases art at flea markets and sells the art for a 14% profit in the gallery. If the owner purchases a piece of art for $885 at a flea market, what will be its selling price in the gallery?
Answer:
$1008.9
Step-by-step explanation:
Given
Cost of piece of art = $885
Percent profit made = 14%
Profit amount = 14% of $885
Profit amount = 14/100×885
Profit amount = 12390/100
Profit amounts to $123.90
Selling price = cost price + profit amount
Selling price = $885+$123.90
Selling price = $1008.9
Hence the selling price for the art at the gallery is $1008.9
Answer:
$1008.9
Step-by-step explanation:
-(x-7) + (5/3) = 2(x+9) wht does x equal
Answer:
-28/3=x
Step-by-step explanation:
-(x-7) + (5/3) = 2(x+9)
-x+7+5/3=2x+18
7+5/3=2x+18-x
7+5/3=x+18
5/3=x+18-7
5/3=x+11
5/3-11=x
Ahora todo se pasa a base 3
[tex]\frac{5-33}{3}[/tex]=x
-28/3=x
In the image above, what do the red arrows on lines mean?
Can you guys help please!! Due very soon!
the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.
Hope thishelps!
find the value of the height of the tree.
Answer:
20 ft
Step-by-step explanation:
First we must find out what the scale factor is.
26 / 6.5 = 4
the scale factor is 4.
Now we must multiply 5 by 4 to find x.
5 * 4 = x
20 = x
x = 20
The height of the tree is 20 ft.
Solve for x number 9
Answer:a
Step-by-step explanation:
WHAT IS FUN ABOUT MATH
Answer:
Maths is universally common. People in every country use maths and all its branches. ... Give it a try, look around you, measure something, solve a sum, count something and there are so many more ways you can start knowing maths. Maths is interesting, it's just numbers to play with.
Answer:
what's fun about math is when you figure out the equations and questions.
You deposit $900 in a savings account that earns a simple interest rate of 4.5% per year. You calculate you will earn $1215 in interest over 3 years. Is your answer reasonable?
A. Yes; the interest will be much less than the total in the account
B. No; the interest will be much less than the total in the account.
C. No; the interest will be more than the total in the account.
D. Yes; the interest will be more than the total in the account.
Answer:
a..
Step-by-step explanation:
yes the interest will be much less than total than the account
The answer is not reasonable because the interest will be much less than the total in the account.
In order to determine if the answer is reasonable, we have to determine the simple interest that would be earned and the total amount in the account.
Simple interest = amount deposited x time x interest rate
$900 x 0.045 x 3 = $121.50
The total amount in the account in three years = amount deposited + interest earned
$900 + $121.50 = $1021.50.
To learn more about simple interest, please check: brainly.com/question/9352088?referrer=searchResults
How do you write 8.43 × 10^-4 in standard form?
Answer:
0.000843
Step-by-step explanation:
simplify the expression:
8.43 × 0.0001
now simplify:
0.000843
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2m=-6n-5
Solve for M
m= -3n -5/2
What is mathematical equation?
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.
In the given equation,
2m = −6n −5
Divide by 2 on both sides, we get
2m/2 = −6n/2 −5/2
m = -3n - 5/2
Therefore, our value of m is in terms of n, which is -3n - 5/2
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A grocery store sells a bag of 6 oranges for $3.30. What is the unit cost?
Answer:19.8$
Step-by-step explanation:
You can drive 607.5 miles with 15 gallons of gas. How many miles can you drive with 1 gallon of gas?
Screenshot below
Answer:
40.5
Step-by-step explanation:
Since there's no converting, you can just divide 607.5 by 15 to get the answer
what is 19 percent in decimal?
Answer:
0.19
Step-by-step explanation:
Answer:
0.19
Step-by-step explanation:
divide 19 by 100 (do this because percent basically means "per 100". anything you want to convert into a decimal is going to be out of 100, so you always divide by 100 when converting percent to decimal.
you will end up with 0.19
hope this helps you :)
−38÷7/12 another math question.
Answer:
-0.45238095238
Step-by-step explanation:
-38 divided by 7/12= -0.45238095238
A new car is purchased for 24800 dollars. The value of the car depreciates at 7.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 9000 dollars?
Answer:
pretty sure the answer is 13.5 years. sorry if wrong
Step-by-step explanation:
a number multiplied by 5 and increased by 7 the result is 62
Answer:11
Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.
Answer:
Step-by-step explanation:
5X+7=62
5X=55
X=11
Translate the equation into a verbal sentence 3y+8=32
Answer:
32 Is Eight More Than 3 Times A Number
Explanation:
32 Is Eight More Than: + 8 = 32
3 Times A Number: 3y
Put Everything Together: 3y + 8 = 32
Step-by-step explanation:
Hey there!
3y+8 = 32 --> The sum of thrice of a number and 8 is 32.
Reason:
When solving this word problem, we let "x" as variable as there is unknown number.After that as in word problem it says "thrice a number" it gives 3x.Then as there is "the sum of the unknown number and 8" it means 3x+8.Lastly the sum would be equal to 3x+8=32.So, the word problem for this equation is " The sum of thrice of a number and 8 is 32.
Hope it helps...
If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.
PLEASE SOMEONE HELP ME!!!!!!
Answer:
It cant
Step-by-step explanation:
car use gas at differnt rates
Q5.
Here are two fractions.
7/5 and 5/7
Work out which of the fractions is closer to 1
You must show all your working.
Answer:
5/7
Step-by-step explanation:
You can convert them to fractions to answer:
7/5=1.4
5/7=0.714
7/5 is 0.4 away from 1, while 5/7 is 0.3 away.
Answer:
5/7 is closer
Step-by-step explanation:
7/5= 49/35=1 14/35
5/7= 25/35
7/5 is 14/35 away from one whereas 5/7 is 10/35 away.
What was the error in this equation?
Answer:
The error is the solution.
The solution is all real numbers, or infinite amount of solutions.
Step-by-step explanation:
Step 1: Write equation
-4(2n - 3) = 12 - 8n
Step 2: Solve for n
Distribute -4: -8n + 12 = 12 - 8nSubtract 12 on both sides: -8n = -8nAdd 8n to both sides: 0 = 0Here we see that n can equal any number. If you plug in any number n, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.
n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.