Answer:
240g of 10% salt solution and 160g of 5% salt solution
Step-by-step explanation:
Simpler way:
Let X be the amount of 10% salt solution and Y be the amount of 5% salt solution.
Then X:Y = 3:2 as you need more 10% salt solution than 5% salt solution to create a 8% salt solution. The ratio 3:2 is given as 10 - 8 = 2 and 8-5 = 3.
If X:Y = 3:2 = 60:40, then 60% of the 400g of 8% salt solution must be the 10% solution and 40% of the 400g of 8% salt solution must be the 5% solution. Therefore, 240g of the 10% salt solution and 160g of the 5% salt solution is needed to create 400g of the 8% salt solution.
This is correct as the amount of salt in the solution is equal to (10% X 240g = 24g) + (5% of 160g = 8g). So the total amount (24+8) 32g should be equal to the amount of salt in the 400g of 8% salt solution.
8% of 400g = 32g which means our answer is correct.
More complex way:
A more complex way is to use algebra.
Let X be the amount of 10% salt solution and Y be the amount of 5% salt solution.
X + Y = 400g
and 10% of X + 5% of Y = 8% of 400
so 1/10 X + 1/20 Y = 32
2X + Y = 640 (multiply the previous equation by 20)
Now from the first line we know that X + Y = 400
So if we subtract (2X+Y) by (X+Y) we can get the value of X:
(2X+Y) - (X+Y) = 640 - 400
2X+Y - X - Y = 240
Therefore X = 240
And since X + Y = 400, Y = 160.
Subtract -1 3/5 ( -2 5/8 ) enter your answer as a simplest fraction by filling in the boxes
Answer:
21/5
Step-by-step explanation:
Answer:
1 [tex]\frac{1}{40\\}[/tex]
Step-by-step explanation:
i hope this helps :0
In which expression should the exponents be multiplied?
2 to the 9th over 2 to the 7th
(610)−7
one half to the 3rd times one half to the 5th
52 ⋅ 54
i think that is is the second
help me please
6(9 + 5x) = 54 +
Hi
to progress in math, you must : know by heart the rules and formulas then train.
rule : a ( b+c ) = a*b + a*c.
this propertie is call distributivity .
so we have : 6 ( 9+5X)
here : a = 6
b = 9
c = 5X
so 6 ( 9+5X) = ?
I let you have a shot. Ask in comments section if you are stuck. But try first !
Answer:
1) rearrange terms:
6(9 + 5x) = 54
6(5x + 9) = 54
2) Distribution :
6(5x + 9) = 54
30x + 54= 54
3) subtract 54 from both side:
30x + 54 = 54
30x + 54 - 54 = 54 - 54
4) Simplify: subtract the numbers
30x = 0
5) Divide both side of the equation by the same term:
30x = 0
30x√30 = 0√30
6) Simplify: cancel term that are in the both numerator and denominator
x = O√30
solution :
x = 0]
Find the number that makes the ratio equivalent to 1:5.
6:
Answer:
box = 30
Step-by-step explanation:
You could set this up very formally as a proportion. It would look like this.
1/5 = 6/x
Now all you have to do is cross multiiply.
1*x = 5 * 6
x = 30
So the answer that goes in the box is 30
Or you could just say to yourself. "The 1 was multiplied by 6. What do I have to multiply the 5 by to keep the ratio the same?"
The answer is 6
6 * 5 = 30
In higher math you are going to want to use the first method.
A customer can drive around a track 60 times for $12. At this rate, how many times can the customer drive around the track for $8?
Answer:36 times for 8 dollars
Step-by-step explanation:
k so first you divide 54 and 12 =4.5 per dollar so you then multiply 4.5 and 8 to get the answer that =36 times for 8 dollars
I WILL MARK BRAINLIEST! Solve The Following Questions
Answer:
brainliest is appreciated
For each set of measurements, decide whether or not it is possible to draw a triangle with those measurements. If it is possible, draw the triangle.
a. Side lengths 2 cm, 3 cm, and 4 cm
b. Side lengths 2 cm, 3 cm, and 6 cm
c. Angles 90 degrees, 45 degrees, and 45 degrees
d. Angles 90 degrees , 60 degrees, and 60 degrees
Answer:
only A & C possible
Step-by-step explanation:
the sum total of the two smallest sides should be bigger than the third.
the sum total of the three interior angles should be 180 degree
Find the number that makes the ratio equivalent to 6:10.
60:
Answer:
60;100
Step-by-step explanation:
Multiply 10 each side
HELP ME PLEASE im gonna fail lol
Randall has 19 coins in his pocket. 12 are quarters, and the others are pennies. Randall selects two coins at random from his pocket replacing each coin before drawing the next coin. Which answer choice best describes this event?
A. This is an independent event because he is replacing the coin before drawing the next one.
B. This is a dependent event because he has different amounts of coins in his pocket.
C. This is an independent event because he could select a quarter and then a penny.
D. This is a dependent event because he could select a quarter and then a penny.
Answer:
it might be C
Step-by-step explanation:
I'm just guessing
Shannon is asked to draw a quadrilateral with the following specifications.
two opposite angles measure 51°
adjacent angles are supplementary
a side length of eight inches
Which of the following statements about this quadrilateral is true?
A. Exactly one quadrilateral exists with the given conditions, and it must be a parallelogram.
B. More than one quadrilateral exists with the given conditions, and all instances must be parallelograms.
C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.
D. More than one quadrilateral exists with the given conditions, and all instances must be rhombuses.
Answer:
C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.
Step-by-step explanation:
Rectangular
Has 4 sides that are the same length
Has 4 angles of 90 degrees
Has 4 axes of rotation and folding symmetry
꧁༺62ᴅᴏᴄ༻꧂
if needed i will show the other answers
Answer:
It will take 518 calorie smoothy that she had for breakfast in the morning.
Please help me! I need part A and part B. Please help me! PLEASE!!
Answer:
JUST TO START I COMMENT ON THIS SORRY
Step-by-step explanation:
4366+766
5251551=8654
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
How do the sample statistics compare to the population mean and standard deviation?
Answer:
6.25
Step-by-step explanation:
250/40=6.25
Identify the graph of the following equation.
y ≥ −1
Answer:
It's the 5th graph
Step-by-step explanation:
if it's 7:20 PM what time would it be if 90 minutes passed? HELP!!!
Answer:
The answer is 8:50 PM.
Step-by-step explanation:
If it's 7:20 PM, then what time is it 90 minutes from now?
Start with 30. It would be 7:50 PM. So, add 10 more minutes (with 50 minutes more to add) and you have 8:00 PM. Add your last 50 minutes. The time would be, as shown above, 8:50 PM.
Volunteers at Sam's school use some of the student council's savings for a special project. They buy 8 backpacks for $8 each and fill each backpack with paper and pens that cost $3. By how much did the student council's savings change because of this project?
The savings was changed by
dollars.
Answer:
The savings were changed by $88
Step-by-step explanation:
1 backpack costs 8 dollars and they bought 8 of them, you have to multiply 8 dollars by 8 cause there is 8 backpacks which is 64 , pen and pencils for 1 backpack costs 3 dollars , so you have to multiply 3 by 8 cause there are 8 backpacks which is 24. then you add 64 and 24 which is 88
Sam made a password that consists of one letter followed by two digits. The two digits are different. How many possible passwords did Sam choose from?
90, 720, 2,340, or 260?
Answer:
720
Step-by-step explanation:
I have a question that says: Sound is used to measure ocean depth. Sound travels 1.5 km per second through water. If it takes 3.7 seconds for a sound to reach the bottom of the ocean, how deep is the water? It is not that I can't solve the problem, I don't know the problem is asking. The only thing I know is that it multiplication. Please help me.
Hey there!
All you need to do to answer this question is to do 3.7 x 1.5 = 5.55 km. I hope this helps you out. Have a good day :).
5 - (-4) write in addition
Answer:
--=+
Step-by-step explanation:
5-(-4)
5+4
9 is your answer
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
Help me help me lol please meh
Answer:
Owen is not smart
and yes D is correct also (5x10^5)
Step-by-step explanation:
Hehe :D
pls help i need help
Answer:
your answer would be 7285.63
Having two periods means it has two groups of digits separated by a comma.
6 digits would be xxx,xxx
An 8 worth 80 means the 8 is in the tens place.
And you have a 2 in the hundreds place.
All other digits can be any number.
Answer: 543,280
Please help me on this question
Answer:
125 10/14
Step-by-step explanation:
the 125 doesn't actually matter so you can ignore that part.
since it is being divided by 14, the denominator of the fraction is 14. the remainder is 10, so the answer should be in the form of x 10/14, which the 1st answer is
Help plz. Name the vector and write it in component form.
Answer:
J and X
Step-by-step explanation:
Vector means the dot of an angle or ray
I WILL MARK AS BRAINLIEST! Simplify
Step-by-step explanation:
Absolute value is a number is the positive value of it.
[tex] | - 29 - 13| = | - 36| = 36[/tex]
[tex] |39 - 62| = | - 23| = 23[/tex]
[tex] | - 59 - 41| = | - 100| = 100[/tex]
[tex] | - 26 + 71| = |45| = 45[/tex]
se necesitan 4 trabajadores y 9 horas para pintar un cerco si el trabajo debe completarse en 6 horas Cuántos trabajadores se necesita para pintar el cerco
Answer:
english
Step-by-step explanation:
Is 3^2+3^3 equal to 3^5? Yes, expressions are
No are not
Explain:
Answer:
No & Are not
Step-by-step explanation:
(3^2)+(3^3) = (3x3)+(3x3x3) = 36
3^5 = 3x3x3x3x3 = 243
A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a lap around a racetrack. Why are velocity and speed the same for a 100 m sprint but not a 400 m sprint
Answer
Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.
Step-by-step explanation:
<3
Cans someone help me with 6 and 7 please I am very confused on this two so I’ll appreciate it if u help me!
Answer:
6. $127.50
7. 275c
Step-by-step explanation:
Q6)
Kerry's workday is 10 hrs. and works 40 hrs. per week, Kerry works for 4 days
Watson's workday is 8 hrs. and works 40 hrs. per week, Watson works for 5 days
Kerry: works 4 days and gets paid $ 12.75 per cat & grooms 15 cats per day, so Kerry makes = 4(12.75 × 15) = 4(191.25) = $ 765
Watson: works 5 days and gets paid $ 12.75 per cat & grooms 10 cats per day, so Watson makes = 5(12.75 × 10) = 5(127.50) = $ 637.50
∴ The difference between their weekly earning is 765 - 637.50 = $ 127.50
Q7)
Given:
There are 'c' number of conferences rooms in the Texas Hotel
Number of foldable chairs in each room = 275
Solution:
So, the total number of chairs in all conference rooms would be c X 275
= 275c
