The amount of water that should be added to 5 gallons of 50% acid to get 20% solution is 7.5 gallons.
Word problems in mathematics requires crucial understanding and mathematical knowledge to be able to solve real life cases.
From the information given:
Let consider (x) to be the amount of water to be added 5 gallons of 50% acid solution will be = 5 × 0.5 = 2.5 gallons of acid in 50% solution.∴
The amount of water to be added can computed by using the relation:
[tex]\mathbf{\dfrac{2.5}{x+5} = 20\%}[/tex]
[tex]\mathbf{2.5= 0.2(x+5)}[/tex]
2.5 = 0.2x + 1
2.5 - 1 = 0.2x
1.5 = 0.2x
x = 1.5/0.2
x = 7.5
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the sum of two numbers is 30. the difference one the two numbers is 4
Answer:
20+10 is 30 5x6 is 30
Step-by-step explanation:
so just add numbers to find 30
Answer:
first number is 17 and second number is 13
Step-by-step explanation:
let the numbers are x and y
if their sum is 30 and difference is 4
then
x+y=30 --------------1equation
x-y=4 -----------2equation
add both the equations,
2x=34
x=17
then
put the value of x in 1equation,
x+y=30
17+y=30
y=30-17
y=13
then,
first number is 17 and second number is 13
Solve four ninths minus four tenths equals blank.
Answer:
2/45
Step-by-step explanation:
What is 40% of 40 Million?A. 28,000,000B. 5,000,000C. 16,000,000D. 38,000,000
Answer: It is C 16,000,000
Step-by-step explanation: I am 100% sure.
Palawbhehrht awnser yes or mo
Answer:
yes
Step-by-step explanation:
Graph the line with the equation y = 2x - 2
Answer:
y-intercept is -2 slope is up 2 right 1(2/1)
Step-by-step explanation:
Which graph represents the function f(x) = −|x − 2| − 1?
Answer:
Graph C
Step-by-step explanation:
solve the following equation: 0.4(g-2)+1.2=-(g-1)+2.9
Answer:
g = 2.5
Step-by-step explanation:
0.4(g - 2) + 1.2 = - (g - 1) + 2.9 ← distribute parenthesis on both sides
0.4g - 0.8 + 1.2 = - g + 1 + 2.9 ( simplify both sides )
0.4g + 0.4 = - g + 3.9 ( add g to both sides )
1.4g + 0.4 = 3.9 ( subtract 0.4 from both sides )
1.4g = 3.5 ( divide both sides by 1.4 )
g = 2.5
Which pairs of angles are alternate interior angles? Select all that apply.
A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8
PLEASE HURRY!!
−x<−29 solve for X just please commet fast im on khan right now
Answer:
x > 29
Hope you level up in khan :)
[tex]-x <-29 <=>\frac{-x}{-1} >\frac{-29}{-1} <=>x >29[/tex]
Ok done. Thank to me :>
can someone help with this
[tex]R.H.S\\\\=(a+b)(a^3-a^2b-ab^2+b^3)\\\\=a^4-a^3b-a^2b^2+ab^3 + ba^3-a^2b^2-ab^3+b^4\\\\=a^4+b^4-2a^2b^2\\\\\neq a^4 +b^4\\\\\\\text{Hence, }(a+b)(a^3-a^2b-ab^2+b^3) =a^4+b^4 ~ \text{is not true.}[/tex]
Find the value of the variables.
Answer:
d=8√2 = 11.31
x=3√3 = 5.20
y=6√3 = 10.39
Step-by-step explanation:
d²=8²+8²
d²=64+64
d²=128
d=√128
d=√64*2
d=8√2 = 11.31
30-60-90 triangle
x-x√3-2x
x√3=9
x=9/√3
x=3√3
y=2x
y=2 * 3√3
y=6√3
How many ways are possible to select a president and vice president from an
association with 5400 members?
The Answer there are 9*8 = 72 ways to choose a president and vice president
Step-by-step explanation:
0.2(3m − 6) + m = 2 for 8th grade
Answer:
2
Step-by-step explanation:
0.6m-1.2+m=2
1.6m-1.2=2
1.6m=3.2
m=2
is this correct ? if not what’s the correct answer?
Answer:
YES 68 is the correct answer
If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?
A) $0.89
B) $0.79
C) $1.29
D) $1.09
5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?
Answer:
eight years
Step-by-step explanation:
at year one: nabisco 30k and keebler: 36k
year two: nabisco: 33k and keebler: 38k
year three: nabisco: 36k and keebler: 40k
year four: nabisco: 39k and keebler: 42k
year five: nabisco: 42k and keeber: 44k
year six: nabisco: 45k and keebler 46k
year seven: nabisco: 48k and keeber 48k
year eight: nabisco: 51k and keebler 50k
help with my math please
Answer:
j mmmmmmm
Step-by-step explanation:
mmmmmmmmm
Solve the system of inequalities by graphing.
12x+6y≥15
2x-4y>8
Answer:
?
Step-by-step explanation:
9. An expression is subtracted from 2p+9q + 100 to get –5p + 7q + 50. What is that expression?
Answer:
-3p + 16q + 150
aaaaaaaaaaaaaaaaaaaa
Answer:
what grade are you??..........
| x | < 2
solve the inequality and then graph the solution
Answer:
Any number smaller than 2
Step-by-step explanation:
You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2
Given the word FAMILY, find the number of ways you can arrange with all letters
Answer:
That's impossible to make another word with all those letters used together.
But 5 letter words like filmy and flamy
and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.
And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai, and ail
and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.
It's not impossible
I Hope I Had HELPED You :)
SO there is 39 different ways to make other words with the letters you have given me.
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
The number of ways that can be arranged with all letters is 720.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
FAMILY
The number of ways that can be arranged with all letters.
The number of letters in the word FAMILY.
= 6
The number of ways.
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 730 ways.
Thus,
The number of ways that can be arranged with all letters is 720.
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PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
third one
Step-by-step explanation:
a number is less than 3 1/2
Cooper drove his car for 2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant speed of 40 miles per hour. How far did Cooper drive?
100 miles
170 miles
180 miles
160 miles
Answer:
None of the answer choices show the correct answer.
The actual answer is 140 miles.
Step-by-step explanation:
Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.
60 * 2 = 120
Cooper then drove for another 30 minutes at a speed of 40 miles per hour.
30 minutes is half of and hour so we need to divide the 40 miles by 2.
40 / 2 = 20
Now we just have to add them together.
120 + 20 = 140
So the answer is 140 miles.
Hope this helps! :)
૮ ・ﻌ・ა
Express each ratio as a fraction in simplest form.
2 gallons to 27 quarts
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
The given ratio is:
2 gallons to 27 quarts
This can also be written as:
2 gallons : 27 quarts
Convert 27 quarts to gallons so that both items in the ratio can be of equal unit
Note that:
1 quart = 0.25 gallons
27 quarts = 0.25 x 27
27 quarts = 6.75 gallons
The ratio can therefore be re-written as:
2 gallons : 6.75 gallons
In fraction form:
2 gallons : 27 quarts = 2/6.75
Multiply the numerator and denominator by 4
2 gallons : 27 quarts = 4/27
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
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What is the expression after applying the distributive property? −12(−2+(−3))
Answer:
60
Step-by-step explanation:
-5.-12=60
Hey there!
-12(-2 + (-3))
= -12(-2 - 3)
DISTRIBUTE -12 within THE PARENTHESES
= -12(-2) - 12(-3)
= 24 + 36
= 60
Therefore, your answer is: 60
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How many solutions does 9 - 5x = 8 - 3x - 1 -2x have?
A. One
B. Two
C. Infinite
D. Zero
Answer:
D) Zero solutions
Step-by-step explanation:
9 - 5x = 8 - 3x - 1 - 2x
9 - 5x = 7 - 5x
9 = 7
Zero solutions
i took the quiz its D. Zero
Can someone plz help me?
Answethe answer is 12
Step-by-step explanation
Answer:
13 i think
Step-by-step explanation:
if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13
I AM ON MY LAST BRAINLY POINTS! NOBODY WILL HELP ME T-T! EVERYBODY SENDS ME RANDOM LINKS! IF U HELP ME U CAN GET THE CROWN
David mixed 5 3/8 cups of popcorn with 3 5/8 cups of pretzels. He then divided the snack into bags with 2/3 cups in each. After dividing, how many bags of snack bags will David have?
Answer: 13.5 bags
Explanation:
5 3/8 = 43/8
3 5/8 = 29/8
43/8 + 29/8 = 9
9 divided by 2/3 is 13.5
Hope this helps :)
Answer:
[tex]13 \frac{1}{2} [/tex]
Step-by-step explanation:
So first we can add the two snack together
So the
[tex]5 \frac{3}{8} + 3 \frac{5}{8} = 9[/tex]
Once we have that we can say 9÷2/3
And this will give us 13.5 or 13 and a half.
I really hope this helps
Which graph or graph shows a proportional relationship
Answer:
C) Graph A and Graph C
Step-by-step explanation:
A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.
Graph b does not show a straight line so B does not show a proportional relationship.
Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.
Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.
Thus, the answer is C) Graph A and Graph C