A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?

Answers

Answer 1

Step-by-step explanation:

Let +a+ = liters of 40% solution needed

Let +b+ = liters of 25% solution needed

+.4a+ = liters of HN03 in 40% solution

+.25b+ = liters of HN03 in 25% solution

------------------------------------

(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+

(2) +a+%2B+b+=+57+

-----------------

(1) +.4a+%2B+.25b+=+.26%2A57+

(1) +.4a+%2B+.25b+=+14.82+

(1) +40a+%2B+25b+=+1482+

Multiply both sides of (2) by +25+

and subtract (2) from (1)

(1) +40a+%2B+25b+=+1482+

(2) +-25a+-+25b+=+-1425+

+15a+=+57+

+a+=+3.8+

and, since

(2) +a+%2B+b+=+57+

(2) +3.8+%2B+b+=+57+

(2) +b+=+53.2+

3.8 liters of 40% solution are needed

53.2 liters of 25% solution are needed

check:

(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+

(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+

(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+

(1) +14.82+=+.26%2A57+

(1) +14.82+=+14.82+

think you should got the answer


Related Questions

which one is right and which one is wrong? what are the errors made? ​

Answers

We need a photo or something to answer. Brainliest please!

Find the time based on the information given.
The time is ___ hours.

Answers

Answer:  0.28 hours

Step-by-step explanation:

Time = Rate ÷ Distance

        = 140.9649 mph ÷ 500 miles

        =  0.28 hours

89.2x5.3
show steps ppls

Answers

Answer:

472.76

Step-by-step explanation:

6:29

Multiplying decimals: place value (video)

Khan Academy · Khan Academy

Mar 23, 2021

I need help on this math it’s 7th grade

Answers

Answer:

4 times as long

Step-by-step explanation:

If im wrong, delete this.

Answer:

The wavelength of red light is 2 times longer than the wavelength of violet light.

Step-by-step explanation:

8 times 10^-7 written in standard form is 0.0000008

4 times 10^-7 written in standard form is 0.0000004

divide both of them:

=2

х
f(x)
o
Complete the table using the
function f (x) = 2(x + 2) + 4x.
16
10
94
TYPE ONLY NUMBERS
The number that goes with O is
The number that goes with 16 is
The number that goes with 10 is
The number that goes with 94 is

Answers

x= 0

f(0)= 2(0+2)+ 4(0)= 4

f(16)= 2(16+2)+ 4(16) = 100

f( 10) = 2(10+2) + 4(10)= 64

f(94)= 2( 94+ 2) + 4(94) = 568

Please help me solve this ASAP

Answers

Answer:

6. [tex]\pi = \frac{C}{2r}[/tex]

7. Translation

Step-by-step explanation:

6: To solve for π means to isolate it on one side.

Step 1: Divide both sides by 2r.

[tex]\frac{C}{2r} = \frac{2\pi r}{2r}[/tex] [tex]\pi = \frac{C}{2r}[/tex]

Therefore, π = circumference over twice the radius, or circumference over diameter.

7: #7 is a translation because each point is moving vertically 3 units and horizontally 1 unit (3 units up and 1 unit to the right). If it were a reflection, we'd be able to spot a line of reflection, but there isn't any here. Also, if it were a rotation, the triangle would change the way its angled, and it'd be in a different quadrant

Therefore, this is a translation.

What is the value of the digit 6 in
59,732.106?
6 hundredths
B
6 ten-thousandths
6 tentos
6 thousandths

Answers

ten thousandths because it goes tenths hundredths ten thousandths

Answer:

6 thousandths.

Step-by-step explanation:

The 1 in the number 59,732.106 would the tenth value.

The 0 in the number 59,732.106 would be the hundreth value since its past the decimal point,

The pattern goes by the tenth, hundredth, thousandth, and then ten-thousandth.

-kiniwih426

25
25 raise to power 5 x equals to 625
[tex]25 ^{ 5x = 625 }[/tex]

Answers

Answer:

If you want what x equals it should equal 5^-6

Step-by-step explanation:

PLZZ HELLPP! WILL MARK BRAINLIEST!! if 12 cats can catch 6 rats in 2 hours, how many hours would it take 50 cats to catch 75 rats?

Answers

It would take 50 cats 4 hours to catch 75 rats as each cat catches .25 rats an hour.

Solve for x. Show each step of the solution.
2.5(4-x)+12=21-4(2.5x+7)

Answers

Answer:

x=-58/15

Step-by-step explanation:

distribute first 10-2.5x+12=21-10x-28

Simplify(add the numbers) 22-2.5x=-7-10x

move the variable to the left side 22-2.5x+10x=-7

move the constant to the right side -2.5x+10x=-7-22

simplify like terms 7.5x=-29

divide by 7.5                       x=-58/15

alternate forms are x=-3 13/15                or  x=-3.86

Is line p || to line q? Why?

Answers

Step-by-step explanation:

yes, because the angles match. per rule of intersecting lines the angles in one side of an intersected line are the same but mirrored on the other side of the line.

since q behave exactly as p would regarding the intersecting angles, they are parallel.

32 450 to nearest hundred

Answers

Answer:

32,500

Step-by-step explanation:

Hi to the nearest 100 it would be 32,500 as it is a 5 after the 4 you have to round up.

Hope this helps !

let h(x) be the inverse of f(x).If h(x)=-4+1 find f(x)

Answers

Assuming you meant to type h(x)=-4x+1

Answer:

[tex]f(x)=-\frac{1}{4}x+\frac{1}{4}[/tex]

Step-by-step explanation:

We know that, because [tex]h(x)[/tex] is the inverse of [tex]f(x)[/tex], that [tex]h(f(x))=x[/tex], so [tex]-4f(x)+1=x[/tex].

Aha! We can solve for [tex]f(x)[/tex]!

We subtract [tex]1[/tex] from both sides to get [tex]-4f(x)=x-1[/tex].

Finally, we divide both sides by [tex]-4[/tex] to get [tex]\boxed{f(x)=-\frac{1}{4}x+\frac{1}{4}}[/tex].

Store A sells four bags of chips for $5.00. Store B sells eight bags for $7.00. Which has the lower unit price? Show your work using mathematics.

Answers

Answer:

none because the price is just one dollar up for each store and the bags of chips are 1 less than how much you have to pay.

Step-by-step explanation:

Solve for x using the figure to the right. x=

Answers

Answer:

Step-by-step explanation the answer is 3

Write the equation of the line in fully simplified slope/intercept form

Answers

Answer:

y = m x + b      standard form for straight line

m = (y2 - y1) / (x2 - x1)

When y2 = 12,  x = -6

when y = 0, x = -2

m = (12 - 0) / (-6 - (-2)) = -3

so y = -3 x + b

Also, when x = 0, y = -6

Our equation is

y = -3 x - 6

As a check try x = -2

y = (-3 * -2) +  (-6) = 0     as the graph shows

1. Find three consecutive interferes whose sum is -30. (Answer choices) A.)-8, -10, -12 B). -11, -12, -13 C.) 11, -10, -9 D.) -8, -9, -10

Find three consecutive even internet’s whose sum is 120
A.) 38, 39, 40
B.) 39, 40, 41
C.) 36, 38, 40
D.) 38, 40 , 42
HELP ASAP

Answers

Answer:

] The three consecutive even numbers are 38, 40 and 42. The smallest of the three is clearly 38.           Step-by-step explanation:Even numbers are of the form [math]2k[/math], [math] k \in \mathbb{Z}[/math]. Three consecutive even numbers are of the form [math]2k[/math], [math]2(k+1)[/math], [math]2(k+2)[/math]. We have that their sum is 120 therefore [math]\\2k + 2(k+1) + 2(k+2) = 120 \Leftrightarrow k+(k+1)+(k+2) = 60 \Leftrightarrow 3(k+1) = 60 \\ \Leftrightarrow k+1=20 \Leftrightarrow \boxed{k=19}.[/math

Use the table from Callie's Candies to answer the question.



Lily is buying candy for party favors. She needs 1.5 pounds of chocolates, 0.75 pounds of mints, and 15 lollipops. What is the total cost for the candy?
A.
$5.84

B.
$8.82

C.
$15.30

D.
$18.27

just show the letter

Answers

We can use logic along with 3 linear equations to solve this problem.

For the three types of candies, we will write a slope-intercept form equation. We know what m (slope) is for each equation, and there is no y-intercept because there is no starting point.

Equations:

Mints: y=.96x
Chocolates: y=4.70x
Lollipops: y=.07x

Using the given information, we can use the equations in function form. We know what x (input) is for all three types of candy, and that will give us y (output), which is the total for that candy type.

Solving:

Mints: y=.96(.75)
Chocolates: y=4.70(1.5)
Lollipops: y=.07(15)
We just input our information into the equations. Using logic, we know that we will have to multiply the cost of the candy by the number of candies to get the total of the three types.

Totals:

Mints: y=.72
Chocolates: y=7.05
Lollipops: y=1.05.
*Recall that y=total cost of candy for each type.

Now, we just simply add the three costs up to get the total sum that the candy will cost:

.72+7.05+1.05=8.82

Therefore, all the candy will cost $8.82.

There are 109 nanoseconds in 1 second.
Find the number of nanoseconds in 5 minutes, giving your answer in standard form.

Answers

it will be 2,725 nanoseconds

The table shows the times of the top six swimmers in the women's 100 meter butterfly at the 2021 Olympic Games.

Answers

Answer:

with 6 rows. Column 1 is labeled Place with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Time (seconds) with entries 55.98, 56.87, 56.94, 57.17, 57.27, 57.35. Between which two places is the difference in finishing times the shortest? What is the difference in those times?  

Step-by-step explanation:

What expression would give a sum of 16

What expression would give you a product of 16

Answers

Answer:

12+4 is the expression that will give you a sum of 16

4•4 is an expression that will give you a product of 16

remember an expression does not have an equal sign if it had an equal sign then it would be an equation and expression has no equal sign

AHH HELPPPP !!!!
-In the following diagram, two parallel lines are cut by a transversal. The measure of which angle is equal to the measure of angle 1 ?
a - angle 2
b - angle 3
c - angle 4
d - angle 6

Answers

Answer:

angle 4

Step-by-step explanation:

1 and 4 are vertical angles

∠1 = ∠4

This according to the vertical angle theorem

Hope this helps!!

Help, somebodyyyyyy aaaaa I need an explanation :<

Answers

Answer:

Step-by-step explanation:

wht grade is this?

HELPPP
Find the domain of the function represented by the graph. Determine whether the domain is discrete or continuous.

Answers

Continuous, Domain is {0<~x

Which situation can be represented by the equation 4d + 5 = 29?

Answers

Answer:

d=6

Step-by-step explanation:

subtract 5 from both sides

then simplify what you get

then divide both sides by 4

then simplify to get answer

16. Make Sense and Persevere
Meghan's vegetable garden is pictured
below. What is its area?
21 ft
18 A
12 ft
38 ft

Answers

I would have to see the photo, sorry.

if it takes 40 gallons of gas to drive 750 miles, then how many gallons are needed to drive 300 miles?

Answers

1 gallon equals 18.75 mild substitute

through: (2,5), parallel to x=0

Answers

Answer: y = 0x + 5

Step-by-step explanation: Parallel means same slope and then substitute the numbers for b.

Alexandra had a 15% coupn for movie tickets. The total cost of the movie tickets was $66. How much did she pay after the discount?

Answers

Answer:

$56.10

Step-by-step explanation:

Alexandra has a $66  ticket with a 15% discount. 15% of 66 is 9.9

Subtract the discount (9.9) from the cost $66

$66-$9.9= $56.10

Answer:

i think its 9.9

Step-by-step explanation:

just use a calculator

what rational function is this?
vertical asymptote: x=6
horizontal asymptote: y=0
x intercepts: none
y intercepts: (0,2/3)
no removable discontinuities
end behavior: as x approaches -infinity, y approaches 0. as x approaches infinity, y approaches infinity. as x approaches 0, y approaches infinity. as x approaches -infinity, y approaches infinity

Answers

Answer:

even degree with positive leading coefficient for end behavior x ----> infinity, y ---> infinity

Step-by-step explanation:

I have a chart you can use

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