How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Answers

Answer 1

Answer:

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Step-by-step explanation:

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Let x be the number of liters of the 45% acid solution

The number of liters of the 70% acid solution is y

x + y = 50

x = 50 - y

Also

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution?

We have:

45% × x + 70% × y = 65% × 50

0.45x + 0.70y = 0.65 × 50

0.45x + 0.70y = 32.5

We substitute x = 50 - y in the equation

0.45(50 - y) + 0.70y = 32.5

= 22.5 - 0.45y + 0.70y = 32.5

= - 0.45y + 0.70y = 32.5 - 22.5

= 0.25y = 10

Divide both sides by 0.25

= y = 10/0.25

y = 40 liters

x = 50 - y

x = 50 - 40

x = 10 liters

Hence,

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters


Related Questions

Fill in the blank: A student earned a grade of 80% on a math test that had 20 problems. The student answered ______ questions correctly on the math test. (Write the number only.) *

Answers

hahahahahahahahahahahahahahah

The number is 16

PS: had to type more than 20 words

Answer:

16

Step-by-step explanation:

80 X 20 = 16 questions answered correctly.

The ratio of the perimeter of two similar polygons is 5:7. The area of the smaller polygon is 30 sq. cm. Find the area of the larger polygon.

Answers

Answer:

42sq

Step-by-step explanation:

       5:7

30 sq: x sq

30/5=6 sq for 1 of the ratio

6*7=42 sq for 7 of the ratio

Given the expressions: 5x+2(x-4) and 7x-8 first prove that they are both equivalent and explain why your method proves this.

Answers

Use distributive property on first equation
5x + 2x - 8
Combine lick terms
7x -8
They are equal

5 AB is the diameter of a circle whose center is the point (4,-3). If the coordinates of A are (-1,5), Find AB>

Answers

Given:

AB is the diameter of a circle whose center is the point (4,-3).

Coordinates of A are (-1,5).

To find:

The measure of AB.

Solution:

Let point O(4,-3) be the center of the circle.

Then, OA is the radius of the circle.

We know that, diameter of a circle is twice of its radius.

So, [tex]AB=2(OA)[/tex]       ...(i)

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between O and A is

[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]

[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]

[tex]OA=\sqrt{25+(8)^2}[/tex]

[tex]OA=\sqrt{25+64}[/tex]

[tex]OA=\sqrt{89}[/tex]

Now, using (i), we get

[tex]AB=2(OA)[/tex]

[tex]AB=2(\sqrt{89})[/tex]

[tex]AB=2\sqrt{89}[/tex]

Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.

Please solve for y P=2x+2y+4

Answers

Answer:

Step-by-step explanation:

P=2x+2y+4

y=p/2-x-2

The equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Solve for y P=2x+2y+4

From the data given in the question:

The linear equation is:

P=2x+2y+4

To solve for make the subject as y:

2y = P - 2x - 4

y = (1/2)[P - 2x - 4]

Or

y = P/2 - x - 2

Thus, the equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

A student is learning about positive and negative numbers with manipulatives. Each black cube represents + 1 , and each white cube represents − 1 . If there are currently 15 black cubes on the student's desk, how many white cubes must the student add to the desk for the combined value of the cubes to represent 0 ?

Answers

Answer:

15 white cubes

Step-by-step explanation:

Given

[tex]White\ Cubes = -1[/tex]

[tex]Black\ Cubes = +1[/tex]

[tex]Number\ of\ Black\ Cubes = 15[/tex]

Required

Determine the number of white cubes needed to represent 0

To solve this question, we make use of the following equation.

[tex]Black\ Cubes +White\ Cubes = 0[/tex]

If there are 15 black cubes, the the 15 black cubes is worth: +1 * 15

Substitute +1 * 15 for the Black Cubes

[tex]+1 * 15 +White\ Cubes =0[/tex]

[tex]+15 +White\ Cubes =0[/tex]

Collect Like Terms

[tex]White\ Cubes = 0 - 15[/tex]

[tex]White\ Cubes = - 15[/tex]

Recall that 1 white cube is worth -1

So, the number of white cubes is:

[tex]Number = \frac{-15}{-1}[/tex]

[tex]Number = 15[/tex]

Hence, the student needs 15 white cubes

Which statement is true about the lengths of the sides?
Each side has a different length,
Two sides have the same length, which is less than
the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the
length of the third side.

Answers

Answer:

The three sides have the same length.

Step-by-step explanation:

Answer:

B. Two sides have the same length, which is less than the length of the third side.

Step-by-step explanation:

I think,  :-P

Simplify 3 x + 6 x 2 - 5 x - x 2 .

A 5 x 2 - 2 x
B 6 x 2 + 2 x
C 5 x 2 + 2 x
D 6 x 2 - 2 x

Answers

pretty sure it’s 5x^2 - 2x

Jon owns a hamburger stand. He creates a function for the number of dollars in his register (d) in relation to the number of hamburgers (h) he sells. d=3h+8 How much does he charge for a hamburger? 1 dollar 1 dollar 2 dollars 2 dollars 3 dollars 3 dollars 8 dollars

Answers

Answer:

The amount charged for a hamburger is $11

Step-by-step explanation:

The function relating the amount d charged with the number of hamburgers is;

d = 3h + 8

The amount charged for a hamburger can be calculated by substituting the value 1 for h

Thus, we have;

d = 3(1) + 8 = $11

If you have 2\10 of an apple, how many fifths do you have

Answers

Answer:

4/5

Step-by-step explanation:

1 - 2/10 = 8/10 = 4/5

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

You have [tex]\frac{2}{10}[/tex] ( divide numerator and denominator by 2 ), that is

[tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]

help first to answer gets brainlyset On a field trip, there are 3 chaperones for every 20 students. There are 92 people on the field trip. How many students are there?

Answers

Answer: There are 80 students.

Step-by-step explanation: 20x4=80

3x4=12

12+80=92

Reflections of the coordinate plane homework 3

Answers

Answer:

can we have more info please?

Step-by-step explanation:

HELP!!!!!!!!!!!!!! I ONLY HAVE 5 MIN TO TURN THIS IN!!!!

Answers

Answer:

I think A but I might be wrong

Help ASAP if you want brainliest

Answers

Answer:

A. 1. mph

C. 3. hpm

Step-by-step explanation:

1. What is the value of x in this equation? 5x – 2(2x - 1) = 6 *
A.3
B.4
C.7
D.8

Answers

Answer:

Answer B. 4

Step-by-step explanation:

Equations

Solve the equation:

5x - 2( 2x - 1 ) = 6

Operate the parentheses:

5x - 4x + 2 = 6

Collect like terms:

x + 2 = 6

Subtract 2:

x = 6 - 2

x = 4

The value of x is 4

Answer B. 4

can you help pls jhgyihjopk[[knbh

Answers

Answer:

The lower right table

Step-by-step explanation:

The table of that's the right answer consists of f(x) and x points that when plugged into the equation make the equation equal.

Let's go through each of the tables to check.

Upper Left Table:

(Remember that f(x) and y are interchangeable)

- Let's plug in the first paired set (0,6) into the equation

[tex]y = -2x + 6 \\6 = -2(0) + 6\\6 = 6[/tex]

So, this one seems right so far. It also let's us eliminate some answers!

The upper right and lower left tables can't be right because in order for the equation to be equal, f(x) has to be 6 when x equals 0

Let's plug more paired sets into the equation from the upper left table

[tex]y = -2x + 6\\10 = -2(2) + 6 \\10 = -4 + 6 \\10 = 2[/tex]

This doesn't work so let's check to see if the lower right table is correct!

[tex]y = -2x + 6 \\2 = -2(2) + 6\\2 = -4 + 6\\2 = 2[/tex]

Since the equation is equal, this has to be the right answer!

Hope this helps!!

- Kay

Lower right table is what the answer is

i need help plzzzzzz
thanks

Answers

Answer:

Step-by-step explanation:

5/6b+5-2/3b-2

    1/6B+ 3

does anybody even understand algebra?

Answers

Answer:

I do not understand thank you for asking

Step-by-step explanation:

thank you

Answer:

B (2,22)

Step-by-step explanation:

please help me out....​

Answers

Answer:

It is the first one, so

7u + 5v

Answer:

7u+5v (A)

Step-by-step explanation:

3u+4u=7u

7v-2v=5v

7u+5v

PLS GIVE BRAINLIEST

Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?

Answers

Answer:

y=2x-8

Step-by-step explanation:

gradient = 1-6 / -6-4

= 2

y=2x+c

substitute one of the points

4=2*6+c

c=-8

y=2x-8

Vocabulary Explain why each relationship is not linear PLEASE HELP ASAP

Answers

Answer:

11) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 1 every time but the y-value is not constant. It goes up by 2 from 4.5, 6.5, 8.5, but then at 8.5 to 11.5, it went up by 3 which means that it's not a constant rate of change and is not linear.

12) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 2 every time but the y-value is not constant. It went down by 14 then 16 and 18. All these numbers and different which means that the table does not have a constant rate of change and is not linear.

Step-by-step explanation:

Always remember that linear tables, graphs, etc have a constant rate of change.

Hope this helps you

Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

7x+3 = 8x +1

x=2

the answer is 2

y + 2x = −1
3y − x = 4

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

y+2x=−1

Step 1: Add -y to both sides.

2x+y+−y=−1+−y

2x=−y−1

Step 2: Divide both sides by 2.

2x

2

=

−y−1

2

x=

−1

2

y+

−1

2

Answer:

x=

−1

2

y+

−1

2

Answer:

Answers below

Step-by-step explanation:

Q1.  2x=−1−y

=

​2

​−1−y

​​

Q2.     −x=4−3y

x=−4+3y

x=3y−4

What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)

Answers

Answer:

x= 19/7

Step-by-step explanation:

3y + 2 = -6x

in slope-intercept form : y=mx+b
oh and please show work! Thank youuu

Answers

The answer is y = -2/3x -2

Just have to Subtract two on both sides the. Divide all numbers by 3

Could you please mark me brainleist

Answer:

y= -2x- [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

3y+2=-6x

3y=-6x-2

y= [tex]\frac{-6}{3}[/tex]x - [tex]\frac{2}{3}[/tex]

y= -2x - [tex]\frac{2}{3}[/tex]

You isolate for y in this example by moving the 2 to the other side and then dividing the -6x and -2 by 3 to get the y by itself.

DO NOT GIVE ME THE ANSWER! Please just tell me how I can find the answer!

Answers

Answer:

9x$1.92

Step-by-step explanation:

Synthetic Division

(6n^3 - 57n^2 + 69n - 14) ÷ (n - 1/2)

Answers

Answer:

[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]

[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]

                                                                                                                                                                               

                                                                               [tex]\frac{1}{2}[/tex]  | 6     -57    19    -14                                          

                                                                            +   |           3    -27    -4                                                                                            

                                                                                Q =  [6     -54     -8]   |-18 =R              

[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]

Hence,

As the divisor is rational,  

The quotient would be multiplied by the zero(1/2).

[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]

[tex]Remainder =-9[/tex]

                                                                                                                                                                       

$12.50 for 5 ounces Write a unit rate for the situation.

Answers

Answer:

$2.50 per ounce

Step-by-step explanation:

12.50÷5= 2.50

Answer:

$2.50c

Step-by-step explanation:


Kara's car used 1/16 gallons
of gas to drive 1/8 of a mile. At
this rate, how many miles can
Kara's car drive using one
gallon of gas?

Answers

1/16*16= 1
1/8*16= 2

Answer= 2 miles

The radius of Earth is 6,371.0 kilometers and the radius of Earth's Moon is 1,737.5 kilometers. What is the approximate difference in the circumferences, in kilometers, of Earth and Earth's Moon? Round your answer to the nearest tenth of a kilometer.

Answers

Answer:

Step-by-step explanation:

Circumference of a circle is expressed as;

C = 2πr

r is the radius

Given

radius of Earth r1 = 6,371.0 kilometers

the radius of Earth's Moon r2 = 1,737.5 kilometers

The difference in their circumference will be expressed as;

C = 2π(r1-r2)

C = 2π(6371.0-1737.5)

C = 2π(4633.5)

C = 2(3.14(4633.5))

C = 29,098.38km

C = 29,098.4

Hence the difference in their circumference to the nearest km is 29,098.4km

Answer:

We calculate for the circumferences of Earth and moon by using the equation,

                               C = 2πr

For Earth,

                               C = 2π(6371 km) = 40030.2 km

For Moon,

                              C = 2π(1737.5 km) = 10917.0 km

The difference between the two circumferences is 29113.2 km approximately.

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