A researcher needs 25 mL or 45%
base Solution for a certain
expiriment, but she has only 15%
Solution and 65% Solution. How
many mL of the 15% and the
65% Solutions should she mix to
get what She needs?

Answers

Answer 1

Answer:

10 mL of 15% solution

15 mL of 65% solution

Step-by-step explanation:

If x is the volume of 15% solution, and y is the volume of 65% solution, then:

x + y = 25

0.15 x + 0.65 y = 0.45 (25)

Solve with substitution:

0.15 x + 0.65 (25 − x) = 0.45 (25)

0.15 x + 16.25 − 0.65 x = 11.25

0.50 x = 5

x = 10

y = 15


Related Questions

I’m looking for what kind of angles 2 and 6 are?

Answers

Answer:

Angles 2 and 11 are alternate interior angles I believe

Hope this helped!

Four of you go to an arcade. The owner charges you $6 for 2 hours to play and $2 for each
additional hour. If you paid a total of $10, how long did you play?

Answers

Answer:

the answer is 4 hours

Answer:

3 hours

Step-by-step explanation:

Since you payed 10 dollars you would take out $6 first then divide 4 by 2 which gives you two so two plus the first hour gives you 3 hours

12x+8
8x+12
р
Find the value of x using properties of parallel lines.
A) 1
B) 8
C) 3.5
D) 5

Answers

180=(12x+8)+(8x+12)
180=20+20x
-20. -20
160=20x
20. 20
X=8
B)8

Fun Zone charges an entrance fee
of $4.50 and $0.65 per ticket. Happy
Town charges $0.40 per ticket and a
$5.00 entrance fee. How many
tickets must be purchased in order
for the total to be the same at both
Fun Zone and Happy Town?

Answers

Answer:

2 tickets

Step-by-step explanation:

To be the same they must equal each other.

4.50 + 0.65x = 0.40x + 5

isolate the variable

subtract 4.50 from both sides

0.65x = 0.40x + 0.50

subtract 0.40x from both sides

0.25x = 0.50

divide both sides by 0.25

x = 0.50 ÷ 0.25

x = 2

3 ice cream cones cost $8.25. At this rate, how much do 2 ice cream cones cost?

Answers

Answer:

$2.75

Step-by-step explanation:

Cause $8.25 divided by 3 equals $2.75

hope this helps!

Select all the angles that are supplementary to <2

Answers

Answer:

<4 and <1

Step-by-step explanation:

look and you'll see if you remove the lines between them there is a 180 degree angle.

Someone help please this is very important

Answers

Answer:

car B is the least efficient shown in the graphic

Add, Subtract, Multiply , or Diviide? ANSWER ASAP 100 points

Answers

Answer:

Add

Step-by-step explanation:

When multiplying exponents with same base the operation is adding up

a^b*a^c = a^(b+c)

Answer:

[tex]add[/tex]

Step-by-step explanation:

When multiplying in same base the operation you have to do is adding

Ex:-

[tex] {a}^{2} \times {a}^{8} = {a}^{2 + 8} = {a}^{10} [/tex]

ASAP!Hey I’m confuse help!! 10 points

Answers

Answer:

i think you got them right

Step-by-step explanation:

Why is it better to use the metric system, rather than the English system, in scientific measurement?

The English system uses one unit for each category of measurement.
The metric system uses one unit for each category of measurement.
The English system uses consistent fractions that are multiples of 10.
The metric system utilizes a variety of number conversions.

Answers

Answer:

b

Step-by-step explanation:

It is better to use the metric system, rather than the English system, in scientific measurement because,

The metric system uses one unit for each category of measurement.

What is a metric system?

A system of measurements is called the metric system. It is employed in calculations and research across the globe.

Measurements for length include millimeters (mm), decimeters (dm), centimeters (cm), meters (m), and kilometers (km).

A foot equals 30.48 cm, however, a popular 30 cm rule measures every 1 cm, therefore the metric system also provides more exact measurements.

The English system is in fact based on the metric system because they look for reference materials to get the measurements.

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Chase is deciding between two parking garages. Garage A charges an initial fee of $8
to park plus $4 per hour. Garage B charges an initial fee of $12 to park plus $2 per
hour. Let A represent the amount Garage A would charge if Chase parks for t hours,
and let B represent the amount Garage B would charge if Chase parks for t hours.
Write an equation for each situation, in terms of t, and determine the hours parked,
t, that would make the cost of each garage the same.
A=
B
Answer:

Answers

Answer:

A: 8+4t. B:12+2t

Step-by-step explanation:

It would take 2 hours for them to equal each other

Answer: A=4t+12 B=5t=8 Answer: 4hours

Step-by-step explanation:

HELP ASAP: GEOMETRY

The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through each of the parallel segments. A sketch of two parking spaces is shown below.

2 diagonal parallel lines are cut by a horizontal transversal. Where the first parallel line intersects the transversal, the top right angle is angle 1. Where the second parallel line intersects the transversal, the top left angle is angle 2.
If m∠2 = 115°, what is m∠1?

Can somebody help me with the answer to this? I'll mark brainliest!

Answers

Answer:

m<1=65°

Step-by-step explanation:

180-115=65°

It would also be 115 degrees because they are the same angle. :)

Plz help I will mark you brainliest, also give an explanation if you can so I understand

Answers

Answer:

D

Step-by-step explanation:

[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {27}^{2} + {36}^{2} = 2025 \\ {45}^{2} = 2025[/tex]

Which statement is true about the parts of this expression?
5/6 + 1/4x - y
The constant is 5/6
The only coefficient is 1/4
The only variable is y.
The terms 5/6 and 1/4X are like terms.

Answers

A.The constant is 5/6

Find missing angle !.

Answers

Answer:

[tex]\huge\boxed{130 \textdegree}[/tex]

Step-by-step explanation:

We can use a couple of angle relationships to find the missing angle.

1. All angles in a triangle add up to 180°

We know that all angle in a triangle will add up to 180°. Since we know the measure of 2, we can find the other angle easily.

[tex]180-35-95\\\\180-130\\\\50[/tex]

So the other angle in the triangle is 50°.

2. The 50° angle and the missing angle are supplementary.

We know that the missing angle and the third triangle angle are supplementary. This means that their angle measures will add up to 180°.

Since we know one, we can find the measure of the other.

[tex]180-50\\\\130[/tex]

So the missing angle is 130°.

Hope this helped!

Answer:

Step-by-step explanation:

We can use a couple of angle relationships to find the missing angle.

1. All angles in a triangle add up to 180°

We know that all angle in a triangle will add up to 180°. Since we know the measure of 2, we can find the other angle easily.

So the other angle in the triangle is 50°.

2. The 50° angle and the missing angle are supplementary.

We know that the missing angle and the third triangle angle are supplementary. This means that their angle measures will add up to 180°.

Since we know one, we can find the measure of the other.

So the missing angle is 130°.

Solve the quadratic equation:
X? + 7x+10=0
x= -10, 7
X= 5, 2
x= -4,-1
X=-5, -2
help?

Answers

Answer:

           The last x=-5 or x=-2

Step-by-step explanation:

[tex]x^2+7x+10=0\qquad\implies\quad a=1\,,\ b=7\,,\ c=10\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-7\pm\sqrt{7^2-4(1)(10)}}{2(1)}=\dfrac{-7\pm\sqrt{49-40}}{2}=\dfrac{-7\pm\sqrt9}{2}\\\\ x_1=\dfrac{-7+3}2=\dfrac{-4}2=-2\,,\qquad x_1=\dfrac{-7-3}2=\dfrac{-10}2=-5[/tex]

x + 7 - 5x - 5 simplified

Answers

Step-by-step explanation:

x + 7- 5x- 5

= x - 5x +7- 5

= -4x + 2

= -2 (2x - 1)

Answer:

-4x+2

Step-by-step explanation:

Combine Like Terms:

x + 7 - 5x - 5

-4x + 7 - 5

-4x + 2

the question is in the screenshot

Answers

Answer:

The difference in cost per mile is $0.94.

Step-by-step explanation:

Uber

7x = 20.37

x = $2.91 per mile

Lyft

4y = 15.4

y = $3.85 per mile

3.85 - 2.91 = 0.94

Hello.

To find the difference in cost per mile, divide the cost by the amount of miles, then subtract the two answers.

20.37 / 7 = 2.91 (cost per mile {cpm} for Uber)

15.40 / 4 = 3.85 (cost per mile {cpm} for Lyft)

3.85 - 2.91 = 0.94

The difference in cost per mile is $0.94

Find the slope from point 0,0 to point 7,12



Slope = m = rise/run

=

y2​− y1​

x2​ − x1​​

Answers

The slope is 12/7. Take a look at the picture attached.

A number is randomly selected from the set {1, 2, 3, 4, 5, 6, 7, 8}. If the number chosen is greater than 3, what is the probability it is odd?

Answers

Answer:

Hello!

The probability that the number chosen is greater then 3 and odd is 2/8

There are 5 numbers greater then 3, and of those 5, five and seven are the only odd numbers. So that is 2/8

Step-by-step explanation:

There are 5 numbers greater then 3, and of those 5, five and seven are the only odd numbers. So that is 2/8

If you are only talking about the numbers that are actually greater then 3 as your population, it is 2/5 :)

(I would appreciate Brainliest, please and thanks)

If a number randomly chosen is greater than 3, the probability that the number is odd is 2/5

How to determine the probability?

The set of numbers is given as:

Set =  {1, 2, 3, 4, 5, 6, 7, 8}.

The numbers greater than 3 are:

G3 =  {4, 5, 6, 7, 8}

The odd numbers greater than 3 are

OG3 =  {5, 7}

The required probability is then calculated using:

P = n(OG3)/n(G3)

This gives

P = 2/5

Hence, the probability is 2/5

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9944 inches per second to feet per second​

Answers

Answer:

828.6667

Step-by-step explanation:

Slope (4,5)
Y-intercept b=172

What is the equation?

Answers

Answer:

y= 4/5 + 172

Step-by-step explanation:

this equation is in slope intercept form which is y= mx +b

Tabby is building two models of the Eiffel Tower. The scale factor of Model 2 to Model 1 is
is 1
Some of her measurements are shown in the table.
Enter numbers in the boxes to complete the table.
Eiffel Tower
Model 1
Model 2
(feet)
(inches)
(inches)
Height
984
11.808
Width of
328
Base

Answers

Complete question :

Tabby is building two models of the Eiffel Tower. The scale factor of Model 2 to Model 1 is 1/4

____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)

Height _______ 984 ______11.808 ____?

W of base ____ 328 _______? _______?

Answer:

Model 1 :

Width of Base = 328 * 0.012 = 3.936 inch

Model 2 :

Height = 11.808 * 4 = 47.232 inches

Width of base = 4 * 3.936 = 15.744 inches

Step-by-step explanation:

____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)

Height _______ 984 ______11.808 ____?

W of base ____ 328 _______? _______?

Scale factor of Model 2 to Model 1 is 1/4

Model 1 : Model 2

1 : 4

The scale factor of actual tower to model 1

984ft = 11.808 inches

Hence,

1 ft = 11.808 / 984

1 ft = 0.012 inch

Model 1 :

Width of Base = 328 * 0.012 = 3.936 inch

Since ;

Model 1 : Model 2 ; 1 / 4

1 : 4

Model 2 :

Height = 11.808 * 4 = 47.232 inches

Width of base = 4 * 3.936 = 15.744 inches

Need help with math hw please

Answers

Answer:

X = 34

Step-by-step explanation:

3x+44+x=180

4x+44=180

4x=136

x=34

hope this helps! :)

At Petey's Pizza, two large one-topping pizzas and three dozen wings cost $54. Four large one-topping pizzas and one dozen wings cost $48. Let (L) represent the number of large one-topping pizzas, and let (W) represent the number of dozens of wings. Write a system of equations you could use to find the cost of a single one-topping pizza and a dozen wings.

Answers

Answer:

2L + 3W =54

4L + W = 48.

Step-by-step explanation:

Given

L = Large one-topping Pizzas

W = Dozen Wings

From the first statement; we have that:

2L and 3W cost $54.

The expression for this is:

2L + 3W =54

From the second statement; we have that:

4L and 1W cost $48.

The expression for this is:

4L + W = 48.

Hence; The system of equations is

2L + 3W =54

4L + W = 48.

Solve x3 = 125 over 27
in a fraction please

Answers

Answer:

125 over 81

Step-by-step explanation:

x3= 125 over 27

Divide both sides by 3, you get:

x=125 over 81

Thats it lol

Answer:

Step-by-step explanation:

Write a compound inequality to represent all of the numbers between -4 and 6.

Answers

Answer:

-4 < N < 6

Step-by-step explanation:

Given problem:

      Compound inequality to represent all of the numbers between  -4 and 6

Solution:

Problems with inequality gives a range of values for the solution:

      let the numbers between these extremes  = N

The inequality is;

                -4 < N < 6

Where N is a real number

If you are given the length of the hypotenuse and one leg, does it matter whether you solve for a or b? Explain.​

Answers

Answer:

No because  [tex]a^2 + b^2 = b^2 + a^2[/tex]

Step-by-step explanation:

No it does not matter if you were given a or b because with the equation a²+b²=c² as long as you can substitute in two values you can solve for the unknown value. For example if you had triangle STU having hypotenuse as 41 and value a as 9 you would substitute in the values resulting in the equation 9²+b²=41² then you would solve the exponents 81+b²=1681 then you would subtract 81 having the equation now as b²=1600 then you would √b²=√1600 resulting in

b=40

you could solve that equation the same way if you had b=40 and c=42

8x+12-8x+15+15x-22-x

Answers

The answer would be 14x+5 I’m pretty sure

A school nurse can give 25 eyes test in a two-hour period. How long will it atke the nurse to give eye test to all 600 student sin her school?

Answers

Answer:

96 hours

Step-by-step explanation:

25 eyes - 2 hours

1200 eyes* - x hours

[tex]x = \frac{2 \times 1200}{25} [/tex]

[tex]x = 96[/tex]

*each student has 2 eyes. So 600 students have 600×2=1200 eyes.

It will take the nurse 48 hours to give eye tests to all 600 students in her school.

What is Expression?

An expression is combination of variables, numbers and operators.

If the nurse can give 25 eye tests in two hours, then she can give 12.5 tests in one hour (since 25 divided by 2 equals 12.5).

To give eye tests to all 600 students, the nurse will need to give 600 tests in total.

Using the rate of 12.5 tests per hour, we can set up a proportion:

12.5 tests / 1 hour = 600 tests / x hours

Apply Cross-multiplication

12.5 tests ×  x hours = 600 tests

Divide both sides by 12.5 tests

we get,  x hours = 600 tests / 12.5 tests per hour

x hours = 48 hours

Therefore, it will take the nurse 48 hours to give eye tests to all 600 students in her school.

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He preferred to make things of beauty.Leonardo made the decision that he could tolerate making weapons if the resources the duke could provide would also allow him to create things he loved. He sent a letter to the duke detailing his skills in designing and building weapons. I will assemble catapults, mangonels, trebuchets and other instruments of wonderful efficiencyI will make an infinite number of items for attack and defense, he wrote.Leonardos letter convinced the duke of his talents, and he got the job. He set about designing the weapons that the duke desired. But Leonardo was infinitely creative, always thinking of new things, new ideashe could not be limited to weapons alone. One idea that he had not mentioned in his application was the ornithopter. It was not a weapon of war, and it was not something that the duke had asked for, but Leonardo went ahead and designed it anyway.Leonardo was fascinated by the idea of flight. 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