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

4 to the power of 2 multiplied by 2 to tthe power of 4 =

Answers

Answer:

256

Step-by-step explanation:

brainlist?

- 6/11 * 3/4 what the answer

Answers

Answer: -9/22

Step-by-step explanation:

Answer:

-0.40909090909........

Step-by-step explanation:

The first number in scientific notation must be...

Answers

Answer:

greater than or equal to 1 and less than 10.

Step-by-step explanation:

The first number in scientific notation must be ...

greater than or equal to 1 and less than 10.

rounded to the nearest tenths place : 2.03

Answers

Answer:

2....................

Answer:

rounded to the nearest tenths place : 2.03 is 2.0

Step-by-step explanation:

it is because 3 is lower than 5 so the number would decrease and it will be 2.0

Mr. Bohman is taking out a loan so that he can buy more bees. If he takes out a loan of $5,500 at 10% simple interest for 7 years, how much interest will he have to pay

Answers

Answer:$3850

Step-by-step explanation:fist do 5,500 X 1 =500

Then do 500 X 7 = 3850

it takes a biker 1/2 hours to ride 8/3 miles. What is the biker's rate,in miles per hour?

Answers

Answer:

The biker is traveling at [tex]5\frac{1}{3}[/tex] miles per hour.

Step-by-step explanation:

To find the rate, in miles per hour, you must use the formula r = d/t.

(r = rate)

(d = distance)

(t = time)

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]5\frac{1}{3}[/tex]

Please help? It’s a basic time question and I don’t get it. Either I’m really dumb or it’s to complicated

Answers

Answer: D 1 hour 56 minutes

Answer:

D. 1 hour 56 minutes

Step-by-step explanation:

Well, if you add 2 hours to 12:14, it would be 2:14, so you know it's less than 2 hours. B and D are the only choices that have 1 hour. So, if Aaron left at 2:10, you have to subtract 4 minutes from 2 hours. That would be 1 hour and 56 minutes Aaron spent at the mall.

I hope you understood!! (It's ok if you didn't get it...some things can seem complicated at first!) Have an amazing day C:

In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.) PLZ HELP! Will mark brainliest

Answers

Answer:

There are 15 cows and 35 chickens

Step-by-step explanation:

So first you take 20 and multiply it by two since there are two legs on each chicken. You get 40.

Then you subtract 40 from 130. You get 90.

Since the cow has double the legs of the chicken, you can count the cow as two chicken.

You divide 90 by 3. You get 30.

To get the number of chicken you divide 30 by 2 and you get 15.

You add 15 and 20 together and you get 35 chickens.

To get the number of cows you divide 30 by 2 and you get 15.

So you have your answer. 35 chicken and 15 cows.

Match each complex numbers with its corresponding distance to the origin

Answers

Answer:

2. z = 1 - 2·i    →    √5

3. z = 4 + 3·i   →      54

4. z = 6 - 8·i    →     10

1. z = √5 - i      →    √6

Step-by-step explanation:

1. z = √5 - i

The distance from the origin = √((√5)² +1²) = √(5 + (-1)²) = √6

Therefore, z = √5 - i → √6

2) z = 1 - 2·i

The distance from the origin = √(1² + (-2)²) = √5

Therefore, z = 1 - 2·i → √5

3) z = 4 + 3·i

The distance from the origin = √(4²+3²)) = √(16 + 9) = √25 = 5

Therefore, z = 4 + 3·i → 5

4) z = 6 - 8·i

The distance from the origin = √(6²+8²)) = √(36 + 64) = √100= 10

Therefore,  z = 6 - 8·i →  10

Cooper, Sha'Niya
A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches
Which equation models this?

Answers

Answer:

8X = 96 inch

Step-by-step explanation:

How its in the draw you have this situation then the equation that model is the next one:

2*(3X) + 2*X = 96 inch

6X + 2X = 96 inch

8X = 96 inch

We must multiply due that there is two sides that measure the same.

Answer:

8X = 96 inch

Step-by-step explanation:

PLEASE EXPLAIN HOW TO DO THIS PROBLEM

Answers

Answer:

y=1/3x + 2

Step-by-step explanation:

the y intercept is 2, and the second point goes up 1 over 3

rise over run

slope intercept form formula: y=mx+b
the m is your slope
the b is your y intercept (where your line passes through the y axis)
so you’re gonna use rise over run. you are gonna count from (0,2) to (3,3)
following the grid you’ll go up one from (0,2) and go over two to get to (3,3)
so that number would be 1 over 2 because u went up one and over two.
so your slope is 1 over 2
next you’ll find your y intercept
so you’ll find where the line passes through in the y axis and your done!
so your final equation is y=1/2x+2

triangle D E F with what scale factor?

Answers

to find the scale factor you divide the image by the pre image

example- a rectangle that is 3 by 7 inches is enlarged to 42 inches what is the scale factor

3•7=21 (pre image)
42 (image)

42/21= 2

k=2

The straight line depreciation equation for


a motorcycle is y = -2.150x + 17,200.


(Express your answers as whole


numbers.)


a. What is the original price of the


motorcycle? $17,200.00


b. How much value does the motorcycle


lose per year?


c. How many years will it take for the


motorcycle to totally depreciate?

Answers

Given :

The straight line depreciation equation for  a motorcycle is y = -2,150x + 17,200.

To Find :

a. What is the original price of the  motorcycle? $17,200.00  ?

b. How much value does the motorcycle  lose per year?

c. How many years will it take for the  motorcycle to totally depreciate?

Solution :

y = -2,150x + 17,200.

Here, y is price and x is unit of time in years.

a)

We know, original price is given when x =0.

So, y = 0 + 17,200

y = $17,200.00

b)

Value motorcycle lose per year is coefficient of x i.e $-2,150.00

c)

Form total depreciate :

y = 0

0 = -2,150x + 17,200

x = 17,200÷2,150

x = 8 years.

Hence, this is the required solution.

g(x)=-7x+4 solve for (-5)

Answers

Answer:

39

Step-by-step explanation:

g(-5)=-7×(-5)+4=35+4=39

Answer:

g(-5) = 39

Step-by-step explanation:

g(x) = -7x + 4

g(-5) = - 7* (-5) + 4

        = 35 + 4

       = 39

In what place is the digit 6 in the number 903.62?
А
hundreds
B
hundredths
с
tens
D
tenths

Answers

Answer:

I think its d if I remember correctly

Answer: D tenths

Step-by-step explanation:

when you go past the decimal you start by counting tenths, hundredths, thousands and so on

Three changes that have happened to the environment

Answers

Answer:glaciers melting, ozone layer getting thinner, 2.5 million trees being burned to the ground.

Step-by-step explanation:

Stresses on food producing systems urbanization and loss of biodiversity


7. Tristan has $400 in his checking account at the
beginning of August. He wants to have at least $150 in
account by the end of the year. He withdraws $15 each
week for his own use. Write an inequality representing
the scenario. BONUS: How many weeks can Tristan
withdraw money from his account?
6
A. 400 - 15x 2150
C. 400 - 15x > 150
B. 400 - 152 s 150
D. 400 - 15x< 150

Answers

Answer:

C

Step-by-step explanation:

Which list orders the numbers from least to greatest?

–5, 1, 3, –2

A number line going from negative 5 to positive 5.
1, –2, 3, –5
–2, –5, 1, 3
–5, –2, 1, 3
3, 1, –2, –5

Answers

Answer:

C (3rd one) is the answer since -5 is the smallest and 3 being the biggest.

Step-by-step explanation:

-5 -2 1 3

Answer:

The answer is the 3rd choice!! In letter options, Option "C"!!!

Step-by-step explanation:

Hope I helped!!! Have great day ahead!!

#StayKind #BeBlessed #ThisGirlBlessed

The greater of two consecutive even integers is at most fifty less than five times the smaller. Which of these represents the inequality needed to solve for the smaller integer, x, as well as its solution?

Answers

Answer:

            Inequality:  2x + 2 ≤ 5•2x - 50

           Solution:    x ∈ <6.5, ∞)

Step-by-step explanation:

2x     - the smaller of consecutive even integers

2x+2    - the greater of consecutive even integers

5•2x     - five times the smaller number

5•2x-50   - fifty less than five times the smaller number

"is at most" means is less or equal

2x + 2 ≤ 5•2x - 50

2x + 2 ≤ 10x - 50

     -2          -2

    2x  ≤ 10x - 52

  -10x       -10x

  -8x  ≤  -52

 ÷(-8)     ÷(-8)

     x  ≥  6.5    

x ∈ <6.5, ∞)

PLEASE HELP! I WILL MAKE YOU BRAINSTER.
my questions are in the photo i need numbers 1-4.

Answers

Answer:

1.) Addition property

2.) reflective property

3.) Symmetric property

4.) Division property

Step-by-step explanation:

What is the answer to this question? If x=y, then 6x=6y

Answers

Answer:

This is a true statement. I think that's what you're asking.

Step-by-step explanation:

It is true because if x=y, than 6x=6y because both sides have a 6 and x=y

select 3 ratios that are equivalent to 8:20​

Answers

Answer:

4:10, 2:5 16:40

Step-by-step explanation:

just multiply or divide

2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School.
How many students at Hamilton Middle School have red hair?

Answers

Answer:

An estimated 3 out of every 25 men are left handed. Hence, 12 percent(%) of the men are left handed.

Step-by-step explanation:

Please answer asap failure notices come out today

Answers

Answer:

It would be A.

Step-by-step explanation:

You can simply add the numbers to coordinates to see if matches.

For example, if you add the x + 2 to -3 and 2, its -1 and 4. Then if you add y+3 to -1 and 1, it's 2 and 4. I hope that makes sense :)

Solve showing steps. Use Insert equation to get the symbol and Ctrl with . For exponents x2 + 3x - 4 = 0 9x2 + 12x + 4 =0 (leave answer as a fraction) x2 - 2x - 3 = 0 x2 - 6x + 9 = 0 2x2 - 4x - 3 = 0 (round to two decimal places)*

Answers

Here all the given equations are in the form of

[tex]ax^2+bx+c=0[/tex]

The value of [tex]x[/tex] can be determined by the perfect square method as follows:

[tex]ax^2+bx+c=0[/tex]

[tex]\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0[/tex]

[tex]\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0[/tex]

[tex]\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}[/tex]

[tex]\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)[/tex]

Now, for [tex]x^2+3x-4=0[/tex]

[tex]a=1, b=3, c=-4[/tex]

So, from equation (i)

[tex]x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}[/tex]

[tex]\Rightarrow x=\frac{3\pm5}{2}[/tex]

[tex]\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}[/tex]

[tex]\Rightarrow x= 4, -1[/tex]

Similarly, for [tex]9x^2+12x+4=0[/tex]

[tex]a=9, b=12, c=4[/tex]

So, from equation (i)

[tex]x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}[/tex]

[tex]\Rightarrow x=\frac{-12\pm0}{18}[/tex]

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

For [tex]x^2-2x-3=0[/tex]

[tex]a=1, b=-2, c=-3[/tex]

[tex]x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{2\pm\sqrt{16}}{2}[/tex]

[tex]\Rightarrow x=\frac{2\pm4}{2}[/tex]

[tex]\Rightarrow x=\frac{6}{2},\frac{-2}{2}[/tex]

[tex]\Rightarrow x=3.00, -1.00[/tex]

For [tex]x^2-6x+9=0[/tex]

[tex]a=1, b=-6, c=9[/tex]

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{6\pm0}{2}[/tex]

[tex]\Rightarrow x=3.00[/tex]

For [tex]2x^2-4x-3=0[/tex]

[tex]a=2, b=-4, c=-3[/tex]

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}[/tex]

[tex]\Rightarrow x=\frac{4\pm\sqrt{40}}{4}[/tex]

[tex]\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}[/tex]

[tex]\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}[/tex]

[tex]\Rightarrow x=2.58, -0.58[/tex]

What is the slope of this line

Answers

The slope is zero because the line is not moving

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
1. Is Rectangle A a scaled copy of Rectangle B? If so, what is the scale factor?
2. Is Rectangle B a scaled copy of Rectangle A? If so, what is the scale factor?
3. Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
4. Is Rectangle A a scaled copy of Rectangle C? If so, what is the scale factor?

Answers

Answer:

1. yes , 1:1.25

2. no

3. Because the ratio between the width of rectangle a along rectangle a is 3: 2 and also in rectangle b the ratio between the width of rectangle along rectangle is 3: 2 but the ratio between width of rectangle c along rectangle c is 2: 1

can somebody please help!!! asap!! thank you, anything is appreciated!!

Answers

Answer:

I believe its true, Im reallly sorry if its wrong

Step-by-step explanation:

True it is a factor

Yo welcome

i need help with my math

Answers

Answer:

a - 8^2

b-2^8

c-4^2

d-2^4

Answer:

The first on the left is the last one on the right, the second on the left is the second on the right, the third on the left is the third on the right, and the fourth on the left is the first on the right. Hope this helps.

Step-by-step explanation:

URGENT AND EASY 8TH GRADE MATH

Answers

Answer:

x < -8

Step-by-step explanation:

I used a calculator

Answer:

x<-8

Step-by-step explanation:

Let's solve your inequality step-by-step.

122<−2(8x+3)

Step 1: Simplify both sides of the inequality.

122<−16x−6

Step 2: Flip the equation.

−16x−6>122

Step 3: Add 6 to both sides.

−16x−6+6>122+6

−16x>128

Step 4: Divide both sides by -16.

−16x /−16 > 128 /−16

x<−8

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