A scientist had 3/4 of a botttle of solution. She used 1/6 of the solution in experiment. How much of the bottle did she use?

Answers

Answer 1

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Given : A scientist had [tex]\frac{3}{4}[/tex] of a bottle of a solution.

The part of the solution she used in the experiment :  [tex]\frac{1}{6}[/tex]

The part of bottle she used is given by :

[tex]\frac{1}{6} *\frac{3}{4}[/tex]

= [tex]\frac{1*3}{4*6}[/tex]

= [tex]\frac{3}{24}[/tex]

Simplify = [tex]\frac{1}{8}[/tex]

Hence, she used [tex]\frac{1}{8}[/tex] of the bottle .


Related Questions


simplified fraction 8b+3b-2=6+8b+4

Answers

Answer:

b=4

Step-by-step explanation:

it works

11b-2 = 10 + 8b
11b-8b = 10 + 2
3b = 12
b = 12/3 = 4

Hope this helps:)

A binomial experiment has the given number of trials and the given success probability n=2 p=0.2

Answers

The mean of binomial experiment has the given number of trials and the given success probability n=2 p=0.2 is 0.2

Bernoulli distribution may be a distinct likelihood distribution wherever the Bernoulli variate will have solely zero or one because the outcome.p is that the likelihood of success and one - p is that the likelihood of failure.The mean of a distribution is E[X] = p and also the variance, Var[X] = p(1-p).Bernoulli distribution may be a special case of statistical distribution once just one trial is conducted.

It is given that probability of success is 0.2.

According to Bernoulli distribution

Mean = probability of success

         = 0.2

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The complete question is given below :

A binomial experiment has the given number of trials and the given success probability n=2 p=0.2 then find mean

Pablo received a gift card of $100 for a pizza restaurant .The restaurant charges $15 per pizza. Teresa received a gift card of $70 for a different pizza restaurant .the restaurant charges $10 per pizza .let X be the number of pizzas purchase. for each card write an expression for the amount of money left on the card after purchasing X pizzas.

Answers

a)Amount of money left on Pablo's card in dollars = $100 - $15x

= $(90 - 15x)

b) Amount of money left on Teresa's card in dollars= $70 - $10x

= $(70 - 10x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$100 - 15x = $70 - 10x

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Pablo

Keith received a gift card of $100 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Pablo's card after purchasing x pizzas = $100 - $15x

For Teresa,

Mary received a gift card of $70 for a different pizza restaurant. The restaurant charges $10 per pizza.

Hence, x number of pizzas cost =$10 × x

= $10x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$70 - $10x

Amount of money left on Pablo's card in dollars = __________

Amount of money left on Teresa's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$100 - 15x = $70 - 10x

Collect like terms

-15x + 10x = $70 - $100

-5x = -30

x = 30/5

x = 6

Hence, anytime Pablo and Teresa buys ,6 pizzas their gift card will have the same amount of money left on them.

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11. -7.5 -2.75 help me and make sure you simpfily​

Answers

Answer:

-10.25

Step-by-step explanation:

I'm not sure if this is what you want, but -7.5-2.75= -10.25

Use the fact that 1 kilometer = 0.62 miles to convert 3,070 meters to miles.

Round to the nearest hundredth

Answers

Answer: 1.90 miles

Step-by-step explanation:

The conversion rate for meters to kilometers is 1 meter for 0.001 kilometers. Using this rate you can do, [tex]3070m*\frac{0.001km}{1m}[/tex]. The m units cancel and you're left with 3.07km. Since we are given the conversion rate of 1 kilometer = 0.62 miles, we can do, [tex]3.07km*\frac{0.62mi}{1km}[/tex]. again the km units cancel and you're left with 1.9034 mi. Rounded to the nearest hundredth to get 1.90.

What fractions is in simplest form? 4/10, 15/18, 17/51, 9/21

Answers

Step-by-step explanation:

2/5

5/6

1/3

3/7

...........

How many degrees must figure A be rotated counterclockwise around the origin in order to line up with Figure B?

Answers

Answer:

270

Step-by-step explanation:

One turn would put you in quadrant 2 and would be 90.  A second turn would put you in quadrant 3 and that would be 180.  A third turn would put you in quadrant 4 and that would be 270.  I know that it is hard to see what I mean by a turn.  It would be if you had a piece of tracing paper with the figure drawn on it and you turn the paper at the origin so that the lines at the corners would like up, each turn would be 90 more degrees.

Wharton, Inc., pays income taxes on capital gains (including gains on marketable securities) at a rate of 30 percent. At December 31, year 1, the company owns marketable securities that cost $180,000 but have a current market value of $220,000. b. As of December 31, year 1, what income taxes has Wharton paid on the increase in value of these investments? c. Prepare a journal entry at January 4, year 2, to record the cash sale of these investments at $220,000. d. What effect will the sale recorded in part c have on Wharton’s tax obligation for year 2?

Answers

The sale of investments at a price above cost is 102,000 units.

What are Marketable Securities?Any unrestricted financial instrument that can be bought or sold on a public stock exchange or a public bond exchange is defined as marketable security. As a result, marketable securities are either marketable equity securities or marketable debt securities. Marketable securities include stocks, bonds, preferred shares, and exchange-traded funds (ETFs). Marketable securities can also include money market instruments, futures, options, and hedge fund investments. The most important feature of marketable securities is their liquidity.

To record the sale:
(Refer to the table shown below)

To document the sale of the security:

850k market price - 180k cost = 340k profit on the sale

(Refer to the table shown below)

Record the income tax payable for the security gain:

Gain of 340,000 × 30% tax rate = 102,000

Therefore, the sale of investments at a price above cost is 102,000 units.

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The correct question is given below:
Wharton, Inc. pays income taxes on capital gains at a rate of 30 percent. On December 31, 2015, the company owns marketable securities that cost $180,000 but have a current market value of $520,000. Record the sale of investments at a price above cost.

Which of the following must be a factor of the function

Answers

Answer:

  (A)  (x -2)

Step-by-step explanation:

You want to know a factor of the function whose values given in the table include (x, y) = (2, 0).

Polynomial zeros

A polynomial function y = p(x) will have a factor of (x-a) if and only if p(a) = 0.

The table shows y=0 for x=2, so this polynomial function will have a factor of (x -2).

__

Additional comment

The function shown in the table is ...

  y = (x -2)²

so it actually has two factors that are (x -2).

You can tell this is a polynomial function of degree 2 because the 2nd differences are constant.

First differences between successive y-values: -7, -5, -3, -1, 1, 3

Second differences between successive first differences: 2, 2, 2, 2, 2.

Simplify the complex fraction below.

Answers

Answer: 6

:)

___________________________________

Answer:

[tex] \sf \large \: \frac{2}{27} [/tex]

Step-by-step explanation:

Let's solve this equation step by step

2/3/1/9

= 2/3/9/1

= 2/27

what does a sqiggley equal sign mean.

Answers

Answer:

Approximately ≈

Step-by-step explanation:

Answer:

approximately equal to
or
Approximate equality

A ball was thrown off a bridge. The table relates to the height of the ball above the ground in feet to the time in seconds after it was thrown. Use the data to enter a quadratic model in vertex form and convert it to standard form. Use the model to find the height of the ball at 1.5 seconds.​

Answers

The peak height reached at 144 feet, and the graph passing through points (0, 120), (1, 144), (2, 120), gives;

1. The vertex form of a quadratic equation is f(x) = a•(x - h)² + k

Where;

a = The leading coefficient

(h, k) = The coordinates of the vertex.

Let t represent the time of travel of the ball and let h represent the height.

From the given table, we have;

f(t) = a•(t - h)² + k

f(0) = 120 = a•(0 - h)² + k = a•h² + k

120 = a•h² + k

f(1) = 144 = a•(1 - h)² + k = a•(h² - 2•h + 1) + k

f(1) = a•(h² - 2•h + 1) + k

f(1) - f(0) = 144 - 120 = 24 = -((2•h - 1)•a

24 = -((2•h - 1)•a

f(2) = 120 = a•(2 - h)² + k

f(2) - f(1) = -24 = -((2•h - 3)•a

(f(1) - f(0)) - (f(2) - f(1)) = 48 = -2•a

Therefore;

a = -24

24 = -((2•h - 1)•a

24 = -((2•h - 1)×(-24)

-1 = -((2•h - 1)

2•h - 1 = 1

h = 2/2 = 1

h = 1

120 = a•(2 - h)² + k

120 = (-24)•(2 - 1)² + k

k = 120 + 24 = 144

k = 144

Which gives;

The vertex form is y = -24•(x-1)² + 144

From the vertex form, we have;

y = -24•(x-1)² + 144 = -24•(x²-2•t+1) + 144

y = -24•(x²-2•tlx+1)+ 144 = -24•x²+48•x - 24 + 144

y = -24•x²+48•x + 120

y = -24•x² + 48•x - 24 + 144 = -24•x²+ 48•x + 120

y = -24•x² + 48•x + 120

The height of the ball after 1.5 seconds is

y = -24×1.5² + 48×1.5 + 120 = 138

The height of the ball at t = 1.5 seconds is 138 feet

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a bouquet has 10 flowers.among them,3 are red. at the same ratio, how many red flowers are needed to prepare two bouquets

Answers

Answer:

in one bouquet there are 3 red so in two bouquets there must be 6

whats the simplest form of b⁴ b²?​

Answers


Answer: b^6

Hope this helps

Answer:

Step-by-step explanation:

Simplify ((b^4)^4) / ((b^2)^3).First lets simplify the numerator. ((b^4)^4). The notation is b to the fourth power, to the fourth power, which is multiplying sixteen b’s. That explains why we multiple the exponents, to get b^(16) for the numerator.Similarly we simplify the denominator by multiplying the exponents for ((b^2)^3) = b^6.Putting the simplified numerator and denominator together is (b^(16))/(b^6).The six b’s in the denominator cancel six b’s in the numerator for (b^(16))/(b^6) = b^(10). Final answer b^(10).Note, another way to view (b^(16))/(b^6) = (b^(16)) * (b^(-6)) then add the exponents to have the same answer (b^(10))

Find a solution to the linear equation 13x +y =26 by filling in the bows with a valid value of x and y.

Answers

The solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.

It is required to find the solution to the linear equation.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The equation is

13x + y = 26

We have to find the value of x and y .

According to given question we have

13x + y = 26

Subtract 13x from both sides we get,

y = 26 - 13x

Subtract y from both sides

13x = 26 - y

Divide through by 13

x = 2 - y/13

Therefore, the solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.

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Is this true
4. When you subtract two numbers, if you reduce the first number in the subtraction by one, the result is one less. For example, 12 – 4 is 8 and 11 – 4 is 7

Answers

Answer:

The answer is True

Step-by-step explanation:

In the substraction, if you reduce or increase the substrahend by a number, the result is the same number less or more

Can you explain this to me?

Answers

1. Rewrite Divide

2. Rewrite Simplify

3. Rewrite Simplify Expressions

4. Simplify Fractions

5. and Solve

2,720 divided by 20 what’s the answer

Answers

Answer:

136

Step-by-step explanation:

2720 / 20 = 136

XZ is the perpendicular bisector of segment WY. Solve for m. Enter a NUMBER only.

Answers

2(6m+12)=180

12m+24=180

12m=156

m=13

Nigel is going from London, UK, to Moscow, Russia, by train. He goes 296 miles on a train from London to Paris, France. He takes another train 500 miles to Munich, Germany, and switches trains in Munich to ride 256 miles on a train to Vienna, Austria. His last train ride carries him 1,298 miles from Vienna to Moscow. Find his total distance by first rounding each distance to the nearest hundred miles before adding.

Answers

Answer: 2400 miles

Step-by-step explanation:

Round;

256 to 300

500 to 500

296 to 300

1,298 to 1,300

Add; 300 + 300 + 500 + 1,300 to get your 2,400 miles.

What the person said above meee

can someone help me with this domain and function question :)

Answers

Answer: (-∞, ∞)

Step-by-step explanation:

|2x+5|+3 can't equal 0. The denominator can't equal 0.

|2x+5|+3[tex]\neq[/tex]0

|2x+5|[tex]\neq[/tex]-3 ==> Absolute value functions can't be negative, so the denominator will never equal 0.

Hence, domain is x equals all real numbers: (-∞, ∞)

what integer would be added to 4 to result in a sum of zero​

Answers

Answer:

-4

Step-by-step explanation:

4+(-4) =

4-4 =

0

what is the direction of vector v if it ends at (-3,-10)

Answers

The direction of the vector v in standard position is approximately 253.301°.

What is the direction of a given vector?

Vectors in rectangular form present the change of each of the two variables parallel to orthogonal axes. Each point is described by the following definition:

v = (Δx, Δy)                         (1)

And the direction of a vector is equal to this inverse trigonometric function:

θ = tan⁻¹ (Δy / Δx)              (2)

If we know that Δx = - 3 and Δy = - 10, then the direction of the vector is:

θ = tan⁻¹ (- 10 / - 3)

θ = tan⁻¹ (10 / 3)

θ ≈ 253.301°

The direction of the vector v in standard position is approximately 253.301°.

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Carlos find the absolute value of -5.3 and then if I the opposite of an answer. Jason find the opposite of -5.3 and then find the absolute value of his answer. Who’s final value is greater? Explain.

Answers

The person who has a greater number will be Carlos since 5.3 is more than -5.3.

How to illustrate the information?

It should be noted that Carlos find the absolute value of -5.3. This will be - (-5.3) = 5.3.

On the other hand, Jason find the opposite of -5.3 and then find the absolute value of his answer. This will still be -5.4

Therefore, the person who has a greater number will be Carlos.

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the equation sin(40)=b/20can be used to determine the length of segment ac . what is the length of ac? round to the nearest tenth

Answers

If the equation [tex]sin(40)=\frac{b}{20}[/tex] can be used to determine the length of segment AC, then the length of AC is 12.85 units

Given,

The equation,

sin 40 = [tex]\frac{b}{20}[/tex]

We know,

According to trigonometric equation

sin θ= Opposite side / Hypotenuse.

Length of the segment AC = b

Then,

sin 40 = [tex]\frac{b}{20}[/tex]

b= sin 40 × 20

b= 12.85 units

Hence, if the equation [tex]sin(40)=\frac{b}{20}[/tex] can be used to determine the length of segment AC, then the length of AC is 12.85 units

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A rectangular room is 15 ft long and 10 ft wide. A scale drawing of the room had a width of 5 inches.What is the length of the room in the drawing?​

Answers

Answer:

7.5 inches

Step-by-step explanation:

15 ft long and 10 ft wide becomes 3/2 when converted into a ratio

we now have 3/2 and five inches

3 is 1.5*2

5*1.5 is 7.5

Answer:

7.5in

Step-by-step explanation:

If the original room's dimensions are (15ft x 10ft). Then the new scaled-down version is (?ft x 5in) we can set up a ratio of 10/5 = 2 to find that the scale from the room to the drawing is being shrunk by a factor of 2. So if you take 15/2 you will get your final answer of the new length of 7.5in!

Between what two integers does square root of -19 lies

Answers

Answer:

4 and 5

Step-by-step explanation:

4^2=4xx4=16,

5^2=5xx5=25, and 19 is between those two squares

What is the smallest prime number that divides evenly into 45?

Answers

Answer: It's 3, because 3 is a prime number and divides evenly into 45.

Step-by-step explanation:

45 / 3 = 15

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

ASAP, yk the pain too, help me out!!! begging
2x+p/q=2x+q/p, p DOESNt equal to 0, q doesn’t equal to 0

Answer: If p=q, ______. If p doesn’t equal q, _______.

Answers

The equation, [tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex], gives;

When p = q, the number of solutions is infinite.

When p ≠ q, the equation has no solution

How can the given equation be evaluated?

The given equation is presented as follows;

[tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex]

If p = q, we have;

[tex] \frac{2 \cdot x + q}{q} = \frac{2 \cdot x + q}{q} [/tex]

[tex] \frac{2 \cdot x + p}{p} = \frac{2 \cdot x + p}{p} [/tex]

Therefore, the equation has an infinite number of solutions when p = Q

If p ≠ q, and x = 3, we have;

[tex] \frac{2 \cdot x + p}{q} = \frac{2 \times 3 + p}{q} = \frac{6 + p}{q} [/tex]

[tex] \frac{2 \cdot x + q}{p} = \frac{6 + q}{p} [/tex]

[tex] \frac{6 + p}{q} [/tex] = \frac{6 + q}{p} [/tex]

6•p + p² = 6•q + q²

However;

p ≠ q

Therefore;

6•p ≠ 6•q

p² ≠ q²

6•p + p² ≠ 6•q + q²

Which gives;

[tex] \frac{6 + p}{q} \neq \frac{6 + q}{p} [/tex]

The equation is not defined when p ≠ q

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Eighty meters of fencing is available to enclose the rectangular garden of Mang
Gustin. Give a function A that can represent the area that can be enclosed in
terms of x.

Answers

A function that can represent the area that can be enclosed in terms of x is 40x-x².

Given that Eighty meters of fencing is available to enclose the rectangular garden of Mang Gustin.

Area is defined as the amount of space that can be used within a flat surface or the surface of a solid. Perimeter is defined as a continuous line that forms a boundary to define a two-dimensional shape.

Let the length of garden, l=x

and the given perimeter, p=80

As we know, perimeter of rectangle is P=2(l+b).

Now, we will substitute the values and find the value of b, we get

80=2(x+b)

Now, we will divide both sides by 2, we get

80/2=2(x+b)/2

40=x+b

Further, subtract x from both sides, we get

40-x=x+b-x

40-x=b

Now, we will find the area of rectangle by using the formula A=lb.

Substitute the values in above formula, we get

A=x(40-x)

A=40x-x²

Hence, the area that can be enclosed in terms of x is 40x-x².

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