Mathematics College

Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and Christopher uses 2,580 milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? One liter equals 1,000 millilters. Simplify your answer.

Answers

Answer 1

Answer:

[tex]Ratio = 0.74[/tex]

Step-by-step explanation:

Represent

- Andy with A

- Christopher with C

[tex]A = 3.5L[/tex]

[tex]C = 2580mL[/tex]

Required

Determine the ratio of C to A

Ratio is represented as thus:

[tex]Ratio = C:A[/tex]

Rewrite as fraction

[tex]Ratio = \frac{C}{A}[/tex]

This gives

[tex]Ratio = \frac{2580mL}{3.5L}[/tex]

Convert L to mL

[tex]Ratio = \frac{2580mL}{3.5*1000mL}[/tex]

[tex]Ratio = \frac{2580mL}{3500mL}[/tex]

[tex]Ratio = \frac{2580}{3500}[/tex]

[tex]Ratio = 0.73714285714[/tex]

[tex]Ratio = 0.74[/tex] --- Approximated

Related Questions

f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3

Find (f +g)(x).

Answers

Answer:

5x^3 - 4x^2 + 6x - 7

Step-by-step explanation:

Given

f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3

To find

(f +g)(x)

Solution

(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4  + 5x^3 - 6x^2 - 3  =5x^3 - 4x^2 + 6x - 7

Please Help!!!!!!!
Bert keeps honey bees on his farm. When he first started, he used a 6-frame beehive that held 40 pounds of honey. Now, he uses a 30-frame beehive. It has the same ratio of frames to honey as the smaller beehive. How much honey does Bert's new beehive hold?

Answers

Answer:

180?

Step-by-step explanation:

Answer: The new beehive will hold 200 pounds of honey

Explanation: 30 divided by 6 is five so 40*5 is 200

please help me with math​

Answers

First one is the 3rf

Suppose the y-intercept of a line is - 7 and the slope of the line is
-4/3
Which statement is true about the line?

A)The line falls from left to right.

B)The y-intercept is at (-7,0)

C)The equation of the line is y= 4/3x+7

D)The equation of the line is y= -4/3x+7

Answers

Answer:

A

Step-by-step explanation:

Since the slope is negative the line falls left to right.

The equation of the line falls from left to right.

What is a slope?

The slope of a line, commonly referred to as its gradient, in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given, the y-intercept of a line is - 7 and the slope of the line is -4/3.

And the standard form of the slope-intercept form:

y = mx + b,

where m is the slope and b is the y-intercept.

Here, m = -4/3 and b = -7.

Substituting the above values to the standard slope-intercept form,

y = (-4/3)x + (-7)

y = (-4/3)x -7

And the line falls from left to right.

Therefore, the line falls from left to right.

To learn more about the slope;

brainly.com/question/3605446

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hey. help pls and thank you​

Answers

I believe it is B. I did not look at the both the given points but one of the points that are unidentified and one of the given points:
(0, -8) and (2, -2)

To find slope use this equation:
(Y2 - Y1)/(X2 + X1)

Input the points into the equation:
(-2 - (-8))/(2 - 0) —> (-2 + 8)/(2 - 0)

You find that it becomes:
6/2

Then simplify it:
3/1

So the answer is A

what is the value of x if a² + ax - 10 is divided by a-2?

help with computation po​

Answers

Answer:

x = 3

Step-by-step explanation:

We need it in factorized form to get x.

If the quadratic equation can be divided by a-2 the first part is:

(a-2)

Now to get a², the a must be multpilied by itself. So

(a-2)(a)

To get -10, -2 must be multiplied by 5. So:

(a-2)(a+5)

we can expand to get x

a² + 5a - 2a -10

a² + 3a - 10

a² + ax - 10

x = 3

The diagram shows a triangle.
2x
60°
2x
What is the value of x?
Х=

Answers

2x+2x+60=180 because the angles have to add up to 180

So you have

4x+60=180

4x=120

x=30

Answer:

X=30

Step-by-step explanation:

It is a equilateral triangle so all side are the same

You would add the x's so it would be 4x + 60 = 180

Thats 4x = 120

Divide 120 by 4 and u get 30

please help!! this is due at 3 i don’t know how to do this one

Answers

Answer: y = 1/3x + 2

Step-by-step explanation:

You basically use the rise over run method and see the slope increases by 1/3 ( it comes up one and goes right 3 ) and it starts at 2

y = 1/3x + 2

Using Rise/Run — rise is the line rising, like going up, and run is the line running, like running to the side. It rises by 1, then runs by 3. That’s how you get 1/3x. Then, you find the Y variable, which is 2, and that it how you get the answer.

1.45
--
Decimal as fraction

Answers

Answer:

1.45 as a fraction is 29/20

Step-by-step explanation:

1.45 equivale a 29/20 en fracción

Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115

Answers

i THINK it’s D cuz the other side would also be 65 and it’s a 180 line in total

The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Let the interior alternate angle to 65° be y.

Now, y=65°  (Alternate interior angles are equal)

Here, y°+x°=180° (Adjacent angles)

65°+x°=180°

x°=115°

Therefore, option D is the correct answer.

To learn more about the alternate interior angles visit:

brainly.com/question/28380652.

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A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?

Answers

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

which of the following is a solution to the inequality 4x-5y<10

Answers

Answer:what is the following

Step-by-step explanation:

What is 0.0033 in scientific notation?

Answers

3.3 * 10^-3

Moving the decimal right gives a negative power

Answer:

[tex]=3.3*10^{-3}[/tex]

4x + 16y = -19
-2x - 8y = 10

Answers

Answer:

No solution.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x + 16y = -19

-2x - 8y = 10

Step 2: Rewrite systems

-2x - 8y = 10

Add 8y to both sides:                    -2x = 8y + 10Divide -2 on both sides:                x = -4y - 5

Step 3: Redefine systems

4x + 16y = -19

x = -4y - 5

Step 4: Solve for y

Substitution

Substitute in x:                         4(-4y - 5) + 16y = -19Distribute 4:                              -16y - 20 + 16y = -19Combine like terms:                -20 ≠ -19

Here we see that -20 does not equal -19.

∴ This systems of equations has no solution

Step 5: Graph

Check the systems.

Hard to see, but they are parallel lines.

HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°

Answers

the answers is c 78 degrees

D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F

Answers

Answer:

A) E, F, H, N

Step-by-step explanation:

I think so......

Helpppppp I don’t get it

Answers

Answer:

-3y + 2x - 4

Step-by-step explanation:

Answer:

-3y - 4 + 2x

Step-by-step explanation:

when it says combine like terms, it means combine the terms that have the same variable

-7y, -2y, and 6y all have the same variable: y

so when you combine them, you get -3y (notice that the variable doesn't change, only the number in front of it does)

-2 and -2 are like terms, they don't have a variable

when you combine them, you get -4

-4x and 6x are like terms, their common variable is x

when you combine these, you get 2x

now put your answers together to get -3y - 4 + 2x

Find the quotient: (27^x+3)/(9^x+2)

Answers

Answer:

Mutiply each bracket together and then separate the terms with x

Given that
5x:9=7:3
Calculate the value of
x

Answers

Answer:

x = 4.2

Step-by-step explanation:

Given  5x:9=7:3 To findThe value of  xSolution5x:9=7:3 5x = 7*9/35x = 7*35x = 21x = 21/5x = 4.2

Answer:

4.2

Step-by-step explanation:

5x:9=7:3

5x/9=7/3

5X×3=7×9

15x=63

X=63/15

X=4.2

So the value of the X is 4.2

An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?

Answers

Answer: 8

Step-by-step explanation:

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Calculation of the time taken:

Since An element with a mass of 650 grams decays by 13.2% per minute.  and there is 220 grams of the element remaining.

So, the mass decays be

= 650 - 220

= 430

Now the total percentage be like

[tex]= 430 \div 650[/tex]

= 66.15%

Now the time taken should be

= [tex]66.15\div 13.2[/tex]

= 5 minutes

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Learn more about time here: https://brainly.com/question/21207761

Can someone help please

Answers

Answer:

BCEDA

I hope this helps!

The scores on a standardized test are normally distributed. If a random sample of standardized test scores is taken and the confidence interval is (92.3,120.7), what is the sample mean x¯?

Answers

Answer: 106.5

Step-by-step explanation:

We know that, Confidence interval for population mean is given by :-

( Sample mean - Margin of error ,  Sample mean + Margin of error)

Given: confidence interval is (92.3, 120.7).

i.e.  Sample mean - Margin of error = 92.3   (i)

Sample mean + Margin of error = 120.7  (ii)

Adding (i) and (ii) , we get

2( Sample mean ) = 213

⇒ Sample mean = 106.5

Hence, the sample mean [tex](\overline{x})[/tex] = 106.5

3. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points
207 x 103
°
2.07 x 10-2
Option 1
O Option 2
207 x 10-3
2.07 x 10-3

Answers

2.07*10^-2

When using scientific notation you want to multiply it by ten with and exponent thy will move the decimal x many spaces. In this problem, the decimal was moved two spaces to the left of 2.07 so the exponent is 10^-2.

Hope that helps

Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan

Answers

Answer:

2415 Chinese yuan (rounded off to nearest yuan)

Step-by-step explanation:

£0.13 = 1 Chinese yuan

£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan

       = 2415 Chinese yuan (rounded off to nearest yuan)

Simplify: –3|–2| + 4|–5

Answers

Answer:

14

Step-by-step explanation:

–3|–2| + 4|–5|

-3 · 2 + 4 · 5

-6 + 20

14

Graph this compound inequality: x 9.8

Answers

Graph it
On the right side of the graph , go up 9 and go left 8

Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Answers

Answer:

2

Step-by-step explanation:

y=- 4
A slope: 0; y-intercept: -4
B slope: undefined; y-intercept: none
C slope: 1; y-intercept:-4
D slope: -4; y-intercept: -4

Answers

It would be A
Slope is 0, y = -4

Answer:

A

Step-by-step explanation:

The slope is 0 and the y-intercept is -4 because that is where the graph crosses the y-intercept :)

At the age of 28, you decide to invest into a 20-Year Endowment insurance policy. The face value for the policy that you are interested on is $91,500. Using the provided table, determine the annual premium for a 28-year-old healthy female seeking a 20-Year Endowment. Use the table provided below and round your answer to the nearest cent where necessary. A 7-column table with 4 rows title Permanent Insurance. Column 1 is labeled Age with entries 25, 26, 27, 28. Column 2 is labeled Whole life male (dollars) with entries 16.38, 16.91, 17.27, 17.76. Column 3 is labeled whole life female (dollars) with entries 14.38, 14.77, 15.23, 15.66. Column 4 is labeled 20-payment life male (dollars) with entries 28.40, 29.11, 29.97, 30.68. Column 5 is labeled 20-payment life female (dollars) with entries 25.04, 25.96, 26.83, 27.54. Column 6 is labeled 20-year endowment male (dollars) with entries 37.02, 37.67, 38.23, 38.96. Column 7 is labeled 20-year endowment female (dollars) with entries 34.87, 35.30, 35.96, 36.44. a. $3,334.26 c. $3,229.95 b. $3,290.34 d. $3,190.61



Answer is A edge

Answers

Answer:

A

Step-by-step explanation:

Answer:

the is a. $3,334.26

Step-by-step explanation:

How do you divide decimals 10.305 divided by2.5?

Answers

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[tex]10.305 \div 2.5 = [/tex]

[tex]10.305 \div \frac{10}{4} = \\ [/tex]

[tex]10.305 \times \frac{4}{10} = \\ [/tex]

[tex] \frac{10.305 \times 4}{10} = \\ [/tex]

[tex] \frac{41.220}{10} = \\ [/tex]

[tex]4.1220[/tex]

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