One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster?

Answer:

B. 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

1+0.6

6/10 simplifed into 3/5

+1(which can be written anso as 5/5)

so 3/5 + 5/5 is 8/5 or         1 and 3/5

A. 1 pair of corresponding points are N and L or you could use S and H.

but i do not know the question B sorry.

Step-by-step explanation:

By Descrates' Rule of Signs,

x² + 99x + 127 changes sign 0 times.

Hence it has 0 positive roots.

Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.

Hence both the roots are negative. (B)

Answer:

Hi Aarav

Your answer in attached below

LoL

Answer:

It is A

Step-by-step explanation:

Answer:

[tex] {3}^{x} = {9}^{y} - - - eqn(i) \\ 4 ^{xy} = {2}^{x - 2} - - - eqn(ii) \\ from \: (i) \: introduce \: log_{10}\: \: \\ log( {3}^{x} ) = log( {9}^{y} ) \\ x log(3) = y log(9) \\ x log(3) = 2y log(3) \\ x = 2y - - - eqn(iii) \\ substitute \: for \: x \: in \: eqn(ii) \\ {4}^{ {2y}^{2} } = {2}^{2(y - 1)} \\ {4}^{ {2y}^{2} } = {4}^{(y - 1)} \\ from \: indice \: laws \\ {2}^{ {y}^{2} } = y - 1 \\ introduce \: log_{10} \\ {y}^{2} log(2) = log(y) - log(1) \\ log(2) = {y}^{ - 2} log (y \: - \: 1) \\ {y}^{ - 2} (2 - y - 1) = 10 \\ \frac{2}{ {y}^{2} } - \frac{1}{y} - \frac{1}{ {y}^{2} } = 10 \\ 1 - y = 10 {y}^{2} \\ 10 {y}^{2} + y - 1 = 0 \\ [/tex]

hope that step is enough to give you the two values of y, coz I gat no calc here with me.

hint: use the quadratic equation

Answer:

D. 28

Step-by-step explanation:

This answer is it because 28 is greater than 25.

Answer:

x ≤ 5

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define Inequality

4x - 2 ≤ 18

Step 2: Solve for x

Here we see that any value x smaller than or equal to 5 would work as a solution to the inequality.

Answer:

Step-by-step explanation:

A bar chart is a graphical representation of data, showing the relationship between two variables in the form of bars. the height of each bar expresses the connection between the variables.

In the given question, plot the number of weeks given against the cost of living index so as to have a clear picture of the relationship between the variables.

The attachment to this answer shows the bar chart for the given data.

Answer:

x < [tex]\frac{33}{4}[/tex]

Step-by-step explanation:

Given

- 4x + 35 > 2 ( subtract 35 from both sides )

- 4x > - 33

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x < [tex]\frac{33}{4}[/tex]

Answer:

9 days

Step-by-step explanation:

First, write the equation for Daniel's situation:

D = 17t + 49

Then, write the equation for Audrey's situation:

A = 20t + 22

Then, set these equations equal to each other and solve for t to find when they will be on the same page:

17t + 49 = 20t + 22

Solve for t:

17t + 49 = 20t + 22

49 = 3t + 22

27 = 3t

9 = t

So, they will be on the same page 9 days into the month.

Answer:

y = -3x - 3

Step-by-step explanation:

the y-intercept is -3 as shown in the graph, so, b = -3

if you count, the rise is 3 and the run is -1, so the slope will be -3/1

-3/1 equals to -3

y = -3x - 3

Answer:

y = –3x – 3

Step-by-step explanation:

m = the slope which is 3/1, or 3. Since the line is going from the bottom right corner to the top left, it is a negative slope so –3.

b = the y-intercept which is –3.

So,

y = –3x – 3

Answer:

Question 4

Simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2

Option D is correct option.

Question 5

Simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]

Option C is correct.

Step-by-step explanation:

Question 4

Simplify completely [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex]

For simplifying the above expression we have to find find factors of numerators and denominators

First finding factors of numerator [tex]x^2-10x-24[/tex]

[tex]x^2-10x-24\\ = x^2-12x+2x-24 \\= x(x-12)+2(x-12) \\=(x-12)(x-2)[/tex]

So, the factors of [tex]x^2-10x-24[/tex] are [tex](x-12)(x-2)[/tex]

Now finding factors of denominator [tex]x^2-3x-108[/tex]

[tex]x^2-3x-108\\=x^2-12x+9x-108\\=x(x-12)+9(x-12)\\=(x+9)(x-12)[/tex]

So, factors of [tex]x^2-3x-108 are (x-12)(x+9)[/tex]

Now, replacing numerators and denominators with their factors

[tex]\frac{x^2-10x-24}{x^2-3x-108}\\=\frac{(x-12)(x-2)}{(x+9)(x-12)}\\Cancelling\:(x-12) \: from\:numerator\:and\:denominator\\=\frac{x-2}{x-9}[/tex]

so, simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2

Option D is correct option.

Question No 5

Simplify the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex]

For simplifying the above expression we have to find find factors of numerators and denominators

First finding factors of numerator [tex]8x-16[/tex]

Taking 8 common:

[tex]8x-16\\=8(x-2)[/tex]

So, factors of [tex]8x-16[/tex] are [tex]8(x-2)[/tex]

Now finding factors of denominator : [tex]x^2-13x+22[/tex]

[tex]x^2-13x+22\\=x^2-11x-2x+22\\=x(x-11)-2(x-11)\\=(x-2)(x-11)[/tex]

Now, replacing numerators and denominators with their factors

[tex]\frac{8x-16}{x^2-13x+22}\\=\frac{8(x-2)}{(x-11)(x-2)}\\Cancelling\:(x-2)\\=\frac{8}{x-11}, x\neq 11[/tex]

So, simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]

Option C is correct.

Answer

The answer is +200 or 200.

Please correct me If I am wrong

This is what my teacher taught me

Step-by-step explanation:

Answer:

MO = 22 units

Step-by-step explanation:

To solve this problem, you have to set the equations equal to each other. Since we are given that N is the midpoint, MN and NO are going to be equal to each other.

Set them equal and solve for x:

2x+3 = 3x-1

Subtract 2x from the right to get the variable on one side and add 1 to the right side.

4 = x

Now that we know what x is, you can plug it into the equation and add them together

2(4)+3 = 11

3(4)-1 = 11

11+11 = 22

Hope this helps :)

Answer:

Slope of the tangent line at x=-1

[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]

Step-by-step explanation:

Explanation:-

Given function

                            y = f(x) = e ˣ⁻⁴  ...(i)

       Differentiating equation (i) with respective to 'x' , we get

                         [tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]

                       [tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]

Slope of the tangent line

                       [tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]

Answer:

The variable should be m=minutes

The equation should be 25m=175

Thus the answer being 7 minutes.

Answer:

$ 1,001,258

Step-by-step explanation:

Revenue in economics is the profit without the deduction of costs to sell. To find the revenue, multiply the quantity by its given price. Lastly, add all of the numbers up to get the revenue.

The revenue of the stadium is:

(Price 1 × Quantity 1) + (Price 2 × Quantity 2) + .....

(4000×75) + (5350×62) + (7542×49) =

1001258

Answer:

the answer would be graph C

Step-by-step explanation:

also the next time you have a question like this, you can use Desmos is a free graphing platform, thats how I answered this!

Good Luck and have a good day!

Answer:

Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface

Step-by-step explanation:

The height of Cassidy's diving platform above the water = 6 ft.

The equation that models her dive is d = x² - 7·x + 6

Where;

d = Her vertical position or distance from the water surface

x = Here horizontal distance from the platform

At Cassidy's maximum depth, we have;

dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0

x = 7/2 = 3.5

∴ At Cassidy's maximum depth, x = 3.5 ft.

The maximum depth, [tex]d_{max}[/tex] = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25

The maximum depth, Cassidy went before coming back up to the surface = [tex]d_{max}[/tex] = -6.25 ft = 6.25 ft. below the surface of the water.

Answer:

___Its the first option___

Answer:

A

Step-by-step explanation:

The square root of 16 is 4 and of 49 is 7. 4/7 is equivalent to the square root of 16/49.

Answer:

1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3

Step-by-step explanation:

Answer:

1.4 times is the correct answer

Answer:b

Step-by-step explanation:

Plato

Given:

Expression is

[tex](3x+4)^2-(x-10)^2[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex](3x+4)^2-(x-10)^2[/tex]

Using [tex](a+b)^2=a^2+2ab+b^2[/tex] and [tex](a-b)^2=a^2-2ab+b^2[/tex], we get

[tex]=(3x)^2+2(3x)(4)+(4)^2-[(x)^2-2(x)(10)+(10)^2][/tex]

[tex]=9x^2+24x+16-[x^2-20x+100][/tex]

[tex]=9x^2+24x+16-x^2+20x-100[/tex]

On combining like term, we get

[tex]=(9x^2-x^2)+(24x+20x)+(16-100)[/tex]

[tex]=8x^2+44x+(-84)[/tex]

[tex]=8x^2+44x-84[/tex]

Therefore, the correct option is c.

Answer:

36, 45

Step-by-step explanation:

Using equations you get [tex]x + x+9=81[/tex] because one number is 9 more than the other and the sum is 81. Simplifying you get, [tex]2x = 72[/tex]. Divide both sides by 2 to get [tex]x=36[/tex]. Remember this is only x so to get the other number you have to add 9 to 36 to get 45 as the other number.

Answer:

[tex]4[/tex]

Step-by-step explanation:

Simplify the expression

Answer:

373.000

Step-by-step explanation:

From the given information:

Let classify each digit into their place numbers.

The figure given is:

372,998

8 - unit

9 - tens

9 - hundred

2 - thousand

7 - ten thousand

3 - hundred thousand

To round 372,998 to the tenth thousandths position, then we have a decimal in the ten thousand place.

Note: That when determining the tenth thousandth place, we don't have unit position so counting start with 8 as tenth.

i.e.

37.2998 ≅ 373.000

Answer:

ECHA

Step-by-step explanation: