Two equivalent fractions for 2/3

Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

slope = (8 - 4)/(5 - 1) = 4/4 = 1

The polynomials are subtracted to give;

1. 6x²- 5x⁻³ - 8x⁻⁸

2. 5x³+ x - 7x⁻³

3. -2x³ + 10x² -6x + 18

4. 11x³ + 11x² + 8x + 10

5. -2x³ + 12x² - 8x + 10

These are expressions that are composed of terms, coefficients, factors, variables and constants.

They are also composed of mathematical or arithmetic operations such as;

Polynomials are algebraic expression with non-negative integer exponentiation of variables.

From the information given, we have the expressions;

1.{ (-x²) - 5x⁻³} - ( -7x² - 8x⁻⁸)

collect like terms

-x² + 7x² - 5x⁻³ - 8x⁻⁸

Add like terms

6x²- 5x⁻³ - 8x⁻⁸

2. (-2x³ + x) - ( 7x⁻³ - 7x³)

collect like terms

-2x³ + 7x³ + x - 7x⁻³

add like terms

5x³+ x - 7x⁻³

3. (3x³ + 3x² + 9) - (5x³ -7x² +6x - 9)

collect like terms

3x³- 5x³ + 3x² + 7x² -6x + 9 + 9

-2x³ + 10x² -6x + 18

4.5x³ + 5x² + 5 - (-6x³ - 6x² + 8x - 5)

collect like terms

5x³ + 6x³ + 5x² + 6x² + 8x + 5 + 5

11x³ + 11x² + 8x + 10

5. 5x³ + 3x² + 5 - (7x³ - 9x² + 8x - 5)

collect like terms

5x³ - 7x³ + 3x² + 9x² - 8x + 5 + 5

-2x³ + 12x² - 8x + 10

Hence, polynomials are also described as algebraic expressions

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Answer:

x=2 , y=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

If you are given choices, you should quote them; Otherwise we are guessing. I will give you some some choices.

Answer:

23/90

Step-by-step explanation:

Create a variable called "x" with a value of 0.2555 repeating.

10x would be equal to 2.555 repeating.

Calculate 10x - x using these numbers; 2.555 repeating minus 0.2555 repeating is 2.3 (the repeating fives subtract and cancel out). 2.3 is equal to 9x, so to find x, we write the fraction 2.3/9. To get rid of the decimal in the numerator, we multiply both the numerator and the denominator by 10: this gives 23/90. 23 is a prime number, so we know this fraction cannot be simplified further.

Answer:

-3

Step-by-step explanation:

6x - 4 = -22 6x = -18 x = -3

Answer:

x=-3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Got it right!! <3

Pls mark brainliest ^^

Answer:

The unit rate for miles per gallon is 30 3/5

miles per gallon

Step-by-step explanation:

To get the unit rate for miles per gallon, we simply divide the number of moles by the amount of gallons

Number of miles is 38 1/2 which is 77/2 miles

Number of gallons = 1 1/4 = 5/4

So unit rate will be;

77/2 divided by 5/4

= 77/2 * 4/5 = 154/5 = 30 3/5 miles per gallon

Answer:

\( \boxed{x = - \frac{1}{6}} \)

Step-by-step explanation:

\( = > \frac{1}{2} x + \frac{3}{4} = \frac{2}{3} \\ \\ = > \frac{1}{2} x = \frac{2}{3} - \frac{3}{4} \\ \\ = > \frac{1}{2} x = ( \frac{2}{3} \times \frac{4}{4} ) - (\frac{3}{4} \times \frac{3}{3} ) \\ \\ = > \frac{1}{2} x = \frac{8}{12} - \frac{9}{12} \\ \\ = > \frac{1}{2} x = \frac{8 - 9}{12} \\ \\ = > \frac{1}{2} x = - \frac{1}{12} \\ \\ = > x = 2 \times ( - \frac{1}{12} ) \\ \\ = > x = - \frac{1}{6} \)

The rate of change of the area of a circle when the radius is 4 cm is 4π cm2/sec.

This can be calculated using the formula for the area of a circle (A = πr2) and the chain rule for derivatives. The chain rule states that when the radius (r) changes, the area of a circle (A) is equal to 2πr times the rate of change of the radius (dr/dt).

Therefore, the rate of change of the area of a circle when the radius is 4 cm is equal to 2π(4 cm) × (0.5 cm/sec) = 4π cm2/sec.

Note that if the rate of change of the radius were different, the rate of change of the area would also be different. This formula can be used to calculate the rate of change of the area of a circle at any given radius, as long as the rate of change of the radius is known.

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Part A: The monthly payment for the truck is $595.07

Part B: Kevin will spend $63.75 when he fills the truck's 25-gallon tank.

Part C: Kevin's cost per mile is $0.304.

An annuity is a financial product that provides a stream of payments to an individual over a specified period of time. An annuity is typically purchased from an insurance company or financial institution in exchange for a lump sum of money.

An average is a mathematical value that represents a typical or central value within a set of data. There are different types of averages, including the mean, median, and mode.The mean, or arithmetic mean, is the most common type of average, and it is calculated by adding up all of the values in a data set and dividing by the number of values.

Part A:

To calculate the monthly payment for the truck, we can use the formula for the present value of an annuity:

Monthly payment = (PV * r) / (1 - (1 + r)⁽⁻ⁿ⁾)

Where:

PV = Present value of the loan (truck cost - down payment)

r = Interest rate per period (annual rate / 12)

n = Total number of periods (5 years * 12 months per year)

Using this formula, we have:

PV = $35,500 - $4,200 = $31,300

r = 6% / 12 = 0.005

n = 5 years * 12 months per year = 60

Monthly payment = ($31,300 * 0.005) / (1 - (1 + 0.005)⁽⁻⁶⁰⁾) = $595.07

Therefore, the monthly payment for the truck is $595.07.

Part B:

To calculate how much Kevin will spend when he fills the truck's 25-gallon tank, we can multiply the number of gallons by the average gas price:

Cost of filling tank = 25 gallons * $2.55/gallon = $63.75

Therefore, Kevin will spend $63.75 when he fills the truck's 25-gallon tank.

Part C:

To calculate Kevin's cost per mile, we need to first calculate how much he spends on gas per mile.

In one year, Kevin fills up his tank 2 times per month, for a total of 24 times per year. If he drives 7,500 miles in the first year, then he drives an average of 7,500 / 24 = 312.5 miles between fill-ups.

So, Kevin spends $63.75 every 312.5 miles on gas, or $0.204 per mile.

In addition to gas, Kevin spends $750 per year on insurance.

Therefore, Kevin's total cost per mile is:

Cost per mile = (gas cost per mile) + (insurance cost per year / miles driven per year)

Cost per mile = ($0.204) + ($750 / 7,500) = $0.304 per mile

Therefore, Kevin's cost per mile is $0.304.

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Answer:

21/50, 42%

Step-by-step explanation:

The total times the coin was flipped is 50 and the number of times it landed on tails is 50-29=21. So we need to divide 21 by 50, which gives us 42%.

Step-by-step explanation:

Hi there!

The word Question of this equation (1/4x-2=5) is:

The difference of one fourth of number and 2 is 5.

Reason:

The one fourth of number is unknown number. So, let the number be "x". The number is 1/4 X .

Then the difference of it and 2 is 5.

Which brings an algebraic expression: 1/4x-2=5.

Hope it helps!

Answer:

-6/5

Step-by-step explanation:

The slope of perpendicular lines multiply to -1

5/6 * p = -1

Multiply each side by 6/5

6/5 * 5/6 * p = -1 * 6/5

p = -6/5

The slope of the perpendicular line is -6/5

Answer:

go foward 5 3/4 from 0 then go back 1/4 because its negative and youll get 5 1/4 as the last spot you land step-by-step explanation:

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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Answer:

i say 24,890

Step-by-step explanation:

The number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.

Given that, in 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined be x.

Number of toys sold in 2014 = 12,823

Number of toys sold in 2015 = 12,823 + 24,290

=37,113

The toy store sold the same number of stuffed animals in 2016 as it did in 2015. That is, 37,113.

Now, x = Number of toys sold in 2014 + Number of toys sold in 2015 + Number of toys sold in 2016

=12,823+37,113+37,113

=87,049

Therefore, the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.

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Answer:

175 ; 5

Step-by-step explanation:

Supplementary angles sums up to 180

10x + 2x - 30 = 180

12x - 30 = 180

12x = 180 + 30

12x = 210

x = 210/12 = 17.5

10x = 10*17.5= 175

2*17.5 - 30 = 35 - 30 = 5

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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Answer:

The decimal is 4.980

Step-by-step explanation:

BRAINLIEST PLS

Answer:

The mean travelling time is 25 minutes.

Step-by-step explanation:

add up all of the values and divide by how much values there are. 5+15+25+35+45 equals 125. 125/5 equals 25

what I wrote earlier was cut off sorry, this is what I mean:

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the C-CAPM with power utility and lognormal consumption growth predicts that the representative agent in country A will consume more in the current period and that the price of an identical financial asset will be lower compared to country B.

The C-CAPM is a financial model that relates the consumption patterns and asset prices in an economy. In this scenario, the difference in subjective discount factors implies that the representative agent in country A values future consumption relatively less compared to country B. As a result, the representative agent in country A tends to consume more in the current period, prioritizing immediate consumption over saving for the future.

Furthermore, the C-CAPM suggests that the price of an identical financial asset, such as a stock or bond, will be lower in country A. This is because the higher subjective discount factor in country A implies a higher expected return requirement for investors. As a result, investors in country A will demand a higher risk premium, leading to a lower price for the financial asset.

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Answer:

Function: A, C, F, H,I

NOT: B,D,E,G

Step-by-step explanation:

To be a function every x is only allowed to pair up with one y. If there's no repeated x's, then its a function. If x repeats, it has to have the same y as the first time it showed up. If a vertical line (up and down) touches a graph in more than one place, its NOT a function. Any y can partner up with however many x's it wants to, doesn't matter, its still a function. But to be a function ONLY ONE y for each x. Life's not fair.

Answer:

Yes, it's a rational number

Step-by-step explanation:

-3/7. It is a rational because. It can be written as p/q form. Where p/q are non zero number. And in decimal it would be -0.42

Answer:

-3/7 is a rational because as it can be written as p/q form where p/q are integers and q≠0.

-3/7 = -0.4285

To the nearest hundredth,

=> -0.43

Answer:

29% as a decimal is .29

Step-by-step explanation:

you always move the decimal twice

Answer:

6.00%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

96mm²

Step-by-step explanation:

a√ a²+ 4h²

4 √4² + 4(12)²

4 √4² + 4 (144)

4√4² + 576

97. 2 mm²

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}}\) :

\( \underline{ \underline{ \text{To \: prove}}} : \)

\( \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd} = \sqrt{(a - b - c)(b - c - d)} } \)

\( \underline{ \underline{ \text{Solution}}} : \)

Left hand side ( L.H.S ) :

\( \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd}} \)

⟶ \( \tt{ \sqrt{d {k}^{3} \cdot \: d {k}^{2} } - \sqrt{d {k}^{2} \cdot \: dk } - \sqrt{dk \cdot \: d} }\)

⟶ \( \tt{ \sqrt{ {d}^{2} {k}^{5} } - \sqrt{ {d}^{2} {k}^{3} } - \sqrt{ {d}^{2}k } }\)

⟶ \( \tt{ \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: {k}^{2} \cdot \: k } - \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: k \: } - \sqrt{ {d}^{2}k } }\)

⟶ \( \tt{ \sqrt{ {d}^{2} } \cdot \sqrt{ {k}^{2} } \cdot \: \sqrt{ {k}^{2} } \cdot \: \sqrt{k} } - \sqrt{ {d}^{2} }\cdot \: \sqrt{ {k}^{2}} \cdot \: \sqrt{k} \: - \sqrt{ {d}^{2} } \cdot \: \sqrt{k} \)

⟶ \( \tt{d {k}^{2} \sqrt{k} - dk \sqrt{k} - d \sqrt{k} }\)

⟶ \( \tt{ d\sqrt{k} \: ( {k}^{2} - k - 1) } \)

Right Hand Side ( R.H.S) :

\( \tt{ \sqrt{(a - b - c)(b - c - d)}} \)

⟶ \( \tt{ \sqrt{(d {k}^{3} - d {k}^{2} - dk)( d{k}^{2} - dk - d)} }\)

⟶ \( \tt{ \sqrt{ \{dk( {k}^{2} - k - 1) \} \: \{d( {k}^{2} - k - 1) \}} }\)

⟶ \( \tt{ \sqrt{ {d}^{2}k( {k}^{2} - k - 1) ^{2} } } \)

⟶ \( \tt{ \sqrt{ {d}^{2}k } \cdot \: \sqrt{ {( {k}^{2} - k - 1)}^{2} } } \)

⟶\( \tt{ \sqrt{ {d}^{2} } \cdot \: \sqrt{k} \cdot \: \sqrt{( {k}^{2} - k - 1) ^{2} } }\)

⟶ \( \tt{d \sqrt{k} \: ( {k}^{2} - k - 1) } \)

L.H.S = R.H.S

Hence , Proved !

Hope I helped ! ♡

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Answer:

Table 1: Non Linear Relationship

Table 2: Linear Relationship

Table 3: Linear Relationship

Hope this helps!