PLZ HELP ASAP ITS FOR A TEST!!!!

Two friends, Justin and Brooklyn, had just bought their first cars. The equation y=40.9x represents the number of miles, y, that Justin can drive his car for every x gallons of gas. The table below represents the number of miles, y, that Brooklyn can drive her car for every x gallons of gas.

Answer:

r=-1

Step-by-step explanation:

- 3 ( 1 + 6 r ) = 14 - r

-3-18r=14-r

-3-18r+r=14

-3-17r=14

-17r=14+3

-17r=17

r=-1

Answer:

D all real numbers

Step-by-step explanation:

Hope this helped

The percentage by which the price of the car went up from the original price is 60% (third option)

The first step is to determine the price of the car after the percentage increase. Percentage is the fraction of a number as a value out of 100. The sign that is used to represent percentage is %.

Price of the car after the percentage increase = (1 + percent increase/100) x original cost of the car

Price of the car after the percentage increase = (1 + 20/100) x 20,000

Price of the car after the percentage increase = (1 + 0.2) x 20,000

Price of the car after the percentage increase = 1.2 x 20,000 = $24,000

Price after the $8,000 increase = $24,000 + 8,000 = $32,000

Percentage of the original price = (32,000 / 20,000) - 1 = 0.60 = 60%

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There are 205,768 ways to select four books from the shelf in such a way that exactly one pair of books are adjacent.

To solve this problem, we can break it down into two cases:

Case 1: The pair of books is at the beginning or end of the selection.

If the pair of books is at the beginning, there are 39 options for the third book, and 38 options for the fourth book. So, there are 39 * 38 = 1,482 ways to select the books in this case.

Similarly, if the pair of books is at the end, there are also 1,482 ways to select the books.

Case 2: The pair of books is not at the beginning or end of the selection.

In this case, we have 38 options for the first book, since it cannot be adjacent to the pair. Then, there are 37 options for the second book, as it also cannot be adjacent to the pair. For the third and fourth books, there are 38 and 37 options respectively.

So, there are 38 * 37 * 38 * 37 = 202,804 ways to select the books in this case.

Finally, we can add up the possibilities from both cases:

1,482 + 1,482 + 202,804 = 205,768

Therefore, there are 205,768 ways to select four books from the shelf in such a way that exactly one pair of books are adjacent.

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The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴

To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.

For the first term x, the derivative is simply 1.

For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.

For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.

Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.

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Complete question:

Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵

(6x + 1)⁵ + 30x(6x + 1)⁴

(6x + 1)⁴ (36x + 1)

x-1/6

No correct answer provided.

The probability that at least 5 will do their homework on time in a class of 50 students is 0.1

Probability

Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.

the probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.06.

Each student does homework independently.

In a statistics class of 50 students, what is the probability that at least 5 will do their homework on time.

Probability = event occur/ total number of outcomes

                  = 5/50= 1/10=0.1

Thus the probability becomes 0.1

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The cash back you would receive on your purchases of $2,738.21 using this credit card is $33.92.

To calculate the cash back you would receive using the given credit card, we need to multiply the total amount spent in each category by the corresponding cash back percentage, and then add up those amounts.

For gas purchases, you spent $134.92, so the cash back earned on that amount would be:

$134.92 x 3% = $4.05

For grocery store purchases, you spent $384.23, so the cash back earned on that amount would be:

$384.23 x 2% = $7.68

For all other purchases, you spent a total of:

$2,738.21 - $134.92 - $384.23 = $2,219.06

So the cash back earned on that amount would be:

$2,219.06 x 1% = $22.19

Adding up the cash back earned in each category, we get:

$4.05 + $7.68 + $22.19 = $33.92

∴ Cashback = $33.92

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Answer:

27/16 the same as 1 11/16

Step-by-step explanation:

First, make it an improper fraction:

9/2 ÷ 8/3

now flip the second number and multiply across:

9/2 × 3/8 = 27/16

Therefore\(\sqrt{ (27x^2)} = 3x\sqrt{3} ,\) which is the simplified form of the expression.

Radical expressions and exponential expressions are two different ways of representing a number or a quantity. Radical expressions use radicals, which are roots of numbers, while exponential expressions use exponents, which are powers of numbers.

To rewrite a radical expression as an exponential expression, we need to use the property of radicals that states that the n-th root of a number a can be written as a^(1/n).For example, the square root of 4 can be written as, since

\(4^(1/2) = 2.\)

Similarly, the cube root of 8 can be written as 8^(1/3), since 8^(1/3) = 2.

We can use this property to rewrite any radical expression as an exponential expression.To simplify a radical expression that has been rewritten as an exponential expression, we need to use the laws of exponents.

For example, if we have the expression

\((2^(1/3))^2,\)

we can simplify it by multiplying the exponents, which gives us

\(2^(2/3)\).

Similarly, if we have the expression

\((2^(1/3))(4^(1/3)),\)

we can simplify it by multiplying the bases, which gives us

\((2\times4)^(\frac{1}{3} ) = 8^(\frac{1}{3} ).\)

Let's consider an example. Rewrite the radical expression

\(\sqrt{ (27x^2) }\)

as an exponential expression and then simplify it.Using the property of radicals, we can write

\(\sqrt{(27x^2)} (27x^2)^(1/2)\)

.Using the laws of exponents, we can simplify

(27x^2)^(1/2) as (9x)^(1/2)(3)^(1/2) = 3x√3.

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Answer:

D =  ( d * 5500 ) / W

Step-by-step explanation:

Diameter of rope " d "  supports "w" weight

i.e.  d = W

d ( inches ) = W ( pounds )

   ? ( inches ) = 5500 pounds

The Unknown diameter  D ( ? ) = d * 5500 / W

Answer:

you can fit 1000 hairs in 10 cm

Step-by-step explanation:

\(10^2= .01\)

\(.01*1000 = 10\)

Answer:

Graph C.

Step-by-step explanation:

Hi there!

Well let’s first put,

7x + 2y < 8

We need to single out y.

7x + 2y < 8

-7x to both sides

2y < -7x + 8

Divide everything by 2,

y < -7/2x + 4

Well the shade on the graph should be going down because it is y is less than,

And the y intercept should be at 4 with a dotted line and a slope of -7/2.

So graph C. Is correct.

Hope this helps :)

The graph that represents the inequality 7x + 2y < 8 will be graph C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The inequality is given as,

7x + 2y < 8

Simplify the equation in slope-intercept form, then we have

7x + 2y < 8

2y < 8 - 2x

y < (8 - 2x) / 2

The value of the variable 'y' is less. Then the graph that represents the inequality 7x + 2y < 8 will be graph C.

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Answer:

She has 6 hours left.

Step-by-step explanation:

She started with 3 hours saved and got 2 more hours for each day that she did her chores and ate her vegetables.  Since she did her chores and ate her vegetables 4 days that means that in total she gained 8 hours (4 * 2) plus the ones she already had saved.   So 8 + 3 = 12 - 6 = 6

Please give brainliest

The total power drawn by all six rooms is approximately \(0.13824\) kilowatts.

To solve this problem step-by-step, let's consider the following:

1. Probability that any one room will be switched on: \(0.4\)

This means that the probability of a room being switched on is \(0.4\), and the probability of it being switched off is \(1 - 0.4 = 0.6\).

2. Power drawn by a room when it is switched on: \(0.5\) kilowatts

Given that the power drawn by a room when it is switched on is \(0.5\) kilowatts, we can calculate the power drawn by a room when it is switched off by multiplying the power drawn when switched on by the probability of being switched off:

Power drawn when switched off = \(0.5 \times 0.6 = 0.3\) kilowatts

3. Total power drawn by all six rooms when switched on:

Since each room operates independently, we can treat the power drawn by each room as a separate event. To find the total power drawn by all six rooms when they are switched on, we multiply the power drawn by a single room by the number of rooms:

Total power drawn when all rooms are switched on = \(0.5 \, \text{kW} \times 6 = 3 \, \text{kW}\)

4. Total power drawn by all six rooms:

To find the total power drawn by all six rooms, we need to consider the cases when rooms are switched on and off.

Since the probability of a room being switched on is \(0.4\), the probability of it being switched off is \(0.6\). We can calculate the total power drawn as follows:

Total power drawn = (Power drawn when all rooms are switched on) \(\times\) (Probability all rooms are switched on) + (Power drawn when all rooms are switched off) \(\times\) (Probability all rooms are switched off)

Total power drawn = \(3 \, \text{kW} \times (0.4)^6 + 0 \, \text{kW} \times (0.6)^6\)

Calculating this expression, we find:

Total power drawn = \(3 \times 0.4^6 \approx 0.13824 \, \text{kW}\)

Therefore, the total power drawn by all six rooms is approximately \(0.13824\) kilowatts.

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Answer:

\(y \geqslant \frac{2}{3} x - 2\)

\(y + 2 \geqslant \frac{2}{3} x\)

\( \frac{2}{3}x - y \leqslant 2\)

\(2x - 3y \leqslant 6\)

Answer:

the answer is c

Answer: the first one

Step-by-step explanation:

It is the only one that is right

Answer:

A rational number is a number that can be put in the form p / q where p and q are integers.

3 and 17 are integers

3 / 17 is rational

Answer:

69

Step-by-step explanation:

lol

The value of the fifth term (a₅) is 96.

In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the value of the fifth term (a₅) as follows;

a₅ = -2a₅₋₁

a₅ = -2a₄

a₅ = -2 (-2a₄₋₁)

a₅ = 4a₃

a₅ = 4 (-2a₃₋₁)

a₅ = -8a₂

a₅ = -8 (-2a₂₋₁)

a₅ = 16 a₁

a₅ = 16 × 6

a₅ = 96

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If 1/4 < x/7 < 1/3, then

7/4 < x < 7/3

1.75 < x < 2.333…

so that x = 2.

Answer:

Sam's commission for last month can be calculated as follows:

Commission = 3% of sales

Commission = 3/100 * $46,400

Commission = $1,392

Therefore, Sam's total income for last month would be his salary plus commission:

Total income = Salary + Commission

Total income = $1,950 + $1,392

Total income = $3,342

So Sam earned $3,342 in total for last month.

Step-by-step explanation:

Answer:

you pay $69.74

Step-by-step explanation:

total cost without coupon: 15+65+14 = 94

apply the 30% discount ⇒ 94 × .30 = 28.20

subtract the savings ⇒ 94.00 - 28.20

total, after coupon, before tax ⇒ 65.80

apply 6% tax to 65.80  ⇒  65.8 × .06  ⇒ 3.94

add tax to cost after coupon ⇒  65.80 + 3.94

you pay $69.74

Answer:

the money should be split as per each girl sold. total boxes sold is 100.

Step-by-step explanation:

total boxes sold is 100. Mia sold 57/100 keela 28/100 and Michelle 15/100.

mia=456$

keela=224$

michelle=120$

calculated as boxes sold/100 x 800$

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

24 ml oil

60 g onions

360 g potatoes

400 ml milk

Step-by-step explanation:

The recipe makes 16 portions and you only need 4 portions. Since 16 is 4 times bigger than what you need, just divide everything you've been given by 4.

*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.

1) 96/4 = 24 ml

2) 240/4 = 60 g

3) 1.44/4 = 0.36 kg

They want it in grams, so times it by 1,000 to convert. this gives you 360 g.

4) 1.6/4 = 0.4 l

They want it in ml, so times it by 1,000 to convert. this gives you 400 ml.

Hope this helped : )

Answer:

same i dont know just need points but good luck