Samuel has $60 in a savings account. Each week he deposits $12 in the account. Which expression is equivalent to the total amount in the account after x weeks? select all that apply.
a. 60x + 12
b. 60 + 12x
c. 12(5 - x)
d. 12x + 60
e. 12(5 + x)

Answer:

Solution,

2(4x+3)=10x-2

or,8x+6=10x-2

or,8x-10x=-2-6

or,-2x=-8

or,X=-8/-2

X=4

Hope it helps

Good luck on your assignment

Answer:

x = 4

Step-by-step explanation:

First you want to distribute the terms:

2(4x+3) = 10x-2

8x+6 = 10x-2

then combine like terms:

8x+6 = 10x-2

-8x         -8x

6 = 2x-2

+2      +2

8 = 2x

x = 4

Answer:

Option 1

Step-by-step explanation:

Option 1 is the correct answer, because a linear function goes up on the x and y axes by the same amount. In this case, the x-coordinates increase by 1, and the y-coordinates increase by 4.

The table that represents a linear function is (a)

from the question, we have the following parameters that can be used in our computation:

The table of values

By definition;

A linear function is a function that has a constant rate of change

From the options, we have

(a) as x increase by 1, y constantly increase by 4

This means that table (a) is a linear function

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Answer:

Krystal collected 315 pop-can tabs while Natasha collected 565 pop-can tabs.

Step-by-step explanation:

Let x be number of pop-can tabs Krystal collected

Krystal: x

Natasha: x + 250

x + x + 250 = 880

2x = 880 - 250

2x = 630

x = 315

Krystal: 315 pop-can tabs

Natasha: 315+250 = 565 pop-can tabs

The gallons of gas required by Ryan to travel 286 miles is 13.2 gallons.

As the stated question;

Total gallon of gas used to drive the 260 miles = 12 gallons

Let 'x' be the gallon of gas used to drive the 286 miles.

Then, bu using the proportion

12 / 260 = x / 286

Thus,

x = 286 x 12 / 260

x = 13.2 gallons

Thus, the amount of gas required by Ryan to travel 286 miles is 13.2 gallons.

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Answer:

10%

Step-by-step explanation:

40/4 = 10.

To check:

0.10 x 40 = 4

The lower bound of the 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is 0.086.

To construct the 99% confidence interval for the population proportion (p), first find the sample proportion (p-hat) by dividing the number of people who work at home (41) by the total sample size (350): p-hat = 41/350 = 0.117.

Next, determine the standard error (SE) using the formula SE = √(p-hat * (1 - p-hat) / n) = √(0.117 * (1 - 0.117) / 350) ≈ 0.026. For a 99% confidence interval, use a z-score of 2.576.

Finally, calculate the margin of error (ME) by multiplying the z-score by the SE: ME = 2.576 * 0.026 ≈ 0.067. The lower bound of the 99% confidence interval is p-hat - ME: 0.117 - 0.067 = 0.086 (rounded to three decimal places).

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Given:

To solve the expression, follow the steps below.

Step 01: Subtract 14w from both sides.

Step 02: Subtract 6 from both sides.

Step 03: Divide both sides by 3.

Answer: w = -7.

Answer:

Step-by-step explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x  = £ 9680

\(x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000\)

Original price  = £ 11000

The chance of getting a number that is either a multiple of 2 or a multiple of 3 when tossing a fair dice once is 0.50.

When a fair dice is tossed once, there are six possible outcomes, which are the numbers 1 to 6. To determine the chance of getting a number that is either a multiple of 2 or a multiple of 3, we need to identify the favorable outcomes.

The numbers that are multiples of 2 are 2, 4, and 6, while the numbers that are multiples of 3 are 3 and 6. However, we need to be careful not to count 6 twice since it is both a multiple of 2 and a multiple of 3.

Thus, we have three favorable outcomes: 2, 4, and 6. Since there are six possible outcomes, the probability of getting a number that is either a multiple of 2 or a multiple of 3 is calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 3 / 6 = 0.50

Therefore, the chance of getting a number that is either a multiple of 2 or a multiple of 3 when tossing a fair dice once is 0.50, indicating a 50% probability.

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We select every fifth invoice in a file is systematic sampling.

'What is systemic sampling?'

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).

This method will provide you with a representative sample that can be utilized to make inferences about your community of interest if the population order is random or random-looking (for example, alphabetical).

Simple random sampling has numerous advantages over systematic sampling in terms of randomization, but systematic sampling is a little bit simpler to carry out. Similar to basic random sampling, systematic sampling can be used using a list of every member of the population. Contrary to simple random sampling, however, you can also utilize this strategy if you don't have access to a list of your population in advance.

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Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Answer:

temperature ≤ 6

Step-by-step explanation:

The highest temperature in February was 6°F. Write and graph an inequality to represent this situtation.

If the maximum temperature was 6, then the temperature reached no more than six, while still reaching 6.  Thus, the inequality should be

temperature ≤ 6

The graph would be a filled dot on the 6 pointing towards the left side of the graph (towards the -10 side)

Answer:

B - 2469 and F - 183

Step-by-step explanation:

B and F are whole numbers because they don't have any decimal places.

Answer:

b

Step-by-step explanation:

because it's a b so you would automatically wanna put down B because It's a B

Answer:

Step-by-step explanation:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Answer:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Step-by-step explanation:

Answer:$192

Step-by-step explanation:

Step 1: Multiply 800 times 12%. You get $96

Step 2: Since the question asked how much she will earn in 2yrs double the interest amount

Step 3 96+96=192

The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.

In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.

We have to determine the tangential and normal components of the acceleration when s = 10 m.

Speed (v) = 2s  

Motion is circular so, Radius of circle = 50m

Tangential acceleration = dv/dt

Tangential acceleration = d(2s) / dt

Tangential acceleration = 2(ds)/dt

Tangential acceleration = 2v

Tangential acceleration = 2(2s)

Tangential Acceleration = 4s

As given s = 10 m

Tangential acceleration = 4 x 10

Tangential acceleration  = 40 m/s^2

Normal acceleration = v^2/ r

Normal acceleration = 4s^2/r

Normal acceleration = {4 x 10^2}/50

Normal acceleration = {4 x 100}/50

Normal acceleration = 400/50

Normal acceleration = 8 m/s^2

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The complete question is:

A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle

Explanation:

From the properties of a parallelogramgiven in the image below, we will have that

From the parallelogram, we were given the opposite sides to be

Hence,

Since the property of a parallelogram states that opposite sides are equal, we will have that

Answer:

did you find the answer

Step-by-step explanation:

=πr^2h

=π(5)^2*11

=25*11π

=275π yd^3

Answer:

He paid $2.35 for each pair of socks.

An equation using the variable S is

$77.99 = 9S + (3 × $8.28) + $32

Step-by-step explanation:

Let S be the cost of a pair of socks

From the question, Mark purchase nine pairs of socks, that is, the total cost of the pairs of socks is 9S

He purchase three packages of undershirts for $8.28 each; the total cost of the three packages of shirt will be 3 × $8.28 = $24.84

and he also purchase a pair of pants for $32

Since he spent a total of $77.99, we can write that

$77.99 = 9S + (3 × $8.28) + $32

Now, we can determine S, the cost of a pair of socks

$77.99 = 9S + (3 × $8.28) + $32

$77.99 = 9S + $24.84 + $32

$77.99 = 9S + $56.84

9S = $77.99 - $56.84

9S = $21.15

S = $21.15/9

S = $2.35

Hence, he paid $2.35 for each pair of socks.

Answer:

6.6

Step-by-step explanation:

41.4-15 = 26.4

26.4 divided by 4 equals 6.6

Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

To find the average number of miles Idil would have to ride each day to meet her goal, we can use the following formula:

Average miles per day = (Total miles - Miles already ridden) / Number of days remaining

Given information:

Total miles she wants to ride = 41.4 miles

Miles already ridden = 15 miles

Number of days remaining = 4 days

Now, let's calculate the average miles per day:

Average miles per day = (41.4 - 15) / 4

Average miles per day = 26.4 / 4

Average miles per day = 6.6

So, Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

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The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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The number of chocolates remaining in the box after Chase birthday can be represented by the equation 18 - 4t = 6

Number if chocolates in the box = 18

Number of nights = 4

Remaining chocolates in the box = 6

Based on the information given, the number of chocolates remaining in the box after Chase birthday can be represented by the equation 18 - 4t = 6.

To get the number of chocolates that he takes each night will be:

18 - 4t = 6

Collect like terms

4t = 18 - 6

4t = 12

t = 12/4

t = 3

He takes 3 chocolates every night.

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\(\textit{Pythagorean Identities} \\\\ \sin^2(\theta)+\cos^2(\theta)=1\implies \cos^2(\theta )=1-\sin^2(\theta ) \\\\ 1+\cot^2(\theta)=\csc^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{1-\sin^2(\theta )}{1+\cot^2(\theta )}~~ = ~~\sin^2(\theta )\cos^2(\theta ) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1-\sin^2(\theta )}{1+\cot^2(\theta )}\implies \cfrac{\cos^2(\theta )}{\csc^2(\theta )}\implies \cfrac{\cos^2(\theta )}{ ~~ \frac{1}{\sin^2(\theta )} ~~ }\implies \cos^2(\theta )\sin^2(\theta )\)

Answer:

12a - 18

Step-by-step explanation:

6 x 2 = 12 (then add the "a" = 12a

6 x 3 = 18

put the minus in the middle then get

12a- 18