if 25 articles cost $43.75 how much does each cost?​

Tim covered 21.333 kilometers

Kilometers, km covered is distance, d

d = speed / time

d = 80 / 3 hours 45 mins

Converting 45 mins to hours we have

1 hour = 60 minutes

? Hours = 45 minutes

? = 45 / 60 = 0.75

So time is 3.75 hours

d = 80 / 3.75

= 64 / 3

= 21.333km

hope it helps

Answer:

300 km

Step-by-step explanation:

Tim drives 80 km in 1 hour or 60 minutes

Tim drives in 1 minute = 80/60 km

so, tim drives in 3 hours 45 minutes ( 225 minutes)

\( \frac{80 \times 225}{60} \)

= 300 km

1n=n Answer:

Step-by-step explanation:

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Answer:

6 donuts

Step-by-step explanation:

total donut = 6 + 8 + 4

= 18

\( \frac{1}{3} \times 18 = 6\)

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

hope it's helpful for you

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Answer:

blue piece is 1/2 because it takes up half of the square, the purple is only 1/4 because it would take 4 purple to fill the big square and the orange is half of the purple so it takes double of pieces so 8 pieces which is 1/8

Answer:

\(a_n=8n-11\)

Step-by-step explanation:

Each subsequent term increases by 8 and the first term is -3, so we can generate an arithmetic sequence to determine the nth term:

\(a_n=a_1+(n-1)d\\a_n=-3+(n-1)(8)\\a_n=-3+8n-8\\a_n=8n-11\)

Answer:

£169

Step-by-step explanation:

because the number in the decimal immediately after 8 the integer 168, is up to or more than 5.

The required round of  £168.51 to the nearest pound is £169.

Given that,
To round £168.51 to the nearest pound.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
£168.51 is given in the question and asked to round is to the nearest pound, since after the decimal the number 51 is closer to the nearest zero i.e. 100,
Implies,
The nearest pound to the  £168.51 is  £169

Thus, the required round of  £168.51 to the nearest pound is £169.

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Answer:

96

Step-by-step explanation:

Step 1: Equation

6 ( m - 4 )

Step 2: Given

m = 20

Step 3: Solve

6 ( 20 - 4 )

Step 4: Multiply

6 ( 16 )

Answer:

96

Hope This Helps :)

The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.

Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.

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Answer:

  angle PQS = 53°

Step-by-step explanation:

You want the measure of angle PQS given that right angle PQR is divided into angles PQS = 4+7a and SQR = 9+4a.

The angle addition theorem tells you the whole is the sum of the parts:

  ∠PQR = ∠PQS +∠SQR

  90° = (4 +7a)° +(9 +4a)°

  0 = -77 +11a . . . . . . . . . . divide by ° and subtract 90

  7 = a . . . . . . . . . . . . . . add 77 and divide by 11

The measure of angle PQS is ...

  ∠PQS = (4 +7·7)° = 53°

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The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.

The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.

The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.

On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.

By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.

Therefore, the correct answer is:

H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.

Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.

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The bell-shaped distribution is the normal distribution. To label the curve, you have to apply the empirical rule of the normal distribution.

Remember that the mean is always in the center of the distribution.

This rule states that:

68% of the distribution is within 1 standard deviation of the mean of the distribution.

95% of the distribution is within 2 standard deviations of the mean of the distribution.

99.7% of the distribution is within 3 standard deviations of the mean.

In the graph you can write this rule as follows:

The given distribution has the following statistics:

• The distribution has its center at the mean, in this case, the center of the distribution is 143.

• 68% of the distribution will be within 1 standard deviation of the mean, you can determine the values as follows:

68% of this distribution is within 114.8 and 171.2.

• 95% of the distribution is within 2 standard deviations of the mean, that is:

95% of this distribution is within 86.6 and 199.4.

• 99.7% of the distribution is within 3 standard deviations of the mean, that is:

99.7% of this distribution is within 58.4 and 227.6.

Next, you have to draw the intervals calculated:

Answer:

Step-by-step explanation:

Given

Two points given on the graph:

Substitute the coordinates and simplify:

Divide the second equation by the first to find the value of b:

The equation is:

Answer:

h(x) = 3*2^x

Step-by-step explanation:

The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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Answer:

D choice.

Step-by-step explanation:

Domain is not continuous so there cannot be b < x < a.

Therefore, we can rule out A and C choice.

B choice is incorrect because -7 is not part of the domain (as shown in the graph.)

So the answer is D.

Answer:

0.236

Step-by-step explanation:

The speed from City A to City B is 352 miles/hour.

Given:

Distance for trip = 1600 miles

Distance for return trip = 1600 miles

The round-trip took 8 h 20 min.

Total time taken for both trips = 8 hours 20 minutes = 8 + (1/3) hours = 25/3 hours

It is mentioned that on the return trip, the average speed was 20% faster than the outbound speed.

Let's assume x is the speed for an outbound trip.

So, x + 20% of x is the average speed of the return trip

x + 20% of x = x + 0.2x = 1.2x

Speed for the return trip = 1.2x

Total time = (distance/speed of outbound trip) + (distance/speed of return trip)

⇒ \(\frac{25}{3} =\frac{1600}{x} +\frac{1600}{1.2x}\)

⇒ \(\frac{25x}{3} =\frac{1600*1.2 +1600}{1.2}\)

⇒ \(10x = 3520\)

⇒ \(x = 352\)

Therefore, the speed from City A to City B is 352 miles/hour.

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Answer:

2.69 x \(10^{9}\)

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x \(10^{9}\) ≈ 2.69 x \(10^{9}\)

The number of times a heart will beat in 73 years is required.

The heart will beat \(1.6\times 10^{11}\ \text{times}\) in a lifetime.

The number of times heart beats per minute is 70.

Number of years in a lifetime is 73 years

Ignoring leap year a year has 365 days.

So minutes in a leap year is

\(365\times 24\times 60\times 60\)

Minutes in a lifetime of 73 years

\(73\times 365\times 24\times 60\times 60\)

The product of beats per minute and the minutes in a lifetime will given the required heart beats

\(70\times 73\times 365\times 24\times 60\times 60=1.6\times 10^{11}\ \text{beats}\)

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Answer:

you plot them together

1. draw a t shape and then plot it like x then y

Answer:

trust your instincts

Step-by-step explanation:

decide on your own destiny i can not interfeir

The answer is A and C. It wouldn't be triangles; they don't have arcs. It also can't be similar circles, since they could be different sizes. Therefore, it's A and C.

Two arcs are congruent if they have the same measure and they belong to same circle or to congruent circles.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

An arc is a portion of a circle's circumference, which is the distance around the circle.

Two arcs are said to be congruent if they have the same length or measure.

Congruent arcs always belong to the same circle, which means they share the same center and radius.

Hence, two arcs are congruent if they have the same measure and they belong to same circle or to congruent circle.

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Answer:

5^12

Step-by-step explanation:

This is called the "Power of Powers rule." When you are doing this rule, the inside exponent inside the parenthesis (the ^4 in this case) multiplies with the one outside the parenthesis, like this: 5^4*3 = 12.

However, if there is a base number next to the exponent outside the parenthesis that is a different number than the one inside the parenthesis, this method will not work. (Example: (5^4)5^3)

Important note: Anytime you are combining exponents through any rule, the base number must be the same to be able to combine.

Answer:

-15/4

Step-by-step explanation:

Add 2 1/2 and 4 1/4

Take that fraction and subtract it from 10 1/2

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer:

\(f(1)=70\)

\(f(n)=f(n-1)+6\)

Step-by-step explanation:

One is given the following function:

\(f(n)=64+6n\)

One is asked to evaluate the function for \((f(1))\), substitute \((1)\) in place of \((n)\), and simplify to evaluate:

\(f(1)=64+6(1)\)

\(f(1)=64+6\)

\(f(1)=70\)

A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:

\(a_n=a_(_n_-_1_)+d\)

Where (\(a_n\)) is the evaluator term (\(a_(_n_-_1_)\)) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,

\(a_n=a_(_n_-_1_)+d\)

\(a_n=a_(_n_-_1_)+6\)

\(f(n)=f(n-1)+6\)

B) 13

Step-by-step explanation:

Set up the question by doing 2x + 10 + 4x + 1 = 29 since both of these sections equal KN or 29. Simplify it to 6x + 11 = 29. Subtract 11 from both sides so 6x = 18. Divided both sides by 6 so x =3. CN’s equation is 4x + 1. Plug 3 in for x to be 4(3) + 1 which is 13. Hope this helped!

Answer:

13

Step-by-step explanation:

If 29 is KN, that would mean that both expressions, since they make up KN, add up to 29.

So, you end up combining like terms and getting this:

6x+11=29

Subtract 11 from both sides

6x=18

Divide both sides by 6

x=3

and now to find out CN, simply plug 3 in for x:

4(3)+1

12+1

CN=13

The 5th term of the arithmetic series is  1179/ 19.

The 10th term of the arithmetic series , S is 66.

Using arithmetic formula,

aₙ = a + (n - 1)d

where

Therefore,

66 = a + 9d

The sum of the first 20 terms of S is 1290.

Therefore,

Sₙ = n / 2 (2a + (n - 1)d)

1290 = 10(2a + 19d)

1290 = 20a + 190d

combine the equation

66 = a + 9d

1290 = 20a + 190d

Hence,

a = 66 - 9d

1290 = 20(66 - 9d) + 190d

1290 = 1320 - 180 + 190d

1290 - 1320 + 180 = 190d

190d = 150

d = 150 / 190

d = 15 / 19

Hence,

a = 66 - 9(15  /19)

a = 66 - 135 / 19

a = 1254 - 135/ 19

a = 1119 / 19

Hence, let's find the fifth term.

a₅ = a + 4d

a₅ = 1119 / 19 + 4(15 / 19)

a₅ = 1119 / 19 + 60 / 19

Therefore,

a₅ =  1179/ 19

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Adam's income is 16.67% less than Pat's income.

Let's assume Adam's income is $100

Then Pat's income is 20% more than Adam's income, which means Pat's income is:

                 $100 + $20 = $120

Now, we need to find out how much percent Adam's income is less than Pat's income. We can use the following formula to calculate the percentage decrease:

Percentage decrease = (Decrease in value / Original value) x 100

Decrease in value is the difference between Pat's income and Adam's income, which is:

                            $120 - $100 = $20

The original value is Pat's income, which is $120

So, the percentage decrease in Adam's income compared to Pat's is:

(20 ÷ 120) × 100

= 0.16666 × 100

= 16.666%

= 16.67% (approx)

Therefore, Adam's income is 16.67% less than Pat's income.

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Answer

45x2 power is y=45x

Step-by-step explanation:

Answer:

\(x = 16\)

Step-by-step explanation:

Given

\(log_{16}(x) + log_4(x) + log_2(x) = 7\)

Required

Solve for x

\(log_{16}(x) + log_4(x) + log_2(x) = 7\)

Change base of 16 and base of 4 to base 2

\(\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7\)

Express 16 and 4 as 2^4 and 2^2 respectively

\(\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7\)

The above can be rewritten as:

\(\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7\)

\(log_22 = 1\)

So, we have:

\(\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7\)

\(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7\)

Multiply through by 4

\(4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4\)

\(log_2(x) + 2}log_2(x) + 4log_2(x) = 28\)

\(7log_2(x) = 28\)

Divide through by 7

\(\frac{7log_2(x)}{7} = \frac{28}{7}\)

\(log_2(x) = 4\)

Apply the following law of logarithm:

If \(log_ab = c\) Then \(b = a^c\)

So, we have:

\(x = 2^4\)

\(x = 16\)