7 apples and 11 bananas cost $1.47. how much do 2 apples and a banana cost?

The value of a must be equal to (k + 2), and then the equation is only true if k = 6, then a = 8.

We want the equation:

(k + 2)x + 3k = ax + 18

To be true for all values of x, then we must have the same thing in both sides of our equation.

Now we wod want the dependence on x to dissapear, then:

(k + 2)x = ax

(k + 2) = a

That must be value of a, and then the equation becomes:

k*x + 2x + 3k = (k+ 2)x + 18

3k = 18

This is only true if k = 6, then:

k + 2 = a

6 + 2 = a

a = 8

That must the value of a.

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Answer:

A=√26

-

2

Step-by-step explanation:

thank me later bye

Answer:

see below

Step-by-step explanation:

=   (5+7) / ( z+1)   =   12 / (z+1)

Answer:

mk 50- (7.50x2)

50-15=35

then 1.50 can be shoved in 35.00

a)23

it will only go up to 34.5

Step-by-step explanation:

sorry your answer is a)23

If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.

Given is relative frequency histogram.

Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

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Answer:

y = - \(\frac{1}{3}\) x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 3 ← is in slope- intercept form

with slope m = 3

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) , then

y = - \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 6, 9 ) into the partial equation

9 = - \(\frac{1}{3}\) (-6) + c = 2 + c ( subtract 2 from both sides )

7 = c

y = - \(\frac{1}{3}\) x + 7 ← equation of perpendicular line

Step-by-step explanation:

kindly find attached detailed information of the remaining information as requested for your reference

1. The lower class limit is the left number in the age column

   i.e in the 25-34 the lower class limit is 25          

2. The upper class limit is the right number in the age column

   i.e in the 25-34 the lower class limit is 34

3. The class width is the difference  between the class boundaries of a single class

 class width = 34.5-24.5= 10

4. The number of individuals is= 29+34+16+3+5+1+2= 90    

Answer:

If this is what your question is, yes the price of the burger is a function of the number of patties.

Step-by-step explanation:

This is because, the number of patties is the independent variable and the price is the dependent variable. A function can be written as y = f(x), here x is the number of patties. The price of the burger is y. I had this question that is also why I know this is right.

I hope this helps and have a nice day..

There is no direct relationship between the price of the burger and the amount of patties in it.

To determine if the price of a burger is a function of the number of patties, the following calculations must be performed:

First, the price of each hamburger must be divided by the number of patties it has.

Thus, it can be seen that there is no direct relationship between the price of the hamburger and the amount of patties in it.

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To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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Answer: 1. sample mean = 97.7; sample standard deviation(s) = 9.9467; standard error (SE) = 2.2241

2. t-critical value = 2.861; margin of error (m) = 97.9 ± 6.363

3. Lower limits = 91.537; upper limit = 104.263

4. d. Sheila is 99% confident that the true population mean is between 91.537 points and 104.263 points.

Step-by-step explanation: Knowing that this sample has 20 individuals, which means n = 20:

1. Sample mean is the average of the data set:

mean = \(\frac{81+84+...+115+116}{20}\) = 97.9

Sample standard deviation is the spread of the sample data set from the mean:

s = \(\sqrt{\frac{(81-97.9)^{2}+...+(116-97.9)^{2}}{20-1} }\) = 9.9467

Standard Error shows how far the mean of the set is from the true popultaion mean:

SE = \(\frac{9.9467}{\sqrt{20} }\) = 2.2241

2. The t-critical value (t) is the value you use to decide if you reject or accept the null hypothesis. It can be calculated by a calculator or found in the t-test table. To use the table:

Degrees of freedom for this set is: n - 1 = 19

Critical value (α) = 0.99. For the t-test: \(\frac{1-0.99}{2}\) = 0.005

\(t_{19,0.005}\) = 2.861

Margin of error (m) shows, in percentage, how different your results are from the real population value. It is calculated as:

m = 97.9 ± 2.861*2.2241 = 97.9 ± 6.363

3. Lower and Upper limits are the interval the true mean can assume with a determined certainty.

lower limit = 97.9 - 6.363 = 91.537

upper limit = 97.9 + 6.363 = 104.263

4. In this case, the statistics shows that the true population mean is between 91.537 and 104.263, 99% of the time.

Answer:

Answer is below:

Step-by-step explanation:

A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. The word “per” usually indicates you are dealing with a rate.

I hope this helps!

The ratio between the two given quantities is 3:1

What is proportion ?

A proportion is an equation based on the equality of two ratios.

It is to find the ratio of two quantities given as :

5 days to 60 hours

It is to be noted that two quantities can only compared when there units are same therefore first let us make the units same :

we known that :

1 day = 24 hours

that is, 5 days = 5x24 = 120 hours

Now, we can find the ratio :

5 days : 60 hours

120 hours : 60 hours

3 : 1

Therefore, the ratio between the two given quantities is 3:1

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Answer:

0.8

Step-by-step explanation:

Convert 71/100 into a decimal

.71

0.8 > .71

Answer:

yes,. it can be smaller

Step-by-step explanation:

Perimeter for squares and rectangles is always less than their area, whereas it can be more than the area in case of triangles.

Step-by-step explanation:

See below

Step-by-step explanation:

x+2y=11 )×3

3x-y=5

------------------

6y-y =33+5 3x-38/5=5

5y=38 3x=25-38/5

y=38/5 x=13/15

Complete question is;

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 128 ounces and a standard deviation of 0.20 ounce. You randomly select 35 cans and carefully measure the contents. The sample mean of the cans is 127.9 ounces. Does the machine need to be? reset? Explain your reasoning.

(yes/no)?, it is (very unlikely/ likely) that you would have randomly sampled 35 cans with a mean equal to 127.9 ?ounces, because it (lies/ does not lie) within the range of a usual? event, namely within (1 standard deviation, 2 standard deviations 3 standard deviations) of the mean of the sample means.

Answer:

Yes, we should reset the machine because it is unusual to have a mean equal to 127.9 from a random sample of 35 as the mean of 127.9 doesn't fall within range of a usual event with 2 standard deviations of the mean of the sample means.

Step-by-step explanation:

We are given;

Mean: μ = 128

Standard deviation; σ = 0.2

n = 35

Now, formula for standard error of mean is given as;

se = σ/√n

se = 0.2/√35

se = 0.0338

Normally, the range of values should be within 2 standard deviations of mean. In this case, normal range of values will be;

μ ± 2se = 128 ± 0.0338

This gives; 127.9662, 128.0338

So, Yes, we should reset the machine because it is unusual to have a mean equal to 127.9 from a random sample of 35 as the mean of 127.9 doesn't fall within range of a usual event with 2 standard deviations of the mean of the sample means.

Answer:

It means that the both sides of the expression in the given equation must be/are congruent.

Hope this helps!

Doing the linear regression in a calculator, you'll get that the equation that fits the data is:

Answer: Option C

Hi!

The coefficient of x is known as the slope, and that can be represented as rise/run, and in this example is it 1/4, therefore your rise is 1.

Hope this helps! :D

Answer:

Step-by-step explanation:

We know that:

Let's compare the slope and its formula.

Work:

Hence, the rise of the slope is 1.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

B, B, A.

Step-by-step explanation:

5x means 5 multiplied by x, so is it A, B or C? the product, because that means multiplied. a is B.

For b, we can see that 7 is a constant, because it isn't being multiplied by anything.

For c, 2y is 2 multiplied by y. Y would be the variable, and 2 would be the coefficient.

Answer:

2 hours 6 minutes

Step-by-step explanation:

40% of 315 is 126 [miles]

126 miles = 126 minutes, since he went at 60 miles per hour [one mile per minute]

126 minutes = 2 hours 6 minutes

So, 2 hours 6 minutes, or 126 minutes.

Answer:

198, 2088, 2286, 306

Step-by-step explanation:

i think those should be right in order of questioning, i got a bit confused by the way it was presented

Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years)   \({}\)     Cost (thousands of dollars)

0                           \({}\)      35

5                           \({}\)      27

10                           \({}\)     21

15                           \({}\)     16

20                           \({}\)    12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years)   \({}\)     Cost (thousands of dollars)

0                           \({}\)      35

5                           \({}\)      40.2

10                           \({}\)    46.3

15                           \({}\)    53.2

20                           \({}\)    61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease

3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease

4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease

Therefore. the Gasoline car is best approximated by exponential function

Answer:

Yes, SSS

Step-by-step explanation:

Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.

The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

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Answer:

A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).