3(4x + 2) +2(x-1) please help me with this equation

Answer:

Let, price paid by adults be x and children be y.

then,

5x+4y=78----(1)

3x+6y=63----(2)

Solving both we get

x=12,y=4.5

So adult pays £12 and child pays £4.5

The required way to write logarithmic function is \(\log_{b}({b^x})=x\)

A base must be raised to a certain exponent or power, or logarithm, in order to produce a specific number. If bx = n, then x is the logarithm of n to the base b, which is expressed mathematically as x = logb n. For instance, 23 = 8; hence, 3 is the base-2 logarithm of 8 or 3 = log2 8.

The formula for the logarithmic function is f(x) = log base b of x. The base 10 is used for the common log.

The base used by the natural log is e, an irrational integer with the value 2.71828.

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Answer: here ya go

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(7b=4(b+30)\\7b=4b+120\\3b=120\\b=40\)

Yes you are right :)

Given problem represent Fundamental Counting Theorem.

Fundamental Counting Theorem states that if an event can occur in m different ways, and another event can occur in n different ways, then the total number of occurrences of the events is m×n.

Here Taylor has 5 baskets and there are 6 balls in each basket.

That is m = 5 and n = 6

Therefore Taylor have m×n= 5×6 =30 balls

Hence here we use Fundamental counting theorem.

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\(\\ \sf\longmapsto \dfrac{BQ}{DQ}=\dfrac{RC}{CD}\)

\(\\ \sf\longmapsto \dfrac{26}{39}=\dfrac{18}{x}\)

\(\\ \sf\longmapsto \dfrac{2}{3}=\dfrac{18}{x}\)

\(\\ \sf\longmapsto 2x=54\)

\(\\ \sf\longmapsto x=27\)

Answer:

C) y = 5x - 3

Explanation:

The equation of a line has the following form:

y = mx + b

Where m, the number beside x, is the slope and b is the y-intercept.

So, if the y-intercept is -3 and the slope is 5, the equation that describes the function is:

y = 5x - 3

So, the answer is y = 5x - 3

221 degree is the direction of B to the nearest degree.

We have to find the vector B. We will substructure Equations

-9i - 8j - 5i - 4j = -14i -12j

                       = 2(-7i-6j)

From here you get the value of vector B. That is minus seven i and minus of six j. Now we can see that this is both. The signs are negative so it should lie in 3rd chord event.

And for third quarter went in their direction or we can say Angelo factor B is want A D. Plus theater. So when I. D. Plus and universal marvelous of -6 divided by -7 that provides us one or d. plus 41 degree. That is 221 degree.

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Answer:

-2 would be the answer

Step-by-step explanation:

Can you please mark me brainliest answer

The 90% confidence interval for the population standard deviation of the thicknesses of all linoleum tiles in this factory (3.27, 7.78)

To construct the 90% confidence interval for the population standard deviation of the thicknesses of all linoleum tiles in the factory, we need to use the chi-square distribution since the population standard deviation is unknown.

1. Identify the sample size (n) and sample standard deviation (s):
n = 13 (13 randomly selected linoleum tiles)
s = 4.76 (standard deviation of the thicknesses)

2. Determine the degrees of freedom (df):
df = n - 1 = 13 - 1 = 12

3. Find the chi-square values for the 90% confidence interval using a chi-square table or calculator:
The lower tail value (with 5% in the lower tail) is χ² = 4.404
The upper tail value (with 5% in the upper tail) is χ² = 21.026

4. Calculate the confidence interval for the population standard deviation:
Lower limit = √[(n - 1) * s² / χ²_upper] = √[(12 * (4.76)²) / 21.026] ≈ 3.27
Upper limit = √[(n - 1) * s² / χ²_lower] = √[(12 * (4.76)²) / 4.404] ≈ 7.78

The 90% confidence interval for the population standard deviation is approximately (3.27, 7.78).

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Answer:

I think the answer is -7 1/5, -7.1 repeating, 23/3, square root of 50

Answer:

Area = 1/2 *base * height

24 = 1/2 * b* 4

24 = 2b

b= 12cm

x=375

Answer:

Solution given:

24% of x=90

or \(\frac{24}{100} *x=90\)

\(\frac{6*x}{25}=90\)

6x=90*25

6x=2250

x=\(\frac{2250}{6}\)

x=375

Answer:

8x+12

Step-by-step explanation:

3(x+4)+5x

3(x)+3(4)+5x

3x+12+5x

3x+5x+12

8x+12

hopes this helps

Answer:

Hi!

The answer would be 8x+12

I hope this helps you :)

For given equation f(x)=9x² + 5x + 3, a = 9, b = 5 and c = 3

Also, the parabola opens upwards

We know that the standard form of quadratic function is f(x) = ax² + bx + c, where, a, b, c are real numbers with a ≠ 0

We have been given a quadratic equation f(x)=9x² + 5x + 3

Comparing above equation with the standard quadratic equation  f(x) = ax² + bx + c, we get a = 9, b = 5 and c = 3

We know that the graph of quadratic equation is a parabola.

So,  f(x)=9x² + 5x + 3 represents a parabola.

To determine whether the parabola opens up or down, we need to consider the coefficient 'a'.

if the leading coefficient 'a' is greater than zero, the parabola opens upward, and if the leading coefficient <  0, the parabola opens downward.

Here, a = 9 whch is greater than 0

So, the parabola f(x)=9x² + 5x + 3 open upward.

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Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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a. There are 28 different 2-drug combinations possible.

b. There are 56 different 3-drug combinations possible.

c. There are 56 different 5-drug combinations possible.

d.  There are 28 different 6-drug combinations possible.

e.  There were 248 different combinations of the eight drugs tested as treatments.

a. The number of 2-drug combinations of the eight drugs can be calculated using the combination formula:

C(n, k) = n! / (k!(n - k)!)

In this case, we have n = 8 (eight drugs) and k = 2 (2-drug combinations). Plugging the values into the formula:

C(8, 2) = 8! / (2!(8 - 2)!)

= 8! / (2! * 6!)

= (8 * 7 * 6!) / (2! * 6!)

= (8 * 7) / (2 * 1)

= 28

Therefore, there are 28 different 2-drug combinations possible.

b. Similar to part a, the number of 3-drug combinations can be calculated using the combination formula:

C(8, 3) = 8! / (3!(8 - 3)!)

= 8! / (3! * 5!)

= (8 * 7 * 6 * 5!) / (3! * 5!)

= (8 * 7 * 6) / (3 * 2 * 1)

= 56

Hence, there are 56 different 3-drug combinations possible.

c. Following the same approach, the number of 5-drug combinations can be calculated as:

C(8, 5) = 8! / (5!(8 - 5)!)

= 8! / (5! * 3!)

= (8 * 7 * 6 * 5 * 4 * 3!) / (5! * 3!)

= (8 * 7 * 6 * 4) / (4 * 3 * 2 * 1)

= 56

Therefore, there are 56 different 5-drug combinations possible.

d. Similarly, the number of 6-drug combinations can be calculated as:

C(8, 6) = 8! / (6!(8 - 6)!)

= 8! / (6! * 2!)

= (8 * 7 * 6!) / (6! * 2)

= (8 * 7) / 2

= 28

Hence, there are 28 different 6-drug combinations possible.

e. To find the total number of different combinations tested as treatments, we need to consider all possible combinations ranging from 1-drug to 8-drug combinations, including the control treatment with no drugs.

The total number of combinations is the sum of the combinations from each category:

C(8, 1) + C(8, 2) + C(8, 3) + C(8, 4) + C(8, 5) + C(8, 6) + C(8, 7) + C(8, 8)

Using the combination formula for each category and summing the values:

1 + 28 + 56 + 70 + 56 + 28 + 8 + 1 = 248

Therefore, there were 248 different combinations of the eight drugs tested as treatments.

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Answer:

d = 12cm

Step-by-step explanation:

d=2r = 2·6 = 12cm

Maths keeps one mentally active. The circumference = 2*(pi)*r = 6 cm. Therefore r, the radius = 6 *7/(2*22) = 42/44 = 0.954 cm.

Answer:

12

Step-by-step explanation:

It's double the radius.

Answer:

1/6

Step-by-step explanation:

Make them equal

2/3  x  2  =  4/6

1/2   x  3  =  3/6

4/6  -  3/6  =  1/6

If he ran 45 minutes each day, 5 days each week, for 12 weeks, Daniel's average rate in laps per hour was 40 laps.

To calculate the average rate in laps per hour, we need to convert all of the given time measurements to hours.

First, we know that Daniel ran 45 minutes per day, which is equivalent to 0.75 hours per day (45 ÷ 60 = 0.75).

Next, we know that he ran for 5 days each week for 12 weeks, so he ran for a total of 5 x 12 = 60 days.

Therefore, his total time spent running in hours is 60 x 0.75 = 45 hours.

Finally, we know that he ran 1,800 laps in that time. To find his average rate in laps per hour, we divide the total number of laps by the total time in hours:

1,800 laps ÷ 45 hours = 40 laps per hour

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Answer:

3  1/100

Step-by-step explanation:

Place the decimal number over a power of ten.

Answer:

2/10 or 0.2

i dont know which tenths you wanted so i did both

Hey there!☺

\(Answer:\boxed{a=\frac{b-u}{k}}\)

\(Explanation:\)

\(u=b-ak\)

In our first step, we will flip the equation:

\(-ak+b=u\)

Now add -b to both sides:

\(-ak+b+-b=u+-b\\-ak=-b+u\)

In our last step, we will divide both sides by -k:

\(\frac{-ak}{-k}=\frac{-b+u}{-k}\\a=\frac{b-u}{k}\)

a=b-u/k is your answer.

Hope this helps!☺

Answer:

500$ is the answer....

Answer:

$60 and $560

Step-by-step explanation:

Prt= Interest

(500)(0.04)(3)= $60

A = P(1 + rt)

A = 500 (1 + 0.04(3))

A= $560

Answer:

Step-by-step explanation:

Antonio’s rate is 1/6 while Emilia’s rate is 1/4 while working alone, together they will complete the job when.

t/6+t/4=1 making common denominators

(t/6)(2/2)+(t/4)(3/3)=1

(2t+3t)/12=1

5t=12

t=2.4 hours (or 2 hours and 24 minutes)

Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

The  number of visits thay Liam can make to earn his first free movie ticket is 9 visit.

Let x represent the number of visits

Since he receives 50 rewards points just for signing up and earns 12.5 points for each visit to the movie theater. This will be illustrated as:

50 + 12.5x >= 160

12.5x >= 160 - 50

12.5x >= 110

Divide

x >= 110/12.5

x >= 8.8

Therefore, he will need at least 9 visit.

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Liam has a points card for a movie theater.

He receives 50 rewards points just for signing up.

He earns 12.5 points for each visit to the movie theater.

He needs at least 160 points for a free movie ticket.

Write and solve an inequality which can be used to determine xx, the number of visits Liam can make to earn his first free movie ticket.