Solve for x algebraically: 7x-3(4x-8)<6x+12-9x

Answer:

7

Step-by-step explanation:

hope you have a great day!

Answer:

6x6=36 so 36+$6 discount, 42

Step-by-step explanation:

42

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer:

23

Step-by-step explanation:

Answer:

A. Independent

B. 50%  

Step-by-step explanation:

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

Read more on function here: brainly.com/question/10687170

#SPJ1

First, we need to convert units. In this case, we can convert feets into inches. Since we know that 1 ft=12 in, then we have

which is equal to

Similarly, for 2 ft we get

Now, we can compare the bacterias in both scenarios. By applying the rule of three, we have

then, x is equal to

that is, in an area of (18)(24)in^2 , there are 195,264 bacterias. By rounding to the highest place value, the answer is 200,000 bacterias.

Answer:

a. geometric series

b. r_n = 100 × (0.75)^n ft

c. 400

Step-by-step explanation:

a.

Start: 100 ft

After 1 hour: 75% of 100ft = 100 ft × 0.75

After 2 hours: 75% of 100ft × 0.75 = 100 ft × 0.75²

After 3 hours: 75% of 100 ft × 0.75² = 100 ft × 0.75³

Notice what is happening to the radius as the hours pass.

With each passing hour, the radius is 0.75 times the previous radius.

Since each new term is the previous term multiplied by a constant, 0.75, this is a geometric series.

b.

At each hour, multiply 100 ft by 0.75 raised to the number of the hour.

a_n = 100 × (0.75)^n ft

The nth term is 100 times 0.75 to the nth power.

c.

The sum of all the radii is the sum of a series that has 100 as its first term, and each subsequent term is 0.75 times the previous term.

r_n = 100(0.75)^n

Since the constant ratio has an absolute value less than 1, the series has a sum.

S = a_1/(1 - r)

S = sum of infinite series

a_1 = first term

r = constant ratio

S = 100/(1 - 0.75)

S = 100/0.25

S = 400

Answer:

2.6

Step-by-step explanation:

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The answer is \(\sqrt{58} = 7.62\)

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).

Use the Pythagorean theorem:

\(c^2 = a^2 + b^2\)

\(a = 3\)

\(b = 7\)

\(c^2 = 3^2 + 7^2\)

\(c^2 = 9 + 49\)

\(c^2 = 58\)

\(c = \sqrt{58}\)

\(c = 7.62\)

Answer:

Options (1), (2), (3) and (7)

Step-by-step explanation:

Given expression is \(\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}\).

Now we will solve this expression with the help of law of exponents.

\(\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}=\frac{\sqrt[3]{(2^3)^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}\)

           \(=\frac{\sqrt[3]{2\times 3} }{3\times2^{\frac{1}{9}}}\)

           \(=\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3\times 2^{\frac{1}{9}}}\)

           \(=2^{\frac{1}{3}}\times 3^{\frac{1}{3}}\times 2^{-\frac{1}{9}}\times 3^{-1}\)

           \(=2^{\frac{1}{3}-\frac{1}{9}}\times 3^{\frac{1}{3}-1}\)

           \(=2^{\frac{3-1}{9}}\times 3^{\frac{1-3}{3}}\)

           \(=2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }\) [Option 2]

\(2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2\) [Option 1]

\(2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2\)

                \(=(2^2)^{\frac{1}{9}}\times (3^2)^{-\frac{1}{3} }\)

                \(=\sqrt[9]{4}\times \sqrt[3]{\frac{1}{9} }\) [Option 3]

\(2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(2^2)^{\frac{1}{9}}\times (3^{-2})^{\frac{1}{3} }\)

               \(=\sqrt[9]{2^2}\times \sqrt[3]{3^{-2}}\) [Option 7]

Therefore, Options (1), (2), (3) and (7) are the correct options.

The requried ball reached a maximum height of approximately 62 feet

Let the ball is thrown vertically upward, we can use the following formula to find the maximum height it reaches:

\(h(t) = -16t^2 + vt + h_0\)

here, h(t) is the height of the ball at time t, v is the initial velocity of the ball (in feet per second), and h0 is the initial height of the ball (in feet). We can also use the fact that the ball remains in the air for 3.8 seconds, which means that the time it takes to reach the maximum height is half of that or 1.9 seconds.

At the highest point, the ball's velocity is zero, so we can find the initial velocity by setting v = 0 in the above formula and solving for h₀:

h₀ = h(t) + 16t²

   = 4 + 16(1.9)²

   ≈ 4 + 57.76

   ≈ 61.76

Therefore, the ball reached a maximum height of approximately 62 feet

Learn more about the law of motion here:

https://brainly.com/question/29775827

#SPJ1

Answer:

last one

Step-by-step explanation:

Answer:

approx 26%

Step-by-step explanation:

you try find the multiplier

200000 * 1. ???? ^3= 400000

rearrange equation

\(\sqrt[3]{\frac{400000}{200000} }\)       =   multiplier

1.25992105

subract one

0.25992105

multiply by 100 to get percentage

25.9%

rounded to whole number = 26%

Answer:

Step-by-step explanation:

x - 22 = 8

Lets find variable x.

To isolate the variable, we need to add 22 to both sides.

x = 30

Answer:

7.5 is the difference

Step-by-step explanation:

basketball mean

(13+22+23+24+36+37+42+43+58+69) ÷10 = 36.7

tennis mean

(14+23+24+38+47+48+57+58+66+67) ÷10 = 44.2

tennis mean - basketball mean

44.2 - 36.7= 7.5

Complete Question:

A total of 442 tickets were sold for the school play. They were either adult tickets or student tickets. There were 58 fewer

There were 58 fewer student tickets sold than adult tickets.  How many adult tickets were sold?

Answer:

250 adults tickets

Step-by-step explanation:

Given

Represent Adult with A and Children with C

\(Total = 442\)

\(A = C + 58\)

Required

Find A

Since the ticket were either bought by A or C; then

\(A + C = Total\)

This gives:

\(A + C = 442\)

Substitute C + 58 for A

\(C + 58 + C = 442\)

Collect Like Terms

\(C + C = 442 - 58\)

\(2C = 384\)

Divide through by 2

\(C = 192\)

Recall that:

\(A = C + 58\)

\(A = 192 + 58\)

\(A = 250\)

Hence, 250 adults bought the ticket

Respuesta: 1/4+2/8 = 2/8+2/8

Explicación paso a paso: 1/4 es equivalente a 2/8

Answer: 138

Step-by-step explanation:

\(\angle KLJ \cong \angle MDF\) by the corresponding angles theorem.

These terms are related to the properties and characteristics of a function, which is a mathematical rule that relates each input value to a unique output value.

What are the properties of function?

Here is a brief explanation of each term:

To know more about function, visit:

https://brainly.com/question/30721594

#SPJ1

Answer:

6x2+4x-2=0(changing the sign )

Step-by-step explanation:

x=-4+-\(\sqrt\)16+48/12

=-4+-8/12

-4+8/12,-4-8/12

1/3.-1

The length the line segment DF is 21 units

What is Similarity of Triangles?

Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.

Since, the question is incomplete I can only assume that the traingles are similar

So, by rule of similarity we can say that ED/BA = DF/AC

by this 15/5 = DF/7

This implies that the length of DF is 21 units

To learn more about Similarity of Triangle from the given link

https://brainly.com/question/1058720

#SPJ1

Answer:

The median, mean, and mode of the data set are 5, 4.8, and both 4 and 5 respectively.

Step-by-step explanation:

To find the median of a data set, line up all values from greatest to least and find the number in the center. For example, in the set 1; 2; and 3, 2 would be the median. In this case, the order would be 2, 4, 4, 4, 5, 5, 5, 6, 6, 7. The two numbers in the middle are 5 and 5, their average is 5, so that would be the median. The mean of a data set is the average of all data values in a set. In this case, there are 10 data values, and their total sum is 48, so the mean of this data set is 4.8. The mode of a data set is the value that occurs the most in a set. In this case, 2 occurs once, 4 occurs three times, 5 occurs three times, 6 occurs twice, and 7 occurs once, so the mode of this data set is both 4 and 5.

Answer:

$242.82

Step-by-step explanation:

Answer:

Amadi: 20 years old

Chima : 4 years old

We have the following expression given:

We can start simplifying the parenthesis and we got:

And we can distribute the signs :

Now we can aggrupate:

And if we simplify we got:

In light of the query we've got Here's a circle whose center is at and whose radius is 15 units (0,0) The x-coordinate becomes 9 or -9 whereas if Y coordinate is 12.

The distance between a circle's center and circumference is known as the radius. Always, the diameter is twice the radius. As a result, the ratio is created by multiplying the diameter by two.

According to the formula we get

\(x^2\) + \((y - 0)^2\) = \(15^2\)

Substituting the given values:

\(x^2\)+ \((12 - 0)^2 = 15^2\)

\(x^2\) + 144 = 225

\(x^2\)= 81

x = ±9

Therefore the x-coordinate will be 9 or -9.

To know more about Radius visit :

https://brainly.com/question/14618066

#SPJ1

The function of the sequence is T(n) = n² + n and it is quadratic

The domain of the graph is [0, 18]

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

Step          Cells

1                 2

2                6

3                12

From the table, we have

T(n) = n * (n + 1)

This gives

T(n) = n² + n

Hence, the function is T(n) = n² + n

The sequence T(n) = n² + n is a quadratic sequence

This is the set of the x values

From the graph, we have

x = 0 to 18

So, we have

Domain = [0, 18]

Read more about sequence at

https://brainly.com/question/6561461

#SPJ1

Answer:

a) 4.55% probability that both adults dine out more than once per week.

b) 61.80% probability that neither adult dines out more than once per week.

c) 38.20% probability that at least one of the two adults dines out more than once per week.

d) An event is considered unusual if it has a less than 5% probability of happening. Following this rule, in this problem, both adults dining out more than once per week can be considered unusual.

Step-by-step explanation:

The adults are selected without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

800 adults, so \(N = 800\)

171 dine out at a resaurant more than once per week, so \(k = 171\)

2 are chosen, so \(n = 2\)

a. Find the probability that both adults dine out more than once per week.

This is P(X = 2).

\(P(X = 2) = h(2,800,2,171) = \frac{C_{171,2}*C_{629,0}}{C_{800,2}} = 0.0455\)

4.55% probability that both adults dine out more than once per week.

b. Find the probability that neither adult dines out more than once per week.

This is P(X = 0).

\(P(X = 0) = h(0,800,2,171) = \frac{C_{171,0}*C_{629,2}}{C_{800,2}} = 0.6180\)

61.80% probability that neither adult dines out more than once per week.

c. Find the probability that at least one of the two adults dines out more than once per week.

Either none dines out more than once per week, or at least one does. The sum of the probabilities of these events is 100%. So

p + 61.80 = 100

p = 38.20

38.20% probability that at least one of the two adults dines out more than once per week.

d. Which of the events can be considered unusual? Explain.

An event is considered unusual if it has a less than 5% probability of happening. Following this rule, in this problem, both adults dining out more than once per week can be considered unusual.