Charlotte is working two summer jobs, making $21 per hour tutoring and $14 per hour clearing tables. Last week Charlotte worked twice as many hours tutoring as she worked hours clearing tables hours and earned a total of $168. Graphically solve a system of equations in order to determine the number of hours Charlotte worked tutoring last week, x,x, and the number of hours Charlotte worked clearing tables last week, yy.

Answer:

I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together

13 * 13 * 13 = 2,197

Answer:

to find volume

Step-by-step explanation:

I think so it is like this 24.99/0.85 =29.4

Answer:

See below.

Step-by-step explanation:

-3.7x-9.1=9x+9.2

       +9.1      +9.1

-3.7x=9x+18.3

-9x    -9x

-12.7x=18.3

/-12.7   /-12.7

x=-1.44, or -1.4

-hope it helps

Answer:

40 :)

Step-by-step explanation:

Answer:

5/8=0.625

0.625*40=25

Step-by-step explanation: Hope this helps

Answer:

A. Find the 100th term when the first term is -3 and the common difference is 4.

Step-by-step explanation:

Recursive formula for an arithmetic sequence for the nth element a(n) is
a(n) = a(n-1) + d

Thus using the recursive formula would involve computing a(n-1) which would require calculating a(n-2) and so on.

For large n such as n = 100 in case of option A this is not practical.

For smaller n's it is OK to use recursive formula

Use the explicit formula instead

a(n) = a(1) + d(n-1)

We choose the recursive formula if we want to find the next number in a sequence. We choose the explicit formula if we want to find any number in a sequence.

So, the answer would be A because it would take a long time to find the 100th term

Answer:

(8-5)/(7-2)= 3/5

Step-by-step explanation:

proper fraction

a. The point estimate for the mean fuel tank capacity for all new automobile models is the sample mean. Given that the sum of the fuel tank capacities is ∑xi = 360.4 gallons and there are 20 data points.

The point estimate can be calculated as follows:

Point Estimate = (∑xi) / n = 360.4 / 20 = 18.02 gallons

Therefore, the point estimate for the mean fuel tank capacity is 18.02 gallons.

b. To determine the 95.44% confidence interval for the mean fuel tank capacity, we can use the formula:

Confidence Interval = (sample mean) ± (critical value) * (standard deviation / sqrt(n))

Since the population standard deviation is given as σ = 3.60 gallons and the sample size is n = 20, we can calculate the confidence interval as follows:

Confidence Interval = 18.02 ± (Z * (3.60 / sqrt(20)))

To find the critical value (Z) corresponding to a 95.44% confidence level, we can use a Z-table or statistical software. Let's assume the critical value is Z = 1.96 (for a two-tailed test).

Confidence Interval = 18.02 ± (1.96 * (3.60 / sqrt(20)))

Calculating the values:

Confidence Interval = 18.02 ± 1.626

The 95.44% confidence interval for the mean fuel tank capacity of all new automobile models is approximately from 16.394 gallons to 19.646 gallons.

To know more about capacity click here: brainly.com/question/30630425

#SPJ11

Answer:

Notebook $1.25

Binder $3.20

Step-by-step explanation:

5n + 6b = 25.45

4n + 8b = 30.6

Multiply the first equation by -4.

Multiply the second equation by 5.

Add the equations.

-20n - 24b = -101.8

20n + 40b = 153

16b = 51.2

b = 3.2

5n + 6(3.2) = 25.45

5n + 19.2 = 25.45

5n = 6.25

n = 1.25

Answer:

Notebook $1.25

Binder $3.20

The time traveler explained that time travel was possible by utilizing a time machine that allowed him to manipulate the fabric of space-time.

"The Time Machine" by H.G. Wells, the Time Traveler explains that time travel is possible by using a device he invented called the Time Machine. He describes the concept of the fourth dimension, suggesting that time is like a spatial dimension that can be traversed.
The Time Traveller's experimental verification involves him actually using the Time Machine to travel into the future. He shares his experiences of traveling to the year 802,701 AD, where he encounters two different species: the Eloi and the Morlocks. He provides vivid descriptions of the future society and the physical changes that have occurred over time.
By sharing his personal experiences and observations from his journey, the Time Traveller provides experimental evidence for the possibility of time travel.

To know more about observations visit:

https://brainly.com/question/9679245
#SPJ11

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

Learn more about yearly deposits

brainly.com/question/31681833

#SPJ11

Answer:

depends on how many miles you can go on 1 mile.

Answer:

you can go around 840-1680

Step-by-step explanation:

1 gallon = 30-60 miles

28x30=840 miles

28x60=1680 miles

Your welcome

Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer:

x=7

Step-by-step explanation:

Ok so first off, the x variable being in absolute value form will not change the outcome of the problem at all since there are no other x variables in the equation.

x-2=5

(add 2 on both sides)

x=7

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

Learn more about diameter

https://brainly.com/question/28162977

#SPJ4

The mean number of visitors to the museum is much greater than the median number of visitors.

What is median?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simples to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the center of a sequence to determine its value.

Option (a) is unquestionably incorrect since the probability that there will be 450 to 500 investors is extremely low (0.05), and investors are not, in fact, the visitors with the highest possibility of visiting the museum.

We will take the midpoint value of the class intervals as the given distribution is expressed as class intervals in order to simplify the data in this distribution.

Mean = 306

Since the mean(306) is coming out to be greater than the median (300)

Therefore the correct option is,

(C) the mean number of visitors to the museum is much greater than the median number of visitors.

Hence the mean number of visitors to the museum is much greater than the median number of visitors.

Learn more about median, by the following link

https://brainly.com/question/14532771

#SPJ4

The observed improvements in brain functioning of clients and doctors may attribute to medications, but, in fact, these brain changes may be the result of placebo effects.

The placebo effect is a therapeutic outcome that occurs when a person believes they are receiving a useful medication or therapy, but in reality, they are getting a dummy treatment or treatment that is ineffective.

Brain function improvements from a placebo can be just as dramatic as those produced by real medications.

The efficacy of any medication is frequently judged on its ability to surpass the placebo effect.

When a person takes medication, the response occurs due to the connection between the body and the brain, which is influenced by many factors, including sensory input, anticipation, and emotional state of the individual.

A positive emotional state can lead to an increase in brain chemical neurotransmitters, leading to an improvement in mood and other beneficial effects.

The placebo effect is typically considered a positive psychological effect, but it can be a negative effect as well.

In conclusion, the placebo effect has a significant impact on how we perceive medication, and it can be challenging to distinguish between the real effects of medication and the psychological effects of placebo.

A physician should also take the placebo effect into account when prescribing medication because it can affect the patient's health and well-being.

For similar question on placebo.

https://brainly.com/question/5069588

#SPJ11

A Greater than 8 , multiplying by a number lesser than 1.    

The expression 8 × 2 13 can be simplified using the order of operations( PEMDAS/ BODMAS).  

the exponentiation 2 13 =  8192.  So, the expression becomes 8 × 8192.  To compare this result to 8, we can calculate the value of the expression.  8 × 8192 =  65536.  thus, the expression 8 × 2 13 is lesser than 8.  The correct response is A Greater than 8 multiplying by a number lesser than 1.

To know more about Greater .

https://brainly.com/question/25433540

#SPJ11

Answer:

it is median

Step-by-step explanation:

because it have number in alphabetic order

The following options are true:

If a and b are invertible nxn matrices, then ab^t is invertible.

If b and c are inverses of a matrix a, then b = c.

If a and b are invertible nxn matrices, then ab^t is invertible.

For a matrix to be invertible, it must have a unique inverse. If a and b are invertible nxn matrices, it means that they have unique inverses. Taking the transpose of b, denoted as b^t, does not affect the invertibility of the matrix. Therefore, the product ab^t is also invertible.

If b and c are inverses of a matrix a, then b = c.

If b and c are inverses of a matrix a, it means that when they are multiplied with a in any order, the result is the identity matrix. The identity matrix is unique, and it is the only matrix that, when multiplied with another matrix, yields the same matrix. Since b and c both serve as inverses for a, they must be the same matrix in order to satisfy the condition for inverses. Therefore, b is equal to c.

In summary, the options that are true are:

If a and b are invertible nxn matrices, then ab^t is invertible.

If b and c are inverses of a matrix a, then b = c

Learn more about  invertible here:

brainly.com/question/31479702

#SPJ11

Since the circle is circumscribed about an equilateral triangle, its center is also the center of the triangle.
So the radius of the circle is $r = 9$ units. The area of the circle is $\pi r^2 = \pi \cdot 9^2 = \boxed{81\pi}$ square units.

To find the area of the circumscribed circle around an equilateral triangle, we can follow these steps:
1. Calculate the height of the equilateral triangle.
2. Find the circumradius (radius of the circumscribed circle).
3. Calculate the area of the circle.
Step 1: Calculate the height of the equilateral triangle:
In an equilateral triangle, the height bisects one of the sides, creating two 30-60-90 right triangles. Let's call the height h.
Using the Pythagorean theorem on the 30-60-90 right triangle, we have:
(9/2)^2 + h^2 = 9^2
(81/4) + h^2 = 81
h^2 = 81 - (81/4)
h^2 = (243/4)
h = √(243/4) = √243/2
Step 2: Find the circumradius (R):
In an equilateral triangle, the circumradius (R) is related to the height (h) and the side length (s) by the formula:
R = (s/2) * (1 / sin(60°))
Since sin(60°) = √3 / 2,
R = (9/2) * (2 / √3) = (9/√3) * (√3/√3) = 3√3
Step 3: Calculate the area of the circle:
The area of the circumscribed circle can be found using the formula:
Area = πR^2
Area = π(3√3)^2
Area = π(27)
So, the area of the circumscribed circle is 27π square units.

Learn more about circumscribed circle here: brainly.com/question/9284343

#SPJ11

Answer: 1/20

Step-by-step explanation:

1/20 liters because 5 times 4/1 (5 divided by 1/4) equals 1/20

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

aₙ = 3n - 5

5th term = a₅ = 3.5 - 5 = 15 - 5 = 10

Answer:

Step-by-step explanation:

aₙ = 3n - 5

Put n = 5:

a₅ = 3 · 5 - 5

a₅ = 15 - 5

a₅ = 10

The difference in height between 30 meters up the cliff and 87 meters up the cliff will be 57 meters.

The distance between the albatross flying at 100 meters above the surface of the ocean and the shark swimming 30m below the surface is 130 meters.

It should be noted that the distance in height between 30 meters up the cliff and 87 meters up the cliff will be:

= 87 - 30

= 57 meters.

The distance between the albatross flying at 100 meters above the surface of the ocean and the shark swimming 30m below the surface will be:

= 100 - (-30)

= 100 + 30

= 130 meters

Learn more about distance on:

brainly.com/question/7243416

#SPJ1

Answer: x=2

Step-by-step explanation:Step 1: Simplify both sides of the equation.

3−(3x−4)=2x+3(3x−7)

3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)

3+−1(3x)+(−1)(−4)=2x+3(3x−7)

3+−3x+4=2x+3(3x−7)

3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)

3+−3x+4=2x+9x+−21

(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)

−3x+7=11x+−21

−3x+7=11x−21

Step 2: Subtract 11x from both sides.

−3x+7−11x=11x−21−11x

−14x+7=−21

Step 3: Subtract 7 from both sides.

−14x+7−7=−21−7

−14x=−28

Step 4: Divide both sides by -14.

−14x

−14

=

−28

−14

x=2

Answer:

361

Step-by-step explanation:

because the last number was not come in any table

Answer:

1128 is not a perfect square.

Step-by-step explanation:

Numbers ending with units digit as 2,3,7 and 8 can never be a perfect square.

Hope this helps you.

Answer: 15.867 min

Step-by-step explanation:

Given

Ben took \(1\ h\ \text{and}\ 23\ min\ 12\ s\) to complete 15 km

While Mike take \(1\ hr\ 39\ min\ 4\ s\) to complete the same

converting time into miniutes

Ben time

\(\Rightarrow 60+23+\frac{12}{60}=83.2\ min\)

Mike time

\(\Rightarrow 60+39+\frac{4}{60}=99.0667\ min\)

So, mike waited for

\(\Rightarrow 99.067-83.2=15.867\ min\)

Answer:

To find the percent increase in enrollment from 2006 to 2007 at West Point School District, we can use the following formula:

percent increase = (new value - old value) / old value * 100%

Substituting the given values, we get:

percent increase = (349 - 320) / 320 * 100%

percent increase = 29 / 320 * 100%

percent increase = 0.090625 * 100%

percent increase = 9.0625%

Therefore, the percent increase in enrollment at West Point School District from 2006 to 2007 is approximately 9.06%.

Answer:

Step-by-step explanation:

To find the percent increase in enrollment from 2006 to 2007 at West Point School District, we can use the following formula:

percent increase = (new value - old value) / old value * 100%

Substituting the given values, we get:

percent increase = (349 - 320) / 320 * 100%

percent increase = 29 / 320 * 100%

percent increase = 0.090625 * 100%

percent increase = 9.0625%

Therefore, the percent increase in enrollment at West Point School District from 2006 to 2007 is approximately 9.06%.