The problem is a simple algebraic equation in the form 7x - 11 = 6x + 5. By rearranging and simplifying, we find the solution is x = 16.
Explanation:The question presents a mathematical statement that needs to be solved for the variable. Translating the words into an equation, we get: 7x - 11 = 6x + 5. This equation is saying seven times a number (we'll call it 'x') reduced by eleven is equal to six times that number increased by five.
To solve for 'x', first, rearrange the equation to get all 'x' terms on one side and constants on the other. By subtracting 6x from both sides, we get x - 11 = 5. Then, add 11 to both sides to isolate 'x': x = 16.
So, the number or 'x' that satisfies this equation is 16.
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x = 16.
To solve this, let the unknown number be represented by x.
We can set up the equation based on the given information:
7x - 11 = 6x + 5
Subtract 6x from both sides of the equation:
7x - 6x - 11 = 6x - 6x + 5
Simplify the equation:
x - 11 = 5
Add 11 to both sides:
x - 11 + 11 = 5 + 11
Simplify the equation:
x = 16
Thus, the number is 16.
If a student scores a 17/35 on a test, what is their percentage on it?
In isosceles ∆ABC the segment BD (with D ∈ AC) is the median to the baseAC. Find BD, if the perimeter of ∆ABC is 50m, and the perimeter of ∆ABD is 40m.
Which function below is the inverse of f(x) = the quantity of two x plus three, over five.?f−1(x) = the quantity of five x plus three, over twof−1(x) = the quantity of five x minus three, over twof−1(x) = five over the quantity of two x plus threef−1(x) = five over the quantity of three minus two x?
Answer:
[tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]
f⁻¹(x) = the quantity of five x minus three, over two
C is correct
Step-by-step explanation:
Given: [tex]f(x)=\dfrac{2x+3}{5}[/tex]
We need to find inverse of function f(x)
Step 1: Set f(x)=y
[tex]y=\dfrac{2x+3}{5}[/tex]
Step 2: Switch x and y
[tex]x=\dfrac{2y+3}{5}[/tex]
Step 3: Solve for y (isolate y)
[tex]5x=2y+3[/tex]
[tex]2y=5x-3[/tex]
[tex]y=\dfrac{5x-3}{2}[/tex]
Therefore, [tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]
Now we write as sentence form,
Inverse of f(x) is 5 times of x minus 3 over 2.
Hence, f⁻¹(x) = the quantity of five x minus three, over two
How many people lost their jobs when minimum wage increased from $12 to $18?
Answer:
15 people lost their jobs when minimum wage increased from $12 to $18
Step-by-step explanation:
When the minimum wage is $12
Then by looking at the given graph :
Number of labors supplied = 33
Number of labors in demand = 33
So, it is an equilibrium wage for the system.
Now, when the minimum wage increased from $12 to $18
From the given graph :
Number of labors supplied = 45
Number of labors in demand = 18
⇒ Number of labors working when wage is $12 = 33
And when the wage is $18, no. of labors working or are in demand = 18
⇒ Number of workers who lost their job = 33 - 18 = 15
Hence, 15 people lost their jobs when minimum wage increased from $12 to $18
How long is the arc subtended by an angle of 9π/5 radians on a circle of radius 30 cm?
A) 9π
B) 27π
C) 54π
D) 108π
Answer:
54π
Step-by-step explanation:
54π is correct. (9π/5)(30)= 54π
The required length of an arc is 54π cm which is subtended by an angle.
What is an arc?The arc is a portion of the circumference of a circle.
To find the arc length, we first need to find the circumference of the circle. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Plugging in the values given in the problem, we find that the circumference of the circle is C = 2π(30 cm) = 60π cm.
Then, to find the arc length, we need to find the fraction of the circumference subtended by the angle of 9π/5 radians.
The circumference of the circle is 2π radians, so the fraction of the circumference subtended by the angle of 9π/5 radians is (9π/5)/(2π) = 9/10.
Multiplying the fraction of the circumference subtended by the angle by the circumference of the circle, we find that the arc length is (9/10)(60π cm) = 54π cm.
Therefore, the correct answer is (C) 54π cm.
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Suppose you're given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula?
A. R=3 (s+t)
B. R=5s
C. R=5t
D.R=3(s+2r)
Answer:the answer is C
Step-by-step explanation:
A 6 pound bag of grass seed covers 2,000 square feet. How many pounds would be needed to cover 25,000 square feet? Round the answer to the nearest pound.
HELPS ASAP PLEASE!!!!
Find the product of -9 and -3.
A. 27
B. -27
C. 3
D. -3
The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?
The Smith family drove 1580 miles during their seven-day vacation in the rented recreational vehicle, calculated by subtracting the flat rental fee from the total cost, and then dividing by the cost per mile.
Explanation:This question centers on simple algebra. To calculate the number of miles driven, you need to first understand that the total cost consists of a flat rental fee and the cost per mile driven. First, we take the total cost, $1350, and subtract the flat fee of $560 from it. This leaves us with $790.
We then divide that $790 by the price per mile, which is $0.50. The calculation would then be as follows: $790 ÷ $0.50 = 1580 miles. Therefore, the Smith family drove 1580 miles during their seven-day vacation in the recreational vehicle.
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Lannie order 12 copies of the same book for his book club members to build cost $19 each and the order has a $15 shipping charge what is the total cost of lannie's order
A shop advertised a 27% off sale. If a coat originally sold for 253 , find the decrease in price and the sale price
Write an algebraic expression for the phrase. 8 times the quantity d minus 3 8d – 3 8(d – 3) d(8 – 3)
What is 12.1167 rounded to the nearest hundredth?
PLEASE HELP ME!!! WORTH 10 POINTS!!!
Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (1, 2). Use the box provided or the upload option to submit all of your calculations and final answer.
Find the real roots of the equation x^4-5x^2-36=0
What is 4.14 trillion in scientific notation?
The given data can be written in scientific notation as 4.14 × 10¹².
How to write a number in scientific notation?In order to write a number in scientific notation, express the number in terms of the product of a number between 0 to 10 and the power of 10.
For example, 32 can be written as 3.2 × 10¹.
Here, 3.2 is between 0 and 10 and the power of 10 is 1
The given data is 4.14 trillion.
Since, one trillion can be written as,
1 trillion = 1,000,000,000,000
The number of zeros is 12.
In the scientific notation 4.14 trillion can be written as below,
4.14 × 10¹²
Hence, the scientific notation of the given data is 4.14 × 10¹².
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what are the zeros of f(x)=x^2+7x+5
The typical flight of stairs has 12 steps. Billy is on a new fitness regimen that requires him to climb at least 300 steps each day. His fitness tracker says he has already climbed 175 steps.
Let n represent the number of flights of stairs Billy has yet to climb.
Create the inequality that symbolizes this situation.
Then answer this.
If Billy climbs 10 more flights of stairs, will he meet his required 300 steps?
Which of the following is the quadratic parent function
Answer:
A. F(x)=x^2
Step-by-step explanation:
Answer: Option A F(x)=[tex]x^{2}[/tex]
Explanation:
Quadratic function is the function which has degree two
Degree is the highest power of a polynomial
In option B we have |x| in which degree is one hence, discarded
In option C we have [tex]x^{3}[/tex] in which degree is three hence, discarded
In option D we have x which is a linear function being of degree one. Hence, discarded.
how do you solve this 2 step equation: 9+9n=9
Which one f the following would appear in the credits column of a bank statement for a checking account?
A. Bank fees
B. An ATM withdrawal
C. An online bill payment
D. A direct deposit
The direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.
What is direct deposit?A direct deposit by a payer into a payee's bank account is referred to as a direct deposit. Businesses most usually use direct deposits to pay salaries and wages, and they are typically made through electronic funds transfers or physical deposits into a payee's bank account.
From the definition, the direct deposit is the amount which is deposited by the individual bank accounts.
A direct deposit would appear in the credit's column of a bank statement for a checking account.
Thus, the direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.
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Answer: A direct deposit
Step-by-step explanation:
A supplier offers a discount on a product bought in bulk. If you buy 240 parts, you get a $5 discount on each part, which reduces the cost to the same as buying 200 parts at full price. How much is each part?
How many 3-digit numbers can you write using only the digits 1 and 2?
Megan is starting a business selling cookies. She researched other businesses to determine the price that people are willing to pay for a dozen cookies her results can be represented by the equation n=-2p+16 where P is the price per dozen cookies and N is the number of dozens sold where does the graph of the equation cross the x-axis?
If a bag contains 16 red,6 yellow, 24 blue, and 8 white ballons, what is the part-to-whole ratio of yellow ballons to all ballons
The equation of line p is y = 52x + 72. line q is parallel to line p. the slope of line q is?
PLEASE HELP ME ASAP!!!
1. The average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents. What is the z-score of glass cleaner with a cost of 10.1 cents per ounce?
A. 0.96
B. 1.31
C. 1.94
D. 4.04
E. none of the above
2. A candy bar takes an average of 3.4 hours to move through an assembly line. If the standard deviation is 0.5 hours, what is the probability that the candy bar will take between 3 and 4 hours to move through the line?
A. .2119
B. .2295
C. .6731
D. .3270
E. .8849
3. The average noise level in a diner is 30 decibels with a standard deviation of decibels. 99% of the time, the noise level is below what value?
A. 16.04
B. 30.00
C. 36.00
D. 43.96
E. 48.00
4. The mean income per household in a certain state is $29,500 with a standard deviation of $5,750. The middle 95% of incomes is between what two values? The incomes are normally distributed.
A. $23, 750 and $35,250
B. $18,000 and $41,000
C. $29,500 and $41,000
D. $12,250 and $46,750
E. $12,325 and $81,550
Final answer:
The student's questions involve calculating z-scores and applying knowledge of normal distributions to determine probabilities and percentile ranges within a set of data. Correct answers include finding the z-score for glass cleaner costs, determining the probability of assembly line time for a candy bar, identifying the noise level not exceeded 99% of the time in a diner, and calculating the income range for the middle 95% in a state.
Explanation:
To solve these problems related to standard normal distribution and probabilities, we'll follow a step-by-step process. For each question, you'll either need to calculate a z-score or apply knowledge of normal distributions.
The z-score for a glass cleaner costing 10.1 cents per ounce when the mean cost is 7.7 cents and the standard deviation is 2.5 cents is calculated as: z = (10.1 - 7.7) / 2.5 = 0.96. The correct answer is A.The probability of a candy bar taking between 3 and 4 hours through the assembly line involves finding the area under the normal curve between these two z-scores: z for 3 hours and z for 4 hours. Use z-tables or calculators to find P(3 < X < 4) = P(Z < (4 - 3.4) / 0.5) - P(Z < (3 - 3.4) / 0.5) which gives us C. 0.6731.To find the noise level that is not exceeded 99% of the time, use the z-score that corresponds to 99% in the standard normal distribution and multiply by the standard deviation and add to the mean. This gives us 43.96 decibels, with D being the correct answer.The middle 95% of normally distributed incomes is found using z-scores that correspond to the 2.5th percentile and 97.5th percentile because 95% is in between. The correct answer is A. $18,000 and $41,000.I really need help doing this spelling plz answer really Quick
A. Matching Definitions:
1 small whirls - eddies
2. snake teeth - fangs
3. rattlesnakes - rattles
4. defeats; failures - losses
5. freedoms - liberties
6. skills; talents - abilities
7. bunches or groups - batches
8. eyelid hairs - lashes
9. nations - countries
10. accepted truths - beliefs
How to perform the completing sentences11. The cook put potatoes and carrots in the stew.
12. Are crocodiles and alligators reptiles?
13. Many rodeos have riding and roping events.
14. The travelers were happy in their new surroundings.
15. Our taxes will be used to build new schools.
16. The numeral 100 has two zeroes.
17. He searched the paper for job opportunities.
18. You can use an ax to put notches in a log.
19. The clever criminal had many different identities.
20. Pioneers faced many difficulties in the wilderness.
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The perimeter of triangle ABC is 54. The triangle has side lengths AB=3x, BC=4x, and AC= 5x. Find the length of each side.
The diameter of a circle is 18 centimeters. what is the radius? d=18 cm give the exact answer in simplest form.