Please help. Should only have two terms, this means you have to combine like terms and simplify. Take a look at photo.
Answers
You need to find the areas of the two rectangles.
Then, subtract the area of the shed from the area of the yard.
Yard: length = 13x - 4; width = 5x
Shed: length = 2x + 4; width = 2x
Area of yard:
A = LW = (13x - 4)(5x) = 65x^2 - 20x
Area of shed:
A = LW = (2x + 4)(2x) = 4x^2 + 8x
Area of lawn = area of yard - area of shed
Area of lawn = (65x^2 - 20x) - (4x^2 + 8x)
= 65x^2 - 20x - 4x^2 - 8x
= 61x^2 - 28x
The area of the lawn is 61x^2 - 28x
Related Questions
The owners of a business must spend less than $140 on supplies. They have already spent $60. Now they want to buy chairs that cost $20 each. Let x represent the number of chairs they can buy. Select True or False for each statement.
They can buy any number of chairs fewer than 4
They can buy any number of chairs fewer than 8
Answers
If owners of a business must spend less than $140 on supplies. They have already spent $60. Now they want to buy chairs that cost $20 each. Let x represent the number of chairs they can buy. Then they can buy any number of chairs fewer than 4.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given,
owners of a business must spend less than $140 on supplies.
They have already spent $60.
They want to buy chairs that cost $20 each.
Let x represent the number of chairs they can buy.
60+20x<140
Now solve for x
20x<140-60
20x<80
Divide both sides by 20
x<80/20
x<4
Hence they can buy any number of chairs fewer than 4
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ3
You have 3/8 of a cake. You divide the remaining cake into six equal pieces. What fraction of the original cake is each piece?
Answers
------ = 1/16 of the original
8(6) cake.
Jacob used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters r needed to fill the aquarium?
Answers
Since 1/7 L of water fills 1/9 of the aquarium, 9 times 1/7 will fill the aquarium:
9(1/7) = 9/7 = 1 2/7 L of water will fill the aquarium.
how many liters will it be to fill up the 9/9 of the aquarium?
[tex]\bf \begin{array}{ccll} \stackrel{liters}{water}&\stackrel{fish}{aquarium}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{7}&\frac{1}{9}\\\\ w&\frac{9}{9} \end{array}\implies \cfrac{\frac{1}{7}}{w}=\cfrac{\frac{1}{9}}{\frac{9}{9}}\implies \cfrac{\frac{1}{7}}{\frac{w}{1}}=\cfrac{\frac{1}{9}}{\frac{9}{9}}\implies \cfrac{1}{7}\cdot \cfrac{1}{w}=\cfrac{1}{9}\cdot \cfrac{9}{9} \\\\\\ \cfrac{1}{7w}=\cfrac{1}{9}\implies 9=7w\implies \cfrac{9}{7}=w[/tex]
is 1 1/3 a unit rate
Answers
pls help i have a math question and I can`t figure out the answer
Answers
The student's questions relate to high school-level mathematics, such as using a graphing calculator for probability distribution calculations, the practice of mental arithmetic, and understanding significant figures and rounding. Some problems also touch on algebraic thinking and the application of mathematics in real-world contexts.
Explanation:The student is asking several questions that pertain to solving mathematical problems and making calculations, which fall within the subject of Mathematics. It's apparent that the questions involve using a graphing calculator, understanding probability distributions, mental arithmetic, and solving equations. This level of mathematics typically corresponds to High School curriculum.
For instance, the student mentions using a graphing calculator to find a probability with a binomial distribution (binompdf), which indicates a familiarity with statistical functions and probability theory. The second part of the series includes an arithmetic puzzle meant to encourage mental math skills by breaking down a problem into more manageable parts. Another problem gives insight into significant figures and decimal places, suggesting the topic of precision and rounding in measurements or calculated results.
Additional parts of the problems focus on making estimates and using ratios for time calculations, implying topics potentially from an algebra or pre-calculus course, with a touch on the real-world application of mathematics and the flexibility and multiple methods within the mathematical process.
You have a photo that measures 1 in. wide by 3 in. tall. If you want to enlarge the photo so that the height is 18 in., what will the width of the photo be?
A. 98 in.
B. 4 in.
C. 6 in.
D. 108 in.
Answers
6(1)= 6
The answer is C.
Hope this helps!
The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours. Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 0 10 8 8 7 6.5 4.5 Which of the payment options would you recommend to a new employee? a. Either one. Hourly and salaried employees earn the same amount per week. b. Hourly pay. Hourly employees make more per week than salaried employees. c. Salaried pay. Salaried employees make more per week than hourly employees. d. There is not enough information given to compare weekly earnings.
Answers
Answer:
C should be the correct option
Step-by-step explanation:
Tell me if im wrong :)
Your football team gained 4 yards on first down and 2 yards on second down during its last possession. Which number is the additive inverse of the yards gained?
A) −2
B) −6
C) 4
D) 6
Answers
the additive inverse is the number when added to ur number (-6) equals 0. So the additive inverse is basically the opposite number....another words, it is the same number, with the opposite sign.
so the additive inverse of 6 is -6 <==
Answer:
-6
Step-by-step explanation:
Because if you add up all of the events you'll get 6 . Then, after that it asks for the additive inverse so you put an negative sign behind the #6.Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 2 hr 32 min. Amanda comes in second with a time of 3 hr 33 min. Bryce finishes last with a time of 4 hr 14 min. Find the distance (in mi) for each part of the race.
Answers
A veterinarian estimated the weight of a puppy to be 9kg. The actual weight of the puppy was 9.5kg Find the absolute error and the percent error of the veterinarian's estimate. If necessary, round your answers to the nearest tenth.
Answers
Answer:
That huy is wrong... the answer is negetive! People
Step-by-step explanation:
The absolute error of the veterinarian's estimate is 0.5 kg, and the percent error is approximately 5.3% when rounded to the nearest tenth.
The question given asks us to find the absolute error and the percent error of a veterinarian's estimate of a puppy's weight. To calculate the absolute error, we take the actual weight of the puppy (9.5 kg) and subtract the veterinarian's estimate (9 kg), which gives us an absolute error of 0.5 kg. To find the percent error, we divide the absolute error by the actual weight and multiply by 100, resulting in a percent error of about 5.3% when rounded to the nearest tenth.
Here is the step-by-step breakdown:
Calculate absolute error: Actual weight - Estimated weight = 9.5kg - 9kg = 0.5kgCalculate percent error: (Absolute error / Actual weight) * 100 = (0.5kg / 9.5kg) * 100 ≈ 5.263%. Round this to the nearest tenth: 5.3%a car travels 150 miles at a certain speed if the speed had been 5 miles faster the trip would have been in one hour less time find the speed
Answers
Write the whole number 10 as an equivalent fraction with 9 as the denominator
Answers
you can get this answer by multiplying 9 and 10 for the numerator. You can verify that this is correct by dividing 90 by 9 and you will get 10
Find the least common multiple (LCM) of 54 and 72. A) 9 B) 27 C) 108 D) 216
Answers
54, 108, 162, 216...
72, 144, 216...
Answer: D) 216
We are conducting a test of the hypotheses h0: p = 0.2 ha: p ≠ 0.2 we find a test statistic of z = -1.11. what is the corresponding p-value? give your answer as a proportion between 0 and 1 to 4 decimal places.
Answers
Vail Ski Shop received a $1,201 invoice dated July 8 with 2/10, 1/15, n/60 terms. On July 22, Vail sent a $485 partial payment. (If more than one discount, assume date of last discount)
a. What credit should Vail receive?
b. What is Vail’s outstanding balance?
Answers
100%-1%=99%=0.99
485/0.99=489.9
489.9 is the amount of payment to be credited
B)
1,201−489.9=711.1 is the balance outstanding
Vail Ski Shop won't receive any credit because the payment did exceed the discount period. Vail's outstanding balance is $716, calculated by subtracting the partial payment from the original invoice.
Explanation:The $1,201 invoice dated July 8 with 2/10, 1/15, n/60 terms means that Vail Ski Shop receives a discount if paid within certain time periods, specifically a 2% discount if paid within 10 days, a 1% discount if paid within 15 days, and full payment is required within 60 days. However, since Vail made a partial payment of $485 on July 22, the days had already exceeded both the 10 and 15-day discount periods. This implies that Vail should not receive any credit.
To calculate Vail's outstanding balance, we would subtract the amount Vail has paid partially from the original invoice. So, the calculation would be $1,201 - $485 which equals $716. Therefore, Vail's outstanding balance would be $716.
Learn more about Payment Terms and Balance Calculation here:https://brainly.com/question/34521992
#SPJ2
Determine the domain of the function f(x)=1/3x^2+10x+8
Answers
f(x) = (1/3)x² + 10x + 8
Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67
This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).
Answer: The domain is (-∞, ∞)
Discuss the differences between parametric and non-parametric tests?
Answers
Jade spent 37.60 on groceries. 4/5 of that total was spent on vegetables. How much was spent on other items
Answers
37.6=4/5(37.6)+x
(1/5)(37.6)=x
x=37.6/5
a box of cereal contains 23.4 ounces. It cost $5.49. What is the cost,to the nearest cent, of the cereal per ounce.
Answers
This equals $0.23
The answer is $0.23
Jim Abbott purchased a $58,000 recreational vehicle (RV) with a 45 percent markup on selling price. a. What was the amount of the dealer’s markup? Markup amount $ b. What was the dealer’s original cost? Original cost $
Answers
The dealer's markup amount is $26,100 and the original cost of the RV is $31,900.
Explanation:To determine the dealer's markup, we need to find 45% of the selling price of the RV. We can set up the following equation:
Markup amount = Selling price × Markup percentage
Let's plug in the given values: $58,000 × 45% = $26,100
The dealer's original cost can be found by subtracting the markup amount from the selling price:
Original cost = Selling price - Markup amount
Let's calculate it: $58,000 - $26,100 = $31,900
The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes. how long do the longest 10% of calls last?
Answers
To solve this problem, we use the formula:
z = (x – u) / s
where z is the z score value which can be obtained from the tables, x is the sample value, u is the mean = 6.3 min, and s is the std dev = 2.2 min
at P value = 0.90, the z = 1.28, finding for x:
x = z s + u
x = 1.28 * 2.2 + 6.3
x = 9.116
at P value = 1.0, the z = 3.49, finding for x:
x = z s + u
x = 3.49 * 2.2 + 6.3
x = 13.978 ~ 14
Therefore the longest 10% calls last about 9.1 minutes to 14 minutes
solve the equation for x.
ax+bx=c
Answers
abx = c
abx/ab = c/ab
x = c/ab
Answer: x = c/a + b
Step-by-step explanation: I have put the variable x in purple in the image that I have made so you can see it better.
Notice that the variable we are solving for in
this problem appears in 2 separate terms.
In this situation, we must factor the x out
of both terms to get x(a + b) = c.
Think about it as the reverse of the distributive property.
In other words, if we take our second step and distribute the x
through the parentheses, we end up back at our first step.
The beauty of factoring is that the two x's in this problem
have now been combined into one x and we can get x
by itself by dividing both sides by a + b.
This gives us x = c/a + b.
Solve for Z. Z−4/9−1/3=5/9 Enter your answer in the box. Z=
NEED HELP FAST WILL GIVE BRAINLIEST 15 POINTS
Answers
z -4/9 + 4/9 - 1/3 = 5/9 + 4/9 = 1
z - 1/3 + 1/3 = 1 + 1/3
z= 1 1/3
Answer:
The answer correct answer is, 4/3
Step-by-step explanation:
I am reveiwing this quiz right now!
A box without a lid is constructed from a 26 inch by 26 inch piece of cardboard by cutting x x in. squares from each corner and folding up the sides. a) Determine the volume of the box as a function of the variable x x .
Answers
To graph the inequality t > 5, you would put an open circle on 5 and shade to the right. true or false
Answers
All numbers greater than 5 are to the right of 5, so you shade to the right of 5.
The statement is true.
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. the probability of a player weighing more than 241.25 pounds is
Answers
To find the probability of a football player weighing more than 241.25 pounds, calculate the z-score and use the standard normal distribution table.
Explanation:To find the probability of a football player weighing more than 241.25 pounds, we need to calculate the z-score and then use the standard normal distribution table.
The formula for calculating the z-score is: z = (x - μ) / σ where x is the player's weight, μ is the mean weight, and σ is the standard deviation.
Plugging in the values, we get: z = (241.25 - 200) / 25 = 1.65
Using the standard normal distribution table, we can find that the probability of a value being greater than 1.65 is approximately 0.0495.
Ciprofloxacin (Cipro) oral suspension is available as a 250mg/5mL concentration. The physician orders a dose of 150mg. How many milliliters of suspension will have to be given for each dose?
Answers
a number is less than 200 and greater than 100 the ones digit is 5 less than 10.the tens digit is 2 more than the ones digit.what is the number
Answers
5 less than 10 is 5.
2 more than 5 is 7
My guess is 157
The correct number is between 100 and 200 would be 175.
Used the concept of number system which states that,
A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.
Given that,
A number is less than 200 and greater than 100.
Here, the one's digit is 5 less than 10, and the tens digit is 2 more than the one digit.
Since the one's digit is 5 less than 10.
So, the number in one's place is,
10 - 5 = 5
And, the tens digit is 2 more than the one digit.
5 + 2 = 7
Since the number is between 100 and 200.
So, the possible value of a number with the value in one's place 5 and the value in tens place 7 would be,
175
Clearly, the number 175 is between 100 and 200.
To learn more about the Number system visit:
https://brainly.com/question/17200227
#SPJ6
what 87,628 divided by 931
Answers
Do you want me to be more into detail
Hope it helped!
In calculating one variable statistics you find the standard deviation to be equal to zero
Answers
A standard deviation of zero in a data set signifies that all data points are identical, with no variation among them.
When calculating one variable statistics, if you find that the standard deviation is equal to zero, it means that all of the data points in the set have the same value. There is no spread or variability within the data, as standard deviation measures how much each number in a set differs from the mean of the data set. Since all numbers are the same, they all equal the mean, resulting in zero deviation.