Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 1005642: Find the dimensions of a rectangle whose width is 1 inches less than half its length an whose area is 40 square inches.
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Question 1018324: I am a two digit number, one is odd number and the other is even number. The sum of the digit is six, and the digit is divisible by five. What is the digits?
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Question 1024948: one number is equal to the product of -2 and the difference between another number(n) and 5. The sum of the numbers is 16. What is the second number?
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Question 1074424: Find the total amount in an account if 1500 is invested at 12% simple interest for 3.5 years
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Question 1024097: Every week i spend the same amount of money on post stamps. They cost 30cents currently. Next month cost will go down by 5cents. When this happens i will be able to buy 4 more every week. How much do i spend on stamps each week
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Question 1020139: Write and solve an inequality.


To cover a rectangular region of her yard, Penny needs at least 135 square feet of sod. The length of the region is 13.5 feet. What are the possible widths of the region? Let the width be x.
The inequality is ?

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Question 998093: The Revenue "R" in dollars received for selling x electronic components is R(x) = 2x (50-x)
a. Evaluation R(30) and interpret the result
b. What number of components sold would maximize the revenue?
c. What would be the maximum revenue?
And using the information, how many electronic components should be sold for the revenue to be $800 or more?

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Question 997678: My basic salary plus over time salary is altogether $2500. My basic salary is $2000 more than my over time salary. What is my basic salary?
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Question 997676: 6 kilos of oranges cost as much as 5 kilo of apples. 4 kilos of apples cost as much as 3 kilos of bananas. 2 kilos of bananas cost $2.40. What is the price of oranges per kilo?
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Question 997650: one positive number exceeds twice another number by 3 and the product of the two numbers is 44. Find the smaller number.
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Question 1176372: Jake is x years old. Jake's uncle is four times as old as jake will be in five years. Find the present age of Jake's uncle
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Question 996742: The cost to manufacture the newest iPhone can be represented by the expression 100+x15. Find the cost to manufacture 195 iPhones.
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Question 1165636: A drug is administered to a patient, and the concentration of the drug in the blood-stream is monitored. At time t≥1 (in hours since giving the drug), the concentration (in mg/L) is given by the function below. How long does it take for the concentration to drop below 0.3 mg/L
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Question 1095418: During Christmas season the student gov't association was able to solicit 2356 grocery items and was able to distribute 2198 to one barangay. If this group decided to distribute 1201 grocery items to the next baragay, how many more grocery items did they need to solicit?
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Question 994136: the diagonal of a rectangular lot is 6 m. the length of one side of the lot is 1more than the other. find the lengths of the sides of the lot.

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Question 1003793: We are driving diagonally cross country from Portland, OR, to a city Southeast in the USA. We know that the midpoint of our drive can be represented as (x1 + x2)/2 ,(y1 + y2)/2 . If we know that x1 = 500 & y1 = 200, what would be the midpoint if y1 = 300 y2 = 600? (and we require (x1 + y1 ) = (x2+ y2))
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Question 996740: The city of Auburn is hosting a 4th of July parade. The city council purchased enough small American flags to account for ten more than twice the number of residents in the city. Write an expression to represent the total number of flags compared to city residents? Then calculate the number of flags needed if there are 6,254 residents of the city of Auburn.
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Question 1107978: An automobile purchased for $39,000 is worth $25000 after 5 years. Assuming the car's value depreciate steadily from year to year, what was it worth at the end of the third year?
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Question 1107978: An automobile purchased for $39,000 is worth $25000 after 5 years. Assuming the car's value depreciate steadily from year to year, what was it worth at the end of the third year?
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Question 991456: which of the following is the larger of two numbers the product of which 600 and the sum of which is 5 times the difference between the two?
A.10
B.15
C.20
D.30

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Question 989637: Find four consecutive even integers such that sun of twice the first, five times the second, and four times the third divided by three times the fourth equals 3.
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Question 988826: Politics.If 10,355 people voted for a politician in his first election,12,370 voted for him in his second election and 7,302 voted for him in his first and second elections, how many people voted for him in his first or second election?
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Question 988380: A steady 50 N horizontal force is applied to a 10 kg object on a table. The object slides against a friction force of 35 N. Calculate the acceleration of the object in m/s.
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Question 1021684: You have 60 feet of fencing to fence in part of your backyard for your dog. You want to make sure that your dog has 400 square feet of space to run around in. The back of your house will be used as one side of the enclosure.
A. Write equations in terms of l and w for the amount of fencing and the area of the enclosure.

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Question 1030662: Catelyn and Gabriel work at a furniture store. Catelyn is paid $195 per week plus 6.5% of her total sales in dollars, x, which can be represented by g(x)=195+0.065x. Gabriel is paid $943 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x)=943+0.025x. Determine the value of x, in dollars, that will make their weekly pay the same.
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Question 1098062: Solve +cos%282x%29-sin%28x%29=0+ given that 0 ≤ x < 2π
--Not sure what to select for the topic of this question, and I am not sure what the process is to solve it. I would appreciate any pointers, thank you!

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Question 1098062: Solve +cos%282x%29-sin%28x%29=0+ given that 0 ≤ x < 2π
--Not sure what to select for the topic of this question, and I am not sure what the process is to solve it. I would appreciate any pointers, thank you!

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Question 1098062: Solve +cos%282x%29-sin%28x%29=0+ given that 0 ≤ x < 2π
--Not sure what to select for the topic of this question, and I am not sure what the process is to solve it. I would appreciate any pointers, thank you!

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Question 987133: The cost of operating an appliance varies jointly the number of watts drawn, the hours of operation and the cost per kilowatt-hour. At 1.75 per kilowatt-hour, how much would it cost when a 500-watt waffle iron operates for 45 minutes?
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Question 987133: The cost of operating an appliance varies jointly the number of watts drawn, the hours of operation and the cost per kilowatt-hour. At 1.75 per kilowatt-hour, how much would it cost when a 500-watt waffle iron operates for 45 minutes?
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Question 1008176: { 1/5 x + 1/7y = 23/5
1/7x + 1/5x = 13/5

What is x + y

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Question 1176540: The function f(x) = 9/5 𝑥 + 32 converts temperatures from x degrees in Celsius
to y degree in Fahrenheit. The g(x) = 5/9 (𝑥 − 32) converts temperatures from
x degrees in Fahrenheit to y degrees in Celsius.
a. Find (f o g) (x)
b. (g o f) (x)

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Question 1176539: Rowena works as a saleslady in SM Department
Store. As one of her benefits, she receives 25%
employee discount on her purchases at the store.
During the End of the Month Sale, Rowena bought
a skirt that was on sale for 40% off. The original
price of the skirt is ₱450.00. How much did Rowena
pay?

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Question 1176607: A piece of wire 20 ft long is cut into two pieces. One piece is bent into the shape of a circle and the other one into
the shape of square. How should the wire be cut so that
a. the combined area of the two figures is as small as possible?
b. the combined area of the two figures is as large as possible?

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Question 1176612: A bakery has a total cost function of c(x)= 5x + 3000 and total revenue
function of R(x)= 15x.
a. Find the equation of the profit function for a certain type of bread.
b. Find the profit for 500 pieces of bread.

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Question 1176609: You pull out the plug from the bathtub. After 30 seconds, there are 45 liters
of water left in the tub. One minute after you pull the plug, there are 37 liters left. Assume that the number of liters has a linear relationship with the time since the plug was pulled. At what time will there be 26 liters of water left in the tub?

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Question 1176827: twenty is a number minus five

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Question 1176827: twenty is a number minus five

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Question 1177346: A net force of 5,000.0 N accelerates a car from rest to 90.0 km/h in 5.0 s. (a) What is the mass
of the car? (b) What is the weight of the car?

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Question 1177933: A landscape designer is making a triangular garden. The garden is to be enclosed by a fence
costing $1.50/m. What will be the cost of the fence?

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Question 1178341: There is an animal farm where chickens and cows live. All together, there are 80 heads and 224 legs. How many chickens and cows are there on the farm?
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Question 1178438: There is an animal farm where chickens and cows live. All together, there are 47 heads and 164 legs. How many chickens and cows are there on the farm?
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Question 1179165: Henry is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Henry's test score (out of 50) if he got 2 questions wrong? What would be his score if he got xx questions wrong?

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Question 1180116: "We're hungry!" yelled Martina's sister and brothers. "Where are the pancakes?" Martina didn't pay any attention. She was trying to figure out how to measure out 24 ounces of milk. She had 3 different cans, marked 12
ounces, 6 ounces, and 4 ounces. Each can had just one number marked on it. How many different ways could Martina measure 24 ounces of milk? Write to help explain your best thinking using words, numbers, or pictures.

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Question 1180324: A 15-foot long ladder is leaning against a wall. The bottom is initially 8 feet away from the base of the wall, but is being pushed towards the wall at a rate of 2 feet per second. How fast is
the top of the ladder moving up the wall?

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