Step [tex]1[/tex]
Convert mixed numbers to improper fractions
we know that
[tex]4\frac{1}{4}=\frac{4*4+1}{4}=\frac{17}{4}[/tex]
[tex]2\frac{3}{4}=\frac{2*4+3}{4}=\frac{11}{4}[/tex]
Step [tex]2[/tex]
Find the difference of the numbers
[tex]\frac{17}{4}-\frac{11}{4}=\frac{6}{4}=\frac{3}{2}[/tex]
Step [tex]3[/tex]
Convert improper fraction to mixed number
[tex]\frac{3}{2}=1.5=1+0.5=1+\frac{1}{2} =1\frac{1}{2}[/tex]
therefore
the answer is the option B
[tex]1\frac{1}{2}[/tex]
a. Show that the system of rational expressions is closed under addition, or give an example showing the contrary.
Whats 913 divide by 29 show your work
The division of 913 by 29 yields a quotient of 31 with a remainder of 14, which can be written as 31 R14 or as a decimal, 31.4827586207.
Calculating 913 Divided by 29:
To calculate 913 divided by 29, you perform long division. Firstly, you determine how many times 29 can fit into the initial digits of 913. Seeing that 29 goes into 91 three times (since 29 x 3 = 87), you write down the 3 above the last digit of 91, subtract 87 from 91, and bring down the next digit of 913, which is 3, next to the 4 remaining from the subtraction, forming 43. Now, you determine how many times 29 can fit into 43 without exceeding it. The answer is once. So you write 1 above the 3 in 913, multiply 29 by 1 to get 29, and subtract this from 43 to get 14. Since there are no more digits in 913 to bring down, you have finished the division process.
The result of the division is 31 with a remainder of 14, which can also be written as 31 R14 or as 31.4827586207 when expressed as a decimal.
A good way to check your math is to multiply the quotient by the divisor and add the remainder. If the result equals the original dividend, your division is correct. In this case, 31 x 29 + 14 equals 913, confirming the division is accurate.
If g(x) = 2 − 1, what is g(−2.3)?
Final answer:
Assuming the function g(x) is 2x - 1, to find g(-2.3) we substitute -2.3 for x, calculate the expression, and obtain
g(-2.3) = -5.6.
Explanation:
The student has provided an incomplete function g(x), as it shows g(x) = 2 - 1 without any variable after the subtraction sign. Assuming this is a typographical error and the student meant g(x) = 2x - 1, we can proceed to evaluate the function for x = -2.3.
To evaluate g(-2.3), we substitute -2.3 into the function:
g(x) = 2x - 1g(-2.3) = 2(-2.3) - 1g(-2.3) = -4.6 - 1g(-2.3) = -5.6Therefore, the value of g(-2.3) is -5.6.
What to the second power equals 9/16?
The number that, when squared, equals 9/16 is 3/4 as the square root of a fraction is the square root of the numerator divided by the square root of the denominator.
Explanation:The question is asking what number raised to the second power (or squared) equals 9/16. In mathematical terms, it's asking for a number n whereby n² = 9/16. Since squaring a number means multiplying it by itself, we can say that n = √(9/16).
The square root of 9/16 can be found by taking the square root of 9 and the square root of 16 separately. This is possible because the square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator (√a/b = √a / √b).
So, the square root of 9 is 3 and the square root of 16 is 4. Therefore, √(9/16) = 3/4. Hence, the number that when squared gives 9/16 is 3/4.
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A lady wants to make an open-top box for packing baked goods by cutting equal squares from each corner of an 11in. by 16 in. piece of cardboard as shown in the diagram. she figures that versatility the area of the bottom must be 80in^2. What size of square Should be cut from each corner? (round three decimal places)
Final answer:
The size of the square to be cut from each corner of the cardboard to create a box with a desired area of 80in^2 is approximately 1.553 inches.
Explanation:
The size of the square should be cut from each corner of an 11in. by 16 in. piece of cardboard to create a box with a desired area of 80in2 is approximately 1.553 inches.
To calculate this, we start by finding the area of the original cardboard piece, which is 11*16=176in2. Then, we subtract the area of the four squares cut out, 4x2, from the original area to get the area of the box's base, which is 176 - 4x2=80. Solving for x gives us the size of the square to be cut out.
What is the distance between these two points on a number line?
–93 and 114
A.–207
B.–21
C.21
D.207
what is the solution for the equation for X -10 equals 2X? X equals blank
List the multiples of 3 that are also multiples of 5.
The name of the compound kf is.....
a. sodium chloride
b. potassium fluoride
List the following numbers in order from least to greatest 2.8,2.8x10^2,2.8x10^-3,2.8x10^4,2.8x10^-5
Answer:
[tex]2.8\times 10^{-5},2.8\times 10^{-3},2.8, 2.8\times 10^2,2.8\times 10^4,[/tex]
Step-by-step explanation:
We have been given several numbers and we are asked to order them in least to greatest order.
Given numbers: [tex]2.8, 2.8\times 10^2,2.8\times 10^{-3},2.8\times 10^4,2.8\times 10^{-5}[/tex]
We know that the number with negative power will be smaller than the number with positive powers.
We can see from our given numbers that [tex]2.8\times 10^{-5}[/tex] has a negative power. We can rewrite this as [tex]2.8\times \frac{1}{10^5}[/tex]. This will be the smallest number.
Upon arranging our given number from least to greatest we will get,
[tex]2.8\times 10^{-5},2.8\times 10^{-3},2.8, 2.8\times 10^2,2.8\times 10^4,[/tex]
Find the midpoint of each side of the trapezoid. Connect the midpoints. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the trapezoid?
(photo)
What are the earnings for:
1. 5 days at $69.00 a day = $
2. 3.5 days at $27.75 a day = $
Answer:
1. 345 dollars
2. 97.125 dollars
Step-by-step explanation:
1) What are the earnings for 5 days at 69 dollars a day?
If a person makes 69 dollars a day and we want to know the earning of 5 days, we would have to multiply the earnings per day by the number of days.
69 x 5 = 345.
2) What are the earnings for 3.5 days at 27.75 dollars a day?
If a person makes 27.75 dollars a day and we want to know the earning of 3.5 days, we would have to multiply the earnings per day by the number of days.
27.75 x 3.5 = 97.125
The cost, c(x), for a taxi ride is given by c(x) = 2x + 4.00, where x is the number of minutes. What does the slope mean for this situation
A. The taxi ride costs a total of $4.00
B. The taxi ride costs $2.00 per trip.
C. The rate of change of the cost of the taxi ride is $2.00 per minute.
D. The rate of change of the cost of the taxi ride is $4.00 per minute.
The interpretation is (c) the rate of change of the cost of the taxi ride is $2.00 per minute.
How to interpret the slope?The function is given as:
c(x) = 2x + 4.00
A linear equation is represented as:
c(x) = Slope * x + y-intercept
By comparison, we have:
Slope = 2
This means that the slope of c(x) = 2x + 4.00 is 2
Hence, the interpretation is (c) the rate of change of the cost of the taxi ride is $2.00 per minute.
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A social service agency finds that, on the average, 2.86 of every 100 families need help from the agency. About how many families can they expect to help in a town of 976 families?
The equation h = -16t^2 + 32t + 9 gives the height of a ball, h, in feet above the ground, at t seconds after the ball is thrown upward. How many seconds after the ball is thrown will it reach its maximum height? What is its maximum height?
3/4 1 1/2 simplest form
In circle P, diameter QS measures 20 centimeters.
What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.
9.9 centimeters
19.9 centimeters
21.5 centimeters
43.0 centimeters
Answer:
the answer is 19.9 cm
What's the answer ?????
The ratio of the number of cars to the number of motorcycles in a parking lot is 10:3. The ratio of the number of motorcycles to the number of vans is 2:5. There are 30 cans in the parking lot. How many more cars than vans are there?
The given amount converted to units?
120 s; minutes
a. 3.25min b. 1.75min c. 2min d. 1.3min
Please respond with a explanation thank you.
Write a conditional statement from the sentence. "parallel lines do not intersect."
How much money will Rachel have in her account in ten years
Which statement defines the term capacity?
The correct answer is:
Credit grantors' measurement of a person's ability to repay loans.
Explanation:
When lending money, financial institutions look at a variety of factors. One of the most important is the ability of the person taking out the loan to repay it. Financial institutions refer to this as "capacity."
Write two million three hundred and twenty thousand five hundred and two as a number.
Step-by-step explanation:
i was trying to figure out if I can always handle your math exams would it be possible
Is 35 prime or a composite
Answer: Composite
Step-by-step explanation: To see if 35 is a prime number or a composite number, let's first start by finding the factors of 35.
To find the factors of 35, begin by dividing 35 by 1 which gives us 35. This means that 1 and 35 are factors.
Next, since 35 is not divisible by 2, 3, or 4, we divided 35 by 5 which gives us 7. This means that 5 and 7 are factors.
Next, since 35 is not divisible by 6, we divide 35 by 7 which gives us 5. Notice that 7 and 5 are repeat factors and once we hit repeat factors, this means that all other factors we try will repeat.
Therefore, the factors of 35 are 1, 5, 7, and 35.
Since 35 has more than two factors, it's called a composite number.
what is 6.02 + 1.3 - _________ = 4.39
Final answer:
To find the missing number in the equation 6.02 + 1.3 - __ = 4.39, you need to first add 6.02 and 1.3, and then subtract the result from 4.39 to obtain the missing number, which is -2.93.
Explanation:
What you need to do in this question is solve for the missing number to make the equation true: 6.02 + 1.3 - x = 4.39.
First, add 6.02 and 1.3: 6.02 + 1.3 = 7.32.
Next, subtract 7.32 from 4.39 to find the missing number: 4.39 - 7.32 = -2.93. Therefore, the missing number is -2.93.
Quadrilateral ABCD has 2 pairs of parallel sides, and perpendicular diagonals. What is the MOST SPECIFIC name for the quadrilateral?
A)
parallelogram
B)
rectangle
C)
rhombus
D)
square ...?
Answer:
C - Rhombus
Step-by-step explanation:
A rhombus ALWAYS has perpendicular diagonals. A rhombus is just a parallelogram with four equal sides, so two of them have to be parallel, at least.
Answer:
it's a parallelogram
A school crossing sign has the dimensions shown. The sign can be thought of as a composite figure of a rectangle and a triangle, or two identical trapezoids. The area of the sign is ____ in2. (Enter only the number.) ...?
a survey of reading habits of 100 students showed that 30 read both comics and novels. 10 read neither comics nor novels and twice as many students read comics as read novels. 1. illustrate the information on a Venn diagram. 2. how many students read only novels. 3. how many students read comics. 4. how many students read only one type of book.
Wriye the mixed number as a fraction 4 1/3