An isosceles trapezoid has shorter base of measure a, longer base of measure c, and congruent legs of measure b. The perimeter of the trapezoid is 58 inches. The average of the bases is 19 inches and the longer base is twice the leg plus 7. Find the lengths of the sides.
Tess has 2 1/2 cups of fruit. how many 3/4 cup servings can she make?
The elevation of park city Utah is 6900 feet above sea level.What integer represents the elevation
The elevation of Park City, Utah is presented as 6900 feet above sea level. Therefore, the integer that symbolizes this elevation is +6900, considering that elevation position above sea level is depicted by a positive integer.
Explanation:The elevation of Park City, Utah is indicated as 6900 feet above sea level. As an integer, such elevation is simply represented by the number 6900. An integer is a whole number that can be either greater than 0, termed positive, 0, or less than 0, termed negative. In this scenario, the elevation above sea level is higher than 0. It means the integer representing the elevation is a positive integer. So, the elevation, as an integer, of Park City, Utah is +6900.
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What is 1 and 3\11 as an improper fraction?
Molly's basic cell phone plan charges $35.99 for service plus $0.21 per minute beyond the included 250 minutes in the plan. How much will it cost if she used her cell phone for 480 minutes in one month? ...?
23 + 45 - 48 + 34 * x = 292
What does x equal
A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?
Answer:
15.5 NOT 17
Step-by-step explanation:
Mark spent $1.19 on a drink and $4.89 on his sandwich.
What is the total amount Mark spent?
A.
$5.08
B.
$5.98
C.
$6.08
D.
$6.18
What does the line -5+8y=8 look like?
Answer:
Is a horizontal line
Step-by-step explanation:
we have
[tex]-5+8y=8[/tex]
Solve for y
Adds [tex]5[/tex] both sides
[tex]-5+8y+5=8+5[/tex]
[tex]8y=13[/tex]
Divide by [tex]8[/tex] both sides
[tex]y=13/8[/tex]
[tex]y=1.625[/tex]
This is a horizontal line parallel to the x-axis
The slope is equal to zero
see the attached figure to better understand the problem
Which equation demonstrates the additive inverse property?Select one of the options below as your answer:
A. r × 0 = r
B. r + s = s + r
C. r + 0 = r
D. r + (-r) = 0
A sneaker store salesman had $4,125 in total monthly sales last month. he made $165 in commission from those sales. what is the salesman's commission as a percent of his total monthly sales?
How many faces does a rectangle have?
What conditions give 2 roots, one root and no root?
What are the coordinates of the focus of the conic section shown below?
y^2-4x+4y-4=0
...?
Answer:
(-1,-2) is the correct answer
Step-by-step explanation:
Simplify 7x 7 6x - 9.
Answer:
[tex]13x -2[/tex]
Step-by-step explanation:
7x +7+6x - 9
simplify the given expression
To simplify the given expression we add like terms
the terms that as same variables with same exponent are like terms
7x and 6x are like terms
7x + 6x = 13x
+7 -9 = -2
So expression becomes [tex]13x -2[/tex]
Find the slope the line that contains (2,4) and (4,4)
Translate this word phrase into an equation. one increased by two equals the quotient of nine and three
Final answer:
The translation of the word phrase into an equation is 1 + 2 = 9 ÷ 3. Solving the equation by performing division before addition verifies its correctness, resulting in 3 = 3.
Explanation:
The word phrase "one increased by two equals the quotient of nine and three" can be translated into an algebraic equation as follows:
1 + 2 = 9 ÷ 3
To solve the equation, perform the division on the right side of the equals sign first, as per the order of operations (PEMDAS/BODMAS), which states that division should be completed before addition:
1 + 2 = 3
Then adding the numbers on the left side:
3 = 3
This confirms that the given translation of the word phrase into an equation is correct, as both sides of the equation are equal.
Explain the converse of the Pythagorean theorem.
A. The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse.
B. The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
What 3 times itself equals 1331?
Answer:
11
Step-by-step explanation:
during a special sale all video games cost $26 & all movied cost $14. Jack plans to spend some or all of his $220 in bday money on these movies & video games.
WRITE AN INEQUALITY
The inequality that represents Jack's budget constraints for purchasing video games and movies is 26x + 14y ≤ 220, where x is the number of video games and y is the number of movies.
Explanation:To write an inequality representing Jack's spending on movies and video games with the given budget, we first assign a variable to the quantity of each item Jack could purchase. Let x represent the number of video games and y represent the number of movies. Since video games cost $26 each and movies cost $14 each, and Jack has $220 to spend, the inequality representing this scenario is:
26x + 14y ≤ 220
Here, x and y must be non-negative integers because you cannot purchase a negative amount or a fraction of a game or movie. This inequality ensures that the total amount spent on video games and movies does not exceed Jack's budget of $220.
Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?
Solve -9-8(1+4h)=-17
Jill Barkely obtained a 25-year, $460,000 mortgage loan from University Savings and Loan Association with 6% interest. The monthly payment is $2,962.40. For the first payment, find the interest to the nearest cent.
How many times does 6 go into 87?
Mr. jones has agreed to borrow $3500 for one year st 10% interest. what is the total amount he will pay back to the bank?
The total amount Mr. Jones will pay back after borrowing $3500 for a year at 10% interest rate is $3850, simply add the interest to the principal amount borrowed.
Mr. Jones borrowed $3500 for one year at 10% interest rate. The total amount he will pay back to the bank can be calculated as follows:
Interest = Principal x Rate = $3500 x 0.10 = $350
Total amount to be paid back = Principal + Interest = $3500 + $350 = $3850
A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)
To find the probability that at least 8 of the words on a 10-word test are known by a student, calculate the probabilities for exactly 8, 9, and 10 known words and sum them. Use combinations to determine the probabilities and round the final answer to three decimal places.
Explanation:The student knows 16 words out of 26, and the test contains 10 words. To find the probability that at least 8 out of 10 words on the test are known to the student, we need to calculate the probability for exactly 8, 9, and 10 known words, using combinations, and then sum these probabilities.
Let's denote K as knowing the word and N as not knowing the word. The total number of ways to choose 10 words out of 26 is given by 26 choose 10, denoted as C(26,10).
The probability of getting exactly 8 known words is given by (C(16,8) * C(10,2)) / C(26,10).
The probability of getting exactly 9 known words is (C(16,9) * C(10,1)) / C(26,10).
The probability of getting all 10 known words is (C(16,10) * C(10,0)) / C(26,10).
We add these probabilities together to get the total probability that the student knows at least 8 out of 10 words:
We sum these individual probabilities to obtain the final answer. The result should be rounded to three decimal places as per the instructions given in the question.
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525.4 is 74% of what number
During a period of deflation, the graph of the consumer price index (CPI) will rise.
A. True
B. False ...?
Final answer:
The statement is false; during a period of deflation, the Consumer Price Index (CPI) would decrease, not rise, reflecting a decrease in the average level of prices.
Explanation:
The answer to the student's question is B. False. During a period of deflation, the Consumer Price Index (CPI) would not rise; it would actually decrease. This is because deflation is characterized by a decrease in the average level of prices. For instance, during the Great Depression, a notable period of deflation, the CPI in the United States fell from 17.2 in 1929 to 12.9 in 1933, illustrating a decline in the general price level. Conversely, inflation will cause the CPI to rise because it reflects an increase in prices over time.
The Consumer Price Index is an economic indicator often used to measure inflation or deflation in an economy. A rise in CPI indicates inflation, whereas a drop indicates deflation. As inflation and deflation affect the real value of money, observing the changes in the CPI helps to understand the purchasing power of currency over time.
If 4(x-2/3)=-18, what is the value of 2x?
The discriminant of a quadratic equation is negative. One solution is 3+4i . What is the other solution?
A.4-3i
B.3-4i
C.4+3i
D.-3+4i