which verbal expression represents the algebraic expression x/2+5
Answers
The verbal expressions A. half of five more than a number, C. five more than half a number, and D. half of five less than a number represent the given algebraic expression when assigned with a variable. The expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).
The verbal expressions that represent the algebraic expressions are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. To convert these expressions into algebraic form, we need to assign a variable, say x, to the unknown number.
A. Half of five more than a number can be expressed algebraically as 1/2(x + 5). B. Twice a number and five can be written algebraically as 2x + 5. C. Five more than half a number can be expressed algebraically as 5 + 1/2x. D. Half of five less than a number can be written algebraically as 1/2(x - 5).
Therefore, the expressions that represent the given algebraic expression are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. Expression B represents a different algebraic expression altogether.
To summarize, three of the given verbal expressions represent the given algebraic expression, which can be converted to algebraic form by assigning a variable to the unknown number. These expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).
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Related Questions
Determine the common factors and HCF for each of the following terms.
b) 2b, 3b
e) 5bc, 2c2, 3cd
f) 4a2b, 8b2c, 6bcd
Help please and explanation..
Answers
Answer: Please see explanation column for answers
Step-by-step explanation:
When a number divides into another number without a remainder, it s called a factor of that number. Lets say we want to find the common factors of two numbers, we get the factors of each one and compare them. The common factor is the one that is found in both lists
While The Highest common factor, is the highest factor number found in both lists.
b) 2b , 3b
Factors of 2b= 1, 2 and b
Factors of 3b=1, 3 and b
Common factors =1 and b
HCF=1b
e) 5bc, 2c2, 3cd
Factors of 5bc= 1, 5, b, c
Factors of 2c2= 1, 2, c, c2
Factors of 3cd= 1, 3, c, d
Common factors = 1 and c
HCF= 1c
f) 4a2b, 8b2c, 6bcd
Factors of 4a2b= 1, 2, 4, a, a2, b
Factors of 8b2c= 1, 2, 4, 8, b, b2, c
Factors of 6bcd= 1, 2,3,6, b, c,d
Common factors = 1, 2 , b
HCF= 2b
sally would like a 90 average on the five math tests this semester. her scores so far are 80, 82, 92, 98. what grade must she earn on her 5th and last test to achieve the 90 average?
Answers
Answer:
Step-by-step explanation: To find out what grade Sally needs to earn on her fifth and last math test to achieve a 90 average, we use the following steps:
Step 1: Add the total points Sally has received: 80 + 82 + 92 + 98 = 352.
Sally has taken 4 tests so far.
Step 2: Find the total marks required for a 90 average on 5 tests: 90 x 5 = 450.
Step 3: Find the score Sally needs to achieve on her fifth test by subtracting the points earned from the total required points: 450 - 352 = 98.
Therefore, Sally needs to earn a grade of 98 on her 5th and last test to achieve a 90 average on all five tests this semester.
What is the difference between permutations and combinations.
Answers
Answer:
permutations: order matters
combinations: order doesn't matter
Answer:
A combination doesn't need to be in a specific order, unlike permutation which needs to go in order.
Step-by-step explanation:
Pat found the sum of the first 2021 positive even integers and Ray found the sum of the first 2022 positive even integers. By how much does Ray's sum exceed Pat's sum
Answers
The sum of the first 2021 positive even integers is (2021 x 2022). Therefore, Ray's sum exceeds Pat's sum by 2052.
The sum of the first 2021 positive even integers is given by 2+4+6+...+4040. To find this sum, we can use the formula for the sum of an arithmetic series:
S = (n/2)(a + l)
where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term. In this case, n = 2021, a = 2, and l = 4040 (which is the 2021st even integer). So we have:
S = (2021/2)(2 + 4040)
= 2041210
Therefore, Pat's sum is 2041210.
The sum of the first 2022 positive even integers is given by 2+4+6+...+4042. Using the same formula as above, we have:
S = (2022/2)(2 + 4042)
= 2043262
Therefore, Ray's sum is 2043262.
To find by how much Ray's sum exceeds Pat's sum, we can subtract Pat's sum from Ray's sum:
2043262 - 2041210 = 2052
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Mr. Quesada took out a loan for $12,000. To pay it back, he will make 24 monthly payments of $629. How much will he pay in interest?
Answers
Answer:
$3,096
Step-by-step explanation:
To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.
The total amount Mr. Quesada will pay back over 24 months is:
$629 x 24 = $15,096
Subtracting the original loan amount, we get:
$15,096 - $12,000 = $3,096
So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.
6th grade math help me plzz
Answers
Answer:
A-B really simple.
Step-by-step explanation:
Please answer math question
Answers
Answer:
y = (-4/3)x - 10
Step-by-step explanation:
m = -4/3 and we are given the point (-3,-6)
Given the linear equation as y = mx + b
now solve for b
-6 = (-4/3)(-3) + b
-6 = 4 + b
b = -10
Now we have the final equation as
y = (-4/3)x - 10
A researcher wants to compare the performance of three types of pain relievers in volunteers suffering from arthritis. Because people of different ages may suffer arthritis of varying degrees of severity, the subjects are split into two groups: under 60 and over 60. Subjects in each group are randomly assigned to take one of the medications. Twenty minutes later they rate their levels of pain. Which of the following is true about this study?
a.
.
It has two factors, medication and age.
B.
It has one factor (age) blocked by type of medication.
C.
It uses matched pairs.
D.
It is completely randomized.
E.
It has one factor (medication) blocked by age.
Answers
The following is true about the study: e. It has one factor (medication) blocked by age.
In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.
In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.
Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.
In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.
In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.
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Jake kept track of the number of minutes it took him to assemble sandwiches at his
restaurant.
Number of
sandwiches
Minutes
1
3
2
4
4
5
6
6
7
7
Answers
Which approach to probability is exemplified by the following formula? Probability of an Event= Number of favourable Outcomes /Total number of possible outcome A) Classical approach B) Empirical approach C) Subjective approach D) None of the above
Answers
The approach to probability exemplified by the formula Probability of an Event = Number of favourable Outcomes / Total number of possible outcomes is the Classical approach to probability.
The Classical approach to probability is based on the assumption of equally likely outcomes and is often used when dealing with simple and well-defined experiments or situations. It involves counting the number of favorable outcomes (those that satisfy the desired condition) and dividing it by the total number of possible outcomes. This approach assumes that all outcomes have an equal chance of occurring.
In contrast, the Empirical approach involves conducting experiments or observations to gather data and estimate probabilities based on the observed frequencies. The Subjective approach relies on personal judgments or subjective assessments of probabilities based on individual beliefs or opinions.
Therefore, the correct answer is A) Classical approach.
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Sandra purchased $1,200 worth of electronic equipment on her new credit card, with an annual interest rate of 14.99%. If she has no other charges on the card and does not pay off the balance at the end of the month, how much money will she owe the credit card company after 1 month? Estimate the interest using the monthly periodic rate.
Answers
Given data:
The given amount of equipment purchased by the Sandra is A=$1,200.
CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.
Answers
Total stockholders’ equity 7,800,000
Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000
Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000
Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000
To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.
The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.
Calculations:Opening balance of common stock = $100,000
Opening balance of additional paid-in capital = $4,100,000
Opening balance of retained earnings = $3,000,000
Net Income for the year ended December 31, 2012 = $800,000
Retained earnings (Opening Balance) = $3,000,000
Add: Net Income for the year ended December 31, 2012 = $800,000
Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000
Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000
Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Part E
After how many years will the investment have a value of less than $2,000?
Answers
Answer:
At year 3 and beyond, The investment will have a value less than $2,000.
t=3.
Step-by-step explanation:
Tina's teacher wrote 7/8 on the whiteboard. What percentage is equivalent to the fraction that Tina's teacher wrote on the whiteboard?
Answers
I think it's like 0.88, but I believe that's it rounded up.
how many milliliters are in 90 ounces
Answers
Answer:
2661,62 ml
Step-by-step explanation:
Answer:
2661,62 milliliters are in 90 ounces
Step-by-step explanation:
If you're using US customary fluid ounces, your 90 fl oz is equal to 2661,62 ml when rounded off.
What is the mean absolute deviation of this data set of 82,84,84,87,88,90,90,92
Answers
Answer:
Average value: 87,125
Step-by-step explanation:
(82,84,84,87,88,90,90,92) ↔ 8
(82+84+84+87+88+90+90+92)/8 = 697/8 = 87,125
shelly sews a square blanket that has an area of 144 square feet. it has 36 square blocks, each the same size. what is the approximate length of each side of a block? (1 point)
Answers
The side of the square of each block = 2 feet
Given,
Shelly sews a square blanket that has an area of 144 square feet.
and, it has 36 square blocks, each the same size.
To find the approximate length of each side of a block
Now, According to the question:
36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks
= 144/ 36
= 4
The area of each square = 4 square feet
We know that
Area of square = side ^2
Side ^2 = 4
side = \(\sqrt{4}\)
Side = 2
Hence, The side of the square of each block = 2 feet
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Which is an equation of the line with a slope of 1/4 and a
y-intercept of - 2?
a. x-4y=8
b. x+4y=-8
c. 4x+y=-2
d. 4x-y=2
Answers
Answer:
x-4y=8
Step-by-step explanation:
x-4y=8
-4y=-x+8
y =-x/4 + 2
Aubree invests money in an account paying simple interest. She invests $30 and no
money is added or removed from the investment. After one year, she has $32.40.
What is the simple percent interest per year?
Answers
Answer:
8%
Step-by-step explanation:
$30 divided by 100= 0.3/1%
0.3x8=$2.40
$30+$2.4=32.40
The measures of heights (in inches) of a class of students are shown. 60, 60,54, 62, 62, 57,58, 65, 54,67, 63,57, 62, 54, 72, 66, 54, 69, 55, 61 Find the mean, median, mode, range, and standard deviation of the heights.b. A new student who is 7 feet tall joins your class. How would you expect this student’s height to affect the measures in part (a)?
Answers
Answer:Compute the variance: 49+25+16+9+1+16+36+648=27.
The variance is a measure of the dispersion and its value is lower for tightly grouped data than for widely spread data. In the example above, the variance is 27. What does it mean to say that tightly grouped data will have a low variance? You can probably already imagine that the size of the variance also depends on the size of the data itself. Below we see ways that mathematicians have tried to standardize the variance.
Step-by-step explanation:
Evaluate if x=4
3x+1
A)2
B)3
C)11/4
D)13/4
Answers
Step-by-step explanation:
Given
If x = 4 Then
3x + 1 = 3 * 4 +1 = 12 + 1 = 13
The answer should be 13.
Test the series for convergence or divergence.
5/6 - 5/8 + 5/10 - 5/12 + 5/14 - . . .
Answers
We can observe that the series is an alternating series, where the terms alternate in sign. Therefore, we can use the Alternating Series Test to determine convergence or divergence. The Alternating Series Test states that if a series alternates in sign, and the absolute value of each term in the series decreases and approaches zero, then the series converges.
In this case, the absolute value of each term is 5/6, 5/8, 5/10, etc. We can see that the denominators are increasing by 2 each time, so the absolute value of each term is decreasing and approaching zero. Therefore, we can apply the Alternating Series Test.
The Alternating Series Test also states that we must check if the limit of the absolute value of the terms is zero. We have:
lim (n→∞) 5/(2n) = 0
Since the limit of the absolute value of the terms is zero, and the series alternates in sign and the absolute value of each term decreases, the series converges.
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Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?
Answers
Answer:
8.4weeksStep-by-step explanation:
The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"
given that Mike is paid $5 per hour
and that he only works 2 hours per week
that means in a week he earns= 5*2= $10
Also, given that mike has a fee of $84 to pay
it would take him 84/10= 8.4weeks
it would take him 8.4weeks to pay the money
niyah mom is 34 and kilye mom is 56 how are old are there mom?
Answers
Answer:22
I think
Step-by-step explanation:
56-34=22
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Helen has a new beaded necklace. 80% of the 75 beads on Helen's necklace are blue. How many blue beads are there on Helen's necklace?
Answers
Answer:
80% of 75 = 60
Step-by-step explanation:
first make 80% a decimal so 0.8 because 80/100 = 0.8
the multiply 0.8 by 75
this will give you 60
Therefore Helen's necklace has 60 blue beads
find the total area netweent he function f9x)=2x and the x axis over the inteval [-3,3]
Answers
The area between the function f(x) = 2x and the x-axis over the interval [-3, 3] is 18 square units.
Given function: f(x) = 2x
The interval is [-3, 3]
To find the area between the curve and the x-axis over the interval [-3, 3], we need to integrate the absolute value of the function i.e.,
∫|f(x)| dx from -3 to 3.
Here, f(x) = 2x, so
|f(x)| = 2x
∴ Area between the curve and the x-axis = ∫|f(x)| dx from -3 to 3
= ∫|2x| dx from -3 to 3
= ∫2x dx from -3 to 3
As we know that absolute value is a piecewise-defined function. Therefore, we can evaluate it separately for x < 0 and x ≥ 0.
So,
∫|2x| dx from -3 to 3 =∫-2x dx from -3 to 0 + ∫2x dx from 0 to 3
∴ Area between the curve and the x-axis= (∫-2x dx from -3 to 0 + ∫2x dx from 0 to 3)
= [x²] from -3 to 0 + [x²] from 0 to 3
= [(0)² - (-3)²] + [(3)² - (0)²]
= 9 + 9
= 18 square units.
Conclusion: So, the area between the function f(x) = 2x and the x-axis over the interval [-3, 3] is 18 square units.
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What is the standard deviation of 5, 9, 9, 1, 5, 7, 6 then round it to the nearest tenth
Answers
The standard deviation of 5, 9, 9, 1, 5, 7, 6 rounded to the nearest tenth is 2.6.
Standard deviation calculationStep 1: Calculate the mean
Mean = (5 + 9 + 9 + 1 + 5 + 7 + 6) / 7 = 42 / 7 = 6
Step 2: Subtract the mean and square the differences
\((5 - 6)^2\) = 1
\((9 - 6)^2\) = 9
\((9 - 6)^2\) = 9
\((1 - 6)^2\) = 25
\((5 - 6)^2\) = 1
\((7 - 6)^2\) = 1
\((6 - 6)^2\) = 0
Step 3: Calculate the mean of the squared differences
Mean = (1 + 9 + 9 + 25 + 1 + 1 + 0) / 7 = 46 / 7 = 6.5714
Step 4: Take the square root of the mean
Standard Deviation = sqrt(6.5714) ≈ 2.5651
Rounded to the nearest tenth, the standard deviation is approximately 2.6.
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What is the symmetry of a quadratic function?.
Answers
The symmetry of a quadratic function is a vertical line that is x = − b/2a.
Quadratic function is defined as the function of the form f(x) = ax² + bx + c, where a, b and c are real numbers with a = 0 and it has the domain of a quadratic function is (−∞,∞).
Here we have given that we need to find the symmetry of a quadratic function.
As we all know that When a quadratic function is graphed in the coordinate plane, then the resulting parabola and corresponding axis of symmetry are vertical.
Here we have also know that in order to find the symmetry we have to replace y with (-y) and x with (-x) and the resulting function must be equal to the original function.
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which sum or difference is modeled by the algebraic tiles?
Answers
Answer:
C
Step-by-step explanation:
Suppose the line contains the points (4,0) and (0,-2). If x = 3, find y.
Answers
The line which contains the points (4,0) and (0,-2), value of y when x =3 is, -1/2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The two point form of a straight line is y-y₁ = y₂-y₁/x₂-x₁(x-x₁).
Given that,
The points, (4,0) and (0,-2)
Equation of line for given two points,
y-y₁ = y₂-y₁/x₂-x₁(x-x₁)
y-0 = -2 - 0/0-4(x-4)
y = 1/2(x - 4)
2y = x - 4
when x = 3,
y = 1/2(3 - 4)
y = - 1/2
Hence, the value of y is -1/2
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