Which statements include two quantities in the real world that are additive inverses?
Select each correct answer.
Responses
A person deposits $100 in to her bank account and then withdraws $100 from the same account.
A driver drives 40 miles north and 30 miles south.
Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.
A plane ascends 500 yards and descends 100 yards.
Answers
A person deposits $100 in to her bank account and then withdraws $100 from the same account.
Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.
Additive inverses are two numbers with the opposite signs:
100 and –100
–20 and 20
Answer:
A person deposits $100 in to her bank account and then withdraws $100 from the same account.
Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.
Step-by-step explanation:
Additive inverse is when you have a number, like 5 and you add or subtract that same number to get zero, for example 5-5=0, in this question, the answers would be
"A person deposits $100 in to her bank account and then withdraws $100 from the same account." is a CORRECT answer because the add 100 and remove 100.
"A driver drives 40 miles north and 30 miles south." is an INCORRECT answer because it has 2 different numbers.
"Twenty gallons of water leak from a pool and 20 gallons are put back into the pool." is a CORRECT answer because it shows how you have a pool and it loses 20, and you add 20.
"A plane ascends 500 yards and descends 100 yards." Is an INCORRECT answer because of the two different numbers.
Related Questions
how many degrees does the minute hand of a clock turn in 45 minutes
Answers
The clock minutes rotate 270 degrees in 45 minutes.
How to calculate the angular size of a clock's handsWhile rotating, the clock's hands are seen to move at a speed of six degrees per minute.
The number of degrees for a clock minute is solved by
60 minutes = 360 degrees
1 minute = ?
cross multiplying
60 * ? = 360
? = 360 / 60
? = 6
hence 1 minute is 6 degrees
The formula to use to get the calculation is multiplying the number of minutes by 6
Number of degrees in 45 minutes = 45 * 6
Number of degrees in 45 minutes = 270 degrees
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Find the equation parallel to y = -x - 5 and passing through (-3, -3)
Answers
Answer:
y = -x - 6
Step-by-step explanation:
If it's parallel, then it means that the slope will remain the same. The slope is
-1.
To find the y-intercept, you need to plug the coordinates into the equation,
y = -1x + b
-3 = -1(-3) + b
-3 = 3 +b
-6 = b
The equation is y = -x - 6
A rectangle has a perimeter of 58 inches. The length is five more than twice the width. Write and solve an equation to determine the width of the rectangle
Answers
Answer:
The width is 8 inches.
Step-by-step explanation:
Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Add or subtract to simplify(4x - 2x^3) +(5x^3 - 4x + 5)
Answers
Answer: 4x -8+ 125x -4x +5
Explanation:
Remove parentheses and combine the opposite terms in 4x - 2x^3 + 5x^3 - 4x + 5 = -2x^3 + 5x^3 + 5
Add -2x^3 and 5x^3 = 3x^3 + 5
the equation 2x+5=3x+2 represents the cost in dollars, x, of a school lunch.what is the cost of the school lunch?
Answers
Answer:
x=$3
Step-by-step explanation:
2x+5=3x+2
-2 from both sides
2x+3=3x
-2x from both sides
3=x
The population of a southern city follows the exponential law. Use this information to answer parts a and b. (a) If N is the population of the city and t is the time in years, express N as a function of t. N(t)=N 0
e kt
(Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 23 months and the current population is 20,000 , what will the population be 5 years from now? The population will be approximately people. (Do not round until the final answer. Then round to the nearest whole number as needed.)
Answers
The expression for N(t) in terms of t and e is N(t) = N0 * e^(kt). Therefore, the population will be approximately 35,192 people in 5 years.
a)The exponential law states that if a population has a fixed growth rate "r," its size after a period of "t" years can be calculated using the following formula:
N(t) = N0 * e^(rt)
Here, the initial population is N0. We are also given that the population follows the exponential law.
Hence we can say that the population of a southern city can be expressed as N(t) = N0 * e^(kt).
Thus, we can say that the expression for N(t) in terms of t and e is N(t) = N0 * e^(kt).
b)Given that the population doubled in size over 23 months, the growth rate "k" can be calculated as follows:
20000 * e^(k * 23/12) = 40000e^(k * 23/12) = 2k * 23/12 = ln(2)k = ln(2)/(23/12)k ≈ 0.4021
Substituting the value of "k" in the expression for N(t), we get: N(t) = 20000 * e^(0.4021t)
After 5 years, the population will be: N(5) = 20000 * e^(0.4021 * 5)≈ 35,192.
Therefore, the population will be approximately 35,192 people in 5 years.
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Is the product of 5/7 and 6 less than 6?
Answers
Answer:
yes
Step-by-step explanation:
5/7*6 = 4.28
Answer:
yes
Step-by-step explanation:
5/7×6=4.28
which is less than 6
Can all lines contain line segments in them?
Answers
Answer: No
Step-by-step explanation: Because not all lines can have to end ponits some needs to go on forever like infinte and not be stop by the end points Hope this is the answer your looking for :).
Determine the values of A, B, and C when y – 7=3(x−4) is written in standard form, Ax+By=C.
Answers
Answer:
Step-by-step explanation:
rearrange this equation y – 7=3(x−4) into this Ax+By = C
its pretty simple if you think about it :)
firstly, lets multiply the 3 with x - 4
y - 7 = 3x -12
we are going to bring the 3x to the right side to make the arrangement possible
-3x - y = -5 (minus twelve plus seven)
therefore, A is -3, B is -1 and C is -5
Please Help! It’s due today!
Answers
Answer:
1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.
2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.
-54 + 17 equals 54-17 = 37.
-96 < 37, so -35 + (-61) is less.
Step-by-step explanation:
The explanation is in the answer section, since your homework asked for me to explain.
Solve the equation
3/2x - 2 > 7
Answers
You can multiply each side of equation by the denominator to eliminate the fraction.
Work:
PT=4x+9 and TQ=9x-6
I NEED HELP ASAP
Answers
Answer:
x = 3
pt = 18
I used a calculator
=)
What is the average rate of change of the function g(t) over the interval from t = a to t = b? How is it related to a secant line?
Answers
The slope of this line is the average rate of change of the function g(t) over the interval [a, b].
The average rate of change of a function g(t) over an interval [a, b] is defined as:
average rate of change = [g(b) - g(a)] / [b - a]
This represents the slope of the secant line between the points (a, g(a)) and (b, g(b)) on the graph of the function g(t).
Geometrically, the secant line is a straight line that passes through two points on a curve. In this case, it is the line that passes through (a, g(a)) and (b, g(b)). The slope of this line is the average rate of change of the function g(t) over the interval [a, b].
Note that the average rate of change gives us information about the overall trend of the function over the interval [a, b], but it does not tell us about the behavior of the function at any particular point within the interval.
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Hey pls answer this (25)
Answers
The congruent triangles in this problem are given as follows:
Triangles A and B.
What are congruent figures?Two figures are classified as congruent if their side lengths are the same.
If we rotate triangle B 180º over it's base, we have that it will have a similar format to triangle A, and also with the same side lengths.
Hence the congruent triangles in this problem are given as follows:
Triangles A and B.
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there are n items and a backpack that can hold max weight of w. is there a way to choose some of these n items to make the total weight exactly equal to w?
Answers
Yes, it is possible.
To determine if there is a way to choose some of the n items to make the total weight exactly equal to w, you can use the following step-by-step approach:
1. List the weights of each of the n items.
2. Create a table with columns representing the weights from 0 to w, and rows representing the items from 0 to n.
3. Initialize the first row (representing item 0) with "True" for weight 0 and "False" for all other weights.
4. Loop through each item (i) from 1 to n:
a. Loop through each possible weight (j) from 0 to w:
i. If the item's weight is less than or equal to the current weight (j), check if the remaining weight (j minus the item's weight) can be obtained using the previous items (row i-1). If yes, mark the current cell as "True".
ii. If the current item's weight is greater than the current weight (j) or the remaining weight can't be obtained using the previous items, copy the value from the cell above (row i-1) in the table.
5. Check the last cell in the table (cell [n][w]). If it is marked "True", it is possible to choose some of the n items to make the total weight exactly equal to w. If it's "False", it's not possible.
This approach uses dynamic programming to efficiently solve the problem. If the last cell in the table is "True", you can backtrack through the table to find the exact items that contribute to the total weight of w.
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a math class conducted an experiment where each student flipped a coin 10 times.The class flipped heads 158 heads and 172 tails.How does the experimental probability of flipping heads?Explain your answer.
Answers
Answer:
Step-by-step explanation:
a mmath class=english
Charles drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are (−2. 2,−2. 3), (−2. 2,1. 5), and (1. 5,1. 5). What are the coordinates of the fourth vertex?
Answers
If the three-vertices of a rectangular-piece of material are (-2.2,-2.3), (-2.2,1.5) and (1.5,1.5), then the fourth-vertex is (1.5, -2.3).
A "Rectangle" is defined as a quadrilateral shape which has "four-sides" and "four-angles", where the opposite sides are parallel and of equal length, and the four angles are all right angles.
Let the coordinates of fourth-vertex be = (x,y).
Since it's a rectangular-piece of material, the "opposite-sides" of rectangle must be parallel and have same-length.
The three vertices of th rectangular piece are :
⇒ Vertex 1: (-2.2, -2.3),
⇒ Vertex 2: (-2.2, 1.5),
⇒ Vertex 3: (1.5, 1.5)
We see that first two vertices have the same "x-coordinate" of -2.2, and the last two vertices have same "y-coordinate" of 1.5.
So, the "fourth-vertex" should have the same x-coordinate as Vertex 3, and the same y-coordinate as Vertex 1.
Therefore, coordinates of fourth-vertex is (1.5, -2.3).
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0.52 25/36 61.24% 0.5724 least to greatest
Answers
Answer:
0.52, 0.5724, 61.24%, 25/36
Step-by-step explanation:
I need brainliest pls
For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e?
Answers
A larger number is 4 more than 5 times the small number. If their sum is 46, what are the two numbers? Write and solve an equation for this situation.
Large Number:
Equation:
Small Number:
Answers
The value of the larger number is 39 and the value of smaller number is 7 and the equation is x =5y+4
What is an equation?
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.
Given,
The larger number is 4 more than 5 times of smaller number.
Let x be the larger number and y be the smaller number and the sum is 46.
According to question,
x = 4+5y
and x+ y = 46
Substitute the value of x, we get
4 +5y +y = 46
4 +6y = 46
6y = 42
y = 7
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24) Choose ALL expressions that are equivalent to
3(2x + 1).
A. 6x + 1
B. 6x + 3
C. 2x + 1 + 4x + 2
D. 3x + 4 + 3x - 1
Answers
you have to multiply everything in the parentheses by the number on the outside
Order the set of numbers from least to greatest: (4 points)
2.71 repeating 71, 2 and 3 over 4, square root 5, 5 over 2
Group of answer choices
2.71 repeating 71, 2 and 3 over 4, square root 5, 5 over 2.
square root 5, 5 over 2, 2.71 repeating 71, 2 3 over 4
5 over 2, square root 5, 2.71 repeating 71, 2 3 over 4
2 3 over 4, 2.71 repeating 71, 5 over 2, square root 5
Answers
The correct order of the set of numbers from least to greatest is 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5 option (D) is correct.
To order the given set of numbers from least to greatest, we need to compare their values. We start by noticing that 2 and 3 over 4 are equivalent to 2.75. Next, we compare the values of the remaining numbers. Since the square root of 5 is approximately 2.236 and 5 over 2 is equivalent to 2.5, we have:
2, 3 over 4 < 2.71 repeating 71 < 2.5 < square root 5
Therefore, the set of numbers in order from least to greatest is 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5.
Ordering the set of numbers from least to greatest, we get:
2, 3 over 4, 2.71 repeating 71, square root 5, 5 over 2.
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The complete question is:
Order the set of numbers from least to greatest: (Group of answer choices)
A. 2.71 repeating 71, 2, and 3 over 4, square root 5, 5 over 2.
B. square root 5, 5 over 2, 2.71 repeating 71, 2 3 over 4
C. 5 over 2, square root 5, 2.71 repeating 71, 2 3 over 4
D. 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5
Look at the ss, I'm just writing bc it won't let me post the question otherwise
Answers
Answer:
B
Step-by-step explanation:
Franco's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 8 single-shot espressos and 12 double-shot espressos. What percentage of the espressos sold were single-shot?
Write your answer using a percent sign (%).
Answers
The percentage of the espressos sold that were single-shot is 40%.
Percentage is a ratio that shows the relative size of a number to 100. In order to find out what percentage of the espresso drinks sold were single-shot, we need to determine the total number of espresso drinks sold. So, in this problem, the total number of espresso drinks sold is: 8 single-shot espresso + 12 double-shot espresso = 20 espresso drinks sold.
Now that we have the total number of espresso drinks sold, we can find out what percentage of those drinks were single-shot. To do this, we divide the number of single-shot espressos sold (8) by the total number of espressos sold (20) and then multiply by 100 to get the percentage. Here's the calculation:8/20 x 100 = 40. Therefore, the percentage of the espressos sold that were single-shot is 40%.
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10 + 3x= 5 – 2x
What are the steps to finding the answer
Answers
Answer:
x=-1
Step-by-step explanation:
10+3x=5-2x (Add 2x to both sides)
10+5x=5 (Subtract 10 from both sides)
5x=-5 (Divide both side by 5)
x=-1
Answer:
x=-1
Step-by-step explanation:
10 + 3x= 5 – 2x
You first +2x on both sides
10 + 3x+2x= 5 – 2x+2x
subtract 10 on both sides
10-10+5x=5-10
Then divide 5 to isolate x
5 divide 5x=-5 divide 5
x=-1
Hope that helps :)
The average number of patients that a doctor had was 56, from monday to friday. more patients visited the doctor on saturday and sunday. as a result, the average number of patients that the doctor had was 60, from monday to sunday. what was the average number of patients on saturday and sunday?
Answers
The average number of patients on Saturday and Sunday is 70.
Given that the average number of patients that a doctor had was 56, from Monday to Friday, and that the average number of patients that the doctor had was 60, from Monday to Sunday.
Let x be the average number of patients on Saturday and Sunday. Then, we can use the formula for the average of a set of numbers to set up an equation:
(56 x 5 + x × 2)/7 = 60
Simplifying this equation, we get:
(280 + 2x)/7 = 60
Multiplying both sides by 7, we get:
280 + 2x = 420
Subtracting 280 from both sides, we get:
2x = 140
Dividing both sides by 2, we get:
x = 70
Therefore, the average number of patients on Saturday and Sunday is 70.
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Jacobs pizza parlor sells pizza for $10 each, with a $20 delivery fee. Ashley's pizza parlor has a $12 delivery fee and sells pizza for $12 dollars each. At what point do the pizza parlors cost the same to deliver pizza?
Answers
Answer:
The pizza parlors cost the same when delivering 4 pizzas.
Step-by-step explanation:
For each store, the total price is
cost of pizzas + cost of delivery
The cost of delivery is just a fixed number for each store, $20 or $12.
The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.
Let x = number of pizzas
The cost of the pizzas is
Jacob's: 10x
Ashley's: 12x
Jacob's total cost (pizzas + delivery):
10x + 20
Ashley's total cost (pizzas + delivery):
12x + 12
We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.
12x + 12 = 10x + 20
Subtract 10 from both sides.
2x + 12 = 20
Subtract 12 from both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The pizza parlors cost the same when delivering 4 pizzas.
What is 16% of GHc5000.00
Answers
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of 5000}}{\left( \cfrac{16}{100} \right)5000}\implies 800\)
Please help!! Barbara ran 2/8 of a mile before lunch, and 3/12 of a mile after lunch, how many miles did she run in total
4th-grade student in need of some assistance!!!!
Answers
Answer:
Step-by-step explanation:
1: Make 2/8 and 3/12 have equal denominators (bottom numbers). So times each fraction by the other fraction denominator to create common denominators.
2: 2/8 (both numbers 2 and 8) times by 12
and 3/12 (both numbers 3 and 12) times by 8
3: you will then get the new fractions of 24/96 + 24/96
4: now that your denominators match you can add your numerators " 24+ 24"
5: to get another new fraction of 48/96 (final answer without reducing)
6: If must to reduce than divide top and bottom by 8 to get 6/12 to see it can reduced into 1/2 because 6 is half of 12
7: final answer ; either 48/96 without reducing(simplifying) or 1/2 with reducing (simplifying)
Answer: 2/4 or 1/2 miles
Step-by-step explanation:
I earned twice as much money as my sister. My friend earned four times as much as my sister. The total amount of money the three of us earned is $210.
How much did each of us earn?
Answers
The amount I earn = 2x
The amount the friend earns = 4x
4x + 2x + x = 210
7x = 210
x=30
Amount the sister earns = 30
Amount I earn = 2(30) = 60
Amount the friend earns = 4(30) = 120