Mary had 6 dollars 50 cents. She puts them all into a bank. But the bank only understands numbers as integers! What happens to the extra 50 cents?
Answers
In this scenario, where the bank only recognizes and deals with whole numbers, the extra 50 cents cannot be directly represented. The bank only considers the integer portion of the amount and ignores the fractional part.
When Mary puts all her money, $6.50, into a bank, but the bank only understands numbers as integers, the extra 50 cents are lost or forfeited as they cannot be converted to integers. Therefore, Mary will only be credited with 6 dollars in the bank.
However, there are a couple of ways Mary could prevent losing the extra 50 cents. She could either round up to the nearest dollar and deposit $7, or she could exchange the coins for bills at a currency exchange, bank or other establishment.
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Related Questions
i think of a number, add 3 to it and multiply the result by 7.
Answers
Answer:
\(7(x + 3)\)
Step-by-step explanation
thinked number = x
add 3 = +3
\(x + 3\)
multiply the result by 7
\(7( x+ 3)\)
hope this helps
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The diagram shows the scores given by the panel of judges during a dancing competition.
B) There were 5 judges.
They each gave one score in each round competition.
How many rounds were there?
Answers
Answer:
a) score 2 and 3.
b) 30 rounds
Step-by-step explanation:
a) score 2 and 3 have same number of frequency which is 7 times, meaning that there are 7 persons get score 3 and 2 respectively.
b) frequency of number of score are 30 times, which means 30 rounds.
score 1: 3 times,
score 2: 7 times,
score 3: 7 times,
score 4: 8 times,
score 5: 5 times.
Answer:
a and b is the answer
the previous answer is a good answer
Below are several lines from the theoretical framework for health and medical care from your notes. For each line, first describe in words what the mathematical expression is saying and then assess whether you think it’s reasonable.
EXAMPLE:
a) y = (, H)
Utility depends on both health (H) and consumption of other goods (besides medical care) (X). This is reasonable – health certainly matters but it’s not the only determining factor of happiness.
b) < 0; HH < 0
c)H >0;H >0
d) H = (m,)
e) m > 0; < 0
f)mm <0
Answers
a) The utility depends on both health (H) and consumption of other goods (X).
b) The coefficient is negative, indicating a negative relationship between two variables.
c) Health (H) is greater than zero, suggesting a positive value for health.
d) Health (H) is a function of a variable denoted as 'm'.
e) The variable 'm' is greater than zero and the coefficient is negative.
f) The product of two variables, 'm' and 'm', is negative.
a) The expression in (a) is reasonable as it acknowledges that utility is influenced by both health and consumption of other goods. It recognizes that happiness or satisfaction is derived not only from health but also from other aspects of life.
b) The expression in (b) suggests a negative coefficient and a negative relationship between the variables. This could imply that an increase in one variable leads to a decrease in the other. The reasonableness of this relationship would depend on the specific variables involved and the context of the theoretical framework.
c) The expression in (c) states that health (H) is greater than zero, which is reasonable as health is generally considered a positive attribute that contributes to well-being.
d) The expression in (d) indicates that health (H) is a function of a variable denoted as 'm'. The specific nature of the function or the relationship between 'm' and health is not provided, making it difficult to assess its reasonableness without further information.
e) The expression in (e) states that the variable 'm' is greater than zero and the coefficient is negative. This implies that an increase in 'm' leads to a decrease in some other variable. The reasonableness of this relationship depends on the specific variables involved and the theoretical context.
f) The expression in (f) suggests that the product of two variables, 'm' and 'm', is negative. This implies that either 'm' or 'm' (or both) are negative. The reasonableness of this expression would depend on the meaning and interpretation of the variables involved in the theoretical framework.
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Given the function, fx=x+4 a).Write the transformed equation g(x), if g(x) = -f(x) + 2. b). Describe the transformation(s) that takes place. i. What does the -f(x) do to the function? ii. What does the +2 do to the function?
Answers
Since the given function is
\(f(x)=x+4\)Since the function after transformation is
\(g(x)=-f(x)+2\)Then we will find g(x) by substituting f(x) by (x + 4)
\(g(x)=-(x+4)+2\)Simplify it
\(\begin{gathered} g(x)=-(x)+-(4)+2 \\ \\ g(x)=-x-4+2 \\ \\ g(x)=-x-2 \end{gathered}\)a) The transformed equation is
\(g(x)=-x-2\)b)
When we change the sign of f(x), that means we made a reflection on the x-axis
i. -f(x) means reflect f(x) about the x-axis
When we add f(x) by a number, then that means we translate the f(x) by a number
ii. +2 means translate the function 2 units up
You roll a die with the sample space S=(1,2,3,4,5,6]. You define A as (1,2,4),B as [1,2,4,5,6],C as [5,6) and D as [2,3,6) Determine which of the following events are exhaustive and/or mutually exclusive
Answers
- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.
To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.
To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.
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Miko and Cheko share some stickers in the ratio 4 : 7.
Miko received 20 stickers.
Cheko received more stickers than Miko.
How many stickers does Cheko receive?
Answers
Answer:
35 stickers
Step-by-step explanation:
The ratio is 4:7. We know that Miko received 20 stickers. 20 / 4 = 5, so now let's multiply 7 x 5 = 35.
Can someone please please help mke i was suppose to finnish this at least 4 weeks ago please can someone answer this question for at leat 150 or 200 points.
Answers
The number of mulch sold is 108 pounds, and the number of gravel sold is 72 pounds.
What is the number of each item sold?The number of each item sold is calculated as follows;
The number of gravel found in mulch sold is calculated as;
( 2 ¹/₄ ) / ( 1 ¹/₂ ) = ( 2.25 ) / ( 1.5 ) = 1.5
mulch = 1.5 gravel
let the number of gravel = x
1.5x + x = 180
2.5x = 180
x = 180 / 2.5
x = 72
The number of mulch = 1.5 x 72 = 108
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what is the slope of a line (-2,3) and (2,-3)
Answers
Answer:
Negative slope
Step-by-step explanation:
This is a negative slope because when you plot the numbers on the graph it makes a negative slope.
magdalena left out a statement from the proof shown. which statement is best explained by the alternate exterior angles theorem?
Answers
The statement which is best explained by the alternate exterior angles theorem is ∠1 ≅∠2.
What do you mean by angles?
When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
We know that, alternate exterior angles theorem states that, when two parallel lines are cut by a transversal line, the resultant exterior angles are congruent.
∠1 and ∠2 are both alternate exterior angles.
Therefore, the correct answer for the following problem is ∠1 ≅∠2.
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Please Help! I need 16 Pythagorean Theorem equations including the Hypotenuse Length for each.
Answers
T
How to determine the hypotenuse?
Step 1 and 2: Draw an isosceles right triangle
See attachment (figure 1) for this triangle
The legs of this triangle have a length of 1 inch
Step 3: The hypotenuse
This is calculated using the following Pythagoras theorem
h^2 = 1^2 + 1^2h
2
=1
2
+1
2
This gives
h = \sqrt 2h=
2
Step 4: Draw another isosceles right triangle
Add 1 inch to one of the legs
See attachment (figure 2) for this triangle
The legs of this triangle have lengths of 1 inch and 2 inches, respectively
This hypotenuse is calculated using the following Pythagoras theorem
h^2 = 2^2 + 1^2h
2
=2
2
+1
2
This gives
h = \sqrt 5h=
5
Step 5: Draw another isosceles right triangle
Add 1 inch to one of the legs
See attachment (figure 3) for this triangle
The legs of this triangle have lengths of 1 inch and 3 inches, respectively
This hypotenuse is calculated using the following Pythagoras theorem
h^2 = 3^2 + 1^2h
2
=3
2
+1
2
This gives
$$h = \sqrt {10$$
Step 6: Draw another isosceles right triangle
Add 1 inch to one of the legs
See attachment (figure 4) for this triangle
The legs of this triangle have lengths of 1 inch and 4 inches, respectively
This hypotenuse is calculated using the following Pythagoras theorem
h^2 = 4^2 + 1^2h
2
=4
2
+1
2
This gives
$$h = \sqrt{[17$$
See that the hypotenuse is the square root of 17
Hence, the right triangle whose legs are 1 inch and 4 inches has an hypotenuse of √17
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Write each of the following events as a set and compute its probabilityThe event that the sum of the numbers showing face up is at least 9.
Answers
The probability of the sum of the numbers showing face up being at least 9 is 5/18.
To compute the probability of the event that the sum of the numbers showing face up is at least 9, we first need to identify the possible outcomes and then calculate the probability.
Assuming you are referring to the roll of two standard six-sided dice, we will first write the event as a set. The event that the sum of the numbers showing face up is at least 9 can be represented as:
E = {(3,6), (4,5), (4,6), (5,4), (5,5), (5,6), (6,3), (6,4), (6,5), (6,6)}
Now, we can compute the probability. There are 36 possible outcomes when rolling two six-sided dice (6 sides on the first die multiplied by 6 sides on the second die). In our event set E, there are 10 outcomes where the sum is at least 9. Therefore, the probability of this event can be calculated as:
P(E) = (Number of outcomes in event E) / (Total possible outcomes) = 10 / 36 = 5/18
So, the probability of the sum of the numbers showing face up being at least 9 is 5/18.
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Lola is in a hot air balloon that has just taken off and is now floating 7 meters above its launching point. Julian is standing on the ground, 6 meters away from the launching point. How far apart are Lola and Julian? If necessary, round to the nearest tenth.
Answers
```
* Lola
|
| *
| 7 m
|
|
|
|
* Julian
6 m
```
The distance between Lola and Julian is the hypotenuse of a right triangle, with one leg being 7 meters (the height of the balloon) and the other leg being 6 meters (the distance between Julian and the launching point).
Using the Pythagorean theorem, we have:
```
distance^2 = 6^2 + 7^2
distance^2 = 36 + 49
distance^2 = 85
distance = sqrt(85)
distance ≈ 9.2 meters
```
Therefore, Lola and Julian are approximately 9.2 meters apart.
helppppppppppp me pleaseeee
Answers
In the following figure, BA≅CA, and D is on BC
Answers
If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.
What is the missing length of the triangle?
We are given a triangle with the condition that BA ≅ CA. This means that side BA has a length equal to that of side CA.
Now, an Isosceles triangle is defined as a triangle that has at least two sides of equal length. This means that the given triangle ABC is an Isosceles triangle.
Now, since Triangle ABC is an Isosceles triangle, it means that when we draw a perpendicular line through the point joining the two equal sides, it bisects the third side of the triangle.
Thus, it means that BD is congruent to CD.
If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.
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Anna bought 6 bags of candy for a total of 19.68. Write an equation and solve to figure out how much each bag cost.
Answers
Answer:
The answer is $3.31.
Step-by-step explanation: Just divide 6 by 19.68
The graph below shows the height of a
flower based on the number of weeks since it
was planted. What is the linear equation
representing this situation?
A. y = -x + 2
B. y = x + 2
C. y = 1/2x + 2
D. y = 2x + 2
Answers
Answer:
B. y=x+2
Step-by-step explanation:
the lines goes up by 1 for the x-intercept so you don't have to write 1x you can just write it as x
and the y intercept is at (0,2) so it would be +2
At your child's birth, you begin contributing monthly to a college fund. The fund pays an APR of 4.1% compounded monthly. You figure your child will need $40,000 at age 18 to begin college. What monthly deposit is required? (Round your answer to the nearest cent.)
Answers
Answer:
91
Step-by-step explanation:
Answer:
la reponse a la question et 91
Find x 14, 12, 15, x
Answers
Answer: 15.4
Step-by-step explanation:
12(12 + 26) = 15(15 + x)
144 + 312 = 225 + 15x
456 = 225 + 15x
456 - 225 = 15x
231 = 15x
231/15 = x
x = 15.4
If 5 pencils cost m cents, at this rate how many pencils can be bought for n dollars?
Answers
The number of pencils that can be bought for n dollars at the rate of m cents for 5 pencils is 500n / m.
How many pencils can be bought for n dollars?We can use the unitary method to solve this problem.
First, we need to find the cost of one pencil, which can be calculated as:
Cost of 1 pencil = Cost of 5 pencils / 5 = m/5 cents
Next, we need to convert the amount given in dollars to cents, since we have the cost of one pencil in cents.
We can do this by multiplying n dollars by 100, which gives us:
n dollars * 100 = 100n cents
Now, we can find the number of pencils that can be bought for n dollars as follows:
Number of pencils = Total cost / Cost of 1 pencil
Number of pencils = 100n / (m/5)
Number of pencils = 100n * 5/m
Number of pencils = 500n / m
Therefore, the number of pencils that can be bought for n dollars at the rate of m cents for 5 pencils is 500n / m.
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If you get this please help me
Answers
Dude I am so sorry but I'm just as confused as you are-
Answer:
36 in.
Step-by-step explanation:
the perimeter of the square is 4s and the perimeter of the triangle is 3(s+3).
since the perimeters are the same you can set them equal to each other and solve.
you should get s=9
substitute 9 into the square perimeter equation to get 36 in.
Does this set of ordered pairs form a function?
{(60, reading), (62, camping), (64, skiing), (65, hiking), (66, hiking), (67, camping), (69, reading), (70, reading), (71, camping), (73, swimming), (74, camping)}
A. yes
B. no
Answers
Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:
A. yes.
When does a relation represent a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
The input is a number.The output is an activity.There are no repeated inputs, hence the relation is a function and option A is correct.
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Is 126 divisible by 3
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
126/3 = 42
Genevieve is 3 years older than twice her brother’s age. Genevieve is 21 years old. Write an equation to find her brother’s age.
Write the equation again and now solve to tell me how old her brother is. Please tell me how you know.
Answers
Answer:
her brother is 9
Step-by-step explanation:
21-3=18 18 divided by 2 = 9
Answer:
Genevieve's brother is 9 years old
Step-by-step explanation:
The equation (Genevieve "G", the brother "B")
\(G=2B+3\)
\(21=2B+3\)
\(21-3=2B\)
\(18=2B\)
\(\frac{18}{2} =B\)
\(9=B\)
Hope this helps
guys this is a test grade please help and show how you got it
Answers
Answer:
The answer is 21
Step-by-step explanation:
Let your number be x so the equation would be
x-8=34-x
2x=42 divide by 2
x=21
brainllist plz
Please answer this question asap
Answers
The values of A, B and C of the given quadratic equation area;
A = -3
B = -2
C = 2
How to find the range of the quadratic equation?The domain of a function is the set of all input values for which the function is possible while the range is defined as the set of output values for which the function has given domains.
Now, we are given the quadratic function as:
y = 2x³ - 3x² - 2
At x = 1, we ahve:
A = 2(1)³ - 3(1)² - 2
A = -3
At x = 0, we have:
B = 2(0)³ - 3(0)² - 2
B = -2
At x = 2, we have:
C = 2(2)³ - 3(2)² - 2
C = 2
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Solve these problems.
Answers
The area of the triangles in the picture are
1. 17.5 square units
2. 5 square units
3. 10 square units
How to find the area of the trianglesThe formula for area of triangles is given by
= 1/2 * base * height
1.
base = 5
height = 7
= 1/2 * 5 * 7
= 17.5 square units
2.
base = 5
height = 2.1
= 1/2 * 5 * 2.1
= 5.25 square units
3.
base = 4
height = 4
= 1/2 * 4 * 5
= 10 square units
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Suppose the market is competitive. Sketch the supply and demand and state the equilibrium quantity.
Suppose the market is competitive. Sketch the supply and demand and state the equilibrium quantity. 1.) Using the multipoint drawing tool, graph the market demand from the four hospitals. Label your line 'Demand'. (Use the "Esc" key after you have placed your last point to exit the drawing tool.) 2.) Using the multipoint drawing tool, graph the market supply of the four producers. Label your line 'Supply'. (Use the "Esc" key after you have placed your last point to exit the drawing tool.) The equilibrium quantity of ventilators sold is units. Carefully follow the instructions above and only draw the required pbjects.
Answers
In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.
To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.
Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.
The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.
By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.
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What is another term that accountants use that means the same as "cost recovery"? 3. Why for every class of asset does the table list one additional year? For example, there are six years listed for 5-year property classes. 4. What are examples of assets that fall into the 5-year class? This and following questions relate to your basic understanding of non-tax depreciation from financial accounting. 5. If you bought an asset for $100 with a 5-year life and no residual value, how much would you depreciate each year under straight-line? 6. If you bought an asset for $100 with a 5-year live with no residual value, how much would you depreciate in years 1 through 5 under double-declining balance. Do not use the tables below. Round to nearest penny, and ensure that total is $100. Year 1 2 5
Answers
Another term that accountants use to refer to "cost recovery" is "cost reimbursement."
What is the alternative term for "cost recovery" used by accountants?In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.
Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.
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A line passes through (1, 3) and (4, 7). Which line would be perpendicular to this line?
a) y=-x+5
b) y=-x-2
c) y= 4x + 2
d) y=-4x-4
Answers
Answer: Any line with slope of -3/4
Reason:
Let's calculate the slope of the line through those two points
\((x_1,y_1) = (1,3) \text{ and } (x_2,y_2) = (4,7)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{7 - 3}{4 - 1}\\\\m = \frac{4}{3}\\\\\)
The slope of the line is 4/3
Anything perpendicular to this has a slope of -3/4. I flipped the fraction and flipped the sign (from positive to negative).
So for example, the answer may be something like \(y = -\frac{3}{4}x+5\) or \(y = -\frac{3}{4}x-2\). All that matters is the -3/4 out front of the x.
Side note: the original slope 4/3 and perpendicular slope -3/4 multiply to -1
hi how are you today can you please help me with this question
Answers
If:
\(\frac{a}{b}=\frac{c}{d}=\frac{e}{f}=\frac{a+c+e}{b+d+f}\)so:
\(\begin{gathered} 15\colon9\colon4 \\ \frac{15}{1}=\frac{9}{1}=\frac{4}{1}=\frac{15+9+4}{3}=\frac{28}{3} \end{gathered}\)\(\begin{gathered} \frac{3}{x}=\frac{28}{3} \\ x=\frac{9}{28} \end{gathered}\)Or:
0.32 liters
(b)
We need to find the volume of the rectangular prism, therefore:
\(\begin{gathered} V=l\cdot w\cdot h \\ V=40\cdot20\cdot35 \\ V=28000cm^3 \end{gathered}\)However, we need to express the volume in liters, so:
\(28000cm^3\times\frac{1L}{1000cm^3}=28L\)Since we need to know the amount of mango juice:
\(28\cdot\frac{2}{5}=11.2L\)