Answer:
Option B: This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda.
Step-by-step explanation:
Maximization of utility of the goods given is defined as the satisfaction or benefit La Toya derived based on the amount of money she spent on the corn chips and bottles of soda.
Now, for us to know if she is maximizing utility, we need to know the price of the goods and also if she spent all the money she allocated for the corn chips and bottle of soda. This would in turn help us to know how she spent her money and if the expenses she made was most beneficial to her.
Thus, the correct answer is Option B
Last month, 349 books were checked out from the school library. This month, 273 books were checked out. Find the Percent of Change from Last Month to This Month.
Answer:
76
Step-by-step explanation:
Answer:
76 is the answer
In 25.5 minutes, Shaun can run 3 miles. How far can he run in 30 minutes?
Answer:
28.8 miles
Step-by-step explanation:
Answer:
28.8. hdhrhdndndndndhux
The temperature is 8 degrees F. As a cold front moves in, the temperature drops 6 degrees F per hour. What is the temperature at the end of 3 hours
Answer:
-10 Degrees
Step-by-step explanation:
Determine the solution to the equation for x
Answer:
9/5
Step-by-step explanation:
because I know I pass the test
what graph passes the vertical line test?
Plz help!!!
8% of 5x10^7
Answer:2/5x to the power of 10000000
(8/100(5)) (x^10^7)
Probability of Next Candy
Fill in the chart below with the probability of choosing the next candy.
Answer: 8 just got it correct
Step-by-step explanation:
A student club started a fundraising effort to support animal rescue organizations. The club sent an information flyer home to the n students in the school. It says, "We welcome donations of any amount, including any change you could spare!" Their goal is to raise T dollars, and to donate to a cat shelter and a dog shelter. * 5
Answer:
B. 1/4T
Step-by-step explanation:
A student club started a fundraising effort to support animal rescue organizations. The club sent an information flyer home to the n students in the school. It says, "We welcome donations of any amount, including any change you could spare!" Their goal is to raise T dollars, and to donate to a cat shelter and a dog shelter.
What expression, equation, or inequality that describes The dollar amount the club would have if they reached one-fourth of their goal
A. 3/4n × 1/2
B. 1/4T
C. T - 1/4n
D. 1/4n
Their goal is to raise T dollars
The T dollars will be donated to a cat shelter and a dog shelter.
One - fourth = 1/4
Their goal =T
one-fourth of their goal
= 1/4 * T
= 1/4T
The correct answer is B. 1/4T
There are 4 circles and 8 squares. What is the simplest ratio of circles to total shapes?
Answer:
4 : 12
4/ 12
4 to 12
Step-by-step explanation:
1:3
Its this because u just simplify 4:12 by dividing both numbers by 4
Write an expression to represent:
Eight less than the product of 2 and a number z.
Ruth went out to eat with friends. She brought a $50 bill. She bought an appetizer for $8.50, an entree for $13.99, and desert for $6.50. She wants to leave a 20% tip for the good service she received. How much is the tip she will leave? Do not round your answer, but keep in mind that the smallest unit in our financial system is a penny which stops in the hundredths place. *
Answer:
$16.81
Step-by-step explanation:
$50.00 -$8.50 - $13.99 - $6.50 = $21.01
$21.01 * 0.20 = $4.20
$21.01 - $4.20 = $16.81
What is the GCF of 28t^2 + 14t?
Answer:
The GCF would be 14t.
Find the area of the shape shown in Figure 1 and type your answer into the box below in units squared.
Answer:
I think 52.5 units squared
Step-by-step explanation:
12*4=60/2=30.
5*9=45/2=22.5!
30+22.5=52.5
If h(x)=x-7 and g(x)=x ^2, which expression is equivalent to (g•h)(5)
x^3 ‐ 7x^2
Explanation:
x^2(x-7) = x^3 ‐ 7x^2
Lin ran ran 2 3/4 miles in 2/5 of an hour. Noah ran 8 2/3 miles in 4/3 of an hour.
1. How far would Lin and Noah run in 1 hour?
2. How long would it take Lin and Noah to run 1 mile at that rate?
3. Who ran faster, Noah or Lin and why?
Answer:
1. Lin 6 7/8 miles, Noah 6 1/2 miles
2. Lin will take 8 8/11 minutes while Noah will take 9 3/13 minutes
3. Lin ran faster because it took him less amount of time to cover same distance of 1 hour
Step-by-step explanation:
Here, we are told that Lina ran 2 3/4 miles in 2/5 of an hour while Noah ran 8 2/3 miles in 4/3 of an hour.
1. We want to know how far Noah will run in an hour
1 hour is 60 minutes;
So 4/3 of an hour is 4/3 * 60 = 80 minutes
thus;
if he ran 8 2/3 miles in 80 minutes
then he ran x miles in 1 hour(60 minutes)
8 2/3 is same as 26/3 miles
Thus;
26/3 * 60 = 80 * x
x = 26/3 * 60/80 = (26 * 20)/80 = 26/4 = 13/2 = 6 1/2 miles
Lin ran 2 3/4 miles in 2/5 hour (2/5 * 60 = 24 minutes)
2 3/4 miles took 24 minutes
x mile will take 60 minutes
60 * 2 3/4 = 24 * x
60 * 11/4 = 24x
165 = 24x
x = 165/24
x = 6 21/24 = 6 7/8 miles
Lin will run 6 7/8 miles in an hour
2. we want to know how long it will take both of them to run 1 mile
Lin ran 2 3/4 miles in 2/5 of an hour
meaning, he ran 2 3/4 in 2/5 * 60 = 24 minutes
2 3/4 miles was ran in 24 minutes
1 mile will take x minutes
1 * 24 = 2 3/4 * x
24 = 11/4 * x
x = 4 * 24/11 = 96/11 = 8 8/11 minutes
For Noah
6 1/2 miles was ran in 1 hour
1 mile will be ran in x hours
13/2 * x = 60 minutes * 1
x = (2 * 60)/13
x = 120/13
x = 9 3/13 minutes
c. Lin ran faster because he took the lesser amount of time to travel 1 mile
Answer:
1. Lin 6 7/8 miles, Noah 6 1/2 miles
2. Lin will take 8 8/11 minutes while Noah will take 9 3/13 minutes
3. Lin ran faster because it took him less amount of time to cover same distance of 1 hour
Step-by-step explanation:
Step-by-step explanation:
Here, we are told that Lina ran 2 3/4 miles in 2/5 of an hour while Noah ran 8 2/3 miles in 4/3 of an hour.
1. We want to know how far Noah will run in an hour
1 hour is 60 minutes;
So 4/3 of an hour is 4/3 * 60 = 80 minutes
thus;
if he ran 8 2/3 miles in 80 minutes
then he ran x miles in 1 hour(60 minutes)
8 2/3 is same as 26/3 miles
Thus;
26/3 * 60 = 80 * x
x = 26/3 * 60/80 = (26 * 20)/80 = 26/4 = 13/2 = 6 1/2 miles
Lin ran 2 3/4 miles in 2/5 hour (2/5 * 60 = 24 minutes)
2 3/4 miles took 24 minutes
x mile will take 60 minutes
60 * 2 3/4 = 24 * x
60 * 11/4 = 24x
165 = 24x
x = 165/24
x = 6 21/24 = 6 7/8 miles
Lin will run 6 7/8 miles in an hour
2. we want to know how long it will take both of them to run 1 mile
Lin ran 2 3/4 miles in 2/5 of an hour
meaning, he ran 2 3/4 in 2/5 * 60 = 24 minutes
2 3/4 miles was ran in 24 minutes
1 mile will take x minutes
1 * 24 = 2 3/4 * x
24 = 11/4 * x
x = 4 * 24/11 = 96/11 = 8 8/11 minutes
For Noah
6 1/2 miles was ran in 1 hour
1 mile will be ran in x hours
13/2 * x = 60 minutes * 1
x = (2 * 60)/13
x = 120/13
x = 9 3/13 minutes
c. Lin ran faster because he took the lesser amount of time to travel 1 mile
(5 + 2) + 7 = 5 + (2 + 7) is an example of which property?
Answer:
The associative property
Step-by-step explanation:
With this property, you just "associate" the numbers with different numbers.
3. A function f(x) has a slope of -and passes through
the point (-3,7). Explain how the graph of f(x)
could be used to find the y-intercept.
Answer:
Well. this is kinda trivial.
For a function f(x) = y.
The y-intercept is defined as the point where the graph of f(x) intersects the x-axis.
This always happens at x = 0.
So the y-intercept is equal to f(0).
Now, if we have the graph of f(x), you simply can see at what value of y does the graph intersect the x-axis, and that will be the y-intercept.
A 30-cm ruler broke into two pieces. One piece was 120 mm long. How
long was the other piece? Express your answer in millimeters.
Answer: 180 mm
Step-by-step explanation:
1 cm = 10 mm
10 cm = 100 mm
30 cm = 300 mm
300 - 120 = 180
Hope this helps!
If a business receives an invoice for services purchased on account on December 1st for $8,000, how much should the business write a check for to pay the invoice in full on December 8th if the terms are 1/10, n/15?
Answer:
The amount that should be written on the check is $7920
Step-by-step explanation:
The explanation of the question is given as:
1/10 = 1% discount to be given if paid within 10 days
n/15 = full amount to be paid within 15 days.
From the question, we can see that:
If the check for the invoice is given on December 8th, it is still within the discount time of 10 days.
Discount amount = $8000 × 1%
= $80
$8000 - $80
= $7920
Hence, the amount that should be written on the check is $7920
HELPPP :((( !!!
find the mean and median for the following.
Answer:
mean = 6
median = 7
Step-by-step explanation:
mean: add all values and divide by the number of values
median: place all values in ascending order and choose the middle value; if there is an even number of values, the median is the mean of the two middle values.
There are 5 values: 7, 8, 8, 4, 3
a) mean
Add all values and divide by the number of values.
mean = (7 + 8 + 8 + 4 + 3)/5 = 30/5 = 6
mean = 6
b) median
Place values in ascending order.
3, 4, 7, 8, 8
The middle value is 7.
median = 7
Write 1.9 as a mixed number and an an improper fraction
Write your answer in simplest form
Answer:
Mixed number: 1 9/10
Improper fraction: 19/10
Use the graph to determine which one of the three statements is a lie.
1) The average rate of change between (0,4) is positive
2) The average rate of change between (-3,4) is negative
3) The average rate of change between (0,4) is 3/4
Answer:
2) The average rate of change between (-3,4) is negativeStep-by-step explanation:
The answer options
1) The average rate of change between (0,4) is positive
Correct. The function is increasing in same interval.2) The average rate of change between (-3,4) is negative
Incorrect. The average rate of change is zero in same interval3) The average rate of change between (0,4) is 3/4
Correct. (0-(-3))/(4-0) = 3/4Practice Problems
Find slope(m) and Y-intercept(b)
Make sure to write in standard form, y = mx + b for each
problem
1. y = 7x + 9
2. y=-5x-2
3. y = 3x + 1
Answer:
1. slope is 7 and y-intercept is 9
2.slope is -5 and y-intercept is -2
3. slope is 3 and y-intercept is 1
Step-by-step explanation:
The standard equation of a line in slope form is;
y=mx + b where m is the slope and b is the y intercept.
In question 1.
y=7x + 9
slope is 7 and y-intercept is 9
In question 2
y= -5x - 2
slope is -5 and y-intercept is -2
In question 3
y= 3x + 1
slope is 3 and y-intercept is 1
464.69605 rounded to 3 significant figures
Two numbers that are the same distance from 0 on a number line, but in opposite directions, are called opposites. The whole numbers and their opposites make up the set of integers.Opposites combine to make 0. For example, 3 and -3 are opposites.Jacob has saved $50. He spends $15 at the movies. Then, after paying for repairs to his bike, he has $0 remaining. How much did the bike repairs cost?1.What integer represents Jacob’s savings?2.What integer represents the change in Jacob’s savings after he spends money at the movies?3.The number line represents the change in Jacob’s savings after the movies. Use the number line to show Jacob’s change in savings after the bike repairs.4.What integer represents the change in Jacob’s savings due to the bike repairs? What integer represents the cost of the bike repairs?On the Back!5.On a winter’s morning, the temperature was 0°F. The temperature increased during the daytime. At night, the temperature decreased 6°F and returned to 0°F.
Answer: kindly check explanation
Step-by-step explanation:
Given the following :
Amount saved by Jacob = $50
Amount spent at the movies = $15
Amount left after paying for bike repair = $0
Cost of bike repair :
$50 - $15 = $35
What integer represents Jacob’s savings?
Initial amount before any spending
Jacob's saving = +$50
2.What integer represents the change in Jacob’s savings after he spends money at the movies?
Saved amount - amount spent at the movies
$50 - $15 = $35
No number line is given
What number is 30% of 20? Numerical Answers Expected! Answer for Blank 1:
Answer:
6 should be right!!
Answer:
30% of 20
(30÷100)20
6
therefore the ans is 6
Nana has a water purifier that filters \dfrac13 3 1 start fraction, 1, divided by, 3, end of the contaminants each hour. She used it to purify water that had \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t)C(t)C, left parenthesis, t, right parenthesis, ttt hours after Nana started purifying the water.
Answer:
(1/2) * (2/3)^t
Step-by-step explanation:
Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants.
Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.
C(t)=
The water purifier will filter 1/3 of the current contaminants each hour.
1/3 ÷ 1/2
= 1/3 × 2/1
= 2/3
This means, it willreduce the contaminant into 2/3 of it current mass
To derive the equation,
Multiply the contaminant with 2/3 every hour
(1/2) * (2/3)^t
Where t = hours
Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 points. In the last 4 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
At 4 innings left ;
Kim's team was losing by 17points to 6 points
Given that her team scored the same number of points per inning in the last 4 innings while the other team didn't score any point per inning.
Hence, Kim's team won eventually,
Let point earned per inning = p
Hence, the number of points scored per inning : would be ;
Initial point of Kim's team + (number of innings left * point per inning) > point of opposing team
6 + 4p > 17
4p > 17 - 6
4p > 11
p > 11/4
p > 2.75
Nearest whole number :
Kim's team scored 3 points per inning
A 25-foot flag pole casts a shadow of 40 feet. What is the approximate height from the top of the flag pole to the top of the shadow?
~45
~47
~65
Answer:
47 is the answer
Step-by-step explanation
Answer:
Hey its 47
Step-by-step explanation:
Good morning
Which of the following values are in the range of the function graphed below?
Check all that apply.
Answer: 2,3,1
Step-by-step explanation: