Answer:
25 cents
or
.25 of a dollar (1.00)
Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum number of refills that you can get? refills
A scuba diver was swiming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the diffrence between these two elevations.
The difference in elevations between a scuba diver at -8 meters and a shark at -29 meters is calculated as: -8 - (-29) = 21 meters.
Explanation:The subject in question involves finding the difference in elevations. In this context, the scuba diver is swimming at an elevation of -8 meters, and the shark is at -29 meters. To find the difference, we subtract the lower number (-8) from the higher number (-29).
However, due to the negative signs, the difference will be calculated as follows: -8 - (-29) = -8 + 29 = 21 meters. Therefore, the difference in elevations between the shark and the scuba diver is 21 meters.
Learn more about Difference in Elevations here:https://brainly.com/question/23667314
#SPJ2
Solve using elimination
2x+3y=12
-4x-6y=-24
[tex]\left\{\begin{array}{ccc}2x+3y=12&|\text{multiply both sides by 2}\\-4x-6y=-24\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x+6y=24\\-4x-6y=-24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=0\qquad TRUE\\\\2x+3y=12\qquad\text{subtract 2x from both sides}\\\\3y=12-2x\qquad\text{divide both sides by 3}\\\\y=4-\dfrac{2}{3}x\\\\Answer:\ \text{It's the dependent system of equations}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=4-\dfrac{2}{3}x\end{array}\right[/tex]
Solving the system using elimination reveals that the two equations are dependent, resulting in infinitely many solutions since they represent the same line. There is no unique solution for x and y.
To solve the system of equations 2x + 3y = 12 and -4x - 6y = -24 using the elimination method, we aim to eliminate one variable by combining the equations. First, notice that the second equation is exactly -2 times the first equation. If we multiply the first equation by 2, we would have identical left-hand sides but with opposite signs, which would cancel out when added together.
Multiplying the first equation by 2 gives 4x + 6y = 24. Now, add this new equation to the second equation:
4x + 6y = 24-4x - 6y = -24Adding them results in 0 = 0, which indicates that the two equations are dependent, and the system has infinitely many solutions. This is because each equation is a multiple of the other, and they both represent the same line. Therefore, we cannot isolate x or y to find a unique solution. The system is consistent and dependent.
Me. Ellis is a teacher who tutors after school. Of the students he tutors, 30% need help in computer science and 70% need assistance in math. Of the students who need help, 40% are enrolled in Mr. Ellis's class during the school day. Of the students that need help in math, 25% are enrolled in his class during the day. What percent of the after school students are enrolled in Mr. Ellis's classes?
Answer: There are 82.5% after school students who are enrolled in his classes.
Step-by-step explanation:
Let the total number of students be 100
Percentage of students who need help in computer science = 30%
So, number of students who need help in computer science = 30
Percentage of students who need help in maths = 70%
So, number of students who need assistance in maths = 70
Of the students who need help,
40% are enrolled in Mr. Ellis's class during the school day,
So, it means 60% are enrolled in his class after the school day.
Number of students who are enrolled in his class after the school day = 60
Number of students who need help in Maths is given by
[tex]\frac{70}{100}\times 60=42[/tex]
Of the students that need help in maths, percent of students are enrolled in his class during the day = 25%
So, number of students who need help in maths and enrolled in his class after school hours
[tex]\frac{75}{100}\times 42=31.5[/tex]
Number of students who need help in computer science and enrolled in his class after school hours
[tex]\frac{30}{100}\times 60=18[/tex]
Therefore, there are [tex]31.5+18=49.5[/tex] students who joined his class after school hours,
Percentage of the after students who are enrolled in Mr. Ellis's classes is given by
[tex]\frac{49.5}{60}\times 100=82.5\%[/tex]
Hence, there are 82.5% after school students who are enrolled in his classes.
29.5% of the after-school students are enrolled in Mr. Ellis's classes.
1. Calculate the percentage of students who need help in computer science and are enrolled in his class:
- 30% of the students need help in computer science.
- 40% of those students are enrolled in his class during the school day.
[tex]\[ \text{Percentage of students needing help in computer science and enrolled in his class} = 30\% \times 40\% = 0.3 \times 0.4 = 0.12 = 12\% \][/tex]
2. Calculate the percentage of students who need help in math and are enrolled in his class:
- 70% of the students need help in math.
- 25% of those students are enrolled in his class during the school day.
[tex]\[ \text{Percentage of students needing help in math and enrolled in his class} = 70\% \times 25\% = 0.7 \times 0.25 = 0.175 = 17.5\% \][/tex]
3. Combine the two percentages to find the total percentage of after-school students enrolled in his classes:
- 12% of the total students are those who need help in computer science and are in his class.
- 17.5% of the total students are those who need help in math and are in his class.
Thus, the total percentage of after-school students enrolled in Mr. Ellis's classes is:
[tex]\[12\% + 17.5\% = 29.5\%\][/tex]
You mix 3 and one half quarts of juice with 5 and one fourth quarts of ginger ale to make fruit punch. What is the ratio of the amount of juice to the amount of ginger ale in simplest form?
Answer:
1.5:2.25 because there is 1.5 quarts of juice and 2.25 quarts of ginger ale and the you put that with the to sign and there you have it
WRITE THE EQUATION BELOW IN SLOPE-INTERCEPT FORM;
14x=6Y-12
The sllope-intercept form:
[tex]y=mx+b[/tex]
[tex]6y-12=14x[/tex] add 12 to both sides
[tex]6y=14x+12[/tex] divide both sides by 6
[tex]y=\dfrac{14}{6}x+\dfrac{12}{6}\\\\\boxed{y=\dfrac{7}{3}x+2}[/tex]
To change the equation 14x=6Y-12 into slope-intercept form, first isolate Y by adding 12 to both sides, then dividing by 6. This results in the equation Y = (7/3)x + 2.
Explanation:The equation provided is 14x=6Y-12 and we need to transform it to slope-intercept form, which has a general format of y = mx + b, where m is the slope and b represents the y-intercept.
Let's start by isolating y in the equation:
Add 12 to both sides to get rid of -12 beside 6Y. This gives us 14x + 12 = 6Y.Next, divide every term by 6 to solve for Y, we get: (14/6)x + 12/6 = YSimplify the fractions and write Y in proper spatial order :Y = (7/3)x + 2So, the slope-intercept form of the given equation is Y = (7/3)x + 2.
Learn more about Slope-Intercept Form
https://brainly.com/question/11990185
#SPJ3
Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1
[tex]\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.[/tex]
evaluate the expression a + b for a=24 and b=13
Answer:
37
Step-by-step explanation:
a + b for a=24 and b=13
plug in
24 + 13
= 37
Answer:
a + b = 37
Step-by-step explanation:
substitute the values a = 24 and b = 13 into the expression
a + b = 24 + 13 = 37
Is this true or false? The following graph represents a proportional relationship:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, and 10. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 2, 6 and 4, 12 and 6, 18 and 8, 27. These points are connected by a line. The label on the x axis is Bunches of Thyme. The title on the y axis is Price of Bunches. sorry i dont know how to put pictures in
True
False
Answer:
False that the answer
Proportional relationships occur when the ratio between two quantities is constant. The provided details of the graph suggest a proportional relationship, but there could be an error— the point (8,27) doesn't follow the same ratio. Please double-check this point.
Explanation:Based on the provided details of the graph, we can infer that we have a proportional relationship, which exists when the ratio of the values of two quantities always remains the same. For example, in the graph, every two 'Bunches of Thyme' corresponds to a $6 increase in the 'Price of Bunches'. This constant ratio (1 bunch: $3) is characteristic of a proportional relationship.
So, the graph indeed represents a proportional relationship. The coordinates of the points (2, 6), (4, 12), (6, 18), and (8, 24), etc., fit the pattern y = 3x, which is another typical sign of a proportional relationship along the axis.
But it looks like there might be a mistake in your graph details because the point (8,27) doesn't fit the pattern y=3x. For x = 8, y should be 24 instead of 27. If that's not a typo, the graph doesn't represent a proportional relationship.
Learn more about Proportional Relationship here:https://brainly.com/question/34138295
#SPJ12
find two irrational numbers between 0.3 and 0.7?
Answer:
0.3101001000......
0.410100100010000....
Step-by-step explanation:
To find irrational number between any two numbers, we first need to understand what a rational and irrational number is.
Rational number is any number that can be expressed in fraction of form [tex]p/q[/tex]. Since q can be 1, all numbers that terminate are rational numbers. Example: 1, 12.34, 123.66663
Irrational number on the other hand can't be expressed as a fraction and do not terminate. Also, there is no pattern in numbers i.e. there is no repetition in numbers after the decimal point.
For example: 3.44444..... can be expressed as rational number 3.45.
But 3.414114111.... is an irrational number as there no pattern observed. Also,it does not terminate.
We can find infinite number of irrational numbers in between two rational numbers.
Irrational numbers in between 0.3 and 0.7:
0.3101001000......
0.410100100010000....
0.51010010001.......
0.6101001000....
There are many others. We can choose any two as answers.
Write a rule to describe the function shown.
x y
−3 9
−1 3
0 0
3 −9
y = 3x
y = −3x
y equals start fraction one over three end fraction x
y equals negative start fraction one over three end fraction x
Answer:
y = -3x
Step-by-step explanation:
(a) Slope
y = mx + b
Choose points (-3, 9) and (3, -9)
m = (-9 - 9)/(3 – (-3))
m = -18/(3 + 3)
m = -18/6
m = -3
=====
(b) y-intercept
y = mx +b
Choose point (0,0).
0 = 0 + b
b = 0
=====
(c) Equation of line
y = mx + b
y = -3x
Order the numbers least to greatest 73/100, 2/5, 1/10
Final answer:
To order the given fractions from least to greatest: 73/100, 2/5, 1/10, convert them to decimals and arrange them in increasing order: 0.1, 0.4, 0.73.
Explanation:
To order the numbers least to greatest, we compare their values. Let's convert these fractions to decimals first:
73/100 = 0.732/5 = 0.41/10 = 0.1Now that we have the decimals, we can arrange them from least to greatest:
0.10.40.73A farm has 75 acres of wheat . The farmer can harvest the wheat from 12 acres per day.inhow many days will all of the fields be harvested?
Answer:
i wanna say 7 days
Step-by-step explanation:
75/12 = 6.25 round up to 7
Answer:
y=12x+75
X=75/12
X=6.25
Answer will be 7
Step-by-step explanation = x=75/12= x 6.25 = technically it’s will be 7 days
Jamie has a jar of coins containing the same number of nickels, dimes and quarters. The total value of the coins in the jar is $13.20. How many nickels does Jamie have?
Answer: 33
5x+10x+25x= 1320 or 40x= 1320
Jamie has 33 nickels.
Explanation:To find out how many nickels Jamie has, we need to set up an equation.
Let's assume Jamie has x nickels. Since Jamie has an equal number of nickels, dimes, and quarters, he also has x dimes and x quarters.
The value of x nickels is 5x cents, the value of x dimes is 10x cents, and the value of x quarters is 25x cents.
According to the problem, the total value of all the coins is $13.20, which is equal to 1320 cents.
So we can write the equation as follows: 5x + 10x + 25x = 1320.
Combining like terms, we get 40x = 1320. Dividing both sides by 40, we find that x = 33.
Therefore, Jamie has 33 nickels.
Learn more about Coins here:https://brainly.com/question/11847211
#SPJ2
Lisa descended 120 feet into a cave. She then climbed up 56 feet. If her starting point was 38 feet below sea level at the mouth of the cave, what is Lisa's elevation relative to sea level now?
A) −102 feet
B) −94 feet
C) −82 feet
D) −64 feet
A) -102 feet
She started at -38 feet. She then went -120 feet, so -38-120= -158. She then went +56 feet. -158+56=-102.
Answer:
The answer is A. -102
Step-by-step explanation:
If she started at 38 feet below sea level, we would describe it as -38. If she descended 120 feet deeper, than we subtract that from -38.
-38-120=-158
She is now 158 feet below sea level, or -158.
Then, if she climbs up 56 feet, we would add that to -158.
-158+56=-102
Solve the equation 22=2p -2
Answer:
p = 12
Step-by-step explanation:
add 2 to both sides of the equation
24 = 2p ( divide both sides by 2 )
p = 12
Answer: p=2
Step-by-step explanation:
22=2p-2
You add two to 22 which will give you 24
24=2p
You want to divide the 2 to get the letter by itself
12=2
Kyle got in the elevator on the 7th floor. He rode up 2 floors and then down 5 floors. Which expression represents the floor Kyle is on now?
Answer:
7+2-5=f
Step-by-step explanation:
If he starts on the 7 floor, then he is seven above ground, and that would clarify as a positive number. He then goes up 2 floors, which means we would add 2 to the original number. Going down five would mean we would subtract, because he is getting closer to zero, which is ground level. F represents the floor he is on now.
Hope this helps! (Brainliest please!)
answer
4th floor
Step-by-step explanation:
7+2-5=4
In 2000 the number of students enrolled at Arlington County day school was 823 students in 2010 the population was approximately 705 students find the percent of change in the enroll students at Arlington County day school from 2000 to 2010 in identify it as an increase or decrease
Answer:
enrollment decreases by 14.34%.
Step-by-step explanation:
Given that number of students enrolled in 2000 = 823
Given that number of students enrolled in 2010 = 705
705 is less than 823 so that means number of students enrollment is decreasing.
Decrease = 823-705 = 118
Percent decrease is given by formula:
[tex]Percent =\frac{part}{whole}\cdot100 =\frac{118}{823}\cdot100= 14.3377885784[/tex]
which is approx 14.34%.
Hence final answer is that enrollment decreases by 14.34%
is (1,9) a solution to the inequality y>6x+3
Put the coordinates of the point (1, 9) to the inequality y > 6x + 3:
9 > 6(1) + 3
9 > 6 + 3
9 > 9 FALSE
Answer: It's not a solution.describe and correct the error in finding the product
2/5×3/10=6/50=3/25
Answer: There is not error in finding the product. The result is: [tex]=\frac{3}{25}[/tex]
Step-by-step explanation:
1. You have the following multiplication shown in the problem above:
[tex]\frac{2}{5}*\frac{3}{10}[/tex]
2. To solve it you must multiply the numerators and multiply the denominators, as you can see below:
[tex]\frac{2*3}{5*10}=\frac{6}{50}[/tex]
3. When you simplify the product, you obtain the following result:
[tex]=\frac{3}{25}[/tex]
ll the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. a How many hours would this job take if the number of workers decreased by factor of 2?
Answer:
44 hours
Step-by-step explanation:
Decreasing the people by a factor of 2 means we have 3 people
The job takes 6* 22 = 132 people hours
When we decrease the people, it will take more hours
132 people hours = 3 people * t hours
Divide each side by 3
132/3 = 3t/3
44 = t
It will take 44 hours
You have to order fencing for a 25-acre, rectangular field. One side of the field measures exactly ¼ mile. How many yards of fencing will you need to enclose the field completely?
Answer:
1430 yards
Step-by-step explanation:
Note that [tex]1\text{ acre}=\dfrac{1}{640}\text{ square mile}.[/tex] Then
[tex]25\text{ acres}=\dfrac{25}{640}\text{ square mile}.[/tex]
If one side of the restangular field measures exactly [tex]\dfrac{1}{4}[/tex] mile, then let the second side be x miles and
[tex]\dfrac{25}{640}=\dfrac{1}{4}\cdot x,\\ \\x=\dfrac{\frac{25}{640}}{\frac{1}{4}}=\dfrac{25}{640}\cdot \dfrac{4}{1}=\dfrac{25}{160}=\dfrac{5}{32}\ mile.[/tex]
The perimeter of the rectangle will be
[tex]P=2\cdot \dfrac{1}{4}+2\cdot \dfrac{5}{32}=\dfrac{2\cdot 8+10}{32}=\dfrac{26}{32}=\dfrac{13}{16}\ mile.[/tex]
Since [tex]1\ mile=1760\ yards,[/tex] then [tex]\dfrac{13}{16}\ mile=\dfrac{13}{16}\cdot 1760=1430\ yards.[/tex]
To fence a 25-acre rectangular field with one side 1430 yards of fencing is needed.
To order fencing for a 25-acre, rectangular field, with one side measuring exactly 1/4 mile, we first need to determine the field's dimensions. Since a mile equals 1760 yards, one side of the field is
1/4 x 1760 = 440 yards.
Now, to find the other side, we use the area formula (Area = length x width).
The field is 25 acres, and 1 acre equals 4840 square yards. So the field has an area of 25 x 4840 square yards.
Let's denote the unknown side as 'width':
= 25 x 4840 = 440 x width
Width = 25 x 4840/ 440
= 275 yards
Now that we have both the length and the width, we can find the perimeter, which is the total length of fencing needed. The perimeter of a rectangle is 2 x (length + width).
Perimeter = 2 x (440 + 275) = 2 x 715
= 1430 yards
Therefore, to enclose the field completely, you would need 1430 yards of fencing.
(8/9)^-2 without an exponent
Answer:
81/64 or 1 17/64
Step-by-step explanation:
A negative exponent means to flip the fraction
(8/9) ^-2
(9/8)^2
81/64
Changing this to a mixed number
1 17/64
Worth: 10 points
Note: Please help! Got only a few minutes left.
what is a piecewise function
Answer:
is a function that is defined on a sequence of intervals
Step-by-step explanation:
next time please just search it up on google.
Answer:
A piecewise function has different rules for different parts of its domain. The following situation can be modeled by a piecewise function.
Step-by-step explanation:
The length of a rectangle is (x+5) inches long, and the width is 3 2/5 inches. if the area is 51 square inches. Write and solve an equation to find the length of the rectangle.
Answer:
15
Step-by-step explanation:
l x w = area
(x + 5) (3.4) = 51
x+5=15
x=10
plug back into the equation for length
(10+5) = 15
Which graph shows a dilation of a rectangle with the scale factor of 8/3
Answer:
Step-by-step explanation:
Rules for Dilations. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image)
Answer:
D
Step-by-step explanation:
George does not like the fact that his neighborhood makes it mandatory to pay a yearly fee to use the pool. He conducts a survey of all the neighborhood families to help support his case that the yearly fee should be voluntary. The survey asks questions about pool usage and financial statistics of the families. Is this a valid survey? Why or why not?
A) No, George should only survey families that support his view.
B) No, George should attach information about why the fee should be voluntary.
C) Yes, since George is trying to convince the board to change the requirement he needs results to support his opinion.
D) Yes, since George is surveying all of the families in his neighborhood he is getting the opinions of the entire population.
Answer:
I would pick the letter C
Step-by-step explanation:
What is the APY of a savings account with an APR of 3.9886% and compounded quarterly.
Answer:
The APY of the saving account is 4.048656%
Step-by-step explanation:
We know the formula for APY which is given by
[tex]APY=(1+\frac{r}{n} )^n-1[/tex]
here, r= interset rate = 3.9886% = 0.039886
n = compounding cycles = 4
On plugging these values in the above formula, we get
[tex]APY=(1+\frac{ 0.039886}{4} )^4-1[/tex]
On simplifying this we get
APY = 0.04048656 =4.048656%
Answer:
APY = 4.0486561%
Step-by-step explanation:
Given is the Annual Percentage Rate (APR) = 3.9886% compounded quarterly.
Suppose Principal amount, P = $1.
time, t = 1 year.
interest rate, r = 3.9886% = 0.039886
period of compounding, n = 4 (for quarterly).
Future value = P * (1 + r/n)^(nt)
FV = 1 * (1 + 0.039886/4)^(1*4) = 1.040486561
Annual Percentage Growth = (FV/P)*100 = (1.040486561 / 1) * 100 = 4.0486561%
Hence, Annual Percentage Yield (APY) = 4.0486561%
The ratio of boys to girls in a tennis camp is 3:5. If there are 64 campers, how many are girls?
Answer:
There are 40 girls and 24 boys in the camp
Step-by-step explanation:
let [tex]b[/tex] be the number of boys and [tex]g[/tex] be the number of girls in the camp, then when know that
[tex]\dfrac{b}{g} = \dfrac{3}{5}[/tex] (this says that the ratio of boys to girls is 3: 5)
And since there are a total of 64 campers, we have
[tex]b+g =64[/tex] (this says that the total number of boys an girls must 64)
Thus, we have two equations and two unknowns:
[tex](1). \: \: \dfrac{b}{g} = \dfrac{3}{5}[/tex]
[tex](2). \: \:b+g =64[/tex]
and we solve this system by first solving for [tex]b[/tex] in equation (1):
[tex]b= \dfrac{3}{5}g,[/tex]
and substituting it into equation (2):
[tex]\dfrac{3}{5}g+g=64[/tex]
solving for [tex]g[/tex] we get:
[tex]\boxed{g=40}[/tex].
Putting [tex]g=40[/tex] into equation (2), we solve for [tex]b[/tex] to get:
[tex]b+40=64[/tex]
[tex]\boxed{b=24}[/tex]
Thus, there are 40 girls and 24 boys in the camp.