Katrina practices violin 4 times per week for 2/3 hour each time.Jeremy practices guitar for 3 times per week for 45 minutes each time.who practices more each week?how much more?
Katrina practices violin per week more than Jeremy by 25 minutes.
How is the practice time determined?The practice time can be determined by converting the fractional hours to minutes for each practice so that like is compared to like.
Converting 2/3 hours gives 40 minutes.
Ordinarily, Jeremy spends more time each time than Katrina. However, Katrina adds an additional practice time, which heightens her total practice time each week.
Data and Calculations:The number of times that Katrina practices per week = 4 times
The time she practices each time = 2/3 hours or 40 minutes (2/3 x 60)
The total time she practices each week = 160 minutes (40 x 4)
The number of times that Jeremy practices per week = 3 times
The time he practices each time = 45 minutes or 3/4 hours
The total time he practices each week = 135 minutes (45 x 3)
The difference in practice time per week = 25 minutes (160 - 135)
Katrina Jeremy
Number of practices times 4 3
Minutes practiced (2/3 hours) 40 min 45 minutes
Total practice time 160 min 135 min
Thus, we can conclude that Katrina practices violin per week more than Jeremy by 25 minutes.
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Find the equation of the line using the given information
the slope equals zero and it passes through the point (x,y) = (1, -4)
The equation of line which passes through (1, -4) and whose slope is 0 is y = -4.
According to the given question.
A line passes throught the point (1, -4) and its slope is 0.
Let the equation of the line be y = mx + b.
Where,
m is the slope of the line
and b is the y intercept.
Since, the line is passing through (1, -4) and slope is 0 i.e. m = 0.
Therefore, m = 0 and (x, y) = (1, -4) must statisfy y = mx + b.
-4 = 1(0) + b
⇒ -4 = b
⇒ b = -4
Therefore, the equation of line which passes through (1, -4) and whose slope is 0 is y = -4.
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michas savings account pays a simple annual interest rate of 2.25% suppose he deposits $6,000 in the account and makes no additional deposits or withdrawals for 4 years what will the total value of the account be after 4 years
The amount in the bank account at the end of 4 years will be = $6540
The amount deposited by Michas in the savings account = $6000
Interest rate = 2.25% annually
No. of years principal is invested = 4 years
Calculating the amount in the bank account after 4 years, using the formula:
Simple interest = P*R*T/100
where P = principal invested
R = rate of interest annually
T = number of years amount is invested
So, Simple interest on the principal invested for 4 years= 6000*2.25*4/100 = 540
The amount in the bank account at the end of 4 years will be = 540 + 6000 = $6540
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A ball is thrown from a height of 205 feet with an initial downward velocity of 11 ft/s. The ball's height h (in feet) after 1 seconds is given by the following.
h=205-111-161²
How long after the ball is thrown does it hit the ground?
By free fall motion, the ball will take a time of 3.252 seconds to hit the ground.
How much time does a ball take to hit the ground?
The ball experiments a free fall motion, that is an uniform accelerated motion due to gravity, in which effects from Earth's rotation and air viscosity are neglected. The height of the ball (h), in feet, is modelled by a quadratic equation:
h = 205 - 11 · t - 16 · t²
Where t is the time, in seconds.
If we know that h = 0 ft, then the time needed for the ball to hit the ground is:
205 - 11 · t - 16 · t² = 0
16 · t² + 11 · t - 205 = 0
16 · [t² + (11 / 16) · t - 205 / 16] = 0
16 · (t - 3.252) · (t + 3.940) = 0
For time is a whole number, only the first root offers a reasonable answer.
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Pls help ASAP!!
Which expression is equivalent to −3(4x + 3y)?
A: 3y(4x − 3)
B: 4x(−3 + 3y)
C: −12x + 3y
D: −12x − 9y
Answer:
d
Step-by-step explanation:
7) 6003-457 =
How to solve this equation and borrow
Answer:
6003-457= 5546
Step-by-step explanation:
because when is second 603 - 457 when you subtract 7 from 3 it can't be possible so here is very tools so we will say so you go and borrow one from the 6 today's 0 nearest sex making it 10 and you borrow long from the time we
tbh only answer if you are the user "beinggreat78" I dont trust the rest of yall
Answer:
hi ik you dont trust me however id like to say that the answer is A. 41.6
Step-by-step explanation:
hope this helps <3 (also i put this into a calculator to double check my work and it was still 41.6)
Answer:
41.6
Step-by-step explanation:
Move the decimal 1 place to the right according to the laws of exponents.
since the exponent is 1, that's why we move it 1 place right. if the exponent was -1, it would go to the left, and the number would become "0.416".
At the city museum, child admission is $5.50 and adult admission is $9.60. On Saturday, four times as many adult tickets as child tickets were sold, for a total
sales of $1141.40. How many child tickets were sold that day?
Number of child tickets:0
5
The number of child tickets sold that day were 26.
Here, we are given that the fees for admission into the museum is as follows-
Child admission = $5.50
Adult admission = $9.60
Let the number of children admitted on Saturday be x
then the number of adults admitted that day = 4x
Now, the total money from sale of children tickets = $5.50x
the total money from sale of adult tickets = $9.6 × 4x = $38.4x
The total money from sale of tickets = $1141.40
⇒ 5.50x + 38.4x = 1141.40
43.9x = 1141.40
x = 1141.40/ 43.9
x = 26
Thus, the number of child tickets sold that day were 26.
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14 less than the product of two and number 16
Answer:
18
Step-by-step explanation:
(2 x 16) - 14 = 32 - 14 = 18
At lunch, Noah buys two tacos for $2.35 each, chips and salsa for $1.85, and lemonade for $1.60. To pay for his meal, he uses $5.00 from a gift card he has, and then he pays for the rest with a $20.00 bill. Which equations show how much change Noah receives? Explain you answer I will mark you as the brainlyest
2.35(2)+1.85+1.60= $8.15 total before gift card
8.15-5.00= $3.15 because the gift card was $5
now you do
20.00-3.15 to get the total change which is $16.85
Thanks hope you see this susususususususususuusususususuusususus
If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hours would it take them working together?
Express your answer as a fraction reduced to lowest terms, if needed.
Rachel and her sister Fran together can paint the living room in [tex]\frac{10}{7}[/tex] hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint [tex]\frac{1}{5}[/tex]th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint [tex]\frac{1}{x}[/tex]th part of the living room in 1 hour
By proportions,
⇒[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{5}[/tex]= [tex]\frac{1}{x}[/tex] {using operation proportions and addition}
⇒[tex]\frac{7}{10}[/tex]=[tex]\frac{1}{x}[/tex]
⇒x=[tex]\frac{10}{7}[/tex]
⇒ together they can paint [tex]\frac{7}{10}[/tex]th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in [tex]\frac{10}{7}[/tex] hours
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Bob Ross bought a Blackberry on the Web for $90.49. He saw the same Blackberry in the mall for $120.21. How much did Bob save by buying on the Web?
Note: Round your answer to the nearest cent.
Answer:
$29.72
Step-by-step explanation:
$120.21-$90.49=$29.72
(2,-1)(-3,3) standard form
If a company decides to hire more employees, then its
a. total variable cost and total cost will increase, but its total fixed cost will not change.
b. total fixed cost will increase, its total variable cost will decrease, and thus its total cost will not change.
c. total cost will increase, and its total fixed cost and total variable cost will decrease.
d. total cost will increase and total fixed cost will decrease, thus its total variable cost will not change.
If a company decides to hire more employees, then its:(a).total variable cost and total cost will increase, but its total fixed cost will not change
What is the behavior of fixed and variable costs?
The fixed cost remains the same over a reasonable range of output whereas the variable cost is the cost that increases as output increases, such as the cost of raw materials, the more output produced, more materials would be needed.
In short, the variable increase would make the total cost, the sum of fixed cost and variable cost, to increase, so hiring more employees, would increase variable cost and total cost only.
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Residents of city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1748 no votes, what was the total number of votes
TASK CARD 17
Half of a number increased by six is
15. What is the number?
The number is 18
Let x be the number
Half of a number = x/2
Half of a number is increased by 6 = x/2 + 6
Half of a number increased by 6 is 15 = x/2 + 6 = 15
Algebra: The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.
Solving the equation we get:
= (x + 12)/2 = 15
= x + 12 = 30
x = 18
Hence, the number is 18
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What is the decimal form of the given fraction 48/100
Answer:
0,48
Step-by-step explanation:
whenever we convert a fraction to a decimal, it is easier to convert the denominator to a power of 10 and then move the comma the amt of zeros left of the number
3 in
←
4 in
**
2 in What is the area of the shape?
PLEASE PLEASE HELP!
Movies.
Your parents drop you off at the movies and you have $40 to spend. Admission to the movies costs you $14.50 and you buy a drink and popcorn for $7.75. You want to play a video game that costs $0.75.
1. Write a verbal inequality model that represents this situation.
2. Write an algebraic inequality model that represents this situation.
3. Show all work to solve the inequality.
4. Graph the inequality.
5. Describe the possible numbers of times you can play the same video game.
Answer:
3
Step-by-step explanation:
and the answer is 17
Answer:
1. The total cost of movie and the total cost of refreshments purchased and the total cost of video games played cannot exceed 40
2. 14.50 + 7.75x + 0.75y ≤ 40
3. y ≤ 34 - 10.333x
4. See attached graph
5.
one refreshment means you can play 23 times
two refreshments means you can play 13 times
three refreshments means you can play 3 times
Step-by-step explanation
We have to assume that you can see one movie but but buy multiple refreshments and play multiple video games. A refreshment is considered to be one drink and one popcorn.
If not we have a situation where we have three unknowns and it will be difficult to solve in a 2D context
1. Verbal inequality model
The total cost of one movie and the total cost of refreshments purchased and the total cost of video games played cannot exceed 40
2. Algebraic Inequality Model
Since the cost of a movie is 14.50 and you are seeing only 1 movie, the cost is 14.50(1) = 14.50
Assume you are going to buy x refreshments. Total cost of refreshments = 7.75x
Assume you are going to play y video games. Total cost of video games played = 0.75y
This cannot be greater than 40 i.e ≤ 40
So the algebraic inequality is
14.50 + 7.75x + 0.75y ≤ 40
3. Solving the inequality
Subtracting 14.50 from both sides we get
7.75x + 0.75y ≤ 25.50
Subtracting 14.50 from both sides we get
7.75x + 0.75y ≤ 25.50
Subtract 7.75x from both sides:
0.75y ≤ 25.50- 7.75x
Divide both sides by 0.75
y ≤ 25.50/0.75 - 7.75x/0.75
which is
y ≤ 34 - 10.333x
3. Graph of Inequality
This is an inequality in 2 variables and can be graphed.
See attached graph. The shaded portion represents the inequality
y ≤ 34 - 10.333x
Note that since neither x nor y can be < 0, we should not consider any portion of the shaded area which would mean two more constraints x ≥ 0 and y ≥ 0 but in this case I have stuck to only the above one inequality
5. Possible number of times you can play the same video game
Again we consider only 1 movie and multiple refreshments and video games
Using the inequality y ≤ 34 - 10.33x
If x = 1 refreshment,
y ≤ 34 - 10.33 x 1
y ≤ 23.67 or max 23 times you can play the video game max
If x = 2,
y ≤ 34 - 10.33 x 2
y ≤ 13.34 or maximum 13 times
If x = 3
y ≤ 34 - 30.99
y ≤ 3.01 or maximum 3 times
Find the slope-intercept form of the line with a slope of 2 and through (1,−7)
Answer:
y = 2x -9
Step-by-step explanation:
graph y=16-8x. .............
Answer: graph 'y=16-8x'
Step-by-step explanation:
First, alter the equation by making it a 'y=...' statement (y=-8x+16).
Secondly, plot your first point at positive 16.
Third, make sure that your slope is going down 8 from positive 16, so you plot your second point at positive 8, and move that second point to the right by 1.
Let me know if this helps!
The scatter plot shows the rental price versus area (in square feet) for 20
apartments that recently rented in an apartment complex.
The equation of the least squares regression line is given as:
Predicted Rental Price = 391+0.98· Area
Use the drop-down menus to complete the statements below about what this linear model tells you about the rental cost of apartments in the complex.
The linear model tells you about the rental cost of apartments in the complex that is $410.6
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = MX + c. Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
A linear equation is given as y = MX + b
where m is the rate of change, b is the initial value of y, and, x are variables.
Assume that y represents the monthly rental price and x represents the square footage.
Given the equation:
Predicted Rental Price = 391+0.98· Area
For the rental price versus area (in square feet) for 20 apartments.
Predicted Rental Price = 391+0.98· Area
Predicted Rental Price = 391 +0.98· (20)
= 410.6
The linear model tells you about the rental cost of apartments in the complex that is $410.6
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Write the first 5 terms
an= -2n-3
Answer:
qfgggghbvvcccvvv kknnbvvvvvvvvvvvbhg
Find the slope-intercept form of the line that is perpendicular to −2x+6y=−1 and passes through the point (−2,4)
The equation of line that is perpendicular to the given equation and passes through the given point is y = -3x - 2.
Given the equation of line and point;
−2x + 6y = −1(-2,4)First, find the slope intercept form ( y = mx + b )of the given equation to determine the slope.
−2x + 6y = −1
Solve for y
6y = 2x - 1
y = (2/6)x - 1/6
y = (1/3)x - 1/6
Hence, the slope m = 1/3
Now, the equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Slope of the perpendicular will be;
m_perpendicular = -3
Next, find the equation of the perpendicular line using the point slope formula y - y₁ = m( x - x₁ ).
Plug in the slope m = -3 and the point (-2,4).
y - y₁ = m( x - x₁ )
y - 4 = -3( x - (-2) )
y - 4 = -3( x + 2 )
y - 4 = -3x - 6
y = -3x - 6 + 4
y = -3x - 2
Therefore, the equation of line that is perpendicular to the given equation and passes through the given point is y = -3x - 2.
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in Zoe's class, 4/5 of the students have pets. Of the students who have pets, 5/8 have rodents. what fraction of the students in Zoe's class have pets that are rodents?
Answer:
1/2
Step-by-step explanation:
5/8 students of the 4/5 students have rodents. The word "of" tells us to multiply. 5/8 * 4/5 is equal to 5*4/8*5, which is 20/40 and therefore simplifies to 1/2.
factorizar por el método de diferencia de cuadrado.
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "q2" was replaced by "q^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(9 • (p2)) - (23•5q2)
STEP
2
:
Equation at the end of step
2
:
32p2 - (23•5q2)
STEP
3
:
Trying to factor as a Difference of Squares:
3.1 Factoring: 9p2-40q2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 40 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
How i can do , somebody can explain step for step please ;(
[tex]\left( \cfrac{-5x^2}{y^3} \right)^{\underline{2}}\implies \left( \cfrac{(-5)^{\underline{2}}x^{2\cdot \underline{2}}}{y^{3\cdot \underline{2}}} \right)\implies \cfrac{(-5)(-5)x^4}{y^6}\implies \cfrac{25 x^4}{y^6}[/tex]
solve for x? divide after getting your last resolution!!
x+18=7x
Answer this question please
Answer:
[tex] \sf \large \: x<19 \: or \: x>−5[/tex]
Step-by-step explanation:
Let's solve your inequality step-by-step.
|x−7|<12
Solve Absolute Value.
|x−7|<12
We knowx−7<12andx−7>−12
x−7<12(Condition 1)
x−7+7<12+7(Add 7 to both sides)
x<19
x−7>−12(Condition 2)
x−7+7>−12+7(Add 7 to both sides)
x>−5
Answer:
x<19 and x>−5
Pls Helppp need it now
Answer:
down one over two( point on -8 then down one over two
Step-by-step explanation:
this might be the right answer please let me know