Answer:C
Step-by-step explanation: fixed cost = 10.47+4.25
Variable cost =1.35m
Total cost= 10.47+4.25+1.35m<=30
Answer:
Option C 10.47 +4.25 + 1.35m 2 30
Step-by-step explanation:
Data:
DoorDash charges a fee of = $4.25
Fee per mile = $ 1.35
Cost of a meal = $ 10.47
The maximum number of miles is given by:
10.47 + 4.25 + 4.25 < 30
Therefore, option C is correct.
The ratio of girls to boys at a movie is 3:8. If there are 32 boys, how many girls are at the movie
Answer:
12
Step-by-step explanation:
8*4=32
So they simplified the ratio by dividing by 4, and we can multiply 3*4 to get the finishing number:
12
The final ratio would be 12:32
Answer:
twelve
Step-by-step explanation:
if the ratio of girls to boys is 3:8, the you have to multiply eight by four. Then, you multiply three by four because you need to keep it equal.
Jason and Michael are playing a game. For each question answered correctly, they earn 5 points. For each incorrect response, they lose five points. If Jason answers three questions incorrectly, what will be his final score?
Answer:
- 15 points
Step-by-step explanation:
For each question answered correctly, they earn 5 points and for each incorrect response, they lose five points.
Therefore, the score after answering the wrong one will reduce by 5 points.
Let us assume that the initial score of Jason is zero and he answers three questions incorrectly.
Therefore, Jason's final score will be [0 - (5 × 3)] = - 15 points. (Answer)
Kyle’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video games. His friend victor’s parents told their son that he can play 30 minutes for every hour of homework or reading time he completed. If both boys spend the same amount of time on homework and reading this week, which boy gets more time playing video games
Answer:
Kyle
Step-by-step explanation:
Kyle:
Kyle’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video games.
Victor:
Victor’s parents told their son that he can play 30 minutes for every hour of homework or reading time he completed. If Victor spends 5 hours doing homework or reading, then he could play
[tex]30\cdot 5=150[/tex] minutes
that is
[tex]120+30=2[/tex] hours [tex]30[/tex] minutes (less than 3 hours).
Hence, if both boys spend the same amount of time on homework and reading this week, then Kyle will have more time to play video games.
A CD costs $15.50 before tax. What is the total cost after a 6% sales tax is added?
Answer:
16.43
Step-by-step explanation:
(6% /100%)* 15.50
= 16.43
Answer: $16.43
Step-by-step explanation:
NEED HELP ASAP!!!!
Find the exact value by using a half-angle identity.
sin five pi divided by twelve
Answer:
[tex]\frac{1}{2}\sqrt{2+\sqrt{3}}[/tex]
Step-by-step explanation:
we know that
An half-angle identity is equal to
[tex]sin(\frac{\theta}{2})=(+/-)\sqrt{\frac{1-cos(\theta)}{2}}[/tex]
we have
[tex]sin(\frac{5\pi}{12})[/tex]
The angle [tex]\frac{5\pi}{12}=75^o[/tex] ----> belong to the First Quadrant, so the value of the sine is positive
Let
[tex]\frac{\theta}{2}=\frac{5\pi}{12}[/tex]
so
[tex]{\theta=\frac{5\pi}{6}[/tex]
[tex]sin(\frac{5\pi}{12})=\sqrt{\frac{1-cos(\theta)}{2}}[/tex]
[tex]cos(\theta)=cos(\frac{5\pi}{6})=cos(150^o)=-\frac{\sqrt{3}}{2}[/tex]
substitute
[tex]sin(\frac{5\pi}{12})=\sqrt{\frac{1-(-\frac{\sqrt{3}}{2})}{2}}[/tex]
[tex]sin(\frac{5\pi}{12})=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}[/tex]
[tex]sin(\frac{5\pi}{12})=\sqrt{\frac{2+\sqrt{3}}{4}[/tex]
[tex]sin(\frac{5\pi}{12})=\frac{1}{2}\sqrt{2+\sqrt{3}}[/tex]
Bill is building a sand box for his son to play in. The length is 2 feet more than the width. He has 20
feet of boards. What are the dimensions of his sand box?
Final answer:
To find the dimensions of Bill's sand box, use the given constraints and solve for the width and length using a simple equation.
Explanation:
Bill's sand box dimensions:
Let the width be x.
Length = x + 2.
Given 20 feet of boards, 2x + 2(x + 2) = 20.
Solving the equation, x = 4 feet (width) and length = 6 feet.
A jet travels 420 miles in 2 hours. At this rate, how far could the jet fly in 13 hours? What is the rate of speed of the jet?
Answer:
420 miles in 2 hours.
If it where to fly for 13 hours then you divide 420 by 2 which is 210. Multiply 210 by 13.
=2730 miles.
The rate of speed would be 420 divided by 2. This would equal 210 miles per hour.
Answer:
The jet could fly 2730 miles in 13 hours. The rate of speed of the jet is 210 miles per hour.
Step-by-step explanation:
420/2=x/13
simplify 420/2 into 210
x/13=210
x=210*13
x=2730
plz answer !! I need your help
Answer:
110°
Step-by-step explanation:
Angles of a quadrilateral add up to 360:
70 + 40 + ∠B + ∠O = 360
∠B + ∠O = 250
The central angle between A and C is double the angle B. And, it plus angle O add up to 360.
Therefore:
2∠B + ∠O = 360
Solve the system of equations. Subtracting the first equation from the second:
∠B = 110
7. On a scale drawing of a planned office space, one inch represents 6 feet.
How wide is the conference room if the width in the drawing is 3 inches?
Answer:
The width of the conference room = 18 feet
Step-by-step explanation:
Given:
Scale drawing of a planned office space is represented as
1 in : 6 feet
To find the width of the conference room if the width in the drawing is 3 inches.
Solution:
Scale is the representation of ratio of lengths in the drawing to the actual length.
The scale given here means that 1 inch length in the drawing corresponds to 6 feet length actually.
Thus, in order to find the actual length of 3 inches, we can use unitary method
If 1 inch in drawing corresponds to = 6 feet
∴ 3 inches in drawing corresponds to = [tex]3\times 6 \ft[/tex] = 18 feet
Thus, width of the conference room = 18 feet
PLzz help easy math...............
Good evening ,
Answer:
A. 2n-1
Step-by-step explanation:
It’s an arithmetic series
with first term 1
Un = U₁ + r×(n-1)
= 1 + 2× (n-1)
= 1 + 2n -2
= 2n - 1.
:)
Answer:
A. 2n-1
Step-by-step explanation:
mateo has 6.5 cups of sugar. how many batches of cookies can he make if each batch requires 3/4 cups of sugar?
The requried batch of sugar that can be made by 6.5 cups of sugar is 8.67 batches.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Mateo has 6.5 cups of sugar.
Each batch requires 3/4 cup of sugar,
Batches of cookies can he make,
= total cups of sugar/ 1 beach requires cups of sugar
= 6.5 / [3/4]
= 8.67 batches of cookies can be made.
Thus, the requried batch of sugar that can be made by 6.5 cups of sugar is 8.67 batches.
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A company wants to give a coffee cup to each of its employees. If there are 533 employees and the cups must be ordered in boxes of 12, how many boxes should the company buy?
Answer:
45
Step-by-step explanation:
533÷12=44R5
44R5≈45
what does this expression represent?
g3/10
A: a number divided by ten.
B: a number to the third power times by ten.
C: a number to the third power divided by ten.
D: a number to the second power divided by ten.
Answer:
Step-by-step explanation:
A: a number divided by ten. **g/10**
B: a number to the third power times by ten. **10g³**
C: a number to the third power divided by ten. **g³/10**
D: a number to the second power divided by ten. **g²/10**
answer: C
A group of friends wanted to compare their average running speeds. They recorded the distance and amount of time each person ran one Saturday morning.
Select all the runners whose speeds are in a proportional relationship with each other.
To determine if the speeds of the runners are in a proportional relationship, compare the ratios of their distances to their times.
Explanation:In order for the speeds of the runners to be in a proportional relationship, their rates of covering distance should be consistent. In other words, the ratios of their distances to their times should be the same or equal.
For example, if Runner A ran 5 miles in 1 hour, and Runner B ran 10 miles in 2 hours, their speeds would be proportional because the ratio of distance to time is the same (5/1 = 10/2 = 5).
So, to determine which runners have proportional speeds, compare the ratios of their distances to their times and see if they are equal.
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Final answer:
Runners whose speeds are in a proportional relationship with each other are those who have the same average speed when the distance they run is divided by the time it took them. To find this, we use the average speed formula, which helps compare runners not only on an individual level but also in terms of speed fractions and distributions.
Explanation:
To determine which runners have speeds in a proportional relationship with each other, we need to use the concept of proportional relationships and the formula for average speed, which is calculated by dividing the distance by the time. If the ratio of distances to times for two runners is the same, then their speeds are proportional. For example, Runner A covering a distance of 10 miles in 2 hours and Runner B covering 5 miles in 1 hour both have an average speed of 5 miles per hour, which shows a proportional relationship.
Relating this to the details provided about the runners, for any pair of runners to have speeds that are in a proportional relationship, their speeds must be consistent or equivalent when calculated. The speed in miles per hour can be found by dividing the recorded distances by the recorded times. If multiple runners have the same result when distance is divided by the time, they are in a proportional relationship with each other in terms of speed.
If Gary spends 10 hours per week on the internet and 9 hours per week playing video games. If Gary has 5 hours of free time per day what percent of his free time is used on video games and the internet?
54 % of his free time is used on video games and internet
Solution:
Given that Gary spend 10 hours per week on the internet and 9 hours per week playing video games
Gary has 5 hours of free time per day
We know that, 1 week = 7 days
5 hours of free time per day, So for 1 week get,
7 x 5 = 35 hours of free time per week
Time spent per week on internet and video game = 10 + 9 = 19 hours per week
The percent of free time used on video games and internet is:
[tex]percent = \frac{\text{ Time spent per week on internet and video game }}{\text{ 35 hours of free time per week}} \times 100[/tex]
[tex]percent = \frac{19}{35} \times 100 = \frac{1900}{35}\\\\percent = 54.286 \approx 54[/tex]
Thus 54 % of his free time is used on video games and internet
Which expression is equivalent to
2/3(9x-6)+4(1/2 x -- 1/2)
1/2 and 3/4 are fractions
Answer:
Given expression [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex] is equivalent to the expression [tex]2(4x-3)[/tex].
Step-by-step explanation:
Given expression is [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex]
To simplify the expression:
[tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})=\frac{18x-12}{3}+\frac{4x-4}{2}[/tex]
Taking LCM 6 to the above expression we get
[tex]=\frac{(18x-12)2+3(4x-4)}{6}[/tex] (Applying multiplication rules)
[tex]=\frac{36x-24+12x-12}{6}[/tex] ( doing sums to the terms)
[tex]=\frac{48x-36}{6}[/tex]
[tex]=8x-6[/tex]
We can take common number 2 outside to the above expression
[tex]=2(4x-3)[/tex]
Therefore [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})=2(4x-3)[/tex]
Therefore given expression [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex] is equivalent to the expression [tex]2(4x-3)[/tex].
Which statements are true regarding the area of circle
D? Select two options
18 cm
The area of the circle depends on the square of the
radius
The area of circle D is 36
cm
The area of circle Dis 3240 cm?
The area of the circle depends on the square of pi.
The area of the circle depends on the central angle
Question:
Which statements are true regarding the area of circle D? Select two options.
The area of the circle depends on the square of the radius.
The area of circle D is 36Pi centimeters squared.
The area of circle D is 324Pi centimetres squared
The area of the circle depends on the square of pi.
The area of the circle depends on the central angle.
Answer:
The following statements are true regarding the area of circle D:
The area of the circle depends on the square of the radius The area of circle D is 324Pi centimetersStep-By-Step Explanation:
As we know, the formula for area of the circle is given by,
[tex]A=\pi r^{2}[/tex]
Where, r = radius of the circle. In figure, CD = radius = 18 cm
So, the circle area can be measured as
[tex]A=\pi(18)^{2}=324 \pi \mathrm{cm}^{2}[/tex]
From this, concluding that the circle area depends on radius square and its value is [tex]324 \pi \mathrm{cm}^{2}[/tex]. Hence, the statement given in option A and C are correct (reveals that option B is incorrect).
As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).
How many seconds are in 250 days?
Quite an interesting question, let us see.
60 seconds in a minute60 x 60 seconds in an hour60 x 60 x 24 seconds in a day60 x 60 x 24 x 250 seconds in 250 days60 x 60 x 24 x 250 = 21,600,000
answer: 21,600,000
Step-by-step explanation: First, let's convert days to hours by multiplying 250 by the conversion factor of 24 to get 6,000 hours. Next we can convert hours to minutes by multiplying 6,000 by the conversion factor 60 to get 360,000 minutes. Finally, we convert minutes to seconds by multiplying 360,000 by the conversion factor 60 to get 21,600,000.
So, there are 21,600,000 seconds in 250 days.
Name the largest angle in the figure.
AXC
DXA
BCD
Answer:
DXAStep-by-step explanation:
In a figure like this, the largest angle is formed from the two outermost points, which are D and A. Since the vertex is X, the angle is DXA.
I'm always happy to help :)You hope to reach $10,000 savings in 6 years in an account paying 1.5%. What is the present value?
All answers will include a $sign.
Answer:
[tex]P=\$9,174.31[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested or present value
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=6\ years\\ P=?\\ A=\$10,000\\r=1.5\%=1.5/100=0.015[/tex]
substitute in the formula above
[tex]10,000=P(1+0.015*6)[/tex]
solve for P
[tex]10,000=P(1.09)[/tex]
[tex]P=10,000/(1.09)[/tex]
[tex]P=\$9,174.31[/tex]
please explain the work, i need help
Answer:
4x+3=5x-12 8x-3=3x+5
Step-by-step explanation:
Answer:
∠A = 47 deg
∠B = 43 deg
∠C = 124.82 deg
∠D = 55.18 deg
Step-by-step explanation:
recall that by definition:
Complementary angles : add up to 90 deg
Supplementary angles: add up to 180 deg
for ∠A and ∠B, they are complementary, i.e.
∠A + ∠B = 90
(4x+3) + (5x-12) = 90
4x + 3 + 5x - 12 = 90
9x - 9 = 90
9x = 90 + 9
9x = 99
x = 11
hence
∠A = 4x + 3 = 4(11) + 3 = 44+3 = 47 deg
∠B = 90 - 47 = 43 deg
for ∠A and ∠B, they are Supplementary, i.e.
∠C + ∠D = 180
8x-9+3x+5 = 180
x = 16.727 degrees
∠C = 8x - 9 = 8(16.727) - 9 = 124.82
∠D = 180 - 124.82 = 55.18
25PTS!!!! PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!
Which statement best describes a graph of paired points that form a proportional relationship?
A.) A straight line can be drawn through all the points and the line passes through the point (0, 0) .
B.) A straight line cannot be drawn through all the points but the line passes through the point (0, 0) .
C.) A straight line can be drawn through all the points and the line passes through the point (0, 3) .
D.) A straight line can be drawn through all the points and the line passes through the point (3, 0) .
Answer:
The answer is B.
Step-by-step explanation:
You have to have a straight line and it has to go through the origin or else its not proportional
Answer:
A.) A straight line can be drawn through all the points and the line passes through the point (0, 0)
Step-by-step explanation:
When a line is straight, drawn through all points, and passes through the origin, that is how you know it's proportional.
B. would be incorrect because a line would have to be drawn through tall points to show that it is proportional
C. the first part of c would be correct but a line doesn't have to pass through (0,3) it has to pass through (0,0) also known as the origin
D. This answer is also incorrect. A line always has to pass through (0,0) to be proportional
Hope this helps :D
Starting from point a, find the point that would cut the line segment created by the points A (-1,4) and B (5,4) into a ratio of 3:4
The coordinates of points are: (11/7 , 4)
Step-by-step explanation:
The formula for a point which divides a line in ration m:n is given by:
[tex]P(x,y) = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
Here
(x1,y1) = (-1,4)
(x2,y2) = (5,4)
m = 3
n = 4
So putting the values in the formula
[tex]P(x,y) = (\frac{(3)(5)+(4)(-1)}{3+4},\frac{(3)(4)+(4)(4)}{3+4})\\= (\frac{15-4}{7},\frac{12+16}{7})\\=(\frac{11}{7}, \frac{28}{7})\\=(\frac{11}{7} , 4)[/tex]
The coordinates of points are: (11/7 , 4)
Keywords: Ratio, fraction
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CAN SOMEONE HELP ME PLEASE ILL GIVE BRAINLEST..I need step to step equation thanks
Answer:
The required co-ordinate is (-2, -5).
Step-by-step explanation:
For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be: [tex]$ R_{y = k} = (x, 2k - y) $[/tex].
Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:
[tex]$ R_{y = 1} (-2, 7) = (-2, 2(1) - 7) $[/tex]
= (-2, -5)
The reflected point is (-2, -5).
What are the solutions to x2 + 8x + 7 = 0?
Answer:
x=-1, -7
Step-by-step explanation:
x^2+8x+7=0
factor out the trinomial,
(x+1)(x+7)=0
zero property,
x+1=0, x+7=0
x=0-1=-1,
x=0-7=-7
Jennifers math scores for the third quarter were 78, 89, 93, 73, 99, 87, 92, and 89. What is the range of her scores
The range of Jennifer's math scores for the third quarter is 26.
Explanation:The range of Jennifer's math scores for the third quarter can be determined by subtracting the lowest score from the highest score. In this case, the lowest score is 73 and the highest score is 99. Therefore, the range is 99 - 73 = 26.
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A produce store offers red and green apple. In one morning they sold 77 apples total. If 7 of the apples they sold were red, what is the ratio of green apples sold to red apples apples sold?
Answer:1:10 is the ratio
Step-by-step explanation:if 7 are red then there are only 70 green left so there are 7 red to every 70 green or reduced is 1:10
Answer:
10:1
Step-by-step explanation:
70 green apples were sold, and 7 red apples were. So, the ratio of green to red would be 70:7. Reduce it and you get 10:1
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q2+11q
Answer:
[tex](q+\frac{11}{2})^2-\frac{121}{4}[/tex]
Step-by-step explanation:
We have been given an expression [tex]q^2+11q[/tex]. We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form [tex]a^2+2ab+b^2[/tex].
To convert our given expression into perfect square trinomial, we need to add and subtract [tex](\frac{b}{2})^2[/tex] from our given expression.
We can see that value of b is 11, so we need to add and subtract [tex](\frac{11}{2})^2[/tex] to our expression as:
[tex]q^2+11q+(\frac{11}{2})^2-(\frac{11}{2})^2[/tex]
Upon comparing our expression with [tex](a+b)^2=a^2+2ab+b^2[/tex], we can see that [tex]a=q[/tex], [tex]2ab=11q[/tex] and [tex]b=\frac{11}{2}[/tex].
Upon simplifying our expression, we will get:
[tex](q+\frac{11}{2})^2-\frac{11^2}{2^2}[/tex]
[tex](q+\frac{11}{2})^2-\frac{121}{4}[/tex]
Therefore, our perfect square would be [tex](q+\frac{11}{2})^2-\frac{121}{4}[/tex].
Adding 121/4 to the equation will make it a perfect square to have [tex]q^2+11q + \frac{121}{4}[/tex]
The standard form of a quadratic equation is expressed as [tex]ax^2+bx+c=0[/tex]
Given the equation [tex]q^2+11q[/tex], we need to add a constant value that will make the expression a perfect square.
To complete the square, we will add the square of the half of the coefficient of q to the equation
Coefficient of q = 11
Half of the coefficient = 11/2
Square of the result = (11/2)² = 121/4
Adding 121/4 to the equation will make it a perfect square to have [tex]q^2+11q + \frac{121}{4}[/tex]
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sharif ran a 2 mile race at an average speed of 8 miles per hour. if arif ran the same race at an average speed of 6 mile per hour, how many minutes longer than sharif did arif take to complete the race?
Divide miles ran by speed to get time:
2 miles / 8 miles per hour = 0.25 hours = 15 minutes.
2 miles / 6 miles per hour = 0.33 hours = 20 minutes.
20 minutes - 15 minutes = 5 minutes longer.
Final answer:
After calculating the time taken by each runner to complete the 2-mile race, we find that Arif took 5 minutes longer than Sharif to finish.
Explanation:
To determine how many minutes longer Arif took to complete the race compared to Sharif, we need to calculate the time each runner took to complete the 2-mile race. First, we calculate Sharif's time. Since speed is distance divided by time, we can rearrange the formula to find time: time = distance/speed.
For Sharif:
Distance = 2 miles
Speed = 8 miles per hour
Time = 2 miles / 8 mph = 0.25 hours
Convert Sharif's time from hours to minutes by multiplying by 60 minutes per hour (0.25 hours * 60 minutes/hour = 15 minutes).
For Arif:
Distance = 2 miles
Speed = 6 miles per hour
Time = 2 miles / 6 mph = 0.333... hours
Convert Arif's time from hours to minutes (0.333... hours * 60 minutes/hour = 20 minutes).
Now, to find the difference in time, subtract Sharif's time from Arif's time:
Difference = Arif’s time - Sharif's time = 20 minutes - 15 minutes = 5 minutes
Arif took 5 minutes longer than Sharif to complete the race.
What is the solution to the system of linear equations?
2x+4y=20
3x+2y=26
We have
[tex]
\begin{cases}
2x+4y=20\Longrightarrow x+2y=10\\
3x+2y=26\\
\end{cases}
[/tex]
Then multiply the second equation by -1 to get
[tex]
\begin{cases}
x+2y=10\\
-3x-2y=-26\\
\end{cases}
[/tex]
Now add the equations that way you eliminate y-terms. You find that
[tex]-2x=-16\Longrightarrow x=8[/tex]
Now plug in the x to either of the original equations and solve for y.
[tex]
x+2y=10\\
8+2y=10\\
2y=2\Longrightarrow y=1
[/tex]
The solution is the intersection of two lines at [tex]P(8,1)[/tex].
Hope this helps.