Zander downloaded a total of 19 Songs and 8 Games.
In the given question, it is stated that Zander's downloads had a combination of 30 games and songs in which he downloaded 8 songs more than games. The equation representing the given situation is g + (8 + g) = 30. Here, g represents Games, and (g+8) represents songs.
Now, to find out the number of games and songs, we need to calculate the value of g by the equation.
=> g + (8 + g) = 30
=> 2g + 8 = 30
=> 2g = 22
=> g = 11
We get value of g = 11, So, downloaded games will be 11 and songs will be 19
Hence, the number of Games and Songs will be 11 and 19 respectively.
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What is the vertex of the graph of y = x^2 + 8x + 23?
VERTEX
The point on an angle where the two sides intersect.
So, The vertex of y = x^2 + 8x + 23 is (-4, 7).
HOPE this HELPED
Here is the question but if you look at that questiion and you dont like it read
-t-h-e c-o-m-m-e-n-t-s :)
Based on the anchor points for the trend line, the equation of the line can be found to be y = 6x + (-2)
How to find the equation of the line?To find the equation of a trend line, you first need to find the difference between the anchor points:
= Change in y / Change in x
= (28 - (-38)) / (5 - (-6)
= (28 + 38) / (5 + 6)
= 66 / 11
= 6
The y intercept is:
y = mx + c
28 = 6(5) + c
c = 28 - 30
c = - 2
The equation of the line is:
y = 6x + (-2)
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If 5x + 3y = 31 and 6x + 4y = 39 using elimination,
what is the value of x + y?
Answer:
x=3.5,y=4.5
lets check if our answer is correct
let's use equation 1
5x+3y=31
5(3.5)+3(4.5)=31
17.5+13.5=31
31=31
Step-by-step explanation:
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You have a budget of $300 to order shirts for a math club. The equation. 10x + 12y = 300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.
a. Interpret the terms and coefficients in the equation.
b. Graph the equation. Interpret the intercepts.
c. Find three possible solutions in the context of the problem.
The x-intercept is at point (30,0) and the y-intercept is at point (0,25). The graph of the equation is attached below.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that Short-sleeved shirts cost $10 each.
The Long-sleeved shirts cost $12 each.
The total budget is $300.
The given equation is 10x + 12y = 300
where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.
We have, 10x + 12y = 300
Substitute the value x = 0
10(0) + 12y = 300
12y = 300
y = 25
So, the y-intercept will be at 0,25).
Substitute y = 0
10x + 12(0) = 300
10x = 300
x = 30
So, the x-intercept is at point (30,0).
The x-intercept is at point (30,0), that means the number of short-sleeved shirts is 30. The y-intercept is at point (0,25), that means the number of long-sleeved shirts is 25.
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The ACT is a college entrance exam taken by high school students. The maximum score that can be earned is 36. The average score in the United States was 21.2 during a recent year. The average score for Vermont students that year was 7.5% higher than the national average. What was the average ACT score for Vermont students? Round your answer to the nearest tenth.
If the average score in the United States was 21.2 during a recent year. The average score for Vermont students that year was 7.5% higher than the national average. The average ACT score for Vermont students is: 22.80.
Average ACT scoreUsing this formula to determine the average ACT score
Average ACT score = Average score in the United states + ( Average score in the United States × Average score for Vermont students)
Let plug in the formula
Average ACT score = 21.2 + ( 21. 2 × 7.5%)
Average ACT score = 21.2 + 1.59
Average ACT score = 22.79
Average ACT score = 22.80 (Approximately)
Therefore we can conclude that the average score is 22.80.
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An online streaming service that offers TV shows, documentaries, and movies charges an initial fee of $20.25 and an additional monthly membership fee of $3.75. The total cost, N(t), for a member after t months can be expressed with the function N(t) = 3.75t + 20.25. What is the range of the function in the context of the problem?
ℝ
[0, ∞)
[3.75, ∞)
[20.25, ∞)
The range of the function N(t) is [20.25, ∞). The correct option is D.
What is the range of the function?A function's range is the set of possible output values. For example, the range of the function f(x)=x² on the domain of all real numbers (xR) is the non-negative real numbers, which can be written as f(x)0 (or [0,] in interval notation).
In this question, we have been given that an online streaming service that offers TV shows, documentaries, and movies charges an initial fee of $ 20.25 and an additional monthly membership fee of $3.75.
The total cost, N(t), for a member after t months can be expressed with the function N(t) = 3.75t + 20.25
As t is the number of months, t can take values from 0 to infinity.
For t = 0 years,
N(0) = 3.75(0) + 17.25
N(0) = 0 + 17.25
N(0) = $17.25
For x tends to ∞, the value of function would be ∞. The range will be (20.25,∞).
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molly and kali are selling fruit for a school fundraiser. customers can buy small boxes of grapefruit and large boxes of grapefruit. molly sold 12 small boxes of grapefruit and 5 large boxes of grapefruit for a total of $200. kali sold 4 small boxes of grapefruit and 10 large boxes of grapefruit for a total of $200. what is the cost of one small box of grapefruit and one large box of grapefruit?
The cost of one small box is $10 and the cost of one large box of grapefruit is equal to $16.
This type of problem can be solved using linear equations.
If we consider x to be the cost of one small box and y to be the cost of one large box of fruit, the linear equations can be given as;
12x + 5y = 200
4x + 10y = 200
Multiplying the second equation by 3
12x + 5y = 200
12x + 30y = 600
Now by subtracting both equations we get;
-25y = -400
y = -400 / -25
y = 16
Now adding this value of y = 16 in the first equation;
12x + 5y = 200
12x + 5(16) = 200
12x + 80 = 200
12x = 200 - 80
12x = 120
x = 120 / 12
x = 10
Therefore, $10 is the cost of one small box and $16 is the cost of one large box of grapefruit.
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The circumference of a circle is 7 ft. What is the area, in square feet? Express your
answer in terms of
Answer:
3.9ft²
Step-by-step explanation:
Hence circumference of the circle =2π(7)=2⋅722⋅7=2⋅22=44 cm.
Complete the statement. Justify your answer If 11m=3n, then m/n=?
[tex]11m = 3n \\ \frac{11m}{11 \times n} = \frac{3n}{11 \times n} \\ \frac{m}{n} = \frac{3}{11} [/tex]
ATTACHED IS THE SOLUTION
REASONING You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with
the given dimensions.
8 ft x 5ft
It will take you
minutes to paint the wall.
It will take you approximately 24 minutes to paint a 8ft x 5ft wall.
Lets find the area of the given wall,
Area of the wall (A) = 8ft x 5ft
A = 40sq ft.
It takes 45 minutes to paint a 75 square feet wall, i.e.,
45min = 75 sq. ft.
So, in one min we can paint,
1 min = 75/45sq.ft. = 1.67sq.ft.
Therefore, the time taken to paint the given wall,
= 40sq.ft./1.67sq.ft.
= 24 mins (approx.)
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what is the answer to this equation.
Answer:
a = 10
Step-by-step explanation:
9 + a/10 = 10
we are going to be multiplying everything by 10
90 + a = 100
100-90=10
so a =10
B. Fill in the correct angle measurement.
7)
What is the complement of an 11° angle?
8)
What is the supplement of a 92° angle?
9)
What is the complement of a 56° angle?
For #10-12, use the diagram to the right.
10) m/ 2 =
11) m/3 =
12) m/4=
||·|
41°
3
2
Answer:
see solution
Step-by-step explanation
complementary means that both the angles add up to 90 and supplementary means both the angles add up to 180.
7) 90-11 = 79 degrees
8) 180-92 = 88 degrees
9) 90-56 = 34 degrees
You have not shown the diagram which questions 10 to 12 requires so I cant solve that
this is not a question im giving you all the answers!!!! I did miss like one question though sorry
Answer Key
Question 1 (Worth 1 points)
(03.03 MC)
The annual growth of Noah's worm collection is represented by the table. What does the f(x) = 4 represent?
x 0 2 4
f(x) 4 16 64
The number of new worms each year
The number of worms Noah started with
The common ratio of worm growth
The average rate of change of worm growth each year
Points earned on this question: 1
Question 2 (Worth 1 points)
(03.03 MC)
A talent competition on television had five elimination rounds. After each elimination, only one-third of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition:
x 1 2 3 4 5
f(x) 243 81 27 9 3
Compute the average rate of change of f(x) from x = 1 to x = 4, and describe what it represents.
−78 contestants per round, and it represents the number of contestants who will reach the final round
−234 contestants per round, and it represents the number of contestants who will reach the final round
−234 contestants per round, and it represents the average rate at which the number of contestants changed from the first round to the fourth round
−78 contestants per round, and it represents the average rate at which the number of contestants changed from the first round to the fourth round
Points earned on this question: 1
Question 3 (Worth 1 points)
(03.03 MC)
The table represents a continuous exponential function f(x).
x 2 3 4 5
f(x) 9 3 1 one-third
Graph f(x) and identify the y-intercept.
9
15
36
81
Points earned on this question: 0
Question 4 (Worth 1 points)
(03.03 MC)
Terrance invested money in a technology stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of days. Find the approximate average rate of change from day 3 to day 8.
0.496
2.016
2.48
5
Points earned on this question: 1
Question 5 (Worth 1 points)
(03.03 MC)
Does the function f of x equals 4 times the quantity 1 over 3 end quantity to the x power represent growth or decay? What is the y-intercept of f(x)?
Growth; (0, 4)
Growth; 0 comma one-third
Decay; (0, 4)
Decay; 0 comma one-third
Points earned on this question: 1
Question 6 (Worth 1 points)
(03.03 LC)
Which of the following options results in a graph that shows exponential decay?
f(x) = 0.6(2)x
f(x) = 3(0.7)x
f(x) = 0.4(1.6)x
f(x) = 20(3)x
Points earned on this question: 1
Question 7 (Worth 1 points)
(03.03 LC)
The number of members, f(x), in Joe's health club increased by 25% every year over a period of x years. The function below shows the relationship between f(x) and x:
f(x) = 15(1.25)x
Which of the following graphs best represents the function?
graph of exponential function going up from left to right through the point 0 comma 1 and approximately 6 tenths comma 6
graph of exponential function going up from left to right through the point 0 comma 15 and approximately 5 comma 45
graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing toward infinity
graph of exponential function going up from left to right through the point 0 comma 1 and approximately 4 comma 3
Points earned on this question: 1
Question 8 (Worth 1 points)
(03.03 MC)
A bacteria is growing by a factor of 2 every hour from 1 p.m. to 11 p.m. The function below shows the number of bacterial cells, f(x), after x hours from 1 p.m.:
f(x) = 20(2)x
Which of the following is a reasonable domain for the function?
All positive integers
1 ≤ x ≤ 11
0 ≤ x ≤ 20
0 ≤ x ≤ 10
Points earned on this question: 0
Question 9 (Worth 1 points)
(03.03 MC)
Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.
An exponential graph has time in years on the x axis and enrollments on the y axis. An upward rising curve begins at zero comma fifteen and passes through four comma seventy five.
0.067
4
15
75
Points earned on this question: 1
Question 10 (Worth 1 points)
(03.03 MC)
The number of subscribers, f(t), to a newspaper after t years is shown by the equation below:
f(t) = 75(0.95)t
Which conclusion is correct about the number of subscribers to the newspaper?
It increased by 75% every year.
It decreased by 75% every year.
It increased by 5% every year.
It decreased by 5% every year.
Points earned on this question: 1
What's your question? This is already your submitted quiz on FLVS, I took it earlier today. After you've submitted it and try to resubmit, it will give you different questions with different answers...
Answer:
none of the answers showed up!it’s jut a useless list of questions!
Write fraction as a decimal
3/8
7/5
21/7
5/3
All you do is divide:
3 ÷ 8 = 0.375 or 0.38 or 0.4
7 ÷ 5 = 1.4
21 ÷ 7 = 3
5 ÷ 3 = 1.66666666667 or 1.67 or 1.7
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Can someone help me ASAP please!!!!
Answer:
18 ft
Step-by-step explanation:
a=wl (3)(4) = 12
1/2bh 1/2(3)(4) = 6
12+6 = 18
Randy planted a small pine tree in his yard. When he bought the tree it was 6 inches tall and grew at a rate of 2 inches weekly. Write a function of height, h, in terms of weeks, w.
Answer:
h = 2w + 6
Step-by-step explanation:
2 is the rate of change and 6 is the starting value.
PLEASE HELP
if f(x)=3x-2 and g(x)=x+2/3, find f(g(x))
PHOTO ATTACHED
Answer:
g(x)= 1
f(x) = 1
f(g(x)) = 1
Step-by-step explanation:
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.
Solving a system of equations we can see that:
7 small boxes were shipped.14 large boxes were shipped.How to determine the number of boxes?
Let's define the variables:
x = number of small boxes.y = number of large boxes.With the given information we can write the system of equations:
y = 2*x
x*45 + y*80 = 1435
To solve the system, we can replace the first equation into the second one.
x*45 + (2*x)*80 = 1435
x*45 + x*160 = 1435
x*205 = 1435
x = 1435/205 = 7
x = 7
So we conclude that 7 small boxes were shipped, and then:
y = 2*x = 2*7 = 14
14 large boxes were shipped.
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7/9 - 1/3 divided by 3/4
Answer:
16/27
Step-by-step explanation:
simplifying
(7/9−1/3)/3/4=16/27
Answer:
Step-by-step explanation:
7/9 - 1/3
= 7/9 = 3/9
= 4/9
4/9 / 3/4
= 4/9 * 4/3
= 16/27 Answer.
Select the correct rounding place. 438.612439,000
B. tens
C. hundreds
D. thousands
E ten thousands
The correct rounding place for 438.612439000 is thousands as there are 3 zeros at end of the decimals which has no value.
What is rounding?To estimate a specific number in a context, rounding is a process. Look at the next digit in the correct position to determine how to round a number; if it is less than5, round down, and if it is 5 or more, round up.
The term "rounding decimals" describes the accurate rounding of decimal numbers. To the nearest whole, tenth, or hundredth, we can round decimals.
To quickly and easily estimate an answer, rounding decimals is helpful. Finding out the approximate average score of the students in a class is also helpful.
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Please help me to wrap my head around #22please included the Subjects I need to work on for (HW).
chaperones/students; 1/7 = x/45
7x = 45
x = 6.43
the min amount would be 7, as there can not be .43 of a chaperone. It cannot also be 6 because 6 x 7 would be 42 < 45.
hi please help me!!!!!!!!!!!!!!
Answer:
10, 9, 8, -3, -8
Step-by-step explanation:
from top to bottom highest lowest
10
9
8
-3
-8
Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the mean of the sample means?.
The mean of the sample means will be 25
As Sample mean is an estimate of the population mean. If we increment the number of observations the precision of the sample means will be improved to get closer to the population mean and according to Central Limit Theorem, The sampling distribution of the sample statistic can be considered roughly if any of the below-mentioned criteria is satisfied :
The sample measure is expansive or at the slightest 30. If the sample estimate is less than 30 at that point the distribution of the population from which the sample is chosen ought to be normal.We are provided with a sample size which is 100, a population mean which is 25, and a population standard deviation which is 20.
So , n =100
μ= 25
σ= 20
therefore, the mean of the sample means is
μₓ =μ
= 25
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You roll a fair 6-sided die twice. Find the probability of getting the same number.
Answer:2/12
Step-by-step explanation:6x2 is 12 and the chance of getting is 2/12.
Answer: 1/6
Step-by-step explanation:
When you roll a dice, you will get a number from 1-6. It could be any number.
However, to roll a dice and get that same number, out of the 6 numbers, is 1/6.
hilda bought 10 7/20 she left with 21 1/4 using decimal form
The pounds of pork that Hilda bought based on the information illustrated is 10.9 pounds.
How to calculate the value?From the information, Hilda bought 10 7/20 lb of beef and some pork and she left with 21 1/4 of meat.
The pounds of pork that she bought using the decimal form will be:
= Total meat - Pounds of beef
= 21 1/4 - 10 7/20
= 21.25 pounds - 10.35 pounds
= 10.9 pounds.
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Hilda bought 10 7/20 lb of beef and some pork. She left with 21 1/4 of meat. Express the pounds of pork that she bought using decimal form
please i’m giving 50 pointssss
Answer:
Step-by-step explanation:
The ratio of flour to honey is always 10/8 because she uses a constant ratio.
1. The missing values in the table would be the value of honey (1, 16, 30, h) times 10/8.
2. The equation would be f = (10*h)/8
3. Plug 15 and 17 into the equation above.
Every year, santiago's grandmother knits him a cozy wool sweater for his birthday. santiago's favorite color is red, so she plans to buy 700 yards of red thick wool for his sweater this year. she chooses a wool that is sold in 420-foot skeins. how many skeins should she buy?
Santiago's grandmother should buy 5 skeins to knit the sweater for his birthday.
Firstly converting the required amount of wool in foot. As per the known fact, 1 yard = 3 feet
So, required amount of wool = 700 × 3
Performing multiplication to find the required amount of wool
Required amount of wool = 2100 feet
Amount of wool in 1 skein = 420 feet
Number of skeins = 2100÷420
Performing division to find the number of skeins to be bought for knitting sweater for birthday
Number of skeins = 5
Therefore, Santiago's grandmother should buy 5 skeins of wool.
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(1.1: modeling) matt is a software engineer writing a script involving 6 tasks. each must be done one after the other. let ti be the time needed to complete the ith task. these times have a certain structure: •the total time needed to complete any 3 adjacent tasks is half the total time required to complete the next two tasks. •the second task takes 1 second. •the fourth task takes 10 seconds.
(t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.
(A) An augmented matrix for a system of equations is a matrix of numbers where each column represents all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).
The system's augmented matrix is shown here:
[tex]\left[\begin{array}{cccccc|c}1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 & 0 \\0 & 1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right][/tex]
(B) Use these row operations to convert this augmented matrix to a reduced echelon form.
Row 2 should be subtracted from row 1, row 2 from row 3, and row 3 should be added to row 2.Increase row 3 by 1.Subtract row 4 from row 3 and multiply row 4 by row 1.Here is the augmented matrix's reduced echelon form:
[tex]\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right][/tex]
(C) There are more rows:
[tex]\begin{array}{lllllll}0 & 0 & 0 & 0 & 0 & 1 & 20\end{array},\\\begin{array}{lllllll}1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}[/tex]
Augmented matrix:
[tex]\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 0 & 1 & 20 \\1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}\right][/tex]
(D) You must employ these row operations in order to solve the system.
Subtract row 1 from row 6, row 2 from row 6, row 3 from row 6, swap rows 5 and 6, add row 5 to row 3, multiply row 5 by 2, subtract row 1 from row 6, and row 1 from row 6 multiplied by 1/2. Add row 6 multiplied by 1/2 to row 3.[tex]\left[\begin{array}{lllllll}1 & 0 & 0 & 0 & 0 & 0 & 5 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & 0 & 0 & 44 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 1 & 0 & 90 \\0 & 0 & 0 & 0 & 0 & 1 & 20\end{array}\right][/tex]
Therefore, (t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.
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Zachary purchased a computer for $1,800 on a payment plan. Three months after he purchased the computer, his balance was $1,365. Four months after he purchased the computer, his balance was $1,220. What is an equation that models the balance y after x months?
Virginia got twice as much snow as Tennessee.
Together, both states got a total of 30 feet of snow.
How much snow did Virginia get? HELP!
Answer: 15
Step-by-step explanation:
For them to both get 30 you have to get 15 because 15+15 equals 30!
Sense Virginia got twice as much just times 15 by 2 to get 30
Very simple ! Hope this helped ! Have a great day ! :D