10. Write About It Meredith describes to Liza two purchases she made.
"On Monday, I bought 39 books and 21 CDs for $396. On Tuesday, at the
same prices, I bought 52 books and 28 CDs for $518."
Liza thought about the numbers and said, "That's impossible!" Is Liza
correct? Assume that all books cost the same amount and all CDs cost
the same amount. Explain.
Answer:
Yes, because the 39 books and 21 cds price is proportional to the 52 books and 28 cds' price
Step-by-step explanation:
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3. (05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<-
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Step-by-step explanation:
y > 3x + 10
y < -3x - 1
Part A:You'd graph the given systems of linear inequalities the same way as you graph the linear equations.
To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph. Use a dashed line (because of the ">" symbol).
Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).
Pick a test point on either side of the boundary line and plug it into the original problem. This will help determine which side of the boundary line is the solution. Plug in a test point that is not on the boundary line.
Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.
y > 3x + 10
0 > 3(0) + 10
0 > 0 + 10
0 > 10 (False statement).
y < -3x - 1
0 < -3(0) - 1
0 < 0 - 1
0 < -1 (false statement).
Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.
Part B:
You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.
y > 3x + 10
10 > 3(8) + 10
10 > 24 + 10
10 > 34 (False statement).
y < -3x - 1
10 < -3(8) - 1
10 < -24 - 1
10 < -25 (false statement).
Therefore, (8, 10) is not a solution to the system.
how do i solve this??
Answer:
128º
Step-by-step explanation:
You just add the two angles together
<GFE=<KFE+<GFK
<GFE=100+28
<GFE=128
The number of protons to neutrons in the nucleus of an atom is 5 to 6.If the numbers of protons in the nucleus is 30 then find the number of neutrons
Answer:
36 neutrons
Step-by-step explanation:
The ratio of the protons to neutrons is 5:6, or 5 protons/6 neutrons. You know there are 30 protons, so this means you can set up proportions. Keeping the protons on the top, 5 protons/6 neutrons = 30 protons/x neutrons. You can cross-multiply from here, but how I find it helpful to think of it is seeing that you have to multiply 5 protons by 6 to get to 30 protons, so you'd have to also multiply the 6 neutrons by 6 to get x neutrons. Doing so (6x6) will get you 36. Don't forget your units! (:
approxomate negative square root of 23 to the nearest tenth. draw the point on the number line
Answer:
Step 1: Calculate
We calculate the square root of 23 to be:
√23 = 4.79583152331272
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
4.79
Step 3: Round
Round 4.79 so you only have one digit after the decimal point to get the answer:
4.8
To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.
The negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.
What is a perfect square number ?Number which are formed by multiplying a number with itself once are called perfect square numbers.
Now the given number is,
negative square root of 23
Thus we have, [tex]-\sqrt{23}[/tex]
So the value of [tex]-\sqrt{23}[/tex] is -4.79
To round to the nearest tenth, so the digit at the tenth place is 7 and digit at right of 7 is 9 which is greater than 5 so roundup the digit.
Thus we get,
[tex]-\sqrt{23}[/tex] = 4.8
Thus, this point will lie between 4 and 5 and more closer to 5.
Thus, the negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.
Learn more about perfect square here :
brainly.com/question/997406
#SPJ2
please help picture below
Simplify the expression using the order of operations. (21−3)÷32
Step-by-step explanation:
(21 - 3) ÷ 32
BIDMAS
Brackets: 21 - 3 = 18
Division: 18 ÷ 32 = (0.5625)
Help Pleasseeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
graph points (0,2) and (0.857,0)
Step-by-step explanation:
can i please have the brainliest
a. How are the functions y = x and y = x + 4 related? How are their graphs related?
Step-by-step explanation:
gggggggggggggiiiiiiiiiiii
1. Allison is a recent college graduate. She got a job as a marketing executive making $82,000 a year, and she will have to move across the country for the new job. Her moving expenses are $7500. She has also started paying back her student loans, and this year will pay back $1386 in student loan interest. What is Allison's adjusted gross income (AGI)?
Answer:
82,000+7500+1,386=168,136
Step-by-step explanation:
You have to do Addition
(a) A color printer prints 21 pages in 10 minutes. How many minutes does it take per page? U minutes per page
Answer:
10/21
Step-by-step explanation:
Number of minutes required for printing 21 pages: 10
So, number of minutes required for printing 1 page
= 10/21
(= 0.47 = 0.5 [approximately])
In triangle XYZ, LX = 45°, LY
= 65°
Find the size of LZ.
PLEASE HELP ILL PAY U $10
Answer:
Angle Z is 70 degrees
Step-by-step explanation:
The 3 angles of a triangle add up to 180 degrees. Angle x is 45, angle y is 65.
180-45-65 = 180-110 = 70
Give the x-intercept for the equation 6x + 3y = -9
Answer:
-9/6 or -3/2
Step-by-step explanation:
To find the x intercept, substitute y = 0 into the equation:
6x + 3(0) = -9
Now simplify,
6x + 0 = -9
6x = -9
x = -9/6 → -3/2
Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead
(1.4,1.6);m=3.1 equation of the line in point slope form
Answer:
y-4=3.1(x-1)
or y-1.6=3.1(x-1.4)
Step-by-step explanation:
Answer:
y = 3.1x - 2.74
Step-by-step explanation:
y-intercept: 1.6 - (3.1)(1.4) = 1.6 - 4.34
= - 2.74
Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=
Answer:
120
Step-by-step explanation:
Given arithmetic sequence
3,5,7,9,.........,21
The first term a=3 & a common difference d=5−3=7−5=⋯=2
If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as
l=a+(n−1)d
21=3+(n−1)2
n=10
hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula
Sn=n2(a+l)
S10=102(3+21)
=120
Simplify 14 to the fifteenth power over 14 to the fifth power.
Answer:
4^10
subtract 15-5 and leave the 14 be
Answer:
14 to the tenth power
Step-by-step explanation:
fifteen - fifth = ten. When you are working on exponential problems like this, remember to add or subtract the powers.
Martin Ellis sells a line of cooking pots. He is paid a salary of $1,150 a month plus a 10% commission on all sales. Last month his sales were $35,000. What were his total earnings?
a
$500.00
b
$4,650.00
c
$650.00
d
$50.00
Answer:$4,650.00
Step-by-step explanation:35,000x10%=3,500
3,500+1,150=4,650
calcular el valor de la fuerza desconocida en cada gráfico, si el sistema esta en equilibrio (les pongo coronita :c ayuda porfaaa)
Answer:
7. F=24N
8. P=16N
Step-by-step explanation:
the sum of all forces will equals 0
CAN SOMEONE PLEASE HELP MEEEE
Answer:
a) and e)
Step-by-step explanation:
7 * 1/2 = 3.5
3.5 / 2 = 1.75
? = 1.75
a) 2 * 1.75 = 7 * 1/2 (correct!)
b) 7 * 1/2 * 1.75 = 2 (wrong!)
c) 2 * 7 * 1/2 = 1.75 (wrong!)
d) 1.75 * 7 * 1/2 = 2 (wrong! this is the b) backwards)
e) 1.75 * 2 = 7 * 1/2 (correct! this is the a) backwards)
The population of a school is 800 students and is increasing at a rate of 2% per year. Use an
exponential function to find the population of the school after 9 years.
Answer:
7344 (yo i haven't done this since like 5th grade so i dont know if its right)
Step-by-step explanation:
800 increase by %2 is 816
816 x 9 = 7344
where is the point (7, -1-0) loacted on the coordinate plane?
Please help!
17. A salesperson earns a base monthly salary of $2000 plus a 10% commission on sales. The salesperson's
monthly income I (in dollars) is given by the function I(s) = 0.1s + 2000, where s is the sales (in
dollars) that the salesperson makes. Sketch a graph to illustrate each situation using the graph of
I(s) = 0.1s + 2000 as a reference.
A. The salesperson's base salary is increased.
B. The salesperson's commission rate is decreased.
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: [tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
The function is given as:
[tex]\mathbf{I(s) = 0.1s + 2000}[/tex]
When the base salary is increased, a possible function is:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex]
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
[tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
See attachment for the graphs of both functions
Read more about linear equations at:
https://brainly.com/question/21981879
this problem is difficult and i dont want homework
Answer:
The area is 49/12 or 4 1/12
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × base × height
a = 1/2 × 3 1/2 × 2 1/3 (4 2/3 is not the height!)
a = 1/2 x 7/2 x 7/3 (I converted all the fractions into improper fractions)
a = 49/12 (1 × 7 × 7 = 49, 2 × 2 × 3 = 12)
You can convert it back to a mixed number:
49/12 = 4 1/12
Hope this helps!
Name the part of AKTH.
TS is a(n) [blank].
PLEASE PLEASE HELP !!!
Answer:
I'm pretty sure that's an angle.
Step-by-step explanation:
What is the value of x in the equation 3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = 2
So the value of x is 2
Algebra 2 - Standard form of a quadratic function
1. A field goal kicker discussed his performance with this coach. Based on the coach’s data, the kicker usually kicks the ball so it reaches a maximum height of 50 yards
after it has traveled 25 yards down the field. What is the equation, in standard form, of the kick? Round your answer to the nearest hundredth
2. If the goal posts are 10 yards high, what is the minimum and maximum distance that his kick will make it over the goalpost? Round your answer to the nearest hundredth
Using quadratic function concepts, it is found that:
1) The equation is [tex]y = -0.08x^2 + 4x[/tex]
2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
In this problem:
The ball was kicked from the ground, thus [tex]y(0) = 0[/tex], which means that c = 0.Item 1:
The vertex is: [tex]V(x_v,y_v)[/tex], in which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, it is (25,50). Thus:
[tex]-\frac{b}{2a} = 25[/tex]
[tex]-b = 50a[/tex]
[tex]b = -50a[/tex]
[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]
[tex]-b^2 = 200a[/tex]
[tex]-(50a)^2 = 200a[/tex]
[tex]-2500a^2 - 200a = 0[/tex]
[tex]200a(-12.5a - 1) = 0[/tex]
Then, as [tex]a \neq 0[/tex]
[tex]a = -\frac{1}{12.5} = -0.08[/tex]
[tex]b = -50a = -50(-0.08) = 4[/tex]
Thus, the equation, in standard form, is:
[tex]y = -0.08x^2 + 4x[/tex]
Item 2:
The distances are the values of x for which:
[tex]y = 10[/tex]
Then
[tex]-0.08x^2 + 4x = 10[/tex]
[tex]-0.08x^2 + 4x - 10 = 0[/tex]
Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:
[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]
[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]
[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]
The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A similar problem is given at https://brainly.com/question/24713268
Help please i need to know this
Answer:true,true,false, true,false false
Step-by-step explanation:
Answer:
As shown in the attachment,
Step-by-step explanation:
I need help on this question please help
Answer:
on day 6
Step-by-step explanation:
you would multiply
James scored a total of 60 points during 2 games of basketball. He scored 3 times as many points in the second game what were
James's point totals for each game?
first game: 10 points; second game: 50 points
first game: 15 points; second game: 45 points
first game: 20 points; second game: 40 points
first game: 25 points; second game: 35 points
Answer:
15 and 45
Step-by-step explanation:
15*3=45
15+45=60
hope this helps!
Pleasee help me this stuff hard
Answer:
3x-8=2x+8
1x-8=8
1x=16
x=16
your answer is x=16.