Answer:
[tex]y \ge \frac{4x-1}{5}[/tex]
Step-by-step explanation:
Given
[tex]4x - 5y \le 1[/tex]
Required
Solve for y
[tex]4x - 5y \le 1[/tex]
Subtract 4x from both sides
[tex]- 5y \le 1-4x[/tex]
Divide both sides by -5 (the inequality sign changes)
[tex]y \ge \frac{1- 4x}{-5}[/tex]
[tex]y \ge \frac{4x-1}{5}[/tex]
A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $15 each, and tickets for tier seats cost $70 each. The total cost of the tickets was $345. How many tickets for tier seats did they purchase
Answer:
3 tier seats tickets
Step-by-step explanation:
Let the friends that bought floor seats be x and let the friends that bought tier seats be y.
Thus;
x + y = 12 - - - (eq 1)
Floor seats tickets cost $15 each, and tier seats tickets cost $70 each. The total cost of the tickets was $345. Thus;
15x + 70y = 345 - - - (eq 2)
Let's make x the subject in eq (1)
x = 12 - y
Putting this for x in eq 2 gives;
15(12 - y) + 70y = 345
180 - 15y + 70y = 345
55y = 345 - 180
55y = 165
y = 165/55
y = 3
Put 3 for y in x = 12 - y to get;
x = 12 - 3
x = 9
Thus, they purchased 9 floor seats tickets and 3 tier seats tickets
Let f (x) = 2x^2 – 7and g(x) = 3x + 1.
Find f (g (-2)).
f(g(-2)) =
Step-by-step explanation:
g(-2)=3(-2) +1= -6 + 1= -5
f(g(-2))=f(-5)= 2(-5)^2 -7
=2(25) -7
=50-7
=43
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
No solution
Step-by-step explanation:
Given
[tex]|x| = -1[/tex]
Required
The solution
The above equation has no solution.
This is because [tex]|x| \ge 0[/tex]
In otherwords, the absolute value of a number is always positive.
what are the two types of probability
Answer:
The two "types of probability" are: 1) interpretation by ratios, classical interpretation; interpretation by success, frequentist interpretation. The third one is called subjective interpretation.
A bag holds 20 red marbles and 40 green ones, for a total of 60 marbles. Ryan picks one marble from the bag at random, hoping to pick a red marble. Which of the following statements is true?
a. The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble decreases.
b. The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble increases.
c. The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble decreases.
d. The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble increases.
Answer:
C
Step-by-step explanation:
The probability Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, that % will decrease.
The probability of picking a red marble on the first try is 33%, and if Ryan keeps this marble and picks another from the bag, the probability of picking a green marble decreases.
Thus, option (C) is correct.
In this case, there are 20 red marbles out of a total of 60 marbles.
So the probability of picking a red marble on the first try is 20/60, which simplifies to 1/3 or 33%.
If Ryan keeps the red marble and picks another one from the bag, the total number of marbles becomes 59.
The number of green marbles remains the same at 40.
Therefore, the probability of picking a green marble on the second try is 40/59, which is less than the probability of picking a green marble on the first try.
Hence, the probability of picking a red marble on the first try is 33%.
Thus, option (C) is correct.
Learn more about Probability here:
brainly.com/question/32117953
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2% of 200 restaurant reviews were negative. How many reviews were negative?
Answer:
4
Step-by-step explanation:
mark me brainliest pls :)
The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5
What is The sum of b and 11
what are the domain and range of this function
Answer:
The domain is all real numbers
The range is y ≥ -8
Step-by-step explanation:
The domain is the values that x can take
The domain is all real numbers
The range is the values that y can take
The range is y ≥ -8
AD=3, BD=5, AE=4. Find CE
Answer:
6.6
Step-by-step explanation:
Triangles ADE and ABC are similar.
Therefore,
AD/AB=AE/AC
3/8=4/AC
3AC=32
AC=10.6(3 s.f)
CE=10.6-4=6.6
Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed? DO NOT ANSWER JUST TO STEAL MY POINTS!!
Answer:
70 feet
Step-by-step explanation:
Given
[tex]Sides: 23ft, 15ft, 32ft[/tex]
Required
The tape needed
This implies that we calculate the perimeter (P)
This is calculated as:
[tex]P = \sum sides[/tex]
So:
[tex]P = 23ft +15ft + 32ft[/tex]
[tex]P = 70ft[/tex]
Answer:
dude why does it say your in college?!?
Step-by-step explanation:
Also I DON'T KNOW just kidding um before some fork tard deletes my answer Hi how are you????
List two numbers that are divisible by 9?
Answer:
3, 6, 12, 15
Step-by-step explanation:
3/12= 4
3/9= 3
f(-5)=
Pls help i will mark the brainliest!
Answer:
f(-5)=7
Step-by-step explanation:
Because y=f(x) so f(-5) means x=-5.
Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7
Answer:
7
Step-by-step explanation:
Go to - 5 along the x axis.
When you hit the blue, go straight across until you hit the number on the y axis.
That number is 7
8b - 5a + 4 for a = -4 and b = 7
If anyone gets this tysm
Answer:
80Step-by-step explanation:
Given Question,
8b - 5a + 4
Given Values:
a = -4 and b = 7
Solution,
8(7) - 5(-4) + 4
= 56 + 20 + 4
= 80 (Ans)
Answer:
80
Step-by-step explanation:
8b - 5a + 4
a = - 4
b = 7
8(7) - 5(- 4) + 4
56 - (- 20) + 4
56 + 20 + 4
60 + 20
80
Graph and show work hurry plsss
y=179x
Y=105x+2046
Answer:
y=179x
Y=105x+2046
Step-by-step explanation:
for what values of x are these functions defined x - 1
Answer:
The function is defined for all real numbers.
which can be denoted as >> R
A cooking teacher needs to give each student in his class three eggs to use in a recipe. There are 44 students in the class. How many dozens should the teacher buy?
Answer:
11
Step-by-step explanation:
Multiply 44 by 3 to get the amount of eggs you need total, then divide it by 12 for each dozen of cartons you’ll need to buy. The end result is 11.
Tasta's bank account was. She deposited a check into her bank account and her new total is. How much was the check that Tasta deposited into her account?
Answer:
Step-by-step explanation:
New Total equals Previous Total plus the Check value
New Total minus Previous Total equals the Check value
Her new total is - Tasta's bank account was = Check value
PLEASE HELP WILL MARK YOU IF YOU HELP ME
Answer:
b + 79 =180
b =180-79
=101
Help ASAP pls I will give brainlist
Answer:
Step-by-step explanation:
There is a issue here...
is the spotted blue section considered "a blue sector"?
Assuming that "blue" or "red" is only a solid blue or red, this is the answer...
1) (1/10)* (3/10) = .03
2) (3/10) * (3/10) = 9/100 = .09
3) (3/10) * (1/10) = 3/100 = .03
4) (4/10) * (3/10) = 12/100 = .12
if the spotted blue and the solid blue are considered blue then this would be the result ...
1) (1/10)* (3/10) = .03
2) (4/10) * (3/10) = 12/100 = .12
3) (3/10) * (1/10) = 3/100 = .03
4) (8/10) * (3/10) = 24/100 = .24
if 4+1=17
5+2=27
6+3=42
8+4=88
then 9+5=?
Answer:
127
Step-by-step explanation:
by............doing this .
Which of the following is equal to the rational expression
below when x+2 or 9?
4(x - 2)
(x - 2)(x-9)
Answer:4/x-9
Step-by-step explanation:
Solve the inequality −14z<−37, and write the solution in interval notation.
Answer:
z is greater than 27/14
z € ( 37/14 ∞)
Use the correct function to find the missing angle y measurement to the
nearest whole degree. Then using the checkboxes, select the function you
used, and the answer you found rounded to the nearest degree. (SELECT
2 ANSWERS - READ CAREFULLY) Work points are build into the results. *
18 in
yo
20 in.
Cos
Tan
64 degrees
Sin
42 degrees
26 degrees
Answer:
Cos;
26 degrees
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = y°
Adjacent side = 18 in.
Hypotenuse = 20 in.
We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:
Cos y° = Adj/Hyp
Cos y° = 18/20
Cos y° = 0.9
y° = cos^{-1}(0.9)
y = 25.8419328° ≈ 26 degrees (nearest whole degree)
The answers are:
Cos and 26 degrees
WILL MARK BRAINLIEST PLEASE HELP
a survey of boys and girls in second grade was conducted asking whether or not they like pizza. The partially completed two-way table shows results of the survey. How many boys were included in the survey?
Step-by-step explanation:
answer is in the above photo
there are 29 boys total
Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown.
Answer:
The answer is B) x = 8x² + 34; 45.52 centemiters
Step-by-step explanation:
Find the distance between the points (0, -3) and (4, 0).
A. 7
B. 1
C. 25
D. 5
9514 1404 393
Answer:
D. 5
Step-by-step explanation:
The distance formula is good for finding the distance between two points.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -0)² +(0 -(-3))²) = √(16 +9) = √25
d = 5
The distance between the points is 5 units.
_____
You may notice that the line between the points makes a 3-4-5 right triangle with the coordinate axes.
In a group of students. 20 study Account. 21 Study mathematics 18 study history 7 study account only 10 study mathematics only 6 study account and mathematics only and 3 study mathematics and history only.how many student are there altogether
Answer:
In total there are 50 students.
Step-by-step explanation:
Since in a group of students 20 study account, 21 study mathematics, 18 study history, 7 study account only, 10 study mathematics only, 6 study account and mathematics only and 3 study mathematics and history only, to determine how many student are there altogether the following calculation must be performed:
7 + 10 + 6 + 3 = 26
Account = 20 - 7 - 6 = 7
Mathematics = 21 - 10 - 6 - 3 = 2
History = 18 - 3 = 15
26 + 7 + 2 + 15 = X
50 = X
Therefore, in total there are 50 students.
Yvonne ran up 1/4 of the total flights of staris in an office building and walked up the rest of she
walked up 9 flights of stairs, how many flights did she run up?
3
9
12
27
36
Rewrite the equation by completing the square.
4x² + 20r + 25 = 0
(x+...)^2=...
Answer:
The equation [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex] is equal to [tex]\left(x + \frac{5}{2} \right)^{2} = 0[/tex].
Step-by-step explanation:
Let be the equation [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex], we proceed to rewrite the equation solely by algebraic means:
1) [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex] Given
2) [tex](2\cdot x)^{2} + 10\cdot (2\cdot x) + 25 = 0[/tex] Definition of power/Associative property
3) [tex](2\cdot x + 5)^{2} = 0[/tex] Perfect square trinomial
4) [tex]2^{2}\cdot \left(x + \frac{5}{2} \right)^{2} = 0[/tex] Distributive property/[tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]
5) [tex]4\cdot (x + \frac{5}{2} )^{2} = 0[/tex] Definition of power
6) [tex]\left(x + \frac{5}{2} \right)^{2} = 0[/tex] Compatibility with multiplication/Commutative and modulative properties/[tex]a\cdot 0 = 0[/tex]