Let's solve this inequality.
First of all, subtract 8 from both sides:-
[tex]\sf{-3x < 20-8}[/tex]
[tex]\sf{-3x < 12}[/tex]
Divide both sides by -3:-
[tex]\sf{x > -4}[/tex]
Notice that the inequality sign changed...
Here's the rule:-
When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...
So these are the values of x that will make the inequality true:-
[tex]\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}[/tex]
Well, -3 is greater than 4 :)
Let's plug it in and see if it makes the inequality true:-
-3>-4
Yes, it does make the inequality true :)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Set up a system of equations for the given word problem:
Tyrone placed two orders with a nursery. The first order was for 10 bushes and 6 trees, which totaled $568. The second order was for 9 bushes and 3 trees, which totaled $348.
-
Set up a system of equations for the given word problem:
The admission fee at a small fair is $3.50 for children and $6.00 for adults. On a certain day, 1500 people enter the fair and $7,580 is collected.
Answer:
For the first problem:
10b + 6t = 568
9b + 3t = 348
For the second problem:
c + a = 1500
3.50c + 6a = 7580
Write 23/12 as a mixed number.
Hey there!
23/12
= 23/1 ÷ 12/1
= 23/1 × 1/12
= 23(1) × 1(12)
= 23/12
≈ 1 11/12
Those steps above are somewhat easier to solving your given equation!
Anyways, your answer is: 1 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
the answer is 1 11/12
Step-by-step explanation:
we know that 23 can fit once into 12,
so we can subtract 23 by 12 to get 11
now, we have 1 11/12
1 11/12
To which family does the function y = (x 2) superscript one-half baseline 3 belong? quadratic square root exponential reciprocal
The function y = √(x + 2) + 3 is a quadratic function. Then the correct optin is A.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The equation is given below.
[tex]y = (x+2)^{1/2} + 3[/tex]
The equation can be written as
[tex]y - 3= (x+2)^{1/2}[/tex]
Square on both sides, we have
[tex]\begin{aligned} (y - 3)^2 &= [(x+2)^{1/2}]^2 \\\\x + 2 &= y^2 + 9 -6y \\\\x &= y^2 -6y +7 \end{aligned}[/tex]
The equation is a quadratic equation.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Answer:
A) Quadratic
Explanation:
Hope you have a great day!
Ralphie is taking a ten-question multiple choice test. Each question has five choices. If Ralphie answers a question
correctly, he earns one point; if he answers incorrectly, he loses half a point. Ralphie answers the first six questions
correctly, then guesses on the last four. What is the expected value of his test score? Round the answer to the nearest
whole percent.
Using the binomial distribution, it is found that the expected value of his test score is of 6.8.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, the parameters are given as follows:
For the first 6 questions, n = 6 and p = 1.For the last 4 questions, n = 4 and p = 1/5 = 0.2.Hence, the expected score is given by:
E(X) = 6 x 1 + 4 x 0.2 = 6.8.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Answer:
A.
Step-by-step explanation:
A cylinder has a radius of 19 millimeters. Its volume is 22,670.8 cubic millimeters. What is the height of the cylinder?
Answer:
19.99
Step-by-step explanation:
use the formula
[tex]\pi {r}^{2} h = v[/tex]
change it up so that you solve for height
[tex] \frac{v}{ {r}^{2} \times \pi } = h[/tex]
substitute values in and solve
Answer:
20.00 mm to the nearest hundredth.
Step-by-step explanation:
V = π r^2 h
22,670.8 = π * 19^2 * h
h = 22,670.8 / π * 19^2
= 22,670.8 / 1134.115
= 19.9899
What is the domain and range?
Answer: domain: [-6,6] range: [-4,3]
Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value
Please Help Me ASAP.
Answer:
x > -10
Step-by-step explanation:
5 - 3x > 35
-5 -5
-3x > 30
[tex]\frac{-3x > 30}{-3}[/tex]= x > -10
Last one, I promise!!! ._.
19x+28=20x-53
Answer:
x = 81
Step-by-step explanation:
Given:
[tex]\displaystyle \large{19x+28=20x-53}[/tex]
Subtract both sides by 28:
[tex]\displaystyle \large{19x+28-28=20x-53-28}\\\displaystyle \large{19x=20x-81}[/tex]
Subtract both sides by 19x:
[tex]\displaystyle \large{19x-19x=20x-81-19x}\\\displaystyle \large{0=x-81}[/tex]
Add both sides by 81:
[tex]\displaystyle \large{0+81=x-81+81}\\\displaystyle \large{81=x}\\\displaystyle \large{\therefore x=81}[/tex]
Therefore, the solution is x = 81
Let me know if you have any questions!
[tex]{\boxed{\mathfrak{✿ฺSolution :}}} [/tex]
[tex] \bold{ 19x+28 = 20 x - 53 }[/tex]
[tex] \bold{ 19x+28 - 28 =20x - 53 - 28}[/tex]
[tex]\bold{ 19x = 20x - 81 }[/tex]
[tex]\bold{ 19x - 20x = 20x - 81 - 20x }[/tex]
[tex]\bold{ -x = - 81 }[/tex]
[tex]\bold{ \frac{ - x}{ - 1} = \frac{ - 81}{ - 1} }[/tex]
[tex] \bold{ x = 81 }[/tex]
2x+5y < 19 and x-2y <-9
Solve the system of equation and graph it.
Answer:
see attached
Step-by-step explanation:
The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.
__
If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:
ax +by = c
This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.
2x+5y<19slope: -2/5
y-intercept: 19/5 = 3.8
points on the line: (7, 1), (2, 3)
The general form ...
x < ( ) . . . . means the line is dashed and shading is to the left.
__
x-2y<-9slope: 1/2
y-intercept: 9/2 = 4.5
points on the line: (1, 5), (-3, 3)
The general form ...
x < ( ) . . . . means the line is dashed and shading is to the left.
__
Solution RegionThe lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.
_____
Additional comments
The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)
To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...
x < ( ) . . . . . shading left of the dashed liney < ( ) . . . . . shading below the dashed line__
In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...
x < ( ) . . . . . shading left of the dashed lineIf we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...
y > ( ) . . . . . multiply by -1/2( ) < y . . . . . add the opposite of the y-termEither way, the shading is above the dashed line.
__
About points on the line:
The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.
PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE!
Answer:
Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7
Answer:
The two solutions: 7/8 & 0.92
Step-by-step explanation:
[tex]\frac{5}{7} =0.714[/tex]
7/8 = 0.875, because 0.875 [tex]\geq 0.714[/tex]
0.92 because [tex]\geq[/tex] 0.714
Hope this helps
Four eggs are required to make two duzzen muffins. how many eggs are needed to make 5 dozen muffins
Answer:
20 eggs
Step-by-step explanation:
4 = 24 muffins
4*5 = 20
20 = 60 muffins
Good Luck!
im stuck hahahahahahha lol
Answer:
r=53 degrees
______
yan po
omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!
Answer:
x = 45, y = 24.
Step-by-step explanation:
If the 2 numbers are x and y:
x + y = 69...........(1)
x = 2y - 3
x - 2y = -3...........(2)
Subtract: (1) - (2):
x - x + y - (-2y) = 69 - (-3)
y + 2y = 72
3y = 72
y = 24.
From equation 1:-
x + 24 = 69
x = 45.
Answer:
one number would be 63 and the other would be 6
Step-by-step explanation:
69/2=34.5
it says 3 less which means minus 3, so you would:
34.5-3=31.5
then it says twice the smaller number, so you would:
31.5*2
PLEASE HELP ME OUT AND PLEASE
Answer:
65⁰ because the opposite angles of parallelogram are equal...
Please help!! thanks!
Answer:
C. (5, 1)
Step-by-step explanation:
Because the slope of F and G is 2, we know that the other points with the same distance are also going to have a slope of ±2. The only answer choice that fits this criteria is C
Hope this helps!
The first three and last terms of an arithmetic sequence are 7, 13, 19,..., 1357.
(a) Find the common difference.
Answer:
6
Step-by-step explanation:
common difference = (n + 1) - nth term = 13 - 7 =6
Answer:
subtract 6 every time
Step-by-step explanation:
you subtract first term from second term
-8 . (-10+(-7))
Please help im stuck on this.
Answer:
136.
Step-by-step explanation:
-8 . (-10+(-7))
= -8*-10 + - 8*-7
= 80 + 56
= 136.
66 books in 2 boxes how meany
books per box?
Answer:
33
Step-by-step explanation:
HELP PLEASEE!!!
A prism is filled with 25 cubes with 1/2-unit side lengths. What is the volume of the prism in cubic units?
Answer:
3.125 cubic unit i guess
Answer:
3.125 unit cube is the answer i hope i helped u
The figure below is made up of unit cubes that each have a volume of 1 cubic centimeter.
A. 7
B. 9
C. 11
D. 13
HELP PLEASE
Answer:
c. 11
Step-by-step explanation:
Bottom row: 6 cubes
middle row: 4 cubes
top row: 1 cube
11 cubes total.
A tortoises walking in the desert it walks for six minutes at a speed of 7.68 m per minute. For how many meters does it walk
Answer:
It walks 46.08 meters
Step-by-step explanation:
It states that the toriose's speed is 7.68 m per minute, all we have to do is 7.68 m per minute times 6 minutes.
7.68 * 6 = 46.08
It walks 46.08 meters
if A(x) = -x^2 + 4, B(x) = -3x - 4, and C(x) = 5x^2 + 2x, form a simplified expression for A(x) + B(x) + C(x).
Answer:
5x² - x - 4
Step-by-step explanation:
B(x) + C(x)
= - 3x - 4 + 5x² + 2x ← collect like terms
= 5x² - x - 4
Nicholas bought 776.25 ounces of chocolate. 213.46 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Nicholas buy?
If b= 110 degrees and a= 50 degrees, what is the value of x?
I think you're question is incomplete or is missing an attachment.
Find the missing angle
Answer:
68 degrees.
Step-by-step explanation:
A right angle is 90 degrees. If you subtract 90-22 you will get 68.
1. The equation of a circle is x² + y² - 4x +2y-11-0. What are the center and the radius of the circle?
www
Show your work.
Answer:
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Circles,
so we get as,
centre as ==> ( -g, -f) ==> (2,-1)
brainliest if right so who can get it right
Answer:
1. E: 20a - 18
2. D: 42
3. G: 17b + 3
4. I: 105
CODE: EDGI
Step-by-step explanation:
Question 1
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
width = 2a + 3length = 8a - 12Perimeter = 2(2a + 3) + 2(8a - 12)
= 4a + 6 + 16a - 24
= 20a - 18
Question 2
When a = 3
⇒ perimeter = 20(3) -18
= 60 - 18
= 42 centimeters
Question 3
The dashes on the side lengths mean those sides are equal in length.
⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)
= 17b + 3
Question 4
When b = 6
⇒ perimeter = 17(6) + 3
= 102 + 3
= 105 meters
The original price is $125. The sale price is $81.25. How much was the discount as a percent?
Answer: 35%
Step-by-step explanation:
Start by subtracting the original price by the sale price.
125-81.25=43.75
Now divide that amount by the original price.
[tex]\frac{43.75}{125} =0.35[/tex]
Multiply that value by 100 for the answer
0.35×100=35
35%
Answer:
Discount Percent = 35.00 %
Step-by-step explanation:
125-81.25=43.75 actual discount
43.75/125 = 0.35 actual discount / original
0.35 as percentage = 35%
i need help with #7 c and d
Answer:
c. 33.0%
d. 14.5%
Step-by-step explanation:
For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.
__
c.Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...
32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard
__
d.The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...
24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard
_____
Additional comment
a. 97/166 ≈ 58.4% surf
b. 89/166 ≈ 53.6% do not skateboard
__
This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with frequencies. Such tables can also display relative frequencies by dividing the entire table by the total of totals in the lower right corner.
HELPPP!!!! URGENTT!!!!
Answer:
The answer is the 1
Step-by-step explanation:
She has a less chance because there are 4 questions with 4 answers so that decreased her chances.