3(x + 3) − 2 < 4
does anyone know this?
Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1
Step-by-step explanation:
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
Answer:
Inequality Form: x < −1
Interval Notation: (−∞, −1)
Step-by-step explanation:
3 (x + 3) −2 < 4
Simplify 3 (x + 3) − 2.
Apply the distributive property.
3x + 3 ⋅ 3 − 2 < 4
Multiply 3 by 3.
3x + 9 − 2 < 4
Subtract 2 from 9.
3x + 7 < 4
Move all terms not containing x to the right side of the inequality.
Subtract 7 from both sides of the inequality.
3x < 4 − 7
Subtract 7 from 4.
3x < −3
Divide each term by 3 and simplify.
x < −1
The result can be shown in multiple forms.
Inequality Form: x < −1
Interval Notation: (−∞, −1)
Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next door, five kangaroos were jumping on a bed. Being more adept at jumping, there is only a 20% that a kangaroo will fall off the bed.
1. What are the chances that a monkey and a kangaroo will fall off the bed?
2. What are the chances that a monkey will not fall off the bed?
3. If the monkeys enjoy this activity every night for an entire week, what are the chances that a monkey falls off the bed every one of the seven nights?
4. What are the chances that if the monkeys jump every day for a week that at least one will fall off of the bed?
5. What are the chances that the kangaroos can get away with jumping on the bed for 4 straight nights until they finally have someone fall off the bed on the night?
6. What are the chances that the kangaroos can jump two nights in a row with no one falling off the bed?
7. The monkeys manage to go a whole week without someone bumping their head. One of the kangaroos insists that they are due for an injury. Another says they must be getting better at their jumping skills. Do you think they're due for a crash?
Answer:
0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12
Step-by-step explanation:
Given :
Number of monkeys, n1 = 10
Probability of fall, off ; p(m) = 35% = 0.35
Number of kangaroos, n2 = 5
Probability of fall, off : p(k) = 20% = 0.2
1.) A monkey and kangaroo falls off;
p(m) * p(k) = 0.35 * 0.2 = 0.07
2.) probability that monkey will not fall off;
1 - p(m) = 1 - 0.35 = 0.65
3.) probability that a monkey falls off every one of seven nights :
P(m) = 0.35 ; for 7 nights ;
0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875
4.)
P(x ≥ 1) = p(1) + p(2) +... + p(10)
Using binomial probability calculator :
n = 7*10 = 70 ; p = 0.35
P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12
The graph of the function f(x) = (x + 2)(x - 4) is shown.
A. all real values of x where x < -2
B. all real values of x where -2
C. all real values of x where 1
D. all real values of x where x <0
Answer:
B) All real values of 'x' where -2 < x< 4
Step-by-step explanation:
Explanation:-
Given function f(x) = (x +2 ) ( x-4)
(x+2)(x-4) =0
⇒ x +2 =0 and x-4=0
⇒ x =-2 and x=4
From graph
Given parabola lies between the x=-2 and x =4
∴ All real values of 'x' lies between x=-2 and x =4
All real values of 'x' lies -2 < x< 4
Has 256 and 81 already been squared?
8th grade math
Please answer ASAP (i'm being timed)
solve for x: x/-5+6≤2
Answer:
x ≥ 20
Step-by-step explanation:
hope this helps!
Answer:
x>= 20 or 20≤x
Step-by-step explanation:
Isolate x
Subtract 6 from both sides:
x/-5<=-4
Multiply both sides by -5, and switch the inequality sign bc u multiplied by a negative number:
x>= 20
The selling price of a refrigerator is $487.20. If the mark up is 5% of the dealers cost what is the dealers cost of the refrigerator
Answer:
$464Step-by-step explanation:
Let the cos be x, then selling price is:
x + 5% = x*1.05 = 1.05xWe have the selling price $487.20
1.05x = 487.20x = 487.20/1.05x = 464Cost price is $464
Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?
A. 19
B. 11
C. 9
D. 6
Answer:
D. 6
Step-by-step explanation:
Please help me i only have few hours left i need as much as I can ge. ill get you brainliest and send you free mr.beast merch
Answer:
26cm²
Step-by-step explanation:
Perimeter
2x - 4 + 5x - 13 + x + 9 = 40
8x - 8 = 40
8x = 40 - 8
8x = 32
x = 4
Sides of the triangle
Height = 2x - 4 = 2 x 4 - 4 = 4cm
Hypotenuse = 5x - 13 = 5 x 4 - 13 = 7cm
Base = x + 9 = 4 + 9 = 13cm
Area of triangle
= 1/2 x base x height
= 1/2 x 13 x 4
= 26cm²
Hope this helps
Answer:
26 cm
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Marking brainliest
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% what is the concentration in the new mixture (round to one decimal place)
Answer:
[tex]23.1\%[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be 11.1 grams of sugar and 48 total grams of content.
The concentration of sugar in the new mixture is [tex]\frac{11.1}{48}=\fbox{$23.1\%$}[/tex](rounded to one decimal place).
The concentration in the new mixture is 23.1%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
Stefanie's 18-gram combination has 20% sugar. As a result, her syrup contains grams of sugar.
John's 30-gram combination contains 25% sugar. As a result, her syrup contains grams of sugar.
As a result, if they combine their syrups, there will be 11.1 grams of sugar and 48 total grams of the substance.
The new combination has a sugar percentage of 11.1/48 = 23.1%. (rounded to one decimal place).
Learn more about the percentages here:
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Which of the following shows a reflection of the triangle over the horizontal axis?
Answer:
I think the first one is the answer
If point C is the circumcenter, find each missing value(picture attached)
Answer:
d
Step-by-step explanation:
The formula shown can be used to find A the amount of money Raul has in his saving account Raul wants to find r the rate of interest his money earns which equation is correctly solved for r
Answer: r= A-P/ Pt
Step-by-step explanation: ur welcome
The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.
Here,
The formula shown can be used to find A the amount of money Raul has in his saving account.
Raul wants to find r the rate of interest his money earns.
We have to find the equation is correctly solved for r.
What is Rate of interest?
The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Now,
The formula which shown to find A is;
A = P + Prt
Hence, equation is correctly solved for r is;
[tex]A = P + Prt\\\\A-P = Prt\\\\r = \frac{A-P}{Pt}[/tex]
So, The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.
Learn more about the rate of interest visit:
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Find the length of side x in simplest radical form with a rational denominator.
60
X
5
30
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
Sin 30 = 5/x
Sin 30 = 1/2
x = 10
The length of the side x is 10.
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
The length of side x can be calculated using the trigonometric identities.
We know that,
Sin x = Perpendicular / Hypotenuse
Sin 30 = 5 / x
1/2 = 5/x
Multiply 2 on both sides.
1= 10/x
x = 10
Thus,
The length of the side x is 10.
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Which expression simplifies to 8x^5?
Answer:
32768x^5
Step-by-step explanation:
[tex] {8x}^{5} [/tex]
...
The equation of the line
Answer: y = 2
Step-by-step explanation: Horizontal means y =
Answer:
○ [tex]\displaystyle y = 2[/tex]
Step-by-step explanation:
This is a STRAIT HORISONTAL LINEAR EQUATION, therefore sinse every x-coordinate will have the same y-coordinate of [tex]\displaystyle 2,[/tex] this is the option you would pick.
I am joyous to assist you at any time.
Jim has ridden 24 miles of a bike course. The course is 40 miles long. What percentage of the course has Jim ridden so far?
Answer:
-
Step-by-step explanation:
PLEASE HELP ME
4x+1/3 y^2
x=2
y=3
I NEED ANSWER ASAP!!! is the mapping a fun or not a function
Answer:
function
Step-by-step explanation:
pls brainly give
1 2 3 4 5
Submit
brit
An investment club invested $5000 at 2.5% interest and was able to earn $1200. Approximately how many years did this take?
les)
A)
8
B)
10
12
D)
14
Ratios and Proportional Relationships
S7 Sleutstep Retro And Percent Problers
DS
Hint
Formula
Regular dal
Scientifie cald
Answer:
10
Step-by-step explanation: i took the test
Can someone please help me?
dotted line that is at (0,1) then the dotted line goes up to the right and also down to the left so for going up its 1 up 1 over and then also draw a line on the orgin 0,0 that goes in the opposistedirection so left up one to the left one and do that corner to corner that line is filled in and then to get your anwser shade in the area below your secoundline to the bottom of the first line which is going to be bottom left of your graph step-by-step explanation:
What is 23.93 in to a percent pls help pls pls pls pls pls
Answer:
it is : 2393%
Step-by-step explanation:
Answers ASAP simplify the ratio answer both questions
Answer:
The answers are 40 : 1 and 16 : 5
Step-by-step explanation:
3. ) 400 : 10
Cancel out two of the zeros to get-
40 : 1
6. ) 1600m : 5km
1 km = 100 m, Therefore-
1600 : 500
Cancel out the zeros to get-
16 : 5
PLEASE HELP IT IS 6th GRADE MATH!!!!!
Answer:
19
Step-by-step explanation:
[tex]\frac{17b - a^{2} }{2}[/tex]
Substitute the "a" and "b"
a = 8
b = 6
[tex]\frac{17 * 6 - 8^{2} }{2}[/tex]
[tex]\frac{17 * 6 - 64}{2}[/tex]
[tex]\frac{102 - 64}{2}[/tex]
[tex]\frac{38}{2}[/tex]
[tex]19[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Working as a waiter, Michael earns $7 an
hour plus tips. Last night he received $35 in tips and earned a total of $84. How
many hours did he work?
Answer:
7Hrs because 84-35=49
49/7=7
The manager of a magazine wants to estimate the percent of magazine subscribers who approve of a new cover format. To gather data, the manager will select a random sample of subscribers. Which of the following is the most appropriate interval for the manager to use for such an estimate?
a) A two-sample z-interval for a difference between sample proportions
b) A two-sample z-interval for a difference between population proportions
c) A one-sample z-interval for a sample proportion
d) A one-sample z-interval for a population proportion
e) A one-sample z-interval for a difference between population proportions
Answer: d) A one-sample z-interval for a population proportion
Step-by-step explanation:
For the scenario described above, since only a single sample pool is required from a single population, then ; The one sample Z interval for a population proportion is required ;
The interval may be calculated using the relation :
Z = (p - p0) / √[(p0(1 - p0)) / n]
p = observed proportion ;
p0 = mean or hypothesized value
n = sample size
Answer:
A two-sample z -interval for a difference in population proportions
Explanation:
A two-sample z-interval is appropriate for estimating the difference between two population proportions.
Help ASAP please giving brainliest!!
Answer:
2 hours
Step-by-step explanation:
Kyle's doctor told him that in order to lose weight, he needs to eat less than 2,000 calories a day. He eats 875 calories for breakfast and than 3 protein smoothies. How many calories can the protein smoothies have to reach his goal?
Answer:
375 calories each
Step-by-step explanation:
2000-875=1125
1125/3=375
Write down the next term in each of the following sequences
a)
12
17
22
27
b)
83
77
71
65
given each pair of similar triangles find the missing value. of LJK=PQR find x
Answer:
1
Step-by-step explanation: