Which are solutions of 1 < 3x-2 < 13? Choose all correct answers.
PLEAE HELP ME AND ANSWER CHOICES ABOVE!!
Answers
Answer: D. 5 > x > 1
1 < 3x -2 < 13
<=> 3 < 3x < 15
<=> 1< x < 5
Step-by-step explanation:
x>1 and x<5 and 1<x<5 are the solution of the inequality 1 < 3x-2 < 13.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 1 < 3x-2 < 13
One less than three times of x minus two less than thirteen.
We need to find the solution of the inequality.
Let us divide the given inequality into two parts
3x-2>1 and 3x-2<13
For first inequality
3x-2>1
3x>3
x>1
and the second inequality 3x-2<13
3x<15
x<5
Hence, x>1 and x<5 and 1<x<5 are the solution of the inequality 1 < 3x-2 < 13.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
Related Questions
What transformation moves Frame 1 to Frame 2?
A) Translation
B) Rotation
C) Reflection
D) Dilation
Answers
A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?
Answers
Answer:
30 degrees
Step-by-step explanation:
Tom had 54 songs on his MP3 player. If he deleted 9 songs, what is the ratio of songs he kept to songs he deleted?
Answers
Answer:
6:1
is the right answer
Step-by-step explanation:
Answer:
45:9 or 49 to 9
Step-by-step explanation:
If you subtract 54-9 because the question is asking what is the the ration from what he KEPT after he deleted 9 so you would subtract so the answer wouls be 45:9 or 49 to 9
What is the equation in slope intercept form of the line that passes through the points (-4, 47) and (2, -16)?
Answers
Answer:
slope intercept form- y= -21/2x +5
Point slope form= y-47=-21/2 (x+4)
Step-by-step explanation:
Use inductive reasoning to predict the next line in this sequence of computations. Then use
a calculator or perform the arithmetic by hand to determine whether your conjecture is
correct.
9.3+5 = 32
99.3 + 5 = 302
999. 3+5 = 3002
9999.3+5 = 30002
Make a conjecture by predicting the correct numbers in the line below.
0-3+5 -0
Is the conjecture correct?
O A. Yes
OB. No
Answers
Answer and explanation:
Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.
B. The conjecture 0-3+5 -0 is incorrect
Given the above sequence of computations, we use inductive reasoning to predict the next computation
The correct next conjecture is
99999.3+5= 300002
Peter is planting trees in his yard. He wants the ratio of pine trees to oak trees to be 3 to 2. Peter wants to plant a total of 45 trees. How many pine trees should he plant?
Answers
Answer:
Step-by-step explanation:
Let the ratio of pine tree to oak tree=3x:2x
Where no. Of pine tree =3x
No. Of oak tree=2x
Total no. Of tree = 3x+2x=45
5x=45
X=9
So no. Of pine tree=3x=3x9=27 tree is answer
Write 3 quadratic equations that are NOT
equivalent, each forming a graph with vertex (-2, 3)
Answers
Answer:
the vertex of a quadratic equation:
a*x^2 + b*x + c = y
Is located at:
x = -b/2a.
In this case, x = -2
Then:
-b/2a = -2.
And we also have that:
a*(-2)^2 + b*-2 + c = 3
Then we have two equations:
-b/2a = -2
a*(-2)^2 + b*-2 + c = 3
We have only 2 equations and 3 variables, so we can just give the variable c different values and we will find different quadratic equations that are not equivalent.
Let's begin with c = 0, our equations are:
-b/2a = -2
a*(-2)^2 + b*-2 + 0 = 3
In the first equation we can isolate b and get:
b = 4*a
Now we can replace this in the other equation and solve this for a.
a*4 + 4*a*-2 = 3
-4*a = 3
a = -3/4
then:
b = 4*a = 4*-3/4 = -3
The first quadratic equation is:
(-3/4)*x^2 - 3*x = y.
Now, to find the second let's use a different value of c.
c = 1
b = 4*a
a*(-2)^2 + b*-2 + 1 = 3
Let's solve in the same way as before:
a*4 + (4*a)*-2 + 1 = 3
-4*a = 2
a = 2/-4 = -1/2
b = 4*-1/2 = -2.
Then our equation is:
(-1/2)*x^2 - 2*x + 1 = y
For the last equation, let's use c = 2.
then our equations are:
b = 4*a
a*(-2)^2 + b*-2 + 2 = 3
Same as before, replace the first equation in the second.
a*4 + (4*a)*-2 + 2 = 3
-4*a + 2 = 3
-4*a = 1
a = -1/4
Then:
b = 4*(-1/4) = -1
Our third equation is:
(-1/4)*x^2 - 1*x + 2 = y
Now, below you can see all of them graphed.
Where red is the first one, blue the second and green the third one. (and as you can see, all of them share the vertex (-2,3) )
Consider that x = 5 and y = 7. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Answers
Answer:
The answer is 12
Step-by-step explanation:
because 7 plus 5 is 12
Last one pls help me
Answers
Answer:
√89
Step-by-step explanation:
I assume you have to find the short cut, right?
5² + 8² = 25 + 64 = 89 = ( √89 )²
Conocido popularmente como el Lanzón, es una escultura elaborada por la cultura Chavín de Perú. Este gran monolito data, aproximadamente, del año 1000 a. C. y está situado en el Viejo Templo del centro religioso y ceremonial de Huantar.
Cierto día en una visita cultural, Pedro decide representar el Lanzón Monolítico con una escala de 1:103 cuya medida es de 4,41 cm.
Teniendo en cuenta los datos de la situación. ¿Cuánto mide la altura real exacta del Lanzón en metros?
Answers
Answer:
La altura real del Lanzón Monolítico es de 453.23 centímetros, o 4.53 metros.
Step-by-step explanation:
Dado que la representación a escala del Lanzón Monolítico mide 4,41 centímetros, y que dicha escala tiene un valor de 1:103 respecto de la medida real de la escultura, para representar la altura real de la misma se requiere realizar el siguiente cálculo:
1 = 4,41
103 = X
(103 x 4,41) / 1 = X
454.23 = X
Por lo tanto, la altura real del Lanzón Monolítico es de 453.23 centímetros, o 4.53 metros.
Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip? What is the total amount for his meal plus tip?
Answers
Answer:
Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip?
Yul should leave 20% tip of
14.50 * 0.20 = 2.9
If right will give brainiest
On two examinations, you have grades of 87 and 89. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of A, meaning a final average of at least 90.
What must you get on the final to earn an A in the course?
Answers
Answer:2
Step-by-step explanation:
Answer:
You must get at least a 94
Step-by-step explanation:
94 + 89 + 87 = 270
270 / 3 = 90
Karina is showing her steps to solve the expression −26.7 ÷ one third. (1 point) In which step did Karina make an error? Step 1: −26.7 ÷one third Step 2: −26.7 ⋅ −3 Step 3: 80.1
Answers
Answer:
step 2
Step-by-step explanation:
step 2 is supposed to be (-26.7 multiply by 3) since the reciprocal of 1/3 is 3 and not -3. the answer should be -80.1 instead of 80.1
A line has the equation y = 1/3x - 5 . Find the equation of a parallel line passing through the point (3, 2).
Answers
Answer: y=1/3x+1
Y needs to be changed in order to maintain parallelism.
Good Luck!
Answer:
The answer is y=1/3x+1
Step-by-step explanation:
y=mx+b
m=1/3
y-y=m(x-x1)
y-2=1/3(x-3)
y-2= 1/3x-1
+2 +2
y=1/3x+1
The birth weights of newborn babies in the United States follow a normal distribution with a mean of 3.4 kg and a standard deviation of 0.6 kg. Researchers interested in studying how children gain weight decide to take random samples of 100 newborn babies and calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
Answers
Answer:
3.4 kg
0.06 kg
Step-by-step explanation:
Given that:
Birthweight follows a normal distribution :
Mean weighf (m) = 3.4 kg
Standard deviation (σ) = 0.6 kg
Sample size (n) = 100 new born babies
calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.
Hence, sample mean birth weight = 3.4kg
Standard deviation of sampling distribution = standard error = σ/√n
0.6 / √100
= 0.6 / 10
= 0.06 kg
Using the Central Limit Theorem, it is found that:
The mean is of 3.4 kg.The standard deviation is of 0.06 kg.Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.In this problem:
Mean of 3.4 kg, hence [tex]\mu = 3.4[/tex].Standard deviation of 0.6 kg, hence [tex]\sigma = 0.6[/tex].Samples of 100, hence [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]Hence, the mean of the sampling distribution is of 3.4 kg and the standard deviation is of 0.06 kg.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213
What is the area of this figure
Answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve by factoring.
x^2 + 6x = -9. Hint: This is a double root.
Answers
Answer:
x=-3
Step-by-step explanation:
my work is in the picture. lmk if you need me to explain more
Pencils cost 25 cents apiece. Rulers cost 80 cents
apiece. Susan spent $20 for a total of 36 rulers and
pencils. How many pencils did she buy?
Answers
Answer:
She bought 16 pencils
Help please and please explain
Answers
Answer:
1st question example. all you have to do is write ∠XV, ∠VW, ∠WX
Step-by-step explanation:
the ∠ means the angles. so each angle has a degree. Just list them shortest angle to longest angle.
Graph the line
y=-4x+2
‼️will make brainliest‼️
Answers
Answer:It would be -4 across and go two up
Step-by-step explanation:
Answer:
It would be -4 across and go two up
Step-by-step explanation:
John completed 24 math problems in 6 minutes. How many does he complete per minute
Answers
Answer:
it would take him a minute to complete 4 problems
Answer:
4 problems per minute.
Step-by-step explanation:
Divide 24 by 6 and you would get 4.
Check: 6 x 4 = 24
6, 12, 18, 24
Hope this helps!
~Jerc~
write your answer as a fraction or as a whole or mixed number 5 3/4 times 2 1/3
Answers
Answer:
13 5/12
Step-by-step explanation:
Step-by-step explanation:
5 3/4 X 2 1/3
=23/4 X 7/3
=161/12
BRAINLY FOR RIGHT ANSWER AND STEP BY STEP LOTS OF POINTS BTW
A car’s fuel economy E(miles per gallon) is given by the formula E=mg, where m is the number of miles driven and g is the number of gallons of fuel used.
Solve the formula for m.
If Sally’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive?
Answers
Answer:
60 miles
Step-by-step explanation:
. f(-5) = 5, f (0) = 10
Answers
Answer:
On the screenshot (y=x+10)
Step-by-step explanation:
Have a great day!
Can somebody plz answer all of them correct! (Only if u done this before)
thanks! WILL MARK BRAINLIEST
(Don’t judge me..I didn’t study so I need to do corrections)
Answers
Answer:
23) 53/100
24)2/5
25)3/5
26)11/50
27)17/50
28)19/1000
29)4/5
30)1/250
31)9/25
32)1 3/10
33)11 1/2
34) 7 3/40
Step-by-step explanation: Hope this helps!
what is the answer to 805÷24 plz tell me
Answers
Answer:
33.5416666667
Step-by-step explanation:
805/24 math problems division = 33.5416666667. Therefore 33.5416666667 to 2 decimal places= 33.54
805/24 divided by 2 » (805/24) ÷ 2 » 33.5416666667 ÷ 2 = 16.7708333333 . Check 805/24 long division below
-(-2-n) simplify please
Answers
Answer:
2 - n
Step-by-step explanation:
Subtract a negative is the same thing as adding a positive, so -(-2 - n) is the same thing as 2 - nWhat we did there was cancel out the two minus signs, and formed a positive.I hope this helps!
Math inequality help
Answers
A local bookstore tracked the type of payments people make at their store. Out of 100 people, 40 paid with cash, 55 paid with a credit card and 5 used a gift card. Based on this information, what is a reasonable prediction of the number of people paying with cash if they had 600 customers?
Answers
Answer:
Cash = 240, Credit = 330, Gift = 30
Step-by-step explanation:
We know from this the precentage of people using different payment methods
Cash = 40/100 = 40%
Credit card = 55/100 = 55%
Gift card = 5%
We can then find the number of people using each method regardless of total amount of people
Cash = 40% * 600 = 240
Credit = 55% * 600 = 330
Gift card = 5% * 600 = 30
Total = 240 + 30 + 330= 600
Answer:
240
Step-by-step explanation:
Set up a proportion. Out of 100 people, 40 people paid with cash. Out of 600 people, x people paid with cash.
[tex]\frac{40}{100} =\frac{x}{600}[/tex]
Cross multiply and solve for x.
[tex]24000 = 100x\\24000/100=100x/100\\240 =x\\x=240[/tex]
240 customers paid with cash.
A is what percent of B?
A = 2 qt, B = 2 gal
Answers
Step-by-step explanation:
4qt=1gal
8qt=2gal
percent of b=a
x%times b=a
x%=a/b
x%=2/8
x%=1/4=25%
answer" 25%.