Translate the inequality and solve. Negative three times a number is less than six.
Answers
Answer:
x>-2
Step-by-step explanation:
The translated inequality to be solved is -3x<6
You divide -3 by both sides which switches the sign because it is negative, there fore the answer is x>-2.
Answer:
x<-18
Step-by-step explanation:
Related Questions
Solve for x: 1 over 3 (2x − 8) = 4.
2
6
10
Answers
Answer:
the answer is x= 10
Step-by-step explanation:
0.75 (6+d)=12 step by steP
Answers
Answer:
Step-by-step explanation:
step 1: 0.75 x 6 = 4.5
step 2: 0.75 x d = 0.75d
step 3: 4.5 + 0.75d = 5.25d
It's correct answer
Slove 4(5x-2)= 2(9x+3)
Answers
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
[tex]4(5x-2) = 2(9x+3)[/tex]
[tex]20x-8=18x+6[/tex]
Then, isolate the variable. Start by subtracting 18x from both sides.
[tex]2x - 8 = 6[/tex]
Add 8 to both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x=7[/tex]
On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?
Answers
Answer:
4
Step-by-step explanation:
Answer:
She missed 4 questions
Step-by-step explanation:
4/5=8/10=16/20
Find |x| when x = – 15.
HELP ME PLEASEE
Answers
Answer: 15
Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.
Which statement is modeled by 2p + 5 < 11
Group of answer choices
The sum of 5 and 2 times p is at least 11
5 added to the product of 2 and p is less than 11
2 times p plus 1 is at most 11
the product of 2 and p added to 5 is 11
Answers
The reason for this is because the inequality multiples 2 and the variable p, which is the product. Then, you have to add 5 to the product of 2p. Since the sign is opened towards the 11, this indicates that the sum of 5 and 2 times p is less than 11. Hope that helps!
The lifetime in months of a transistor in a certain application is random with probability density function:
f(x) = {0.4e^-0.4x, x>0 0, x<0
a. Compute the mean lifetime.
b. Compute the standard deviation of the lifetimes.
c. Compute the cumulative distribution function of the lifetime.
d. Compute the probability that the lifetime will be less than 6 months.
e. Compute the 60^th percentile of the lifetime.
Answers
Answer:
Explained below.
Step-by-step explanation:
The probability density function of lifetime in months of a transistor in a certain application is:
[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]
The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.
(a)
Compute the mean lifetime as follows:
[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]
Thus, the mean lifetime is 2.5 months.
(b)
Compute the standard deviation of the lifetimes as follows:
[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]
Thus, the standard deviation of the lifetimes is 2.5 months.
(c)
The cumulative distribution function of the lifetime is:
[tex]CDF=1-e^{-0.40x}[/tex]
(d)
Compute the probability that the lifetime will be less than 6 months as follows:
[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]
[tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]
Thus, the probability that the lifetime will be less than 6 months is 0.9093.
(e)
Compute the 60th percentile of the lifetime as follows:
[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]
Thus, the 60th percentile of the lifetime is 2.3 months.
What is (7.8 x 10) • (1.0 x 10)
Answers
780 is the answer. Hope this helps :)
Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.
What is the measure of B?
Answers
The measure of the angle B is 74 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.
If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.
The angle sum property of a triangle;
80 + 26 + B = 180
B = 180 - 106
B = 74
Therefore, the size and shape of the triangle wouldn't change.
The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length.
Hence, the measure of the angle B is 74 degrees.
Learn more about the triangles;
https://brainly.com/question/2773823
#SPJ2
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?
Answers
Answer:
there are no signs between the x and y and constant
it could be
2x+5y=15
2x+5y=-15
-2x+5y=15
2x-5y=15
for ax+by=c, the equation of a line paralell to that is
ax+by=d where a=a, b=b, and c and d are constants
(for this answer, I'm going to use 2x+5y=15)
given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d
to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15
pls mark me brainlest
Answer:
2x+ 5y= -2
Step-by-step explanation:
help me answer please
Answers
Answer:
x=21
Step-by-step explanation:
supplementary angles add up to 180°
7x-3+2x-6=180
collect like terms
9x-9=180
add 9 to both sides
9x=189
divide both sides by 9
x=21
what are the solutions of the equation below
(x-2)(x+9)=0
Answers
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
I have ti find the two solutions to this equation. This problem deals with imaginary numbers i
[tex] {3x}^{2} - x + 4 = 0[/tex]
Answers
Answer:
[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex] or [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]
Step-by-step explanation:
Use the quadratic formula.
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]
[tex] x = \dfrac{1 \pm \sqrt{1 - 48}}{6} [/tex]
[tex] x = \dfrac{1 \pm \sqrt{-47}}{6} [/tex]
[tex] x = \dfrac{1}{6} \pm \dfrac{i\sqrt{47}}{6} [/tex]
[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex] or [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]
if MrBeast has 2,000 subscribers, and on the next 2 weeks he has now 44,000 subs. what was his subs during those two weeks?
Answers
Answer:
He got 42,000 subs in the 2 weeks.
Step-by-step explanation:
ANSWER:
42,000
SOLUTION:
44,000
- 2,000
42,000
please help fast and expalin.
Answers
Answer: 10,000
Step-by-step explanation:Hope this helps!
6 : 4 is equivalent to
Answers
Answer:
12 : 8, 18 : 12, 24 : 16, 30 : 20
Step-by-step explanation:
These are the four after 6:4. I didn't know which you needed.
Answer:
3:2
Step-by-step explanation:
If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.
6/2=3
4/2=2
The ratio is now simplified/equivalent to 3:2.
I hope this helps...have an amazing day c:
HURRY, PLEASE HELP!!!
Answers
Answer:
Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.
The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.
A rectangle has length 8x 104 mm and width 4 x 104 mm. The rectangle's length is how many times
its width?
The rectangle's length is times its width.
(Type a whole number.)
Answers
Answer:
Step-by-step explanation:
It would be 2.
8/4=2
10^(4-4)=10^0 or 1
2*1=2
which expression is equivalent to -10 (-40) + (-90) ?
A. 10 + 40 + 90
B. -(10-40) + (-90)
C. -10 - (40 - 90)
D. -10 + (-90) + (-40)
PLS HELP
Answers
Answer:B
Step-by-step explanation:-10 times -40 is -400 times -1 is 400.
The sum of 3 consecutive even integers is 48. Find all three inters
Answers
Answer: 15 16 17
Step-by-step explanation: Add them together and you should get 48
3(-4/7) I don’t know how to get the answer
Answers
Answer:
Step-by-step explanation:
if its 3 - 4/7 then it = 2 3/7
if its 3*-4/7 then it = -12/7 = - 1 5/7
Helppppp please !!!!!
Answers
Answer:
The answer is A) 1/8^2
Step-by-step explanation:
Both of the equations simplified equal 1/64.
Juan And his little brother had a pizza divided into eight slices of equal size juan ate 5 slices and his little brother ate the rest what fractional part did each person eat? juan ate 5 of 8 slices or his brother ate of 8 slices pieces or?
Answers
Answer:
Juan ate 5/8 his little brother ate 3/8
Step-by-step explanation:
Answer:
juan = 5/8
brother = 3/8
guys hurry i have a starter
idk what the answer
Answers
Answer:
The letter E
HOPE THIS HELPS YOU Do mark as brainliestStephen collected data from a travel website. The data included a hotel's distance from Times Square in
Manhattan and the cost of a room for one weekend night in August. A table containing these data appears below.
0
1
1
3
4
7.
19
Distance From
Times Square
(city blocks) (x)
Cost of a Room
(dollars) (y)
293 263
244
224
185
170
219
153
136
111
Stephen calculated the linear regression equation to be y = -7.8x + 246.3. Using this equation, find the cost of a
room 5 city blocks away from Time Square.
1) $195
2) $207
3) $238
4) $285
What’s the answer?
Answers
Answer:
$207
Step-by-step explanation:
Given the following :
Data:
X : Distance From Times Square (city blocks)
Y: Cost of a Room (dollars) (y)
The linear regression model generated for the data :
y = -7.8x + 246.3
y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept
Using the model:
The cost of a Room 5 block away :
x = 5
y = -7.8(5) + 246.3
y = - 39 + 246.3
y = $207.3
Write an equivalent expression to the following: 1/2 (-6x + 8) – 7
Answers
Answer:
-3x -3
If this is not the answer you are looking for plz let me know!!!
Answer:
-6x+8=14
Step-by-step explanation:
1/2*(-6x+8)-7 |+7
1/2*(-6x+8)=7 | ÷1/2
-6x+8=14
You mean sth like this?
1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).
Answers
Answer:
y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Tommy is purchasing items from an online store. The store charges $6 shipping and handling for each package. Write an expression to represent the total shipping costs. How much will Tommy pay in shipping and handling for 2 packages? (use x as the variable) When entering your answers use only numbers a lower case x and No spaces The equation that represents this scenario is The shipping and handling for 2 packages would be dollars. (only put the number please)
Answers
Answer:
The expression to represent the total shipping costs for x package is 6x.
Tommy will pay $ 12 in shipping and handling for 2 packages.
Step-by-step explanation:
Given that the shipping and handling charge for 1 package = $ 6
So, by using the elementary method, the shipping and handling charge for x package is $ 6x.
Hence, the required expression to represent the total shipping costs for x package is 6x.
For 2 package, x=2
So, the shipping and handling charge for 2 package
=6x2
=12.
So, Tommy will pay $ 12 in shipping and handling for 2 packages.
The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.
Answers
Answer:
103 at most and 87 at least
Step-by-step explanation:
95-8=87 seeds
95+8=103 seeds
Answer with step-by-step explanation:
Max: 25 + 3 = 28
Min: 25 - 3 = 22
Hope this helped!
Lemonade was on sale last week ;it cost $12 for every 4 packs of lemonade.How much do 2 packs of lemonade cost
Answers
Answer:
$6
Step-by-step explanation:
Each pack is $3
So therefore if you multiply 2($3) it is $6 for two packs