Answer:
12) B --> x < 8/3
13) B --> x ≤ 1/6
Step-by-step explanation:
12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:
x - 10 < 6 - 5x
Add 5x to both sides to combine the x terms:
x - 10 < 6 - 5x
+5x +5x
6x - 10 < 6
Add 10 to both sides to isolate the x term:
6x - 10 < 6
+10 +10
6x < 16
Now, divide by 6 on both sides:
x < 8/3, this is B
13) Simplify 2 - 4:
2-3(2x + 1) ≤ 6x(-2)
Distribute:
2 - 6x - 3 ≤ -12x
Add 12x to both sides and combine like terms:
6x - 1 ≤ 0
Add 1 to both sides:
6x ≤ 1
Divide by 6:
x ≤ 1/6, this is B
Assuming you are creating a book with 991 pages with a size of 8.5in x 11in, how many words will the story be?
A student was conducting a study to determine how many pages he would need for the book he is writing. So,
he found that the following number of words fit on each type of the following papers using an 11 point font:
Danas
This question is solved using proportions, as the table gives us the number of words per page given the dimensions, and the number of pages, which lets us calculate the number of words.
Doing this, we get that the story will be composed of 792,800 words.
-------------------------------------------
According to the table, pages of dimensions 8.5in x 11in have 800 words.The book has 991 pages, of 8.5in x 11in dimensions.Thus, considering that there will be 991 pages, each with 800 words, the total number of words in the story will be of:
[tex]991 \times 800 = 792,800[/tex]
The story will be composed of 792,800 words.
A similar question is given at https://brainly.com/question/19905617
i need help asap, tysm! :)
Cost of 14 songs = $9.38
So, cost of 1 song
= $9.38/14
= $0.67
So, each sing costs $0.67.
Solving Equations by Dividing 2) 9x= -135 Solve for x. 0 -144 O 126 O 15 0 -15
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{9x = -135}}[/tex]
[tex]\huge\boxed{\text{DIVIDE 9 to BOTH SIDES}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{9x}{9}= \dfrac{-135}{9}}}[/tex]
[tex]\huge\boxed{\mathsf{\bullet \ CANCEL: \dfrac{9}{9}\ because\ it \ gives\ you\ 1}}[/tex]
[tex]\huge\boxed{\bullet\ \mathsf{KEEP: \dfrac{-135}{9}\ because\ it\ helps\ solve \ for}}\\\huge\boxed{\mathsf{the\ x-value}}[/tex]
[tex]\huge\boxed{\mathsf{x = \dfrac{-135}{9}}}\\\\\huge\boxed{\mathsf{\dfrac{-135}{9}= x}}}[/tex]
[tex]\huge\boxed{Simplify \ it\uparrow}[/tex]
[tex]\huge\boxed{\mathsf{x = \bf -15}}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: Option D. -15 }}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
3. A rectangular sheet of paper is 121/2 cm long and 102/3 cm wide. Find its perimeter .
Answer:189 cm
Step-by-step explanation:
the area of a perimeter is 2L+2w while l is length and w is width
in this case, 121/2 is the length and 102/3 is the width.
using the formula it should be
121/2 x 2 +102/3 x
= 121 + 68
=189 cm
i hope this helps.
One angle of a triangle is equal to the sum of the remaining angles. If the ratio of measures of the ren
is 2:1, find the measures of the three angles of the triangle.
9514 1404 393
Answer:
90°, 60°, 30°
Step-by-step explanation:
The remaining angles have a ratio of 2:1, so total 3 "ratio units". The first angle is equal to that sum: 3 ratio units, so all of the angles together total 3+2+1 = 6 ratio units. The total of angles is 180°, so each ratio unit is 180°/6 = 30°.
The first angle is 3 ratio units, or 90°.
The second angle is 2 ratio units, or 60°.
The third angle is half that, or 30°.
The three angles are 90°, 60°, 30°.
Yoda Soda is the intergalactic party drink that will have all your friends saying, "Mmmmmm, good this is!"
You are throwing a party, and you need 555 liters of Yoda Soda for every 12 guests.
If you have 363636 guests, how many liters of Yoda Soda do you need?
Answer:
16818165
Step-by-step explanation:
12 guests equal 555 liters
total guests 363636
divide 363636 by 12
result is 30303
multiply 30303 times 555
total is 16818165
A local zoo had 750 visitors on Saturday. If 20% of the guests traveled from out of town, how
many local guests visited the zoo on Saturday?
The square root of 3/100 is between what two numbers
9514 1404 393
Answer:
0.17 and 0.18
Step-by-step explanation:
Usually, a question like this asks for two integer values that bound the root. Here, those would be 0 and 1.
√(3/100) = (√3)/10 ≈ 0.17320508...
You can truncate this at any point to find a number lower than √.03, then add 1 to that value's least-significant digit to find a number higher than √.03.
For example, if we use 4 digits, the two numbers bounding the root could be ...
0.1732 and 0.1733
Need it done ASAP please help
Answer:
[tex]M_{st} = (\frac{-2+4}{2}, \frac{-4+6}{2})[/tex]
[tex]M_{st}=(\frac{2}{2}, \frac{2}{2} )[/tex]
[tex]M_{st}=(1, 1)[/tex]
[tex]M_{cd}=(\frac{-6+4}{2} , \frac{10-8}{2} )[/tex]
[tex]M_{cd}=(\frac{-2}{2} , \frac{2}{2} )[/tex]
[tex]M_{cd}=(-1, 1)[/tex]
Solve for x: −7 < x − 1 < 8
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
Answer:
-6 < x < 9
Step-by-step explanation:
-7+1 < x-1+1 < 8+1
therefore:
-6 < x < 9
Find the inverse of f(x)
15-20/3
Answer:
C. (-3x+15)/2
Step-by-step explanation:
y = (15-2x)/3
To find the inverse, exchange x and y
x = (15-2y)/3
Solve for y
Multiply each side by 3
3x = (15-2y)/3 *3
3x= 15-2y
Subtract 15 from each side
3x-15 = 15-2y-15
3x-15 = -2y
Divide by -2
(3x-15)/-2 = -2y/-2
(-3x+15)/2 = y
6. Find the missing side. Round to the nearest tenth
Answer:
x = 7.6
Step-by-step explanation:
We know the opposite side and the adj side and this is a right triangle
tan theta = opp / adj
tan 66 = 17/x
x tan 66 = 17
x = 17 /tan 66
x=7.56888
To the nearest tenth
x = 7.6
tanØ=Perpendicular/Base
tan66=17/xx=17/tan66x=7.57x=7.6[tex](4 - 3i)x^{2}[/tex]
Answer:
(4−3i)x^2
=4x^2 - 3ix^2
I need help answering this ASAP
Answer:
A the input x=3 goes to two different output values
Step-by-step explanation:
This is not a function
x = 3 goes to two different y values
x = 3 goes to t = 10 and y = 5
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $560.00 and her monthly expenses are $347.49, what percent of her net pay is left for savings? (2 points)
19%
23%
38%
Answer:
38%
Step-by-step explanation:
First determine her savings
560-347.49
212.51
Then divide by the total amount
212.51/560
.379482143
Change to percent form
37.948%
Answer:
38%
Step-by-step explanation:
[tex]560.00-347.49=212.51\\212.51\div560.00==38[/tex]
There are 11 green marbles and 12 orange marbles in a bag. You randomly
choose one of the marbles. What is the probability of choosing a green marble?
[tex]\\ \Large\sf\longmapsto 11+12[/tex]
[tex]\\ \Large\sf\longmapsto 23[/tex]
[tex]\boxed{\Large{\sf P(G)=\dfrac{No\:of\:green\:marbles}{Total\:marbles}}}[/tex]
[tex]\\ \Large\sf\longmapsto P(G)=\dfrac{11}{23}[/tex]
Answer:
11/23
Step-by-step explanation:
11 green marbles and 12 orange marbles = 23 marbles
P(green) = green marbles / total marbles
= 11/23
What is the equation of the line that passes through (4,3) and (2, -1)?
y = 4x -13
y = 6x+4
y = 2x-5
y = 1/2 x -2
Answer:
y=2x-5
Step-by-step explanation:
By using two-points form:
y-y1/y2-y1=x-x1/x2-x1
p(x1,y1)=(4,3)
p(x2,y2)=(2,-1)
Subtitute points in formula:
y-3/-1-3=x-4/2-4
y-3/-4=x-4/-2
y-3/-2=x-4/-1
1(y-3)=2(x-4)
y-3=2x-8
y=2x-8+3
y=2x-5
Note:if you need to ask any question please let me know.
Complete the equation describing how x
and y are related.
Х у
y = [? ]x +
07
1 9
2 11
3 13
4 15
5 17
Enter the answer that
belongs in [?]
Answer:
Hello,
Answer 2
Step-by-step explanation:
7=2*0+7
9=2*1+7
11=2*2+7
13=2*3+7
15=2*4+7
17=2*5+7
y=2*x+7
An other way:
[tex]points\ ( 0,7)\ and\ (1,9)\\\\\Delta\ y=9-7=2\\\Delta\ x=1-0=1\\\\\\y-7=(x-0)*2\\\\y=2x+7\\[/tex]
The complete equation is [tex]y = 2x+7[/tex].
What is equation?An equation is a condition on a variable such that two expressions in the variable should have equal value.
What is substitution?Substitution means replacing the variables (letters) in an algebraic expression with their numerical values.
According to the question.
We have a table which shows the relation between x and y.
Let the missing term be a and b.
The the given equation becomes
[tex]y = ax + b[/tex]
For finding the value of a and b.
Substitute x = 0 and y = 7 in equation y = ax + b.
[tex]\implies 7 = a(0) + b\\\implies b = 7[/tex]
Again, substitute x = 1 and y = 9 in the equation y = ax+ b
[tex]\implies 9 = a(1) +b\\\implies 9 = a + 7\\\implies a = 2[/tex]
substitute the value of a and b in the equation y = ax + b.
[tex]\implies y = 2x+ 7[/tex]
Therefore, the complete equation is [tex]y = 2x+7[/tex].
Find out more information about equation and substitution here:
https://brainly.com/question/2581775
#SPJ2
Which describes the correlation shown in the scatterplot?
On a graph, points are grouped closely together and increase.
There is a positive correlation in the data set.
There is a negative correlation in the data set.
There is no correlation in the data set.
More points are needed to determine the correlation.
Answer:
More points are needed to determine the correlation.
Answer:
its d
Step-by-step explanation:
;)
90 units needed 8per case
Which line is parallel to y = -2x + 8
Answer:
y=-2x-7
Step-by-step explanation:
after putting the choices with the question in a graph I found that that ones stays in a line with the question
Brainliest please!!
HELP ASAPPP… What is the y intercept of the graph that is shown below? (-3,4) (0,2) (2,0) (3,0)
Answer:
(0,2)
Step-by-step explanation:
The y intercept is the value on the y axis where it crosses. The x value is zero
It crosses at y =2 and x=0
(0,2)
A researcher utilizes a t-test to compare the average amount of beta-lactamase produced by two different types of bacteria. The Levene's test for equality of variances has a p value of 0.01. You know this means:
Answer:
The answer is "T-test results must not be presented if the same variations are expected".
Step-by-step explanation:
A t-test is used by a scientist to compare the average beta-lactamase of two distinct strains of bacteria. The Levene equality test does have a p-value of 0.01. Researchers know that all this means that research should report t-test findings with a failed assumption of identical variances because the Log-rank equality test has a p-value of 0.01 of less than 0.05 that shows different twp population variance.
596 is divisible by 2?
a.yes
b.no
Answer:
It's yes
Step-by-step explanation:
Answer:
yep
Step-by-step explanation:
number is even, so it can be evenly divided by 2. :)
Which figure is the pre-image? Which figure is the image after the first transformation? Which figure is the image after the second transformation?
Answer:
I believe the red one is the first image then the blue then the green because they show the prime sign
Step-by-step explanation:
Plz help me i need this question solution
Answer:
your mom
Step-by-step explanation:
After running 3/4 of a mile tess has only run 1/3 how long is the race in miles but I want to know how you did it
what's the formula for sum of
geometric progression
Answer:
Hello,
Step-by-step explanation:
[tex]u_1\ is\ the \ first\ term\ of\ the\ gp\\q\ is \ the\ common\ ratio\\\\\\\boxed{u_n=u_1*\dfrac{q^n-1}{q-1} }[/tex]
Explain the sum of geometric progression
A shipping container in the shape of a rectangular prism is 60 feet long, 45 feet wide, and 14 feet tall. What is the volume of the shipping container? *