Answers
Answer/Step-by-step explanation:
16. 4(x + 3) - 5 < 5x + 7
4x + 12 - 5 < 5x + 7
4x + 7 < 5x + 7
Collect like terms
4x - 5x < 7 - 7
-x < 0
Divide both sides by -1
x > 0
17. 24 > -3x
Divide both sides by -3
24/-3 < -3x/-3
-8 < x
x > -8
18. -5(2x - 6) + 3x < 2(2x + 1) - 11x
-10x + 30 + 3x < 4x + 2 - 11x
Add like terms
-7x + 30 < -7x + 2
-7x + 7x < -30 + 2
0 < -28
Related Questions
Lindsay invest $250 in a bank account that pays 3% interest each year how much money will be in her account after one year?
Answers
how many times the size of 0.81 is 810
Answers
Answer:
810 is 100 times the size of 0.81
Yuri thinks that 3/4 is a root of the following function.
q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.
Answers
Given:
The polynomial function is
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
Yuri thinks that [tex]\dfrac{3}{4}[/tex] is a root of the given function.
To find:
Why [tex]\dfrac{3}{4}[/tex] cannot be a root?
Solution:
We have,
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
If [tex]\dfrac{3}{4}[/tex] is a root, then the value of the function at [tex]\dfrac{3}{4}[/tex] is 0.
Putting [tex]x=\dfrac{3}{4}[/tex] in the given function, we get
[tex]q(\dfrac{3}{4})=6(\dfrac{3}{4})^3+19(\dfrac{3}{4})^2-15(\dfrac{3}{4})-28[/tex]
[tex]q(\dfrac{3}{4})=6(\dfrac{27}{64})+19(\dfrac{9}{16})-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=3(\dfrac{27}{32})+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{81}{32}+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
Taking LCM, we get
[tex]q(\dfrac{3}{4})=\dfrac{81+342-360-896}{32}[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{-833}{32}\neq 0[/tex]
Since the value of the function at [tex]\dfrac{3}{4}[/tex] is not equal to 0, therefore, [tex]\dfrac{3}{4}[/tex] is not a root of the given function.
which expression is equivalent to 2(3 - x) - 12 + 4x
3x - 6
3x - 7
2x - 7
2x - 6
Answers
A screening test wished to improve the diagnostic ability to identify Zika-infected fetuses in pregnancy rather than after birth. A total of 330 pregnant women (carrying one baby each) in Miami were tested. A total of 36 babies had Zika; 24 of whom tested positive. A total of 300 babies tested negative for the virus. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test?
a. 94.5%
b. 33.3%
c. 66.7%
d. 96.0%
e. 98.0%
f. 80.0%
Answers
Answer:
Sensitivity = 66.7% (C)
specificity= 98.0% (E)
positive predictive value = 80.0% (F)
Negative predictive value = 96.0% (D)
accuracy of the test = 94.5% (A)
Step-by-step explanation:
Given the data in the question;
Disease Present Disease Absent Total
Test Positive 24 6 30
Test Negative 12 288 300
Total 36 294 330
so A = 24, B = 6, C = 12 and D = 288
sensitivity = [A/(A+C)]×100 = [24/(24+12)]×100 = [24/36]×100
Sensitivity = 66.7% (C)
specificity= [D/(D+B)]×100 = [288/(288+6)]×100 = [288/294]×100
specificity= 98.0% (E)
positive predictive value = [A/(A+B)]×100 = [24/(24+6)]×100
= [24/30]×100
positive predictive value = 80.0% (F)
Negative predictive value = [D/(D+C)]×100 = [288/(288+12)]×100
= [288/300]×100
Negative predictive value = 96.0% (D)
accuracy of the test = [A+D/(A+B+C+D)]×100 = [24+288/(24+6+12+288)]×100
= [312/330]×100
accuracy of the test = 94.5% (A)
Nothing 33.3% (B)
Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of the can in milimeters must be at least 0.1, point, 1 times the height of the can in centimeters in order to withstand pressure. Due to cost constraints, the cost of material used, (0.2 + t+ 0.5h)cents, must be at most 12.2, point, 2 cents. Which system of inequalities best models the relationship between height and thickness?
Answers
Answer:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Step-by-step explanation:
Given
[tex]t= thickness[/tex]
[tex]h =height[/tex]
From the first statement, we have that:
[tex]t\ mm \ge 0.1 * h\ cm[/tex]
Convert mm to cm
[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]
[tex]t\ *0.1 \ge 0.1 * h[/tex]
Divide both sides by 0.1
[tex]t \ge h[/tex]
From the second statement, we have that:
[tex]Cost \le 12.2[/tex]
Substitute 0.2 + t + 0.5h for Cost
[tex]0.2 + t + 0.5h \le 12.2[/tex]
Collect Like Terms:
[tex]t + 0.5h \le 12.2-0.2[/tex]
[tex]t + 0.5h \le 12.0[/tex]
So, the inequalities are:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Answer: it's a, the answer
Step-by-step explanation:
Becky made 63 carnival masks, which is 30% less than the number
her brother made. How many carnival masks did Becky and her
brother make in total?
Answers
Answer:
273
Step-by-step explanation:
63 ÷ 30% = 210
210 + 63 = 273
therefore your total is 273
hope this is right, and that it helps :)
Answer:
Becky and her brother made 90+63=153 masks in total
Step-by-step explanation:
Percentages
Let's call x=number of masks Becky's brother made.
We know Becky made 30% less than the number of masks her brother made.
30% of x is calculated by:
30*x/100 = 0.3x
Now subtracting from x:
x - 0.3x = 0.7x
Becky made 63 carnival masks, this means that:
0.7x = 63
Dividing by 0.7:
x = 63/0.7 = 90
Becky's brother made 90 masks.
Becky and her brother made 90+63=153 masks in total
random khan question and I haven't done this in a year, I'm struggling.
Answers
Answer:
Add maybe
Step-by-step explanation:
add the 500+400+200 try that hope it helps have a great day
Solve the system of equations by substitution. 3/8x + 1/3y = 17/24
Answers
Answer:
this question is not complete. need another equation
Step-by-step explanation:
give another equation then I can solve
[tex] \frac{3}{8} x = \frac{17}{24} - \frac{1}{3} y \\ x = \frac{17}{9} - \frac{8}{9} y[/tex]
Solve the inequality for x.
X-3/4>=-1/8
Simplify your answer as much as possible
Answers
[tex]x - \frac{3}{4} \geqslant - \frac{1}{8} [/tex]
Solve the Inequality for x-term.[tex]x \geqslant - \frac{1}{8} + \frac{3}{4} [/tex]
Make both fractions to have same denominators by multiply 2 in 3/4 for both numerator and denominator.
[tex]x \geqslant - \frac{1}{8} + \frac{3 \times 2}{4 \times 2} \\ x \geqslant - \frac{ 1}{8} + \frac{6}{8} \\ x \geqslant \frac{5}{8} [/tex]
Hence, the solution is, "x is greater or equal to 5/8."
Answer[tex] \large \boxed{x \geqslant \frac{5}{8} }[/tex]
Find the measure of CD.
Round to the nearest tenth.
mCD=[?]degrees
Answers
Answer:
m(arc CD) = 14.1 cm
Step-by-step explanation:
Measure of an arc of the circle = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here 'r' = radius of the circle
θ = Angle subtended by the arc at the center of the circle
From triangle OED,
sin(∠EOD) = [tex]\frac{ED}{OD}[/tex]
sin(∠EOD) = [tex]\frac{\frac{12.7}{2}}{9.06}[/tex]
= [tex]\frac{6.35}{9.06}[/tex]
= 0.7
m∠EOD = 44.498
≈ 44.5°
Angle subtended by the arc CD at the center = m∠COD
= 2(44.5)
= 89°
m(arc CD) = [tex]\frac{89}{360}(2\pi)(9.06)[/tex]
= 14.07
≈ 14.1 cm
Using the diagram below, what is the length of PR (Please answer within 10 min it's on a time limit.)
Answers
Answer:
oof
Step-by-step explanation:
Question- What method would you happen to be using to solve this problem?
Find the equation of the exponential function represented by the table below:
Answers
Answer:
[tex]y =5(3)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation of the table
The table represents an exponential function. So, we make use of
[tex]y = ab^x[/tex]
When x = 0, y= 5.
So:
[tex]y = ab^x[/tex] becomes
[tex]5 = ab^0[/tex]
[tex]5 = a*1[/tex]
[tex]5 = a[/tex]
[tex]a = 5[/tex]
When x = 1; y = 15
So;
[tex]y = ab^x[/tex] becomes
[tex]15 = a * b^1[/tex]
[tex]15 = a * b[/tex]
Substitute 5 for a
[tex]15 = 5 * b[/tex]
Divide both sides by 5
[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Substitute values for a and b in: [tex]y = ab^x[/tex]
[tex]y =5(3)^x[/tex]
50 points
Yolanda received her telephone bill on July 27th and paid it three weeks later. What was the date that Yolanda paid her electric bill? A. July 6 B. July 17 C. August 17 D. August 18
Answers
Answer:
Aug 16th
Step-by-step explanation:
Find all values of k, if any, that satisfy the equation (in attachment). Enter the exact answer(s).
Answers
Compute the rightmost product:
[tex]\begin{bmatrix}1&2&0\\2&0&4\\0&4&-1\end{bmatrix}\begin{bmatrix}2\\2\\k\end{bmatrix}=\begin{bmatrix}1\times2+2\times2+0\times k\\2\times2+0\times2+4\times k\\0\times 2+4\times2+(-1)\times k\end{bmatrix}=\begin{bmatrix}6\\4k+4\\8-k\end{bmatrix}[/tex]
Then
[tex]\begin{bmatrix}2&2&k\end{bmatrix}\begin{bmatrix}6\\4k+4\\8-k\end{bmatrix}=2\times6+2\times(4k+4)+k\times(8-k)=-k^2+16k+20[/tex]
Use whatever methods you like to solve the remaining quadratic equation:
-k ² + 16k + 20 = 0 → k = 8 ± 2√21
what are the next 3 terms in this:O,T,T,F,F
Answers
Answer:
Step-by-step explanation:
S, S, E.
Come on, do I have to spell it out for you? :)
can someone help this is kinda confusing i’ll mark you as brainlilest.
Answers
Answer:
The answer is A, good luck on the test! :D
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. In geometry, a cylinder is a three-dimensional shape with a circular base, ... So using the volume of cylinder formula we can find the volume of i
Someone please help me!!:(
Answers
determine the area of mrs wests backyard that is coverd grass and show ur work!!
Answers
Answer:
150 ft^2
Step-by-step explanation:
The formula is (30*10)/2 which is equal to 150.
Identify if the equation is growth
or decay and the rate.
Answers
Answer:B
Step-by-step explanation:m is the slope and m=-3
In a survey, 31 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $33 and a standard deviation of $16. Construct a confidence interval at a 98% confidence level.
Give your answers to one decimal place
Answers
Answer:
The margin of error is 5. 00
If mZ1 is 68º and m23 is (3x - 7)º, what is x?
Answers
Answer:
im sooooo confused
Step-by-step explanation:
Solve the proportion: 9 is to 16 as M is to 32.
(please show working out!)
Answers
Answer:
Step-by-step explanation:
9 : 16 :: M : 32
Means of extremes = means of means
= 9 x 32 = 16 x M
= 288 = 16M
288/16 = M
18 = M
Give a list with six different numbers with median 24 where the mean is smaller than the median. State the
mean of your list of numbers.
Answers
Hope this helps.
solve each equation for given variable
- 12 = 6i- 6
Answers
Explanation:
First get the variable by itself. To do that, add six to both sides of the equation. You will have -6 = 6i. Than divide both sides by 6. It will give you i = -1.
-12 + 6 = 6i - 6 + 6
-12 + 6 = 6i
(-12 + 6)/6 = (6i)/6
(-12 + 6)/6 = i
i = (-12 + 6)/6
What is the equation of the line that passes through the point (-3,2) and has a slope of -2/3
Answers
Answer: Y=2/3x+4
................................................
What is the measure of m∠A
Answers
Step-by-step explanation:
x+2x+6x=180
9x=180
x=20°
m<A = 20°
Pippin went to a game room that charged $4 admission, plus $0.25 per token. The equation which represents his total cost is y = 0.25x + 4.What are the ordered pairs for the equation when you use these x-values: 5, 10, 20?(5, 5), (10, 8), (20, 15)(5, 8), (10, 10), (20, 15)(5, 5.25), (10, 6.50), (20, 9)(5, 5.50), (10, 8.50), (20, 13)
Answers
Answer:
(5, 5.25) , (10, 6.50) , (20, 9)
Step-by-step explanation:
As given ,
y = 0.25x + 4
Now,
if x = 5
⇒ y = 0.25(5) + 4
= 1.25 + 4
= 5.25
⇒ y = 5.25
∴ the ordered pair be (x, y) = (5, 5.25)
if x = 10
⇒ y = 0.25(10) + 4
= 2.5 + 4
= 6.50
⇒ y = 6.50
∴ the ordered pair be (x, y) = (10, 6.50)
if x = 20
⇒ y = 0.25(20) + 4
= 5 + 4
= 9
⇒ y = 9
∴ the ordered pair be (x, y) = (20, 9)
solve and recieve brain list I took a better picture
Answers
y -3 = x
Pls explain thank u so much!!
Answers
Answer:
Y = x+3
Step-by-step explanation:
You want to start by figuring out how to get Y alone.
So to get it alone so you add +3 on both sides
Y - 3 = x
+3. +3
Positive 3 and Negative 3 cancel out making it zero.
Visual: 3 - 3 = 0
Since you cant take or add anything from x you leave it as + 3 so the answer should be.
Y = x + 3
I hope I could help :)