The value of c obtained from the linear inequality (3/5)·c + 7 ≤ 2/5 is the option;
c ≤ -11
What is an inequality?An inequality is a (non equal) comparison between two expressions that have different values.
The specified inequality can be expressed as follows;
[tex]\dfrac{3}{5} \times c + 7 \leq \dfrac{2}{5}[/tex]
Simplifying the above inequality by subtracting 7 from both sides, we get;
[tex]\dfrac{3}{5} \times c + 7 - 7 \leq \dfrac{2}{5} - 7[/tex]
Evaluating and simplifying the right hand side into a fraction, we get;
[tex]\dfrac{3}{5} \times c + 0 \leq \dfrac{2}{5} - 7 = \dfrac{2 - 35}{5} = \dfrac{-33}{5}[/tex]
[tex]\dfrac{3}{5} \times c \leq \dfrac{-33}{5}[/tex]
Multiplying both sides by 5, we get;
[tex]5\times \dfrac{3}{5} \times c \leq 5 \times \dfrac{-33}{5}[/tex]
[tex]\dfrac{5}{5} = 1[/tex], therefore;
3·c ≤ -33
Dividing both sides of the above inequality by 3, we get;
3·c ÷ 3 ≤ -33 ÷ 3
c ≤ -11
The correct option is; c ≤ -11
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will mark brainliest
Answer:
20
Step-by-step explanation:
if you plug in 20, (20) x 3 = 60 + 10 = 70. plus the other angle equaling 20 it'd be 90 degrees which is what the angle is. mark brainliest pls
Help me please!!! 20 points
Answer:
x=4, y =5
Step-by-step explanation:
there's no factorization involved, just elimination and substitution. First subtract equation 1 and 2. The x's cancel out and you get y by itself and can solve for it. Then plug the value of y into equation 2 and solve for x and you get it. (In my picture I put value of y in equation 1 but your question asks for putting it in equation 2 so do that instead)
A spinner has regions numbered 1 through 18. What is the probability that ___________________
the spinner, spun once, will stop on an even number or a multiple of 3?
Answer:
Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given - A spinner has regions numbered 1 through 18.
To find - What is the probability that the spinner, spun once, will stop on an even number or a multiple of 3?
Solution -
Given that,
A spinner has regions numbered 1 through 18.
So,
The sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}
i.e.
n(S) = 18
Now,
Let A be the outcomes that gives even number or a multiple of 3,
Then
A = {2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18}
i.e.
n(A) = 12
∴ we get
Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{n(A)}{n(S)}[/tex]
= [tex]\frac{12}{18}[/tex]
= [tex]\frac{2}{3}[/tex]
i.e.
Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{2}{3}[/tex]
5. Which lines are parallel to
8x + 4y = 5? Select all that
apply.
A. y = -2x + 10
B. 16x + 8y = 7
C. y = -2x
D. y - 1 = 2(x + 2)
-20 POINTS- only answer If you know dont guess again.
Using the Pythagoras theorem, the value of y is [tex]6\sqrt{7}[/tex], and the value that goes in the green box is 6.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Mark the intersections as A, B, C, and D.
It is given that BC=12 and CD=9.
The relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem. It claims that the altitude is equal to the geometric mean of the two segments.
Apply the geometric mean theorem -
(AC)^2 = BC x CD
(AC)^2 = 12 x 9
(AC)^2 = 108
AC = [tex]\sqrt{108}[/tex]
AC = [tex]6\sqrt{3}[/tex]
Triangle ABC is a right-angled triangle, so apply Pythagoras theorem -
(AB)^2=(BC)^2+(AC)^2
(AB)^2=(12)^2+([tex]6\sqrt{3}[/tex])^2
(AB)^2=144+108
(AB)^2=252
AB=[tex]\sqrt{252}[/tex]
AB=[tex]6\sqrt{7}[/tex]
Therefore, the value of y is obtained as [tex]6\sqrt{7}[/tex].
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how many times does 5 go into 103?
Answer and Step-by-step explanation:
We know that 5 can go into 100 twenty times, so lets try 20 and see what happens.
5 times 20 = 100
103
- 100
3
We get a remainder of 3. This means that 5 goes into 103 only Twenty times.
If we were to fully divide 103 by 5, then 5 goes into 103 '20.6' times.
#teamtrees #PAW (Plant And Water)
Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?
Answer:no it would be 4
Step-by-step explanation:
what type of accociation would you expect in this a persons age and number of pets the have
Answer:
if they have less pets they are probably young and aren't responsible to take care and if they have alot of old they are probably old
if you roll a standard six-sided die what is the probability that you get a one or a five give your answer as a simplified fraction
Answer:
2/6 - simplified fraction=1/3
Step-by-step explanation:
An 80% confidence interval is found to be (12, 20). What is the margin of
error?
A. 4.
B. 3.2
C. 6.4
D. 8
An 80% confidence interval is found to be (12, 20). Thus, the margin of error is 8.
How to interpret the confidence interval?Suppose the confidence interval at P% for some parameter's values is given by
[tex]x \pm y[/tex]
That means that parameter's estimated value is P% probable to lie in the interval
[x-y,x+y]
In most of the cases, the confidence interval is constructed around the mean, and the absolute distance from the mean on right or left side of the mean is called the margin of error.
Thus, we get: Confidence interval [tex]limits= \overline{x} \pm MOE[/tex]
The width of the confidence interval
20-12 = 8 units.
That cuts in half to get 8/2 = 4 which is the margin of error.
The center of the confidence interval
(12+20)/2
= 32/2
= 16.
So, 16+4 = 20, which is the right endpoint.
Also, 16-4 = 12, which is the left endpoint.
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Answer:4
Step-by-step explanation:
How do we solve the following:
49=495;593;59305
Answer:
...
Step-by-step explanation:
You should probably change your semicolons first. Maybe you should type this more clearly ^^
1. Yes
2.No
3.There is not enough information to say
Answer:
Yes.
Step-by-step explanation:
The triangles are congruent.
You bought a Nissan Xterra for $25,000. The car depreciates at a rate of
6.5% per year. After how many years will the car be worth $16,703.58?
5
Answer:
Why i dont know
Step-by-step explanation:
Find x and y
Pythagorean theorem
Answer:
x = 2√11
y = 4√47
Step-by-step explanation:
x^2 + 10^2 = 12^2
x^2 + 100 = 144
x^2 = 144 - 100
x^2 = 44
x = 2√11
x^2 + 12^2 = y^2
44 + 144 = y^2
188 = y^2
y = 2√47
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 15
Step-by-step explanation:
Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie. Which represents the order of the children by age, from oldest to youngest? A. Paul, Phillip, Annie, Chris B. Chris, Paul, Annie, Phillip C. Annie, Phillip, Paul, Chris D. Paul, Phillip, Chris, Annie
Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris.
Given that,
There are 4 children's. The names of the children's are Philip, Annie, Paul and Chris.
Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie.
We have to find which represents the order of the children by age, from oldest to youngest.
We know that,
Lets us take the ages if the children's as a,b,c,d of Philip, Annie, Paul and Chris.
Philip is twice as old as Annie.
That means a = 2b
Paul is 4 years older than Phillip and
That mean c =4+a
Chris is 2 years younger than Annie.
That means d=b-2
So,
If we take the age of Philips as 20
Then Annie is 10, Paul is 24 and Chris is 8.
Therefore, Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris .
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Eden has 300 pounds in his savings accounts. his bank offers him a fixed 5 percent simple interest rate per annum, for a period of 3 years?
How much interest will he have earned after 3 years?
Answer:
Interest of £45
Step-by-step explanation:
£300×.05×3=£45
Whose inverses are also functions
Functions whose inverses are also functions.
What is inverse function?Inverse function is represented by [tex]f^{-1}[/tex] with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
If a horizontal line intersects the original function in a single region, the function is a one-to-one function and inverse is also a function.
Every function has an inverse, but not every inverse will be a function. The inverse may fail the vertical line test. If the original function is a one-to-one function, then its inverse will be a function. A one-to-one function not only passes the vertical line test, it also passes a horizontal line test.
Therefore, functions whose inverses are also functions.
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the line Plus shows the differences some students jumped during a field day competition what fraction of the students jumped 5 1/2
Answer:
⅛
Step-by-step explanation:
Each mark (x) on the plot presents the distance that each student jumped.
There are 24 marks there, so it means there is a total of 24 students whose distance jumped were recorded.
Number of students that jumped 5½ ft = 3
Fraction of the students that jumped 5½ ft = no of students that jumped 5½ ft / total number of students
= 3/24
Simplify/reduce the fraction
= 1/8
What must be the value…. Please I need help ASAP.
Answer:
y+35=2y-47
35+47=2y-y
82=y
Equations of Exponential Functions
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000(1.08)t (ii) P = 600(1.12)t
(iii) p = 2500(0.9)t (iv) P = 1200(1.185)t
(v) P = 800(0.78)t (vi) 2000(0.99)t
Which town decreasing the fastest?
a. ii c.iii
b. v d. vi
Please select the best answer from the choices provided
Answer:
B. v
Step-by-step explanation:
I calculated it logically
The expression a÷4 is equal to?for a =2.6
Answer:
[tex]\frac{a}{4} = \frac{13}{20}[/tex]
Step-by-step explanation:
GIVEN :-
a = 2.6TO FIND :-
Value of [tex]\frac{a}{4}[/tex]SOLUTION :-
To find the value of [tex]\frac{a}{4}[/tex] , just put a = 2.6 there in the expression.
[tex]=> \frac{a}{4} = \frac{2.6}{4} = \frac{\frac{26}{10} }{4} = \frac{26}{40}[/tex]
Reducing the fraction gives - [tex]\frac{13}{20}[/tex]
In decimal form , it is - [tex]0.65[/tex]
7 If J / 24 = K, thеn J / 6 =
А. 4K
В. 2K
C. K
D. K/2
E. K/4
A. A
B. B
C. C
D. D
E. Е
Answer:
A. 4K
Step-by-step explanation:
J / 24 = K
J = K x 24
J = 24K
J / 6
= 24K / 6
= 4K
Which statement is an accurate comparison of Mrs. Liu’s 3rd and 5th period classes?
The box plot below shows Mrs. Liu’s 3rd period class averages (top) and 5th period class averages (bottom). Use the box plots to answer the following question.
Mrs. Liu’s 5th period has a greater interquartile range than her 3rd period.
Mrs. Liu’s 3rd period has a greater center than her 5th period.
Mrs. Liu’s 5th period has a smaller range than her 3rd period.
The upper extremes for both classes are the same.
Answer: the first answer is correct i think :]
4/8 + 1/4
A 5/12
B 3/4
C 6/8
D 2/8
Answer:
3/4
Step-by-step explanation:
4/8 can be simplified by dividing 2 from the numerator and denominator, which equals 2/4.
This turns the equation into 2/4 + 1/4, giving you a common denominator.
Answer:
Both B & C answers are correct
Step-by-step explanation:
To solve these two fractions, 1st you have to make both the numerator and the denominator the same.
For that, you can multiply both the numerator and the denominator of 1/4 by 2.
[tex]\sf\frac{4}{8} +\sf\frac{1}{4} \\\\\sf\frac{4}{8} +\sf\frac{1*2}{4*2}\\\\\sf\frac{4}{8} +\sf\frac{2}{8}\\\\\sf\frac{6}{8}[/tex]
To write the fraction in its simplest form, divide both sides by 2.
[tex]\sf\frac{3}{4}[/tex]
Slove for the value of y
Answer:
2y+1+5y-3=180
7y-2+2=180+2
7y=182.
y=26 is the answer
WILL MARK BRAINLIEST
Given: isoceles trapezoid BEAR, Find AQ
Answer:
beleive the anser is 12 try that
Step-by-step explanation:
Cash $14,692
Owe Knapp College 10,981
Owe Ashley’s Boutique 1,682
Owe Buzz Electronics 787
Jewelry 2,575
Lauren Juliana has been saving and would now like to purchase a boat. She does not have enough to pay cash, so she has contacted a lending institution about purchasing on credit. The lending institution has asked her to begin the loan process by completing a net worth statement. Prepare a net worth statement for Lauren Juliana. Select Current Date in the appropriate field to indicate today’s date. In each section, enter items in descending order of amount
Barren's net worth statement exists shown to the right.
What is meant by net worth statement?Your total worth, including both financial and non-financial assets, equals your net worth less any outstanding obligations.
Using a net worth statement, you can view your financial situation at any given time. It is comparable to a "financial snapshot," showing the dollar amounts of your assets and liabilities (liabilities or debts).
Assets - Liabilities = Net Worth is the equation for calculating net worth.
The total of Lauren Juliana's debts will be subtracted from the total of her assets to determine her net worth (cash and jewelry).
= ($ 14,692 + $ 2,575) - ($ 10,981 + $ 1,682 + $ 787)
simplifying the equation, we get
= $ 3,817
barren's net worth statement is shown to the right.
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The required total net worth of Lauren Juliana is $ 3,817.
What is implied by total assets articulation?Your all out worth, including both monetary and non-monetary resources, rises to your total assets less any remaining commitments.
Utilizing a total assets proclamation, you can see what is going on at some random time. It is equivalent to a "monetary preview," showing the dollar measures of your resources and liabilities (liabilities or obligations).
Resources - Liabilities = Total assets is the condition for working out total assets.
The complete of Lauren Juliana's obligations will be deducted from the absolute of her resources for decide her total assets (money and adornments).
= ($ 14,692 + $ 2,575) - ($ 10,981 + $ 1,682 + $ 787)
working on the situation, we get
= $ 3,817
desolate's total assets articulation is displayed to one side.
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Ross walked 7 miles in 2 hours. What is his unit rate of miles per hour?
Answer:
3.5 miles per hours
Step-by-step explanation:
7/2 =3.5
Help me with this please lol.
Answer:
Flower Bed A is the 3rd on down
C=10pi, A = 25pi
Flower Bed B is the 5th one down
C=12pi, A=36pi
9514 1404 393
Answer:
A) 10π ft; 25π ft²
B) 12π ft; 36π ft²
Step-by-step explanation:
The circumference is given by ...
C = πd = 2πr . . . . . . . . . . for radius r or diameter d
The area is given by ...
A = πr² = (π/4)d²
__
A) For a diameter of 10 ft, the circumference is π(10 ft) = 10π ft.
The area is (π/4)(10 ft)² = 25π ft².
__
B) For a radius of 6 ft, the circumference is 2π(6 ft) = 12π ft.
The area is π(6 ft)² = 36π ft².