For which values of a the system has at least one solution: 1.x≤7 ,x≥a
Given:
The system of inequalities
[tex]x\leq 7[/tex]
[tex]x\geq a[/tex]
To find:
The values of a for which the system has at least one solution.
Solution:
We have,
[tex]x\leq 7[/tex] ...(i)
It means all real values of x which are less than or equal to 0.
[tex]x\geq a[/tex] ...(ii)
It means all real values of x which are greater than or equal to a.
Using (i) and (ii), we get
[tex]a\leq x\leq 7[/tex]
The value of x is lies in the interval [a,7].
It means, if the value of a is less than or equal to 7, then system has at least one solution.
But if a is more than 7, then the system of inequalities have to solution.
Therefore, the value of a must be less than or equal to 7.
I need to know this I don’t understand and it is last one
Answer:
The answer is 4x
Step-by-step explanation:
Hope this helped
jim's bookshelf has 24 inches remain in. each of his notebooks is 3/4 inches wide. how many notebooks will fit in the remaining space
Answer:
32 notebooks will fit.
Step-by-step explanation:
4 boxes of candy costs $ 10. How much
would 14 boxes of candy cost?
Answer:
14 boxes of candy would cost $35
Step-by-step explanation:
First find the unit price. It is $2.50 per box. Next multiply it by 14. It is $35 for 14 boxes of candy.
I hope this helped and have a great day.
(Please vote this the brainliest)
Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters. How far below sea level is Badwater?
Answer: 282 Feet.
Step-by-step explanation:
given data:
sea level of Death Valley California = 190 feet
Sea level of Badwater America lowest point = 92 Feet lower than Dead valley.
Solution:
if Badwater is 92 feet lower than Death Valley,
Therefore; Badwater is 282 feet above sea level.
8. Kathy is painting the outside of her
house. Its area is 2,250 square feet. Each
gallon of paint covers 250 square feet
and costs $19.90. How much money is
she going to spend on paint to cover the
outside of her house?
Answer:
$179.1
Step-by-step explanation:
Total area to be painted = 2,250 sq.ft
area covered by per gallon of paint = 250 sq.ft
Hence, gallons of paint required to paint 2,250 sq.ft is...
2250/250 = 9
so, 9 gallons of paint are required to paint 2,250 sq.ft
cost per gallon of paint = $19.90
so, cost of 9 gallons is...
19.90*9 = 179.1
The total money that Kathy will spend for painting the outside of her house is $179.1.
What is Unitary Method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given is the Kathy who is painting the outside of her house. Its area is 2,250 square feet. Each gallon of paint covers 250 square feet and costs $19.90.
Area of the outer house = [A] = 2250 ft²
Area covered by 1 gallon of paint = [a] = 250 ft²
Therefore, the total gallons of paint needed = (2250/250) = 9 gallons.
Cost of 9 gallons of paint will be = 19.90 x 9 = 179.1
Therefore, the total money that Kathy will spend for painting the outside of her house is $179.1.
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Point N is on line segment M O ‾ MO . Given M O = 12 MO=12 and M N = 5 , MN=5, determine the length N O ‾ . NO .
Answer: NO = 7
Step-by-step explanation:
If the total length of MO is 12, and one segment, MN, is 5, the other segment, NO, must have a length so that they add up to 12.
MN + NO = MO
5 + 7 = 12
M_____ N+ N_______O= M____________O
What fraction is equivalent to 2 31/32
Answer:
95/32
Step-by-step explanation:
You can multiply 32 by two, 64, then add 31, 95
Answer:
95/32
Step-by-step explanation:
yea i checked and it is 95/32
George Foster had a batting
average of .323 one season. Pete
Roses' average was .306 that same
season. How much better was
George Foster's average?
Answer:
.17 better average
Step-by-step explanation:
.323 - .306 = .17
During a science experiment, Daniel noted the starting
temperature of a -4°F. At the end of the experiment, the
change in temperature was -5°F. What was the final
temperature?
A.-1 B.1 C.9 D.-9
Answer: D. - 9
Step-by-step explanation:
Give the following :
Starting temperature = - 4°F
At the end of the experiment, the change in temperature was -5°F
What was the final temperature?
Taking the difference of the starting temperature and the final temperature should give the change in temperature over the course of the experiment.
Δtemperature = (final temperature - initial temperature)
Δtemperature = - 5°F
Initial /starting temperature = - 4°F
Hence,
-5 = final temperature - (-4)
-5 = final temperature + 4
Final temperature = - 5 - 4
Final temperature = - 9
1/5 X B = 40 what is b
Answer:B = 200
Step-by-step explanation:multiply both sides by 5
5*1/5 = 5*40
B = 200
Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying, she has an 80% chance of getting an A in Marketing. She also feels that she has a 60% chance of getting an A in Spanish with the appropriate amount of studying. Given the demands on her time, she feels that she has only a 45% chance of getting an A in both classes. What is the probability that Helen does not get an A in either class?
Answer: 0.05
Step-by-step explanation:
Let M = Event of getting an A in Marketing class.
S = Event of getting an A in Spanish class,
i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45
Required probability = P(neither M nor S)
= P(M'∩S')
= P(M∪S)' [∵P(A'∩B')=P(A∪B)']
=1- P(M∪S) [∵P(A')=1-P(A)]
= 1- (P(M)+P(S)- P(M∩S)) [∵P(A∪B)=P(A)+P(B)-P(A∩B)]
= 1- (0.80+0.60-0.45)
= 1- 0.95
= 0.05
hence, the probability that Helen does not get an A in either class= 0.05
A forensic accountant usually takes additional coursework in which field?
Answer:
law enforcement
Step-by-step explanation:
can yall please start answering more questions about the subject
The formula for the volume of a cone is V = 1/3 bh
Solve v = 1/3 bh for b, the base of the cone.
A. b= 3h/v
B. b= v/3h
C. b= h/3v
D. b= 3v/h
Answer:
D. B=3v/h
Step-by-step explanation:
V = bh
multiply both sides by 3 to eliminate the fraction
3V = bh ( divide both sides by h )
B= 3v/h
The expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.
What is a cone?It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]
It is given that:
The formula for the volume of a cone is:
V = (1/3)bh
To solve for b:
The expression can be defined as the combination of constants and variables with mathematical operators.
Make the subject as b:
V = (1/3)bh
On cross multiplication:
3V = bh
Divide by h on both the sides:
3V/h = bh/h
b = 3V/h
Thus, the expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.
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How do you draw the probabilities for this tree diagram?
Step-by-step explanation:
The prize is equally likely to have been placed behind doors 1, 2, and 3, so the probabilities of D₁, D₂, and D₃ are equal.
P(D₁) = P(D₂) = P(D₃) = 1/3
The contestant initially chooses door 1, so the host will not open it.
P(H₁|D₁) = P(H₁|D₂) = P(H₁|D₃) = 0
The host will not open the door with the prize.
P(H₂|D₂) = P(H₃|D₃) = 0
The remaining probabilities for each door are equal.
P(H₂|D₁) = P(H₃|D₁) = 1/2
P(H₃|D₂) = 1
P(H₂|D₃) = 1
Someone please help!!
What does this say? Please Help me!
Answer:
That is a child mom with triplets.
Step-by-step explanation:
tentukan nilai daerah yang diarsir dalam pecahan?
Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFractionof her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been StartFraction 1 Over 10 EndFraction of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week? StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10h + 60) = StartFraction 1 Over 10 EndFraction(10h) StartFraction 1 Over 15 EndFraction(10h + 60h) = StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 h right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10h) StartFraction 1 Over 15 EndFractionh(10 + 60) = StartFraction 1 Over 15 EndFraction h left-parenthesis 10 plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction h left-parenthesis 10 right-parenthesish(10) StartFraction 1 Over 15 EndFraction left-parenthesis 10 plus 60 h right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10 + 60h) = StartFraction 1 Over 10 EndFraction(10h)
Answer:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
Step-by-step explanation:
The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
_____
Comment on the form of the answer
If you don't like answers in this form, please do not post questions in this form. Ordinary math symbols are much appreciated.
Answer:
A
Step-by-step explanation:
edge 23
A woman has a total of $ 12 , 000 to invest. She invests part of the money in an account that pays 7 % per year and the rest in an account that pays 9 % per year. If the interest earned in the first year is $ 920 , how much did she invest in each account?
9) Gabriel took three math tests last semester. He scored a 91 on the first test, a
72 on the second test, and he couldn't remember what he scored on the third
test. When he saw his progress report, he saw that the average score for his
three tests was an 80. What did Carlos score on his third test?
PLEASE ANSWER ASAP I GOT UNTIL 6:30 AND I DONT GET IT
The average of anything can be calculated by adding up all the terms and dividing by the number of terms.
In this case,
the number of terms = 3
x = the missing test score.
(91 + 72 + x) / 3 = 80
Let's multiply both sides by 3
91 + 72 + x = 240
Combine like terms.
163 + x = 240
Subtract 163 from both sides
x = 77
Carlos scored a 77 on his third test.
Sixty three hundred thousandth in standard form what is it?
Answer:
63(10)^4
Step-by-step explanation:
630 000= [tex]63(10)^4[/tex]
Question
Community Gym charges a $40 membership fee and a $65 monthly fee. Workout Gym charges a $210
membership fee and a $55 monthly fee. After how many months will the total amount of money paid to
both gyms be the same?
i think the answer is at 15 months
A car is advertised as $288/month for 72 months. What is the cost of the car?
To
$14,400
$20,736
O
$28,800
O $17,280
Answer:
$20,736
Step-by-step explanation:
When these kind of advertisements are displayed,, it means the EMI cost per month shall be $288.
Since it provides the time period, that is 72 months,
Total cost of car in this case shall be $288 [tex]\times[/tex] 72 months = $20,736
Also, these include an interest factor, but overall it is = $20,736 only,
If one down payment for full price of the car is made the cost shall reduce by the interest amount, but since no interest rate is provided it shall be ignored.
A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing exercise programs, depends on age. Maximal heart rate is around 201 beats per minute for a 10-year-old, and decreases at a constant rate of 7 every 10 years. Which of the following inequalities best describes the ages, for which maximal heart rate is less than 180, a is >or equal to 10.. HELP
Answer:
208 - 0.7a < 180
Step-by-step explanation:
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When a submarine starts at sea level, goes down
250 feet, rises 80 feet, and descends another 18
feet, how would this be shown mathematically?
Answer:
This should be shown as:
-250 + 80 - 18 = - 118
Step-by-step explanation:
Going down 250 feet will mean going down feet 250 so it will be -250. Rising 80 feet will mean going up 80 feet so it will be adding 80. Finally, descending 18 feet will mean going down 18 feet, so it will be -18. If you put them all together as one equation, you will get -250 + 80 - 18 which is -118.
Hope this helps!
The required mathematical expression would be shown as:
-250 + 80 - 18 = - 118
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
When a submarine starts at sea level, goes down 250 feet, rises 80 feet, and descends another 18 feet which are given in the question.
Going down 250 feet means going down 250 feet, thus it will be -250. Rising 80 feet will result in an increase of 80 feet. Finally, descending 18 feet means going down 18 feet, therefore the result is -18. When you add them all together, you get -250 + 80 - 18, which equals -118.
Therefore, the required mathematical expression would be shown as:
-250 + 80 - 18 = - 118
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What is the equation of this line?
Answer:
y=4/3x-1
Step-by-step explanation:
Answer:
Yes.
because yea
Si x2 = 3 a que es igual x6
Answer:
x2=3
x= 3/2
x= 1.5
x•6= 1.5•6
x=9
A 12-inch candle burns at a rate of 2 inches per hour. What is the graph of the equation that models the height of the candle over time?
The candle burns at a rate of 1 inch per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
here, we have,
Given,
A 12-inch candle burns down in 12 hours.
∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,
= (12/12) inch/hr.
= 1 inch/hr,
Hence, The candle burns at a rate of 1 inch per hour.
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complete question:
A 12 inch candle burns down in 12 hours. at what rate does the candle burns, in inches per hour?
What’s the area of the walk?
A circular flower bed is 21 m in diameter & has a circular sidewalk around it 2 m wide. (Use pi as needed in answer)