Answer: x => -6
Step-by-step explanation: All you gotta do is alternate the form
The solution for the given inequality is x ≥ -6.
What are inequalities in mathematics?A declaration of an order connection between two numbers or algebraic expressions, such as greater than, equal to, less than, less than, or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations. The triangle inequality, for instance, stipulates that the length of the remaining side of a triangle is more than or equal to the sum of the lengths of any two of its sides. Many of these inequalities, like the Cauchy-Schwarz inequality, are used by mathematical analysis to prove some of its most significant theorems.
Given an equation -3−4x ≤ 21.
Solve for x
-3−4x ≤ 21
add three to both sides
-4x ≤ 24
divide by -4 into both sides (signs will be changed)
x ≥ -6
Therefore solution for the given equation in the form of inequalities is
x ≥ -6.
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A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?
Answer:
20 km/hr
Step-by-step explanation:
The total time she takes to travel 10 km is 30 minutes of 0.5 hours.
To calculate speed, we can divide the distance traveled by the time it takes.
[tex]s = \frac{10}{0.5} = 20[/tex] km/hr
what is l4x-4l+10=3x
Answer:
x=−6
Step-by-step explanation:
4x−4+10=3x
Step 1: Simplify both sides of the equation.
4x−4+10=3x
4x+−4+10=3x
(4x)+(−4+10)=3x(Combine Like Terms)
4x+6=3x
4x+6=3x
Step 2: Subtract 3x from both sides.
4x+6−3x=3x−3x
x+6=0
Step 3: Subtract 6 from both sides.
x+6−6=0−6
Answer:
l4x-
Step-by-step explanation:
Sorry I hope this is it I hoped it help sorry.
please leave a thanks.
In an auditorium, the front 39 rows with 53 seats in each row are for kids while all 53 seats in each of the remaining 61 rows are for adults. How many seats are there in the auditorium?
Answer:
The auditorium has a total of 5,300 seats
Step-by-step explanation:
The seats for kids can be calculated by multiplying the number of rows by the number of seats per row:
Seats for kids=39*53 =2,067 seats
The seats for adults are calculated in a similar way:
Seats for adults = 61*53= 3,233 seats
Total seats: 2,067+3,233 = 5,300
The auditorium has a total of 5,300 seats
Two sides of a triangle have lengths 5 and 4. Which of the following can NOT be the length
of the third side?
A.1
B.4
C.2
D.3
Answer:
im guessing b.4
Step-by-step explanation:
It is not possible to have a) 1 as one f the third side of the triangle
What is triangle inequality theorem ?
It defines the relationship between the sides `of a triangle .
The triangle inequality theorem states that sum of length of two sides of a triangle is greater than the length of the third side .
a + b > c
correct answer option a) 1
it is not possible to make a triangle if one side is 1 because triangle inequality theorem will be violated
1 + 4 = 5 and not greater than 5
hence , not possible
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Patty walked 2/5 of a mile in 5 1/2 minutes. At this rate, how long will it take Patty to walk 3 miles?
Answer:
41.25 minutes i think sorry if its wrong
(9x-2y)/xy when x-4 and y=-2
Answer:
-5
Step-by-step explanation:
Answer:
GIVEN x=4 and y=-2
So, in (9x-2y)/xy when we apply x=4 and y=-2
{9(4)-2(-2)}/(4)(-2)
36+4/-8
40/-8
-5/1
=-5
Given:
A= The square root of 3
B= 2 times the square root of 3
C= The square root of 25
D= The square root of 16
Which expressions result in a rational number? Select all that apply.
a. a+b
b. c+d
c. a+d
d. a*b
e. b*d
f. c*d
g. a*a
Answer:
b, d, f, gStep-by-step explanation:
Given:
A= √3 B= 2 √3 C= √25 = 5D= √16 = 4Possible expressions resulting in a rational number are the product of A and B and any combination of C and D as they are rational
Correct choices
b. c+d = 5+4 = 9d. a*b = √3×2√3 = 2×3 = 6f. c*d = 5×4 = 20g. a*a = √3×√3 = 3i need help in geometry :(
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Answer:
82 ft
Step-by-step explanation:
We can find the value of x by making use of the fact that corresponding angles have equal measures.
∠K = ∠N
20x -10 = 15x +15
5x = 25 . . . . . . . . . . add 10-15x
x = 5 . . . . . . . . . . . . divide by 5
Then the side lengths are ...
JK = (4x -4) ft = (4·5 -4) ft = 16 ft
KL = (5x +1) ft = (5·5 +1) ft = 26 ft
And the perimeter is the sum of side lengths:
16 ft + 26 ft + 40 ft = 82 ft
The perimeter of each pool is 82 feet.
13+18 times 3 what does this equal
Answer:
93
Step-by-step explanation:
13+18 = 31
31x3= 93
nicholas started a canned food drive at school. the equation representing this is y=235=15, where x is the number of days, and y is the number of cans collected. explain how to determine how many days it would take to collect 2600 cans.
Answer:
195 cans will be left after 10 days
Sample Answer: I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.
Step-by-step explanation:
i did the edge thing
Answer:
I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.
Step-by-step explanation:
hope this helps
did it on edge
have a good day
Can someone help me plz
Answer:
Answer 3
Step-by-step explanation:
Answer:
A. 27
Step-by-step explanation:
trust me
Adam has $450. He spends $210 on food. Later he divides all the money into four equal parts. Then gives three parts to his friends, and he keeps one for himself. Later, he found $50 on the road.
Answer:
$110
Step-by-step explanation:
450-210= 240÷4= 60 +50=110
three times a number m
Answer:
3n
Step-by-step explanation:
3 x n
simplifies to be
3n
hope this helps
If a dose of 100mg is contained in 4cc, how many cubic centimeter are in 40mg?
i’ll mark brainlest to whoever answers this question first! :)
Answer:
me
Step-by-step explanation:
According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New Englandâbased lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.
Required:
a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.
b. Using the sample from the 60 bottles, what is the test statistic?
c. At α = 0.05, what is your conclusion?
Answer:
a
The null hypothesis is [tex]H_o : \mu = 32.48[/tex]
The alternative hypothesis is [tex]H_a : \mu < 32.48[/tex]
b
[tex]t = -1.504[/tex]
c
There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Step-by-step explanation:
From the question we are told that
The mean price of is [tex]\mu = \$ 32.48[/tex]
The sample size is n = 56
The sample mean is [tex]\= x = \$30.15[/tex]
The standard deviation is [tex]\sigma = \$12[/tex]
The null hypothesis is [tex]H_o : \mu = 32.48[/tex]
The alternative hypothesis is [tex]H_a : \mu < 32.48[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{30.15 - 32.48 }{\frac{12 }{\sqrt{60} } }[/tex]
=> [tex]t = -1.504[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P (t < -1.504 )[/tex]
From the z-table
[tex]P(t < -1.504) = 0.066291[/tex]
So
[tex]p-value = 0.066291 [/tex]
From the value we obtain we see that
[tex]p -value > \alpha[/tex]
Then we fail to reject the null hypothesis
Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
(1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°
Rephrase: what is 35% of $120?
The pet store currently has 430 frogs. Last night 114 jumped out and
escaped. What was the inventory before the great frog escape?
Answer:
544
Step-by-step explanation:
430+114
3^-3 find the value of power
Answer:
0.037
hope thats the answer
Answer:
Answer= 0.037
Step-by-step explanation:
([tex]3^{-3}[/tex]) is the same as [tex]\frac{1}{3^{3} }[/tex]
(the negative power rule states that [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])
which is equal to [tex]\frac{1}{27}[/tex]
or converted to decimals it will be equal to 0.037
How do I find x in this equation?
Answer:
Exact Form:
x
=29/20
Decimal Form:
x=1.45
Mixed Number Form:
x=1 9/20
Step-by-step explanation:
I did that before trust me I know
Can someone help me I am confused
What is the least common multiple of 9, 17, and 51? A. 51 B. 102 C. 153 D. 867
Answer:
C. 153Hope this helps
shshsgshsh
Answer:
C. 153
Step-by-step explanation:
I just did this quiz and got it right!! Hope this helps! :D
4 pound tomato cost 14 dollar how much does 1 pound cost
Answer:$3.50
Step-by-step explanation:
14/4 =3.5. To check answer multiply 3.5 by 4. You get 14
A coral reef grows 0.12 minutes every week. How much does it grow in 8 weeks?
Answer:
0.96
Step-by-step explanation:
0.12 x 8 = 0.96
P= 2/ + 2w Find The Width
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Answer:
W = P/2 -L
Step-by-step explanation:
Divide by 2 and subtract L.
P = 2L +2W
P/2 = L +W
P/2 -L = W
The width is ...
W = P/2 -L
I need help please! 7:44 est need rn
Answer:
B. [tex]3^{6}[/tex]
Step-by-step explanation:
[tex]3^{8} = 6561[/tex] [tex]3^{2} = 9[/tex] 6561 ÷ 9 = 729Option B, [tex]3^{6}[/tex], is equal to 729, so that is the right answer.I hope this helps!
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If each side of the park on the map is 12 inches long, how long is each side of the actual square park?
1 inch to 100 feet
12 inches = 1200 feet.
Just multiply both sides by 12.
The answer is 1200 feet.
i’ve been on this question for 22 minutes please help me
Answer:
F
Step-by-step explanation:
Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.
How much did Diego pay for the 12 books?
PLEASE INCLUDE AN EXPLANATION
Answer:
$36
Step-by-step explanation:
i dont know how to explain it but heres the number answer
Answer:
well 3÷13= 4.33 and 4.33×12=52