Answer:
x < -8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
12 < -3(x + 4)
Step 2: Solve for x
Distribute -3: 12 < -3x - 12Add 12 to both sides: 24 < -3xDivide -3 on both sides: -8 > xRewrite: x < -8Here we see that any value x that is smaller than -8 would work.
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?
Answer:
39
Step-by-step explanation:
let the 2 digit number be ab = 10a + b ( considering place value )
The reversed 2 digit number is ba = 10b + a
The sum of the 2 digit number is
a + b = 12 ( subtract b from both sides )
a = 12 - b → (1)
Expressing as an equation
ba = ab + 54 , that is
10b + a = 10a + b + 54
Substitute a = 12 - b into the equation
10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides
9b + 12 = 120 - 10b + b + 54
9b + 12 = - 9b + 174 ( add 9b to both sides )
18b + 12 = 174 ( subtract 12 from both sides )
18b = 162 ( divide both sides by 18 )
b = 9
Substitute b = 9 into (1)
a = 12 - 9 = 3
Thus
the original 2 digit number = ab = 39
The reversed 2 digit number = ba = 93
which is 54 more than the original number
3x^2 + 2x^2=
6x^3 - 2x^3=
first answer gets brainiest :)
Answer:
1) [tex]13x^{2}[/tex]
2) [tex]208x^{6}[/tex]
Step-by-step explanation:
(3*3(x)^2) + (2*2(x)^2) = 9x^2 + 4x^2 = 13x^2
(6*6*6(x)^3) - (2*2*2(x)^3) = 216x^3 - 8x^3 = 208x^3
Choose the linear equation written in slope-intercept
form that matches each graph.
Answer:
D
Step-by-step explanation:
y-intercept or "b":
the line touches the y-axis at -4
slope:
the line rises 1, runs 1 every time
equation:
the y-intercept of -4 combined with the slope of 1/1 is the equivalent of
y=1x/1-4 OR in a more simplified format: D, y = x - 4
Please help 13 points and will give branliest :)
Answer:
a. Yes
b. minutes 3 to 6
c. yes, as long as they do not have the same x-value.
Answer for brainliest and 15 points
Answer:
1) C
2) O
3) P
4) T
5) I
6) C
7) P
8) S
9) A
10) L
11) T
12) E
13) L
Step-by-step explanation:
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction
Given:
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
To find:
The correct multiplication that can be used to check this division problem.
Solution:
We have,
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]
Multiply both sides by [tex]\dfrac{4}{15}[/tex].
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].
Therefore, the correct option is B.
Answer:
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction
Two-fifths times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 15 Over 4 EndFraction
Five-halves times StartFraction 15 Over 4 EndFraction
Step-by-step explanation:
( B) AKA 3/2 x 4/15 . This is correct because I just took the test
Simplify the expression 32a769. Assume a = 0 and b +0.
Enter the correct answer in the box.
Answer:
2a^2b^3 ^3squareroot4a
Step-by-step explanation:
Is it possible for two numbers to have a difference of 5, and a sum of 12?
Answer:
yes, 8.5 and 3.5
Step-by-step explanation:
8.5 + 3.5 = 12
8.5 - 3.5 = 5
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The two numbers are 8.5 and 3.5.
Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
3x = 4 + 3 is an equation.
We have,
Let the two numbers be M and N.
Now,
Two numbers have a difference of 5.
This can be written as,
M - N = 5 _____(1)
Two numbers sum is 12.
This can be written as,
M + N = 12 _____(2)
From (1) and (2) we get,
M - N = 5
M = 5 + N _____(3)
Putting (3) in (2)
M + N = 12
5 + N + N = 12
5 + 2N = 12
2N = 12 - 5
2N = 7
N = 7/2
N = 3.5
Putting in (3) we get,
M = 5 + 3.5
M = 8.5
We can cross-check.
M - N = 5
8.5 - 3.5 = 5 (PROVED)
M + N = 12
8.5 + 3.5 = 12 (PROVED)
Thus,
The two numbers are 8.5 and 3.5.
Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.
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A rubber tree is 95 inches tall and growing at a rate of 4 inches per year. A cactus is 40 inches tall and growing at arate of 5 inches per year. After how many years will the rubber tree be shorter than the cactus tree
Q4. Find the range, standard deviation, and variance for the following sample data:
33, 55, 29, 40, 8, 90, 61, 41, 17, 80, 56, 17, 59, 21,78
plz answer this!
Answer:
40 I think but no I think
PLS HELP DUE TODAY i will give brailest if you show all work please help
Answer:
15) 3(4+r)=-18
3x4+3xr
12+3r= -18
-12 -12
3r= -30
/3 /3
r= -10
Step-by-step explanation:
distribute the 3 to the 4 and the r you should then have 12+3r=-18 and so subtract from both sides 12 and you should have 3r=-30 divide both sides by 3 and you get your answer r=-10
Answer:
(7) n=9
8) x=8
9) m=-7
10) b= -6
11) r=6
12)b=10
13)v=8
14)k=-8
15)r=-10
16)p=20
17)v=10
18)x=21
19)a=28
20)b=10
Step-by-step explanation:
Are u confused, depressed, and need help with homework?
Too bad, so am i
it's ok.
Answer:
true, i feel ya.
Mars is about 35,000,000 miles away from earth. If the moon is 250,000 miles away from earth, about how many times further is Mars?
Answer:
mars is 140 times farther than the moon
Step-by-step explanation:
hope this helped :-)
Line M is represented by the following equation: x − y = 8
Which equation completes the system that is satisfied by the solution (18, 10)? (4 points)
a
2x − y = 26
b
x + y = 18
c
2x − 2y = 36
d
x − y = −28
Answer:Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.
A) 2x - y = 26
2(18) - 10 = 26
36 - 10 = 26
26 = 26
Your answer is A.
I'll just do the rest to show that you the they are incorrect.
B) x + y = 18
18 + 10 = 18
28 ≠ 18
C) 2x - 2y = 36
2(18) - 2(10) = 36
36 - 20 = 36
16 ≠ 36
D) x - y = -28
18 - 10 = -28
8 ≠ -28
Your answer is A) 2x - y = 26.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
2(18) - (10) = 26
36 - 10 = 26
please help .thanks
Answer:
2 and 1/5 is greater than 2.15
Step-by-step explanation:
This is true because 1/5 is equal to .20 which is greater than .15
Answer:
B, >
Step-by-step explanation:
2 1/5
2*5= 10+1= 11
11/5 vs 2.15
2.2 vs 2.15
2.2 > 2.15
Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.
The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).
Let the given number be x.
Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:
= 3(6 + x)
In conclusion, the correct option will be 3(6 + x).
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Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
5.00 0.55 0.005 5.005 5.5
0.55, 0.005, 5.00, 5.5, 5.005
0.005, 0.55, 5.00, 5.005, 5.5
0.005, 5.00, 0.55, 5.005, 5.5
Answer:
ima guess 3
Step-by-step explanation:
Answer:
the 3rd one
Step-by-step explanation:
0.005, 0.55, 5.00, 5.005, 5.5
brainlyest?
The equation of the line in the graph is y= (blank) x+ (blank)
Hellppppppppppppppppp
Answer: im pretty sure its option 2
Step-by-step explanation:
Find the third, fifth, and seventeenth terms of the sequence described by
the explicit formula: f(n)=-9.2-2.5(n-1)
Given:
The explicit formula of a sequence is
[tex]f(n)=-9.2-2.5(n-1)[/tex]
To find:
The third, fifth, and seventeenth terms of the sequence.
Solution:
We have,
[tex]f(n)=-9.2-2.5(n-1)[/tex]
For n=3,
[tex]f(3)=-9.2-2.5(3-1)[/tex]
[tex]f(3)=-9.2-2.5(2)[/tex]
[tex]f(3)=-9.2-5[/tex]
[tex]f(3)=-14.2[/tex]
For n=5,
[tex]f(5)=-9.2-2.5(5-1)[/tex]
[tex]f(5)=-9.2-2.5(4)[/tex]
[tex]f(5)=-9.2-10[/tex]
[tex]f(5)=-19.2[/tex]
For n=7,
[tex]f(7)=-9.2-2.5(7-1)[/tex]
[tex]f(7)=-9.2-2.5(6)[/tex]
[tex]f(7)=-9.2-15[/tex]
[tex]f(7)=-24.2[/tex]
Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.
Kelly read 13 chapters of a 25 chapter book. What percent of the book is completed?
What is the first step in simplifying the following expression?
(((4+7) -2)^2 *4 -1 ÷2)
Your answer:
1÷2
2^2
2*4
(4+7)
(helppp!)
According to BODMAS rule...
We would first solve...
Bracket i.e.(4+7)
X-4y=15 and 8x-5y=42
Answer:
y=-2 8/9
x=31 1/2
Step-by-step explanation:
x-4y=15 --> x=4y+15
8x-5y=42
8(4y+15)-5y = 42
32y +120 - 5y = 42
27y = -78
y=-2 8/9
x=31 1/2
Which steps can be used in order to determine the solution to -1.3+4.6x=0.3+4x?
Answer:
x = 2.67
Move variables to the right and constants to the left, Then divide and you get the answer.
Step-by-step explanation:
-1.3+4.6x=0.3+4x (given)
-1.3x + 0.6x =0.3 (subtraction property of equality)
0.6x = 1.6 (addition property of equality)
x = 2.66666666667 (division property of equality)
2.66666666667 = 2.67 (rounding to the nearest tenth)
Plz plz help help help plz plz help plz
Answer:
since your adding to hours each time youll have 11, then the answer would be d the last one :)
Step-by-step explanation:
Answer:25.50 an hour
Step-by-step explanation:
Put these in order starting from the smallest
5^2 2^4 3^3 1^8
Answer:
1^8, 2^4, 5^2, 3^3 is the answer.
The numbers ordered from the smallest to the largest is [tex]1^{8} , 2^{4} , 5^{2} , 3^{3}[/tex].
What is the order of the numbers?In order to determine the order of the numbers, we have to solve for the numbers. The power of a number can be solved by multiplying a number by its number of power.
[tex]5^{2}[/tex] = 5 x 5 = 25
[tex]1^{8}[/tex] = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1
3³ = 3 x 3 x 3 = 27
[tex]2^{4}[/tex] = 2 x 2 x 2 x 2 = 16
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PLEASEEEEE HELPPPP ASPPPPPPP
Answer:
The answer is A because a number on it's own is a constant (30) and a number with a variable is a coefficient (12h)
Macy's charges $12 for an item plus a $10 shipping and handling charge for the order. What is the cost of an order of of 5 of those items?
Answer pls idk get it pls
Answer:
$72 is your answer
Step-by-step explanation:
hope this helps ♡
What is the sum of the first five prime numbers?
18
26
28
39
P(An B)
P(AB) =
P(B)
Freshmen
Sophomores
Juniors
Seniors
1
4
2.
Boys
3
9
7
6
5
Girls
P(Boy|Senior) =
ON
?
The probability of P(Boy/Senior) is 2/37.
Given that, the total number of students=37 and the number of senior boys=2.
P(A|B)=P(A ∩ B)/P(B).
We need to find P(Boy/Senior).
What is P(A∩B)?P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.
Now, P(Boy/Senior)=2/37.
Therefore, the probability of P(Boy/Senior) is 2/37.
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Answer:
2/7
Step-by-step explanation:
2 seniors / 7 seniors in total