Answer: 6 and 7
Step-by-step explanation:Consider square numbers either side of 44, that is
36 < 44 < 49, then
< < , that is
6 < < 7
Find the value of a for which the solution of the inequality is all real numbers
a(x + 3) < 5x + 15 - X
Answer:
x = 3
Step-by-step explanation:
(3 • (5x - 15)) - 15 • (x - 3) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
5x - 15 = 5 • (x - 3)
Equation at the end of step
3
:
15 • (x - 3) - 15 • (x - 3) = 0
STEP
4
:
Pulling out like terms
4.1 Pull out 15
Pulling out like terms :
4.2 Pull out x-3
After pulling out, we are left with :
15 • x-3 • ( 1 * 1 +( (-1) * (-1) ))
Equation at the end of step
4
:
30 • (x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 30 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
One solution was found :
x = 3
The required value of a for which the solution of the inequality is all real numbers is a > 4.
What is inequality?
A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
a(x + 3) < 5x + 15 - x
or, a(x + 3) < 4x + 15
Now let us solve for x first,
⇒ ax + 3a < 4x + 15
Subtract 3a from both sides we get,
ax < 4x + 15 - 3a
Subtract 4x from both sides we get,
ax - 4x < 15 - 3a
or, (a - 4)x < 15 - 3a
Dividing both the side by (a - 4) we get,
x < (15 - 3a) / (a - 4)
Now for solutions to be real numbers,
a - 4 > 0
subtracting 4 both the side we get,
⇒ a > 4
this is the required value of a for which the solution of the inequality is all real numbers
Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.
To learn more about inequality :
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What is 67 1/2 as a fraction
Answer:
67.5
Step-by-step explanation:
you turn your fraction into a decimal and to find the decimal you take the number and put it out of 100 such as 1/2 is 50/100 therefore meaning you get .50
67 1/2 in fraction form is 135/2 .
Given,
67 1/2 in mixed fraction .
Now to convert mixed fraction to simple fraction follow the following steps,
Multiply the whole number and denominator of the fraction . After that add numerator part to the result of multiplication . Fraction will be formed by keeping the denominator same,
Thus the resultant will be,
67*2 = 134
134 + 1 = 135
Hence the fraction part is :
135/2.
Know more about fractions,
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Which is NOT a common denominator for 23 and 12 ?
A. 18
B. 12
C. 6
D. 3
Answer:
All of the choices are not a common denominator…
Step-by-step explanation:
23 can be divided into all of the choices, but it does not come out even. If there is a choice that is all of them, that's the answer!!
Good luck and have an amazing day! C:
is 1,2 a function?
If it’s correct I will cashapp you :))
Answer:
yes
Step-by-step explanation:
Since there is one value of y for every value of x, this relation is a function.
The relation is a function.
if you answer this question your cool
Answer:
D. 40
Step-by-step explanation:
Triangles add up to 180 degrees so...
110 + 30 + x = 180
140 + x = 180
x = 40
Yeah Ik!
You're cool too!
What is the value of x in the equation 8+4 = 2(x-1)?
5
11
2
13
2.
7
Answer:
x = 7
Step-by-step explanation:
solve for m. m=-(4+m)+2
Answer:
m= -1
Step-by-step explanation:
Order summands
2
Apply negation to the value inside parentheses
3
Add the numbers
4
Add
mm
to both sides of the equation
5
Simplify
your 6 1/4 - year investment of 40,000 at 14% compounded quarterly is worth how much now?
Answer:
The investment of $40,000 is worth $94,529.80 now
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
To calculate the final amount we use:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.
Applying the formula:
[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]
[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]
A=$94,529.80
The investment of $40,000 is worth $94,529.80 now
HELP ME I NEED HELP EASY 10 POINTS
Answer:
X = 14
give me brainliest please
Step-by-step explanation:
3x + 29 = 7x - 27
3x + 56 = 7x
56 = 4x
x = 14
( 50 points) someone please try to answer this correctly please
Is (0, 3) a solution to the inequality y > 2x + 3?
Answer:
Step-by-step explanation:
what is the answer! i need it nowww !
2+2(6x-3)=10x+ negative4
Chad sells custom T-shirts with five friends. They want to make enough money so that, after splitting the earnings evenly, each person earns 40
Answer: They earned 500 bucks in total
Answer:
They want to make 200 dollars
Step-by-step explanation:
40*5=200
x3 = 0.008 what does the x equal
A teacher is selling tickets to a play. Adults tickets cost $8 each and children’s tickets cost $5 each. They collect $275 after selling x adult tickets and y children’s tickets. What does (30,7) mean in this situation?
Answer: 30 adult tickets and 7 children's tickets
plesse answer this question
Answer:
number 2......................
0. A line has a slope of - 3/4 and a y-intercept of 3. What is the equation of the line?
Answer:
y= -3/4x+3
Step-by-step explanation:
The general equation is y=mx+b with m representing the slope, and b representing the y-intercept. So if you are given the slope and y-intercept, you just plug those in for m and b respectively. Hope this helps!
If x is 6, then 7x =
Answer:42
Step-by-step explanation: You have to multiply 7 per 6 and so the result will be 42.
Spoopy doopy doo ill ask a question and first, to get correct I will give the brainiest.
Tim has 789 Oreos Jon has 2x more Oreos than Tim, Pops has 4 times more than Jon how many Oreos does everyone has altogether? ASAP or I won't give brainiest.
4,734 is the answer because I used my calculator XD
Step-by-step explanation:
8679 easy equation all u gotta do is multiply 789 times 2 then take that number and multiply it by 4 and add all the numbers u got up
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
A. 121
B. 7
C. 1.75
D. 30.25
Simplify√16 r6
A) 4r2
B) 4r3
C) 8r2
D) 8r3
Answer:
B) [tex]4r^{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{16r^{6}}=\sqrt{4*4* r^{(3*2)}\\[/tex]
[tex]=\sqrt{4^{2}*(r^{3})^{2}}\\\\=4*r^{3}\\\\=4r^{3}[/tex]
Answer:
B) 4r3
Step-by-step explanation:
Hope this helps.
For me and Thomas uhh
Answer:
what does that question mean?
Meryl needs to cut down 10.5 trees for every 5 cabins she builds.
Answer:
6.3, 14.7
Step-by-step explanation:
10.5 tress for 5 cabins, using 10.5/5 (2.1) we can assume there is 2.1 trees per cabin.
3*2.1= 6.3
7*2.1=14.7
Answer:
the answers are 6.3 and 14.7. Put the 6.3 beside the 3 in the table and put the 14.7 beside the 7 or it'll be counted as incorrect.
Lainey read 15,700 words of her book on her family's road trip to the beach. Write the number of words that she read in scientific nototion.
Answer: 1.57 x 104
Step-by-step explanation: How to Convert a Number to Scientific Notation
The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
−31−8+31 helppppp plweasee
Answer:
-8
Step-by-step explanation:
-31 and +31 cancel each other out leaving you with -8
Find three rational numbers between 1/2 and 2/3
Answer:0.51, 0.52, 0.53
Step-by-step explanation:
Answer:
1/3,1/4 and 2/3
Step-by-step explanation:
A hall has 35 rows. Each successive row contains two additional seat. If the first row has 20 seats, how many seats are in the hall?
Answer:
There are 1,890 seats in the hall
Step-by-step explanation:
The number of seats in the first row = 20 seats
The number of rows in the hall = 35 rows
The number of additional seat per row = 2 Seat
Therefore, the sequence of seats in the hall is an arithmetic sequence with the first term, a = 25, the common difference, d = 2, and the number of terms, n = 35
The formula for finding the sum of n-terms of an arithmetic progression, Sₙ is given as follows;
Sₙ = n/2 × [2·a + (n - 1)·d]
Plugging in the values, we get;
Sₙ = 35/2 × [2 × 25 + (35 - 1)×2] = 1890 seats
Therefore, there are 1,890 seats in the hall.
I need a squared number thats NOT even
Answer:
As all even square numbers are divisible by 4, the even numbers of the form 4n + 2 are not square numbers. As all odd square numbers are of the form 4n + 1, the odd numbers of the form 4n + 3 are not square numbers.
Answer:
9
Step-by-step explanation:
9 is a square number, since it can be written as 3 × 3.
Select three ratios that are equivalent to 8:58,
Choose 3 answers:
(Choice A)
A
16:10
(Choice B)
B
50:80
(Choice C)
C
48:30
(Choice D)
D
32:20
(Choice E)
E
64:35
Answer:
Step-by-step explanation:
Given expression:
The ratio equivalent to 8:58
let us first reduce this ratio to the simplest term:
Divide by 2;
4 : 29
A. 16: 10
Reduce to the simplest term by dividing by 2;
4 : 5
B . 50:80
Reduce to the simplest term by dividing by 10;
5 : 8
C. 48 : 30
Reduce to the simplest term by dividing by 6:
8 : 5
D. 32 : 20
Divide through by 4;
8 : 5
E. 64 : 35
Cannot be further simplified
z=1+4i
Find the angle 0(theta) in degrees that z makes in the complex plane.
Round your answer, if necessary, to the nearest tenth. Express 0(theta) between -180 and 180 degrees.
Answer:
76.0 degrees
Step-by-step explanation:
Just got it right on the Khan Academy quiz.