Answer:
The square root of 120 is about 10.95
Step-by-step explanation:
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 :
https://brainly.com/question/13363104
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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
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
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.
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
Writewrite an equation of the line passing through the point p (-2, 6) that is parallel to the line x= -5.
Answer:
Since the slope of the line x= - 5 is infinite
The line will be parallel to y axis.
And the line passes through - 2, so the equation will become x= -2
What is the sum of zeros in this equation (m-10)(8m-1)=0? Enter your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP
Answer:
Step-by-step explanation:
m-10=0
m = 10
8m-1=0
8m=1
m=1/8
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.
Plsssss help!!! Brainliest....
Answer:
yous welcome
Step-by-step explanation:
6. is 2
7. is 1
8. is 100
Complete the statement relating solutions and roote
x3 = 0.008 what does the x equal
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
plesse answer this question
Answer:
number 2......................
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:
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
slope=?
please help
Answer: It's 4
Step-by-step explanation: 12-8 is 4, 4-3 is 1
2(6+y) of the expression
Answer:
12+y
Step-by-step explanation:
12y
Step-by-step explanation:
2 multiplied by all the products in the bracket
convert 8o liters to gallons. round answer to the nearest tenth.
Hello there! Your correct answer would be 21 gallons.
When you convert 80 liters to gallons.. It would be 21 gallons.
In a short answer... You could use google or your notes. I prefer your notes, as that'll help you much more than google.
✨ There is your answer, have a nice day! ✨
(Kinda figured you meant "80")
⌨ Please give me brainlest!! ⌨
The United States Capitol is
located at (2, 4) on a coordinate grid. The White
House is located at (-10, 16) on the same coordinate
grid. Find two different points on a segment joining
the United States Capital and the White House such
that the ratio of the two shorter segments created by
each point is 1:3.
Answer:
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Step-by-step explanation:
At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:
[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)
Where:
[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.
[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.
If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:
[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]
[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]
[tex]\overrightarrow{AB} = (-12,12)[/tex]
Besides, we can find the location of any point inside the line segment by using the following vectorial equation:
[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)
Where:
[tex]r[/tex] - Segment factor, dimensionless.
[tex]\vec C[/tex] - Location of resulting point, dimensionless.
There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:
[tex]r_{1} = \frac{1}{4}[/tex]
[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]
[tex]\vec C_{1} =(-1,7)[/tex]
[tex]r_{2} = \frac{3}{4}[/tex]
[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]
[tex]\vec C_{2} = (-7,13)[/tex]
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Select the correct answer.
The formula for the voltage, V, of an electrical current is V = VPR, where Pis the power measured in watts and Ris the resistance measured
In ohms.
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
OA. 0.225 watts
OB. 0.60 watts
Ос.
3.6 watts
OD
16.7 watts
I don't know the correct answer but I know its not 0.60 watts
Answer:
it is 3.6 watts
Step-by-step explanation:
there is no explanation but if needed proof i will try to post a picture of it
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
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!
According to the exponent rules, when we multiply powers with the same base
Answer:
Only move the negative exponents. Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers. , this says that to divide two exponents with the same base, you keep the base and subtract the powers.
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
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.
ir x+2 has a value of 5. then which of the following is the value of x(x+2)+3(x+2)? Show the work
that leads to your answer.
(1) 30
(3) 15
(2) 25
(4) 10
we are using binomials
Answer:the answer is 1)30
Step-by-step explanation:
−31−8+31 helppppp plweasee
Answer:
-8
Step-by-step explanation:
-31 and +31 cancel each other out leaving you with -8
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.
Is (0, 3) a solution to the inequality y > 2x + 3?
Answer:
Step-by-step explanation:
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.