[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]
[tex]\text{Interval solution,} ~(-\infty, 4][/tex]
Best answer gets brainiest! (plz help me!)
what is the circumference and the mass of Jupiter and Saturn combined? (both the circumference and mass)
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps
Answer:
378,675 km (Saturn) + 449,197 km (Jupiter) = 827, 872 km (514,416 mi)
5.683 × 10^26 kg (Saturn) + 1.898 × 10^ kg (Jupiter) =568300000000000000000000018.98 kg (5.683 × 10^26)
List the angles of A KLM with vertices
K(-2,-2), L(2, 6), M(7, -2) in order
from smallest to largest.
The required angles from smallest to largest are m<M < m<L < m<K
Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)
The angle opposite the side KL is m<MThe angle opposite the side KM is m<LThe angle opposite the side LM is m<KGet the measure of KL, KM and LM using the distance formula as shown:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]
For the length KL with coordinate points K(-2,-2), L(2, 6)
[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]
For the length KM with coordinate points K(-2,-2), M(7, -2)
[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]
The length LM with coordinate points L(2,6), M(7, -2)
[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]
From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K
Learn more on distances between two points here: https://brainly.com/question/23848540
720 inches per second to miles per minute
Answer:
0.681818 miles per min
Step-by-step explanation:
I need to know this give me answer
Answer:the answer is b 10/21
Step-by-step explanation:
Answer:
B) 10/21
Step-by-step explanation:
Keep, change, flip
keep 2/7, change to multiply, flip to 5/3
2/7 x 5/3 = 10/21
Hope this helps! Pls give brainliest!
The sum of Alyssa's age and her sister's age is 48 years. Alyssa's age is 6 years less than twice her sister's age. What is Alyssa's age, and what is her sister's age?
Answer:
Alyssa's Sister = 18, Alyssa = 30
Step-by-step explanation:
48 = 2x-6 + x
54 = 2x + x
54 = 3x
18 = x
2(18) - 6
36 - 6
30
48 = 2(18) - 6 + 18
48 = 36 - 6 + 18
48 = 30 + 18
48 = 48
What value of x would make △PQR~△MNL?
Answer:
The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16
Step-by-step explanation:
The ratio of three numbers is 4 : 1 : 7. The sum of the numbers is 24. What are the three numbers?
Answer:
8, 2, 14
Step-by-step explanation:
sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then
24 ÷ 12 = 2 ← value of 1 part of the ratio, then
4 parts = 4 × 2 = 8
7 parts = 7 × 2 = 14
The 3 numbers are 8, 2, 14
3x + y =4 in standard form
Answer:
3x+y=4
Explanation:
Standard form is Ax + By = C
what is greater -5 1/2 or -6.5
Answer:
-5 1/2
Step-by-step explanation:
-5 1/2=-5.5 which is closer to 0
Hey there!
GUIDE:
> is greater than
• is the GREATER THAN the other number
< is less than
• your number is LESS THAN the other number
≥ is greater than or equal to
• it means that either a number is greater or equal to the other number
≤ Is less than or equal to
• it means that either a number is less or equal to the other number
= is equal
• it means that it is equal to the other number
SOLVING FOR YOUR ANSWER!
-5 1/2 __?__ -6.5
-5 1/2
= -5 * 2 + 1 / 2
= -10 + 1 / 2
= -11 / 2
= -5.5
= -5.5 > -6.5
Therefore, your answer should be:
-5 1/2 > -6.5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find e and d
3e+d=8
2e+d=8
Answer:
Step-by-step explanation:
these are the last 2 I need
Answer:
A and A
Step-by-step explanation:
5x10^6 is how many times greater than 5x10^4
Answer:
By 100 times.
Step-by-step explanation:
Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.
By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.
5x10^6= 5000000
5x10^4= 50000
10^6 - 10^4 = 10^2 ---> 100 times.
Hope that helps, :)
For all values of x, which expression is equivalent to (3x + 2) + 2(3x + 2)?
es)
A)
6x + 4
B)
6x + 6
C)
9x + 4
D)
9x + 6
o
(MAFS.6
Answer:
[tex]9x+6[/tex]
Step-by-step explanation:
[tex]\left(3x+2\right)+2\left(3x+2\right)[/tex]
[tex]x+2+2\left(3x+2\right)[/tex]
[tex]3x+2+6x+4[/tex]
[tex]9x+6[/tex]
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf(3x + 2) + 2(3x + 2)[/tex][tex](3x + 2) +[(2 \times 3x) +( 2 \times 2)][/tex][tex] \sf3x + 2 + 6x + 4[/tex][tex] \sf3 x + 6x + 2 + 4[/tex][tex] \sf9x + 6[/tex]PLEASE HELP
Timmy has a collection of 95 coins consisting of
dimes and nickels in his piggy bank. The total value of his
bank is $6.50. How many dimes are in his collection? How
many
nickels are in the collection?
Answer:
35 dimes and 60 nickels
Step-by-step explanation:
let d = # of dimes and n = # of nickels
We know that Timmy has a total of 95 coins, consisting of dimes and nickels
So d + n = 95
The total value of his bank is $6.50
A dime is worth $0.10 and a nickel is work $0.05
So 0.10d + 0.05n = $6.50
Note that we've just created a system of equations that we can solve
We have the two equations
0.10d + 0.05n = 6.50 and d + n = 95
There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.
First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.
d + n = 95
- subtract d from both sides -
n = 95 - d
We now defined "n"
Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.
0.10d + 0.05n = 6.50
n = 95 - d
0.10d + 0.05(95 - d) = 6.50
we now solve for d
0.10d + 0.05(95 - d) = 6.50
step 1 distribute the 0.05
0.05 * 95 = 4.75 and 0.05 * -d = -0.05d
0.10d + 4.75 - 0.05d = 6.50
step 2 combine like terms 0.10d - 0.05d = 0.05d
0.05d + 4.75 = 6.50
step 3 subtract 4.75 from both sides
0.05d = 1.75
step 4 divide both sides by 0.05
0.05d / 0.05 = d and 1.75 / 0.05 = 35
d = 35
Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )
d + n = 95
d = 35
35 + n = 95
subtract 35 from both sides
n = 60
We can conclude that he has 35 dimes and 60 nickels
Alguien me dice que debo hacer aqui porfavor es para un examen
Answer:
Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.
Step-by-step explanation:
if f (x)=x^2-x-1, then f(-5)=
[tex]\text{Given that,}\\\\f(x) = x^2-x -1\\\\f(-5) = (-5)^2 -(-5) -1 = 25 +5 -1 = 29[/tex]
I need help with this question
Answer:
30.75 hours.
hope it helps, so may i have my brainliest?
Step-by-step explanation:
20.5 * 1.5 = 30.75
mr.wilson drives 450 miles in 7 hours. at this rate about how many miles does he drive in 6 hours????
A.) 101
B.) 254
C.) 340
D.) 386
Answer:
D
Step-by-step explanation:
Divide distance he drives by 7 to find hourly rate, then multiply this by 6
450 miles ÷ 7 ≈ 64.29
Then
6 × 64.29 = 385.74 ≈ 386 miles
How do I do that I need desperat help pls
9 because 12 + is greater than/equal to 9+3
I desperately need help !
Answer:
t = 9.57
Step-by-step explanation:
We can use trig functions to solve for the t
Recall the 3 main trig ratios
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent.
( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )
We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"
When dealing with the opposite and adjacent we use trig ratio tan.
Tan = opp / adj
angle measure = 62 , opposite side length = 18 and adjacent = t
Tan(62) = 18/t
we now solve for t
Tan(62) = 18/t
multiply both sides by t
Tan(62)t = 18
divide both sides by tan(62)
t = 18/tan(62)
t = 9.57
And we are done!
want to check my answer
Answer:
Yes. The answer is good 3x+1
Lorinda can walk 1.8 miles in 30 minutes.
Which proportion can be used to find how many miles she can walk in 45 minutes?
Answer:
B. (1.8)/(30) = (x)/(45)
Help? If im given the option ill give you brainliest!
Answer:
Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.
Step-by-step explanation:
A store manager is marking down microscopes from $1,000 to $620. What is the discount, as
a percentage?
My question is in the attachment.
Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
Answer:
The son is 5 and the father is 25.
Step-by-step explanation:
We can do this using Algebra.
Let the son be x years old.
Then the father's age is x + 20 years.
After 5 years the father's age is x + 25 and the son is x + 5 years.
So we can write the equation:
x + 25 = 3(x + 5)
x + 25 = 3x + 15
25 - 15 = 3x - x
10 = 2x
x = 5.
So the father's present age is 20 + 5 = 25 and the son is 5 years old.
What is the volume of 4 19 31 10 62
Answer: 1460720
To find volume just multiply them all-
4*19*31*10*62
1460720 ( i am not sure if those are the numbers you meant)
What are the different ways to choose the tens digit, B, in the number 76581B2, so that the number will be divisible by 4? Explain your reasoning.
Find the domain of function F defined by
F(x) =1/√|x-1|
Answer:
Therefore, |x-1|>0
=> (x-1)>0 or - (x-1)>0
=> x > 1 or x < 1
=> (- infinity, 1) U (1, infinity)
Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.
The amount that should deposit monthly is $164.98
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)Substitute the given values into the formula to have:
[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]
Hence the amount of money they started with is $19,524.89.
Amount to deposit monthly = 19,524.89/120
Amount to deposit monthly = $164.98
Hence the amount that should deposit monthly is $164.98
Learn more on compound interest here: https://brainly.com/question/24274034
A motorcycle can travel 60 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 40 km? [1 mile = 1. 6 km] 0. 04 0. 08 0. 20 0. 42.
The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
Given that,
A motorcycle can travel 60 miles per gallon.
We have to find,
How many gallons of fuel will the motorcycle need to travel 40 km?
According to the question,
The motorcycle travel 60 miles per gallon,
The motorcycle travels 40 km,
To convert it into kilometers 60 miles per gallon.
[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]
Therefore,
The gallons of fuel will the motorcycle need to travel 40 km is,
[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]
Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
For more details refer to the link given below.
https://brainly.com/question/13108874