Step-by-step explanation:
1/3(9x+3)=3x+1 multiply inside the parenthesis with 1/3
(9x+3)/3 = 3x + 1 multiply both sides of the equation by 3
9x + 3 = 9x + 3 add like terms
0 = 0 which means there are infinitely many solutions for this equation therefore infinitely many values for x
Answer:
x is any number
infinite solutions
Step-by-step explanation:
1/3(9x+3)=3x+1
Distribute
3x+1 = 3x+1
Subtract 3x from each side
1=1
Since this is always true, x can be any value
translating verbal expressions: 3 less than the square of a number p
Answer: p²-3
Step-by-step explanation:
3 less than the square of a number p=p²-3
When coming across [a less than b], this means b-a.
If you are pretty confused with this variable expression, I will provide to you with some numerical examples.
3 less than the square of 4=4²-33 less than the square of 10=10²-3This pattern will also apply for p
A triangle has sides with lengths of 5x-7,
3x-4, anol 2x-6. What is the perimeter of
the triangle
A 10x-17
B 6x-17
C 4x-9
D -7x
Answer:
A. 10x -17
Step-by-step explanation:
5x-7, 3x-4, and 2x-6.
combine like terms
5x-7 + 3x-4 + 2x-6
5x + 3x + 2x - 7 -4 - 6
10x -17
therefore the answer is A. 10x -17
How many calories are there in 48 ounces?
Answer:585.......
Step-by-step exampel:
Answer:
10500 calories
Step-by-step explanation:
[tex]1\: ounce = 218.75 \: calories\\[/tex]
#1) Select the lie from the dropdown below.
A)
All real numbers are
whole numbers.
B)
All whole numbers are
real numbers
C)All integers are rational
numbers.
Int.
Answer:
A
Step-by-step explanation:
Think of this always
Whole Numbers > integers > rational numbers > Real numbers
Not all real numbers are whole numbers. It could be and integer like 1.5 which is a real number but not a whole number. So A is lying.
Answer:
The Answer is A.
Step-by-step explanation:
All numbers are real numbers but not all real numbers are a whole. I can't give any further explanation but this is what we were taught when I was younger so it should be correct.
The midpoint between two points is( 1 , 5 ). One of those points is ( 9 , 3 ), find the other. DUE in 2 HOURS, will give Brainliest! A. (4, - 1) B. (-4, 1) C. (5, 4) D. (-7, 7)
Answer: (-7, 7)
Step-by-step explanation:
Answer:
[tex]\mathrm{Solution\:} = (- 7,7) = \mathrm{Last\:}\mathrm{Option\:}[/tex]
Step-by-step explanation:
In my point of view the easiest approach to solving this problem would be by determining the distance between the given points (the midpoint and the other given point) --- (1) and then going through all the answer choices and matching their distance to the midpoint --- (2). This may seem like a hard approach, but you can eliminate many of the answer choices.
The answer is the last choice, so let's prove it.
[tex]\mathrm{Distance\:between\:}\left(1,\:5\right)\mathrm{\:and\:}\left(9,\:3\right) = \sqrt{\left(9-1\right)^2+\left(3-5\right)^2} = 2\sqrt{17}[/tex]
[tex]\mathrm{Distance\:between\:}\left(1,\:5\right)\mathrm{\:and\:}\left(-7,\:7\right)=\sqrt{\left(-7-1\right)^2+\left(7-5\right)^2}=2\sqrt{17}[/tex]
[tex]2\sqrt{17} = 2\sqrt{17}[/tex]
As the distance between points (1,5) and (9,3) respectively (1,5) and (- 7,7) is the same, we proved that our answer is the last choice.
write the prime factorization of 363 using exponents. the prime factorization is
um you need to be more specific on the question bud
Answer: The prime factorization is 3*11*11.
which of the following units is incommensurable with kilograms? A.pounds B.ounces C.tons D.gallons
Answer: D.gallons
Step-by-step explanation:
Kilogram is a unit of mass
Now, Pounds, Tons and Ounces are also units of mass.
But Gallons is a unit of volume, where 1 gal = 3.785 L
Then you never can represent an amount of mass using units for volume, which means that gallons is incommensurabe with kilograms.
the correct option is D
Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)
Answer:
[tex]LS = 63[/tex]
Step-by-step explanation:
Given
[tex]LS = 14x - 21[/tex]
[tex]LH = 15[/tex]
[tex]HS = 8x[/tex]
Required
Determine the length of LS
Since H is between L and S, then
[tex]LS = LH + HS[/tex]
Substitute 14x - 21 for LS, 15 for LH and 8x for HS
[tex]14x - 21 = 15 + 8x[/tex]
Collect Like Terms
[tex]14x - 8x = 21 + 15[/tex]
[tex]6x = 36[/tex]
Divide both sides by 6
[tex]x = 6[/tex]
Substitute 6 for x in [tex]LS = 14x - 21[/tex]
[tex]LS = 14(6) - 21[/tex]
[tex]LS = 84 - 21[/tex]
[tex]LS = 63[/tex]
Hence, the length of LS is 63 units
The step function f(x) is graphed.
What is the value of f(0)?
-2
-1
0
1
Answer:
The value of f(0) is Option (A) : - 2
PLEASEEE HELP MEEE!! I DONT UNDERSTAND AT ALL!!
Domain: (-∞,∞)
Range: (3,∞)
x-intercepts: none
y-intercepts: (0,7)
Interval positive: (3,∞)
Interval negative: none
Interval increasing: (7,∞)
Interval decreasing: (-∞,7)
I'm not sure what the average rate of change over is though.
What is 8c + 10b ÷ 7a if c = 7, b = 12, and a = 5 Please give a full and good explanation for a brainliest...
Answer:
141 5/7
Step-by-step explanation:
8c + 10b ÷ 7a
Let c = 7, b = 12, and a = 5
8*7 + 10*12 ÷ 7*5
Multiply and divide from left to right
56+120 ÷7*5
56+ 600/7
Get a common denominator
392/7 + 600/7
992/7
Change from an improper fraction to a mixed number
141 5/7
Answer:
416 3
= -------- or 59 ----
7 7
Step-by-step explanation:
8c + 10b ÷ 7a
if c = 7, b = 12, and a = 5
plug in values:
= 8(7) + 10(12) ÷ 7(5)
= 56 + 120 / 35
= 56 + 24/7 ---- convert into factions
56 * 7 24
= -------- + ------
7 7
sine the denominator are equal, combine the fraction
56 * 7 + 24
= -----------------
7
416 3
= -------- or 59 ----
7 7
What is f(x) type in the number
X=3
F(x) =-2x+4
F(x)=
Answer:
10
Step-by-step explanation:
10. ................ ..........
the larger of two numbers is 4 more than the smaller the sum of the two numbers is 74
Answer:
y = 35 x = 39
Step-by-step explanation:
Let large no = x and small no = y
According to the question,
x = 4 + y ------ (1)
x + y = 74 -------- (2)
Substituting (1) in (2)
( 4 + y ) + y = 74
4 + 2y= 74
2y = 74 -4
y = 70 / 2 = 35
x = 4 + y
= 4 + ( 35 )
= 39
--3(p+1) <-18 solving inequalities with graphs i need help
Answer:
p<5
Step-by-step explanation:
-3(p+1)<-18
-3p-3<-18
+3 +3
-3p<-15
-3p/3<-15/-3
p<5
add 5 to me then divide by 7 add twelve then subtract 7 you get 10 what am i
Solve the following three equations.
Equation #1 60 = 6(6 – 2n)
Equation #2 5x + 7 + 3x = -8 + 3x
Equation #3 3(1 + 4v) – 2(5v- 3) = 25
Answer:
#1 N=2
#2 X= -3
#3 V=1, 1 1/2
Evaluate the expression. 34 -8 - 14 + 2 + 5
Answer:
About 20
{19 exactly}
Step-by-step explanation:
Evaluate means find approximate value without exact calculation (usually done with great numbers or with fractions)
-8 is approximately -(2+5) so the sum is about 0
34-14 = 30-10 = 20
20 + 0 = 0
The exact calculation would be:
34 -8 - 14 + 2 + 5 = 34 - 14 - 8 + 7 = 20 - 1 = 19
what is this: 9/5 - 1/3
Answer:
22/15 in fraction 1 7/15
Step-by-step explanation:
Answer:
___________
Exact Form:
22 / 15
Decimal Form:
1.46 continuous
Mixed Number Form:
1 7/15
To write 9/5 as a fraction with a common denominator, multiply by 3/3
9/5 x 3/3 - 1/3
To write −1/3 as a fraction with a common denominator, multiply by 5/5.
9/5 x 3/3−1/3 x 5/5
Write each expression with a common denominator of 15, by multiplying each by a factor of 1
Multiply 9/5 and 3/3
9 x 3/5 x 3 - 1/3 x 5/5
Multiply 5 by 3
9 x 3/15 − 1/3 x 5/5
Multiply 1/3 and 5/5
9 x 3/15 − 5/3 x 5
Multiply 3 by 5
9 x 3/15 − 5/15
Then combine the numerator over the common denominator
9 x 3 - 5 / 15
then simplify the numerator
mutiply 9 by 3
27 - 5/15
subtract 5 from 27
22/15
I am struggling with this problem
Answer:
b
Step-by-step explanation:
Brent knows that the six digit number he uses to open his computer is the prime factorization of 5005 if each digit of the code increases from left to right
Answer:
The code is 571113
Step-by-step explanation:
The problem requires that we find the prime factors of 5005
1. 5005 is a multiple of 5 since it ends with a number 5
5 is one of the numbers
Dividing 5005/5 = 1001
the next prime number after 5 is 7
so 1001/7= 143
7 is one of the numbers
the next prime number after 7 is 11
so 143/11= 13
13 is one of the numbers
In all the prime factorization of 5005 is found as follows
5,7 11,13
Combining these numbers gives the 6 digit code
571113
It's a word problem junkie. Is a bus driver who earns 1600 dollars per month login is a is a manager who earns 6800 dollars per month. In 2012 Jun bro donated a total of 1200 dollars to charity while login donated4500dollars to charity who donated the higher percentage of money
Answer: bus driver
Step-by-step explanation:
Given: Earning of bus driver = 1600 dollars per month
Earning of manager = 6800 dollars per month
Amount donated by bus driver = 1200 dollars
Amount donated by manager = 4500 dollars
Percentage of amount donated by bus driver = [tex]\dfrac{1200}{1600}\times100 \%=\dfrac{3}{4}\times100\%=75\%[/tex]
Percentage of amount donated by manager = [tex]\dfrac{4500}{6800}\times100 \%\approx66.18\%[/tex]
Clearly, 75> 66.18
So, bus driver donated higher percentage of money.
Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies. Write and evaluate the expression to determine how much money she has.
Answer:
3.02
Step-by-step explanation:
quarters are .25
dimes are .10
nickels are .05
pennies are .01
9 * .25 + 4 * .10 + 7 *.05 + 2 *.01
2.25+0.4+0.35+0.02
3.02
Calculate the output for f(x) = 3x-1 when the input is x=14
Answer:
41
Step-by-step explanation:
3(14)-1
42-1
41
Answer:
41
Step-by-step explanation:
Just plug 14 in and don't worry about f(x).
f(x)= 3(14)-1
Translate this phrase into an algebraic expression.
40 less than twice Jenny's height
Use the variable j to represent Jenny's height.
Answer:
j(2) - 40
Step-by-step explanation:
Simplify the square root of negative 18
Answer:
[tex]3i\sqrt{2}[/tex]
Step-by-step explanation:
If we have the expression [tex]\sqrt{-18}[/tex], we can divide -18 by 2.
[tex]\sqrt{2\cdot-9}[/tex]
The square root of 9 is 3, and since we’re finding the square root of a negative number, we append the “i” to the term: so 3i.
This goes outside the root, making the expression [tex]3i\sqrt{2}[/tex].
Hope this helped!
Jessica finished a race that was 5 miles long in 30 minutes and 15 seconds. Casey finished a race that was 2 miles log in 11 minutes and 8 seconds. Who has the faster rate? Explain your reasoning.
Answer:
Casy
Step by step explanation:
You divide the miles by their time
It took Jessica 6 minutes and .03 seconds to finish a mile
It took Casy 5 minutes and 54 seconds to finish a mile
Casy is .09 Seconds quicker than Jessica
4m-3/4=-9+4m/8 this is my question that i need help with
Answer:
The answer is -2 5/14 if you're trying to solve for m
Step-by-step explanation:
first you get rid of the fractions by mutiplying both sides by 4.
4(4m-3/4)=(-9+4m/8)4
16m-3=-36+2m then you put the varible terms on one side and the numbers on one side
14m=-33
then divide -33 by 14
which will give you the fraction -2 5/14 unless you want decimal form which would be around -2.36
Answer:
[tex]m=-\frac{33}{14}[/tex]
Step-by-step explanation:
[tex]4m-\frac{3}{4}=-9+\frac{4m}{8}[/tex]
[tex](4m-\frac{3}{4})8=(-9+\frac{4m}{8})8[/tex] multiply by 8 to get rid of the largest denominator
[tex]32m-\frac{24}{4}=-72+4m[/tex]
[tex]32m-6=-72+4m[/tex]
[tex]32m-4m=-72+6[/tex] Rearrange the equation and Collect like-terms
[tex]28m=-66[/tex]
[tex]m=-\frac{66}{28}[/tex] simplify
[tex]m=-\frac{33}{14}[/tex]
Evaluate 3l-3l
Help please
Answer:
9
Step-by-step explanation:
the absolute value makes everything positive
3 * 3 = 9
what is the probability of rolling a three on a fair die
Answer: 1:6 or 1/6
Step-by-step explanation: there are 6 possible numbers you could roll on a fair die, so rolling a three would be 1:6
Answer:
3/36 (8.333%)
Step-by-step explanation:
Hope this helps!
Jade and Ali set the alarms on their phones to sound at 7.15 am.
Both alarms sound together at 7.15am.
Jade's alarm then sounds every 40 minutes.
Ali's alarm then sounds every 60 minutes.
At what time will both alarms next sound together?
Answer:
9:15 am
Step-by-step explanation:
Alarms sound at 7:15 am
Alarm frequencies are 40 min and 60 min
Since 40= 20*2 and 60= 20*3, the overlapping frequency is:
20*2*3= 120 min = 2 hoursSo next time both alarms sound at 7:15 am + 2 hours = 9:15 am
Answer:
Trust me its 9:15 am
Step-by-step explanation: