Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Step 2: Solve for x
Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60Combine like terms: -4.5x + 72 = -7.5x + 42Add 7.5x on both sides: 3x + 72 = 42Subtract 72 on both sides: 3x = -30Divide 3 on both sides: x = -10Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)Add: 4.5(18) + 36 = 102 - 2.5(-6)Multiply: 81 + 36 = 102 + 15Add: 117 = 117Here we see that 117 does indeed equal to 117.
∴ x = -10 is a solution of the equation.
In the figure, m<2 = 44. What is the measure of <1?
Answer:
m∠1 = 112°
Step-by-step explanation:
To solve for m∠1, we need to find the supplementary angle and subtract from 180°. We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.
Therefore m∠2 + x + x = 180; combine x's
m∠2 + 2x = 180; substitute m∠2 = 44°
44 + 2x = 180; subtract 44 from both sides
2x = 136; divide by 2
x = 68°
Therefore using the supplementary angle
x + m∠1 = 180 (because it is supplementary)
68 + m∠1 = 180; subtract 68 from both sides
m∠1 = 112°
What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.
the answer is m = 0. i hope this helps-
Tim has 4 cheese sandwiches, 3 turkey sandwiches, and 2 tuna sandwiches to choose from. He picks two sandwiches at random, one at a
time, without replacing them. What is the probability that Tim picks a cheese sandwich first and a tuna sandwich second?
A) 1/9
B) 1/3
C) 2/3
D) 3/4
Answer:
C 2/3
Step-by-step explanation:
this is because there are three different types of sandwiches and he picks two out of the three.
An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.
Answer:
The capacity of the cistern is [tex]1.2231~m^3[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Step-by-step explanation:
Volume
The volume of a rectangular box of dimensions x,y,z is given by:
V = x.y.z
The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:
[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]
The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:
1.35 - 0.025 = 1.325 m
1.08 - 0.025 = 1.055 m
0.90 - 0.025 = 0.875 m
The internal volume is:
[tex]V_i=1.325*1.055*0.875[/tex]
[tex]V_i=1.2231~m^3[/tex]
The capacity of the cistern is 1.2231~m^3
The volume of iron used is the difference between the external and the internal volumes:
[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]
[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
A 150-foot fence encloses a garden.What is the length of each side of the garden.
Answer:
15 ft 45 ft 30 ft 60 ft
Step-by-step explanation:
What is -5.1 – 6.2=?
Answer:
It is -11.3
Step-by-step explanation: Hope this help :)
Answer:
11.3or 1.1
Step-by-step explanation:
please answer!! THIS IS ALL THE POINTS I HAVE LEFT SINCE NOBODY IS ANSWERING MY OTHER QUESTIONS :(
~~~~~~~~~~~~~
Answer:
The height of the parallelogram relates to the height of the circle because it is equal to the radius of the circle. The height goes from the circumference to the point of any section of the circle. I hope this helps.
Step-by-step explanation:
Answer: Well I will try to answer it
Step-by-step explanation:
A. I would say that the height of the base of the parallelogram its related to the circle since the base have the SAME shape of the circle. The height goes from the circumference to the point of any section of the circle and the radius well, it's the same.
B. I'm not so sure sorry
NEED ANSWER ASAP!!!!
y=−x^2−2x+3
When is g(x) = 0?
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
Since g(x)=0, you input 0 into every x
[tex]y=-(0)^{2} -2(0)+3[/tex]
Which then becomes:
[tex]y=0+3[/tex]
Take out the 0 and there's your answer
Please tell me the answer
Answer:
(-∞,∞) Bottom answerI hope this helps you with your algebra
Answer:
Infinity
Step-by-step explanation:
Give brainiest to the other guy/girl they deserve it!!
(Hope dis helps!!!)
7 + 5x = 2x + 25
step by step pls:(
Answer:
x = 6
Step-by-step explanation:
7 + 5x = 2x + 25
first subtract 7 from both sides to isolate 5x on the left
5x = 2x + 18
then subtract 2x from both sides to isolate all of the x terms to one side
3x = 18
then divide 18 by 3 to solve for x
x = 6
hope this helped!! :)
Answer:
i got you, i wrote it out and all gimme brilliantness
Step-by-step explanation:
Write 0.272727272727273 as a fraction in simplest form
Answer:
27/100?
Step-by-step explanation:
can someone please help me with math
-please and thanks.
Answer:
x(x+6)
which is 2
Step-by-step explanation:
Im new can u pls mark me brainliest
The volume of a cube can be written as a function of its edge length, V(x) = x^3. Which is a correct interpretation of V(2x)?
(A) The volume of a cube doubles when its edge length doubles.
B) The volume of a cube increases by a factor of 4 when its edge length doubles.
©
The volume of a cube increases by a factor of 6 when its edge length doubles.
D The volume of a cube increases by a factor of 8 when its edge length doubles.
Answer:
D The volume of a cube increases by a factor of 8 when its edge length doubles
Step-by-step explanation:
Volume of a cube is represented by the function
[tex]V(x)=x^3[/tex]
where [tex]x[/tex] represents the edge length of the cube
Now when [tex]x=2x[/tex] i.e., when the edge length is doubled we have
[tex]V(2x)=(2x)^3\\\Rightarrow V(2x)=8x^3\\\Rightarrow V(2x)=8(V(x))[/tex]
It can be seen that the volume of the cube increased by 8 times when edge length doubles.
Answer:
the answer is d
Step-by-step explanation:
IS THIS A GOOD SONG
Life Is Fun
The odd1sout
Ahhh! Such a beautiful day, uh (Yeah)
The sun's shining in a beautiful way, uh (Whoo)
Gonna take a shower, brush my teeth and
Life is ultimately meaningless
Uhh... Uhh...
But I'll get out of the house
Get on the road, top down, hands out
Put on my favorite song and nod to the rhythm
The planet's being destroyed by your carbon emissions
But I- I-, I'll head to class
Try my best on every test 'til I pass
And my grades are screaming in my face, hey
98 percent of what you learn is a waste
I get to hang out with all my friends (Yeah)
My friends are the friendliest friends
Can't think of a better way to spend my time
Your brain is flawed, and all your friends will die
Never mind!
I'm alive in the greatest nation!
So proud of the exploitation of natives
This graceful bird means freedom for all
Tell that to the slaves, and bald eagles aren't bald
I can live in the moment, milk every second
At any time you could get clinical depression
But I'll just be happy, no matter what's in store
It's quite genetic, and we have no cure
Uh, at least
We are young
Not for long
Life is fun
It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
We are young
For now
Life is fun
For some people
We gotta make the most of it! Make the most of it!
Good luck
Woo! I got a brand new job today! (Yeah)
Doin stuff that'll help the economy (Uh)
I'll save money and buy things at the store
Banks can crash and capitalism is flawed
And it's all because of my hard work
And the thousand advantages you lucked into at birth
I put a lotta effort in my resume!
Good thing you don't have a black person's name
I'm proud to be a functioning member of society
Finally, I can be the citizen I dream to be
Part of the community, contribute with my tax
What could possibly stop me?
The shrinking middle class
I've at least got a nice stable job
Until it's outsourced to China or replaced by a robot
OH GOD! Well, then I could relax a bit
You'll be empty with nothing to distract from it
But man, I'm a passionate graduate
I can be different, and I have a career paths to pick from
I could be a rapper or an animator if I'm lucky
Neither of those will make you happy, trust me
I'm able to choose what I pursue (Yeah)
You're a slave to people born richer than you
Then screw it, I'll keep going in
Then I'll party on the weekend and sing, no, oh, oh oh
Thanks to autotune
We are young
Not for long
Life is fun
It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
We are young
We still die
Life is fun
Until you die
We gotta make the most of it! Make the most of it
Because you'll die
Life is a wonder
You'll never know the answer
Nature is a miracle
Natural disasters
It's good to be alive
You could wake up with cancer
But I'm healthy
Healthy people still get cancer
I love this show
It's the last episode
The sun is shining
It's going to explode
Every species is beautiful and unique, though
Children have malaria thanks to mosquitoes
I met a cute girl with a ponytail
Statistically that relationship is going to fail
I have a wonderful family, it's like no other
You're not special, and one day you'll bury your mother
No matter what, I can find a home!
We, Will All, Die, Alone
There's amazing potential in every human on earth
There's no escaping the heat death of the universe
I don't have to live life based on negative parts
No matter how bad they are, they're just thoughts
Yeah, that's fair
Wait, really?
Yeah that seems reasonable
Wait, wait, wait, wait but you were just telling me to-
Whatever man, I dunno, live your life how you want
I'm not forcing you to do anything, I'm just saying
Oh...
Well in that case...
We are young!
Life is fun!
We gotta make the most of it! Make the most of it!
We are young!
Life is fun!
We gotta make the most of it! Make the most of it!
Enjoy it while it lasts
Answer:
i forgot about it but ye its cool
Step-by-step explanation:
ooh I love life is fun it one of a good songs
the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay
Answer:
Simon and Sophia payed $3.40 each.
Step-by-step explanation:
5.10/6= 0.85
0.85 dollars per pretzel.
0.85*8= 6.8
Simon and Sophia payed $6.80 together.
6.80/2= 3.4
Simon and Sophia payed $3.40 each.
Answer:
They each pay $3.40.
Step-by-step explanation:
I took 6 and divided $5.10 into 6 to get the cost per pretzel. Then, I multiplied the cost of one pretzel by 8, and divided by two to evenly split the cost between Simon and Sofia. Hope this helps!!
Please help me hahahhahahhahahhhhhhshshs can
Answer:
The slope of this line is -2/3x.
Step-by-step explanation:
The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.
And the equation then is
1 - 3 / 3 - 0. After simplifying this you get -2/3.
HELP ASAP WILL MARK BRAINLIEST UTS DUE IN 5!!!
Find the slope of the line.
O -2/5
O 2/5
O 5/2
O None of the above
Answer: 2/5
Step-by-step explanation:
If g (x) = 3x – 2, find g (8) – g(-5)
Answer:
I hope this helps you with your question
Solve this equation. Enter your answer in the box.
–24 + 12d = 2(d – 3) + 22
Answer: The answer should be 4. So it should be written as d = 4. You answer this equation by removing the parentheses, calculating, moving the terms, collect the like terms and calculate some more, then finally divide both sides. Hope this helps!
Find an equation for the line below.
8-
0
Check
Answer:
okay so the equation for the line could be writen in y=mx+b form
Step-by-step explanation:
y = [tex]\frac{9}{5}x + \frac{21}{5}[/tex]
Write the equation in slope-intercept form 2x−8y=24
Answer:
y=1/4x - 3
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
Please help!
What is 7% of 600
Answer:
42
Step-by-step explanation:
Hope this helps
-2/3 minus (-4/6)=
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] - \frac{2}{3} - ( - \frac{4}{6} ) = \\ [/tex]
[tex] - \frac{2}{3} + \frac{4}{6} = \\ [/tex]
[tex] - \frac{2}{3} + \frac{2 \times 2}{2 \times 3} = \\ [/tex]
[tex] - \frac{2}{3} + \frac{2}{3} = 0\\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
what is 20 percent of 140
Answer:
28
gotta divide
Step-by-step explanation:
Solve for y
6 = 4x + 9y
Answer:
y=.44-.66
Step-by-step explanation:
hope this helps not 100 percent sure let me know in the comments.
Charles Beaudry sells computer hardware for a computer firm. He is paid 4 percent commission on the first $8,000 of sales, 6 percent on the next $10,000 of sales, and 8 percent on sales over $18,000. What is his commission of $21,278 in sales?
As i don't want this to be to long
We break it down so
$8000 x 4% = $320
$10000 x 6% = $600
$8000 + $10000 = $18000
$24550-$18000 = $6550 x 8% = $524
Final answer
$320+$600+$524 = $1,444
Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20
Answer: C. 3(b-2)=24
Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24
What is 11712.60 rounded off to 2 significant figures??
Answer:
12000
Step-by-step explanation:
Convert 0.067 km to mm
Answer:
67000
Step-by-step explanation:
just multiply by 1000000
Which expression is equivalent to (4n³p)²(2n²p⁴)³?
a. 128n³⁶p²⁴
b.48n¹²p¹⁴
c.128n¹²p¹⁴
d.48n³⁶p²⁴
Answer:
C: 128n¹²p¹⁴
Step-by-step explanation:
I plugged this into my TI-89 calculator and got this answer. Let me know if you need the step by step explanation and I'll be more than happy to hand-solve it for you!