Answer:
x= 8/5
Step-by-step explanation:
Let's solve your equation step-by-step.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
Step 1: Simplify both sides of the equation.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1(x−3)(Distribute the Negative Sign)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1x+(−1)(−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−x+3
(
1
3
)(x)+(
1
3
)(3)+
1
6
=(
1
2
)(x)+(
1
2
)(−1)+−x+3(Distribute)
1
3
x+1+
1
6
=
1
2
x+
−1
2
+−x+3
(
1
3
x)+(1+
1
6
)=(
1
2
x+−x)+(
−1
2
+3)(Combine Like Terms)
1
3
x+
7
6
=
−1
2
x+
5
2
1
3
x+
7
6
=
−1
2
x+
5
2
Step 2: Add 1/2x to both sides.
1
3
x+
7
6
+
1
2
x=
−1
2
x+
5
2
+
1
2
x
5
6
x+
7
6
=
5
2
Step 3: Subtract 7/6 from both sides.
5
6
x+
7
6
−
7
6
=
5
2
−
7
6
5
6
x=
4
3
Step 4: Multiply both sides by 6/5.
(
6
5
)*(
5
6
x)=(
6
5
)*(
4
3
)
x=
8
5
what is x - (14x-4) + 12 = 6x + 32
Answer:
x= -16/19
Step-by-step explanation:
x−14x+4+12=6x+32
−13x+16=6x+32
16=6x+32+13x
16=19x+32
16−32=19x
−16=19x
-16/19=x
The growth of an apple tree was measured. The tree grew 15 inches per year.
On average, how many millimeters did the tree grow per day?
Answer:
1.04 mill
Step-by-step explanation:
15 inches to mill = 381
[tex]365\sqrt{381}[/tex] = 1.04 ( rounded )
Can someone help me with this. Will Mark brainliest.
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Use the distance formula:
[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
plug in (-5,6) for (x1,y1) and (-3,-1) for (x2,y2)
[tex]\sqrt{(-5-(-3))^2+(6-(-1))^2}[/tex]
[tex]\sqrt{4+49}[/tex]
[tex]\sqrt{53}[/tex]
Hope that helps :)
Kai's mom gave him $25 to spend at the book fair. Kai wants to buy as many books as he can. The
cost of each book is $3. He also wants to buy one poster for $2. Write an inequality to show how
many books he can buy. Highlight your inequality in green. Then,solve the inequality
Answer:
7 books
Step-by-step explanation:
i cant write it in an equaction but basically 25 - 2 = 23
then 3 x 7 = 21 so he can only buy 7 books and he'll have 2 dollars left
in 50 item test nestor got 95% correctly. how many correct answers did he get
Answer: 47.5 or just 47
Step-by-step explanation: Well, to start, set up a ratio.
x / 50 = 95 / 100
95 * 50 is 4750
4750 / 100 is 47.5.
Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.
Find the next two terms in
the sequence 11, 7, 3,-1,
Answer:
The next term will be -5.
Step-by-step explanation:
This is actually an AP with a = 11 and common difference d = -4.
Therefore next term will be -1 - 4 = -5
Answer:
Step-by-step explanation:
The numbers in this sequence come by subtracting 4 so
11, 7, 3, - 1, - 5, - 9, - 13
I need help with this we my class skipped this section
Answer:
v^ 3 = 1000
so v = cube root of 1000
v = 10
Simplify 4(3n + 2b + k)
a. 12nbk
b. 12n + 2bk
c. 12n + 8b + 4k
d. 24bkn
Answer:
C
Step-by-step explanation:
4(3n+2b+k)
12n+8b+4k
So it would be C.
---
hope it helps
1. Find the coordinates of the center and the measure of the radius for a circle whose equation is
(x - 8) + (y + 4) = 12
Answer:
the center of this circle is (8, -4) and the radius is 2√3.
Step-by-step explanation:
Compare this equation
(x - 8) + (y + 4) = 12 Don't forget to type in the " ^ " symbol to indicate exponentiation.
(x - 8)^2 + (y + 4)^2 = 12
to the standard equation of a circle with center at (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
In this way we learn that h = 8, k = -4 and r^2 = 12 (or r = 2√3).
Then the center of this circle is (8, -4) and the radius is 2√3.
6,6 and 7 units down and 5 units left where is t'
Answer:
it's 1,-1
Step-by-step explanation:
hoped I helped. I'm good at these.
Identify the measure of the angle indicated.
76
х
The value of 2 that makes lines a and b parallel is
Answer:
x = 76°
Step-by-step explanation:
76° and x are alternative interior angles, so they are congruent when lines a and b are parallel
On a standardized exam, the scores are normally distributed with a mean of 120 and
a standard deviation of 10. Find the z-score of a person who scored 115 on the exam
Answer: z= -0.5
Step-by-step explanation: mean m=120 and deviation s=10.
Z = (x-m)/s= (115-120)/10
Answer: z=−1.1
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{104-115}{10}
z=
10
104−115
Plug in values
z=\frac{-11}{10}
z=
10
−11
Subtract
z=-1.1
z=−1.1
Divide
If f(x) = x is changed to g(x) = -f(x + 3) + 2, how is the graph transformed?
Answer:
f(x) is flipped, and each point is moved 3 units to the left and 2 units up
Step-by-step explanation:
Based on the graph below, what is the domain and range of the function?
Answer:
The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.
Step-by-step explanation:
Answer:
Domain = all real numbers
Range = y ≥ -4
Step-by-step explanation:
Domain is the x-values, and for parabolas it is almost always all real numbers.
Range is the y-values, and the lowest it gets is -4.
IVE BEEN STUCK ON THIS FOR AN HOUR PLEASE HELP WHAT IS 9.85714285714 X 7
Answer:
69
Step-by-step explanation:
lol
A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The radius of the tank is 4 feet. Find the height of the tank in feet. Use 3.14 for π. PLEASE HURRY I NEED THIS
Answer:
8 ft
Step-by-step explanation:
Given:
Volume = 401.92
radius = 4 feet
Volume of cylinder: [tex]\pi[/tex]r^2h
3.14 * 4^2 * h = 401.92 cubic feet
3.14 * 16 * h = 401.92 cubic feet
50.24 * h = 401.92
h = 8 ft
Please Help!
Factor the following trinomial
[tex]9x^2-24x+16[/tex]
Please show work
=> 9x² - 24x + 16
Split the middle term(term with x) in such a manner so that the product of those parts is equal to the product of term with x² and constant. Here, those parts are 12 & 12 as 12*12 = 9*16.
=> 9x² - 24x + 16
=> 9x² - (12 + 12)x + 16
=> 9x² - 12x - 12x + 16
=> 3x(3x - 4) - 4(3x - 4)
=> (3x - 4)(3x - 4)
Method 2
=> 9x² - 24x + 16
=> (3x)² - 2(3x*4) + 4²
=> (3x - 4)²
=> (3x - 4)(3x - 4)
Method 3
In case if you can't find the factors of the middle term.
Say f(x) = 0, find the zeroes using quadratic formula. Zeroes of this eqⁿ are [-(-24) ± √24²-4(9)(16)] / 2(9) = 4/3 & 4/3
Therefore, f(x) = (x - 4/3)(x - 4/3) = (3x - 4)(3x - 4)/9
Ignore the numeric constant.
f(x) = (3x - 4)(3x - 4)
Which one would result an integer
Answer:
c is the only one that would result in an integer
Step-by-step explanation:
i hope this helps :)
Option c ∛ 27 would result in an integer.
what are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given here, ∛27= 3 while the other options ∛60 is not an integer because 60 is not cubic number similarly for 9 , 18 are not cubic numbers and thus their subsequent cubic roots will not yield an integer.
Hence, Option c ∛ 27 would result in an integer.
Learn more about integers here:
https://brainly.com/question/15276410
#SPJ2
A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?
Answer:
1/30 ton of rock left
Step-by-step explanation:
1/3+ 1/2= 5/6
5/6 - 4/5= 1/30 ton of rock left at the construction site.
Rewrite as an addition equation and determine the answer: -3 - - 8 =
Answer:
-3 + 8 = 5
Step-by-step explanation:
When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.
LMK if you have questions.
-3 + -8 = -11
is that a nice one or something
In the pic below help my cousin out UnU I don’t wanna help em ;-;
Answer:
The mode is 78, for it keeps repeating.
Round 4,368 to the nearest ten
Answer:
4,370
Step-by-step explanation:
.....just round the tenths place (6) up sense 8 is above 5 it rounds up so
4,370
sorry for bad explanation
Which point is not on the line
A 30-ft cable is stretched from the top of an antenna to an anchor point 12-ft from the base of the
antenna. How tall is the antenna? Round to the nearest tenth of a foot.
Evaluate x-2 for x=-3
Answer:
-5
Step-by-step explanation:
Rewrite x - 2 as -3 - 2, which comes out to -5.
A rectangle has a width of 8cm and a length given by the expression 2n +3. What is the correct expression to find the area of the rectangle?
Answer:
16n + 24
Step-by-step explanation:
Area of a rectangle= Length × width
= (2n+3) × 8
= 16n + 24
40
in.
in?
What is the area of this trapezoid?
b2 = 5 in.
h = 4 in.
2 in.
3 in.
b = 10 in.
A shipment of 5 boxes of toys weighed
34.53 pounds. Each box measures the same
weight, so what's the weight of 1 box?
Answer:
Each box weighs 6.906 pounds.
Step-by-step explanation:
We know the total weight of the boxes. We also know how many boxes we have. To find the weight of one box, we want to divide the total weight by the total number of boxes.
34.53 / 5
= 6.906
Each box weighs 6.906 pounds.
Hope this helps!
Show your work please
Answer:
B 2208cm squared
you follow this formula
A=2(wl+hl+hw)
w means width
l means length
h means height
input the numbers and you got your answer.
Hope this helped ;)
Answer:5760 cm2
Step-by-step explanation:length times width times height 12 times 12 is 144 and 144 times 40 is 5770 cm2
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet
Complete question :
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.
Answer:
17
Step-by-step explanation:
From Pythagoras :
Hypotenus = sqrt(opposite² + adjacent²)
From the diagram
l = sqrt((l-9)² + 15²)
l² = (l² - 18x + 81 + 225)
Square both sides
l² = l² - 18x + 306
l² - l² = 306 - 18x
18l = 306
l = 306/18
l = 17