Answer: -27/70
Step-by-step explanation:
x ÷ 12 − 3x − 1 ÷ 8 = 1
Simplify x ÷ 12 − 3x − 1 ÷ 8.
Rewrite the division as a fraction.
x /12 − 3x − 1 ÷ 8 = 1
Rewrite the division as a fraction.
x/12− 3x − 1/8 = 1
To write −3x as a fraction with a common denominator, multiply by 12/ 12
x/12− 3x ⋅ 12/12 − 1/8 = 1
Simplify terms.
Combine −3x and 12/12
x /12−3x ⋅ 12/12 − 1/8 = 1
Combine the numerators over the common denominator.
(x − 3x ⋅ 12/12) − (1/8) = 1
Simplify the numerator.
(x ⋅ −35/12) -(1/1) = 1
Move −35 to the left of x.
−(35 ⋅ x/12) -(1 /8) = 1
Move the negative in front of the fraction.
-(35x/12) −(1/8) = 1
Move all terms not containing x to the right side of the equation.
Add 1/8 to both sides of the equation.
-(35x/12) = 1 + (1/8)
Write 1 as a fraction with a common denominator.
-( 35x /12) = 8/8 + 1 /8
Combine the numerators over the common denominator.
-( 35x /12) = 8+1/8
Add 8 and 1.
-( 35x /12) = 9/8
Multiply both sides of the equation by − 12/35
-( 12 /35) ⋅ (− 35x /12 ) = − 12/35 ⋅ 9/8
Simplify both sides of the equation.
Simplify -( 12 /35) ⋅ (− 35x /12 )
Cancel the common factor of 12.
−1/35⋅ (−35x) = − 12/35 ⋅ 9/8
Cancel the common factor of 35.
−1 ⋅ (−x) = − 12/35 ⋅ 9/8
Multiply −1 by −1.
1 ⋅ x = − 12/35 ⋅ 9/8
Multiply x by 1.
x = − 12/35 ⋅ 9/8
Simplify − 12 /35 ⋅ 9/8
Cancel the common factor of 4.
x = −3/35 ⋅ 9 /2
Multiply −3/35 and 9/2 .
x= (−3 ⋅ 9)/( 35 ⋅ 2 )
Simplify the expression.
Multiply −3 by 9.
x = -27/(35 ⋅ 2)
Multiply 35 by 2.
x= -27/70
The result can be shown in multiple forms.
Exact Form: x= -27/70
Decimal Form: x = −0.3857142...
On a test, you correctly answer six 5-point questions and eight 2-point questions. You earn 92% of the possible points on the test. How many points pis
the test worth?
The test is worth p-points,
30
Answer:
The test is worth 46 points.
2.) Which is equivalent to 3 (а- 9)?
За - 9
OOption 2
оза + 9
оза - 27
Answer:
3a-27
Step-by-step explanation:
Distribute the 3
3 x a is 3a
3 x 9 is 27
help me plz i dum reeee
Answer:
The mean absolute deviation of the data set is 2.5
Step-by-step explanation:
We need to find mean absolute deviation of the data set:
10,8,10,6,6,2,10,4
First we will find mean of the given data set.
The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]
Sum of all data = 10+8+10+6+6+2+10+4 = 56
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]
Now, we will calculate the absolute difference between mean and each data value.
|10-7| = 3
|8-7| = 1
|10-7| = 3
|6-7| = |-1| = 1
|6-7| = |-1| = 1
|2-7| = |-5| = 5
|10-7| = 3
|4-7| = |-3| = 3
Now, we will find mean of 3,1,3,1,1,5,3,3
Sum of all data = 3+1+3+1+1+5+3+3 = 20
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]
So, the mean absolute deviation of the data set is 2.5
What is the Circumference of a circle with a radius of 15mm? There are no choices
Answer:
90
Step-by-step explanation:
A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?
A. 2 items
B. 4 items
C. 38 items
D. 40 items
Over 12 hours the water in Julie's pool drained a total of 534.72 liters. It drained the same number of liters each hour. What was the change in the number of liters of water in Julie's pool each hour and what is the unit rate
Given:
Over 12 hours the water in Julie's pool drained a total of 534.72 liters.
It drained the same number of liters each hour.
To find:
The change in the number of liters of water in Julie's pool each hour and what is the unit rate.
Solution:
We have,
Water drained in 12 hours = 534.72 liters
Water drained in 1 hour = [tex]\dfrac{534.72}{12}[/tex] liters
= [tex]44.56[/tex] liters
44.56 liters water drained in 1 hour.
So, the change in the number of liters of water in Julie's pool each hour is 44.56 liters.
The water is decreasing with respect to time, so the rate of change must be negative.
Rate of change = -44.56 liter per hour
Therefore, the rate of change is -44.56 liter per hour.
What is the inverse function of f(x) = -2?
Add or subtract. Write the simples form
2/3 + (5/3 - 3/4)
Write an equation in slope-intercept form for each of these representations.
1. A line with a y-intercept of 2 and a slope of -¼
2. A line that passes through (1, -3) and (3, -7)
Answer:
1. y= -1/4x +2
2. y= -2x -1
Step-by-step explanation:
A is the center of the circle, and the length of CD is 15 centimeters.
1. Select a segment that is a radius.
Answer:
All answers expect CD
Step-by-step explanation:
A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD are a radius because it half of diameter, AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C
CD is the diameter.
I would greatly appreciate some help with this problem.
Answer: I think C
Step-by-step explanation:
Combine like terms to simplify the expression below.
5y - 8x - y + 12y
Answer:
it will 16y-8x and common 8 is so 2y-x
Will the given side lengths form a right triangle?
1, 2, 5
Step-by-step explanation:
For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)
Since 1² + 2² =/= 5², (5 =/= 25)
it will not form a right triangle.
Another Explanation:
Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.
??? I have no idea what this unit is about
Answer: -16.1
Step-by-step explanation: Multiply.
(-7) * 2.3-16.1In 2–4, write Yes or No to indicate whether the expressions are equivalent. 2. 10x - 3 + 2x - 5 and 4(3x - 2) 3. 3y + 3 and 9(y + 1/3) 4. 6(3x + 1) and 9x + 6 + 9x
Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!
hi can someone please help me
Answer:
Volume = 1436.8 cm³
Step-by-step explanation:
Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
For a sphere which has the radius = 7 cm
Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]
= 1436.76
≈ 1436.8 cm³
Therefore, volume of the sphere is 1436.8 cm³.
Is 6x + 9 = 9x an expression or equation?
Answer:
Step-by-step explanation:
this is an equation because it has an equal sign,
expressions do not have an = sign
Answer: Equation
Step-by-step explanation: This is an example of an equation.
Equations are mathematical sentences that contains an equals sign.
Help !!!
See question in image.
Please show workings .
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) from first principles is
f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator
= lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero
f'(x) = 9x²
How can polynomial functions be written when given the zeros?
Answer:
Write it in it’s factored form
Step-by-step explanation:
For more info you can look it up.
anyone good at solving rational zeros
Answer:
I am what's your question?
Step-by-step explanation:
A person makes 300 dollars a month babysitting. If they
plan to save 30% of that, how much will they save each
month? PLEASE HELPPP WLL GIVE BRAINLEIST
Answer:
They will save $90 each month
Step-by-step explanation:
300*30%
or
300*.3
90
A company has offices in 3 different cities and a rotal of 480 workers there are 90 workers in newyork and 130 workers in denver the rest of the workers are in san diego
Answer:
Workers in San Diego = 260 workers
Step-by-step explanation:
Total workers = 480
Number of offices = 3
In each office in different cities
New york = 90 workers
Denver = 130 workers
San Diego = x workers
Find x
Total number of workers = workers in New York + workers in Denver + workers in San Diego
480 = 90 + 130 + x
480 = 220 + x
480 - 220 = x
260 = x
x = 260 workers
Workers in San Diego = 260 workers
Answer:
Step-by-step explanation:
250
Write an equation the line passes through (4, 1) and is parallel to y = - 2x + 7
Answer:
y = -2x + 9
Step-by-step explanation:
The equation of the new line is the same as that of this given line, EXCEPT that the constant will be different.
Start with y = mx + b; substitute 1 for y, 4 for x and -2 for m:
1 = -2(4) + b
Then b = 9, and y = -2x + 9
HELP MEEEEEE! ILL GIVE BRAINLYY
haha
Answer:
D
Plzzzzz give me Brainliest!!!!!
all decimals are:-
a) Rational number
b) irrational numbers
c) real numbers
d) integers
Answer:
I will win the war again like the last one .....
Help with this plz bc I need help
Answer:
49 students in total
Step-by-step explanation:
If you were to put it on loose-leaf then 3 times 21 is 7 so you do the same with 4. 4 times 7 is 28. 28 plus 21 is 49 there would be 49 students in total.
Jim walks a 1 3/4 -mile path two times a week. He also bikes 20 1/5 miles two times a week. What is Jim’s total mileage from walking and biking for one week?
Answer:
42.9 miles in one week
Step-by-step explanation:
Who this also ?? Help please :)
Answer:
Step-by-step explanation:
b
b
lol
hope this helps <3
Answer:
in y=mx + b, b is the y intercept. Sp answer choice d.
At store A, rulers are sold individually. The cost y of x rulers is represented by the equation y = 0.95x. The costs of rulers at store B are shown in the table. Number of Rulers (x) Cost (y) 5 $4.60 10 $9.20 15 $13.80 20 $18.40 Use the slope of each store to determine which store charges more per ruler. Explain.
Answer:
The ruler at store A cost more
Step-by-step explanation:
Ruler A=$0.95 per ruler
Ruler B=$0.92 per ruler
25−2(5+4x)
15+8x
35+8x
HURRY I HAVE TO DO THIS TEST BEFORE 3 AND ITS 50 QUESTIONS
15-8x
7x
Step-by-step explanation:
25 - 2(5 + 4x)
= 25 - 10 - 8x (Distributive Property)
= 15 - 8x.