Solve the equation below for X
1/3(-x + 3) = -x - 4
Answer: x = -15/2 = -7.500
Work~~
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/3*(-x+3)-(-x-4)=0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
1
(— • (3 - x)) - (-x - 4) = 0
3
STEP
2
:
Equation at the end of step 2
(3 - x)
——————— - (-x - 4) = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
-x - 4 (-x - 4) • 3
-x - 4 = —————— = ————————————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(3-x) - ((-x-4) • 3) 2x + 15
———————————————————— = ———————
3 3
Equation at the end of step
4
:
2x + 15
——————— = 0
3
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2x+15
————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2x+15 = 0
Solving a Single Variable Equation:
5.2 Solve : 2x+15 = 0
Subtract 15 from both sides of the equation :
2x = -15
Divide both sides of the equation by 2:
x = -15/2 = -7.500
One solution was found :
x = -15/2 = -7.500
A rectangle length 34m x width 42m. what is the area of the rectangle
Answer: 1428m
Step-by-step explanation: The formula for a regular rectangle is l x w = A, or Length x Width = Area. So, if you replace L with 34 and W with 42, you will get your answer by multiplying the numbers
which comparison does the ratio 20:21 represent?
Is the table a function?
Answer:
short answer no
Step-by-step explanation:
there's repeated values for y
new i wiil make you brainleist One-fourth the difference between 2/3 and 1/2.
Write one number as a fraction of another and please explain.
how many inches represent 6 feet
Answer:
72 inches
Explanation: because if you divide 72 by 12 you would have 6 and that would be 6 feet
Which of the following situations describes a positive number?
A Diving underwater 4 meters.
B Going up the elevator 14 floors.
C Losing 3 points.
D) Paying $20 out of your checking account.
what is 243.275 in expanded form
Answer:
200,000 + 40,000 + 3.000 + 200 + 70 + 5
Step-by-step explanation:
Answer:
243.275 = (2 * 100) * (4 * 10) * (3 * 1) * (2 * 1/10) * (7 * 1/100) * (5 * 1/1,000)
Step-by-step explanation:
Hope this helps! :)
in the picture is my question :3 thank you so much for your help!
show if the following numbers are rational 1¾
Answer:
Rational!
Hope that helps!
Step-by-step explanation:
Mike cuts a pie into 4 equal pieces. What is the angle measure of each piece
Answer:
90°
hope this helps :)
Answer:
90 degrees because when you cut each of them they will each measure 90 degrees.
Lamar is 5 feet 10 inches tall
. How
mary inches tallis Lamar?
Answer:
about 70 inches
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
5(12)+10= 70 inches
if my answer helps please mark as brainliest.
write 0.000066 in word form
Answer:
Zero point Zerozerozerozerosixtysix
A sphere has a diameter of 11 inches. What is its surface area? Use 3.14 to approximate π. Round to the nearest hundredth if necessary.
Answer:
The surface area is [tex]379.94in^2[/tex]
Step-by-step explanation:
Given
Shape: Sphere
[tex]D= 11\ in[/tex] - -- Diameter
Required
Determine the surface area (A)
This is calculated using:
[tex]A = 4\pi r^2[/tex]
Where
[tex]r = \frac{1}{2}D[/tex]
[tex]r = \frac{1}{2}*11[/tex]
[tex]r = 5.5[/tex]
So, we have:
[tex]A = 4 * 3.14 * 5.5^2[/tex]
[tex]A = 4 * 3.14 * 30.25[/tex]
[tex]A = 379.94[/tex]
Hence, the surface area is [tex]379.94in^2[/tex]
Answer:
379.94
Step-by-step explanation:
how do you slove thia
Plz help plz help I need help
Answer:
1. X = 4
2. Y = 3
3. Y = 4 or Y = log>6 (1296)
4. X = 4
5. X = 3
6. X = 2
7. X = 2
8. X = 5
9. X = 3
sorry if I can get the letters right I couldn’t really see it well .
what do a and b stand for in this equation. 360°÷a=b?
Answer:
a: Represents the number of equal parts parts the circle is divided
b: Represents the measure of the central angle of each part.
(I hope this helps!!)
Answer:
a: Represents the number of equal parts parts the circle is divided
b: Represents the measure of the central angle of each part.
Step-by-step explanation:
Answer please.....
Thanks!!!!
Is 4 5/12 a rational number
Answer:
Nope! It's irrational.
it would be if it was 53/12 tho!
which fraction is equevleint to 12/21
Answer:
4/7
Step-by-step explanation:
They can be simplified by 3 12 divided by 3 is 4 and 21 divided by 3 is 7 so it's 4/7.
nancy lives on a corner lot. cutting across a lot that is 36 feet, and 8 ft longerthan the width.find the length and width if the lot
Answer:
The length of the lot is 13 feet, and the width is of 5 feet.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
[tex]P = 2(l + w)[/tex]
Lot of 36 feet:
Rectangular, so [tex]P = 36[/tex]
Length 8 feet longer than the width:
This means that [tex]l = 8 + w[/tex]
Finding the width:
[tex]P = 2(l + w)[/tex]
[tex]2(8 + w + w) = 36[/tex]
[tex]16 + 4w = 36[/tex]
[tex]4w = 20[/tex]
[tex]w = \frac{20}{4}[/tex]
[tex]w = 5[/tex]
Finding the length:
[tex]l = 8 + w = 8 + 5 = 13[/tex]
The length of the lot is 13 feet, and the width is of 5 feet.
Emma has already taken 6 pages of notes on her own, and she will take 4 pages during each hour of class. Write an equation that shows the relationship between the time in class (h) and the number of pages (p).
Answer:
6 + (p x h)
Step-by-step explanation:
well, Emma already has the 6 pages so we can push that to the side, but for every hour, she will write 4 more pages, so it would be p x h, but that’s most importnant so you put that in parentheses so you can add the 6 back later.
Paisley works on her drawings for 2 hours. She spends16 hour on each drawing. How many drawings does she work on in 2 hours?
Answer:
32
Step-by-step explanation:
You just need to multiply 16 times two.
Answer:
12 i believe.
Step-by-step explanation:
2/ 1/6 = 2 x 1/6= 1/12. using a tape diagram, you can start with two, add 6 in each 1/2 you will get 12.
Write an equation for the line in slope-intercept form.
Please help ASAP!!!
Answer:
y= 3x + 5
Step-by-step explanation:
y
the intecept cross x=3 and y=5
Which set of numbers are factors of 8? *
1, 4, 5
1, 2, 5
1, 2, 4
Answer: 1,2,4
Step-by-step explanation: hope it helps thx for the points :)
Answer:
should be 1,2,4!
Step-by-step explanation:
these numbers can be multiplied to get 8
wht do i put in the square box ?
Answer:
3.75
Step-by-step explanation:
Volume = length x width x height
= 2.5 x 1 x 1.5
= 3.75 cm^3
WE count number of blocks for all values seperately, like
for height its three blocks and one block is equal to 1/2
so.
1/2 x 3= 1.5
4x2 – 13x = 7x – 25
solve an equation with two real solutions practice
Answer:
x=2.5
Step-by-step explanation:
bring all terms to one side
[tex]4x^{2} -20x+25=0[/tex]
factor it
[tex](2x-5)^{2}=0[/tex]
2x-5=0
2x=5
x=2.5
Answer:
20/33
Step-by-step explanation:
4*2-13x=7x-25
8-13x=7x-25
(subtract 7 x's)
8-20x= -25
(subtract 8)
-20x= -33
Solve for x. −3/4(x+2)=6
Answer:
x= -10
Step-by-step explanation:
Answer:
x=-10
Step-by-step explanation:
A typical Yorkshire terrier weighs 1/6 times as many pounds as a Dalmatian. A Dalmatian weighs 54 pounds. How much does the typical Yorkshire terrier weigh?
Answer:
9 pounds
Step-by-step explanation:
1/6 is 16.67%
So 16.67% of 54 is 9
The Yorkshire terrier weighed 9 pounds.
In this figure, sin(a) = 2/3
What is the value of cos(b) ?
9514 1404 393
Answer:
C) 2/3
Step-by-step explanation:
In order to answer the question, we must make an assumption about the given figure. We must assume it is a rectangle, so the left side and right side of the figure are the same length.
The ratio of the right side of the figure to the diagonal is sin(a). The ratio of the left side of the figure to the diagonal is cos(b). If we assume that the left and right sides are the same length, then ...
sin(a) = 2/3 = side/diagonal = cos(b) = 2/3
_____
Additional comments
The figure does not have enough information to support our assumption. Of the answer choices, only (A) is a reasonable alternative. (The value of the cosine must be at most 1.)
The first attachment shows the figure with sin(a) = cos(b) = 2/3. The second attachment shows the figure with cos(b) = 1/3. There is nothing in the given drawing to say this is an incorrect interpretation. (Drawings cannot be assumed to be to scale.)