Answers
-1/2d + 3/8 - d = 1/4 + 3/4d +2
First combine like terms on both sides:
-1 1/2d + 3/8 = 2 1/4 + 3/4d
Add 1 1/2d to both sides:
3/8 = 2 1/4 + 2 1/4d
Subtract 2 1/4 from both sides:
-1 7/8 = 2 1/4d
Divide both sides by 2 1/4:
d = -5/6
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \tt- \frac{ 1 }{ 2 } d+ \frac{ 3 }{ 8 } -d = \frac{ 1 }{ 4 } + \frac{ 3 }{ 4 } d+2 \\ [/tex][tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \tt- \frac{ 1 }{ 2 } d+ \frac{ 3 }{ 8 } -d = \frac{ 1 }{ 4 } + \frac{ 3 }{ 4 } d+2 \\ [/tex]
Combine [tex]\tt-\frac{1}{2}d[/tex] and -d to get [tex]\tt-\frac{3}{2}d[/tex].
[tex] \tt-\frac{3}{2}d+\frac{3}{8}=\frac{1}{4}+\frac{3}{4}d+2 \\ [/tex]
Because 1/4 and 8/4 have the same denominator, add them by adding their numerators.
[tex] \tt-\frac{3}{2}d+\frac{3}{8}=\frac{1+8}{4}+\frac{3}{4}d \\ [/tex]
Subtract [tex]\tt\frac{3}{4}d[/tex] from both sides.
[tex] \tt-\frac{3}{2}d+\frac{3}{8}-\frac{3}{4}d=\frac{9}{4} \\ [/tex]
Combine [tex]\tt-\frac{3}{2}d[/tex] and [tex]\tt-\frac{3}{4}d[/tex] to get [tex]\tt-\frac{9}{4}d[/tex].
[tex] \tt-\frac{9}{4}d+\frac{3}{8}=\frac{9}{4} \\ [/tex]
Subtract 3/8 from both sides.
[tex] \tt-\frac{9}{4}d=\frac{9}{4}-\frac{3}{8} \\ [/tex]
The least common multiple of 4 and 8 is 8. Convert 9/4 and 3/8 to fractions with denominator 8.
[tex] \tt-\frac{9}{4}d=\frac{18}{8}-\frac{3}{8} \\ [/tex]
Because 18/8 and 3/8 have the same denominator, subtract them by subtracting their numerators.
[tex] \tt-\frac{9}{4}d=\frac{18-3}{8} \\ [/tex]
Subtract 3 from 18 to get 15.
[tex] \tt-\frac{9}{4}d=\frac{15}{8} \\ [/tex]
Multiply both sides by - 4/9, the reciprocal of -9/4.
[tex] \tt \: d=\frac{15}{8}\left(-\frac{4}{9}\right) \\ [/tex]
Multiply 15/8 by -4/9 by multiplying the numerator by the numerator and the denominator by the denominator.
[tex] \tt \: d=\frac{15\left(-4\right)}{8\times 9} \\ [/tex]
Carry out the multiplications in the fraction ⇨ [tex]\tt\frac{15\left(-4\right)}{8\times 9}[/tex].
[tex] \tt \: d=\frac{-60}{72} \\ [/tex]
Reduce the fraction -60/72 to its lowest terms by extracting and cancelling out 12.
[tex] \boxed{ \boxed{ \bf \: d=-\frac{5}{6}\approx -0.833..}}[/tex]
Related Questions
42 = -48 + 3r
This is some random stuff the teacher didn’t teach us about
Answers
Answer:
[tex]42 = - 48 + 3r[/tex]
add 48 to either sides:
[tex]42 + 48 = ( - 48 + 3r) + 48 \\ 90 = 3r \\3r = 90[/tex]
divide all sides by 3:
[tex] \frac{3r}{3} = \frac{90}{3} \\ \\ { \boxed{ \boxed{r = 30}}}[/tex]
Answer:
r = 30
Step-by-step explanation:
42 = -48 + 3r
First, we will add 48 to both sides so that r can be isolated42 + 48 = -48 + 48 + 3r
Then, we will add90 = 3r
Then to isolate r, we have to get rid of the 3To get rid of the 3, we will divide by 3 on both sides[tex]\frac{90}{3} =\frac{3r}{3}[/tex]
Then, divide30 = r
2×1+1× 1/10 +5× 1/100 +5× 1/1000 =
Answers
Answer:
2.15500
Step-by-step explanation:
hope it's help
#MASTER GROUP
# FIRST MASTER
# PHILIPPINES
Help please give me the write answer and the points are yours
Answers
Answer:
-(5/14)
Step-by-step explanation:
Make the denominators the same.
-9/14 (Stays)
2/7(Times by 2 to make denominator 14)
-9/14 + 4/14 = -5/14
Final asnwer is -(5/14)
Answer:
-5/14
Step-by-step explanation:
first make them the same denominator
we can multiply the 2/7 by 2/2 to get 4/14 so it becomes really easy to add :)
-9/14 + 4/14 = -5/14!
it's already in simplest form so there's nothing else you have to do :D
Solve for the value of x
Answers
Answer:
3x+3+2x-8 = 180
5x-5 =180
x= 37
Step-by-step explanation:
mark me as brainliest ❤️
Step-by-step explanation:
[tex]\sf \ angles \ \ (3x+3) \ and \ \ (2x-8) \ adjacent \\\\ As \ \ we \ \ know \ \ the \ \ sum \ of \ adjacent \ \ angles \ is \ 180^{\circ} \\\\ then : \\\\ 3x+3+2x-8 =180 \\\\ 5x-5=180 \\\\ 5x=185 \\\\ \boldsymbol {\sf x=37 ^{\circ }}[/tex]
-
For the line described by y =
-2x + 8, the y-intercept is
and the slope is
Answers
Answer:
y-intercept is 8 and slope is -2
Step-by-step explanation:
General equation of a line:
[tex]y = mx + b[/tex]
m » slope
b » y-intercept
Our equation given:
[tex]{ \boxed{y = - 2x + 8}}[/tex]
by comparison with general equation
m » -2
b » 8
I WILL MARK AS BRAINLIST please help
Answers
Answer:
A(-5,9)
Step-by-step explanation:
M(-1,2)
B(3,-5)
Slope = (y2-y1)/(x2-x1)
(-5-2)/(3-(-1))
-7/4
m to B is down 7, right 4
m to A = up 7, left 4
if 4x=0 then x is what number
Answers
Answer:
X=0
Step-by-step explanation:
4x=0
divide both sides by 4
x=0/4
x=0
if the product equals 0 then 4 must be multiplied by 0 to get 0
Put -0.35, 4 -0.65, and 5' in order from least to greatest.
Answers
Answer:
-0.65, -0.35, 4, 5
Step-by-step explanation:
The bigger the number is in negatives the farther the way it is away from 0, therefore making -0.65 the least number.
Please help! What is |x-3|=9
Answers
Answer:
x = 12 or x = -6
Step-by-step explanation:
Solve for x over the integers:
abs(x - 3) = 9
Split the equation into two possible cases:
x - 3 = 9 or x - 3 = -9
Add 3 to both sides:
x = 12 or x - 3 = -9
Add 3 to both sides:
Answer: x = 12 or x = -6
It took Jack 0.95 of an
hour to get ready for
school. What is this
decimal as a fraction, in
lowest terms?
Answers
Answer:
19/20
Step-by-step explanation:
Chow,...!
pleaseeee helpppppppp
Answers
Answer:
B. 39.75
Step-by-step explanation:
if u multiply 7.5 by 5.3 on a calculator u get 39.75.
HOPE IT HELPS!!!!
Factor the expression.
24 + 7x − 5x2
Answers
Answer:
-(5x+8)(x - 3)
Step-by-step explanation:
add and subtract second term to expression and factor using grouping
nrdbi wiuebncqece9bfcevho 3ruvhbybfw fyfwob
Answers
Math Skills
Integer Practice 1
Find each sum.
1) (-6)+6
Answers
Answer:
-6+6=0
Step-by-step explanation:
mark me as brainlist
Which of the following is 'not' a geometric sequence?
a. 1, 4, 16, 64, ...
b. 4, 2, 1, (1/2), ...
c. 3, 6, 12, 24, ...
d. 6, 4 (1/2), 3, 1 (1/2), ...
Answers
Answer:
d. 6, 4 (1/2), 3, 1 (1/2), ...
Step-by-step explanation:
A geometric sequence is any sequence that is exponentially growing/decaying, so analyze the slopes. The slope for D is a constant -1.5, so it is a linear (not geometric) sequence.
what is the midpoint for (-4,-4) (4,-1)
Answers
Answer:
-4+4/2,-4-1/2
0/2,-5/2
0,-5/2
If a pentagon is rotated 100 degrees will it coincide with itself?
Answers
Answer: No, it will not coincide with itself.
This is because the angle of rotation is 360/n = 360/5 = 72 degrees instead of 100 degrees. This applies to regular pentagons where the sides are the same length and the angles are the same measure.
what is the formula for y=-2 in graph
Answers
Here slope m is 0
Y intercept is -2[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto y=0x+(-2)[/tex]
[tex]\\ \sf\longmapsto y=-2[/tex]
three times the sum of a number and six
3(x=6)
3(x-6)
3(x+6)
3x+6
Answers
Answer:
3(x+6)
Step-by-step explanation:
Parenthesis after a number typically means multiply, so 3 times the sum of an unspecified number (x), plus 6 would be 3 (x+6)
please help (Geometry)
(click to see the whole thing)
Answers
Answer:
Step-by-step explanation:
If we know that D is the midpoint, then 2x + 7 = 4(x-3). Doing the algebra on that gives us
2x + 7 = 4x - 12 and
19 = 2x so
x = 9.5
8 39/40 written as a decimal
Answers
answer : 8.975
8 39/40 = 8.975
How do I do this hgghrtgggggggggggggg
Answers
hggghghghhghghghghhghghghghhghhgStep-by-step explanation:
Answer:
3 units
Step-by-step explanation:
Since the y- coordinates are both 6 , then this is a horizontal line and the distance between the 2 points is the difference in the x- coordinates , that is
distance = | - 2 - 1 | = | - 3 | = 3
or
distance = | 1 - (- 2) | = | 1 + 2 | = | 3 | = 3
if 3x+ 5y +4z =0 , prove that 27x³ +125y³ +64z³=180xyz
Answers
Answer:
Use the following identity:
a³ + b³ + c³ = 3abc if a + b + c = 0Substitute:
a = 3x, b = 5y, c = 4zand get:
(3x)³ + (5y)³ + (4z)³ = 3(3x)(5y)(4z)27x³ + 125y³ + 64z³ = 180xyzWe know
If a+b+c=0
[tex]\boxed{\sf a^3+b^3+c^3=3abc}[/tex]
[tex]\\ \sf\longmapsto 3x^3+5y^3+4z^3=3(3x)(5y)(4z)[/tex]
Simplify[tex]\\ \sf\longmapsto 27x^3+125y^3+64z^3=180xyz[/tex]
Hence proved
Simplify the expression:
1+4(2x-3)
Answers
Answer:
8x - 11
Step-by-step explanation:
?
just do the multiplications and add things up.
1 + 4(2x - 3) = 1 + 8x -12 = 8x - 11
1+8x-12
8x-11
the kids had 55 balls the adults has 2300 balls what is the prouduct of all the balls in all
Answers
HELP W THIS PLEASE !!!
Answers
Answer:
D
Step-by-step explanation:
the repeatition is the same between the relationship
hope this helps
Answer:
The answer is a.
Step-by-step explanation:
All linear equations have a straight line on the graph.
Find the value of x and YZ if Y is between X and Z. You may need to draw a picture. XY = 2x + 1, YZ = 6x, and XZ = 81 X YZ =
Answers
Answer:
x= 10
YZ=60
Step-by-step explanation:
X____Y____Z
XZ= XY+YZ
81 = (2x+1) + 6x
81 = 8x +1
8x = 81 -1
8x =80
x = 80/8
x = 10
YZ = 6x = 6(10) = 60
I hope I helped you^_^
Perimeter of Triangle Please. Thank you ASAP
Answers
Step-by-step explanation:
The perimeter of a parallelogram is twice the sum of the length of a longer and a shorter side.
The length can be evaluated by the distance formula between two points (x_1,y_1), (x_2, y_2)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For the longer side,
[tex]d=\sqrt{(7-(-4))^2+(3-2)^2}=\sqrt{122}[/tex]
or the shorter side,
[tex]d=\sqrt{(7-6)^2+(3-(-2))^2}=\sqrt{26}[/tex]
Therefore, the perimeter is given by,
[tex]2(\sqrt{122}+\sqrt{26})\approx254.2[/tex]
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
6^11
Step-by-step explanation:
you have 6 and 6 so it stays 6 and then you add the exponents on this problem which gives u 11
Answer:
6^11
Step-by-step explanation:
In this case the base remains the same but you add exponents. Try it on your calculator
6^5 x 6^6 = 362797056
6^11 = same as above
Help, please.. Kinda need help like ASAP
Answers
Answer:
Down 8 floors : - 8
Up 5 floors : 5
Step-by-step explanation:
Down is negatives, up is positive
Answer:
- 8
+ 5
Step-by-step explanation:
hope that helps
have a good day
