6(y+7)=2(y-3)
this is a multi step equations, please help
Answer:
= - 1/2
Step-by-step explanation:
6y+6.7=2.(y-3)
6y+42=2.(y-3)
6y+42=2y+2.-3
6y+42=2y-6
4y=-48
4y/4 = -48/4
y=-48/4
y=-12.4/1.4
y= -12
Answer:
y = -12
Step-by-step explanation:
Generally, the first step is to eliminate parentheses.
6y +42 = 2y -6
Now, you have a 3-step equation. I generally start by subtracting the variable term with the lowest coefficient. That leaves a variable term with a positive coefficient.
4y +42 = -6 . . . . . . subtract 2y from both sides (step 1)
Now, you want to eliminate the constant from the side of the equation that has the variable term. Add its opposite.
4y = -48 . . . . . . . . . add -42 to both sides (step 2)
Finally, you divide by the coefficient of the variable.
y = -12 . . . . . . . . . . divide both sides by 4 (step 3)
The solution is y = -12.
_____
Additional comment
As you can see, the general approach is to obtain the variable on one side of the equation and a constant on the other side. You do this by performing the same math operation to both sides of the equation.
Here, we notice that the values outside parentheses are multiples of each other, so we can start by dividing by 2
3(y +7) = y -3 . . . . . . divide both sides by 2
3y +21 = y -3 . . . . . . . eliminate parentheses
Now, we can do steps 1 and 2 at the same time, by adding -21-y to both sides. This gets rid of unwanted variables and constants in one step. (Your teacher may want you to show separate steps.)
(3y +21) +(-21 -y) = (y -3) +(-21 -y)
2y = -24 . . . . . . . . . simplify
y = -12 . . . . . . . . . . . divide by the coefficient of the variable (step 3)
What is 12,925 to the nearest ten thousand
Answer:
To round to the nearest 10,000, you look at the number immediately to the right. If this number is 5 or above, you add 1 to the column in question and zero all numbers to the right. If the number immediately to the right is 4 or less, you just zero all numbers to the right.
In this case, the 10,000 column is the column with the 1. The number immediately to the right is 2. This is 4 or less, so we set all numbers to the right of the 10,000 column to zero.
I get 10,000
Step-by-step explanation:
Find the value of 5x + 6 when x = -2
Answer:
- 4
Step-by-step explanation:
Substitute x = - 2 into the expression
5x + 6 = 5(- 2) + 6 = - 10 + 6 = - 4
Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save ?
Answer:
50%
Step-by-step explanation:
75/150 = x/100
x = 50
Answer:
50%
explanation
half of 150 is 75(75x2)
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = –4 to x = 0.
A) None of these
B) B
C) a and b
D) c
Answer:
c
Step-by-step explanation:
Like I said in my previous answer, you have to look at the point that kinda "pokes out" of the graph, which in the interval (-4,0) is a and b
Answer:
See image.
Step-by-step explanation:
"Relative maxima" just means is this the highest spot in the graph in this very small neighborhood. (that's not a technical term)
On the interval x=-4 to x=0 is like asking you to only consider certain house addresses when you are looking for your answer. See image.
(1/4)^3 evaluate simplify
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.
[tex]\left(\frac{1}{4}\right)^3[/tex] The ³ is the exponent,
[tex]\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}[/tex] is the expansion, and
Multiply on top: 1 × 1 × 1 = 1
Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64
Hence, [tex]\frac{1}{64}[/tex] is the product or simplified form.
Another way:
[tex]\underline{\mathrm{Exponent\:rule\:}}\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]\left(\frac{1}{4}\right)^3[/tex]
[tex]=\frac{1^3}{4^3}[/tex]
[tex]1^3=1[/tex]
[tex]=\frac{1}{4^3}[/tex]
[tex]4^3=64[/tex]
[tex]=\frac{1}{64}[/tex]
What is the slope of this line?
a.−23
b.−13
c.13
d.23
Answer:
D
Step-by-step explanation:
I think you meant to put the answers as a fraction
Answer:
if there were slashes in between every answer, the answer would be
D. 2/3
Step-by-step explanation:
m = y2-y1 / x2-x1 (slope formula) ⋅the two points i used were: (0,-3) and (3,-1)
m = -1-(-3) / 3-0 (plug in the points)
m = -1+3 / 3-0
m = 2/3 (Simplify to get your answer)
Solve 3 - x= -9.
O A. x= 6
O B. x= 12
O c. x= -6
O D. x=-12
Answer:
x=12
Step-by-step explanation:
you need the x alone so you substract 3 from both sides.
Then you have, -x= -12
You need the x positive so you change the sign for it but as it is an equation you need to do the same thing on the other side, making both sides positive.
x=12
A cook has 32 ounces of a 5% apple cider vinegar that she wants to dilute to a 3% apple cider vinegar . How much water does she need to add to obtain that concentration?
The cook needs to add 21.3 ounces of water to obtain the concentration
The cook has 32 ounces of 5% apple cider vinegar.
The total apple cider vinegar the cook has is:
[tex]Total = 32 \times 5\%[/tex]
[tex]Total = 1.6[/tex]
Let the quantity of water be x.
To dilute 3% apple cider vinegar, the cook would make use of the following equation
[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]
So, we have:
[tex]Total = 3\%\times (32 + x)[/tex]
Substitute 1.6 for total
[tex]1.6= 3\%\times (32 + x)[/tex]
Divide both sides by 3%
[tex]53.3=32 + x[/tex]
Subtract 32 from both sides
[tex]53.3-32= x[/tex]
[tex]21.3= x[/tex]
Rewrite as:
[tex]x = 21.3[/tex]
Hence, the cook needs to add 21.3 ounces of water
Read more about concentration at:
https://brainly.com/question/25833493
Matt had instruction to take a box of nailsn
Answer:
2960 mod 9 = 8. So the classrooms he can take it to are 8, 17, 26, ... 17 is among these so he is correct
Step-by-step explanation:
I really don't know cause there is not enough explanation
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify lany fractions.
9V + 19 = 19
9V =
Subtract 19 from both sides
V =
Divide both sides by 9
Answer:
V=0
Step-by-step explanation:
9V + 19 =19
9V=19-19
9V=0
V=0
Estimate. Then divide. check for reasonableness 25,600 divided by 25.
Answer:
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____
Answer:
7.2
Step-by-step explanation:
20/12 = 12/x
20x = 144
x = 144/20
x = 7.2
Check to make sure your answer is right:
20/12 = 1.66666666667
12/7.2 = 1.66666666667
PLEASE HELP:
Check for understanding:
Answer:
P = 106
A = 330
Step-by-step explanation:
= 2(l+w) (perimeter of rectangle)
= 2·(18+15)
= 66
picture below of perimeter of right angle triangle
Add both values
P= 66 + 40
P = 106
= w*l (Area of rectangle)
=15·18
= 270
= ab/2 ( Area of triangle )
= 8·15/2
=60
Add both values
A = 60 + 270
A = 330
I hope it helps
the sum of three consecutive odd integers is 129. find the integers
Answer:
[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]
Step-by-step explanation:
Let the three consecutive integers be x, x + 2 and x + 4
So, the given condition is:
x + x + 2 + x + 4 = 129
3x + 6 = 129
Subtract 6 to both sides
3x = 129 - 6
3x = 123
Divide 3 to both sides
x = 123/3
x = 41
So, the integers are:
x = 41
x + 2 = 41 + 2 = 43
x + 4 = 41 + 4 = 45
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A
B
(7y+9)
If
2yº
04
с
What’s m
Answer:
acute angles A and C are 38°obtuse angles B and D are 142°Step-by-step explanation:
We assume the figure is a parallelogram, so the sum of the marked angles is 180°.
2y +(7y +9) = 180
9y +9 = 180 . . . . . . . simplify
y +1 = 20 . . . . . . . . . divide by 9
y = 19
m∠BCD = 2y° = 38°
m∠ABC = (7y+9)° = (7·19 +9)° = 142°
GUYS PLEASE HELP ME ON THIS ONE!, i will give brainliest to the right answers
Aisha has $40 to spend for her ornithology club. She spends some of it buying birdseed and saves the rest. Her savings is given by f(x)=40−1.25x, where x is the number of pounds of birdseed she buys at $1.25 per pound.
Answer:
Step-by-step explanation:
Given f(x)=40-1.25x, where x=pounds of birdseed and 40=her saved amount, and birdseed costs 1.25/lb.
f(3)=40-1.25(3)
f(3)40-3.75
f(3)=36.25
If she buys (3 pounds) of birdseed, she saves ($36.25).
f(18)=40-1.25(18)
f(18)=40-22.5
f(18)=17.5
If she buys (18 pounds) of birdseed, she saves ($17.5)
f(36)=40-1.25(36)
f(36)=40-45
f(36)=-5
If she buys (36 pounds) of birdseed, she will need an extra $5 to pay off her debt.
If she buys (36 pounds) of birdseed, she will need an extra $5 to pay off her debt.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given function f(x)=40-1.25x,
where x=pounds of birdseed and 40 is her saved amount, and birdseed costs is 1.25/lb.
f(3)=40-1.25(3)
f(3)40-3.75
f(3)=36.25
If she buys (3 pounds) of birdseed, she saves ($36.25) then;
f(18)=40-1.25(18)
f(18)=40-22.5
f(18)=17.5
If she buys (18 pounds) of birdseed, she saves ($17.5) then;
f(36)=40-1.25(36)
f(36)=40-45
f(36)=-5
If she buys (36 pounds) of birdseed, she will need an extra $5 to pay off her debt.
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whats .8421 rounded to the nearest tenth
Answer:
8420
weeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Erin spent half of her weekly allowance at the movies. To earn more money her parents let her wash the car for
$7. What is her weekly allowance if she ended with $12?
Write an equation to represent this situation
5.4-0.25 I'm so confused
Answer:
5.15
Step-by-step explanation:
Answer:
5.15
Step-by-step explanation:
5.4 = 5.40
5.40
- 0.25
= 5.15
because 0.40 - 0.25 = 0.15
Identify If the gas pressure in a ball is low,
how will it affect the physical properties of
the ball?
HELP PLS!!
Answer: i hope it was helpful
Step-by-step explanation:
The ball will appear normal or fully blown up with air. It will bounce like a normal ball that is inflated well. The ball will appear deformed and deflated.
Does anyone have the answers to Basic derivative rules: table on khan academy?
Answer:
The following table lists the value of functions ggg and hhh, and of their derivatives, g'g
′
g, prime and h'h
′
h, prime, for x=3x=3x, equals, 3.
xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g
′
(x)g, prime, left parenthesis, x, right parenthesis h'(x)h
′
(x)h, prime, left parenthesis, x, right parenthesis
333 ~~9 9space, space, 9 ~~~0 0space, space, space, 0 -15−15minus, 15 ~~~6 6space, space, space, 6
Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.
G'(3)=G
′
(3)=G, prime, left parenthesis, 3, right parenthesis, equals
Step-by-step explanation:
GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.
Answer:
y-4=4(x-1)
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side, so we can write the equation like this.
y=4x
To find the equation in point-slope form, we know that when x=1, y=4. This gives us the point, (1,4). We also know that the slope of the equation is 4.
Plug the coordinate point into the point slope formula.
y-y1=m(x-x1)
y-4=4(x-1)
Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.
Answer:
inequality form: x<-7 or x> 17
Step-by-step explanation:
What is the slope? X 0,1,2,3 y -5,-1,3,7
[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]
[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]
Derivative of tan^2 x
Answer:
[tex]2sec^2xtanx[/tex]
Step-by-step explanation:
[tex]\frac{d}{dx} tan^2x[/tex]
[tex]\frac{d}{dx} tanxtanx[/tex]
[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]
[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]
[tex]2sec^2xtanx[/tex]
Helpful tips:
Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]
Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]
Pythagorean Identity: [tex]cos^2x+sin^2x=1[/tex]
Solve the exponential equation: 2^3x+1 = 128
Answer:
So x=2.32956156226
Step-by-step explanation:
First subtract 1 on both sides
2^3x=127
Now you can rewrite this as
(2^3)^x
As it still equals the same thing
Now 2^3 is 8
So the equation is now
8^x=127
So we use log formula
log8 127=x
So how many times do we have to multiply 8 by itself to get 127?
The answer is: 2.32956156226
Hope this helps!
CAN YOU PLS HELP MEEEE
Answer:
10x - 2y
Step-by-step explanation:
simplify the expression.
8x–2y + x + x
combine numbers that have the same variables
8x + x + x
*those x have 1 coefficient each.
it will be 8x+1x+1x = 10x then –2y
10x–2y.
Hope it helps :)
danny is offering 36$ for 4 hours of swimming lessons. Martin in offering 54$ for 3 hours of swimming lessons. whose offer is better
Answer:
Danny's offer is cheaper
Step-by-step explanation:
Danny is offering 36$ for 4 hours meaning you would do 36÷4=9 (9$ per hour)
Martin is offering 54$ for 3 hours so 54÷3=18 (18$ per hour)
Or the faster way of finding why is Danny is offering more hours for cheaper
Hope this helps
PLEASE write an equation in point-slope form for the line that passes through the point with the given slope. (-2,11) m=4/3
Answer:
[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)
Step-by-step explanation:
Point-slope equation is: [tex]y-y_1=m(x-x_1)[/tex]
If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:
[tex]y-11=m(x+2)[/tex]
And of course we need to replace m with our slope:
[tex]y-11=\frac{4}{3}(x+2)[/tex]