Answer:
y = -6 + [tex]\frac{8x}{5}[/tex]
Step-by-step explanation:
So you start off by subtracting 8x to the other side so now you'll have
-5y = 30 -8x
Next, you divide the -5 over so that y can be alone
y = [tex]\frac{30-8x}{-5}[/tex]
When you simplify this, you'll get
y = -6 + [tex]\frac{8x}{5}[/tex]
because [tex]\frac{30}{-5}[/tex] is equal to -6 and since a negative divided by a negative is positive, that turns [tex]\frac{-8x}{-5}[/tex] into [tex]\frac{8x}{5}[/tex]
leaving you with the answer of y = -6 + [tex]\frac{8x}{5}[/tex]
If the cost of electricity increases by 30% by what percentage one should reduce his spend in order that spends on electricity stays the same?
Answer:
That depend on how much you spend on electricity, and how much other spending you do.
For example: If your electric bill is 100 dollars, and it increases 30 percent to 130, that’s 30 extra dollars. If your electric bill is only 50 dollars, it will increase to 65, that’s an extra 15.
What percentage that increase is of your current spending will vary according to how much you spend. If you only spend 30 dollars, then you’ll need to cut all of it, or half of it to offset the increases I mentioned above. That’s a 100 percent or 50 percent reduction.
If you spend 1000 dollars, you’ll only need to cut spending by 3 percent to get that 30 dollars, or 1.5 percent to get the 15 dollars.
It all depends on your specific values, you can’t say “For every xx percent your electric bill increases, you need to cut spending by yy percent.”
for the consumption of X unit let u spends Y
for X - Y cost
for increased 30% means 13X/10 - 13Y/10 cost
extra money is 13Y/10 - Y = 3Y/10
note: hope this helps :)
thus (3Y/10)/ (13Y/10) *100 % = 300 / 13 = 23.07%.
the sum of two numbers is -4. the difference between those numbers is -38. what are the numbers?
Answer:
The numbers are [tex]-21[/tex] and [tex]17[/tex].
Step-by-step explanation:
If we let the numbers be [tex]x[/tex] and [tex]y[/tex], we can write the following system of equations to solve for them:
[tex]x+y=-4[/tex] (since the sum - which indicates addition - of the two numbers is [tex]-4[/tex])
[tex]x-y=-38[/tex] (since the difference - which indicates subtraction - of the two numbers is [tex]-38[/tex])
Solving for [tex]x[/tex] and [tex]y[/tex], we get:
[tex]x+y=-4\\x-y=-38[/tex]
[tex]2x=-42[/tex] (Add the two equations together)
[tex]x=-21[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient and simplify)
[tex]-21+y=-4[/tex] (Substitute [tex]x=-21[/tex] into one of the equations, I chose the first one but it doesn't matter which one you choose)
[tex]y=17[/tex] (Add [tex]21[/tex] to both sides of the equation to isolate [tex]y[/tex] and simplify)
Therefore, the numbers are [tex]-21[/tex] and [tex]17[/tex]. Hope this helps!
Gia has 60 meters of fence. She wants to
mark off a square area in the yard for her
dog. What will be the side length of the
square if she uses all of the fence?
The side length will be
meters.
Answer:
15
Step-by-step explanation:
A square has 4 sides, so you can do 60 divided by 4 to find how many meters on each side.
60 / 4 = 15 meters for the side length
The side length of the square yard is 15 m.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is side².
We have,
The total length of the fence = 60 meters.
The square yard will have the same length on all four sides.
This means,
The side length of the square yard.
= 60/4
= 15
Thus,
The side length is 15 m.
Learn more about squares here:
https://brainly.com/question/22964077
#SPJ2
Find the orthocenter of a triangle with vertices (−8, 11), (−3, 11), and (−3, −12).
The orthocenter of triangle is at ( , ).
Answer:
( -3, 11)
Step-by-step explanation:
find the equation of the line between points ( -8, 11) and (-3, 11)
y= mx +b , where m is slope snd b is y-intercept
m = (y2-y1)/ (x2-x1) = 11-11/ -8- -3 = 0/ -5 = 0 ( if slope is o is a horizontal line)
y = 0x + b and pick a point to find b
11 = 0*-8 + b so b= 11
y = 11 is the equation of the line between points ( -8, 11) and (-3, 11) and the equation of its perpendicular line is x=-3
the equation of the line between points (-3, 11) and ( -3, -12) is x= -3 and the perpendicular to it is y= 11
so we have a right triangle so the ortho center is at (-3, 11) where the vertex of the 90 degree angle is
You randomly choose a tile. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.The probability of choosing an odd number and then a 20
Answer:
P odd number, then 20) = 1 /14
Step-by-step explanation:
P( odd number) = number of odd numbers/ total
number of odd numbers = 3
total = 7
P( odd number) = 3/7
We keep the tile so that there are only 6 tiles left
P (20) = number of 20/ total
= 1/6
We multiply the probabilities together
P odd number, then 20) = 3/7 * 1/6 = 3/42 = 1 /14
can someone please help with number 9??? i need it for an important grade
Answer:
C$492 is sitting in the bank with it being a positive number
$3 dollars are being charged per month.
Renae drives a delivery can on the weekends
She had a total of 12 3/4 gallons of fuel Renae knows that ever gallon fbfuel she can travel 21 miles of she uses all her Fuel how many miles will she travel
Answer:
267 3/4 miles
just do 12 3/4*21
Can someone do a few IXL assignments for me ? I'll pay you 20 bucks 10th grade geometry
Answer:
Sure, just post them
Step-by-step explanation:
Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
Cylinder volume:
[tex]\pi {r}^{2} h = volume[/tex]
Hence: 3.14 × (5)^2 × 15V= 1178.1A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line and the positive x-axis has measure θ.
Answer:
[tex]\cos\theta=\frac{10}{\sqrt{116}}[/tex]
Step-by-step explanation:
To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.
[tex]\cos\theta[/tex] is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.
We can use Pythagorean's Theorem to find the hypotenuse (let [tex]c[/tex] represent the length of the hypotenuse):
[tex]10^2+4^2=c^2[/tex]
[tex]100+16=c^2[/tex]
[tex]116=c^2[/tex]
[tex]c=\sqrt{116}[/tex]
Thus, we know the adjacent is 10, and the hypotenuse is [tex]\sqrt{116}[/tex]. This means [tex]\cos\theta=\frac{10}{\sqrt{116}}[/tex].
Hope this helps!
The last day of the week of a particular month is on the 29th day of that month. What day of the week is the first day of that month? Hint: What is the last day of the week called?
Answer:
Saturday
Step-by-step explanation:
Saturday is the last day in a week.
Answer:
monday i think
Step-by-step explanation:
yea monday
The Stock Market Nadia is a stockbroker. She earns 11% commission each week. Last week, she
sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that
same amount each week, how much did she make in commission in 2011?
Last week, she made $
in commission.
Answer:
she made $583 commission last week
she made $30313
Step-by-step explanation:
5300 * .11=583
583 * 52 weeks =30316
Question /
State the quadrant in which the terminal side of the given angle lies.
0 =
77
4.
А
II
B.
I
IV
Ос
Oo
III
Answer:
9y - 19 = 62
Step-by-step explanation:
thats not that answer i dont know what the answer is
what is 100 divided by 52
1.92307692308
Hope this helps! :D
9. Find m LMN.
(4x + 2)
M
-(7x - 37)
N
P
Plss
Answer:
108°
Step-by-step explanation:
Triangle LPM is similar to triangle MPN (they share MP, LP=NP and they both contain right angles.
This means that ∠LMP = ∠ PMN:
∠LMP = ∠ PMN
4x+2 = 7x-37
3x=39
x=13
∠LMN = ∠LMP + ∠ PMN
= 4(13)+2 + 7(13)-37
= 54 + 54
=108°
In 45 years will be 4 times older how old is she now
Answer and Step-by-step explanation:
The key for this has a current age and a future age. Sometimes these problems have more than one person or has a past age.
current age future age
x x+45
The future age is 4 times current age
x+45 = 4x
45 = 3x
15 = x
She is currently 15. 45 years from now she will be 60.
60 is 4 times her current age. So right now, she is 15.
#teamtrees #WAP (Water And Plant)
Answer:
11yrs (6months)
Step-by-step explanation:
11.5×4=45
Since .5 in years is 6 months
Which Heinz Ketchup offer is the better deal? (Assume the price stays proportional and the Ketchup is
Identical.) Show ALL work and labels, and make sure you include a "because." in your answer.
Deal A
38 oz for $2.98
Deal B
114 oz for $6.48
Draw a quadrilateral with one pair of parallel sides and two right angles. Explain why this figure is a trapezoid.
Answer:i cant draw on brainly
Step-by-step explanation:i cant draw
The difference of two times a number and the number is eight
Answer:
2n-5=8
Step-by-step explanation:
20% tip on a
$30 haircut.
the tip is 15$ im pretty sure
The equation y =
12 represents a proportional relationship. What is the
constant of proportionality?
A. 12
B. X
C. 1
D. 0
Answer:
The constant of proportionality k = 12
Hence, option A is true.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get
y ∝ x
y = kx
Where 'k' is called the constant of proportionality.
In our case,
The given equation is
y = 12x
comparing with the equation y = kx, we can say
k = 12 which is the constant of proportionality.
Therefore, we conclude that:
The constant of proportionality k = 12
Hence, option A is true.
3x3-5/5x6+19 i don’t know what I’m don’t wrong
Hi there!
For these two equations, we would be using PEMDAS...
[tex]3[/tex]·[tex]3=9-5=4[/tex]
[tex]5[/tex]·[tex]6=30+19=49[/tex]
Hope this helps!
5.9 divided by 35.4 equals?
5.9 divided by 35.4 is 0.16
Answer:
0.167 or 0.1666666666666
Step-by-step explanation:
5.9 ÷ 35.4 = 0.16666666666 (the 6 is unending)
if you round that:
0.167
Enter the solution to the problem x/2 = 4.5
Answer: 9
Step-by-step explanation:
do the opposite 2·4.5=9
x=9
check your work
9/2 or 9÷2=4.5
Answer:
x4
Step-by-step explanation:
Pedro bought a movie ticket for $9.50 and popcom por $4.35. He has $8.75 left
over How much money did he have before he went to the movies?
Answer:
He had $22.60
Step-by-step explanation:
$9.50 + $4.35 = 13.85 + 8.75 = $22.60
Kareem cut a wire into 6 pieces. The wire was originally 9.52 meters long. How long is each piece ?
Answer:
about 1.59 meters long each
The formula P=a+b+c gives perimeter P of triangle side lengths a,b,and c how much greater is perimeter when triangle measures 33yds 56yds and 65yds to a triangle that measures 26yds 49yds and 38yds
Answer:
41 yards greater is the perimeter of 1st triangular field than the perimeter of 2nd triangular field.
First we have to calculate the perimeter of 1st triangle.
Given:
a = 33 yards
b = 56 yards
c = 65 yards
Now we have to calculate the perimeter of 2nd triangle.
Given:
a = 26 yards
b = 49 yards
c = 38 yards
Now we have to calculate which triangle has greater perimeter and how much greater.
Therefore, 41 yards greater is the perimeter of 1st triangular field than the perimeter of 2nd triangular field.
Step-by-step explanation:
(154-113)
41 yards bigger
Answer:
41 yds
Step-by-step explanation:
33+56+65=154
26+49+38=113
154-113=41 yds
What is-26000-(-9500)
Answer:
[tex]-16500[/tex]
Step-by-step explanation:
In order to find the answer to this question you need to use KCC (Keep, Change, Change) and solve.
[tex]-26000-(-9500)[/tex]
Use KCC
[tex]-26000 + 9500[/tex]
[tex]-26000+9500=-16500[/tex]
[tex]=-16500[/tex]
Hope this helps.
Answer:
-35500 hope this helps
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
[tex]y=-10x+43[/tex]
Step-by-step explanation:
We need to put this line into slope-intercept form, which is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.
The slope is rise over run, how much the [tex]y[/tex] value changes for one [tex]x[/tex] value. This can be found with the equation: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points on the line. Plugging in the first two points:
[tex]m=\frac{3-13}{4-3}=-10/1=-10[/tex]
We know them that [tex]m=-10[/tex]. This gives us for now [tex]y=-10x+b[/tex].
Now, to solve for [tex]b[/tex], plug in any one of the points (I'll use (3,13)):
[tex]13=-10(3)+b[/tex]
[tex]13=-30+b[/tex]
[tex]b=43[/tex]
This gives us the equation [tex]y=-10x+43[/tex].
annual sales for a company are $150,000 and increases at a rate of 8% per yr for 6 yrs. After 6 yrs the company annual sales are?
Answer:
After 6 years, the company's annual sales will be $222,000
Step-by-step explanation:
8 percent of 150,000 is 12,000 which is the annual sale increase every year. Multiply that by 6 which is 72,000, the amount of annual sales after 6 years. Add that with 150,000 and you'll get 222,000.