Answer: simply
Step-by-step explanation: Example: 15y= -5x+0 First move -5 to other side of equal sign. So 15y+5x=0 Then simply by dividing by 5. So 5y+x=0
The graph of the line 4x+3y= 12 is translated right 1 unit and down 3 units. What is the equation of the new line?
Answer: y = 7/3 - (4/3)*x
Step-by-step explanation:
First, let's write our line in the notation:
y = f(x)
So we must isolate y in the equation:
4x + 3y = 12
3y = 12 - 4x
y = 12/3 - (4/3)*x = 4 - (4/3)*x
Now, we have two translations, one horizontal and one vertical.
Let's define them in general cases:
Horizontal translation.
When we have y = f(x) and we want to do a horizontal translation of A units to the right (A positive) we have:
y = g(x) = f(x - A)
So we replace our variable x by x - A.
Vertical translation.
When we have y = f(x) and we want to do a horizontal translation of A units up (A positive) we have:
y = g(x) = f(x) + A.
Then in this case we have:
y = f(x) = 4 - (4/3)*x
then, the horizontal translation of 1 unit to the right is:
y = f(x - 1) = 4 - (4/3)*(x - 1)
And the translation of 3 units down (a vertical translation) is:
y = f(x - 1) - 3 = 4 - (4/3)*(x - 1) - 3 = 1 + 4/3 - (4/3)*x
y = 7/3 - (4/3)*x
This equation represents the new line.
The sum of five and triple a number what is it please
Answer:
5 + 3a
Step-by-step explanation:
The expression is:
5 + 3a
The following are molecular formulas. Which formula represents an alkene? Decane (C10H22) Butane (C4H10) Ethane (C2H6) Propene (C3H)
Answer: Propene (C3H6)
Step-by-step explanation: Using the formula CnH2n to solve for Alkenes, propane is the only molecule that has an alkene, with twice as many hydrogen and carbon Atoms
The Alkene is the propene having Molecular formula [tex]C_3H_6[/tex].
What is Alkene?Alkenes are acyclic (branched or unbranched) hydrocarbons having one carbon-to-carbon double bond (C=C) and the general molecular formula CnH2n
Given:
For First, Carbon have 10 molecules then alkene have 2(10) = 20 Hydrogen.
So, (C10H22) is an Alkane.
Second, Carbon have 4 molecules then alkene have 2(4) = 8 Hydrogen.
So, (C4H10) is an Alkane.
Third, Carbon have 2 molecules then alkene have 2(2) = 4 Hydrogen.
So, (C2H6) is an Alkane.
Fourth, Carbon have 3 molecules then alkene have 2(3) = 6 Hydrogen.
So, (C3H6) is an Alkene.
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If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?
a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___, ...
Given :
A sequence of numbers begins at 400.
To Find :
If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .
Solution :
This is the a question of arithmetic progression .
The first term is , a = 400 .
Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .
So , common difference is , d = 5 .
Now , we know , [tex]n^{th}[/tex] number in A.P is given by :
[tex]a_n=a+(n-1)d[/tex]
Putting value of n = 2 , 3 , 4 .
We get :
[tex]a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415[/tex]
Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .
Hence , this is the required solution .
A rectangle has a length of 12 yards less than 10 times it’s width. If the area of the rectangle is 880 yards
Answer: The length is 88 yards and the width is 10 yards. Look into the steps for more information.
Step-by-step explanation:
The length is 12 yards less than 10 times the width so we can represent that by the equation L = 10w - 12
And the area is 880 so the width times the length has to equal 880. the width is w and the length is 10w -12
w( 10w -12 ) = 880 solve for w
10w^2 - 12w = 880 subtract 880 from both sides
-880 -880
10w^2 - 12w - 880 = 0 They share the same factors so dive each side by 2
5w^2 - 6w^2 - 440 = 0
a= 5 b = -6 and c=-440
The quadratic formula says that x= -b ± [tex]\sqrt{b^2- 4ac} / 2a[/tex]
x= 6 ±[tex]\sqrt{8836} / 5[/tex]
x= 6 ± 94 /10
x= 100 /10
x = 10
In this case the width is 10 yards.
The length is 12 less than 10 times the width .
So L = 10(10) - 12
L = 100- 12
l = 88
So the length is 88
The required length and width are 229 and 27 yards.
It is required to find the dimension of rectangle.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given:
A=l*w
w=width
10w-12=length
According to given question we have,
6183=(10w-12)(w)
6183=10[tex]w^{2}[/tex]-14w
9[tex]w^{2}[/tex]-14w-6183=0
By simplify we get,
(9w+229)(w-27)=0
w-27=0
w=27 yards
l=9*27-14=229 yards
Therefore, the required length and width are 229 and 27 yards.
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1. Which statement is true?
4.
A. 7.5 is 10 times as much as 750.
A
B. 0.2 is 1/10 of 2
E
C. 65 is 10 times as much as 0.065.
D. 70 is 1/10 of 7,000.
Answer:
B
Step-by-step explanation:
B is true because 0.2 x 10 = 2
Find the distance between the two points shown
a.5
b.7
c.21
d.27
Answer:
B. 7Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
From the diagram it can be seen that the line is parallel to the y axis, hence we are going to locate each endpoints on the y axis.
The lower end point is on 2units while the upper end point is on 9 units both on the y axis. The distance between this two points will be the difference between the end point values i.e 9-2 = 7 units.
Hence the distance between the two points shown is 7 units
Michael bought a classic car for $8,500. He restored it then added 150% markup before advertising it for sale. What is the amount of markup? is it 21250? or I'm I wrong thank you
Answer:
$12750
Step-by-step explanation:
Initial price = $8500
Markup = 150%
Markup amount:
$8500*1.5 = $12750Selling price would be:
$8500 + $12750 = $212502x² - (5 + 2x) + 6x²
Answer:
8x²-2x-5
Step-by-step explanation:
2x²-(5+2x)+6x²
2x²-5-2x+6x²
2x²+6x²-2x-5
8x²-2x-5
Hope this helps ;) ❤❤❤
Answer:
[tex]8 {x}^{2} - 2x - 5[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - (5 + 2x) + 6 {x}^{2} [/tex]
[tex]2 {x}^{2} - 5 - 2x + 6 {x}^{2} [/tex]
[tex]8 {x}^{2} - 2x - 5[/tex]
About half of the world’s population of 7.8 billion people live in urban areas. How many
people live in urban areas?
Bargain Rental Car offers rental cars in an off-airport location near a major tourist destination in California. Management would like to better understand the variable and fixed portions of it car washing costs. The company operates its own car wash facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer. Management believes that the variable portion of its car washing costs relates to the number of rental returns. Accordingly, the following data have been compiled:
Month Rental Returns Car Wash Costs
January 2,300 $ 10,200
February 2,500 $ 12,700
March 2,700 $ 11,000
April 2,900 $ 13,100
May 3,600 $ 15,400
June 4,900 $ 21,700
July 5,400 $ 21,400
August 5,300 $ 20,200
September 4,600 $ 22,000
October 3,800 $ 18,700
November 2,100 $ 9,900
December 2,500 $ 11,400
2. Using least-squares regression, estimate the variable cost per rental return and the monthly fixed cost incurred to wash cars. What is the R2 rounded to the nearest whole percentage? (Round Fixed cost to the nearest whole dollar amount and the Variable cost per unit to 2 decimal places.)
Answer:
Variable cost $3.79 ; fixed cost = $2185.47
Step-by-step explanation:
Given the data :
Rental return(x) :
2300
2500
2700
2900
3600
4900
5400
5300
4600
3800
2100
2500
Car wash cost :
10200
12700
11000
13100
15400
21700
21400
20200
22000
18700
9900
11400
Using the online regression calculator :
The obtained regression equation is :
ŷ = 3.79X + 2185.47
Comparing the obtained result with the general form of the equation:
y = mx + c
Where m = gradient or slope whose value gives the variation in cost per rental return (x)
c = intercept, which is constant or fixed, it is the value where the regression line crosses the y axis, hence, it corresponds to the fixed cost.
Hence,
The variable cost per rental return(m)
mx = 3.79x
m = $3.79
The fixed cost :
c = $2185.47
please help me
sec theta - cos theta= sin^2 theta/ cos theta
Answer:
Taking LHS
=1 by cos theta- cos theta
= (1- cos²0)/ cos0
= sin²0/ cos0 ( because 1-cos²0 is also equals to sin²0)
=RHS hence proved
Answer:
Step-by-step explanation:
Let theta be β.
So,
[tex]sec\beta - cos\beta = \frac{sin^2\beta }{cos\beta } \\=>\frac{1}{cos\beta } - cos\beta = \frac{1 - cos^2\beta }{cos\beta } \\=>\frac{1 - cos^2}{cos\beta } = \frac{1 - cos^2\beta }{cos\beta }[/tex]
Here , identity used = [tex]sin^2\beta + cos^2\beta = 1[/tex]
For every 8 boys signed up for intramural basketball, there are 6 girls. If there are 48 boys signed up to play intramural basketball, how many girls are signed up? 30 girls 33 girls 36 girls 42 girls
Answer:
36 girls signed up
Step-by-step explanation:
1. Create a ratio for boys to girls: 8:6
2. Multiply 8 * 6 to get 48 (amount of boys who signed up.)
Whatever we do one on side we do to the other, so multiply the girls by 6.
6 * 6 = 36
48:36 = 8:6
these ratios are proportional
You start at (7, 1). You move right 3 units.
Answer:
4,1
Step-by-step explanation:
The U.S. Department of Agriculture reported that out of every milk drinkers drink skim milk. If a storeowner orders gallons of milk, how many should be skim? Round the answer to the nearest gallon. To supply all of the skim milk drinkers, out of the gallons of milk ordered, gallons were skim milk.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]s = 12 \ gallons[/tex]
Step-by-step explanation:
From the question we are told that
The number of milk drinkers considered is [tex]m = 100[/tex]
The number of skim milk drinkers [tex]n = 50[/tex]
The gallons of milk supplied is q = 23 gallons
Generally the proportion of skim milk drinkers is mathematically represented as
[tex]p = \frac{n}{m}[/tex]
[tex]p = 0.5[/tex]
Generally the gallons of milk order that is skim milk is mathematically represented as
[tex]s = 0.5 * 23[/tex]
=> [tex]s = 12 \ gallons[/tex]
can someone help me with this?
Answer:
[See Below]
Step-by-step explanation:
✦ The pattern is y ÷ 8. (So just divided by 8 each time.)
✧ 512 ÷ 8 = 64
✧ 64 ÷ 8 = 8
✧ 8 ÷ 8 = 1
✧ 1 ÷ 8 = 0.125
✧ 0.125 ÷ 8 = 0.015625
✦ So then the next values would be:
✧ 8⁰ = 1
✧ 8⁻¹ = 0.125
✧ 8⁻² = 0.015625
~Hope this helps Mate. If you need anything feel free to message me.
Express each rational number in decimal form
17)
[tex] - \frac{7}{4} [/tex]
Answer:
It is a negative 1.75. (-1.75)
If you were 10 years old on
Earth, you would be 41.494 years old
on Mercury. Write the age on Mercury
as a mixed number in simplest form.
Answer:
[tex]41\frac{247}{500}[/tex]
Step-by-step explanation:
41.494
= [tex]41\frac{494}{1000}[/tex]
to simplify the fraction 494 /1000, we have to find and divide both numerator and denominator by the their highest common factor
494 = 2 x 13 x 19
1000 = 2 x 2 x 2 x 5 x 5 x 5
comparing the two, we can see that that the only common factor that both numbers share is 2, hence we divide both numerator and denominator by 2
41 494/1000
= [tex]41\frac{494}{1000}[/tex]
= [tex]41\frac{494/2}{1000/2}[/tex]
= [tex]41\frac{247}{500}[/tex]
If f(x)=(3+ X) over (X -3) what is f(a+2)
Answer:
5+a/a-1
Step-by-step explanation:
3+a+2/a+2-3=5+a/a-1
15 POINTS
1. name two planes that intersect in WX in the figure to the right
plane UVR and plane XTS
plane UVW and plane UVR
plane UVW and plane XTS
plane VUX and plane VWS
Benn Cornell and Tom Ingulli drove to Chicago a distance of 510 miles, their car gets 23 miles per gallon of gasoline. gasoline costs them $2.59 per gallon. how much did they spend for gasoline on there trip?
Answer:
about $57.42
Step-by-step explanation:
we know how many miles they drove in all (510) and how many miles they can drive per gallon (23)
we need to find out how many gallons of gas they used by dividing the total number of miles they drove (510) by the number of miles per gallon (23) which is about 22.17
510 ÷ 23 = 22.17
we then need to find out how much money they spent on the total number of gallons of gas they purchased by multiplying 22.17 by the amount of money for one gallon of gas ($2.59)
22.17 × 2.59 = $57.42
What point on the number line below represents the opposite of -4
all real numbers at least -5 and at most 9
A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters.
Hey there! I'm happy to help!
To find the volume of a cylinder, you multiply the base by the height.
First, we find the base. The base is a circle. To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14). The radius is half the diameter.
6.5/2=3.25
We square this.
3.25²=10.5625
And multiply by 3.14
10.5625(3.14)=33.16625
Now we multiply this by the height.
33.16625(12)=397.995
Therefore, the volume of this silo is 397.995 cubic meters.
Have a wonderful day! :D
Pls answer the question I need it asap I'm literally crying
Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)
Hi there! :)
Answer:
[tex]\huge\boxed{y = -7/2x + 4}[/tex]
Given equation:
y = 2/7x - 5
A perpendicular line will have a slope that is the opposite reciprocal, therefore:
2/7 --> -7/2
Substitute the x and y coordinates of the point given to write an equation in slope-intercept form:
(-3) = -7/2(2) + b
Simplify:
-3 = -7 + b
-3 + 7 = b
b = 4
Rewrite the equation:
y = -7/2x + 4
I need help with this pls ASAP
Answer: G.
Step-by-step explanation: you should divide both sides by 3. 3 divided by 3 is 0, and -12 divided by 3 is -4. therefore, your answer is (0,-4)
Answer: G (0,-4)
Step-by-step explanation:
You can use this website called "Desmos Graphing Calculator." The answer is G.(0,-4). It helps me a lot with graphing and graphing linear equations.
Zx and Zy are supplementary angles. Zy measures 116º.
What is the measure of Z?
Simplify the given expression.
6•9^3=
Answer:
4,374
Step-by-step explanation: solve the exponent first then do the multiplication