The difference of y and 8.1 is 20.
Flnd the value of y.
Answer:
y = 28.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set Up Equation
"Difference" is subtraction
"y" is y
"8.1" is 8.1
"is" is equal
"20" is 20
y - 8.1 = 20
Step 2: Solve for y
Add 8.1 to both sides: y = 28.1Solve for y
*show your work *
6. -6 + 2y= -x
7. 3y - 6x = 15
8. 2x + 4y = 8
9. 3x -3y = 3
10. 1/2y - 4x = 2
Answer: 1)2x=4 -> 4/2 = 2 so x=2
2) y=0
3) x=3
4) 2y + (3*3y) = -15
11y=-15
y = -15/11
5) 4x + 7x + 63 = 19
11x = -44
x = -4
Step-by-step explanation:
Writing Equations of Parallel Lines
y
10
What is the slope of the line that is parallel to the given
line and passes through the given point?
8
6
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
given point?
4.
2
-10 -8 6 4
What is the y-intercept of the line that is parallel to the
given line and passes through the given point?
2
4.
6
8
10
-2
-2
4
-6
-8
-10
Answer:
The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]
The equation of the parallel line to the given line and passes through the given point is y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
The y-intercept of the parallel line to the given line and passes through the given point is [tex]-\frac{9}{2}[/tex]
Step-by-step explanation:
The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]The point-slope form of the linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the lineThe slope-intercept form of the linear equation is y = m x + b, where m is the slope and b is the y-interceptParallel lines have the same slopes and different y-interceptsIn the given figure
∵ The given line passes through points (2, 6) and (-6, 8)
∴ x1 = 2 and y1 = 6
∴ x2 = -6 and y2 = 8
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{8-6}{-6-2}[/tex] = [tex]\frac{2}{-8}[/tex] = [tex]-\frac{1}{4}[/tex]
∴ The slope of the given line is [tex]-\frac{1}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]
∵ The parallel line passes through the point (-2, -4)
∴ x1 = -2 and y1 = -4
∵ m = [tex]-\frac{1}{4}[/tex]
→ Substitute them in the point-slope form above
∵ y - (-4) = [tex]-\frac{1}{4}[/tex] (x - (-2))
∴ y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
∴ The equation of the parallel line to the given line and passes through
the given point is y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
∵ m = [tex]-\frac{1}{4}[/tex]
→ Substitute it in the slope-intercept form above
∴ y = [tex]-\frac{1}{4}[/tex] x + b
→ To find b substitute x by -2 and y by -4 (coordinates the given point)
∵ -4 = [tex]-\frac{1}{4}[/tex](-2) + b
∴ -4 = [tex]\frac{1}{2}[/tex] + b
→ Subtract [tex]\frac{1}{2}[/tex] from both sides
∴ [tex]-\frac{9}{2}[/tex] = b
∵ b is the y-intercept
∴ The y-intercept of the parallel line to the given line and passes
through the given point is [tex]-\frac{9}{2}[/tex]
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
✔ –1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
✔ y + 4 = –1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
✔ –9/2
Step-by-step explanation:
the length of a rectangle is one unit more than its width. if the area of the rectangle is 56 square units,find the dimensions of the rectangle
Given:
The length of a rectangle is one unit more than its width.
Area of rectangle = 56 units
To find:
The dimensions of the rectangle.
Solution:
Let, width of the rectangle be x.
Then, length of the rectangle = x+1
Area of a rectangle is
[tex]Area=length\times width[/tex]
[tex]56=(x+1)\times x[/tex]
[tex]56=x^2+x[/tex]
[tex]0=x^2+x-56[/tex]
By splitting the middle term, we get
[tex]x^2+8x-7x-56=0[/tex]
[tex]x(x+8)-7(x+8)=0[/tex]
[tex](x-7)(x+8)=0[/tex]
Using zero product property, we get
[tex]x-7=0[/tex] and [tex]x+8=0[/tex]
[tex]x=7[/tex] and [tex]x=-8[/tex]
Width cannot be negative. So, x=7.
Now,
Width = 7 units
Length = 7+1
= 8 units
Therefore, the length of the rectangle is 8 units and width is 7 units.
Answer:
7
Step-by-step explanation: POV: I got it right
11. Find the measure of each missing angle.
Help me pls!
Answer:
1=15?
Step-by-step explanation:
5*4=15 becuz lower angle=top 1 angle and stuff i hope this helps. im just a helpless 6th grader :)
Find the inverse when f(x)=3x^2-3x-2
Answer:
The inverse of f(x) is [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the inverse of the quadratic function f(x) = ax² + bx + c, you should put it in the vertex form f(x) = a(x - h)² + k, where
h = [tex]\frac{-b}{2a}[/tex] k is the vlue f at x = h∵ f(x) = 3x² - 3x - 2
→ Compare it with the 1st form above to find a and b
∴ a = 3 and b = -3
→ Use the rule of h to find it
∵ h = [tex]\frac{-(-3)}{2(3)}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
∴ h = [tex]\frac{1}{2}[/tex]
→ Substitute x by the value of h in f to find k
∵ k = 3( [tex]\frac{1}{2}[/tex])² - 3( [tex]\frac{1}{2}[/tex]) - 2
∴ k = [tex]-\frac{11}{4}[/tex]
→ Substitute the values of a, h, and k in the vertex form above
∵ f(x) = 3(x - [tex]\frac{1}{2}[/tex])² + [tex]-\frac{11}{4}[/tex]
∴ f(x) = 3(x - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
Now let us find the inverse of f(x)
∵ f(x) = y
∴ y = 3(x - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
→ Switch x and y
∵ x = 3(y - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
→ Add [tex]\frac{11}{4}[/tex] to both sides
∴ x + [tex]\frac{11}{4}[/tex] = 3(y - [tex]\frac{1}{2}[/tex])²
→ Divide both sides by 3
∵ [tex]\frac{x+\frac{11}{4}}{3}[/tex] = (y - [tex]\frac{1}{2}[/tex])²
→ Take √ for both sides
∴ ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] = y - [tex]\frac{1}{2}[/tex]
→ Add [tex]\frac{1}{2}[/tex] to both sides
∴ ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex] = y
→ Replace y by [tex]f^{-1}[/tex](x)
∴ [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
∴ The inverse of f(x) is [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
On an assembly line that is 150 feet long, there is a work station every 15 feet. The first station is at the very beginning of the line. How many work stations are there?
1/4x+3/8 factored by the GCF
Given:
[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]
To find:
The factor form of given expression by the GCF.
Solution:
First we need to find the GCF of [tex]\dfrac{1}{4}[/tex] and [tex]\dfrac{3}{8}[/tex].
So, make denominators same.
[tex]\dfrac{1}{4}=\dfrac{1\times 2}{4\times 2}=\dfrac{2}{8}[/tex]
Now,
[tex]GCF\left(\dfrac{2}{8},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]
[tex]GCF\left(\dfrac{1}{4},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]
We have,
[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]
It can be written as
[tex]=\dfrac{2}{8}x+\dfrac{3}{8}[/tex]
Taking out the GCF [tex]\dfrac{1}{8}[/tex], we get
[tex]=\dfrac{1}{8}(2x+3)[/tex]
Therefore, the required factor form is [tex]\dfrac{1}{8}(2x+3)[/tex].
math please help me
answer choice
This system has no solutions.
(5/8, 14)
This system has infinitely many solutions.
(−5/8, 4)
Answer:
What do you mean? It could be both, in different ways.
Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?
Answer:
15 centimeters
Step-by-step explanation:
Ratio of Mr. Thompson rectangle = length : width
= 5 : 2
Audrey plans to draw a rectangle with a width of 6 centimeters.
Ratio of Audrey rectangle = length : width
= x centimeters : 6 centimeters
Equate the two ratios to find the value of x
5 : 2 = x : 6
Cross product
5 * 6 = 2 * x
30 = 2x
Divide both sides by 2
x = 30 / 2
= 15
x = 15 centimeters
Audrey's rectangle should have a length of 15 centimeters
Answer:
15
Step-by-step explanation:
A survey of 100 doctors revealed that 2 out of every 5 doctors recommended Brand M deodorant. Based on these results, how many doctors did NOT recommend Brand M?
Answer:
40
Step-by-step explanation:
5 x 5 is 25 so 2 x 5, 20 times makes 40
How do I solve 1.5 to the -2 power or 1.5^-2 (its an exponent) I have had to repost this like 3 times IF YOU ARE NOT SURE THEN DONT ANSWER the answer is .4 repeating if your explanation does not get that move along
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then
[tex]1.5^{-2}[/tex]
= [tex]\frac{1}{1.5^{2} }[/tex]
= [tex]\frac{1}{2.25}[/tex]
= 0.4444.....
HELP ME PLS !!!!!!!!!
(C)
A man, 1.4m tall, is inspecting the behavior of a bird sitting at the top of a pole of
the height 43.4m. If the man is standing 14√3m away from the bottom of the pole
on the horizontal level, at what angle is he looking at the bird?
60°
take (43.4-1.4)m to get the remaining height which Wii be you height ie.42m
base is the distance that the man stands away from the pole
using tan rule will be opposite/adjacent
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster?
Answer:
First tanks
Step-by-step explanation:
Rate for the first tank
One tank is filling at a rate of 5/8 gallon per 7/10 hour.
= 5/8 gallon ÷ 7/10 hour
= 5/8 ×10/7 (gallon/hour)
= 25/28 gallon/hour
= 0.8928571429 gallon /hour
Rate for the second tank
A second tank is filling at a rate of 5/9 gallon per 2/3 hour.
5/9 gallon ÷ 2/3 hour
5/9 × 3/2 (gallon per hour)
= 5/6 (gallon per hour)
= 0.8333333333 gallon/hoir
The tank that is filling faster the first tank at the rate of 0.8928571429 gallon /hour
70% of 350 is what number?
Answer:
245
Step-by-step explanation:
What is 70 percent (calculated percentage %) of number 350? Answer: 245.
Write 1.417x10^2 in standard notation please hurry .thank you
Answer:
The standard notation would be 141.7
Step-by-step explanation:
Select the correct answer
Answer:
1/49
Step-by-step explanation:
multiplying two of these, as long as the bases are the same, which is true here, you can add the exponents
so the exponents would be
-5/6 + (-7/6)=-5/6-7/6=-12/6=-2
7^-2=1/49
Answer:
Step-by-step explanation:
1/49
help please..... I cant find the answe
Answer:
[tex]6^{30}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] ⇔ [tex]a^{mn}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(6^-4)^{-9} }{6^6}[/tex]
= [tex]\frac{6^{36} }{6^{6} }[/tex]
= [tex]6^{(36-6)}[/tex]
= [tex]6^{30}[/tex]
Which set represents a function?
{(1, 3), (4, 5), (4, 9), (6, 19)}
{(-5, 6), (-3, 13), (-14, 30)}
{(12, 12), (12, 13), (12, 14)}
Answer: {(-5, 6), (-3, 13), (-14, 30)} is a function
{(12, 12), (12, 13), (12, 14)} and {(1, 3), (4, 5), (4, 9), (6, 19)} are not a function
Answer:
the second set
Step-by-step explanation:
You cannot have the same number in your domain twice.
Set up the following additional using a vertical format and find the sum of the given polynomials:
7b+3, -4b+5, and -3b+2
Answer:
Step-by-step explanation:
The Answer is 10
Will give brainliest, Please help!!
A man walking his dog went around the neighborhood (1 mile) in 20 minutes. What was his speed?
Answer:
what?
Step-by-step explanation:
What’s the answer to this problem I’m really confused ?
Answer:
C
Step-by-step explanation:
sin= opposite/hypotenuse
6. Sharon divides a meatloaf into elevenths. How many elevenths equals the whole meatloaf?
Answer:
11 elevenths equal a whole meatloaf
11/11=1
Answer:
11 11ths
Step-by-step explanation:
11/11 = 1 whole
A large cube has a volume of 1 cubic unit. A small cube has a volume of 1 27 of a cubic unit. What is the difference between the edge length of the large cube and the edge length of the small cube?
Given:
Volume of Large cube = 1 cubic unit
Volume of small cube = [tex]\dfrac{1}{27}[/tex] cubic unit
To find:
The difference between the edge length of the large cube and the edge length of the small cube.
Solution:
Let the edges of large and small cubes are [tex]a_1[/tex] and [tex]a_2[/tex] respectively.
We know that, volume of a cube is
[tex]V=(edge)^3[/tex]
Volume of Large cube = 1 cubic unit
[tex](a_1)^3=1[/tex]
Taking cube root on both sides, we get
[tex]a_1=1[/tex]
So, edge of large cube is 1 unit.
Volume of small cube = [tex]\dfrac{1}{27}[/tex] cubic unit
[tex](a_2)^3=\dfrac{1}{27}[/tex]
Taking cube root on both sides, we get
[tex]a_2=\dfrac{1}{3}[/tex]
So, edge of large cube is [tex]\dfrac{1}{3}[/tex] unit.
Now, difference between them is
[tex]d=a_1-a-2[/tex]
[tex]d=1-\dfrac{1}{3}[/tex]
[tex]d=\dfrac{3-1}{3}[/tex]
[tex]d=\dfrac{2}{3}[/tex]
Therefore, the difference between the edge length of the large cube and the edge length of the small cube is [tex]\dfrac{2}{3}[/tex] unit.
5713065981 if your this guy text me
Answer:
imagine she doesn't find him
*grins with werid intantions*
Missing angels in triangles worksheet
Answer:
Try to find it !
Step-by-step explanation:
look at every spot you went to in the day ! retrace your steps !
What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3
Given:
The expressions are
[tex]-6a^2b^{-1}[/tex]
[tex]\dfrac{5}{y^{-3}}[/tex]
To find:
The simplified form of each expression.
Solution:
We have,
[tex]-6a^2b^{-1}[/tex]
[tex]=-6a^2(\dfrac{1}{b})[/tex] [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]
[tex]=-\dfrac{6a^2}{b}[/tex]
Therefore, the simplified form of [tex]-6a^2b^{-1}[/tex] is [tex]-\dfrac{6a^2}{b}[/tex].
We have,
[tex]\dfrac{5}{y^{-3}}[/tex]
[tex]=\dfrac{5}{\dfrac{1}{y^3}}[/tex] [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]
[tex]=5\times \dfrac{y^3}{1}[/tex]
[tex]=5y^3[/tex]
Therefore, the simplified form of [tex]\dfrac{5}{y^{-3}}[/tex] is [tex]5y^3[/tex].
Pls ANSER WHOEVER ANSWERS FIRST GETS BRAINLIEST!!!!!!!!!
Shelby bought 6½ pounds of hamburger meat to make hamburger
patties. However, 4⅔ pounds of the hamburger had to be thrown away.
How much of the hamburger meat did not get thrown away?
Answer:
1.83 was not thrown away
Answer:
2 1/6
Step-by-step explanation:
6 1/2 - 4 2/3 = 2 1/6