[tex]\sf \longmapsto4x-15=3[/tex]
[tex]\sf \longmapsto4x = 3 + 15[/tex]
[tex]\sf \longmapsto4x = 18[/tex]
[tex]\sf \longmapsto{x }= \frac{18}{4}[/tex]
[tex]\sf \longmapsto x = 4.5[/tex]
Answer:
[tex]x=\cfrac{9}{2}\;\; or \;\;4.5[/tex]
Step-by-step explanation:
[tex]4x-15=3[/tex]
[tex]4x-15+15=3+15[/tex] Add 15
[tex]4x=18[/tex]
[tex]\cfrac{4x}{4}=\cfrac{18}{4}[/tex] Divide by 4
[tex]x=\cfrac{9}{2}[/tex]
a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?
Answer:
197
Step-by-step explanation:
https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf
Can someone please tell me the answer to this?
Answer:
look at the picture ..........
Answer:
x³
Step-by-step explanation:
x × [tex]x^{5}[/tex] = [tex]x^{6}[/tex]
[tex]x^{2}[/tex] × [tex]x[/tex] = [tex]x^{3}[/tex]
[tex]\frac{x^6}{x^3}[/tex]= x³
There are six cookies and four friends want to share them how much will it be
Answer:
1.5 each friend
Step-by-step explanation:
6 divided by 4 = 1.5
An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?
Answer:
ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252
Hope This Helps!!!
Marked down 1/9 means it sold for 8/9 of the original price.
Divide the sale price by 8/9:
224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252
The original price was $252
Find the area of the figure below, formed from a triangle and a parallelogram
Answer:
32 square millimeters
Step-by-step explanation:
Parallelogram area formula => B x h
Base = 6 mm
Height = 4 mm
Area = 24 mm^2
Triangle area formula B x h x 1/2
Base = 8 mm
Height = 2 mm
Area = 8 mm^2
Total area = 24 + 8 = 32 mm^2
The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
As per the given parallelogram and a triangle,
The bigger side of parallelogram = 6 + 2 = 8mm
Smaller side = 6mm
The perpendicular distance between the sides of the parallelogram = 4mm
The base of the triangle = 2mm
Height of triangle = 4 mm
Therefore, the complete area ⇒
(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²
Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".
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The area of the pilgrims cornfield is 6,396 square feet. The width of the cornfield is 52 feed. What is the length of the cornfield? Show your work
Based on the area of the field and the width as well, the length is most likely 123 feet.
The area of the cornfield is calculated as:
= Length x Width
You have the width so you can substitute it in the equation to find the length:
6,396 = Length x 52
Solving would give:
Length = 6,396 / 52
= 123 feet
In conclusion, the length is 123 feet.
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Use an array and partial products to find
3 x 121.
3 x 100 = 300
3 x 20 = 60
3 x1= 3
300 +60 +3=363
HELP!!!!!!!!!!!!!!!!!!!!!
Answer: A
Step-by-step explanation:
The easiest way to solve this would be to convert everything into a fraction.
9.5, 9 3/8, 9.125, 9 3/4
=
9 4/8, 9 3/8, 9 1/8, 9 6/8
So from greatest to least,
9 3/4, 9.5, 9 3/8, 9.125
So, A
Answer: The answer is F ( 9 3/4 9.5 9 3/8 9.125 )
Step-by-step explanation:
From greatest to least.
1) 9 3/4 = 9.75
2) 9.5 = 9.50 ( 9 1/2)
3) 9 3/8 = 9.37
4) 9.125 = 9.12 ( 9 1/8)
13) When simplified, -2(x + 4) 3(2x + 1) is equivalent to
Answer:
-6(x=4)(2x+1)
Step-by-step explanation:
Just multiply -2 x 3
Hope this helps! :)
Pleeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaase help
Answer:IT IS 170
Step-by-step explanation:
solve pls brainliest
Answer:
Step-by-step explanation:
x= cost per gallon
10x=23
x=2.3
2.3*15= 34.5
What is free energy.
Answer:
free energy, in thermodynamics, energy-like property or state function of a system in thermodynamic equilibrium. Free energy has the dimensions of energy, and its value is determined by the state of the system and not by its history.
Which of the following is a run on sentence
Answer:
B.
Step-by-step explanation:
There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3
What is the slope of the line?
Answer:
2
Step-by-step explanation:
Slope equals rise over run. use the slope formula
slope= (y2-y1)/(x2-x1)
find two points on the line. I used points (0,1) and points (1,3)
0=x1
1=y1
1=x2
3=y2
plug into the equation and you get
(3-1)/(1-0)=2
How many sides does a polygon have if the sum of the interior angles is 360
Answer:
4
Step-by-step explanation:
we know that triangles have 180 degrees inside them and quadrilaterals are made up of two triangles, since 180 x 2 is 360 we know it's a quadrilateral.
What is the ratio of apples to bananas?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
3 :4
Answer:
a
Step-by-step explanation:
it has the same a prime bundle
n is an integer greater than 1
Prove algebraically that 10+ n^2 - (n - 2)^2 is always an even number.
Your final line must have, 'always even' as part of the line.
Answer:
Proof below.
Step-by-step explanation:
Let f(n)=10+ n^2 - (n - 2)^2.
We want to prove f is even for integer n > or = 1.
Let's show f is even for the base case, n=1.
f(1)=10+1^2-(1-2)^2
f(1)=10+1-(-1)^2
f(1)=11-(1)
f(1)=10
f(1) is even.
Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.
Note: f(k)=10+ k^2 - (k - 2)^2.
We want to show f(k+1) is even.
f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2
f(k+1)=10+ (k+1)^2 - (k-1)^2
f(k+1)=10+ ((k+1)^2 - (k-1)^2)
That difference is a difference of squares. Let's try factoring it.
f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])
f(k+1)=10+ (2)(2k)
Multiply:
f(k+1)=10+4k
Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.
This proves for all integers n>=1 that f(n) is even.
We could have this without induction then. Let's do that here below this line.
-------------------
10+ n^2 - (n - 2)^2
10+[n^2 - (n - 2)^2]
Factor difference of squares:
10+(n-(n-2))(n+(n-2))
Simplify:
10+(2)(2n-2)
Factor:
2[5+(2n-2)]
Because of the factor of 2, the given expression is always even for integer n.
Cual es el resultado de 12/6?
Answer:
Resultado es dos (2)
Answer:
2
Step-by-step explanation:
Erika is going to the store to buy a gallon of milk and some apples. The gallon of milk costs $3.50 and apples
cost $1.50 per pound. Use this information to complete the table, create a graph, and write an equation that
represents Erika’s total cost, C, of buying the milk and a pounds of apples.
Answer:
C = $5.00
Step-by-step explanation:
C = $5.00 because IF Erika gets 1 pound of apples they would cost $5.00
$3.50
+ $1.50
______
$5.00
I am so srry for not being specific.
or
Find the slope of the line
y
=
9
5
x
−
9
5
.
Bert and Ernie own 20 rubber duckies total. If Bert owns 8 rubber duckies, how many does Ernie own?
Answer:
Ernie earns 12 rubber duckies
Step-by-step explanation:
20-8=12
Find the perimeter. Simplify your answer.
Answer:
32t
Step-by-step explanation:
parallelogram. two opposite sides r equal.
2(8t+2)+2(8t-2)
16t+4+16t-4
32t
what is 15/2 into a mixed number
7 1/2.
2 goes into 15 7 times with one left over.
The quotient of 2 and the sum of a number and 1
Answer:
2/(x + 1)
Step-by-step explanation:
Sixteen Students Have Registered For A Summer Sports Camp. They Are To Be Divided Into Either A Swimming Or A Tennis activity, with no more than 10 students IN EITHER GROUP. in how many ways could the group in the tennis activity be chosen?
There are 5 ways you could choose the group in tennis.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
The total no of students is 16,
As there can be only a maximum of 10 students in a group,
If the student in Swimming is 10 then in Tennis it will be 6,
If the student in Swimming is 9 then in Tennis it will be 7,
If the student in Swimming is 8 then in Tennis it will be 8,
If the student in Swimming is 7 then in Tennis it will be 9,
If the student in Swimming is 6 then in Tennis it will be 10,
Therefore, there are 5 ways you could choose the group in tennis.
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Which number has a prime factorization of 2x2x5x5x7x7
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below.
Point Values for Marble Game
Black Marble Points
Red Marble Points
Both black: +2 points Both red: +4 points
Different colors: –1 point Different colors: –1 point
Both red: 0 points Both black: 0 points
If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?
Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one
Answer:
ez
Step-by-step explanation:
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one
Randall purchased a flat screen tv for $1089.the tax rate was 8.75%
Answer:
9528.75
Step-by-step explanation:
1089x8.75, or 1089x8 and 3/4 which is 9528.75
- 2x + 4y = 17
3x - 10y = -3
Answer:
1.-2x+4y=17
if you want me to solve for x : x=-17/2 +2y
If you want me to solve for y: y=17/4+x/2
2. If you want me to solve for x: x=-1+10y/3
If you want me to solve for y: y=3/10+3x/10
3. If you want me to do it all together it would be:
x=-79/4, y=-45/8
Step-by-step explanation:
Find the solution to the system of equations:
7x-8y=-23
7x-7y=-14
Answer:
Solutions: x = 7, y = 9; or (7, 9)
Step-by-step explanation:
Given the following systems of linear equations:
7x - 8y = -23
7x - 7y = -14
Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.
7x - 8y = -23
- 7x - 7y = -14
-y = -9
Divide both sides by -1 to solve for y:
[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]
y = 9
Substitute the value of y into either one of the given equations to solve for x:
7x - 7y = -14
7x - 7(9) = -14
7x - 63 = -14
Add 63 to both sides:
7x - 63 + 63 = -14 + 63
7x = 49
Divide both sides by 7 to solve for x:
[tex]\frac{7x}{7} = \frac{49}{7}[/tex]
x = 7
Double-check whether x = 7 and y = 9 are valid solutions to the given system:
x = 7, y = 9:
7x - 8y = -237(7) - 8(9) = -23
49 - 72 = -23
-23 = -23 (True statement).
7x - 7y = -147(7) - 7(9) = -14
49 - 63 = -14
-14 = -14 (True statement).
Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).