2. What is the solution to the equation
1/2x + 3/2(x+1) - 1/4=5?
The answer to this question is
x=15/8
1/2x+3/2(x+1)-1/4=5
1/2x+3/2(x+1)-1/4=5
(1/2x+3/2x)+3/2-(1/4)=5
4/2x+3/2-(1/4)=5
4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)
4/2x+0=5-(3/2–1/4)
2x=5-(6/4–1/4)
2x=5-(5/4)
2x=3 3/4
2x/2=(3 3/4)/2
x=15/4(1/2)
x=15/8
1/2x+3/2(x+1)-1/4=5 (Expand the polynomial)
(1/2x+3/2x)+3/2-(1/4)=5
4/2x+3/2-(1/4)=5
4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)
4/2x+0=5-(3/2–1/4) (Express the fractions on the right side of the equation in the common denominator 4)
2x=5-(6/4–1/4)
2x=5-(5/4)
2x=3 3/4
2x/2=(3 3/4)/2
x=15/4(1/2)
x=
15/8 or 1 7/8 as a mixed fraction or 1.875 as a decimal numeral
PROOF
If x=15/8, then the inverse of the equation 1/2x+3/2(x+1)-1/4=5 returns
2x+(6/4–1/4)=5
2(15/8)+(6/4–1/4)=5
15/4+(5/4)=5
(15+5)/4=5
20/4=5 and
5=5 proves the root (zero) x=15/8 of the statement 1/2x+3/2(x+1)-1/4=5
C.H.
1/2x+3/2(x+1) --1/4=5
1/2 (1/x+3/ (x+1) =5+1/4
1/x + 3/x+1 =(5+1/4) ×2/1
x+ 1 +3x /x (x+1) = 10+1/2 =21/2
4x+1 = 21/2 [x^2+x]
8x+2= 21x^2+21x
21x^2 +-13 x -2 =0
a =21 b= 13 c= -2
X= [13 + -- (169 -- 4×21× -2)^1/2 ] /2×21
=[13 + - ( 169 + 168 )^1/2] /2×21
Discriminat =169+168=337 >0
Kiesha and her classmates wrote proportions for the reduction of a triangle.
A larger and smaller triangle have corresponding heights and bases.
Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Answer: A, B, and D are correct!
Step-by-step explanation:
Hope this helps! :)
The three proportions that are set up correctly for the reduction of a triangle are:
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Options 1, 2, and 3 are correct.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The three proportions that are set up correctly for the reduction of a triangle are:
1)
original height / original base = reduction height / reduction base
This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.
2)
original height / reduction height = original base / reduction base
This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.
3)
original height / reduction base = reduction height / original base
This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.
Thus,
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
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double checking
i think a and h but not sure
Answer:
C and G
Step-by-step explanation:
You have two lines intersected by a transversal. The transversal is labeled t. The other two lines are "the two lines".
Corresponding angles must be both on the same side of the transversal and they must be either both above the two lines or both below the two lines.
All 4 pairs of corresponding angles in this figure are listed below:
a, e
c, g
b, f
d, h
The only one of those pairs in the choices is c, g
Answer: C and G
Twenty (20) is what percent of 10% of 4,000?
Answer:
400
Step-by-step explanation:
Answer:
5%
Step-by-step explanation:
thank you for your help :) really appreciate! Here’s the new one
Answer:
8 units
Step-by-step explanation:
The two squares have equal areas.
For each square:
area = 32 units^2
For a square:
area = side^2
side^2 = 32
side = sqrt(32)
For the two squares, the length of the side is sqrt(32).
The sides of the squares are the legs of the right triangle.
a^2 + b^2 = c^2
(sqrt(32))^2 + (sqrt(32))^2 = x^2
32 + 32 = x^2
x^2 = 64
x = 8
Answer: 8 units
Answer
8 units
Explanation
The side of one of the squares is the same length as one of the legs on the triangle.
To find one side of the square, you need to find the square root, because to find the area of a square, you need to square the sides. To find one side, you do the opposite.
So the length of one side is the square root of 32.
Now don't worry that this is a weird number (which is 5.656854249...) because we'll be squaring it again.
The length of one side of the square is the leg of a right triangle.
To find the hypotenuse (or the longest side), you need to use the Pythagorean theorem.
[tex]l^{2} + l^{2} = h^{2}[/tex]
The square root of 32 squared is 32.
[tex]32+32=h^{2}[/tex]
[tex]64=h^{2}[/tex]
To find h, you need to find the square root. The square root of 64 is 8.
Therefore, the length of x is 8 units.
Helppppppppp!!
A bird goes from a lower location to a higher location at a
rate of 2 meters per second. Which equation models the change in the bird's position at 90 seconds?
A. 90.2 = 180
B. 90(-2) = -180
C. (-90)(-2) = -180
D. 90(-2) = 180
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
It is proven mathematically
14 POINTS PLEASE HELP !!
The model represents a polynomial of the form ax^2 + box + c
which equation is represented in the model?
- 3x^2 - 4x - 1 = (3x + 1) (x -1)
- 3x^2 - 2x - 1 = (3x - 1 ) ( x - 1 )
- 3x^2 - 4x + 1 = (3x - 1 ) (x - 1 )
- 3x^2 - 2x + 1 = (3x - 1 ) (x - 1 )
Answer: C
Step-by-step explanation:
i just know
help lol! the explanation is on the bottom!!
Answer:
1 =80
2 =100
3 =80
4 =100
6 = 100
7 =80
8 =100
Step-by-step explanation: since 5 and 7 are the same, if u slide the bottom up to the top, 1 and 3 would be the same as 5 and 7
2,4,6,and 8 are 180-80 which equals 100
Answer:
1, 3, 5, 7 = 80°
2, 4, 6, 8 = 100°
Step-by-step explanation:
1, 3, 5, and 7 are congruent to each other
2, 4, 6 and 8 are congruent to each other
1 + 2 + 3 + 4 = 360°
80° + x + 80° + x = 360°
160° + 2x = 360°
2x = 360° - 160°
2x/2 = 200°
x = 100°
I need help please!!!!
HELP ME PLSS,, I need help
Answer:
$100 per deposit
Step-by-step explanation:
Answer:
It is very simple all you have to do is take the first two points and figure how far they are apart from each other. Well from 250 to 150 is 100 so every deposit they put 100 dollars in so the answer is.
$100 dollars deposit
Please help.
write a compound inequality that represents the fahrenheit temperatures between 50 degrees celsius and 70 degrees celsius.
Help????? Pls?????????
Answer:
20 men in the dance recital.
Step-by-step explanation:
tt
Please I beg you help me I will mark you brainliest
Answer:
Best answer would be D
Step-by-step explanation:
For A, the statement is only true with x as 1
For B, other values for x can make the equation wrong
And for C, it's just wrong.
lisa sets a weekly goal of jogging 18 miles. after 3 days she has jogged 6 5/8 miles. How many more miles must she jog to reach her goal ?
choices:
11 5/8
12 3/8
11 3/8
12 5/8
PLEASSE HELP BFKDEK
Answer: 11 3/8
18 - 6 5/8 = 11 3/8
triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?
Answer:
idek
Step-by-step explanation:
3v - 10 = -14 what is the answer
Answer:
v= -3/4
Step-by-step explanation:
i think that's the answer djxndnxnnx
Answer:
3v=-14 +10
3v=-4
v= - 4/3
Please mark as brainliest
2 2/9 +1 4/9 please help
Answer:
3 2/3
Step-by-step explanation:
In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:
2 2/9 +1 4/9
3 6/9
simplify
3 2/3
what’s the percentage help me please
Rick has a piece of lumber that is 12 feet long. He cuts it into pieces that are each 3/4 of a foot long. How many pieces of 3/4 foot lumber will he be able to make?
Answer:
He will be able to make 16 pieces of lumber
Step-by-step explanation:
Find the percent change from 75 to 24.
212.5%
The percentage increase from 24 to 75 is 212.5%.
solve the following using factoring x²+12=7×
Answer:
(x-4)(x-3)
Step-by-step explanation:
x^2+12=7x move the 7x to the other side
x^2-7x+12
(x-4)(x-3)
Write 0.115 as a fraction
Answer:
23/200
Step-by-step explanation: all you have to do is divide it lol
Answer:
23/200~ as simplified, 115/1000~ not simplified
Step-by-step explanation:
115/1000= 23/200
Hope this helps ∞<3
Which of the following graphs represents a relation that is not a function?
Answer:
Even though you only uploader one pic I think that is the answer
Because that is a Zero slope wich means it has no function that would be the anser
Step-by-step explanation:
How could you find the product 19. 14 in your head?
I need the answer ASAP
Answer:
like this do 4x9 4x1 then move down and add a zero then do 1x9 1x1 and then add 76 +190 and get 266 all in your head.
Step-by-step explanation:
19
x 14
_______
76
+ 190
______
266
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answer:
Yes
Step-by-step explanation:
I would say yes, x is multiplied by itself to get an answer for y.
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliestttt !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D {36,47,60}
Step-by-step explanation:
it would have to be {37,48,60} for it to be a right triangle
hope this helps you out
HELP!! (Picture included)
Answer:
Wednesday
Step-by-step explanation:
Monday- ~5.6 as a decimal
Tuesday- 5.625 as a decimal
Wednesday- 5.375 as a decimal
Thursday- 5.8 as a decimal
therefore, Mrs.Mayes worked the least on Wednesday. Also she needs some break
Answer:
Wednesday
Step-by-step explanation:
For each of the fractions you can put them into decimals. Wednesday had the lowest decimal at 5.37
b
-
27 =43
I would really appreciate your help
Answer:
B = 70
Step-by-step explanation:
Answer:70
Step-by-step explanation:
Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8
Answer:
D: 5:2
Step-by-step explanation:
40:16 simplified is 5:2
The simplest form of the ratio 40:16 is 5:2.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).
First, let's find the GCF of 40 and 16.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The factors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 8.
Therefore, the GCF of 40 and 16 is 8.
To simplify the ratio, we divide both terms by 8:
40 ÷ 8 = 5
16 ÷ 8 = 2
Thus,
The simplest form of the ratio 40:16 is 5:2.
Learn more about ratios here:
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test corrections....