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
I WILL GIVE YOU BRAINLIEST, A THANK YOU, AND 5 STARS PLEASE ANSWER
Angelica took a math test and got 14 out of 15 problems correct. What percent of the problems did she get correct? (round to the nearest hundredth)
the mean of 30 numbers is 150.it was detected on rechecking that one value of 165 was wrongly copied as 135.find the correct mean
Answer:
151
Step-by-step explanation:
m=150cm
n=30
new mean =(m*n+165-135)/n
=(150*30+165-135)/30
=(4500+30)/30
=4530/30
=453/3
=151
therefore
correct mean =151
Hope this helps :D
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
What is Abigail’s greatest possible age?
Give your answer as a whole number of years.
Answer:i i think Brenda 10
Step-by-step explanation:
Age problems are the algebra word problem which deals with the ages of people in the present time.
Given information-
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
Age problemsAge problems are the algebra word problem which deals with the ages of people in the present time.
Suppose Abigail is A, Brenda is B and Carly is C years old.
As Abigail is 5 years older than Brenda. Thus,
[tex] A=B+5[/tex] .... 1
As Brenda is twice as old as Carly. Thus,
[tex]C=\dfrac{B}{2} [/tex] ..... 2
As the total of their ages is less than 40.
[tex]A+B+C=40[/tex]
Keep the values of A and C from the equation 1 and 2 in the above equation,
[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]
Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,
[tex]A=14+5\\ A=19[/tex]
Thus the Abigail is 19 year old.
Learn more about the age related problem here;
https://brainly.com/question/91727
Which graph represents the function below? (The first pic is the function, the others are the graph choices given)
Answer:
The First Graph
Step-by-step explanation:
The -x line is present in both the first and last graph.
The x + 6 is present in the first and second graph.
The slope is increasing before -3
The slope past -3 is decreasing.
On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?
Answer:
x=2
2 games.
Step-by-step explanation:
3 + 4.50x = A
6 + 3x = A
3 + 4.5(2) = 12
6 + 3(2) = 12
what is 1+1, please answer
Answer:
Your answer is 2.
Step-by-step explanation:
You use the normal way of adition.
1
+1
___
2.
Hope this helps!
Shelly is hiking alongs a 20 miles trail in the mountains. She had already traveled 8 miles and is walking at 3 miles per hour. How long will it take to reach the end of the trail
Write and equation with x as the number of hours it will take to reach the end.
How many hours will it take for Shelly to reach the end of the hiking trail?
Answer:
8+3x=20
4 hours
Step-by-step explanation:
8+3x=20
3x=12
x=4
FG is the geometric mean of which two segments
Answer:
EG and GH
Step-by-step explanation:
FG is the geometric mean of EG and GH segments.
FG is the geometric mean of EG and GH by using the Right triangle altitude theorem.
Important information:
The given figure of a triangle EFH.Right triangle altitude theorem:According to the Right triangle altitude theorem, if an altitude is drawn on the hypotenuse of a right triangle, then the altitude of a right triangle is the geometric mean of the two segments of the hypotenuse.
From the given figure it is clear that,
Triangle EFH is a right triangle because angle F is a right angle.FG is the altitude on the hypotenuse.Two segments of the hypotenuse are EG and GH.Using the Right triangle altitude theorem, we get FG is the geometric mean of EG and GH.
Find out more about 'Right triangle altitude theorem' here
https://brainly.com/question/14357999
Simplify the expression.
StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction
Answer:
5.1
Step-by-step explanation:
solve the system using substitution.
2x + 2y = 30
y - 4x = 0
( _ , _ )
Answer:
x = 3
y= 12
Step-by-step explanation:
2x + 2y = 30
y - 4x = 0 /*2
2x + 2y = 30
2y - 8x = 0
-----------------
10x = 30
x = 3
y= 12
Answer:
( 3 , 12 )
Step-by-step explanation:
2x + 2y = 30 and y - 4x = 0 are two given equation
Name The equation
2x + 2y = 30 ...(1)
y - 4x = 0
y = 4x ...(2)
Now, Put the value of y in equation 1
2x + 2y = 30
2x + 2(4x) = 30
2x + 8x = 30
10x = 30
x = 30/10
x = 3
Now,
Put the value of x in equation 2
y = 4x
y = 4(3)
y = 12
Thus, The value of x is 3 and the value of y is 12
FOR VERIFICATION ONLY:-2x + 2y = 30 ...(1)
2(3) + 2(12) = 30
6 + 24 = 30
30 = 30
y = 4x ...(2)
12 = 4(3)
12 = 12
Hence, L.H.S = R.H.S
-TheUnknownScientist
Simplify
2x( x^3-3x^2+5x-8)
Answer: =2x^4−6x^3+10x^2−16x
Step-by-step explanation:
one factor of 8x^3+1 is 2x+1 The other factor is?
Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?
b. If the sales tax is 6%, how much wil Veronica pay for the jeans after the discount and
taxes?
Answer:
a- $37.50
b- $39.75
Step-by-step explanation:
Hope this helped!
Answer:
a) 37.5
b) 39.75
Step-by-step explanation:
a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5
b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75
I need help on another question, it keeps saying 7x-7 is wrong.
Step-by-step explanation:
y = 7x + 1
Slope - Intercept Form
What is the answer for this
Answer:
the product of 5 and a number
Step-by-step explanation:
product is the result of a multiplication problem
5c is the same as 5 times c
we don’t write an x (5xc) because x is sometimes used as a “placeholder” instead of c
Two customers went to the post office to buy postcards and large envelopes. Each postcard costs the same amount and each large envelope costs the same amount.
● The first customer paid $12 for 14 postcards and 5 large envelopes.
● The second customer paid $24.80 for 10 postcards and 15 large envelopes.
What was the cost in dollars of each large envelope?
1. $1.42
2. $1.15
3. $0.63
Answer:
The first one $1.42
Step-by-step explanation:
1.42x5=7.1 (cost of all envelopes)
12-7.1=4.9
4.9/14=0.35 (one postcard)
10 postcards= 3.5
1.42x15=21.3 (cost of all envelopes)
3.5+21.3=$24.80
Question 18
1 pts
If JKLM is an isosceles trapezoid, solve for x.
(8x – 23)
(6x + 11)°
M
L
HELPPP
Answer:
Step-by-step explanation:
J and K are equal
8x - 23 = 6x + 11 Add 23 to both sides
8x = 6x + 11 + 23 Combine the right
8x = 6x + 34 Subtract 6x from both sides
8x - 6x = 34 Combine the left
2x = 34 Divide by 2
x = 34/2
x = 17
=================================
M and L are both supplementary to J and K respectively.
J = 8x - 23
J = 8*17 - 23
J = 136-23
J = 113
K = 113
===================================
M + 113 = 180
M = 180 - 113
M = 67
L = 67
evaluating reports , help me please ...
4/5 divided by 2/3 PLEASE HELP
Answer:
6/5
Step-by-step explanation:
4/5 x 3/2 = 12/10 = 6/5
Billy's Bagels sells bagels and sandwiches. The profit on every bagel is $2 and the profit on every sandwich is $3. Billy made a profit of $1,560 last week.
a. Write an equation in a standard form that represents Billy's profits last week, where x is the number of bagels sold and y is the number of sandwiches sold.
b. Change the equation for Billy's profit to slope-intercept form.
c. Write the equation in function notation. HELP!!
Answer:
a. 2x + 3y = 1560
b. y = -2x/3 + 520
c. f(x) = -2x/3 + 520
Step-by-step explanation:
a. We are told that the profit on each Bagel is $2 for x bagels and $3 for each sandwich is $3
for a total of y sandwiches
So we have;
2x + 3y = 1560
b. Slope intercept form is generally
y = mx + b
So we have
3y = -2x + 1560
y = -2x/3 + 520
c. In function notation;
f(x) = -2x/3 + 520
PLZ HELP ITS URGENT!!! Which of the following represents the value of the series below? Also maybe if possible, could you please add an explanation?
Answer:
first one
Step-by-step explanation:
the sum of (9k-4) =3542
so it will be the first one because
28((5+248)/2)=3542
Answer:
a
Step-by-step explanation:
cuz i milk da cows homie, all fo my edge brothas, no cap on jaw, j keepin it real fo yall homies
In the number 3,591,367 what does the 9 represent
What is the significance of the number 9?
Number 9 is perceived as a symbol of love and faith, but it can also symbolize karma and the spiritual laws of the universe. Receiving this number means that your life purpose may be helping other people and doing something good for others.
Answer
The nine is in the ten thousands place so it represents 90 thousand
Step-by-step explanation:
Mackenzie built the small lego set it cost $5.49 Caleb built the large lego set how much do you think the large lego set cost
Answer:
Since there is no available data for the Lego set, it is safe to assume that the cost would be definitely higher than the small Lego set built by Mackenzie. For example, if the dimension of the small Lego set is 50 X 30 X 6 (length X breadth X height all in cm ) which cost Mackenzie $5.49.
On the other-hand, let assume that, the large Lego set built by Caleb is twice that of Mackenzie Lego set (that is 100 X 60 X 12 ), it could be found that, the cost for the large Lego set would cost minimum of $10.98
Step-by-step explanation:
Gavin bakes 70 cookies in an hour.How many cookies can he bake in 4hours
Answer: 280 cookies
Step-by-step explanation:
The following could be the shape of a cross section of the prism Except: A.) rectangle. A.) parallelogram. C.) circle. D.) square. Brainly
67°
15
h
b
What is the area
Answer:
1005
Step-by-step explanation:
Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005
-2.5f + 0.2f - 13 - 8
Answer:
2.3f - 21
Step-by-step explanation:
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOID ANSWER....
Answer:
x = 36
y = 37.95
Step-by-step explanation:
By geometric mean property:
[tex] {12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\ [/tex]
By Pythagoras Theorem:
[tex] {y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95[/tex]
Amanda Sabino's taxable income is $20,900 . Use this table below to find out how much she'll pay in state tax
Answer:
is that a test huh
is that a test
Step-by-step explanation:
Hideki buys 2 sweaters for $18 each. He can use one of the following coupons:
Coupon 1: Buy one, get one 40% off
Coupon 2: 25% off entire purchase
Which coupon should Hideki use to get a better deal? Use the drop-down menus to show and explain your answer.
Choose...
is a better deal. Coupon 1 would result in a total cost of
Choose...
. Coupon 2 would result in a total cost of
Choose...
.
Answer:
Choose... Coupon 2
Coupon 2 is a better deal becausse Coupon 1 would result in a total cost of $25.2
Coupon 2 would result in a total cost of $6.5
Choose Coupon 2
Step-by-step explanation:
Coupon 1: 18+(18x0.4) =
Coupon 2: 18+18=26 26x0.25=6.5
Answer:
Coupon 2
Step-by-step explanation: