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
please help me find my answer for this I will name brainist.
Answer:
IT's -3.6 & 14.4 so D is the correct answer
Step-by-step explanation:
x= -3.6 y= 14.4
HOW I SOLVED IT
-3.6 x 3 = -10.8 2 x 14.4 = 28.8 - 10.8 = 18 so correct since it must equal to 18
-2/3 x -3.6 =2.4 + 12 = 14.4 so correct since y = 14.4
Brainilest would be appreciated :)
A 190 inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answer:
63.33333333333
Step-by-step explanation:
Write the equation for (-2,3) and (3,-1)
Answer:
y = -4/5x + 7/5
Step-by-step explanation:
Use slope intercept form to find the equation for the line:
y=mx+b
y= -4/5x + 7/5
All items produced in a factory are checked for defects. Of the 300 items checked, 3% were found to be defective. How many of the items are defective?
Answer:
3%×300,=900
900÷100=9
Step-by-step explanation:
answer is 9
Answer:
291
Step-by-step explanation:
no prob
help me please i dont understand
A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a larger tank whose capacity is 2.5 times the volume of the standard model. What is the approximate diameter of this larger tank? Round to the nearest tenth.
Answer:
The approximate diameter of the larger tank is 8.10 meters
Step-by-step explanation:
Here, we want to calculate the diameter of the larger tank
The volume of a sphere
V = 4/3 * π * r^3
Let us calculate the volume of the standard model
That will be;
Since diameter is 6 and r = d/2
r = 6/2 = 3 meters
V = 4/3 * π * 3^3 = 36 π m^3
Now, the volume of the larger tank is 2.5 times of this;
The volume of the larger tank is 2.5 * 36 π = 90 π m^3
So we can calculate the radius of this before we calculate its diameter
4/3 * π * r^3 = 90 π
4r^3/3 = 90
r^3 = 270/4
r^3 = 67.5
r = 3x√(67.5)
r = 4.07 m
Diameter here is 2 times this
= 4.07 * 2 = 8.14
Answer:
8.1
Step-by-step explanation:
Also,How do I factorise these?
x²-49
x²-9
x²-16
Answer:
Step-by-step explanation:
x2 - 49
Both are squares so
Square root (x2) - Square root (49)
= x - 7
The other two answers are x - 3 and x - 4
Answer:
Use the formula (x-a)(x+a)=x^2 - a^2
so what is the square root of 49, 9, and 16? By finding the square root you get a, and you can just plug it into the formula. For example the first one, 7 is the square root of 49. So, (x-7)(x+7)
y=1.9x+2.5 what does this equal
Answer:
x=y+4.4
Step-by-step explanation:
y=1.9x+2.5
y/x=4.4
x=y+4.4
1. 0 f the 320 eighth
grade students at
HNMS, 35% are female.
How many eighth grade
students are male?
Answer:
Step-by-step explanation:
65% of them are male, obviously, but to figure out what 65% of 320 is, you have to do 320*.65. That gets you 208. The answer is 208
Answer:
65/100×320=208males
Step-by-step explanation:
simplify
[tex]( \sqrt{5} )( \sqrt[3]{5} )[/tex]
a. 5 5/6
b. 5 1/6
c. 5 2/3
d. 5 7/6
Answer:
[tex]A.5^{\frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\(\sqrt{5})(\sqrt[3]{5})\\To\ simplify\ the\ given\ expression\ we\ may\ use\ the\ following\ two\\ 'Laws\ Of\ Exponents'.\\1.\sqrt[n]{a}=a^{\frac{1}{n}}\\2.m^a*m^b=m^{(a+b)}\\With\ these\ two\ equations\ we\ can\ proceed\ with\ our\ problem:\\Hence\ following\ Law\ 1,\\\sqrt{5}=5^{\frac{1}{2}} \\\sqrt[3]{5}=5^{\frac{1}{3}}\\Hence,\\\sqrt{5}*\sqrt[3]{5}=5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Hence,\\5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Now,\ by\ using\ Law\ 2,\\[/tex]
[tex]5^{(\frac{1}{2}+\frac{1}{3})}\\=5^{(\frac{3+2}{6})}\\=5^{\frac{5}{6}}\\[/tex]
Micah who is not yet 15 years old, is two years older than DeMonte.
How old is DeMonte?
x = the age of Micah
y = the age of DeMonte
Answer:
DeMonte is 12
Step-by-step explanation:
If Micah is not yet 15 than he is 14 so 14 - 2 is 12 since DeMonte is two years younger than Micah.
v=u + at
u= 2
a= -5
t = 1/2
Work out the value of v.
Answer:
V= -1/2
Step-by-step explanation:
You would have to add U+AT to get V
If A=-5 and T=1/2, then -5*1/2= -2.5 (A*T)
Then, adding U (which is 2), gives -.5, or -1/2
Some pencils are to be shared between Grade 7, Grade 8 and Grade 9 students in the
ratio 3:5:6 respectively. If Grade 8 students receive 196 more than Grade 7 students, find
the total number of pencils shared.
Answer:
1312
Step-by-step explanation:
if grade 8 has 196 more, that means 196 represents two cause 5 is 2 more than 3, so then you divide 196 in half to get 98, then add 196 and 98, so grade 7 gets 294 pencils, the to find how many for grade 8 you take 294 plus 196 and get 460 so grade 8 gets 460, and for grade 9 you add 460 and 98 to get 558, then just add, 294, 460, and 558 and you get 1312. hope this helps
ASAP someone please help me step by step so I can understand it better please
Answer:
Y=6
Step-by-step explanation:
help me please I'll mark first answer Brainliest
Answer:
a. True
b. True
c. True
d. False
e. False
I hope this helped! Thank You!
Answer:
a. False
b. True
c. True
d. False
e. False
Shen and David each washed a car.
• Shen spent 5 minutes washing his car for every 2
• Each boy started washing his car at 4:00 4.
• David finished washing his car at 4:30 PM.
At what time did Shen finish washing his car?
Step-by-step explanation:
Shen time= 5 min (David time/2 minutes)
David time= 4:30-4:00= 30 minutes
Shren time=5(30/2)=5(15)= 75 minutes
1. The price of the video game was $60.00. Thelprice was reduced by 25%. What was the sale price of the video game? A $15.00 B. $25.00 C. $45.00 D. $75.00
Answer:
The answer is A. $15.00
Step-by-step explanation:
Take 25% of 60 and that is 15. Please give me brainliest
Answer:
$45.00
Step-by-step explanation:
To find percentage, most start out by dividing the percent by 100:
25 ÷ 100 = 0.25
Then, to find the percentage of 60, we multiply them.
$60 x 0.25 = $15
15 is 25% of 60. However, we're asking the sale price of the video game, not the amount it was reduced. To find this out we subtract the reduced amount from the original number:
$60 - $15 = $45
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Ms. Holmes decided to water her plants. She had 2 1/2 gallons of water. She gave each plant 1/4 gallon of water. Which expression could be used to determine how many plants Ms. Holmes had?
Answer:
division
Step-by-step explanation:
i got it right on my test
two supplementary angles are in a ratio of 7:11. find the measures of each angle
Answer:
70° and 110°
Step-by-step explanation:
Supplementary angles sum to 180°
sum the parts of the ratio, 7 + 11 = 18 parts
Divide 180° by 18 to find the value of one part of the ratio.
180° ÷ 18 = 10° ← value of 1 part, thus
7 parts = 7 × 10° = 70°
11 parts = 11 × 10° = 110°
The 2 angles are 70° and 110°
PLEASE PLEASE PLEASE HELP ME ASAPPPP THANK YOU BRAINLY IF CORRECTTT
Article Il of the U.S. Constitution gives the president the power to:
A. issue executive orders.
B. appoint executive department leaders.
C. impeach leaders in Congress.
D. reject Supreme Court appointments.
Answer:
A
Step-by-step explanation:
the president can order the military basically
Answer:
A. Issue executive orders
Step-by-step explanation:
Article II Section I states that executive power will be invested in the president during his four year term. Meaning he has the power to issue executive orders.
Time (econds)
8. The table shows a person's annual
salary y (in thousands of dollars) after x
years of education beyond high school.
What is the annual salary,
Years of
of the person after Education Salas
8 years of education
beyond high school?
Annual
Answer:
76 the pattern goes in 12s every two years
Step-by-step explanation:
64 plus 12 is 76
BRO CAN ONE PERSON HELP ME WITH THIS QUESTION THIS IS MY LAST QUESTION ON THIS GD TEST PLZ I'LL GIVE BRAINLIEST IF YOU ANSWER RIGHT AND HAVE AN EXPLAINATION.
Solve C=59(F−32) for F
Answer:
F = C/59 + 32
Step-by-step explanation:
the perimeter of a rectangle is 8x+10.if the length is 2x+8 what is the width?
Answer:
6x+2
Step-by-step explanation:
Answer:combine your like terms and solve to get the width .
Step-by-step explanation:
Need answers immediately, thank you in advance!
Step-by-step explanation:
this is the answer...............
Emma is 10 years old. She asked her father how old he was. Her father answered: "When you will be my age, I will be 70." How old is Emma's father?
Answer:
Emmas father would be 40 years old
Step-by-step explanation:
if the father is 40 years old right now emma will be his age in 30 years.
in 30 years emma will be as old as he was when she was ten (10+30=40)
after the 30 years emmas father who was once 40 years when she asked how old he was would be 70 years old (30+40=70)
He is 40 years old.
Equation: (f+e)/2 = father's age. Here f=70 and e=10.
So, (70+10)/2 = 80/2 = 40.
Solution can be wrong. But answer is right. Answer is definitely 40 years old
6. The measures of two angles are (4x + 19) and (7x -29)°. What is the value of x if
these angles are congruent?
Answer:
The value of x is 16
Step-by-step explanation:
Given two angles are:
(4x + 19) and (7x -29)°
Two angles being congruent means that their numerical values will be equal
Putting both expressions equal
[tex]4x+19 = 7x-29[/tex]
Subtracting 7x from both sides
[tex]4x+19-7x = 7x-29-7x\\-3x+19 = -29[/tex]
subtracting 19 from both sides
[tex]-3x+19-19 = -29-19\\-3x = -48[/tex]
Dividing both sides by -3
[tex]\frac{-3x}{-3} = \frac{-48}{-3}\\x = 16[/tex]
Hence,
The value of x is 16
Here is a list of numbers:
6, 16, 6, 18, 16, 3, 8 ,9 ,6
State the median.
Answer:
8
Step-by-step explanation:
You have to list the numbers in the correct order then fond the one that falls in the middle, if there are 2 numbers that fall in the middle, then you add those 2 then divide by 2.
Hope it helps! Merry Christmas!
Answer:
8
Step-by-step explanation:
Arrange the set of numbers from least to greatest:
3,6,6,6,8,9,16,16,18
Start from both ends and cross them off until you're left with just one.
6,6,6,8,9,16,16
6,6,8,9,16
6,8,9
8
The median is 8 because that's what you're left with.
Henry saw 28 blue, 16 red and 24 white cars drive by his house in 1 hour. What percent of the cars were blue? (Round answer to the nearest percent)
A. 24%
B. 65%
C. 41%
D. 35%
Answer:
C
Step-by-step explanation:
The percentage is calculated as
% = [tex]\frac{blue}{total}[/tex] × 100%
Total number of cars = 28 + 16 + 24 = 68
number of blue cars = 28, then
% blue = [tex]\frac{28}{68}[/tex] × 100% = 41% ( to the nearest percent )
Please help asap! Please don’t get it wrong! xoxo
Answer:
Its B
Step-by-step explanation:
Answer:
square root of 130
Step-by-step explanation:
9^2+7^2=c^2
81+49=c^2
130=c^2
C= square root of 130
8-4x>4-2x solve inequality if u can pls make number line
Answer:
Step-by-step explanation:
-4x>8
x<-2
-4>-2x
8<x
8<x<-2