Answer:
1) [tex]\frac{x+3}{2x-5}=\frac{3}{2}[/tex] (x ≠ 2,5)
=> 2(x + 3) = 3(2x - 5)
⇔ 2x + 6 = 6x - 15
⇔ 4x = 6 + 15
⇔ 4x = 21
⇔ x = 5,25
2) [tex]\frac{5y-2}{2y+8}=\frac{5}{6}[/tex] (y ≠ -4)
⇒6( 5y - 2) = 5(2y + 8)
⇔30y - 12 = 10y + 40
⇔ 20y = 52
⇔ y = 2,6
3) the denominator of the rational number is x (x ≠ 0)
because the denominator is greater than the numerator by 6
=> the numerator is x - 6
If the numerator is decreased by 1 and the denominator increased
by 1 , the number obtained is 1/3. so we have:
[tex]\frac{x-7}{x+1}=\frac{1}{3}[/tex]
⇒ 3(x - 7) = x + 1
⇔ 3x - 21 = x + 1
⇔ 2x = 22
⇔ x = 11
with x = 11 => the rational number is 5/11
4) the number we need to find is ab (a ≠ 0)
because Sum of the digits of this number is 8
=> a + b = 8 (*)
When we interchange the digits , it is found that the resulting new number is less than the original number by 18, we have:
ab - ba = 18
⇔ 10a + b - (10b + a) = 18
⇔ 9( a - b) = 18
⇔ a - b = 2 (**)
(*)(**) => a + b = 8
a - b = 2
=> a = 5
b = 3
=> the original number is 53
5) the present Arjun's age is x (years old)( x, y E N*)
the present Shriya's age is y
because now, Arjun is twice as old as Shriya => x = 2y
Five years ago, his age was three times Shriya’s age, we have:
=> x - 5 = 3(y - 5)
⇔ x - 5 = 3y - 15
⇔ 3y - x = 10
but x = 2y => y = 10
=> x = 20
so now, Arjun is 20 years old, Shriya is 10 years old
Step-by-step explanation:
Simplify the following expression:
2x − 8y + 3x2 + 7y − 12x
Question options:
3x2 − 14x − y
3x2 − 10x − y
3x2 − 10x − 15y
3x2 + 10x − y
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
Evaluate 3x when x = -8.
x = -8
3x = 3 · (-8) = -24
.......
_______is the process of paying off a debt with regular fixed payments.
How many integers have absolute value equal to 3
Answer:
There are 2 integers, which absolute value are 3. -3 and 3 itself
Step-by-step explanation:
|-3| = 3 and |3| = 3 to
Answer:
2 integers at a time will be able to have the same absolute value. This is because integer can be both positive and negative, while absolute value always remains positive:
The absolute value of both 2 and (-2) is 2.
Generalize Use words to describe the following sequence. Then find
the next three numbers in the sequence.
49, 64, 81, 100, ...
...
HELP. PLZ. SOMEONE.
What’s 3-5*2x+79/ 3 12/14 =
Answer: −10x+23 13/27
Step-by-step explanation: -(5)(2x) -10x 3+79/ 3 12/14 3+ 79 / 3 6 /7 3+ 79 / 27 /7 3+ 553 /27 634 /27 23 13 /27 −10x+23 13/27
Solve each equation. Be sure to check for extraneous solutions 53=5|p-4|+8
if A=x² +xy-6, B=6xy-2x² +1 and C= 3x² +7 -3xy,find :(i) A+B+C (ii)A-B+C (iii)A+B-C
Answer:
Step-by-step explanation:
if you put it in on your phone there is a tab for that
find the measure of the angle that is 12° more than two times its supplement
Answer:
56 and 124
Step-by-step explanation:
Sum of two supplementary angle = 180
Let the first angle be x
Second angle = 2x + 12
2x + 12 + x = 180
3x + 12 = 180
3x = 180 - 12
3x = 168
x = 168/3
x = 56
2x + 12
2(56) + 12
112 + 12
124
Evaluate using inverse operations...
9x + 8 = 27
Answer:
9x+8=27
9x=27_8
9x=19
9 9
x=2.111111111111
Answer:
2.111
Step-by-step explanation:
27-8=19
9x÷19
x=2.1111
(20 points)I need help please
[tex]\text{Suppose the width of the rectangle is }x\text{ cm}[/tex]
[tex]\text{then the perimeter can be expressed as}[/tex]
[tex]2(24+x)=72[/tex]
[tex]24+x=36[/tex]
[tex]x=12[/tex]
[tex]\text{Therefore the area of the rectangle is }24\cdot x=24\cdot 12=288\text{ cm}{}^2[/tex]
Answer: Solution,
length (l) = 24 cm
perimeter (p)= 74 cm
Area (A) = ?
we know,
P = 2(l + b )
74 = 2( 24 + b)
74 = 48 + 2b
2b = 74 - 48
2b = 26
b= [tex]\frac{26}{2}[/tex]
b = 13
now,
A = l*b
= 24 * 13
= 312 cm square
Therefore, the area of the rectangle is 312 cm square.
The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free throws, find how many free throws she attempted.
a. 3 free throws
b. 7 free throws
c. 21 free throws
d. 4 free throws
Answer:
well for Evey 4 completed throws she takes 7 throws
with this ratio we get that;
it's 4:7
there fore
for 12 completed free throws she would take 21 free throws
option c is the answer
hope it's helpful
Answer:
21
Step-by-step explanation:
FreeThrows: FT
Attempted Throws: AT
FT/AT=4/7
12/AT=4/7
84/4=AT
AT=21
two billion,twenty million,five hundred thousand,nine hundred
In number form
Answer:
the answer = 2,020,500,900
Which graph represents the solution set to the system of inequalities?
{ y<−1/2x+2
y≥−3/2x+2
Answer:
The answer must be B because the rest are not possible.
Step-by-step explanation:
The function y=2.5x+3 can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles
A. $3
B. $1
C. $2.50
D. $5.50
Answer:
C. $2.50
Step-by-step explanation:
x=1 y=5.5
x=2 y=2.5
Answer:
y=2.5x+3Compare to slope intercept form y=mx+b
Slope=m=2.5y intercept=b=3Sl
Here the rate of change is $2.50
PLEASE HELP.I WILL MARK YOU BRAINLIEST
A baseball team won 16 games and lost 11. At this rate, how many games will it win in a 162-game schedule?
==========================================================
Explanation:
The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.
Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.
Solve for x.
x/162 = 16/27
27x = 162*16 ... cross multiplication
27x = 2592
x = 2592/27
x = 96
The team would win 96 games if it kept the same winning rate going.
Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.
-------------------------
Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.
w = number of games won over the entire 162 game season
162-w = number of games lost over the entire season
w/(162-w) = win to loss ratio
16/11 = win to loss ratio after winning 16 games and losing 11
Setting those last two expressions equal to each other and solving for w gets us...
w/(162-w) = 16/11
11w = 16(162-w)
11w = 2592-16w
11w+16w = 2592
27w = 2592 ... this hopefully looks a bit familiar from before
w = 2592/27
w = 96 games won
tan(x+22)= -[tex]\sqrt{3}\\[/tex]
Answer:
what tye of question is it you don't know asking queastio
How do you find the slope of (-2,-2) and (4,1) the line passing through the points
how to convert quinary into binary numbers
Answer:
Step-by-step explanation:
how to convert quinary into binary numbers?
If this means x in base 5 is equal to y in base 2
You just have to divide in base 5 by 2
Let's take an example.
[tex](14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\[/tex]
[tex]Read\ from\ down\ to\ up ==> 1001\\\\[/tex]
[tex]Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\[/tex]
[tex]in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\[/tex]
[tex]So\ (14)_5=(1001)_2\\[/tex]
Hanks pickup can travel 45 miles on 3 gallons of gas. How many gallons will Hanks pickup need to travel 30 miles?
We have an algebra problem.
We will find that Hank's pickup needs 2 gallons of gas to travel 30 miles.
The information given is:
The pickup can travel 45 miles on 3 gallons of gas.
To find the number of miles that the pickup can travel per gallon of gas, we need to find the quotient between the amount that he travels (45 miles) and the amount of gas that he uses (3 gallons)
This is:
r = (45 miles)/(3 gallons) = 15 miles/gallon.
Now that we know this, the number of gallons needed to travel 30 miles is given by:
N = (30 miles)/(15 miles/gallon) = 2 gallons.
N = 2 gallons.
The pickup needs 2 gallons to travel 30 miles.
If you want to learn more, you can read:
https://brainly.com/question/926748
if f(x)=4x-5 what is the value of f(2)
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Value of Polynomial :The value of a polynomial p(x) or f(x) at x = α is obtained by putting x = α in p(x) or f(x) and it is denoted by p(α) ...!
Required Solution :Let f(x) = 4x - 5
⇒f(2) = 4(2) - 5
= 4 × 2 - 5
= 8 - 5
= 3
Hence, If f(x) = 4x-5 then the value of f(2) will be 3 ...!
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
Answer:
f(2) = 3Step-by-step explanation:
f(x) = 4x-5f(2) = (4×2)-5f(2) = 8-5f(2) = 3HOPE THIS HELPS YOU......Inga is playing poker with some friends.
Let p represent the statement "Inga has two aces in her hand." Let q represent the statement "Inga has a full house." [Note, a "full house" is a specific type of hand in the game of poker.]
Which symbolic form represents the English sentence "Inga has either two aces in her hand or she has a full house."?
Group of answer choices
Symbolic form involves using symbols to represent statements. The symbolic form of the given sentence is p v q
Given that:
[tex]p \to[/tex] "Inga has two aces in her hand."
[tex]q \to[/tex] "Inga has a full house."
The given sentence "Inga has either two aces in her hand or she has a full house." can be represented as:
Either p or q
In symbolic form, either/or is represented as: v
So, the representation of either p or q is: p v q
Read more about symbolic forms at:
https://brainly.com/question/17042406
Use partial products and the distributive property to calculate the product. Use paper to show your work.
300\times 41.9300×41.9
Answer:
22054.36
Step-by-step explanation:
Helpppppppppppppppppppp
Step-by-step explanation:
could you write it clearly pls !!!
Answer:
s = 3/10
Step-by-step explanation:
-S - 5st =0
S = 3
t = -2
-3 - 5 (-2) s =0
10 s = 3
s = 3/10
If a student didnt turn an assignment in on the 27th of august, and the teacher deducted 10 percent each day. How much credit would they get if they turned it in on the 1st of september?
Answer:
i have no idea
Step-by-step explanation:
Answer:
credit of 60= lost 40 points
Step-by-step explanation:
31-27= 4
plz help me!!!!!!!!!!
Solve 2 + 1/6y = 3x + 4 for y.
[17 - 7] × 6 + 2 + 56 - 8
Answer:
110
Step-by-step explanation:
[17 - 7] × 6 + 2 + 56 - 8
10 × 6 + 2 + 56 - 8
60 + 2 + 56 - 8
62 + 56 - 8
118 - 8
110
Answer:
110
Step-by-step explanation:
[17 - 7] × 6 + 2 + 56 - 8
(10) x 6 + 2 + 56 - 8
60 + 2 + 48
62 + 48
110
I need the answer to this question
Answer:
y = 3/4x + 19/2
Step-by-step explanation:
m = 3/4. point (-6,5)
Point slope form:
y-5=3/4(x- -6)
y -5 = 3/4x + 18/4. 18/4 = 9/2
Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2
y = 3/4x + 19/2
(please help!)
Add −1.25+2.5
Plot the first addend and the sum on the number.
Answer:
the answer of this question is 1.25
