Answers
Explanation:
(I). 5/6 (4X+8) = (3/8) X - (1/4)
→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)
→ [{20X + 40}/6] = (3/8)X - (1/4)
→ [{(20X/6) + (40/6) = (3/7)X - (1/4)
Now,
shift all variables fraction on LHS and constant fraction on RHS.
→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)
Take the LCM of LHS denominator of 6&7 is 42.
→ [(140X - 18X)/42] = -(1/4)-(40/6)
→ [(122X)/42] = -(1/4)-(40/6)
Again take the LCM of the denominator in RHS i.e 4&6 is 12.
→ [(122X)/42] = (-12 - 80)/4
→ [(122X)/42] = (-92)/4
By doing Cross multiply the fraction, we get
→ 4(122X) = 42(-92)
→ 488X = -3 864
→ X = -3 864÷488
Therefore, X = -3864/488
Answer: Hence, the value of X for the given problem is -3864:488.
Explanation:
ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)
→ 15p - 25 + 4p = 5p - 6p + 24
Shift all variables in LHS and constant on RHS.
→ 15p + 4p +6p = 25+24
→ 19p + 6p = 49
→ 25p = 49
Shift the number 25 from LHS to RHS.
Therefore, p = 49/25.
Answer: Hence, the value of P for the given algebraic equation is 49/25.
Related Questions
Consider the following data for 120 mathematics students at a college concerning the languages French, German, and Russian:
65 study French, 45 study German,
42 study Russian , 20 study French and German,
25 study French and Russian,
15 study German and Russian.
8 study all three languages.
Determine how many students study exactly 1 subject and fill the correct numbers of students in each eight region of Venn diagram shown in figure.
Answers
Answer:
check online for more information
The Venn diagram for given situation is as shown below.
The number of students who study exactly one subject = 56
What is set?"It is a collection of well-defined elements"
What is Venn diagram?"It is a pictorial representation that uses circles to show the relationships among sets."
For given example,
We have been given the data for 120 mathematics students at a college concerning the languages French, German, and Russian
Let set A, B and C represents the number of students who study French, German and Russian respectively.
⇒ n(A) = 65
⇒ n(B) = 45
⇒ n(C) = 42
20 study French and German
⇒ n(A ∩ B) = 20
25 study French and Russian,
⇒ n (A ∩ C) = 25
15 study German and Russian.
⇒ n(B ∩ C) = 15
8 study all three languages.
⇒ n(A ∩ B ∩ C) = 8
So, the Venn diagram for given situation is shown below.
Now, we find the number of students who study exactly one subject.
28 students study French only, 18 students study German only and 10 students study Russian only.
So, the total number of students who study exactly one subject is,
28 + 18 + 10 = 56
Therefore, 56 students study exactly one subject
Learn more about Venn diagram here:
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Q.
x ÷ 2 = 1.000.000.000
x = ?
Answers
x÷2=1.000.000.000
x=1.000.000.000×2
x=2.000.000.000
Check:
2.000.000.000÷2=1.000.000.000
let's find the value of x
x ÷ 2 = 1.000.000.000x = 1.000.000.000*2x = 2.000.000.000✅At the beginning of year 1, Sam invests $700 at an annual compound interest
rate of 5%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's
beginning of year 4? What is the balance?
Answers
at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]
[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]
HELP 40 POINTS!!!!!!!!!
Answers
The ratio of girls to boys in a bicycling club was 2:3 they were 27 boys how many total members were there in the club
Answers
Answer:
45
Step-by-step explanation:
Ratio is 2girls:3boys
if there were 27 boys, we would have the following ratio:
2g xg
--- = ---
3b 27b
To get from 3 to 27, multiply by 9.
Now, do the same for the numerator.
Now we know we have 18 girls!
We can add:
27 boys and 18 girls=
45 members!
Marie bought 1/2 gallon of milk, which she finished after 6 days, If she drank the same amount of milk each day, how many gallons in a day did she drink?
Answers
Answer:
Marie drunk 0.083 gallons of milk each day
Drag each statement on the left to the correct word on the right to tell whether each is true or false. The words "True" and "False" may be
used more than once.
1/ When rounding, you usually round to the closest number.
2/ When a number is halfway between the two possible numbers, round down to the
smaller number.
3/ When a number is halfway between the two possible numbers, round up to the
greater number.
4/ If you are rounding 897 to the nearest hundred, 890 and 900 are the two possible
numbers you choose between based on whether you are rounding up or down.
Answers
2. False
3. True
4. False
1. True
2. False
3. True
4. False
What is rounding?Rounding represents replacing a numeral with an approximate value that includes a shorter, easier, or more explicit representation.
Rounding suggests making a number simpler but keeping its value close to what it existed.
Hence,
1. True
2. False
3. True
4. False
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Half a number is subtracted from 7 results in 34
Answers
Answer:
[tex]-54[/tex]
Step-by-step explanation:
If the number being halved is x, we can write the expression
[tex]7-0.5x=34[/tex]
Now, bring like terms and solve!
[tex]-0.5x=27[/tex]
Multiple both sides by -2 and you get
[tex]x=-54[/tex]
Wanna check the answer? Well...
[tex]7-(-54*0.5)=7+27=34[/tex]
1. is 2/3 and 4/12 equivalent or no 2. is 5/6 and 10/12 equivalent or no 3. is 1/4 and 4/8 equivalent or no?
Answers
6/12, 1/2, 10/20, 5/10,
Answer:
Step-by-step explanation:
22. PLEASE HELP PLEASSSSSSEEEEEEEEEEEEEEE
15 points
Answers
Answer:
Step-by-step explanation:
2
If
x
=
4
and
y
=
5
, evaluate the following expression:
2
(
y
−
x
)
Answers
Answer:
2 because if y is 5 and x is 4 and we subtract them and get one and then multiply it by two to get two using pemdas
The answer is 2
how about these are they correct?
Answers
-355 - 165 = - (355+165) = -520
-150 - 126 = - (150+126) = -276
-201 - 124 = - (201+124) = -325
P/s: they are wrong. you need this " () "
ok done. Thank to me :>
a) write the measurement 3086 ml into the place value table below
1) what is 3086 ml into liters
b) write the measurement 9 cm into the place value table below
1) what is 9 cm in mm
2) what is 9 cm in m
Answers
Answer:
3086 ml ÷ 1000 = 3.086
9 cm × 10 = 90mm
9 cm ÷ 100 = 9m
Write an equation and solve the sum of twenty one and five
times a number f is 61
Answers
5f = 40
f = 8
Someone help me it’s number 12
You need to find the x value
Answers
k(34)=-5(34)+14
-5(34)+14=-156
I think
A customer purchased 3 pairs of jeans for $94.50. If each pair of jeans costs the same amount, write an equation and then solve for the amount a single pair of jeans costs
Answers
Answer:
One pair of jeans will cost $31.50
Step-by-step explanation:
To find how much one pair of jeans will cost let's write an equation
where the cost of one pair of jeans is x
∴ 3×x=94.50
to find x we will divide both sides by 3
∴3÷3×x=94.50÷3
which makes the equation
∴x=31.50
meaning that one pair of jeans costs $31.50
94.50=3*x
solve for x
94.59/3=x
31.50=x
each pair of jeans will cost $31.50
please help me please
Answers
[tex] \frac{76}{90} [/tex]
-_-
Round 512.45 to the nearest ones place.
Answers
hope this helps!
The answer would be 512.
a playground is 750 M long and 250 m broad find the cost of levelling at rupees 16 per 100 square metres
Answers
Answer:
Area of play ground = Length × Breadth = 750 × 250 = 187500. a Cost of levelling the ground = 187500 × 16 100 = Rs . 30000
how do I solve it? I don't know how, I can't remember and I don't have my notes
Answers
Answer:
-2
Step-by-step explanation:
[tex]\frac{(-2)^3+3 (4)}{-8+6}[/tex]
[tex]= \frac{-8 + 12}{-2}[/tex]
[tex]= \frac{4}{-2}[/tex]
[tex]= -2[/tex]
Answer:
2.3
Step-by-step explanation:
First we must get rid of the exponent, which is that little 3 at the top.
To do this, we will do:
(-2) × (-2) × (-2) = -8
Now we have -8 + 3.4, which equals -4.6
Next we will combine the numbers in the denominator, to get -2.
Now, all together, we have -4.6/-2.
Last but not least, we will divide -4.6 by -2, to get 2.3
And that's your answer, hope this helps you :)
Sorry if it doesn't, though.
Which of the following will have the same value as 350 × 10?
Answers
Answer: 3500x1 or 35x100
Step-by-step explanation:
350x10=3500
3500x1=3500
35x100=3500
A pirate was digging a hole on an island to bury his treasure. If he is able to dig a hole into the sand at 2 feet per minute, what integer would represent how deep the would be after 7 minutes?
Answers
Answer:
2(7) = 14 ft.
Step-by-step explanation:
That pirate must be a beast! or have an excavator.
Emma runs 12 miles in 5 hours. How many miles can Emma run per hour?
Answers
Answer:
2.4 miles per hour
Explanation:
Since you ran 12 miles in 5 hours, you have to divide 12 by 5 to get the total amount of miles for 1 hour.
Translate the phrase into an algebraic expression: 12acorns per qsquirrels?
Answers
Answer:
12/q acorns/squirrel
Define
Rough calculating
Answers
Answer:
A rough calculation or guess is approximately correct, but not exact. roughly adverb.
Step-by-step explanation:
What is the slope please help you’ll be marked brainliest TYSMMMMMM
Answers
Step-by-step explanation:
the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point to another.
I think I can recognize two good points with integer coordinates :
(-30, -90) and (70, 70)
x changes by +100 (from -30 to 70)
y changes by +160 (from -90 to 70)
the slope is then +160/+100 = 16/10 = 8/5
i need help with number 5
Answers
You can find this by solving the first equation for y, you do this by adding y and subtracting 5.
Hope this helps!!
How do the 2s in 12.5 and 0.912 compare?
A The value of the 2 in 12.5 is 11,000 the value of the 2 in 0.912.
B The value of the 2 in 12.5 is 1100 the value of the 2 in 0.912.
C The value of the 2 in 12.5 is 10 times the value of the 2 in 0.912.
D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912.
Answers
Answer:
D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912
Step-by-step explanation:
The value of a digit in a number can be found by setting the other digits to zero.
The value of 2 in 12.5 is 2.
The value of 2 in 0.912 is 0.002.
The ratio of values is 2.000/0.002 = 2000/2 = 1000.
The value of 2 in 12.5 is 1000 times the value of 2 in 0.912.
Answer:
D
Step-by-step explanation:
The answer is D
An account earns simple interest. Find the annual interest rate. I = $60 P = $500 t = 2 years The annual interest rate is %. 10
Answers
Answer:
100
Step-by-step explanation:
A = P(1 + rt)
A = 500(1 + (0.1 × 2)) = 600
A = $600.00
600-500= 100
Solve for x + (1/x):
3x + (2/x) - 4 = 2(x+9) - (7 - (1/x))
Answers
Answer:
Step-by-step explanation: