Answers
Answer:
b = [tex]\frac{7}{12}[/tex]
Step-by-step explanation:
b + [tex]\frac{2}{3}[/tex] = 1 [tex]\frac{1}{4}[/tex] ← change to an improper fraction
b + [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{4}[/tex]
Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
12b + 8 = 15 ( subtract 8 from both sides )
12b = 7 ( divide both sides by 12 )
b = [tex]\frac{7}{12}[/tex]
Answer:
The value of b is 7/12.
Step-by-step explanation:
Question :
Solve for b.
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Enter your answer as a fraction in simplest form in the box.
[tex]\implies{\sf{b = \square}}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
Solution :
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Converting the mixed fractions into improper fraction.
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(4)+ 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{4+ 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]
Now, transporting LHS to RHS.
[tex]{\implies{\sf{b= \dfrac{5}{4} - \dfrac{2}{3}}}}[/tex]
Taking LCM of denominators and subtracting.
[tex]{\implies{\sf{b= \dfrac{(5 \times 3) - (2 \times 4)}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{(15) - (8)}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{15 - 8}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{7}{12}}}}[/tex]
[tex]{\star{\red{\underline{\boxed{\sf{b= \dfrac{7}{12}}}}}}}[/tex]
Hence, the value of b is 7/12.
[tex]\begin{gathered}\end{gathered}[/tex]
Verification :
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Substituting the value of (b=7/12)
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Converting mixed fractions into improper fraction
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{4 + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]
Taking LCM of denominators in LHS and adding.
[tex]{\implies{\sf{ \dfrac{(7 \times 1) + (2 \times 4)}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{(7) + (8)}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7 + 8}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{15}{12} = \dfrac{5}{4}}}}[/tex]
Cutting the fraction to simplest form.
[tex]{\implies{\sf{ \cancel{\dfrac{15}{12}} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{5}{4}= \dfrac{5}{4}}}}[/tex]
[tex]{\star{\red{\underline{\boxed{\sf{LHS = RHS}}}}}}[/tex]
Hence Verified!
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
Related Questions
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A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line
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Answer:
Step-by-step explanation:
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We want a value of b such that it forces the line to go through point (-10,9). Enter that point in the equation and solve for b:
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9 = (1/2)*(-10) + b
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Step-by-step explanation:
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A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $225 each, and the desktop computers cost $250 each. How many total computers would someone buy if they get 19 notebooks and 12 desktop computers? How many total computers would someone buy if they get
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Answers
Answer:
n=19
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Step-by-step explanation:
Please show work!!!!
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Answers
Answer:
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Step-by-step explanation:
To calculate the length, we work backward and calculate the base by doing area/height
We have 690.84/20.2 = 34.2
I hope this explained your confusion
Select all the functions whose output is 4 when the input is 16.
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y = 2x
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2
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Answers
Answer:
Please check your post. I did the best I could.
Step-by-step explanation:
A. y = 2x 4 = 2*(16)? Nope
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Answers
Answer:
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A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?
Answers
Answer:
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What is the largest power of 2 that is a divisor of 13^4 - 11^4?
Answers
Answer:
[tex]2^5[/tex]
Step-by-step explanation:
Given:
[tex](13^4 - 11^4)(13^2+11^2)[/tex]
add all together with exponents
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combine like terms
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Answer:
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Step by step explanation :
13^4-11/4=13920
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13920÷32=435
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Please mark me as the brainliest answer
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The equation is y=mx+5y=mx+5
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10
4√5
√10
Answers
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please help?
Answers
1/2-(-1/3+2/5)
= 1/2-(-0.33333333333333+2/5)
= 1/2-(-0.33333333333333+0.4)
= 1/2-(0.066666666666667)
= 1/2-0.066666666666667
= 0.5-0.066666666666667
= 0.43333333333333
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Step-by-step explanation:
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Answers
Answer:
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Discriminant D=p2−4(1)(−1)=p2+4
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Answers
Answer:
175 -14d
Step-by-step explanation:
There will be 7 times as many as in one basket.
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2(t+1)=10
t= ? ............................................
Answers
Answer:
4
Step-by-step explanation:
2x5=10
5-1=4
2(4+1)=10
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Answers
Answer:
sorry i dont under stand it either would it be ok if i repost this
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t<28 Tia ran the race under 28 seconds
t>28 The temperature is warmer than 28°F
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t>29 The table is heavier than 29 kilograms
Step-by-step explanation:
the first sentence does not apply
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the two-way table shows information about the subjects studied
Answers
Answer:
a) 62
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a) The table tells you there are 42 males, and 20 more females that study biology.
42 +20 = 62 . . . are male or study biology or both
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62/90 = 31/45 = P(male or biology)
Solve 54=y−14. i need help anything helps.
Answers
Answer:
y=68
Step-by-step explanation:
isolate the variable by adding 14 to both sides
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Assigned seating forever! Ms. Clore has 28 desks in
her classroom. She numbers the desks from 1 to 28.
On the first day of class, Ms. Clore places identical
slips of paper numbered 1 to 28 in a hat. Each of the
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hat upon entering the classroom to determine his or
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ments are there?
Answers
Using the arrangement formula, it is found that there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
The number of possible arrangements of n elements is given by the arrangement formula, as follows:
[tex]A_n = n![/tex]
It is used when n elements are arranged in n positions.In this problem, 28 students are arranged on 28 desks, hence [tex]n = 28[/tex], and:
[tex]A_{28} = 28! = 3.05 \times 10^{29}[/tex]
Hence, there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
You can learn more about the arrangement formula at https://brainly.com/question/24648661
Four movie tickets cost $30.00. Each ticket cost the same amounts.what was the cost of each tickets in dollars and cents
Answers
Answer: $7 and 50 cents
Four movie tickets cost $30.00
1 movie ticket will cost 30.00/4 = $7.50
$7.50
You divide 30.00 from 4 (30.00/4) and it equals to 7.5, but since we are dealing with money we add a zero at the end(7.50)
Hope this helps!
HELP PLEASE! FOR 50 POINTS
Answers
3rd
5th
6th
8th
13th
And
16th line
BRAINLIEST
Please solve
Answers
A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 hirt. Complete the table of values for this situation.
Answers
Answer:
thanks
Step-by-step explanation:
Answer:1- $52 {40+12(1)=}
5- $100 {40+12(5)=}
10 - $160 {40+12(10)=}
50 - $640 {40+12(50)=}
#1 need help asap plzzzzzzzzzzzz
Answers
Answer:
[tex]n+4<12[/tex]
Step-by-step explanation:
A number would be represented as [tex]n[/tex]
"plus 4" is addition so that would be [tex]n+4[/tex]
fewer and less have the same meaning so that would be a less than sign [tex]<[/tex]
so that's how you get [tex]n+4<12[/tex]
What is the value of the expression when h = 5? h + 7
Answers
Answer:
12
Step-by-step explanation:
if h=5
then h+7 = 5+7 = 12
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
[tex]\implies\sf{h + 7} \\ \\ \implies\sf{5 + 7} \\ \\ \implies\sf{12}[/tex]