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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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)
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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
Answers
Answer:
Step-by-step explanation:
The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Since the slope is (1/2), we can write:
y = (1/2)x + b
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See attachment.
The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of m?
Answers
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Answer:
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Step-by-step explanation:
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Answers
Answer:
64 once bottle for $5.05
A recipe that serves 8 people requires 4 1/2 cups of flour. How many servings are in one recipe? Suppose you need to make enough to serve 24 people. How many batches of the recipe would you need to make?
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Answer:
check online for more information
Answer:
Check online for more informations.
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3rd
5th
6th
8th
13th
And
16th line
pi(r^2)(12)=324 , how do you find the radius of this equation?
Answers
Answer:
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
Step-by-step explanation:
[tex]\pi r^{2} (12)=324[/tex]
[tex]\pi r^{2} =27[/tex]
[tex]r^{2} =\frac{27}{\pi }[/tex]
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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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d desktop computers? (n+d)
Answers
Answer:
n=19
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4275+3000
=7275
Step-by-step explanation:
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Answers
Answer:
C
Step-by-step explanation:
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Which type of graphs can show continuous data?
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Answers
Answer:
bar and line
Step-by-step explanation:
1/2 - (-1/3 + 2/5)
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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Correct me if I am incorrect.
What is the value of the expression when h = 5? h + 7
Answers
Answer:
12
Step-by-step explanation:
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[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]
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Answers
Answer:
a) 62
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a) The table tells you there are 42 males, and 20 more females that study biology.
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__
b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...
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Answers
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
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Answers
Answer:
The length of the base of this parallelogram is 34.2
Step-by-step explanation:
To calculate the length, we work backward and calculate the base by doing area/height
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simplify √20 x √5
10
4√5
√10
Answers
20*5=100
Root of 100 is 10
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Answers
Answer:
$24,000
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(8% × P) - (7 3/4% × P) = $60
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His principal was $24,000.
#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]
Select all the functions whose output is 4 when the input is 16.
A.
y = 2x
B. y=x?
2
= x
C.
y = x + 12
D.
y = x - 12
E. y = 1
x
Answers
Answer:
Please check your post. I did the best I could.
Step-by-step explanation:
A. y = 2x 4 = 2*(16)? Nope
B. y=x? I don't understand the equation: y = x? 2 = x?????
C. y = x + 12 4 = 16 + 12? Nope
D. y = x - 12 Same???
E. y = 1 x 4 = 16? Nope
Can someone plz help Me?
Answers
Answer:
D
Step-by-step explanation:
As the y value doesn't change between the points that means that it would be reflected over the y axis
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
=48*290
= Then turn into a smaller exponent
= [tex]2^4 * 3 * 2*145[/tex]
combine like terms
[tex]2^4 *2[/tex]
=[tex]2^5[/tex]
Answer:
5
Step by step explanation :
13^4-11/4=13920
2^5=32
13920÷32=435
Therefore largest power = 5
Please mark me as the brainliest answer
Thank you ☺
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)=}
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Answers
Answer:
sorry i dont under stand it either would it be ok if i repost this
Answer:
t<28 Tia ran the race under 28 seconds
t>28 The temperature is warmer than 28°F
t<29 Tony is younger than 29 years old
t>29 The table is heavier than 29 kilograms
Step-by-step explanation:
the first sentence does not apply
Hope this helps
2(t+1)=10
t= ? ............................................
Answers
Answer:
4
Step-by-step explanation:
2x5=10
5-1=4
2(4+1)=10
BRAINLIEST
Please solve
Answers
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
28 students in her statistics class draws a slip from the
hat upon entering the classroom to determine his or
her assigned seat. How many possible seating assign-
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
Oscar has baskets that each contain 25 apples. Each day 2 apples are
eaten from each basket. Oscar has (25 – 2d) apples left afterd days in
one basket. If Oscar has 7 baskets of apples, how many apples are left
after d days?
Answers
Answer:
175 -14d
Step-by-step explanation:
There will be 7 times as many as in one basket.
7(25 -2d) = 175 -14d . . . . total apples left
If each quadrilateral below is a square, find the missing measures
solve for X
Answers
Answer:
i think x = 18.5
Step-by-step explanation:
6x-21 = 90°
6x = 90+21
6x = 111
x = 111/6
x = 18.5
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
54+14=y+14-14
68=y
What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?
Answers
Answer:
[tex]f(x)\longrightarrow\infty[/tex] as [tex]x\longrightarrow\infty[/tex]
Step-by-step explanation:
We can see that all parts of the polynomial are positive, so as x gets larger, y will also get larger.