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
Need help on HS geometry
Answers
Answer:
RS = 46 , RT = 38
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then
RS = 2 × UW = 2 × 23 = 46
RT = 2 × VW = 2 × 19 = 38
MATH WILL YOU PLEASE HELP!
Answers
Answer:
I think it's -6x-18, this queston uses distributive property, so you must multiply each term inside the parenthesis to the number outside the parenthesis.
The blueprint for Moreno's living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new blueprint? (The width is 8)
Answers
Help Plssss it is due tommorrow!!!!! I think it is A i am not sure help
Answers
Answer: congruent bases
Step-by-step explanation:
what makes a trapezoid a trapezoid is that the bases are different! the side on top and bottom are different.
Jordan goes to a high school with 1900 students. He surveyed a random sample of 240 students about their favorite sport, and 150 said that football was their favorite sport. Jordan reported to the school newspaper that football is the favorite sport of 1188 students. What inference did Jordan make? PLSS HELP QUICK !!
Answers
Answer: answer b
Step-by-step explanation:
Which expression is equivalent to 6x-9/3
Answers
Answer:
option A is the answer 2x-3
Answer:
2x-3
Step-by-step explanation:
(6x-9)/3
This can be simplified to
6x/3 - 9/3
2x -3
Solve
x ^ 4 -8x ^ 2 – 9 = 0
Answers
Answer: 0 is the answer
Step-by-step explanation: your welcome its 0
A shop has a sale that offers 20% off all prices.On the final day reduce all the sale prices by 25%.Linz buys a radio on the final day.Work out the overall percentage reduction on the price of the radio
Answers
Answer:
40%
Step-by-step explanation:
Original price = x
Sale = 20% off
20% / 100 = 0.2 to convert from a percent to a decimal
Sale = x - 20% of x = x - 0.2x = 0.8x
Sale price = y = 0.8x
Reduction of sale prices = 25% = 0.25
Reduction = y - 25% of y = y - 0.25y = 0.75y
End price in terms of original price (x):
0.75y = 0.75(0.8)x
= 0.6x
End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction
i wake up at 6:00 am gianna wakes up 35 minutes later john wakes up 7 minutes before gianna at what time does john wake up
Answers
Find the number of minutes Hohn wakes up after you:
35 minutes - 7 minutes = 28 minutes
6:00 am + 28 minutes = 6:28 am
John wakes up at 6:28am
Answer: 6:28am
Step-by-step explanation: If you wake up at 6 and Gianna wakes up 35 mins later then Gianna woke up at 6:35. If John wakes up 7 mins before Gianna the 35mins -7mins=28. So John woke up at 6:28 am.
in 3x + 2/3y - 15 < 0, the point (x,9) is a solution for the inequality shown. what is the possible value for x?
a: 2
b: 3
c: 4
d: 5
Answers
answer: 2
explanation:
if you plug in all of the numbers available for the equation and using 9 as a substitute for y, you'll see that it will either = 0 or be greater than 0
Which expression shows a way to factor 20+24?
Answers
Answer:
20+24= 2(10+12) = 4(5+6)
Those are two ways to factor 20+24.
Find the value of theta, to the nearest hundredth if cos they have is -0.7 and theta is in quadrant 2
Answers
Step-by-step explanation:
if I understand you correctly, then
cos(theta) = -0.7
then Theta = 134.427004...°
and that is rounded 134.43°
Combine the like terms to create an equivalent expression.
\large 9p+3p
Answers
Step-by-step explanation:
there is not much here.
all I can see is
9p + 3p
and that is 12p (as 9+3 = 12)
How many different terms are in the expression? 28s + 3t+ 6b + 21f
Answers
Answer:
4
Step-by-step explanation:
In math, the word difference is the result of subtracting one number from another. It refers to the difference in quantity between two numbers. In math, we get the difference between two numbers by subtracting the subtrahend (the number being subtracted) from the minuend (the number being subtracted from).
Once the prompt in image is read answer choices are:
A. -0.9
B. -0.4
C. 0.4
D. 0.9
Answers
Zoe charges £9 per student to attend a dance class. There are y students in the class.
a . Write an expression for the total amount she charges for a class.
b. How much does she charge for 5 students?
c. How many students must she have in the class to make £72?
Answers
b. 9(5) - She charges 45$ for 5 students
c. 9y= 72
y = 72/9
y = 8
She must have 8 students in her class.
Which property is shown here? (-3 + 9) + 1 = -3 + (9 + 1)
Answers
Answer:
Commutative property
Step-by-step explanation:
Answer:
Associative property I think
Step-by-step explanation:
1/2 + (-7) – 2 1/2 - (-2)
Answers
Explanation:
which function describes the arithmetic sequence shown -5,-7,-9,-11,-13
Answers
Answer:
[tex]n(x)=x-2[/tex]
Step-by-step explanation:
You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:
n is the function and x repersent the number which is givenWe can write this function as: [tex]n(x)=x-2[/tex]So if we input x = -5 we will get -7. If we input -11 we get -13.
8:07, 8:58, ?, 10:43, 11:37
9:51
9:50
9:53
9:49
Answers
Answer:
9:50
Step-by-step explanation:
because, 8:07 ->8:58 +51
...+52
...+53
A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.
The term that completes the sequence is (d) 9:49
The sequence is given as:
8:07, 8:58, ?, 10:43, 11:37
The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:
d = 8:58 - 8:07
This gives
d = 51 seconds
The missing term (which is the third term) is then calculated using:
T3 = 8:58 + 51 seconds
This gives
T3 = 9:49
Hence, the term that completes the sequence is (d) 9:49
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
Hi, I have a question it is kinda hard but I think i got it, if it's wrong plz tell mee
Solve for X
5-x+6=4
X=3
Answers
5-x + 6 = 4
Combine like terms:
11-x = 4
Subtract 11 from both sides
-x = -7
Divide both sides by -1
X = 7
Answer: x = 7
Solve for X
5-x+6=4
Answer:-x = 7
Explanation:-=> 5-x + 6 = 4
=> (5+6)-x = 4
=> 11-x = 4
(subtract both the sides by 11)
=> -x = -7
(divide both the sides by -1)
=> x = 7
Find the maturity value of a loan of Php 5,000 at an interest rate of 15% in 2 years
Answers
Answer:
Php 6500
Step-by-step explanation:
Assuming simple interest, the value after 2 years is ...
A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years
A = 5000(1 +0.15·2) = 5000(1.30) = 6500
The maturity value will be Php 6500.
How many Match sticks will be In Image 6?
Answers
In the first image, we are given 4 match sticks.
In the second image, we are given 7 match sticks. The difference between the match sticks is 3.
In the third image, we are given 10 match sticks. The difference between the match sticks again is 3.
If in the third image we are given 10 match sticks, and for every new image, there is another 3 match stick added, then in the sixth image, there must be 19 match sticks. Image 4: 10 + 3 = 13. Image 5: 13 + 3 = 16. Image 6: 16 + 3 = 19.
Answer = 19. Hope this helps. :)
Answer:
19
Step-by-step explanation:
Four people can paint a fence in 6 hours how long would three people take to paint it?
Answers
Answer:
8 hours
Step-by-step explanation:
4 people = 6 hours
→ Work out how long 1 person takes
1 person = 24 hours
→ Work out how long 3 people takes
3 people = 8 hours
Choose the true statements.
O
A linear function is expressed by a graph of a line that
crosses both axes at the origin. An equation is written in
slope-intercept form to express the same function as
shown in the graph. From just this information, what
statements can be made?
The slope of the equation must be positive.
The y-intercept of the equation is zero.
It is possible that the line on the graph is horizontal.
The slope of the equation must be negative.
Answers
Answer:
The y-intercept must be zero.
It is possible that the line is horizontal.
Step-by-step explanation:
The description states that the line "crosses both axes at the origin." That would mean that the point (0,0) is on the graph. The y-intercept is the value of y when x=0. We see that it is zero in this case (0,0).
The description says nothing about the slope. So it could be either positive or negative. But it could also mean that the slope is zero. A zero slope would be a horizontal line. So that is a second statement that is true: "It is possible that the line on the graph is horizontal."
Answer:
its b and c
Step-by-step explanation:
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answers
Answer:
2
Step-by-step explanation:
Choose 2 points on the graph: (0, -2) and (1, 0)
[tex]\boxed{ gradient = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Gradient of graph
[tex] = \frac{0 - ( - 2)}{ 1 - 0} [/tex]
[tex] = \frac{0 + 2}{1} [/tex]
= 2
Answer:hope it helps!
Step-by-step explanation:
cannot be bothered
The product of b and 9 is less than or equal to 26.
Answers
Divide 9 to both sides
b less than or equal to 2 and eight-ninths
HEPL!! due in 2 hours so please help or attempt! I came up with 5 different answers and don't know which one is the actual answer!!
Answers
Answer:
Original Price = $23
Step-by-step explanation:
$5.75 is the price after a discount of 75%
Let the original price be x and x is 100% of the price
5.75 = 100%x - 75%x
5.75 = 25%x
The new price is 25% of the original because you are subtracting 75%
25% is also written as 0.25
5.75 = 0.25x
x = 5.75/0.25
x = 23
The original price is 23
-Chetan K
A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor game console. A survey participant is randomly selected. Let M be the event the participant brought a microwave and let C be the event the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant did not bring a microwave or did not bring a console, P(MC or CC)?
0.10
0.29
0.39
0.90
Answers
Answer:
0.90
Step-by-step explanation:
I’m doing the unit test
Answer:
0.29
Step-by-step explanation:
The probability that they brought both is .90
The probability of neither is .29, which is what this question is asking
SOMEONE HELP!!!!!!!!!!!!!!!!!!!! I would give more points but there are people who just write random things for an answers that isnt correct just to get points.
Answers
Answer:
a) 320 is correct
b) 20 more 18 year old students
Step-by-step explanation:
a) 320 is correct
b) 20 more 18 year old students: The only information we have in the 25 - 35 minute time frame is the data for 30 minutes:
12 years: 40 students
18 years: 60 students
Difference = 20 more 18 year old students than 12 year old students spent spent time on social media for 25 - 35 seconds.