To solve this equation, you must multiply by a denominator and then subtract to isolate a variable.
Remove the DenominatorMultiply by 4 on both sides of the equation.
[tex]\displaystyle 4(5 + \frac{k}{4}) = 4(3)[/tex]
[tex]\displaystyle 20 + k = 12[/tex]
SimplifySubtract 20 from both sides to isolate the k.
[tex]20 - 20 + k = 12 - 20[/tex]
[tex]\boxed{k = -8}[/tex]
The final answer is k = -8.
Please help me on this question
Answer:
125 10/14
Step-by-step explanation:
the 125 doesn't actually matter so you can ignore that part.
since it is being divided by 14, the denominator of the fraction is 14. the remainder is 10, so the answer should be in the form of x 10/14, which the 1st answer is
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
Step-by-step explanation:
in order of the chart they are in axis number:
3
3
2
2
4
1
4
3
Use complete sentences to describe why √-1 ≠ -√1
Well let's say that to compare these two numbers, we have to start with the definition first.
Definition
[tex] \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }[/tex]
Looks like we can use any x-values right? Nope.
The value of x only applies to any positive real numbers for one reason.
As we know, any numbers time itself will result in positive. No matter the negative or positive.
Definition II
[tex] \displaystyle \large{ {a}^{2} = a \times a = |b| }[/tex]
Where b is the result from a×a. Let's see an example.
Examples
[tex] \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}[/tex]
So basically, their counterpart or opposite still gives same value.
Then you may have a question, where does √-1 come from?
It comes from this equation:
[tex] \displaystyle \large{ {y}^{2} = - 1}[/tex]
When we solve the quadratic equation in this like form, we square both sides to get rid of the square.
[tex] \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }[/tex]
Then where does plus-minus come from? It comes from one of Absolute Value propety.
Absolute Value Property I
[tex] \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }[/tex]
Solving absolute value always gives the plus-minus. Therefore...
[tex] \displaystyle \large{ y = \pm \sqrt{ - 1} }[/tex]
Then we have the square root of -1 in negative and positive. But something is not right.
As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.
Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.
Then we have another number which is -√1. This one is simple.
It is one of the solution from the equation y^2 = 1.
[tex] \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }[/tex]
We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.
Conclusion
So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.
Answer:
Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]
Step-by-step explanation:
[tex]\sqrt{-1} \\[/tex] cannot be calculated as no two identical numbers that are multiplid could give -1. However - [tex]\sqrt{1}[/tex] means -1 x [tex]\sqrt{1}[/tex] = -1 x 1 = -1 . Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]
I WILL MARK AS BRAINLIEST! Solve for X
Answer:
a) x= 42 , b) x=(16)/(9) , c) x=60
Step-by-step explanation:
a)
Divide 48 by 8 - 48 / 8 = 6Multiply 6 by 7 - 6 x 7 = 42You get x = 42b)
Flip (9)/(2)…(i.e. reciprocal)Multiply 8 and 2 - 8 x 2 = 16 You get x = (16)/(9)c)
Divide 80 by 4 - 80 / 4 = 20Multiply 20 by 3 - 20 x 3 = 60You get x = 60Solve the inequalities by graphing. Identify the graph that shows the following equations.
x + y > 3
x + y < 5
Answer:
x+%Y = 7
Step-by-step explanation:
&.x 1 +1223 +23888 +667x228833 .7%/11 =7
I WILL MARK BRAINLIEST! Solve for X and Y
See the images. I hope it will help you.
Which of the following statements is true?
a) Cube root of a perfect cube number ending with 8 ends with 8.
b) Cuberootofaperfectcubenumberendingwith6endswith2.
c) Cube root of a perfect cube number ending with three zeroes ends
with one zero.
d) Cube root of a negative number may be positive.
Answer:
b is the correct answer
Step-by-step explanation:
(ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8.Cube roots of negative numbers are always negative.
Sorry that the last question was wrong to help me with this one.
Answer:
sure
Step-by-step explanation:
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There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.
Several trials are performed with the results shown in the table. What is the experimental probability of randomly drawing a red marble?
Red Blue Green
16 30 34
32%
25%
20%
16%
I need help!
Answer:
I would guess 20%
Step-by-step explanation:
16+30+34)/4)x5 (this is how I think u would get it to be 100)
16/4)x5 = 20
20/100 = 20%
Im less certian about this one than the other but if u think its correct u can try it
Helppp me pleaseeeee
Answer:
485 × [tex]10^{-10}[/tex]
Step-by-step explanation:
first we need to convert the number to fraction
0.0000000485
[tex]\frac{0.0000000485}{10000000000}[/tex]
it will be
[tex]\frac{485}{10000000000}[/tex]
or can be written as
[tex]\frac{485}{10^{10} }[/tex]
now we need to convert it to scientific notation
485 × [tex]10^{-10}[/tex]
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
Katie, Elizabeth, and Siobhan volunteer at the
hospital. In a week, Katie volunteers 3 hours
more than Elizabeth does and Siobhan
volunteers 1 hour less than Elizabeth. Over
3 weeks, the number of hours Katie
volunteers is equal to the sum of Elizabeth’s
and Siobhan’s volunteer hours in 3 weeks.
Complete the table to find out how many
hours each person volunteers each week.
Answer: 3(x+3) = 3X + 3(x-1)
3x + 9 = 3x + 3x - 3
3x + 9 = 6x - 3
0 = 6x - 3 - 3x - 9
0 = 3x - 12
12 = 3x
x=4
Step-by-step explanation:
3) Solve these problems that have more than one answer.
A) Mary read 3 times the amount of books as Carey over the summer. Carey read twice as
many books as Barry. If the students read 405 books combined, how many more books did
Mary read than Barry?
----
Answer:
225
Step-by-step explanation:
Mary = 3x (3 times Carey)
Carey = x
Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)
3x + x + x/2 = 405
4x + x/2 = 405
8x/2 + x/2 (treat these as fractions) = 405
9x/2 = 405
9x = 810 (cross multiply)
x = 90
Mary = 3(90) 270
Carey = 90
Barry = 90/2 45
Mary - Barry
270 - 45 = 225
Hope this helps! :)
5(3)+t(24)= I need help wish me the best of luck
Answer:
15+24t
Step-by-step explanation:
First, I copied the expression down. Then, I used PEMDAS, so I multiplied 5x3. That left 15 + t(24). I just gave the variable to 24, making 24 t's coefficient. So, the simplified answer would be 15 + 24t.
2( 4x + 1 ) = 3x - 6x
GIVING BRAINLIEST, THANKS AND FIVE STARS!!
Express each number as a product of its prime numbers.
1. 245
2. 510
3. 250
4. 1,089
5. 4,725
6. 900
18. 27,000
Answer:
245 = 5*7*7
510 = 3*17*2*5
250 = 5*5*5*2
1089 = 3*3*11*11
4725 = 3*3*3*5*5*7
900 = 3*3*5*5*2*2
27000 = 3*3*3*5*5*5*2*2*2
Please help!! I will appreciate it
Answer:
Answer Is B
for every table there 14 napkins
last question of this assignment..... please don't answer unless you know the correct answer....
Answer:
C
Step-by-step explanation:
Its the best possible answer
Answer:
C
Step-by-step explanation:
The answer is C. All you need to do is check each graph and see if (0,45) (1,70) (2,95) (3,120) are plotted on the graph correctly. And C is correct because each point is plotted on there correctly.
The mayor knows the area needed for a flower garden in the park. She wants the base to be a certain length. How can she determine the necessary height to get the correct area of the flower garden? Explain.
Answer:
Answer:The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.
Step-by-step explanation:
Maria would determine the height by dividing the area of the garden by the base
From the question, she has the area and the base.
Also, the garden has the shape of a parallelogram
The area of a parallelogram is the product of the base and the height.
So, when the area is divided by the base, she gets the height
Read more about parallelograms at:
https://brainly.com/question/3050890
A bookshop has some fiction and non books. 2/5 of the books are fiction books. Of these, 1/5 are mystery stories. 1/3 of the non fiction books are mystery stories too. What fraction of all the books in the shop are mystery books?
Answer:
1/3 of all of the books
Step-by-step explanation:
5/5 - (2/5 +1/5) =2/5
2/5(1/3) = 2/15 nonfiction mystery books
2/15 + 1/5 = mystery books
1/5 = 3/15
2/15 + 3/15 = 5/15
5/15 = 1/3
Please get right and do quick
Answer:
h = S/(2 π r) - r
Step-by-step explanation:
Solve for h:
S = 2 π r (r + h)
S = 2 π r (r + h) is equivalent to 2 π r (r + h) = S:
2 π r (r + h) = S
Divide both sides by 2 π r:
r + h = S/(2 π r)
Subtract r from both sides:
Answer: h = S/(2 π r) - r
Answer:
h=s/(2 π r) -r
Step-by-step explanation:
I need help someone help me please I guess
Answer:
C. -4 degrees celsius
Step-by-step explanation:
Answer:
-4 degrees celsius
Step-by-step explanation:
you can see that there are 5 tiny lines between 0 and -10 so that must mean that 10 divided by 5 = 2. so each gap is equal to 2 degrees celsius. that means that the red liquid is upto the -4 point
What is -14 ÷ -112 = to?
Answer:0.1 just use a calculator
Step-by-step explanation:
Can someone pls help thxs
□X
□X
□V
□V
□X
□V
the V ones are answers.PLZZ HELPP!! Find the perimeter of the following polygon.
10 in
10 in
11 in
12 in
Answer:
43in
Step-by-step explanation:
Perimeter = sum of the sides
Perimeter = 11 + 10 + 10 + 12 = 43
There is 2 questions and I would like time to answer both of them! Please and thank you!
5(x+)+11=25-3x add workk
Answer: calculdora
5 (x +) + 11 = 25-3x adicionar trabalho
Step-by-step explana
Solve the inequalities by graphing. Identify the graph that shows the following equations.
x + y < 1
x − y > 2
Answer:
It's the 4th graph on the 1st sheet
Step-by-step explanation:
To find the average of a student’s test scores, add the scores and divide by the number of tests. Suppose Ryan scored 85, 92, 88, and 98 on four tests. Write a numerical expression to describe Ryan’s average test score.
Answer:
(85+92+88+98)/4
Step-by-step explanation:
No equal sign because it is a numerical expression.
Help pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!! T^T
Answer: Therefore,
1 + (-5/8)
Solve it,
= 1-(5/8)
= (8-5)/8
= 3/8
Step-by-step explanation: