Answer:
Possible value of k is √2
Step-by-step explanation:
The information given are;
The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;
2·(√k - 1) + √8 - 6·√2 = R
Therefore, simplifying gives;
2·√k - 2 + 2·√2 - 6·√2 = 2·√k - 2 - 4·√2 = R
2·√k - 2 - 4·√2 + 2= R + 2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R
(√k - 2·√2) = R/2 = R
Therefore, √2 is a factor of √k such that √k - 2·√2 = R
Which gives k = x·√2, where x = a rational number
When x = 1, k = √2.
Therefore, a possible value of k is √2
Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2
Step-by-step explanation:
7+6x5-2
First we eliminate.
It isn't A. because they didn't use order of ops.
It isn't B. because they added 6 and 5 instead of multiplying.
Now, we simplify.
7+(6x5)-2
7+30-2
37-2
35
hope it helps!
Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).
Answer:
Step-by-step explanation:
f(g(x))
g(x) = 7x -4
f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7
which grows faster linear or exponential
exponential graphs grow faster
A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.
The teacher spend some amount on buying costumes and microphones for 6 cast members.
GiveN:
Cost of each costume = $38Cost of each microphone = $cTotal money spent = $354Let's frame the equation. Total money is the total amount spent for 6 cast members.
Money spent on costumes = $38 × 6
Money spent on microphone = $c × 6
Equation:
[tex]6 \times 38 + 6 \times c = 354[/tex]
Taking 6 as common,
[tex]6(38 + c) = 354[/tex]
Dividing 6 from both sides,
[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]
[tex]38 + c = 59[/tex]
Solving further,
[tex]38 + c - 38 = 59 - 38[/tex]
[tex]c = 21[/tex]
So, the cost of each microphone = $21
The teacher spent this much on each microphone.
#CarryOnLearning
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The teacher spent $21 on each microphone.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
The total amount of teachers have = $354
Cost of costume for all 6 members ;
6 × 38 = $228
Cost of microphone for all 6 members ;
6 × c = 6c
Now,
Cost of microphone + Cost of costume = total amount
6c + 228 = 354
6c = 126
c = 21
Hence "The teacher spent $21 on each microphone".
For more about the equation,
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vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?
Answer:
It would be 125 spread in each square yard.
Step-by-step explanation:
I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?
JK = 7x + 9
JL = 114, and
KL = 9x + 9,
Find KL.
Answer:
KL= 63
Step-by-step explanation:
JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)
*J_______________________K___________________________L
JL=JK+KL
114=7x+9+9x+9
114-18=16 x
16x=98
x=98/16=6
KL= 9x+9
KL=9(6)+9
KL= 63
Kylie is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The daily fixed costs are $600 and and the total cost of producing 4 phones in a day would be $1600. Write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
Answer:
C= 400P+ 600Step-by-step explanation:
In this problem, we are to model the equation for the total cost of producing a phone
Given that the fixed cost is $600
Also, the total cost of producing 4 phones in a day is $1600
hence the cost of producing 1 phone would be 1600/4= $400
the equation for producing p phones would be
C= 400P+ 600
This equation is the same as the equation of a straight line Y=mx+c
with C=y
400= m= gradient
P=x, the dependent variable
600= c the constant term.
Answer:
c=250+600
Step-by-step explanation:
7.2 times 1/9 I need help!
Answer:
8/10
Step-by-step explanation:
Step 1:
7 2/10 × 1/9
Step 2:
72/10 × 1/9
Answer:
8/10
Hope This Helps :)
7.2 times 1/9 is 0.8
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given:
7.2 times 1/9
=7.2* 1/9
=72/10* 1/9
=8/10
=0.8
Hence, 7.2 times 1/9 is 0.8
Learn more about fraction here:
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A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
d) 360
Step-by-step explanation:
Answer: D. R0, 360°
Step-by-step explanation: RIGHT ON EDGE 2023
Name the property or definition illustrated below
If y = 3x and 2x + 4y = 12, then 2x + 4(3x) = 12
Answer: Substitution
Step-by-step explanation:
GIVEN:
y=3x
2x+4y=12
Then, 2x+4(3x)=12
-----------------------------------------
Substitution: replacing one variable in terms of another variable.
As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.
Hope this helps!! :)
Please answer this question! it's due in a few hours if you don't mind!
Answer: 45 Seconds
Step-by-step explanation: Because if you do 3/4=0.75 or 75%. Knowing that a minute is 60 seconds long. 75% of 60 is 45 Seconds.
Hope this helped!
please answer the problem below
Answer:
d) m<ADC=44°
Step-by-step explanation:
7x-19=9x-37
-19+37=9x-7
18=2x
x=9
m<ADC=9x-37=9(9)-37=81-37=44
Step-by-step explanation:
Your answer would be D) 44°
PLEASE HELP! URGENT!
what comes next in the pattern
19, 20, 22, 25, 29, 30, 32, 35, 39, 40, 42, 45 ___
Which model represents the sum given above
Option a. z
Explanation:Because in z it represents 5/8 + 3/8 + 1/8.
Look at the color in z .
What is 6x - 2 if x = 5
Answer:
28
Step-by-step explanation:
6x = 6 x 5 because x = 5.
6 x 5 = 30
30 - 2 = 28
Please help me
I need to submit it now!!
Answer:
Alicia is right, 11 is the answer
Step-by-step explanation:
ItS EaSy
Answer:
it is eleven I think first add 12 plus 3 then subtract 3 u get eleven so Alicia is right ✅
(a) A color printer prints 16 pages in 9 minutes.
How many minutes does it take per page?
| minutes per page
please tell me y what 6(2y−9)=-42
Answer:
y =1
Step-by-step explanation:
6(2y−9)=-42
Divide each side by 6
6/6(2y−9)=-42/6
2y -9 = -7
Add 9 to each side
2y -9+9 = -7+9
2y =2
Divide by 2
2y/2 = 2/2
y =1
3(5x-2)=15x-6 is their a solution or no
Answer: 0 = 0
Step-by-step explanation: there is no solution
Solve for a.
ab + c = d.
Answer:
a = [tex]\frac{d - c}{b}[/tex]
Step-by-step explanation:
ab + c = d
- c - c
ab = d - c
divide both sides by b
a = [tex]\frac{d - c}{b}[/tex]
I hope this helps!!
Answer:
a=d-c/b
Step-by-step explanation:
ab+c=d
ab=d-c
a=d-c/b
-1 +(-3) is units from -1 in the direction
Answer:
-4
Step-by-step explanation:
7/20 write the decimal from of each rational number and determine
Answer:
0.35
Step-by-step explanation:
Step 1:
7/20 = 35/100
Step 2:
35 ÷ 100
Answer:
0.35
Hope This Helps :)
Simplify the following: (-83)2
Simplify the expression (5)2.
O 25
O-10
0-25
O 10
the perimeter of a rectangular playground is 46m. if the length of the park is 7m, what is the width of the park?
Answer:
Step-by-step explanation:
2(7) + 2w = 46
14 + 2w = 46
2w = 32
w = 16 is the width of the park
Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Answer:
BC = 29Step-by-step explanation:
Point B is between A and C and the points A, B, and C are collinear so:
AB + BC = AC
487 + 5x + 8x + 709 = 91
13x + 1196 = 91
- 1196 - 1196
13x = - 1105
÷13 ÷13
x = - 85
BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29
is this the right andwer plz help i will mark you as brilliant
Answer:
No the answer is 35! :)
Step-by-step explanation:
Answer:
The Answer is Thirty five
Step-by-step explanation:
So you would multiply five by seven and get Thirty Five
The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?
Answer:
She can make 20 baskets in 5 hours