Is k=4 a solution of 4 K + 7=7 k-1

Answers

Answer 1

Answer:

k=8/3

Step-by-step explanation:

Let's solve your equation step-by-step.

4k+7=7k−1

Step 1: Subtract 7k from both sides.

4k+7−7k=7k−1−7k

−3k+7=−1

Step 2: Subtract 7 from both sides.

−3k+7−7=−1−7

−3k=−8

Step 3: Divide both sides by -3.

−3k

−3

=

−8

−3

k=

8

3

Answer 2

The value of k is equal to 8/3 for the given expression.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The given expression is  4 K + 7=7 k-1, the value of k is calculated as,

4K + 7=7k-1

Separate the like terms in the above equation and solve for the value of k,

4K + 7=7k-1

7k  - 4k = 7 + 1

3k = 8

k = 8/3

Therefore, the value of k will be 8/3 in the given equation. The value of k = 4 is wrong.

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Related Questions

Vuu try further gridiron

Answers

Answer:

A. M and P

Step-by-step explanation:

To be perpendicular, they only need to have opposite reciprocal slope. For example, the lines, y=3x+8 and y= -(1/3)x-3 would be perpendicular because -1/3 is the opposite reciprocal of 3.

Consider the figure below. If ∆ABC is translated using the vector (x, y)→(x−3, y+3), then rotated 180° about the origin, what will be the x-coordinate of C’ ?

Answers

Answer: -7

Step-by-step explanation:

I’m doing the test

Indicate the answer choice that best completes the statement or answers the question
Determine whether each table represents a linear or a nonlinear function.
b
0
12
4
18
16
38
16

Answers

Answer:

I also think b one is correct

Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.


There's a picture of a circle with the radius of 21 cm

Picture of the circle:

Answers

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

Please help me with this problem will give branlyiest.

Mr. Thompson, a retiree, looks at his check register. What is Mr. Thompson's yearly rent (using 12 months)? $______ What was the average grocery expense in this time period? $_________ Knowing that he buys groceries weekly, Mr. Thompson estimates his yearly expense for groceries to be (4*12* $______ or $_____ Then, Mr. Thompson realizes there are more than 48 weeks in a year. He revises his estimate using (52 x $______ to get $_______ for his estimate. Based on the calculations above, how much money should Mr. Thompson budget annually for food and rent? $______ If Mr. Thompson receives $1,006.28 twelve (12) times a year, what is his yearly income? $_______ Expressed as a percent of income, enter an estimate for rent (to the nearest tenth) and food expenses. Rent: ______%; Food: _____%​

Answers

Answer:

$2459.04

$32.31

$33.45 or $34.92

$32.31

$1680.12

$4139.16

$12075.36

20.4% and 3.2%

Step-by-step explanation:

Monthly rent is 204.92, so yearly rent is 204.92 * 12 = 2459.04

His average grocery expenses is the sum of all the grocery expenses, divided by the number of times he did them

33.45 + 34.92 + 28.56 = 96.93

96.93 / 3 = 32.31

33.45 or 34.92

Since he's revising the calculation, and he does groceries once a week, we will multiply the average he spent on grocery by the 52 weeks he's using in calculations. So, 32.31

The estimate for grocery in a year is,

52 * 32.31 = 1680.12

His annual budget for food and rent would be adding the estimated amount he's to spend on grocery together with the estimated amount he's to spend on rent

2459.04 + 1680.12 = 4139.16

If he receives 1006.28 in a month, multiplying by 12 would give us the estimate he's to receive in a year.

1006.28 * 12 = 12075.36

Percentage

Rent = 204.92 / 1006.28 * 100%

Rent = 20.4%

Food = 32.31 / 1006.28 * 100%

Food = 3.2%

Don't forget the brainliest :)

A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange

Answers

Answer:

$0.44 each

Step-by-step explanation:

3.08/7 = 0.44

The required cost in dollars per orange is $0.44.

Given that,
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange is to be determined.

What is the Ratio?

The ratio can be described as the proportion of the fraction of one amount towards others. e.g.- water in milk.

What is arithmetic?

In mathematics, it deals with a number of functions according to the statements.

here,
Let the cost of 1 orange = $x
The grocery store sells a bag of 7 oranges for $3.08.
So for 1 orange,
x = 3.08 / 7
x = $ 0.44

Thus, the required cost in dollars per orange is $0.44.

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Would the space in between 2 transversals be an interior angle?

Answers

Answer:

When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°. so yes

Step-by-step explanation:

Given: FG is an median. What can you conclude?

Answers

Answer:

The last option line DG is congruent to line GE

Step-by-step explanation:

Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side

So basically G is the midpoint of DE because FG is the median.

The last option, we can conclude that line DG is congruent to line GE

What is median?

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.

We are given that FG is an median.

Thus, basically G becomes the midpoint of DE because FG is the median.

So, DG = GE

Hence,

The last option, we can conclude that line DG is congruent to line GE

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1) There are 56 people at a party. Each table has 8 seats. How many tables are
needed so all of the people have a seat?
56 +
= 8
6
54

Answers

Answer:

56 / 8

Step-by-step explanation:

2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>

Answers

Answer:

j

Step-by-step explanation:

We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.

(3-3,7-7) = (0,0)

(-5-3,-3-7) = <-8,-10>

Hope this helps!

The manufacturer of official NFL footballs uses a machine to inflate its new balls to a pressure of 13.5 pounds. When the machine is properly calibrated , the mean inflation pressure is 13.5 pounds, but uncontrollable factors cause the pressures of individual footballs to vary randomly from 13.3 to 13.7 pounds. For quality control purposes, the manufacturer wishes to estimate the mean inflation pressure to within 0.025 pound of its true value with a 99% confidence interval. What sample size should be used

Answers

Answer:

106

Step-by-step explanation:

Given that:

Mean (m) = 13.5 pounds

Error margin = 0.025

α = 99%

Variation interval = range = 13.3 to 13.7

Standard deviation (σ) estimate from range :

Range / 4

(13.7 - 13.3) /4

= 0.4 / 4

= 0.1

Zcritical at 99% = 2.576

Using the formula :

Sample size (n) = [ (Zcritical * σ) / M. E]^2

n = [(2.576 * 0.1) / 0.025]^2

n = (0.2576 / 0.025)

n = 10.304^2

n = 106.172

n = 107 samples

What is 820 milliliters equal to in liters?

Answers

Answer:

0.82 L

Step-by-step explanation:

Answer: 0.82 liters

Step-by-step explanation:

A group of eight people are attending the movies together.

a. Two of the eight insist on sitting side by side. In how many ways can the eight be seated together in a row?
b. Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the eight be seated together in a row?

Answers

Answer:

I think A

Step-by-step explanation:

Find f(2) If f(x) = (x + 1)2.​

Answers

Answer:

f(2)=9

Step-by-step explanation:

solve the following equation for y

x+y=3​

Answers

9514 1404 393

Answer:

  y = 3 -x

Step-by-step explanation:

Subtract x from both sides of the equation.

  x -x +y = 3 -x

  y = 3 - x

Answer:

y=3-x

explanation

its that

The Student Council sold the following items at the home football game. A B C D E F 1 Item Number Price Income Cost Per Sold Item 2 lollipops 85 $0.25 $21.25 $0.12 3 Gummies 48 $0.35 $16.80 $0.18 4 Bubble Gum 79 $0.45 $35.55 $0.22 5 Combos 46 $0.55 $25.30 $0.26 $ $ $ 16! DHE $ 6. TOTAL $50.72

If n stands for number sold and c stands for cost per item, in which column would you use the formula: n x c?

A; Column D
B: Column E
C: Column F
D: Column G​

Answers

Answer: D: Column G​

Step-by-step explanation:

If n is the number of items sold and c is the cost per item, multiplying n and c would give the total expenses for selling that item.

As expenses are in column G, this is therefore the right column to use n * c.

This is can be proven by using the Lollipops as an example.

n = 85

c = $0.12

n * c = 85 * 0.12 = $10.20

$10.20 is the amount of expenses for lollipops in Column G so Column G must be right.

What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
A) Leg = Hypotenuse ∙ √2
B) Hypotenuse = Leg ∙ √2
C) Leg ∙ Hypotenuse = √2

Answers

Answer:

B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.

An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.

Normally, the legs are a and b, and the hypotenuse is c, and we have

a^2 + b^2 = c^2

Here the legs are congruent, so we have a = b.

Substituting a for b, we have

a^2 + a^2 = c^2

2a^2 = c^2

c^2 = 2a^2

c = a√2

Answer: B) Hypotenuse = Leg ∙ √2

Answer:

progably B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

The forces exerted on an object are shown.

A box has an arrow pointing right labeled 6 N and an arrow pointing left labeled F.

If the object moves right, which of the following is a possible value of F?

Answers

Answer:

The possible value of F must be 5N.

Step-by-step explanation:

A vector quantity is a quantity that comprises of both magnitude and direction. And an example of a vector quantity is force.

In the given question, the pointing arrows are two forces in action, pushing the box in opposite directions.

If the values of both forces pointing left and right are equal, the box would not move. This implies that the two forces are balanced, so the box would be at a state of dynamic equilibrium.

If the box moves to the right, it implies that the force F is less than that pointing right i.e 6N > F.

Therefore, the possible value of F is less than 6N. Thus, F = 5N.

what's 2+2-2-4+77 and what is the square root of the sum

Answers

Answer:

simplified it is 75 the square root of 75 is 8.66025403784

Step-by-step explanation:

Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
cookies. Someone else brought 24 cookies. Let 'y' represent the total
number of cookies at the party. Show an equation in SLOPE-INTERCEPT
FORM that models this situation. Kendal brings 60 boxes to the party. How
many cookies in total were at the party?

Answers

Answer:

744 cookies

Step-by-step explanation:

PLZ MARK BRAINLIEST ON THE TOP RIGHT CLICK THE CROWN.

Solve the system of equations given below.
y - 15 = 3
-2.1 + 5y = -3

Answers

Answer:

1) y=18

2)y=-0.18

Step-by-step explanation:

1) y-15=3. Add 15 on both sides.

y=18

2)-2.1+5y=-3. Add 2.1 on both sides

5y=-0.9. Divide 5 on both sides

y=-0.18

The lay in Burlington collected $3 930 in overdue fees last year. This year, the library
collectieted 3144 What is the percent of decrease in the amount collected?

Answers

Answer:

We conclude that the percent of decrease = 20%

Step-by-step explanation:

Given

Original amount = $3930Amount of decrease = $3930 - $3144 = $786

Using the formula

Percent of decrease = ( amount of decrease / orignal amount × 100 ) %

                                   = ( 786 / 3930 × 100 ) %

                                    = ( 0.2 × 100 ) %

                                    = 20%

Therefore, we conclude that the percent of decrease = 20%

I need G PLZZZZZZZZZZZZZZZ

Answers

I can’t even read it

Carla currently has $300 in her bank account. Each time she goes to the ATM,
she withdraws $20. Write an equation representing this situation:

Answers

Answer:

y = -20x + 300

Step-by-step explanation:

y is total amount of money left (because this is the answer we are trying to find.)

x is the amount of times she goes to the ATM (because this is our unknown variable.)

-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.

You can spend up to $35 on a shopping trip. You want to buy a shirt that cost $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt

Answers

Answer:

Step-by-step explanation:

a. 35 greater than or equal to 14 + x

   35 - 14 = 21

   x = $21

b. If the shirt is 30% off it would cost $9.80

   14 x 0.3 = 4.2

   14 - 4.2 = 9.8

   35 is greater than or equal to 9.80 + x

   35 - 9.8 = 25.2

   x = $25.20

   This changes the inequality by making x greater than it was in part a

c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.

Nine children on the swim team dont like ice cream if this represents 18% of children on the swim team how many children are on the swim team

Answers

Answer:

Um.. Im not sure about this one.. you're in college?

Step-by-step explanation:

Answer:

50 children in total

Step-by-step explanation:

question is really asking this:  9 is 18% of what number

9 = .18x

9/.18 = 50

I need help i dont understand any of this

Answers

Step-by-step explanation:

multiply all the fractions together in your calculator :)

I need help with these too questions
Number 1
Number 2

Answers

Answer:

Step-by-step explanation:

-6n + 2.9 = 11

subtract 2.9 from both sides

-6n = 8.1

divide both sides by -6

n = -1.35

2/3n - 3 = 8

add 3 to both sides

2/3n = 11

multiply both sides by 3

2n = 33

divide both sides by 2

n = 16.5

hope this helps <3

Answer:

left side:

-6n = 11 - 2.9

-6n = 8.1

n = - 8.1/6

n = - 1.35

right side:

2/3 n = 8 + 3

2/3 n = 11

n = 33/2

n = 16.5

An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management

Answers

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]

the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]

[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]

[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

[tex]Z_{0.1} = -1.28[/tex]

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

The value of y varies directly with x, and y =-10 when x=40, identify the value of y when x =-5​

Answers

Answer:

I think that answer is 5 or 35

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