mike, dave and john worked for a total of 56 hours. Dave worked 6 more than 4 times as many hours as mike. John worked 6 less than 3 times as many hours as Mike. How long did Dave work?

Mike, Dave And John Worked For A Total Of 56 Hours. Dave Worked 6 More Than 4 Times As Many Hours As

Answers

Answer 1

Answer:

1. Dave worked for 34 hours.

2. Perimeter of the rectangle is 172 cm.

Step-by-step explanation:

1. Determination of the hours Dave worked.

Let D represent Dave.

Let M represent Mike.

Let J represent John.

Tota time worked by Dave, Mike and John is 56 hours. This can be written as:

D + M + J = 56 ..... (1)

Dave worked 6 more than 4 times as many hours as Mike. This can written as:

D = 6 + 4M .....(2)

John worked 6 less than 3 times as many hours as Mike. This can be written as:

J = 3M – 6 ........ (3)

Substituting the value of F and J into equation 1, we have:

D + M + J = 56

D = 6 + 4M

J = 3M – 6

6 + 4M + M + 3M – 6 = 56

6 – 6 + 4M + M + 3M = 56

8M = 56

Divide both side by 8

M = 56/8

M = 7

Substitute the value of M into equation (2) to obtain the value of D.

D = 6 + 4M

M = 7

D = 6 + 4(7)

D = 6 + 28

D = 34

Therefore, Dave worked for 34 hours .

2. Determination of the perimeter.

Length (L) = 64 cm

Width (W) = 22 cm

Perimeter (P) =?

P = 2(L + W)

P = 2 (64 + 22)

P = 2 (86)

P = 172 cm

Therefore, the perimeter of the rectangle is 172 cm


Related Questions

a. Jacob is the most popular name among the 2,086,814 males born in 2000. The Jacobs make up 1.6516% of all males born that year. How many Jacobs were born in 2000?

Answers

Answer:

34,466

Step-by-step explanation:

Given:

Number of males born in 2000 = 2,086,814

Percentage of males bearing Jacob of all males born in 2000 = 1.6516%

Required:

Number of Jacobs born in 2000

Solution:

Number of Jacobs born in 2000 = 1.6516% of number of males born in 2000.

[tex] = \frac{1.6516}{100}*2,086,814 [/tex]

[tex] = 0.016516*2,086,814 = 34,465.82 [/tex]

Number of Jacobs born in 2000 is approximately 34,466.

the outdoor temperature was 8 degrees at midnight the. temperature declined 5 degrees during each. of the next 3 hours what was the temperature at 3 A.M.

Answers

-7 degrees would be the answer

Subtract. Fill in the missing numbers, 14 - 8 = 8= _____ + ________ So, 14 - 8 = _______

Answers

Answer:

the answer is 6.

Step-by-step explanation:

I think they want you to skip count down by 4 and there's your anwser.

Hope I helped.

SJ

what is the difference in meaning between |-3| and -3.

Answers

Answer: the lines on the outside mean absolute value and the absolute value of -3 is 3

Step-by-step explanation:

hi, need help with math, if you could explain it also.

Answers

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the picture doesn’t show up :(

Which problem can be solved by division of decimals? How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon? What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0? Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save? Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

Answers

Answer:

Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

Step-by-step explanation:

Answer:

ITS D I TOOK THE TEST

Step-by-step explanation:



George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George weigh?

Answers

Easy Algebra question!

Let's use "x" as a variable.

The equation would be x+x+60 = 240 with "x" being George's weight.

Subtract 60 from both sides and you get 2x = 180.

From there you divide both sides by 2, getting x=90.

"x" is George's weight, so he weighs 90 pounds.

ANSWER: 90 POUNDS

The weight of George is 90 pounds and the weight of George's brother is 150 pounds.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

George weighs 60 pounds less than his older brother.

Together they weigh 240 pounds.

Let George weigh be x and his brother weigh be y.

x + y = 240 ...1

x = y - 60 ...2

Then from equations 1 and 2, we have

2x = 180

 x = 90

Then y will be

y = 90 + 60

y = 150

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

I will give brainiest help meh

Answers

Answer:

One real rational root

Step-by-step explanation:

x^2-4x+4=0

=>x^2-2x-2x+4=0

=>x(x-2)-2(x-2)=0

=>(x-2)(x-2)=0

=>x=2

Therefore one real rational root

Simplify:
(4xy^-6)^-3

[tex](4xy^{-6} )^{-3}[/tex]

Answers

Answer:

(4^-3)(x^-3) y^(18)

or

y^18/ (64 x^3)

Step-by-step explanation:

(4xy^-6)^-3

Distribute the exponent to all terms in the parentheses

(4^-3)(x^-3) (y^-6)^-3

a^ b^c = a^ (b*c)

(4^-3)(x^-3) y^(-6*-3)

(4^-3)(x^-3) y^(18)

If we do not want negative exponents

a ^ -b = 1/ a^b

y^18/( 4^3 x^3)

y^18/ (64 x^3)

-2(3y - 6) + 4(5y - 8) = 92

Answers

Answer:

y = 8

Step-by-step explanation:

[tex]-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8[/tex]

Answer:

Step-by-step explanation:

-6y + 12 + 20y - 32 = 92

14y -20 = 92

14y = 112

y = 8

What is -6+x-3 if x=2

Answers

Answer:

-7

Step-by-step explanation:

[tex]-6+x-3 \\x =2\\\\-6+2-3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-6+2=-4\\\\=-4-3\\\\=-7[/tex]

Answer:

-7

Step-by-step explanation:

So we have the expression:

[tex]-6+x-3[/tex]

And we want to evaluate it when x is 2.

So, substitute in 2 for x:

[tex]=-6+(2)-3[/tex]

Add the first two terms:

[tex]=-4-3[/tex]

Subtract:

[tex]=-7[/tex]

And that's our answer :)

10 + y = 3 solve for y plz help

Answers

Steps to solve:

10 + y = 3

~Subtract 10 to both sides

y = -7

Best of Luck!

Answer:

y= -7

Step-by-step explanation:

All you have to do is subtract 10 from both sides. This eliminates the 10 from the y side and leaves you with y= -7.

PLEASE HELP ME!I have a really hard time with algebra 2 and I really need to pass:(

Answers

Answer:

First problem:

Limiting the Domain to [tex]x\leq 0[/tex]   (option A in the list)

Second problem:

All the three statements are true, so pick option D)

Step-by-step explanation:

Recall that a function in order to have inverse needs to be a one-to-one function. In the case of the function they give you in the problem:

[tex]f(x)= 3x^2+1[/tex]

the graph corresponds to a parabola with vertex at x=0 and y=1 (0, 1), and since it has two branches that correspond to equal y-values for opposite pairs of x values, it doesn't satisfy the conditions for the existence of inverse. But if we limit the Domain of it considering just one half of the graph (for example limiting the Domain to the values to one side of the parabola's vertex, then this restricted function is one-to-one and we can find its inverse.

So the option of limiting the Domain to x-values smaller than or equal to zero, suggested in option A of the list of answers will do the job we need.

In the following problem, the three first statements are true for an inverse function, so pick option D that says that all previous statements are true.

I need help with this question

Answers

Answer:

Hey there!

[tex]d= \sqrt{(-1-(-3)^2+(-1-1)^2}[/tex]

[tex]d=\sqrt{8}[/tex]

d is approximately 2.8 units.

Let me know if this helps :)

Please help!!!!!!!!!!!!!!

Answers

Answer:  40 peaches

Step-by-step explanation:

Let x represent (1/2) the peaches

and y represent (1/2) the strawberries

          Peaches            Strawberries               Ratio

Alice:     x - 3                        y                           1:4

Bryan:     x                        y - 8                          1:3

We can create a system of equations:

Alice: 4(x - 3) = y      -->   4x - 12 = y

Bryan: 3(x) = y - 8  

Substitute y = 4x - 12 into the Bryan equation:

3x = (4x - 12) - 8

3x = 4x - 20

-x = -20

x = 20

Therefore, Alice and Bryan each had 20 peaches, which means Bryan bought a total of 40 peaches.

What is the additive inverse of -7.5? *

Answers

Answer:

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This operation is also known as the opposite (number), sign change, and negation.

Simplify the expression:
31 – (5 – 3 x 4)^2 + 2^6 / 4

a. -2
b. 10
c. 0
d. -3

Answers

Answer: A.-2 that the best answer hope this help yu

Step-by-step explanation:31 - (5 - 3 • 4)^2 + 2^6 / 4

31 - (5 - 12)^2 + 2^6 / 4

31 - (-7)^2 + 2^6 / 4

31 - 49 + 64 /4

31 - 49 + 16

-2

Answer:

A. -2

Step-by-step explanation:

31 - (5 - 3 • 4)^2 + 2^6 / 4

31 - (5 - 12)^2 + 2^6 / 4

31 - (-7)^2 + 2^6 / 4

31 - 49 + 64 /4

31 - 49 + 16

-2

AWARDING BRAINLIEST!!
Beth is solving this equation: 1/x+3=3/x
She says “I can multiply both sides by x and get the linear equation 1 + 3x = 3, whose solution is x = 2/3.”
Which of the following statements makes this a correct argument, or shows that it is incorrect? Select all that apply.

Question 1 options:

After multiplying both sides by x you need to subtract 1 from both sides


You can assume x ≠ 0 because both sides are undefined if x = 0.


You cannot multiply both sides by x because you do not know what x is.


The equation is not linear, so you cannot use the methods normally used for solving linear equations.

Answers

Answer:

1. After multiplying both sides by x you need to subtract 1 from both sides

2. You can assume x ≠ 0 because both sides are undefined if x = 0.

Step-by-step explanation:

Given

[tex]\frac{1}{x} + 3 = \frac{3}{x}[/tex]

Required

Which of the options shows the validity of Beth's action

The first option answers the question and the reason is as follows;

Multiply both sides by x

[tex]x * (\frac{1}{x} + 3) = \frac{3}{x} * x[/tex]

Open the bracket

[tex]1 + 3x = 3[/tex]

As stated in option 1; Subtract 1 from both sides

[tex]1 - 1 + 3x = 3 - 1[/tex]

[tex]3x = 2[/tex]

Divide both sides by 2

[tex]x = \frac{2}{3}[/tex]

Another correct option is the option 2

Because the expression is undefined if x = 0

See Proof by substituting 0 for x

[tex]\frac{1}{0} + 3 = \frac{3}{0}[/tex]

Division by 0 is undefined.

Hence, option 2 is also correct

The other options (3 and 4) are incorrect

20 items per hour x 24 hours per day x 30 days per hour

Answers

Answer: 480 items per day, and 14,00 items per mounth.

Step-by-step explanation:

20(24) = 480 items per day

480(30) = 14,400 items per month

Answer:

20x24x30=14,440

Step-by-step explanation:

given the point A(-3,-2) and B(6,1), select two possible locations for point P so that P partitions AB in the ratio 2:1
A. (0,3)
B. (3,0)
C. (-1,0)
D. (0,-1)
E. (1,-1)

Answers

Answer: (0,3) & (0,-1)

Step-by-step explanation:

Solve the equation. -10x + 1 + 7x = 37

A. X = -15
B. X =-12
C. X = 12
D. X = 15​

Answers

Answer:

B. X =-12

Step-by-step explanation:

- 10x + 1 + 7x = 37

-10x + 7x = 37 - 1

-3x = 36

x = 36/-3

x = - 12

Edwin raps for 10 minutes on Monday. On Tuesday he raps for an
hour. Find out how many minutes he has practiced so far this week.

Answers

Answer:1 hour and 10 mins

Step-by-step explanation: on Monday he raps for 10

Tuesday he raps for 1 hour

1 h +10m =1 h and 10 min

-35x+85x-24=26 what is x

Answers

Answer:

x=1

Step-by-step explanation:

-35x+85x-24=26

Combine like terms

50x -24 = 26

Add 24 to each side

50x-24+24 =26+24

50x = 50

Divide each side by 50

50x/50 = 50/50

x=1

Answer:

x=1

Step-by-step explanation:

subtract 35 from 85 which would equal 50 and then add x

so 50x-24=26

add 24 to 26 because you want x by itself

which would equal 50

50x=50

divide by 50 on both sides

50/50=1

x=1

how to solve for a b and c ​

Answers

Answer:

a=40. b=140. c= 40

Step-by-step explanation:

b is congruent To 140 because of the vertical angles postulate that states two angles vertical from one another are congruent.

a is 40 because it is Supplementary to b Which means that the sum of a and b must add up to 180.

c is Congruent to a due to the vertical angles postulate

So B is 140 because D is 140, A and C are 40 because 140+140=280. 360-280=80 Divided by 2 equals 40

In a geometric sequence, the 5th term is 9 and the 7th term is 36. Use the geometric
mean to find the 6th term.

Answers

Answer:

18

Step-by-step explanation:

you need to get from 9 to 36 in 2 steps by multiplying, so you need to find what gets 9 to 26 in one turn. 9*4=36, and because 4 is square we know you can multiply by 2 twice to get the same effect. 9*2=18. and just to make sure we can check that 18*2=36

1
What is an equivalent form of the following function?
f(x) = 4(x - 1)2 + 12
O A. f(x) = 4x2 - 8x + 16
O B. f(x) = 4x2 - 8x + 8
OC. f(x) = 4x2 - 2x + 16
OD. f(x) = 4x2 + 8x + 8

Answers

C. F(x)=4x2-2x+16 .....:...
Your answer is F(x)=-1/2 or -0.5

Isabella left a 15% tip for a meal. The total cost of the meal, including the tip, was $23. What was the cost of the meal before the tip was added?

Answers

Answer:

the meal was $3.45

Step-by-step explanation:

Answer: cost before tip is $20

Step-by-step explanation:

Tip=20(0.15)

= 3

Total = Cost + Tip

= 20 + 3

= 23

pls answer these questions for me pls and thanks

Answers

Answer:

16= 4²

25= 5²

36= 6²

49= 7²

64= 8²

81= 9²

so, third option is correct I.e. 49

hope it will help....

1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a plane.b) a line.c) a circle.d) a point.2) What does the equation y + 3x = 2 represent in R^3? a) a plane.b) a circle.c) a line.d) a point.What does z - 4y = 8 represent? a) a line.b) a circle.c) a point.d) a plane.What does the pair of equations y = 2, z = 8 represent? In other words, describe the set or points (x, y, z) such that y = 2 and z = 8. a) a line.b) a circle.c) a plane.d) a point.

Answers

Answer:

The equation [tex]x=4[/tex] represents in R^2 c) a line

The equation [tex]x=4[/tex] represents in R^3 a) a plane

The equation [tex]y+3x=2[/tex] represents in R^3 a) a plane

The equation [tex]z-4y=8[/tex] represents d) a plane

The pair of equations [tex]y=2,z=8[/tex] represents a) a line

Step-by-step explanation:

Let's start by studying each question :

1)

In R^2 , [tex]x=a[/tex] with [tex]a[/tex] ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set [tex]x=4[/tex] we will have only one free variable in R^2 (which is a line in R^2). Therefore, [tex]x=4[/tex] represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set [tex]x=4[/tex] we will have only two free variables (y and z) and [tex]x=4[/tex] will represent a plane (which have two dimensions) in R^3.

2) The equation [tex]y+3x=2[/tex] in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation [tex]y+3x=2[/tex] in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation [tex]z-4y=8[/tex] represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations [tex]y=2,z=8[/tex] set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

Which list shows these numbers in ascending order?
-V6, 2, -23, 2.5

Answers

-v6,-23,2,2.5
Correct to ascending order
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