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?
Answers
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
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 :)
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
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.
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.
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.
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 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:
Which list shows these numbers in ascending order?
-V6, 2, -23, 2.5
Answers
Correct to ascending order
What is -6+x-3 if x=2
Answers
Answer:
-7Step-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 :)
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
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)
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
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
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
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:
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
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
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.
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....
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
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
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.
-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
-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
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
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:
hi, need help with math, if you could explain it also.
Answers
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
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
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: