Bill, Bob, and Barry are hired to paint signs. In 8 hours Bill can paint 1 sign, Bob can paint 2 signs, and Barry can paint 1 and 1/3 signs. They all come to work the first day, but Barry doesn't like the job and quits after 3 hours. Bob works half an hour longer than Barry and quits. How long will it take Bill to finish 2 signs they were supposed to paint?

Answers

Answer 1

Answer:
Bill will take a total of 5 hours (or 1½ hours additional after Bob quits).

Related Questions

A triangle has base 6 cm and area 42 cm^2 what is the height of the triangle

Answers

To find the area of a triangle, the formula is
A=bh/2
42=6h/2
Divide both sides by 6 giving you
h/2=7
Then, multiply by 2 on both sides giving you
h=14
The height then is 14 cm.

Final answer:

The height of the triangle is 14 cm.

Explanation:

To find the height of the triangle, we can use the formula for the area of a triangle: Area = 1/2 * base * height. In this case, the base is 6 cm and the area is 42 cm^2. By rearranging the formula, we can solve for the height: Height = 2 * Area / Base. Plugging in the values, we get Height = 2 * 42 cm^2 / 6 cm = 14 cm.

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What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?

Answers

find the slope of the line given:

y = mx+b

y = -3x/2 -7/2

slope = -3/2

the slope of the perpendicular line is the negative reciprocal

so answer is 2/3

The answer is 0.66, or 2/3. Graph the line, and then use a protractor to create a line perpendicular to the line. Then, calculate the slope of the line.

Rob cuts 15-foot wire into 8 equal pieces. About how long is each piece

Answers

The technical answer is 1.875
but about would be 2 ig

Heyo!

The answer is 1.875 ft.

You can solve this by dividing 15 ft by 8 to get your length per piece.

Which graph represents the solution set of the system of inequalities?

Answers

Answer:
(see image)
bottom right image

Explanation:
First try the origin (0,0) to rule out two of the graphs.
3y ≥ x - 9
3(0) ≥ (0) - 9
3 ≥ - 9 yes
3x + y > - 3
3(0) + (0) > - 3
3 > - 3 yes
so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs.
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa.
Try point (4, 2)
3y ≥ x - 9
3(2) ≥ (4) - 9
6 ≥ - 5 yes
3x + y > - 3
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3 yes
So the graph is the bottom right one since (4, 2) is included in that shaded region.

The length of a rectangle is four times its width. If the perimeter is at most 100 centimeters, what is the greatest possible value for the width? Question 17 options:

Answers

if l=4w:
l=40, w = 10
40+40+10+10=100cm
anything bigger isn't allowed, so the width is 10cm

Odette deposited $3,624.40 into a savings account with an interest rate of 2.1% compounded annual. About how long will it take for the account to be worth $7,000?

A. 31 years, 9 months

B. 30 years, 9 months

C. 28 years, 4 months

Answers

7000 = 3624*(1+0.21)^x

7000 = 3624 *1.021^x

7000/3624 = 1.021^x

875/453 = 1.021^x

xlog(1.021 = log(875/453

x = 31.677

31 years 9 months

Answer:

Option A is the answer.

Step-by-step explanation:

p = 3624.40

r = 2.1% or 0.021

n = 1

t = ?

A = 7000

Compound interest formula is :

[tex]A=p(1+\frac{r}{n})^{nt}[/tex]

Substituting the values in formula:

[tex]7000=3624.40(1+\frac{0.021}{1})^{t}[/tex]

=> [tex]\frac{7000}{3624.40} =(1.021)^{t}[/tex]

=> [tex]1.93135=(1.021)^{t}[/tex]

[tex]t=\frac{log1.93135}{log1.021}[/tex]

=> t = 31.670 years.

Closest to option A.

What theorem or postulate can prove a triangle to be an isosceles?

Answers

Final answer:

The Converse of the Base Angles Theorem states that if two angles of a triangle are congruent, then the triangle is isosceles.

Explanation:

In geometry, the theorem that can prove a triangle to be isosceles is the Converse of the Base Angles Theorem. It states that if two angles of a triangle are congruent, then the triangle is isosceles. In other words, if the two base angles of a triangle are equal, then the triangle is isosceles. For example, if angles A and B in triangle ABC are congruent (angle A = angle B), then triangle ABC is isosceles.

What is the probability of throwing a number greater than 4 when rolling a number cube that has sides labeled 1, 2, 3, 4, 5, 6?

Answers

What is probability rolling a number greater than 4?

The only numbers there are is 5 and 6.
That means that there are 2 outcomes out of 6 total outcomes.
That would be 2/6.
Divide the the top and bottom by 2.
In simplest form it would be 1/3.
2/6=1/3

The answer is 1/3. The probability of throwing a number greater than 4 is 1/3.

Final answer:

The probability of rolling a number greater than 4 on a six-sided die is 1/3 or 0.33 or 33%. This is obtained by dividing the number of favourable outcomes (2, i.e., 5 and 6) by the total number of outcomes (6).

Explanation:

The subject of the question is the probability in mathematics, specifically related to an experiment involving rolling a six-sided die. To answer your question, a six-sided die has numbers from 1 to 6. But you are asking about throwing a number greater than 4. There are only two outcomes that are greater than 4, the numbers 5 and 6. Therefore, the possible favorable outcomes are 2.

The total outcomes (since it's a six-sided standard die) are 6. Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, it will be 2/6 = 1/3 which is approximately 0.33 or 33%.

This means, if you roll the die, on an average, you can expect to roll a number greater than 4 about 33 times if you roll it 100 times.

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Which term describes gross pay that is calculated based on the number of hours an employee has worked?

Answers

The term for this is Hourly wage. This can be then used for calculating the gross annual salary.

hope this helps you.

Answer: Hourly wage

Step-by-step explanation:

The term "hourly wage" describes the gross pay that is calculated based on the number of hours an employee has worked.

The hourly wage is the amount of money that is earned by a employee for every hour worked or it is the amount of money paid by employer for every hour worked.

Here, the gross pay is calculated by multiplying the hourly wage to the number of hours worked.

Can someone how to get the answer? Thanks! PLEASE HELPpppppppppppppppppppppppp

Answers

[tex]\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right) \ \textgreater \ \ln \left(6^x\right)=\ln \left(21\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\ \log _a\left(x^b\right)=b\cdot \log _a\left(x\right) \ \textgreater \ \ln \left(6^x\right)=x\ln \left(6\right) [/tex]

[tex]x\ln \left(6\right)=\ln \left(21\right) \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}\ln \left(6\right) \ \textgreater \ \frac{x\ln \left(6\right)}{\ln \left(6\right)}=\frac{\ln \left(21\right)}{\ln \left(6\right)} [/tex]

[tex]Therefore \: x=\frac{\ln \left(21\right)}{\ln \left(6\right)}[/tex]

In your case ln means [tex] \frac{log 21}{log 6} [/tex]

in your graphing calculator you have to press the button (2nd) then (catalog) which is the number (0).
after that you press (ALPHA) (L) which iOS the button for the parenthesis (. ). )
find LOG and then plug in the number you want.
repeat this until you get the equation you want.

For all real numbers a and b if a not equal to 0 and b not equal to 0 then a^2 + b^2 does not equal (a+b)^2

Answers

no the answer would be (a+b)^4 hope this helps you out

State a true conclusion. 1) If a ● b = 0, then a = 0 or b = 0 2) 3x = 0

Answers

Proposition 1) If a ● b = 0, then a = 0 or b = 0

Proposition 2) 3x = 0

=> 3 = 0 or x = 0

Given that 3 ≠ 0, x must be equal to 0.

Conclusion: x = 0

Answer:

x=0

Step-by-step explanation:

Proposition 1) If a ● b = 0, then a = 0 or b = 0

Proposition 2) 3x = 0

=> 3 = 0 or x = 0

Given that 3 ≠ 0, x must be equal to 0.

Conclusion: x = 0

Does a negative minus a negative equal positive

Answers

Yes. As an example, (-5)-(-5) = -5+5=0

yeah. a two negative numbers equal a positive answer.

[02.05]
Solve for x: 4 − (x + 2) < −3(x + 4) (1 point)

x < −7

x > −7

x < −9

x > −9

Answers

first, get rid of the paranthesis:
4-x-2<-3x-12 => 2-x<-3x-12
next, eliminate x on one side. here I'll eliminate -3x by adding 3x on both side:
2+2x<-12
2x<-14
x<-7

Option A

x<-7

Given :

[tex]4 - (x + 2) < -3(x + 4)[/tex]

Explanation :

Solve the given inequality for x by applying algebraic properties

We use order of operation to simplify the left and right side of inequality

[tex]4- (x + 2) < -3(x + 4)\\4-x-2<-3x-12\\-x+2 < -3x -12\\Add\; 3x \; on \; both \; sides\\2x+2<-12\\Subtract\; 2\; from \; both \; sides\\2x<-14\\Divide \; both \; sides \; by 2\\x<-7[/tex]

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What is the value of x in the parallelogram?

Answers

The value of x is (180-67) = 113 degrees.

Extra information:

In a parallelogram, the consecutive angles are supplementary (so in this case, that means that because the line from corner x to the corner of 67 degrees is 180 degrees in total, the value of x has to be 180-67 = 113 degrees).

The expression 3x² represents

Answers

Final answer:

The expression 3x² signifies a quadratically powered variable (x) that is multiplied by the coefficient 3, commonly seen in algebraic equations.

Explanation:

The expression 3x² represents a mathematical formula where the variable x is squared (multiplied by itself) and then multiplied by 3. The squaring of a variable is a fundamental concept in algebra that symbolizes a number raised to the power of 2.

The coefficient 3 in this case indicates that the square of x is being tripled. Therefore, if x is 2, x² would be 4, and 3x² would be 12. This type of expression is essential in solving quadratic equations and appears frequently in various mathematical contexts.

Is 81 a multiple of 3 explain why

Answers

Yes, 81 is a multiple of 3 because 9 times 9 is 81 and 9 is a multiple of 3. (3x3=9)
Hope this helps.

Hi.

The divisibility rule of 3 states that if the sum of the digits in the number add up to a multiple of 3, it is divisible by 3.

To put it in simpler words, to find out if 81 is a multiple of 3 we must add 8 & 1.

8 + 1 = 9

9 is a multiple of 3 (3 • 3 = 9).

81 is a multiple of 3.

I hope I helped you understand!

What is the value of cos 45 degrees?
(answers in picture)

Answers

The answer will be b

Which pair of triangles are congruent by ASA ?

Answers

the answer for this question is D because it has an angle then a side measurement then it has another angle measurement

The pair of triangles that are congruent by ASA is figure C

The ASA theorem

Two triangles can be judged to be congruent using the ASA (Angle-Side-Angle) criterion. For triangles to satisfy ASA congruency:

Angle: The triangles' two matching angles have to coincide.Side: There must also be congruence on the included side that lies between the congruent angles.

Put otherwise, the ASA criterion determines that two triangles are congruent if two of their angles and the included side are congruent, respectively. For this criterion, the angles and sides' order matters.

Based on the explanations, hence the pair of triangles that are congruent by ASA is figure C

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Simplify 7t · s · 3rt.

10rst
10rst2
21rst2

Answers

Putting it like 7*t*s*3*r*t and multiplying like terms using the commutative property, we get 21*t²*s*r or 21rst²

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 7t · s · 3rt, when simplified will be equal to 21rst². The correct option is C.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 7t · s · 3rt can be written as,

7t · s · 3rt

= 7 × t × s × 3 × r × t

= 21rst²

Hence, the given expression 7t · s · 3rt, when simplified will be equal to 21rst².

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a line that passes through two sides of triangles divides the sides proportionally

A. always
B. sometimes
C. never

Answers

The answer is B: Sometimes

The possible answer is B: sometimes so good luck

Important state labor laws and safety regulations came about as a result of the 1911 __________.
a. labor relations act
b. triangle shirtwaist factory fire
c. homestead strike
d. massachusetts child safety campaign

Answers

b. triangle shirtwaist factory fire

Answer:

Option B is correct.

Step-by-step explanation:

Important state labor laws and safety regulations came about as a result of the 1911 - Triangle shirtwaist factory fire

The Triangle shirtwaist factory fire was one of the worst industrial disasters during that time. Many people died due to a fire breakout in the factory. They could not escape the building and died due to smoke inhalation or burns.

After this incident, a Committee on Public Safety was formed that led to a legislation requiring labor laws and improved factory safety standards.

Eric and his work crew have 50 trees o plant. In 8 hours today, they planted 40 trees. If the work at the same rate tomorrow, how long will it take to finish planting the trees?

Answers

it will take them 1 hour and 25 minitues to plant 10 trees tomorrow

Calc Question :fuel cost Please help me.

Answers

Disclaimer, I'm in pre-ap algebra 2, not calc lol. But based on common knowledge + a quick google search, I'm fairly certain this is the right answer.

So, first you need to find how many gallons the car uses per year.
Since x is the number of gallons, this would be 15000/x.

Now, you need to multiply however many gallons the car used by 2.95 to get the cost, C.
C=2.95(15000/x) is your function for this problem.
However, this can also be written as C=[tex] \frac{44250}{x} [/tex].

Let's fill in the row for C first.
Starting with 10 mpg.
44250/10
4425

So the first value should be 4425. Keep on doing this for the rest.

Now for dC/dx, this means rate of change in C caused by a change of the value x.
Starting with 10 mpg.
-4425/10
-442.5

So in the end, the table should look like this (approximating to decimals)
[tex] \left[\begin{array}{cccccccc}x&10&15&20&25&30&35&40\\C&4425&2950&2212.5&1770&1475&1264.29&1106.25\end{array}\right] [/tex]
[tex] \left[\begin{array}{cccccccc}\\dC/dx&-442.5&-196.67&-110.635&-70.8&-49.17&-36.12&-27.66\end{array}\right] [/tex]

The driver who gets 15 mpg would benefit more because
(-44250/16)/16 = -172.85
(-44250/36)/36 = -34.14

The driver with 15 mpg saves much more money than the driver with 35 mpg.

Once again, not fully certain if that is correct, but the answer seems logical to me, and I did google a bit to check it.

Solve the inequality
7x ≥ -7

a. x ≤ -1
b. x > -14
c. x ≥ -1
d. x ≥ 14

Answers

7x ≥ -7

Divide both sides by 7 to get x by its self....

x ≥ -1 is the answer ..

To check substitute the -1 for x in the inequality..

7(-1) ≥ - 7
- 7 ≥ -7

It is correct because - 7 is greater than or EQUAL TO -7

Answer:

A: x ≥ -1

its rightc bc

I have a box of nickels and dimes. When I counted the money, I was surprised to see that I have exactly $20. Then it occurred to me that, if my nickels were dimes and my dimes were quarters, I would have $46.25. How many dimes and nickels are in the box?

Answers

It depends. There could be ten dimes and twenty nickels or one dime and thirty-nine nickels. Maybe word this differently.

There are 150 nickels and 125 dimes in the box.

Let x = the number of nickels in the box

Let y = the number of dimes in the box

Firstly, we have to convert value of nickels and dimes into cents.

Value of 1 nickel = 5 cents

Value of 1 dime = 10 cents

Value of 1 dollar = 100 cents

Thus, the equation (1) (in cents) can be written as:

x + 2y = 400 Equation (1)

If my nickels were dimes and dimes were quarters:

A quarter is worth 25 cents.

Thus, the equation (2) (in cents) can be written as:

5x+10y =2000

5(x+2y)= 2000

x+2y = 2000/5

2x + 5y = 925 Equation (2)

Multiply Equation (1) by "2", we get:

10x +25y= 4625

5(2x+5y)=4625

2x+5y=4625/5

2x + 4y = 800 Equation (1)

Subtraction Equation (1) from Equation (2):

2x +5y-2x -4y=925-800

y= 125

2x + 5y = 925

2x + 5 × 125 = 925

2x + 625 = 925

2x = 925 - 625

2x = 300

x = 150

There are 150 nickels and 125 dimes in the box.

Here, we can check it by putting the value of x and y in Equation (1):

5x + 10y = 2000

5× 150 + 10 × 125 = 2000

750 + 1250 = 2000

2000 = 2000

There are 150 nickels and 125 dimes in the box.

Use the graph shown to fill in the blank.

When x = -3, then y = a0.

Answers

All you need to do is read the value of y that corresponds to x=-3
you will find that:
y= -6 at x= -3

(0, -3)(-1,-4)

slope = (-3+4)/(0+1) = 1 and b = -3
so y = 7x - 3
when x= -3 then
y = 1(-3) -3
y = -3 - 3
y = -6

answer
When x = -3, then y = -6

PLESEEE HELP I WILL GIVE THE BRAINLIEST TO THE BEST ANWSERS
Which word sentence represents the equation?

6(x + 3) = 42

A)The sum of 3 and six times some number is 42.

B)Three plus 3 times some number is 42.

C)Six times some number plus 3 is 42.

D)Six times the sum of a number and 3 is 42.

What is the solution set for 3x + 2 = 14, given the replacement set {1, 2, 3, 4} ?

A)x = 1B)x = 2C)x = 3D)x = 4

Answers

The answer to the first question is D.)

The 6 in front of the parentheses modifies both 'x' and 3

The answer to the second question is D.)

When you plug 4 into the equation, you get 14

3(4) + 2 = 14
12 + 2 = 14
14=14

Hope this helps!

the answers are D and D.

Let p: The shape is a rhombus. Let q: The diagonals are perpendicular. Let r: The sides are congruent. Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent”?

Answers

Given that p represents "The shape is a rhombus", q represents "The diagonals are perpendicular", and r represents "The sides are congruent".

"if and only if" is represented using the biconditional logic operator (↔) and "and" is represented using the logical conjuction operator (∧).

Therefore, "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent” is represented by "p ↔ (q ∧ r)"

Answer:

C.)p ↔ (q ∧ r)

Step-by-step explanation:

I scored a 100 on my quiz

I have a graphing question

Answers

The point slope form of the equation of a straight line is given by

[tex](y-y_1)=m(x-x_1)[/tex]

where [tex](x_1,\ y_1)[/tex] is a point on the line.

Given

[tex]y-3=\frac{3}{4}(x+2) \\ \\ y-3=\frac{3}{4}(x-(-2))[/tex]

Thus the line has a slope of 3/4 and passes through the point (-2, 3), we can obtain another point on the line by substituting an arbitrary value for x.

Consider x = 2, then

[tex]y-3= \frac{3}{4} (2+2)= \frac{3}{4} (4)=3 \\ \\ \Rightarrow y=3+3=6[/tex]

Thus another point on the line is (2, 6).

The line can then be graphed by joining the two points.

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