Elam can wire a light in 40
minutes. Michael can wire a
light in 60 minutes. How long
would it take them to wire the
light together?

Answers

Answer 1

Answer:

24 minutes

Step-by-step explanation:

We use 1/a + 1/b = 1/c

where a and b are the individual times and c is the time together

1/40 + 1/60 = 1/c

Multiply each side by 120c

120c( 1/40 + 1/60 = 1/c)

3c + 2c = 120

5c = 120

Divide each side by 5

5c/5 = 120/5

c = 24

Answer 2

Answer: 24 minutes

Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.

Since Elam can wire a light in 40 minutes, we know that in 1 minute,

Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.

Therefore, in t hours, Elam can wire t/40 of the light.

The same applies for Michael, in t hours, he can wire t/60 of the light.

So to solve the problem, we use the following formula:

Part of job done by Elam + part of job done Michael = 1 job done

The part of the job done by Elam is t/40 and t/60 for Michael.

So we have t/40 + t/60 = 1.

Now multiply both sides by 120 to get 3t + 2t = 120

or 5t = 120 so t = 24.

So it takes 24 minutes if they work together.


Related Questions

help please for my math!!!!!!!!!!!

Answers

Answer:

perimeter for rectangle: (x-2+x+2)×2=4x

perimeter for triangle : 2x-8+2x-8+x+6

=5x-10

The question said both geometry has same perimeter,so we have equation :

4x=5x-10

=>x= 10

put x in triangle's perimeter: 2×10-8+2×10-8+10+6

= 40

Step-by-step explanation:

the answer is C, hope you understand it

Which of the following represents the range of the graph of F(x) below?

Answers

C I think because I was taught this

Find the zeros of f(x)=x(x−2)(x+5)

Answers

x = 2 and -5

It’s just the opposite numbers.

four plus negative two divided by negative three plus three

Answers

Answer:

23/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify and set up

4 + -2 ÷ -3 + 3

Step 2: Evaluate

Divide:                                                                                                               4 + 2/3 + 3Add:                                                                                                                   14/3 + 3                                                                                                              23/3

WILL GIVE U BRAINLIEST
What is the incenter of a triangle and what is a special property of it?

A. The point within a triangle where all three angle bisectors intersect. This is equidistant from the sides of a triangle

B. The point where all three medians of a triangle intersect. Each median will be divided and in a 1/3 and 2/3 proportionality

C. The point within a triangle where all three perpendicular bisectors of the sides intersect. This is equidistant from the angles of a triangle.

D. The point where all three altitudes of the triangle intersect

Answers

Answer:

A. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter .

B. All triangles have three medians, which, when drawn, will intersect at one point in the interior of the triangle called the centroid

C. A point where three or more lines intersect is called a point of concurrency.

D. The three altitudes of a triangle intersect at the orthocenter,

Find the measures of angle 1 and 2.
110°
80°

Answers

Answer:

110 and 100

Step-by-step explanation:

Angle 2 will have the same messurement as the one across, so 110

Angle 1 will be the difference between 180 and 80, so 100

What scale factor was used to transform f(x) into g(x)?

Answers

Answer:

The scale factor is k = 4.

Step-by-step explanation:

In the graph, we can see that g(x) is a dilation from f(x)

And a general vertical dilation of scale factor k is written as:

g(x) = k*f(x)

So here we want to find the value of k.

In the graph, we can see that:

f(1) = 1.5

f(3) = 0.5

Now, the values of g(x) in those x-values are:

g(1) = 6

g(3) = 2

And we must have:

g(1) = k*f(1)

g(3) = k*f(3)

we should get the same value of k in both equations, now let's replace the values of the functions:

For the ones evaluated in x = 1, we get:

6 = k*1.5

6/1.5 = k = 4

for the cases evaluated in x = 3, we get:

2 = k*0.5

2/0.5 = k = 4

In both cases we got the same value of k, so we can conclude that the scale factor from f(x) into g(x) is k = 4

Tamika works in a shoe store and is paid a 12%
commission on her sales. In January her sales total
was $3740. To the nearest dollar, how much did
Tamika earn in commission for January?

Explain correctly. No nonsense, please.

Thank you

Answers

Multiply 3740 by .12

Select the correct answer. describe the zeros of the graphed function

Answers

Answer:

The zeroes are at (-2, 0), (0, 0) and (2, 0).

The (0, 0) is a double root as the graph just touches the x axis at (0, 0).

The zero at (0, 0) is sometimes referred as  x = 0 (multiplicity 2).

I think the duplicate roots are counted as 2 distinct roots but im not sure.

So the answer is either a or c.

Step-by-step explanation:

The zeroes are the points where the graph cuts the x axis.

Answer:

a

Step-by-step explanation:

Answer for brainlest

Answers

Answer:

Step-by-step explanation:

angle 3 and angle 4 are co interior angles.so,

angle 3+angle 4=180 degree

sum of co interior angle is always 180 degree.

Answer: Angle 3 and 5 = 180° because consecutive angles formed by parallel lines are supplementary

Step-by-step explanation:

It should be noted that Angle 3 and 5 = 180° because consecutive angles formed by parallel lines are supplementary.

For example, if angle 3 is 60°, the value of angle 5 will be:

= 180° - 60°

= 120°

help me plz and thanks 74%of 41

Answers

Answer:

30.34

Step-by-step explanation:

easy math pppppppppp

After a recent trip to the zoo, students were asked to write a statement about the big cats at the zoo.Which of the statements uses categorical data?

Answers

the answer is I don't know

Can someone answer this?

Answers

the answer is (((C)))

helppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

draw the net

there are 3 squares, each with a L = 5m and W = 1.5 +1.5m

2 triangles with a base of 1.5 + 1.5 and a height of 2.6m

Area of a rectangle = L x W

" " Triangle = 0.5 x b x h

so youd write and solve 3 rectangles x ( 5 m x 1.5 + 1.5) + 2 triangles x (0.5 x (1.5 +1.5) x 2.6m)

also look up the equation for surface area for this shape. Should give you the same thing. This method makes it more intuitive

Find the mid point of (7,-8) and (-1,6)

Answers

Answer:

(3, -1)

Step-by-step explanation:

(3,-1)

I think this is the answer hope it helps!!

The distance by road from town A to town B is 257 km. What is 50% of that distance?

Answers

Answer: 128.5km

Step-by-step explanation:

Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:

= 50% × 257km

= 50/100 × 257km

= 0.5 × 257km

= 128.5km

Therefore, 50% of the distance is 128.5km.

pls help.. person with correct answer will be marked brainliest

Answers

Answer:

x = 43.4°

Step-by-step explanation:

when two straight line intersects, angles directly opposite of each other has the same value.

Answer:43.4

Explanation:opposite sides are congruent

Good luck:’)

Help me PLEASEEEEEEEEEEEEE

Answers

Answer: d

Step-by-step explanation:

its d

The effect of wearing different types of running shoes on the time it takes to complete a race is being studied in experiment. which of these is most likely to be an extraneous factor that could also affect the time it takes to complete the race?

Answers

Answer:

A. Weather conditions

Step-by-step explanation:

convert 0.5kg to ounces

Answers

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

Answer:

17.637

Step-by-step explanation:

8 divided by two -thirds of x. PLS SOLVE THIS FOR ME ASAP​

Answers

Answer:

12 [tex]x[/tex]

Step-by-step explanation:

8 divided by two-thirds of x is

⇒ 8/2/3 × [tex]x[/tex]

⇒ 8 × (3/2) [tex]x[/tex]

⇒ 8×3 [tex]x[/tex] / 2

⇒ 24 [tex]x[/tex]/ 2

∴ 12 [tex]x[/tex]

A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?

Answers

So first y do is is add 5+7 and add 3/10 + 7/10 equal 10/10 so 5+7 + 1 is 13 she used 13 bags of flour the second week she used 1 more than last week

Answer:

B. 1 6/10

Step-by-step explanation:

”How many more” means find the difference.
So first you convert the fractions:

5 7/10= 57/10

7 3/10=73/10

Subtract the two converted fractions and you get a difference of 16/10 then you will simply 16/10, which becomes 1 6/10.

A psychiatrist is interested in finding a 90% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below show the tics in an observed hour for 13 randomly selected children with Tourette syndrome. The population standard deviation is σ=4.08.

Required:
a. To compute the confidence interval use a, z or t distribution?
b. With 90% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ______ and _______ .

Answers

Answer:

a) z-distribution is used, as we have the standard deviation for the population.

b) Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.

Step-by-step explanation:

a. To compute the confidence interval use a, z or t distribution?

We have the standard deviation for the population, and thus, the z-distribution is used.

b. With 90% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ______ and _______ .

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{4.08}{\sqrt{13}} = 1.86[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is [tex]\overline{x} - 1.86[/tex]

The upper end of the interval is the sample mean added to M. So it is [tex]\overline{x} + 1.86[/tex]

Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.

Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second. Using formula H(t) = - 1612 + vt + s, what is the maximum height the soccer ball reaches?. Using the formula HC -1662 + vt +s, what is the maximum height the soccer ball reaches? ​

Answers

Answer:

The maximum height the soccer ball reaches is 9.77 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second.

The formula for the height is:

[tex]h(t) = -16t^2 + v(0)t + h(0)[/tex]

In which v(0) is the initial velocity and s(0) is the initial height.

Initial velocity of 25 feet per second means that [tex]v(0) = 25[/tex]

Kicked off the ground means that [tex]h(0) = 0[/tex]. So

[tex]h(t) = -16t^2 + 25t[/tex]

Which is a quadratic equation with [tex]a = -16, b = 25, c = 0[/tex].

The maximum value is:

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

In which

[tex]\Delta = b^2-4ac = 25^2 - 4(-16)(0) = 625[/tex]

[tex]y_{v} = -\frac{\Delta}{4a} = \frac{625}{4(16)} = 9.77[/tex]

The maximum height the soccer ball reaches is 9.77 feet.

Which function is not graph correctly? A. y=cos x. B. y=cot x. C. y=sin x. D.y=tan x. (GRAPHS in photo)

Answers

Answer:

We will begin with the graph of the tangent function, plotting points as we did for the sine and cosine functions. Recall that

tan

x

=

sin

x

cos

x

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on

π

2

to

π

2

, we can see the behavior of the graph on one complete cycle. If we look at any larger interval, we will see that the characteristics of the graph repeat.

We can determine whether tangent is an odd or even function by using the definition of tangent.

tan

(

x

)

=

sin

(

x

)

Step-by-step explanation:

Answer:

it is y=sin x

Step-by-step explanation:

i got it right on the test

A theater has sold 70% of the tickets
for an upcoming show. If it has sold
63 tickets so far, how many tickets
are left?

Answers

90 , best of luck , on ur finals!!!


Line DE is a_______

Answers

Answer:

Tangent

Step-by-step explanation:

Tangent - A line that intersects the circle at exactly one place

CAN ANYONE HELP NE WITH THIS ONE TOO??

Answers

Answer:

326.56 in².

Step-by-step explanation:

Mathematics: Define/explain.

SURFACE AREA: The measure of the total area that an object occupies.

The formula for finding the surface area for a cylinder is:

[tex]SA=2\pi r^2+2\pi rh[/tex]

[tex]r-radius[/tex]

[tex]h-height[/tex]

Mathematics: Solve.

According to the image, the cylinder has a height of 9 inches and a base radius of 4 inches.

Now, we can plug the numbers into the formula.

[tex]SA=2\pi 4^2+2\pi4*9- (2*3.14*4*4)+(2*3.14*4*9)=326.56.[/tex]

Mathematics: Conclude.

Therefore, the surface area of this cylinder is 356.56 in².

I think u have to multiply all the numbers together

Find the missing probability.

Answers

Answer: d

Step-by-step explanation:

The initial condition for a one-dimensional transient conduction problem is the specification of:_______.
A. the time at which the solution to the problem starts.
B. the properties at the start of the solution.
C. the temperature at the initial time throughout the domain.
D. None of the above

Answers

Answer:

C

Step-by-step explanation:

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