Carl owns a company that washes the windows of office buildings. He recently signed a contract for a large office building and estimates that it would take 2 days for 4 workers to wash the windows. Write an equation to describe the relationship between time (t) and the number of workers (n), which are inversely proportional.

Answer:

Step-by-step explanation:

3/8 x 5/5 = 15/40

7/10 x 4/4 = 28/40

15/40, 28/40

The least common denominator of the two pairs of fractions is 15/40 are 28/40. which is the correct answer would be an option (A).

The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

We have to determine the least common denominator of the two pairs of fractions.

The fractions are 3/8, and 7/10

⇒ 3/8

Multiply by 5/5 in the fraction,

⇒ 3/8 × 5/5 = 15/40

⇒ 7/10

Multiply by 4/4 in the fraction,

⇒ 7/10 × 4/4 = 28/40

Therefore, the least common denominator of the two pairs of fractions is 15/40 are 28/40

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Answer:

the first one

Step-by-step explanation:

7 - (-5) - 1 = 7 + 5 - 1 = 11

3 + 9 - 18 = -6

4 + (-14) - 5 = 4 - 14 - 5 = -15

8 - 12 - (-4) = 8 - 12 + 4 = 0

Answer:

you want a specific place as an answer? or the mileage?

Answer:

P(E)=1/2

Step-by-step explanation:

Total numbers=6

Numbers greater than or equal to 4= 3(4,5,6)

P(E)= favourable outcomes/total outcomes

P(E)=3/6

     =1/2

Answer:

4/6

Step-by-step explanation:

probability of rolling a num greater than or equal to 4 = 4/6

=2/3

( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )

Simplify the expression.

53 n

Answer:

The simplified solution to this expression is 5n⁴ + 11n³

Step-by-step explanation:

(5n³ + n⁴ - 5) - (-5 - 6n³ - 4n⁴)

Distribute the negative sign to (-5 - 6n³ - 4n⁴)

5n³ + n⁴ - 5 + 5 + 6n³ + 4n⁴

Group like terms.

(4n⁴ + n⁴) + (6n³ + 5n³) + (-5 + 5)

Combine like terms.

5n⁴ + 11n³

Answer:

B. Short-term memory

Step-by-step explanation:

Response variable is a dependent variable. It is dependent on the explanatory variable that is referred to as the independent variable.

In research study, the response variable is what is usually measured by the researcher. In the case given above, short-term memory is the response variable, which is dependent on exercise.

Answer:

14x + 10

Step-by-step explanation:

distribute and add

Answer:

-1/20

Step-by-step explanation:

r/2 + s/r - r/4 + 1/5 =

= -1/2 + 0/(-1) - (-1)/4 + 1/5

= -1/2 + 1/4 + 1/5

= -10/20 + 5/20 + 4/20

= -5/20 + 4/20

= -1/20

Answer:

k=21

Step-by-step explanation:

Find the slope of MN which is 1/5, (use the slope formula.)

Use the slope formula for AB using k as y_2

Substitute and you get k=21

21-2.25/-2.25-1.5=-5

The lines are perpendicular because the slopes are the negative reciprocal of one another.

For K = 5.3, the line segments are parallel.

We have endpoints of segment MN have coordinates (0, 0), (5, 1) and  endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k).

We have to determine the value of k that makes these segments parallel.

For lines to be parallel - slope of line 1 should be equal to slope of line 2.

m(1) = m(2)

According to question, we have -

Coordinates of M = (0, 0)

Coordinates of N = (5, 1)

Therefore, the slope of line MN = [tex]\frac{1 -0}{5-0}[/tex] = 1/5

Coordinates of A = (11/2, 21/4)

Coordinates of B = (-21/4, k)

Therefore, the slope of line AB =

[tex]$\frac{k -\frac{21}{4} }{\frac{-21}{4} -\frac{11}{2} }[/tex]  =  [tex]$\frac{k - \frac{21}{4} }{\frac{1}{4} }[/tex]  =  [tex]$\frac{\frac{4k - 21}{4} }{\frac{1}{4} }[/tex]  = 4k -21

Now, for the lines to be parallel -

m(MN) = M(AB)

4k - 21 = [tex]\frac{1}{5}[/tex]

5(4k - 21) = 1

20k - 105 = 1

20k = 106

k = 5.3

Hence, for K = 5.3, the line segments are parallel.

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Answer:

9

Step-by-step explanation:

18÷2=9

So, Ann could have 9 rows of posters with 2 posters in each row.

Answer:

Perimeter of A'B'C'D' = 9 units

Step-by-step explanation:

Given:

Perimeter of ABCD = 27 units

Scale factor = 1 / 3

Find:

Perimeter of A'B'C'D'

Computation:

Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]

Perimeter of A'B'C'D' = 1/3[27]

Perimeter of A'B'C'D' = 9 units

Answer:

105 units

Step-by-step explanation:

Height of rectangle = 35 units

Since, base of o rectangle is triple the height.

Therefore, base of rectangle = 3*35 = 105 units

Another way:

h = 35 (given)

b = 3h

b = 3*35 (Plug h = 35)

b = 105 units

Answer:

aₙ = 40*(1/2)ⁿ⁻¹

Step-by-step explanation:

As per graph we have:

So the first term is 40 and common ratio is

Formula for nth term is:

Answer:

Step-by-step explanation:

-10x < 40

x > -4

Answer: (1.5, 1.5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Were you given answer choices?  If so, please share them when you post your question.

The best way to improve the experimental probability would be to flip the coin more than 20 times; the more this is done, the better the estimate will be.

Answer:

18 paperclips are in the pile!

Step-by-step explanation:

We know that a dozen paperclips are equal to 9.6g, so we are going to divide 9.6 by 12 to figure out how much each paperclip weighs (0.8g). So we then divide 14.4 by 0.8 to figure out how many paperclips are in the pile! Hope this helps!

Answer:

The horizontal line test is used to determine if a functions inverse will be a function. You will compose the functions (that is, plug x into one function, plug that function into the inverse function, and then simplify) and verify that you end up with just "x". Here's what it looks like: Determine algebraically whether f (x) = 3x – 2 and g(x) = (x + 2)/3 are inverses of each other.

Use the horizontal line test to determine if a function is a one-to-one function.

If ANY horizontal line intersects your original function in ONLY ONE location, your function will be a one-to-one function and its inverse will also be a function.

hope this helps

The horizontal line test is used to determine if a function's inverse will be a function is true. Correct option is 4.

1. This statement is not true. For a pair of functions to be inverses, their compositions (f(g(x)) and g(f(x))) must result in the identity function (1) for all values of x, not just for a specific value.

2. This statement is not true. In an inverse relation, the coordinates of the ordered pairs are swapped (x becomes y and y becomes x), not multiplied by 2.

3. This statement is not true. While many functions have inverses that are also functions, it is not a universal rule. Some functions may not have an inverse that is a function.

4. This statement is true. The horizontal line test is used to determine if a function has an inverse that is also a function. If a horizontal line intersects the graph of the function at more than one point, then the function does not have an inverse that is a function. However, if every horizontal line intersects the graph at most once, then the function does have an inverse that is a function.

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Step-by-step explanation:

x+5x=180

6x=180

x=30

and 5x=150

Answer:

Solution given:

let angle be a and 5x

since sum of two angles are supplement

so

equation becomes

a+5a=180

now

solving it

6a=180

a=180/6

a=30

and 5a=5×30=150

required angles are 50 and 130.

Answer:

  True

Step-by-step explanation:

Subtracting a number is identical to adding its opposite.

  -2 -5 = -2 +(-5)

The statement is True.

_____

If you doubt this, you can have your calculator tell you what the answers are.

Answer:

B

Step-by-step explanation:

Answer: [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

To find sin(60), you need to know the unit circle. Sin(60) is the same as sin(π/3). On the unit circle, sin(π/3) is √3/2. We know this because the coordinates are (cos, sin). Sin is the y coordinate.

Answer:

[tex]\huge\boxed{\sin60^o=\dfrac{\sqrt3}{2}}[/tex]

Step-by-step explanation:

Let's take a right triangle with acute angles 30° and 60°.

We know that the ratio of the sides of such a triangle is 2 : 1 : √3

(look at the picture)

We know:

[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]

In this triangle we have:

[tex]opposite=a\sqrt3\\hypotenuse=2a[/tex]

Substitute:

[tex]\sin60^o=\dfrac{a\sqrt3}{2a}[/tex]         cancel a

[tex]\sin60^o=\dfrac{\sqrt3}{2}[/tex]

idk

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{-x+4}[/tex]

Step-by-step explanation:

[tex]-(x+2)+6[/tex]

Distributing the negative sign to the terms in the bracket.

[tex]-x-2+6[/tex]

Combining like terms.

[tex]-x+4[/tex]

Answer:

-9

Step-by-step explanation:

Going down= negative

Answer:

u write negative 9

Step-by-step explanation:

Answer:

g(x) is the reflection of f(x) over the y-axis.

hope it helps

Answer:

step 1:  g(x) = 1.5(0.5)^-x

step 2: g(0) = 1.5

step 3: plot points on graph

step 4: g(1) = 3    g(-1) = .75

step 5: Plot the points

step 6:  y=0

step 7:  The smooth curve includes these points

Step-by-step explanation:

Just took this on edge 2021

Answer:

pretty sure its A n B = {1,5}

Step-by-step explanation: