All categories

3 years ago

First examples pt 1 no one answer

Mathematics

1 answer:

andrew11 [14]3 years ago

3 0

Answer:

It takes the second worker 11 hours to do the job alone

Step-by-step explanation:

The problem tells you how to work it.

$\dfrac{1}{11}+\dfrac{1}{x}=\dfrac{2}{11}\\\\x+11=2x \qquad\text{multiply by 11x}\\\\11=x \qquad\text{subtract x}$

x = 11 tells you the second worker takes 11 hours to do the job alone.

_____

You can also work directly with the fractions. Subtract 1/11 and you have ...

1/x = 1/11

It should not be a real stretch to see that x=11. If you need, you can multiply both sides by 11x to get 11=x.

You might be interested in

True or false<br> To find the complement of an event (P(not A)), you solve 1-P(A).

PilotLPTM [1.2K]

Answer:

true

Step-by-step explanation:

7 0

2 years ago

Columbia,South Carolina, is located at 34degrees north latitude. Use the equation to estimate the average annual snowfall for Co

lana66690 [7]

Answer:

Step-by-step explanation: I cannot provide an answer due to insufficient evidence.

7 0

3 years ago

Find the value of z. Round to the nearest hundredth. 30 and<br> 14

Anna007 [38]

I need more information for help you answer this

6 0

3 years ago

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

2 years ago

(6 + 7) + 8 = 21

Travka [436]

Answer: $6+(7+8)=21$

Step-by-step explanation:

1. By definition, the associative property of addition is:

$(a+b)+c=a+(b+c)$

This property says that you can group the numbers in different ways and you will obtain the same result.

2. Therefore, if you have the following expression:

$(6+7)+8=21$

You apply the Asociative property of addition by regrouping the numbers as following:

$6+(7+8)=21$

3. Then, you can conclude that the correct option is B.

4 0

3 years ago