D

A group of veterinary researchers plan a study to estimate the average number of enteroliths in horses suffering from them. The

docker41 [41]

The answer to this is d

6 0

3 years ago

John works two jobs. As a security guard he earns $8.50 per hour. As a landscaper he earns $14 per hour. One week John worked a

Rashid [163]

Answer:

John work as a security guard job 27 hours and as a landscaper 33 hours.

Step-by-step explanation:

Given:

John works two jobs.

As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.

One week John worked a total of 60 hours and earned $691.50.

Now, to find hours he work at each job.

Let the job of security guard be $x$ hours.

And the job of landscaper be $y$ hours.

So, the total hours John worked in a week:

$x+y=60.$

⇒ $y=60-x.$ ............( 1 )

Now, the money earned by John in a week:

$8.50x+14y=691.50$

Putting the equation ( 1 ) in the place of $y$ :

⇒ $8.50x+14(60-x)=691.50$

⇒ $8.50x+840-14x=691.50$

Moving variables on one side and the other we get:

⇒ $840-691.50=14 x-8.50x$

⇒ $148.50=5.50x$

Dividing both sides by 5.50 we get:

⇒ $27=x$

As a security guard job he worked 27 hours.

Putting the value of in $x$ equation ( 1 ) we get:

$y=60-27$

⇒ $y=33.$

As a landscaper he worked 33 hours.

Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.

5 0

3 years ago

The distance an airplane travels depends on how much time it spends flying. Which expression represents the distance the airplan

kogti [31]

Answer: B. $\text{Distance(20)}$

Step-by-step explanation:

The notation to express a dependent variable is given by :-

$Y(x)$ , where Y is depending variable which is dependent upon x ( independent variable).

The given statement : The distance an airplane travels depends on how much time it spends flying.

Here , Independent variable : Time

Dependent variable : Distance

Then , the notation to express distance (dependent variable) the airplane flies in 20 minutes is given by :-

$\text{Distance(20)}$

6 0

3 years ago

On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 50º.

sweet [91]

The third option, 100*

making it an abtuse triangle

If incorrect, sorry

4 0

3 years ago

Use the Side-Splitter Theorem to find x, given that PQ||BC . The figure is not drawn to scale.

MrRa [10]

Answer: x=12

Step-by-step explanation:

1. Accoding to the Side-Splitter Theorem, if a line interesect two sides of the triangle and it is parallel to the third side, then the other two sides are divided by the line proportionally.

2. Then, you can form the following proportion:

$\frac{PA}{BP}=\frac{QA}{CQ}$

3. Substitute values and solve for x:

$\frac{8}{x}=\frac{12}{18}\\18*8=12x\\x=12$

8 0

3 years ago