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3 years ago

Which of the following are true?

2 answers:

8 0

Some fractions and ratios can be written as mixed numbers.<span>Fractions and ratios cannot have zero in the denominator.
</span>

PilotLPTM [1.2K]3 years ago

6 0

Fraction and ratios can be simplified the same way

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Is y=-3 a linear equation?

Stels [109]

If degree of variable is one then eq. is linear
so given is linear.

7 0

3 years ago

The price of a bungalow in 1990 was $850000. If there was a 125% increase in 2000, followed by a 30% decrease in 2013, what was

astra-53 [7]

Answer:

1,338,750$

Step-by-step explanation:

1990 price was 850,000

in 2000

850,000 + 125% = 1,062,500

850,000 + 1,062,500 = 1,912,500

in 2013

1,912,500 - 30% = 573,750

1,912,500 - 573,750 = 1,338,750

6 0

2 years ago

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li

Fittoniya [83]

Answer:

(a)

$r\geq 5$

$r+y\leq 15$

$8r+12y\geq 120$

$y\geq 0$

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

$r\geq 5$

Since she does yard work, $y\geq 0$

Lia’s parents allow her to work a maximum of 15 hours per week overall.

$r+y\leq 15$

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

$8r+12y\geq 120$

The system of inequalities that represent this problem is therefore:

$r\geq 5$

$r+y\leq 15$

$8r+12y\geq 120$

$y\geq 0$

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

(5,10)
(5, 6.7)
(15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

At (5,10), Earning=(5X8)+(10X12)=40+120=$160

At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

8 0

3 years ago

If a globe rotates 150 degrees in 5 seconds, how many rotations does it make in 30 seconds? I got 900 seconds for my answer am I

Maksim231197 [3]

Start with a proportion, to get the number of degrees in 30 seconds:

   (150 degrees / 5 seconds) = ('D' degrees / 30 seconds) .

Cross multiply the proportion: (150 x 30) = 5 x D

   4,500 = 5 x D

Divide each side by 5 : 900 = D

The globe turns 900 degrees in 30 seconds.

How many rotations is that ?
Each rotation is 360 degrees.
So 900 degrees is
   (900 / 360) = <em>2.5 rotations</em> in 30 seconds.

8 0

3 years ago

If the tree is 25 feet tall , what is the angle of depression to his friend

Anarel [89]

Answer:

Step-by-step explanation:

3 0

3 years ago