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2 years ago

Which number when rounded to the nearest tenth is 43.6

Mathematics

1 answer:

Alex73 [517]2 years ago

8 0

Answer:

Any number greater than 43.54 and less than 43.6 rounds to 43.6. So, 43.55, 43.56, 43.57, 43.58 and 43.59 all round up to 43.6.

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Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne

FrozenT [24]

The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5

3 0

3 years ago

The weight of an object on Venus is approximately 9/10 of its weight on Earth. The weight of an object

Sergeeva-Olga [200]

An object weighs 140 pounds more on Jupiter than it weighs on Venus. By simple algebraic operations, the required value is calculated.

<h3>What are the algebraic operations?</h3>

Addition, subtraction, multiplication, and division are the basic algebraic operations that are used for many computations.

<h3>Calculation:</h3>

It is given that,

An object's weight on Venus is approximately 9/10 of its weight on earth. I.e., WV = 9/10 WE

An object's weight on Jupiter is approximately 23/10 of its weight on earth. I.e., WJ = 23/10 WE

If an object weighs 100 pounds on earth, then

The weight of the object on Venus is

WV = 9/10 × 100 = 90 pounds

The weight of the object on Jupiter is

WJ = 23/10 × 100 = 230

Thus, the difference between them is 230 - 90 = 140 pounds.

So, the object weighs 140 pounds more on Jupiter than on Venus.

Learn more about algebraic operations here:

brainly.com/question/24935016

#SPJ4

8 0

1 year ago

Find x for me i need help.

vesna_86 [32]

Answer:

X is 70 degrees

Step-by-step explanation:

In a triangle, all the angles add up to 180.

We can set up an equation:

48+62+x=180

x=180-(48+62)

x=70

5 0

3 years ago

1/2 of 3oz, 3/4 of 3oz and 1/3 of 2oz, how many ounces of food was consumed

Alex Ar [27]

4.42 ounces of food was consumed. 1/2 of 3 oz equals 1.5 oz, 3/4 of 3 oz equals 2.25 oz and 1/3 of 2 oz equals .67 and when you add those up you get 4.42.

3 0

3 years ago

What is 10.5% commission of $85,000

VikaD [51]

<span>What is 10.5% commission of $85,000

85,000 x 0.105 = 8,925

answer
$8,925 is </span>10.5% commission of $85,000

8 0

3 years ago