1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeyben [28]
3 years ago
10

0.624 in expanded form

Mathematics
2 answers:
krok68 [10]3 years ago
6 0

we know that

in expanded form, the decimals are usually changed into fractions

so

0.624=0+\frac{6}{10} +\frac{2}{100} +\frac{4}{1000}

0.624=0+0.6+0.02+0.004

Tpy6a [65]3 years ago
3 0

The <u><em>correct answer</em></u> is:

0.6 + 0.02 + 0.004

Explanation:

To write a number in expanded form, we use place value. In this number, 6 is in the tenths place; that makes its value 6(0.1) = 0.6.

2 is in the hundredths place; that makes its value 2(0.01) = 0.02.

4 is in the thousandths place; that makes its value 4(0.001) = 0.004.

Together, we get a sum of 0.6+0.02+0.004.

You might be interested in
Bert earns $35,000 gross annual salary. In Bert's jurisdiction there is a progressive tax system with rules as follows: Any amou
Bogdan [553]

Answer:

7.5

Step-by-step explanation:

Given;

  • Bert earns $35,000 gross annual salary
  • Any amounts earned up to $20,000 are taxed at x%
  • Any amounts earned beyond $20,000 are taxed at 20%
  • Bert pays $4,500 per annum in income tax

To find x

Amount earned beyond $20,000

= $35,000 - $20,000

= $15,000

That is the amount to be taxed at 20%

Therefore,

x% × 20000 + 20% × 15000 = 4500

200x + 3000 = 4500

200x = 4500 - 3000

200x = 1500

x = 1500/200

x = 7.5

5 0
3 years ago
You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.
postnew [5]

<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>

Answer:

1) There is no maximum height

2) The ball will never land

Step-by-step explanation:

<u>Derivatives</u>

Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.

Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that

If f''(a) is positive, then x=a is a minimum

If f''(a) is negative, then x=a is a maximum

1)

The function provided in the question is

h(x)=2x^2-12x+20

Let's find the first derivative

h'(x)=4x-12

solving h'=0:

4x-12=0

x=3

Computing h''

h''(x)=4

It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height

2)

To find when will the ball land, we set h=0

2x^2-12x+20=0

Simplifying by 2

x^2-6x+10=0

Completing squares

x^2-6x+9+10-9=0

Factoring and rearranging

(x-3)^2=-1

There is no real value of x to solve the above equation, so the ball will never land.

This problem seems to be wrong because no minimum point was found and no point of landing exists

3 0
3 years ago
A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of
professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

  • The first car consumes <u>20 gallons of fuel</u>.
  • The second car consumes <u>30 gallons of fuel</u>.

Reasons:

Fuel efficiency of the first car = 15 miles per  gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let <em>x</em> represent the number of gallons consumed by the first car, and let <em>y</em>

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

  • 15·x + 35·y = 1,350...(1)
  • x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

  • The number of gallons consumed by the first car, x = <u>20 gallons</u>

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

  • The number of gallons consumed by the second car, y = <u>30 gallons</u>

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

6 0
2 years ago
In 24 hours one set of twins drank 16 bottles of formula. Each bottle holds 4 fl oz. How many cups of formula did the set of twi
aev [14]

Answer:

16 cups of formula

Step-by-step explanation:

you take 16 (<em>the amount of bottles)</em> and multiply it by 4 (<em>the amount one bottle holds</em>)

which gets you 64 then you multiply that by 2 (<em> the amount of children</em>)

which gets you 128

then you divide by 8, because there are <em>8 fl oz in a cup</em>

which gets you 16

16 cups of formula

7 0
3 years ago
Can someone plz help me doing this :D
Mars2501 [29]
Ok so the first thing you would do is input the number where The variables are in the equation so 8^2-5(4)/4
6 0
3 years ago
Other questions:
  • What is the value of 4 to the second power/2? Describe the steps you took to find your answer.
    12·1 answer
  • Help me with this plz
    6·1 answer
  • Of the following statements, which one or ones describe actions helpful to your credit score?
    11·2 answers
  • Classify each number as rational or irrational.
    13·2 answers
  • To rent a certain meeting room, a college charges a reservation fee of $38 and an additional fee of $7.40 per hour. The history
    7·1 answer
  • Simplify the following expression: 3 *3 (−4) *2 2 *6 (−3) *5<br><br><br> *= subscript
    15·2 answers
  • HELPP PLS THIS IS MY LAST CHANCE I HAVE ONLY A COUPLE MORE MINTUES..ㅠㅜㅜㅠ
    13·2 answers
  • There are 39 students in Ms. Salazar's chemistry class. If Ms. Salazar divides the class into 9 lab
    12·1 answer
  • Daniel goes to Target to buy a new pair of headphones. The headphones are normally $73, but they are currently on sale for 30% o
    11·1 answer
  • HELP PLZ IM CRYING I DONT WANT TO FAIL MY TEST PLZ HELP!!!!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!