Express each ratio as a fraction in simplest form:

0.3 km to 500 m

Answers

Answer 1

Answer: 3/5

Step-by-step explanation:

The ratio shows how many times a number is contained in another. To express the ratio as a fraction in its lowest term, we convert 0.3km to metre.

1000 metre makes 1 kilometers. Therefore,

0.3km = 0.3 × 1000 = 300 metre

0.3 km to 500m= 300m to 500m

300m : 500m = 300/500

Reducing to its lowest term, 100 is a common factor.

300/500 = (100×3) / (100×5)

= 3/5.

Related Questions

What is the value of r? 35(r−7)=1 Enter your answer in the box.

Answers

r - 7 = 1/35
r = 1/35 + 7
r = 246/35

What is the part of a line with two endpoints?

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the part of a line with two end points is called a line segment.
hope this helps!

A Line Segment, because it is usually defined as part of a line that has two endpoints or just ask google why

-10-5x in standard form

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-10 - 5x in standard form.

Standard form is when everything is in order.

Variables go before numerical values, so simply rearrange this expression.

-5x - 10

~Hope I helped!~

-5x-10 should be the answer

What is 12x3 – 9x2 – 4x + 3 in factored form?

Answers

The factors of the given polynomial 12x^3-9x^2-4x+3 are

(4x-3) (3x^2-1).

Given: Polynomial 12x^3-9x^2-4x+3

We have factorized the given polynomial.

What is the meaning of factors?

The factor means a number that can be multiplied or divided to produce a given number.

Consider the given polynomial 12x^3-9x^2-4x+3.

We will factorize using a grouping of terms,

Taking 3x^2 common from the first two terms and -1 common from the last two terms, we have,

3x^2(4x-3)-1(4x-3)

Now, again taking (4x-3) common, we have,

(4x-3)(3x^2-1)

Thus, The factors of the given polynomial are (4x-3)(3x^2-1).

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Final answer:

The factored form of 12x3 - 9x2 - 4x + 3 is (3x2 - 1)(4x - 3).

Explanation:

The expression 12x3 - 9x2 - 4x + 3 can be factored as follows:

First, identify any common factors among the terms. In this case, the greatest common factor (GCF) is 1.

Next, group the terms:

12x3 - 9x2 - 4x + 3 = (12x3 - 9x2) + (-4x + 3)

Factor out the GCF from each group:

12x3 - 9x2 = 3x2(4x - 3)

-4x + 3 = -1(4x - 3)

Combine the factored terms:

(3x2 - 1)(4x - 3)

Therefore, the factored form of 12x3 - 9x2 - 4x + 3 is (3x2 - 1)(4x - 3).

How do I solve 24 - (7+5) /. 6+8

Answers

24-(7+5)/6+8
24-(12)/14
24-0.86
23.14

The answer would be 23.14

Karissa plays on a basketball team. each day after school she goes to a basketball practice that last for h hours. on friday karissa practices for and extra half-hour at home.

write an expression for the number of hours karissa practices basketball in a 5-day week of school?

Answers

There are 5 days is a school week.
Each day she practices h hours in school.
That is a total of 5h.
At home, she practices 0.5 hours once a week, so that is an extra 0.5 hour each week.
The total time she practices is her total time at school plus the time at home.

5h + 0.5

In Louisiana, the highest point of elevation is Driskill Mountain at 535 feet above sea level and the lowest point of elevation in New Orleans at 8 feet below sea level write an expression that represents the difference between these two measures that determine the interpret the difference

Answers

535 + 8

The elevation difference is a total of 543 feet between Driskill Mountain and New Orleans.

The expression that represents the difference between these two measures will be 535 - (-8) and the result is 543 feet.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

In Louisiana, the highest point of elevation is Driskill Mountain at 535 feet above sea level, and the lowest point of elevation in New Orleans at 8 feet below sea level.

The expression that represents the difference between these two measures will be given as,

⇒ 535 - (-8)

⇒ 535 + 8

⇒ 543 feet

The expression that represents the difference between these two measures will be 535 - (-8) and the result is 543 feet.

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PLEASE HELP ME you measured 6 cups of water and 5 cups of lemon juice to make how many in total quarts of lemonade

Answers

2.75 quarts of lemonade :) I hope this helps

Total cups of lemonade:

6 cups + 5 cups = 11 cups

Total quarts and cups of lemonade:

11 cups ÷ 4 cups = 2 quarts 3 cups

Help:42÷7+1/5 order of operations:basic

Answers

42÷7+1/5
6 +1/5
7 1/5

seven and one fifth is the answer

42 divided by 8= 5.25+.20=5.45

4(5n+7)-3n=3(4n-9) Solve. Its supposed to equal -11
I have no idea how it got to -11 mine is always -6.5...
HELP??

Answers

Here are the steps to solve the equation. Good luck!

It took John 3 minutes to drive 18 laps. How many laps per minute did he run?

Answers

He ran 6 laps per minute. 18/3=6

Divide 18 by 3.
He ran 6 laps every minute.

Veronica is shopping for school clothes. She wants to buy pants and shirts. The cost of her clothes can be found using the expression 30x + 25y where x is the number of pants and y is the number of shirts. She will also have to pay 8% tax. If Veronica buys two pants and eight shirts, what expression could be used to determine the total cost of the bill including 8% tax?

Answers

Hey there.

I'll list the variables so we're clear.

x = 2, y = 8

So far the expression looks like this: (i'll come back to the 8%)

30(2) + 25(8)

60 + 200 = 260

Cool, now we have the price before tax. We can add the sales tax by multiplying $260 by 8% as a decimal.

260 · 0.08 = 20.80

260 + 20.80 + 280.80

The total cost of Veronica's bill is $280.80

Cheers!

Final answer:

To find the total cost of Veronica's school clothes including 8% tax, first calculate the cost before tax with her specific quantities of pants and shirts, and then add the tax. The final expression shows a total cost of $280.8.

Explanation:

Veronica is shopping for school clothes, and the cost of her clothes can be found using the expression 30x + 25y, where x is the number of pants and y is the number of shirts. She will also have to pay 8% tax. If Veronica buys two pants and eight shirts, the expression to determine the total cost of the bill including 8% tax would be:

First, substitute x = 2 (pants) and y = 8 (shirts) into the expression to find the total before tax: 30(2) + 25(8).Calculate the cost before tax: 60 + 200 = 260.Calculate the total with 8% tax: 260 + (0.08 × 260).The final expression to determine the total bill is: 260 + 20.8 = 280.8.

Factor each of the following. Remember: It is the reverse of the distributive property and your first step is to find the greatest common factor of all terms.

Answers

To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.

10.

-8x - 16

8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.

Factor out a -8:

-8x - 16 = -8(x + 2)

To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.

11.

w^2 - 4w

The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.

w^2 - 4w = w(w - 4)

12.

4s + 10rs

4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s

4s + 10rs = 2s(2 + 5r)

A ski lift begins at ground level 0.75 miles from the base of a mountain whose face a 50° angle of elevation. The ski lift ascends in a straight line at an angle of 20°. Draw a diagram to illustrate this situation and find the length of the ski lift from the beginning of the ski lift to the top of the mountain, to the nearest hundreth

Answers

The length of the ski lift is approximately 1.15 miles.

We can use the formula of sum of all angle of triangles which is equal to 180°.

∠C = 180 - 50

= 130

By using law of sines

[tex]\frac{a}{sin A} = \frac{c}{sin C} \\\frac{0.75}{sin 30} = \frac{c}{sin 130} \\\\\\\frac{0.75 \times 0.766}{0.5}[/tex]

c= 1.149 mile

c = 1.15 mile (nearest hundred)

for such more question on length

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for f(x) =24-2x, find f(2) and find x such that f(x) =10

Answers

f(2) = 20
f(10)= 4

for each f(x) when it says find f of a number like f(2) just plug that number into the x that is in the regular equation.

example- f(x) = 24-2x find f(2) --- 24-2(2)= 20

The value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7

What is function?

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

Given is a function, f(x) =24-2x, we need to find f(2) and value of x for which function's value is 10,

For f(2), put x = 2

f(2) = 24-2(2)

= 24-4

= 20

Therefore,

f(2) = 20

For f(x) =10

Set the function equal to 10,

24-2x = 10

-2x = -14

2x = 14

x = 7

Hence, the value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7

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If you estimate 342÷7 by using 350÷7 = 50 is 50 greater than or less than the exact answer? How did you decide? It’s 50 and overestimate or an under estimate

Answers

The answer will be greater then that because you are increasing by estimating so ur answer will be larger

Use compatible numbers to find two estimates

Answers

Use compatible numbers to find two estimates that the quotient is between. For example:

1,624 divided by 3
1500 / 3 = 500

1800 / 3 = 600

2000 / 500 = 4

4000 / 800 = 5

If it is 4:40 now, what time was it 5 hours and 15 minutes ago?

Answers

the answer is that it would be 11:25

11:25 is the answer.

What does the A stand for in the R.A.C.E. Strategy

Answers

The A means Answer.

lol

Your answer is answer if your doing this strategy
R= restate
A=answer
C=cite
E=explain
HOPE IT HELPS:)

Convert 232°F to Celsius.

55°C
95°C
100°C
110°C

Answers

232- 449.6
55- 135
95- 203
100- 212
110- 230

Answer:

the answer is 100"C

Step-by-step explanation:

The rectangular backboard of a basketball court needs to be assembled. Its area is given as 18,900 cm2 and the width as 1.8 m.

What is the backboard’s length in metres?

Answers

Answer:
1.05

Explanation:
The formula for area is:
A = l • w
So to find the length, you would rearrange to make:
l = A ÷ w
1.8 m = 180 cm
So:
l = 18,900 ÷ 180
l = 105 cm
105 cm = 1.05 m

Answer:

1.05 m

Step-by-step explanation:

The area of the rectangular backboard is A = 18900 cm²

And the width is w = 1.8 m = 1.8 ×100 = 180 cm

The area of the rectangle is given by

[tex]A=l\cdot w[/tex]

Substituting the known values

[tex]18900=l\cdot 180\\\\l=\frac{18900}{180}\\\\l=105\text{ cm}[/tex]

Thus, the length of the backboard's is 105 cm = 1.05 m

Determine if the side lengths 6, 11, and 19 form a triangle. If it is a triangle, classify it by its sides.

Answers

It is not triangle because the one side of triangle should be smaller than the other two sides
Let's check
6+11=17
17<19
Or
11+19=31
9<31

which of the following will solve Ohm's law, V=IR for R

Answers

V=IR

to solve for R divide both sides by I

so you get R=V/I

Neptunes average distance from the sun is 4.503x10^9 km. Mercurys average distance from the sun is 5.791x10^7 km. About how many times farther from the sun is Neptune than mercury? Write your answer in scientific notation

Answers

Neptune is 77.76 times farther from the Sun than Mercury is.

A store sells grapes for $1.99 per pound. You buy 2.34 lbs. of grapes. How much do you pay? Please help!

Answers

2.34 lbs at 1.99 per lb..

2.34 * 1.99 = 4.6566 rounds to 4.66 <=

4.6566 would be the exact answer but since it’s money write Down 4.65

what is 7 x 1,829 in expanded form

Answers

The answer: 7 * 1,829 = " 12,803 " .
______________
The following is the explanation—"in expanded form" — (as per the specfic instructions— within this very question—as to how to get the answer:
____________________
Given: 7 * 1,829 = ? ; Find the solution; using "expanded form" :
____________
(7 * 9 = 63 ) ; +

(7 *20 = 140) ; +

(7 * 800 = 5,600) ; +
___________________________________________
(7 * 1,000 = 7,000) ;
___________________________________________
Now, add the the values together to solve the problem:
___________________________________________
→ 7 * 1,829 = 63 + 140 + 5,600 + 7,000 ;
     { = 203 + 5,600 + 7,000 } ;
       { = 5,803 + 7,000 }  ;
     = 12,803 ; which is the answer.
________________________________________________
Alternately, write out the steps as follows—using "expanded form":
________________________________________________
→ 7 * 1,829 = ?
________________________________________________
     →  7 * 1,829 = (7*9) + (7*20) + (7*800) + (1,000) ;
________________________________________________
→   7 * 1,829 = 63 + 140 + 5,600 + 1,000 ;
   { = 203 + 5,600 + 7,000 } ;
      { = 5,803 + 7,000 } ;
     = 12,803 ; which is the answer.
____
→ {Now, is our obtained answer: "12,803" ; the "correct answer"—to the problem: " 7 * 1,829 " ;} ??

→ Let us check:   {Note: " 7 * 1,829 " ; is the same as: ↔ " 1,829 * 7 " .}.

→ Using a calculator, does: "7 * 1829 = ? 12,803" ?? ; Yes! ;
→  &, for that matter; does: " 1829 * 7 =? 12,803" ?? ; Yes! .
_______
Furthermore, let us check, using the "traditional format" ;
→  Does: "1,829 * 7 =? 12,803 ?? " ;
________
{NB: We are multiplying 2 (TWO) numbers together; & 1 (ONE) of these 2 [TWO] numbers is a "1-digit" ["single-digit"] number; & the "OTHER" multiplicand is a "multiple-digit" [specifically, a"4-digit"] number.}.
______
NB: Yes; using a calculator is sufficient. Below, I simply provide an alternate method to confirm whether our "obtained value" is correct.
_____
  → Does: "7 * 1,289 = ? 12,803" ?? ;
→  Using the "traditional method"; let us check; as follows:
_____
₅ ₂ ₆
   → 1, 829
*    7
12 8 03 ;
_____
So; does: "12,803 =? 12,803" ?? ; YES!
  → This "traditional method" shows that: "7 * 1,829" ;  does, in fact, equal: "12,803".
_____
{NB: Explanation of the steps used in solving the aforementioned problem using the "traditional method"—just for clarification and confirmation} :
_____
→Start with: "7*9= 63" ; Write down the "3" & 'carry over' the "6" ; {Note the small-sized digit, "6"; written on top of the "2"; {commonly done—to keep track);

→Then; "7*2 = 14" ; then add the "small digit 6"; to the "14" ; →"14+6 =20" ;
Write down the "0" ; & 'carry over' the "2" ; {Note the "small-sized digit, "2"; written over the "8"; (commonly done—to keep track);

→ Then; "7*8 = 56" ; then add the "small digit 2"; to the "56"; → "56+2 = 58" ; Write down the "8" ; & 'carry over' the "5" ; {Note the "small-sized digit", "5" ; written over the "1" ; (commonly done—to keep track);

→Then; "7*1 = 7" ; then add the "small digit 5"; to the "7" ; → "7+5 = 12" ; Write down the "12" ; in its entirety—since are no digits left [in the multiplicand, "1,829"] ; to "carry over".
____
We get: "12,803" ; which =? "12,803" ?? ;→Yes!
____
I hope my explanation of how to solve "7 * 1,829" ; using the "expanded form" is helpful.  Also, i hope my explanation—albeit lengthy— of confirming that [our]  "correctly obtained value"—which is: "12,803"— is of some help.
__

The vet says that we nice puppy will grow to be at least 27 inches tall. Lena’s puppy is currently 1 foot tall. How many more inches will the puppy grow? The puppy will grow a.) at least 2.) at most ? Inches

Answers

1 ft = 12 in.
The puppy is now 1 ft tall, so it is now 12 in. tall.
The puppy will grow to 27 in. tall

27 in. - 12 in. = 15 in.

The puppy will grow at least 15 in.

Determine if (-2, 10) is a solution of 5x+3y=20

Answers

plug in the -2 into "x", and plug in 10 into "y", because (x,y)

5(-2) + 3(10) = 20

-10 + 30 = 20

20 = 20

True

(-2,10) is a solution

hope this helps

To determine if (-2,10), all we have to do is plug in the appropriate values for x and y into the equation given to us, 5x + 3y = 20. When we use x = -2 and y = 10, we get 5(-2) + 3(10) = 20. When we simplify down, we get -10 + 30 = 20 => 20 = 20. Therefore, the coordinate point (-2, 10) is a solution of 5x + 3y = 20. Hope this helped and have a great day!

30% of what number is 21

Answers

The correct answer is 70
21 divided by 30% is 70.

Since 43 is a 2 digit odd number is it a composite and why

Answers

the answer is it is also prime

It is not composite because nothing times itself equals 43. It is prime though which means that nothing times itself equals it. So that means that it is not composite it is prime.

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Express each ratio as a fraction in simplest form: 0.3 km to 500 m

Answers

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Express each ratio as a fraction in simplest form:

0.3 km to 500 m