How do you make 14/10 into a proper fraction?

Answers

Answer 1

Answer: Hello There! :)

$(14)/(10) = 1(2)/(5)$

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A car and a limo each drive along a straight road between two points. Using the points on a map that the city created, the car will start at (5, 7) and will stop at (–2, –7), while the limo will start at (3, –5) and will stop at (–4, 9).What are the coordinates of the intersection that the car and the limo both drive through?

Answers

The path of the car and the limo are straight lines. To determine the equation of the lines of the paths, the slopes must be determined. Let m1 = slope of car m2 = slope of limo so, m1 = (7 + 7)/(5 + 2) = 2 m2 = (-5 -9)/(3+4) = -2 therefore the equations are car: 2x – y = 2(5) –(7) 2x – y = 3 Limo: 2x + y = 2(3) – 5 2x + y = 1 Solving the intersection of the equations (using a calculator) x = 1 y = -1

Answer:

(1,-1)

Step-by-step explanation:

Given,

The starting point of the car is (5,7) and end point of the car is (-2,-7),

So, the equation that represents the position of car,

$y-7=(-7-7)/(-2-5)(x-5)$

$y-7=(-14)/(-7)(x-5)$

$y-7=2(x-5)$

$y-7=2x-10$

$\implies 2x-y=3-----(1)$

Similarly, the start point of the limo is (3,-5) and end point of the limo is (-4,9),

So, the equation that represents the position of limo,

$y+5=(9+5)/(-4-3)(x-3)$

$y+5=(14)/(-7)(x-3)$

$y+5=-2(x-3)$

$y+5=-2x+6$

$2x+y=1----(2)$

Adding equation (1) and (2),

4x = 4 ⇒ x = 1

From equation (1),

2(1) - y = 3 ⇒ -y = 3 - 2 ⇒ -y = 1 ⇒ y = -1

Hence, the intersection point of line (1) and (2) is (1,-1).

A gold coin weigh 20 grams. If the coin contains gold,copper and tin and in the ratio 4:3:1 how much gold is there in the coin ? Explain ???????

Answers

If gold coin weigh 20 grams. If the coin contains gold,copper and tin and in the ratio 4:3:1 then 10gm of gold is present in coin.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

A gold coin weigh 20 grams

the coin contains gold, copper and tin and in the ratio 4:3:1

We need to find the amount of gold in the coin.

Now let us add the ratio.

4x+3x+x=20

8x=20

Divide both sides by 8.

x=2.5

The amount of gold in coin is 4x.

4(2.5)=10 gm

Hence, 10 gm of gold is present in 20 grams of coin.

To learn more on Ratios click:

brainly.com/question/1504221

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4 + 3 + 1 = 8
20 ÷ 8 = 2.5

since the ratio is 4:3:1 and gold being 4
4 × 2.5 =

10
10 grams

An ice cream factory makes 140 quarts of ice cream in 10 hours. What was the rate per day?

Answers

24=day
10x2.4=24
140x2.4=336
336 quarts of ice cream a day(2.4 times greater than 140 quarts and 10 hours)

3 tims what will =28

Answers

9.3 repeating is the answer.

The answer is 9.3 recurring, you get this by diving 28 by 3

Round each number to the nearest ten to estimate 87.4 - 28.5

Answers

87.4 would be rounded to 90
28.5 would be rounded to 30
90-30=60 This is the estimated value

87.4 would round to 90 and 28.5 would round up to 30
90-30=60
60 would be your answer

Bob gets paid more in tips when he works more hours at the restaurant. Which is the dependent variable? A. hours worked B. tips paid

Answers

a. hour worked. . . . . .. .. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..

obviously it's A. hour worked i hope this help:) have a nice day

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