Jason ran 325 m farther than kim. kim ran 4.2 kilometers. how many meters did jason run?

Answers

Answer 1

Answer: Jason ran 4,525 meters.
b/c 4.2 klm is 4,200 meters then add the 325
and you get 4,525 meters.

Answer 2

Answer: the answer is 329. 2

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What is the simplest form of 96/64
Three hundred sixty five times twenty four
The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons. What was the total paper waste generated over these two years in the region, expressed in scientific notation?

20 cups equal how many quarts

Answers

4 cups = a quart
divide the number of cups by 4 to get the number of cups
20/ 4= 5 quarts

Answer:

20/4= 5 quarts

Lines a and b are parallel. Line c is a transversal. Find the measures of all angles formed by a, b, and c, One of the angles is 70° bigger than the other

Answers

Answer:

Angles are either 55° or 125°.

Step-by-step explanation:

See the attached diagram.

Let aa' and bb' are two parallel straight lines and cc' is a transversal that meets aa' at o and bb' at o' points.

Now, ∠coa' + ∠coa =180° ..... (1)

Assume by the condition given ∠coa' = x and ∠coa = x+70

Hence, from equation (1), 2x + 70 = 180

⇒ x = 55°

Then ∠coa' =55° and ∠coa = 70+55 = 125°

So, ∠o'oa' = 125° as ∠coa = ∠ o'oa' {Opposite angles}

Again, ∠aoo' = 55° as ∠coa' = ∠aoo' {Opposite angles}

Now, ∠coa' = ∠oo'b' {Corresponding angles} = 55°

and ∠bo'c' = ∠oo'b' = 55° {Opposite angles}

Again ∠oo'b = ∠coa = 125° {Corresponding angles}

and ∠b'o'c' = ∠oo'b =125° {Opposite angles}

(Answer)

Answer:

The 4 angles formed in each case are: $55^(0)$ , $55^(0)$ , $125^(0)$ and $125^(0)$ .

Step-by-step explanation:

Line c being transversal implies that it forms 4 angles with lines a and b individually of which 2 in each case are opposite angles, thus are equal.

Let one of the angles be represented by $x^(0)$ , but the other is greater by $70^(0)$ , so that = ( $70^(0)$ + $x^(0)$ )

Thus, we have;

$x^(0)$ + $x^(0)$ + ( $70^(0)$ + $x^(0)$ ) + ( $70^(0)$ + $x^(0)$ ) = $360^(0)$ ( the sum of angles at a point)

$x^(0)$ + $x^(0)$ + $70^(0)$ + $x^(0)$ + $70^(0)$ + $x^(0)$ = $360^(0)$

$4x^(0)$ + $140^(0)$ = $360^(0)$

$4x^(0)$ = $360^(0)$ - $140^(0)$

$4x^(0)$ = $220^(0)$

Divide both sides by 4,

$x^(0)$ = $55^(0)$

The other angle is calculated thus,

( $70^(0)$ + $x^(0)$ ) = $70^(0)$ + $55^(0)$

= $125^(0)$

Thus the 4 angles formed in both cases have the values; $55^(0)$ , $55^(0)$ , $125^(0)$ and $125^(0)$ .

The difference of two numbers is 14. Their sum is 46. What are the two numbers?

Answers

$+\left \{ {{x-y=14} \atop {x+y=46}} \right. \n 2x=60\n x=30\n x+y=46\n y=46-30\n y=16$

If three times Linda's age is decreased by 36,the result is twice Linda's age.How old is linda

Answers

x=lindas age
3 times lindas age (3 time x or 3x) is decreased by 36 (-36), the result (=) is twice lindas age (2 times x or 2x)

now we have
3x-36=2x
subtract 2x
x-36=0
add 36
x=36
age=36

A grocery store sells 12 bottles of water for $13.80. A convenience store sells ten bottles of water for $11.80.Which store has the better buy

Answers

for this you have to divide the number of bottles by the price. so divide 12 by 13.08 and 10 by 11.80

the store that sells 12 bottles for 13.80

How do you round 5 1/8 to the nearest whole number

Answers

To round you must see if the fraction is greater or less than a half to see if you round up or down. 1/8 is less than 1/2, so you must round down. So the answer is 5.

You look at the fraction: 1/8
You determine if it's closer to 0, 0.5, or 1.
In this case it is closer to 0.
So the answer would be 5.

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