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Dmitrij [34]
3 years ago
9

In 1989, Dutch ice skater Dries van Wijhe skated 200 km at an average speed of 35.27 km/h. How long was he skating? Use the form

ula d = rt, where d is the distance in km, r is the rate in km/h, and t is the time in hours.
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0
Divide 35.72 on all sides
5.670542
katrin [286]3 years ago
5 0
200=35.27t
 Divide 35.72 on both sides 
t=<span>5.670542</span>
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Rhonda has $4.85 in coins. If she has six more nickels than dimes and twice as many quarters as dimes, how many coins of each ty
Novay_Z [31]

Answer: nickels = 13, dimes = 7, quarters = 14

<u>Step-by-step explanation:</u>

First, set up the equations for each coin:

\begin {array}{c|c|c|l}\underline{\quad Type\quad }&\underline{Value}&\underline{Quantity}&\underline{\qquad \qquad \qquad Equation\qquad }\\ Nickel& \$0.05&6+d&0.05(6+d) = 0.30 + 0.05d\\Dime& \$0.10&d&\qquad 0.10(d)=0.10d\\Quarter& \$0.25&2d&\qquad 0.25(2d)=0.50d\\\end{array}

Next, the sum of the coins is $4.85 so substitute and solve for the variable:

   Nickels         +   Dimes  +   Quarters = Sum

(0.30 + 0.05d)  +    0.10d   +     0.50d   =  4.85

0.30 + 0.65d = 4.85

            0.65d = 4.55

                    d = 7

Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.

nickels: 6 + d   = 6 + (7)   = 13

quarters: 2d   = 2(7)   = 14

6 0
3 years ago
decide whether enough information is given to prove that triangle XYZ is congruent to triangle JKL. If so, state the term you us
Dafna1 [17]

The information given to us shows that triangles XYZ and JKL is not enough to prove they are congruent by AAS, ASA, nor SAS.

<h3>The Triangle Congruence Theorems</h3>
  • Two triangles are congruent by the AAS congruence theorem if they both have two pairs of congruent angles and a pair of congruent non-included sides.
  • Two triangles are congruent by the ASA congruence theorem if they both have two pairs of congruent angles and a pair of congruent included sides.
  • Two triangles are congruent by the SAS congruence theorem if they both have two pairs of congruent sides and a pair of congruent included angles.

Thus, the information given to us shows that triangles XYZ and JKL is not enough to prove they are congruent by AAS, ASA, nor SAS.

Learn more about triangle congruence theorem on:

brainly.com/question/2579710

7 0
3 years ago
Simplify. 32 + 5 × 2 − 8 A) −84 B) 8 C) 11 D) 20
navik [9.2K]

32 + 5 × 2 − 8

32+10-8

42-8= 34

The answer should be 34 but I don't see it up there

:/

4 0
3 years ago
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What point divides directed line segment
Goshia [24]
(22.5,30) it's the ratio
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You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What'
AlekseyPX

Answer:

They "y" value = (4 * 24) + 4 which equals

100

Step-by-step explanation:

7 0
3 years ago
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