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mamaluj [8]
2 years ago
11

Frank has three times as many dollars as Deandra, and Charlie has 20 more dollars than Frank. If Charlie has $65, how much money

does Deandra have? Let f represent the amount of money Frank has in dollars, and let d represent the amount of money Deandra has in dollar
Mathematics
2 answers:
My name is Ann [436]2 years ago
8 0

Answer:

$15

Step-by-step explanation:

Let Frank be f

Deandra be d and

Charlie be c

f = 3d ......(i)

c=$20+f.....(ii)

c=$65........(iii)

Equate (ii) and (iii)

$20+f = $65

f = $45.......(iv)

Equate (i) and (iv)

3d = $45

d = $15

Deandra has $15.

Lina20 [59]2 years ago
5 0

Answer: the amount of money that Deandra has is $15

Step-by-step explanation:

Let f represent the amount of money Frank has in dollars.

let d represent the amount of money Deandra has in dollar.

Frank has three times as many dollars as Deandra. This means that

f = 3d

Charlie has 20 more dollars than Frank. If Charlie has $65, it means that the amount that Frank has is

65 - 20 = $45

Substituting f = 45 into f = 3d, it becomes

45 = 3d

d = 45/3

d = 15

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4vir4ik [10]

Answer:

(0,0)

Step-by-step explanation:

We have,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to A\bigcapB.

Let, (x,y) belong to A\bigcapB

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A\bigcapB is (0,0).

5 0
2 years ago
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Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won
Nadya [2.5K]

Answer:

Myra: 24.8s (winner)

Byron: 26.3s

Step-by-step explanation:

Myra knocked down 1, so therefore there are 2 points added onto her time and it is now 24.8s.

Byron knocked down 3, so there are 6 points added on for 2 seconds per each hurdle. His time is now 26.3

6 0
2 years ago
A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.
Paul [167]

3520/5280 = 2/3 of a mile per minute.

2/3 x 60 minutes per hour = 40 miles per hour.

40-30 = 10

Bison runs 40 miles per hour

The bison runs 10 miles an hour faster than the deer

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2 years ago
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the garza family drives to a state park. the remaining distance, in miles, to reach the state park is 285−60x , where x represen
alukav5142 [94]
285 - 60x ; where x represents the number of driving hours.

285 ⇒ <span>The total distance to the state park.
60x </span>⇒<span> </span><span>The number of miles driven after x hours.
60 </span>⇒<span> </span><span>The number of miles driven after 1 hour.

y = 285 - 6x
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5 0
2 years ago
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June made a design with 6 equal tiles.One tile is yellow 2 tiles are blue and 3 tiles are purple. what fraction of the tiles are
lana66690 [7]

we know that

The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.

Let

N----------> total number of tiles

Y---------> number of yellow tiles

B--------> number of blue tiles

P--------> number of purple tiles

we have

N=6\\ Y=1\\ B=2\\ P=3

<u>1) Find the fraction of yellow tiles</u>

we know that

the fraction of yellow tiles is equal to

Y/N

substitute the values

1/6

<u>2) Find the fraction of purple tiles</u>

we know that

the fraction of purple tiles is equal to

P/N

substitute the values

3/6

<u>3) Find the fraction of yellow tiles or purple tiles</u>

we know that

the fraction of yellow tiles or purple tiles is equal to

(Y/N)+(P/N)=(1/6)+(3/6)=4/6=2/3

therefore

<u>the answer is</u>

2/3


3 0
2 years ago
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