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3 years ago

2 2/3 lbs of rice cost $5.52. What is the cost of 1lb

Mathematics

2 answers:

Dafna11 [192]3 years ago

8 0

Answer:

$2.07 per pound

Step-by-step explanation:

we can rewrite 2 2/3 as 8/3

now we can create a proportion from cost to pounds of rice

5.52 is to 8/3 pounds as 'c' is to 1:

(5.52 ÷ 8/3) = c/1

cross-multiply to get:

8/3c = 5.52

multiply each side by 3/8 to get:

c = 5.52(3/8)

c = 2.07

timama [110]3 years ago

3 0

Answer: I'm not fully sure but I think its 2.07

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A motorboat travels 244 kilometers in 4 hours going upstream and 749 kilometers in 7 hours going downstream. What is the rate of

Kryger [21]

Answer:

Speed of Motorboat = 84 kmph

Speed of Current = 23 kmph

Step-by-step explanation:

Distance Equation is:

D = RT

Where

D is distance

R is rate

T is time

Downstream rate is rate of boat PLUS current

Upstream rate is rate of boat MINUS current

Let rate of boat be "x" and rate of current be "c".

From first statement, we can write:

244 = (x - c)(4)

From second statement, we can write:

749 = (x + c)(7)

The first equation becomes:

244 = 4x - 4c

The second equation becomes:

749 = 7x + 7c

Multiplying first equation by 7 , we have:

7 * [244 = 4x - 4c] = 1708 = 28x - 28c

Multiplying 2nd equation by 4, we have:

4 * [749 = 7x + 7c] = 2996 = 28x + 28c

Now we add up these equations (in bold):

1708 = 28x - 28c

2996 = 28x + 28c

----------------------------

4704 = 56x

x = 4704/56

x = 84

Now using this value and plugging in original equation, we can find "c":

244 = 4x - 4c

244 = 4(84) - 4c

244 = 336 - 4c

4c = 92

c = 92/4

c = 23

<u>Speed of Motorboat = 84 kmph</u>

<u>Speed of Current = 23 kmph</u>

6 0

4 years ago

Can someone please help me?

adoni [48]

Answer:

2. x = 3

3. x = 10 and y =2

Step-by-step explanation:

From inspection, we can see that EF = 10 and KL = 5

Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2

This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF

Therefore, if GF = 22, then JL = 22 ÷ 2 = 11

So: 2x + 5 = 11

⇒ 2x = 11 - 5 = 6

⇒ x = 6 ÷ 2 = 3

x = 3

From inspection, we can see that DF = 12 and HJ = 9

Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3

This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ

Therefore, if HG = 6, then DE = 6 x 4/3 = 8

So: 2y + 4 = 8

⇒ 2y = 8 - 4 = 4

⇒ y = 4 ÷ 2 = 2

y = 2

Similarly, if GJ = 24, then EF = 24 x 4/3 = 32

So: 4x - 8 = 32

⇒ 4x = 32 + 8 = 40

⇒ x = 40 ÷ 4 = 10

x = 10

7 0

2 years ago

Consider the line y=5x-4.

Bezzdna [24]

Answer:

Parallel= y-5x-3

perpendicular=y=5x

Step-by-step explanation:

3 0

3 years ago

. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it

lesantik [10]

Answer:

1/2 minute

Step-by-step explanation:

We can use a ratio to solve

1/3 bottle 1 bottle

------------ = --------------

1/6 minute x minutes

Using cross products

1/3x = 1/6 *1

1/3 x = 1/6

Multiply each side by 3

3 * 1/3x = 3 * 1/6

x = 3/6

x = 1/2

1/2 minute

3 0

3 years ago

Read 2 more answers

Name the Property Shown: 16=16 Question 1 options: Symmetric Property Transitive Property Reflexive Property Distributive Proper

Lemur [1.5K]

Answer:

reflexive property

Step-by-step explanation:

reflexive property states that a number equals itself, a = a, so since 16 = 16, or 16 equals itself, it's reflexive.

3 0

3 years ago