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3 years ago

Find Each unit rate. Determine which is lower. Ingredient D: 1/3 cup for 3/4 cup serving.

Mathematics

1 answer:

laila [671]3 years ago

5 0

3/4 serving = 1/3 cup
1 serving = 1/3 / 3/4 = 4/9
Therefore, unit rate = 4/9 cup per serving.

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Alinara [238K]

Step-by-step explanation:

ok so as u know the angles of a triangle add up to 180.

So we will be using that for help.

S+R+T=180

12x+13x+12x-4+2-3=180

37x-5=180

37x=185

x=5

Now we will plug in the value for x to find each angle

S= 13(5)-4

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T=12(5)-3

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3 years ago

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The length of a rectangle is 3 inches longer than its width. If the perimeter of the rectangle is 54 inches, find it’s length an

dangina [55]

Answer: Length = 15, Width = 12

Step-by-step explanation:

L = length

W = width

L = W+ 3

perimeter = 2L + 2W

54 = 2(W+3) + 2W

54 = 2W + 6 + 2W

54 = 4W + 6

54 - 6 = 4W

48 = 4W

W = $\frac{48}{4}$

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now to find the length, plug the width into the equation L = W + 3

length:

L = W+3

L=12 +3

L = 15

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3 years ago

A lighthouse is built on an exposed reef, 4.5 miles off-shore. The shoreline is perfectly straight, and a town is located 6 mile

Alisiya [41]

Answer: 3.94 hours

Step-by-step explanation:

From the question, the following parameters are given:

Distance offshore = 4.5 miles

Distance downshore = 6 miles

Speed when running = 3.4 mph

Speed with boat = 1.8 mph

distance of boat rowing = sqrt(4.5^2 + x^2)

Where

Speed = distance/time

Time = distance/speed

Time = distance of boat rowing/1.8

distance of running = 6 - x

Time = (6-x)/3.4

total travel time

t = sqrt(4.5^2 + x^2)/1.8 + (6 - x)/3.4

dt/dx = x/(1.8×sqrt(4.5^2 + x^2) - 1/3.4

d^2t/dx^2 = +ve at any x

x is at its minimum when dt/dx=0

x/(1.8×sqrt(4.5^2 + x^2) = 1/3.4

x = 6/sqrt(253) × 4.5 = 1.697 miles

Substitute x in

t = sqrt(4.5^2 + x^2)/1.8 + (6 - x)/3.4

We obtaine

t = sqrt(4.5^2 + 1.697^2)/1.8 + (6 - 1.69)/3.4

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3 years ago

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melisa1 [442]

Answer:

A number line going from 27 to 37, open circle at 32, everything to the right is shaded

Step-by-step explanation:

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p > 32

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Answer:

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