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Nezavi [6.7K]
3 years ago
10

A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0
Given:
recipe: 2 tsp of butter
Melinda wants to make 40% more servings than the recipe.

2 tsp is equal to 100%
additional of 40% makes it 100% + 40% = 140%

140% * 2 tsp = 2.8 tsp.

The expression that shows the number of teaspoons needed is:
D. 1.4 x 2
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prisoha [69]

Answer:

Angle x = 72

Step-by-step explanation:

Angle AHI = Angle HIK = 63

(This is because the two angles are corresponding angles, HI//JK)

Angle x = 180 - 63 - 45

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1 year ago
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@SoHail
koban [17]
A.
k=x
j=7+x
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b. we need to know what jordan is first
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2 years ago
Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe
lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road  =\frac{\sqrt{30^2+x^2}}{60}

Time taken on the highway =\frac{50-x}{110}

Total time taken to travel, T =\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}

Minimum time taken occurs when the derivative of T equals 0.

T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\

Square both sides

12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52

The road should be built such that it joins the highway at 19.52km from the point P.

In fact,

|RM|=\sqrt{30^2+19.52^2}=35.79km

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