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Slav-nsk [51]
1 year ago
5

Question 1 1.1 Jane wants to make Spaghetti Bolognese for her family of 5 people, including herself. The following is a list of

some of the ingredients used to make Spaghetti Bolognese (serving 2 people): 300g Minced Meat 1 Onion 1 Clove Garlic 2 Sticks Celery 1 Carrot 125g Mushrooms 50g Tomato Paste 400g Tomatoes 1,5dl Passata 1dl Water 0,5dl Red Wine 250g Spaghetti 100g Cheese Rosemary Thyme Oregano Bay Leaf O o O 1.1.1 Convert 300g to kg. (2) 1.1.2 How many kilograms of tomato will be needed to make this recipe for her family? (5) 1.1.3 500ml of water is needed to make the recipe. Convert this into litres. (2) 1.1.4 The pot that will be used to make this recipe has a radius of 7cm and a height of 5cm. using the conversion 1cm3 = 1 000ml, determine the capacity of the pot in litres. (Capacity =īt x radius x radius x height where a = 3,142) (5) 1.2 Jane's friend Amelia, visits from the United States. She gets a copy of the recipe but has to convert the recipe into imperial units. 1.2.1 If 1 kg = 2,2 lb (pounds), convert 300g into pounds. (3) 1.2.2 She uses 17,6056 fl. oz. of water for her recipe. If this is equivalent to 500ml, determine the conversion rate between fl. oz. and ml. Round off your answer to one decimal place. (4) 1.2.3 She will travel to Cape Town from Johannesburg during her trip. She estimates that the distance is approximately 500 miles between the two cities. If 1 mile = 1,609 km and the distance between Johannesburg and Cape Town is 810 km, determine if she is correct. (3) 1.2.4 The temperature when she arrived in Cape Town was 34 °Celsius. Convert this temperature to °Fahrenheit. (2) 1.3 If 1 cm3 = 1 ml and 1 000 cm° = 1 4. Determine the following: 1.3.1 How many cmare in 875 l ? (2) 1.3.2 How many t are there in 35,853 cm3? (2) [30] pyright reserved
Mathematics
1 answer:
Lelechka [254]1 year ago
8 0

Answer:

\begin{gathered} 1.1.1.300g\cdot\frac{0.001\operatorname{kg}}{1g}=0.3\operatorname{kg} \\ 1.1.2.400g\cdot\frac{0.001\operatorname{kg}}{1g}=0.4\operatorname{kg} \\ 1.1.3.500ml\cdot\frac{0.001lt}{1ml}=0.5\text{ lt} \\ 1.1.4.769.69\cdot0.001=0.769\text{ liters} \end{gathered}

Step by step explanation:

1.1.1 We know that 1kg is equivalent to 1000g, then we can convert:

300g\cdot\frac{0.001\operatorname{kg}}{1g}=0.3\operatorname{kg}

1.1.2 For 400g of tomatoes:

400g\cdot\frac{0.001\operatorname{kg}}{1g}=0.4\operatorname{kg}

1.1.3. For 500ml of water, convert this into liters. We know that a 1ml is 0.001 lt

500ml\cdot\frac{0.001lt}{1ml}=0.5\text{ lt}

1.1.4. Since capacity is represented by the following expression:

\begin{gathered} C=\pi\cdot\text{radius}\cdot\text{radius}\cdot\text{height} \\ C=\pi\cdot7\cdot7\cdot5=769.69cm^3 \end{gathered}

We know that 1 cubic centimeter is equal to 0.001 liters.

769.69\cdot0.001=0.769\text{ liters}

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The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equ
Fittoniya [83]

Answer:

(a)\ -16t^2 + 7t + 63=0

(b)\ t = 2.215

Step-by-step explanation:

Given

h(t) = -16t^2 + 7t + 63

Solving (a): Equation when it hits the ground.

This means that h(t) = 0

So, we have:

h(t) = -16t^2 + 7t + 63

-16t^2 + 7t + 63=0

Solving (b): The value of t in (a)

-16t^2 + 7t + 63=0

Using quadratic formula, we have:

t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

This gives:

t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}

t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}

t = \frac{-7 \± \sqrt{4081}}{-32}

t = \frac{-7 \± 63.88}{-32}

Split

t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}

t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}

t = -1.7775; or\ t = 2.215

Time can't be negative; So:

t = 2.215

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