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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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Question 9 Multiple Choice Worth 1 points)
beks73 [17]

Answer: \bold{10 = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }}

Step-by-step explanation:

<u>Given:</u>

The coordinates of Point A: (8, 9)

The coordinates of Point B are unknown: (x, y)

The distance from A to B is 10 units

Then, using the distance formula:

AB = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }

Therefore,

10 = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }

8 0
1 year ago
2<br> .<br> 2<br> 12n = 42<br> NEED HELP ASAP⬆️
Anni [7]

Answer:

  6  

 —————

 n + 8

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

 ((12•(n3))-(24•(n2)))       (12n-42)      

 —————————————————————•———————————————————

  (((4•(n2))-22n)+28)  ((6•(n3))+(24•3n2))  

STEP  

2

:

Equation at the end of step

2

:

 ((12•(n3))-(24•(n2)))      (12n-42)      

 —————————————————————•——————————————————

  (((4•(n2))-22n)+28)  ((2•3n3)+(24•3n2))  

STEP

3

:

            12n - 42  

Simplify   ——————————

           6n3 + 48n2

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  12n - 42  =   6 • (2n - 7)  

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  6n3 + 48n2  =   6n2 • (n + 8)  

Equation at the end of step

5

:

 ((12•(n3))-(24•(n2)))  (2n-7)  

 —————————————————————•————————

  (((4•(n2))-22n)+28)  n2•(n+8)

STEP  

6

:

Equation at the end of step

6

:

 ((12•(n3))-(24•(n2)))  (2n-7)  

 —————————————————————•————————

    ((22n2-22n)+28)    n2•(n+8)

STEP  

7

:

Equation at the end of step

7

:

 ((12•(n3))-(23•3n2))  (2n-7)  

 ————————————————————•————————

     (4n2-22n+28)     n2•(n+8)

STEP  

8

:

Equation at the end of step

8

:

 ((22•3n3) - (23•3n2))      (2n - 7)  

 ————————————————————— • ————————————

   (4n2 - 22n + 28)      n2 • (n + 8)

STEP

9

:

             12n3 - 24n2  

Simplify   ——————————————

           4n2 - 22n + 28

STEP

10

:

Pulling out like terms

10.1     Pull out like factors :

  12n3 - 24n2  =   12n2 • (n - 2)  

STEP

11

:

Pulling out like terms

11.1     Pull out like factors :

  4n2 - 22n + 28  =   2 • (2n2 - 11n + 14)  

Trying to factor by splitting the middle term

11.2     Factoring  2n2 - 11n + 14  

The first term is,  2n2  its coefficient is  2 .

The middle term is,  -11n  its coefficient is  -11 .

The last term, "the constant", is  +14  

Step-1 : Multiply the coefficient of the first term by the constant   2 • 14 = 28  

Step-2 : Find two factors of  28  whose sum equals the coefficient of the middle term, which is   -11 .

     -28    +    -1    =    -29  

     -14    +    -2    =    -16  

     -7    +    -4    =    -11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -4  

                    2n2 - 7n - 4n - 14

Step-4 : Add up the first 2 terms, pulling out like factors :

                   n • (2n-7)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2n-7)

Step-5 : Add up the four terms of step 4 :

                   (n-2)  •  (2n-7)

            Which is the desired factorization

Canceling Out :

11.3    Cancel out  (n-2)  which appears on both sides of the fraction line.

Equation at the end of step

11

:

   6n2      (2n - 7)  

 —————— • ————————————

 2n - 7   n2 • (n + 8)

STEP

12

:

Canceling Out

12.1    Cancel out  (2n-7)  which appears on both sides of the fraction line.

Canceling Out :

12.2    Canceling out n2 as it appears on both sides of the fraction line

Final result :

   6  

 —————

 n + 8

8 0
3 years ago
Khali bought a pint of ice cream. How many cups of ice cream does he have
ratelena [41]

Answer:

He will have 2 cups :)

5 0
3 years ago
Read 2 more answers
If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in
givi [52]

Answer:

$50

$30.88

I will invest in simple interest as the interest there is more.

Step-by-step explanation:

If I invested $500 at 5% simple interest for 2 years, then the interest that I will get will be given by the formula

I = P \times \frac{rt}{100}, where P is the invested principal, r is the APR and t is the time in years.

So, in our case, I = 500 \times \frac{5 \times 2}{100} = 50 dollars. (Answer)

Now, if I invest $500 at 3% compound interest compounded monthly for 2 years.

Now, using the formula of compound interest we have

I = P(1 + \frac{r}{n \times 100} )^{tn} - P, where r is the APR and n is the number of times in a year the principal is compounded.

In our case, I = 500(1 + \frac{3}{12 \times 100} )^{2 \times 12} - 500 = 30.88 dollars. (Answer)

Therefore, I will invest in simple interest as the interest there is more. (Answer)

3 0
3 years ago
Enrico pours 80 L of water into 200 mL cups. If he fills the cups completely, how many cups does he fill? *
Ahat [919]
He filled 400 cups. I hope this helps!
3 0
3 years ago
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