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Schach [20]
3 years ago
14

A cake is made from the ingredients listed below.

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

To make a cake :-

Quantity of flour needed = 500 g

Quantity of butter needed = 450 g

Quantity of sugar needed = 470 g

Quantity of mixed fruit needed = 1.8 kg = 1000 g + 800 g

Quantity of eggs needed = 70 × 4 = 280 g

It's weight after adding all the ingredients =

=500 + 450 + 470 + 1000 + 800 + 280

= 3500 g

Mass that got lost while baking the cake :

<h3>= 12 % of 3500 </h3>

= \frac{12}{100}  \: of \: 3500

=  \frac{12}{100}  \times 3500

=\frac{(12 \times 3500)}{100}

=\frac{42000}{100}  \: g

= 420 \: g

Final mass = Initial mass - mass that got lost

= 3500 - 420 \: g

= 3080 \: g

∴ The final mass of the cake is 3080 g .

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Arun's family took a road trip to Niagara Falls. Arun fell asleep 69% of the way through the trip. If Arun fell asleep after the
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Based only on the information given in the diagram, which congruence
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Read 2 more answers
Find the perimeter of quadrilateral PQRS with the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3).
storchak [24]

Answer:

P=16.53\ units

Step-by-step explanation:

we know that

The perimeter of quadrilateral PQRS is equal to the sum of its four length sides

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3)

step 1

Find the distance PQ

P(2,4), Q(2,3)

substitute in the formula

d=\sqrt{(3-4)^{2}+(2-2)^{2}}

d=\sqrt{(-1)^{2}+(0)^{2}}

d=\sqrt{1}

dPQ=1\ unit

step 2

Find the distance QR

Q(2,3), R(-2,-2)

substitute in the formula

d=\sqrt{(-2-3)^{2}+(-2-2)^{2}}

d=\sqrt{(-5)^{2}+(-4)^{2}}

dQR=\sqrt{41}\ units

step 3

Find the distance RS

R(-2,-2), and S(-2,3)

substitute in the formula

d=\sqrt{(3+2)^{2}+(-2+2)^{2}}

d=\sqrt{(5)^{2}+(0)^{2}}

dRS=5\ units

step 4

Find the distance PS

P(2,4), S(-2,3)

substitute in the formula

d=\sqrt{(3-4)^{2}+(-2-2)^{2}}

d=\sqrt{(-1)^{2}+(-4)^{2}}

dPS=\sqrt{17}\ units

step 5

Find the perimeter

P=PQ+QR+RS+PS

substitute the values

P=1+\sqrt{41}+5+\sqrt{17}

P=6+\sqrt{41}+\sqrt{17}

P=16.53\ units

5 0
3 years ago
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