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Vladimir79 [104]
2 years ago
14

Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated

)
Mathematics
2 answers:
galben [10]2 years ago
8 0

Answer:

80%

Step-by-step explanation:

50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.

USPshnik [31]2 years ago
4 0

Answer:

80% of sugar left.

Step-by-step explanation:

If we start of with 50 kg of sugar and we take away 10 kg of sugar, we are left with 50-10=40 kg of sugar.

To find the percentage of sugar left, we divide the decreased number by the original number.

\frac{40}{50} = \frac{4}{5} = 0.8

If we have a decimal and want to convert it to a percentage, we multiply it by 100.

0.8\cdot100=80

So, 80% of the sugar is left.

Hope this helped!

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What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees​
Anna [14]

Answer:

The length of EF = 7.48 feet

Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

  including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

  and opposite to EF

- By using cos Rule

∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

∴ (EF)² = (6)² + (11)² - 2(6)(11) cos(40)

∴ (EF)² = 55.882133 ⇒ take square root for both sides

∴ EF = 7.47543 ≅ 7.48 feet

* The length of EF = 7.48 feet

6 0
2 years ago
A bacteria culture begins with 13 bacteria which triple in amount at the end of every hour. How many bacteria are grown during t
Dimas [21]

The end of first hour = 13*3 = 39

The end of second hour = 39*3 = 117

The end of third hour = 117*3 = 351

The end of fourth hour = 351*3 = 1,053

The end of fourth hour = 1053*3 = 3,159

The end of fifth hour = 3159*3 = 9,477

The end of sixth hour = 9477*3 = 28,431

The end of seventh hour = 28341*3 = 85,293

The end of eighth hour = 85293*3 = 255,879

The end of ninth hour = 255879*3 = 767,637

The end of tenth hour = 767637*3 = 2,302,911

The correct answer is D.2,302,911

6 0
2 years ago
Read 2 more answers
Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?
Reptile [31]

Answer: parabola

Step-by-step explanation:

7 0
2 years ago
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2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.
vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

a_1 = 2.8

a_2 = 3.4

Common difference = a_2 - a_1 = 3.4 - 2.8 = 0.6.

Expression for the nth term:

a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n

n = 50 for the fiftieth term. Therefore

a_{50} = 2.2 + 0.6 \times 50 = 32.2.

6 0
2 years ago
A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You
Fittoniya [83]

Answer:

£0.465. It is a better value.

Step-by-step explanation:

If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;

6batteries = £2.79

1 battery = x

x = cost of a battery

6x = £2.79

x = £2.79/6

x = £0.465

Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.

6 0
2 years ago
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