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Svetach [21]
2 years ago
12

A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. Ho

w many kilograms of apples did she sell at the farmers market?
Mathematics
2 answers:
Jet001 [13]2 years ago
8 0

Answer:

1.625 kilograms

Step-by-step explanation:

Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is

→ 6.5 x 3/4 = 4.875 kilograms

Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples

→ 6.5 - 4.875 = 1.625 kilograms

uranmaximum [27]2 years ago
3 0

Answer:

1.625 kg

Step-by-step explanation:

Total weight sold by the farmer =6.5 kilograms

If 3/4 of the weight is pears:

Weight proportion of apple=1-\frac{3}{4}= \frac{1}{4}

Therefore:

Weight of Apples sold at the market = \frac{1}{4} X 6.5 kg\\

=1.625 kg

The farmer sold 1.625 kilograms of apple.

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Round 3,872.3155 to the nearest hundred
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Answer:

3,872.32

Step-by-step explanation:

the nearest hundredth is 2 numbers on the right of the decimal sign. So you round up from 5 to get answer above.

6 0
2 years ago
The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced: What is the
Svet_ta [14]
The piece of wood is 5.1 inches
4 0
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The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin
Free_Kalibri [48]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03  

=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12  

Thus, 8.17 g separates the top 3% of the weights.

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90  

Thus, 7.90 separates the bottom 3% of the weights.

Thus, the correct answer is

Option D) 7.90 g and 8.12 g

7 0
2 years ago
The winning long jump at a track meet was 27 ft 10 in. Convert this distance to meters. Round to the nearest hundredth.
Allushta [10]

1 inch = 2.54 cm

27 feet 10 inches = 27 * 12 + 10 = 334 inches.

334 inches = 334 inches * 2.54 cm / inch = 848.36 cm

1 meter = 100 cm

x  = 848.36 cm

Cross multiply

848.36 cm * 1 meter = 100 cm * x   Divide both sides by 100

848.36 cm* meter/ 100 cm = x

8.48 meter = x

Answer 8.48 meters.


6 0
2 years ago
Find the smallest number to be added to 11650 so that the sum will be a perfect square ​
sergejj [24]

Answer:

14

Step-by-step explanation:

Take the square root of 11650+14:

%:11650+14

108

So it’s a perfect square (108^2=11664).

3 0
2 years ago
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