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antiseptic1488 [7]
3 years ago
8

Explain why 4 x 2/5 is the same operation as 2/5 + 2/5 +2/5 + 2/5

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

Answer:

Step-by-step explanation: Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(8, 5)=1. In the next intermediate step the fraction result cannot be further simplified by cancelling. In words - four multiplied by two fifths=eight fifths.

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Find the x-intercept and the y-intercept of the graph of the equation 1/3x + 9y = 15. Then graph the equation.
AleksAgata [21]

Answer: the x intercept is (45,0) and the y intercept is (0,5/3)

Step-by-step explanation:

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A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?
DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals 2.20\times 10^{8}\,Pa. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (\sigma), measured in pascals, in the wire with circular cross-section is:

\sigma = \frac{4\cdot F}{\pi\cdot D^{2}} (1)

Where:

F - Axial force, measured in newtons.

D - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that F = 800\,N and D = 0.002\,m, then the axial stress experimented by the titanium wire is:

\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}

\sigma \approx 2.546\times 10^{8}\,Pa

Since stress is greater than ultimate strength, the wire will break.

3 0
2 years ago
The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. An article gave the ac
Mnenie [13.5K]

Answer:

Attached as image png.

Step-by-step explanation:

The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. An article gave the accompanying sample observations on breakdown voltage (kV) of a particular circuit under certain conditions. 62 51 53 58 42 54 56 61 59 64 51 53 64 62 50 68 54 55 57 50 55 50 56 55 46 56 54 55 53 47 48 56 58 48 63 58 57 56 54 59 54 52 50 55 60 51 56 59 Construct a boxplot of the data.

The boxplot is a method to represent a series of numerical data through their quartiles. In this way, the box diagram shows at a glance the median and quartiles of the data.

4 0
3 years ago
Anna charges $8.50 per hour to babysit. Complete the table, and answer the questions below. Write an expression describing her e
GaryK [48]

The equation that show the relationship between Anna earning and time worked is y = 8.5h.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where m is the rate of change, b is the y intercept and y, x are variables.

Let y represent Anna earnings for working h hours.

Since she charges $8.50 per hour to babysit. Hence:

y = 8.5h

The equation that show the relationship between Anna earning and time worked is y = 8.5h.

Find out more on Linear equation at: brainly.com/question/14323743

6 0
2 years ago
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