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OleMash [197]
3 years ago
6

Lliana was part of a group that was working on changing 0.4 to fraction. Each member o the group had a different answer. Which a

nswer is correct?
A) 2/5
B) 4/10
Mathematics
2 answers:
Delicious77 [7]3 years ago
6 0

Answer:

Both are correct.

A) A decimal fraction

B) A common fraction

Step-by-step explanation:

<u>1 step.</u> Write down 0.4 divided by 1:

\dfrac{0.4}{1}.

<u>2 step.</u> Multiply both top and bottom by 10 (because there are 1 digit after the decimal point):

\dfrac{0.4}{1}=\dfrac{0.4\cdot 10}{1\cdot 10}=\dfrac{4}{10}.

This fraction is called a decimal fraction.

<u>3 step.</u> Simplify the decimal fraction:

\dfrac{4}{10}=\dfrac{2\cdot 2}{2\cdot 5}=\dfrac{2}{5}.

This fraction is called a common fraction.

inna [77]3 years ago
3 0

Answer:

The answer is C) 4/9

Step-by-step explanation:

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Write the equation of a line perpendicular to y= -1/3x + 5 and passes through the point (6, 4).
Levart [38]

Answer:

y = 3x - 14

Step-by-step explanation:

Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

4 = 3(6) + b

4 = 18 + b

-14 = b

Plug in the slope and y intercept into y = mx + b

y = 3x - 14

So, the equation of the line is y = 3x - 14

3 0
2 years ago
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
REY [17]

Answer:

9.93

Step-by-step explanation:

Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.

From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):

(15+y)(10) = 17^2

Solving for y we get:

(15+y)(10) = 17^2\\150+10y=289\\10y=289-150\\10y=139\\y=13.9

Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:

5 * 13.9 = 7 * x

Now solving, we get:

5 * 13.9 = 7 * x\\69.5=7x\\x=\frac{69.5}{7}\\x=9.93

Thus x = 9.93

last answer choice is right.

4 0
3 years ago
The mean of a normally distributed dataset is 12, and the standard deviation is 2.
Schach [20]
So lets do it like this:
z = (X-Mean)/SD 
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
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Mr. Stevenson is ordering shirts and hats for his Boy Scout Troop. There are 60 scouts in the troop. Hats come in packs of 3, an
e-lub [12.9K]
Answer:
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Explanation:
60 ÷ 3 = 20
60 ÷ 5 = 12
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2 years ago
Find the measure of the arc. MFD=
Mila [183]

Answer:

124

Step-by-step explanation:

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