There is one cake
It is divided among x family members, so each gets:
1/x
The father took 1/5 which is 4 times greater than each one's piece. So:
1/5 = 4(1/x)
1/5 = 4/x
x = 20
There are 20 family members so the answer is none of these
Answer:
Step-by-step explanation:
we know that
Triangles MNP and MAB are similar by AAA theorem
If two figures are similar, then the ratio of its corresponding sides is equal
so
substitute the values
Answer: 270 minutes or 4 hours and 30 minutes
Step-by-step explanation: 3x6 =18 and 45 x 6= 270
Answer:
Hyperbola
Step-by-step explanation:
<em>When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola. </em>
<em> equation of the hyperbola is below:</em>
<em> [(x-h)^2/a^2]-[(y-k)^2/b^2]=1 (Horizontal axis)</em>
<em> [(y-k)^2/a^2]-[(x-h)^2/b^2]=1 (Vertical axis)</em>
<em> Therefore, the answer is: Hyperbola.</em>
The exponential model is the most appropriate model for the given data.
<h3>How to determine the appropriate model?</h3>
The table of values is given as:
x 0 1 2 3 4 5
y 4 8 15.9 32 65.2 128
From the above table, we have the following highlights:
- The value of x increases by 1
- The value of y doubles by (approximately) 2
The above highlights is similar to an exponential model, because an exponential model has a constant multiplicative rate
Hence, the appropriate model is the exponential model
Read more about exponential models at:
brainly.com/question/11464095
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