Answer:
25 little box will fit in the large box
Step-by-step explanation:
50×30×20=3000
10×3×4=120
so 3000/120=25
5y+4=3 is the correct translation bebe :)
We have to triple Autumn's earning for each basket, so the table would be
![\begin{array}{c|c}\text{Baskets}&\text{Earnings}\\0&2\\1&6\\2&18\\3&54\\4&162\\5&486\\6&1458\\7&4374\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7D%5Ctext%7BBaskets%7D%26%5Ctext%7BEarnings%7D%5C%5C0%262%5C%5C1%266%5C%5C2%2618%5C%5C3%2654%5C%5C4%26162%5C%5C5%26486%5C%5C6%261458%5C%5C7%264374%5C%5C%5Cend%7Barray%7D)
We expect an equation like
![m(b)=a\cdot x^b](https://tex.z-dn.net/?f=m%28b%29%3Da%5Ccdot%20x%5Eb)
where
is the initial value, and
is the multiplier. Since we start with 2$, and we triple the amount with each basket, we have
![m(b)=2\cdot 3^b](https://tex.z-dn.net/?f=m%28b%29%3D2%5Ccdot%203%5Eb)
This relation is exponential, because every time a new basket is made, the previous amount is multiplied by a constant. In other words, we have
![\dfrac{m(b+1)}{m(b)}=3\quad \forall b\geq0](https://tex.z-dn.net/?f=%5Cdfrac%7Bm%28b%2B1%29%7D%7Bm%28b%29%7D%3D3%5Cquad%20%5Cforall%20b%5Cgeq0)
For the graph, you just need to sketch the points from the table we draw above and connect them
<h3>What is the greatest common factor for 60 and 45 ?</h3>
<em>The greatest common factor (GCF) is also known as greatest common divisor (GCD).</em>
<em>First we have to find the prime factorization of 60</em>
60 = 2² × 3 × 5
<em>Then we have to find the prime factorization of 45</em>
45 = 3² × 5
<em>Now we have to multiply the common factors to both numbers with a lower exponent</em>
GCF = 3 × 5 = 15
Answer : GCF(60,45) = 15
Hope this helps!
Total surface area of a cone is given by,
Surface area of the cone = πrl + B
Here, l = Slant height of the cone
r = radius of the circular base
B = Area of the base
From the picture attached,
Slant height 'l' = 15 in.
Radius of the circular base 'r' = 12 in.
Area of the circular base = πr²
= π(12)²
= 144π in²
By substituting these values in the expression of the surface are,
Total surface area of the cone = π(12)(15) + 144π
= 180π + 144π
= 324π in²
Learn more,
brainly.com/question/14346245