Answer:
Step-by-step explanation:
If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.
If she earned $550 in the first day, we can say the first term is $550
If she earned $750 on the third day, we can say the third term is $750
For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence
550, x , 750
T1 = 550
T2 = x
T3 = 750
Common difference d = T2-T1 = T3-T2
x - 550 = 750 - x = d
Let's calculate the second term first i.e x
Since x - 550 = 750 - x = d
x - 550 = 750 - x
Collect like terms
x+x = 750+550
2x = 1300
x = 1300/2
x = 650
d = T2-T1
d = x - T1
d = 650-550
d = 100
Hence her money keeps increasing by $100 each day
Answer:
30 salads
Step-by-step explanation:
Answer:
One number is 4.2, the other is 18.8
Step-by-step explanation:
1.) x+y=23
(x+6y)x2=4
2.) (x+6y)x2=4 = 2x+12y=4
3.)Use elimination/substitution to solve
2x+12y=4 = x+6y=2 = x=2-6y
2-6y+y=23
4.)Solve for y
2-5y=23 -> -5y=21 -> y=4.2.
5.)Solve for x
x+4.2=23
x=18.8
I may be wrong so let me know if I am
Answer:
5, 29 will both blank boxes
Step-by-step explanation:
the product of (4z^2 + 7z – 8) and (–z + 3)
(4z² + 7z – 8)(–z + 3)
-z(4z² + 7z – 8) + 3(4z² + 7z – 8)
-4z³-7z²+8z+12z²+21z-24
choose like terms
-4z³-7z²+12z²+8z+21z-24
-4z³+5z²+29z-24
5, 29
Answer:
The LCM of 9, 12, and 24, is <em>72. </em>
Step-by-step explanation:
To find the answer you must figure out the factors of <em>each number</em>, and see which factor has the <em>same number.</em>
<u><em>Factors of 9: </em></u> <u><em>Factors of 12:</em></u><em> </em><u><em>Factors of 24: </em></u>
<em> 9 12 24</em>
<em> 18 24 48</em>
<em> 27 36 72</em>
<em> 36 48</em>
<em> 45 60</em>
<em> 54 72</em>
<em> 63</em>
<em> 72</em>
When we look at all these factors, none of them have the same number <em>except 72.</em> Since <em>all</em> of these factors have <em>72 in them</em>, this is the<em> </em>LCM of 9, 12, and 24.