Answer: –145 is the 25th term in this series where each term is 7 less than the preceding term.
Step-by-step explanation: Find the difference between the numbers given.
They are decreasing by 7.
The requested term is 25. Subtract -1 . = 24 (n-1)
Multiply 24 × -7 = -168
Add that to to first term
23 + (-168) = the 25th term
–145 is the 25th term in this series where each term is 7 less than the preceding term.
We know that
the solution of the equations system is the intersection both graphs
first point of intersection is in the interval [-2,-1]
second point of intersection is in the interval [2,3]
<span>the only option that meets these two conditions is the option D
</span>-1.9 and 2.6
Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
Answer:
102 hamburgers
Step-by-step explanation:
Hotdogs: 8 272
Hamburgers: 3 HB
8/3=272/HB
3*272=8HB
816=8HB
HB=102
Answer: A. 40%
Step-by-step explanation:
to find the percentage decrease, first you have to subtract $6,300 from $10,500, which equals $4,200. This is the amount decreased from the price of the car. Then, to find the percentage that $4,200 is to $10,500, you have to divide 4,200 by 10,500. This should give you 0.4, the percentage is this number multiplied by 100. This should give you the number 40, which means that the percentage decrease of the price of the car; 40%.
