Answer:
x=7
Step-by-step explanation:
3(x+1)+5(x+1)=64
(3+5)(x+1)=64
8(x+1)=64
8x+8=64
8x=56
x=7
A. As with any purchase, the total cost is the cost of each item multiplied by the number of items.
$3×(32 +56)
= $3×88
= $264
B. From part A, 88 pins.
C. $3×56 = $168
D. 56 -32 = 24
Cheryl bought 24 more pins in April than in March.
(Sometimes, "the difference of M and A" is intended to be strictly interpreted as "M - A". If that is the intent here, then the answer would be -24. More commonly, this wording is interpreted in common English to mean the value that results when the smaller number is subtracted from the larger one.)
Answer:
12.50 + (7.5)(h-1) ≤ 50
6 hours or less
Step-by-step explanation:
The first hour is 12.50. Each additional hour is 7.50
Let h be the number of hours
12.50 + (7.5)(h-1)
We use h-1 since the first hour is 12.50
This must be less than or equal to 50
12.50 + (7.5)(h-1) ≤ 50
Now we solve the inequality
Subtract 12.50 from each side
12.50-12.50 + (7.5)(h-1) ≤ 50-12.50
(7.5)(h-1) ≤ 37.50
Divide by 7.5 on each side
(7.5)/7.5(h-1) ≤ 37.50/7.5
h-1 ≤ 5
Add 1 to each side
h-1+1 ≤ 5+1
h ≤ 6
We can only rent for 6 hours or less
Answer:
CD = 14
Step-by-step explanation:
<em>here</em><em>'s</em><em> </em><em>your</em><em> </em><em>solu</em><em>tion</em>
<em> </em><em> </em>=> In ∆ ABD and ∆ CBD
=> AB = CB
=> Angle ABD = Angle CBD
=> DB = DB
=> hence, both triangle are congurent
By ASA (criteria)
=> so, AD = CD (by C.P.C.T)
=> CD = 14
=> AD = 14
hope it helps【◆◆】
Answer:
Every day, the mass of the sunfish is multiplied by a factor of <u>[ln(1.34)/6]. </u>
<u></u>
Step-by-step explanation:
You have the following function:
To know what is the factor that multiplies the mass of the sunfish each day, you derivative the function M(t):
(1)
where you have used the following general derivative:
The derivative give you the increase in the mass per day (because t is days). By the expression (1) you can conclude that each day the mass increase a factor of [ln(1.34)/6].
Every day, the mass of the sunfish is multiplied by a factor of <u>[ln(1.34)/6]. </u>