Lucy plans to spend between $50 and $65, inclusive, on packages of charms. If she buys 5 packages of beads at $4.95 each, how many packages of charms at $6.55 can Lucy buy while staying within her budget

Answers

Answer 1
Answer: She can get six.

4.95 x 5 = 23.25

6 x 6.55 = 39.30

23.25 + 39.30 = 62.55

Lucy cannot buy a seventh 6.55 package without going over her budget.

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A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the caris 30 mph slower than twice the speed of the motorcycleIn two hours, the car is 20 miles ahead of the motorcycle. Find thespeed of both the car and the motorcycle, in miles per hour.

Answers

speeds are s_c for car, s_m for motorcycle.

time is 2

distance of car is:
d_c = d_m + 20, d_m is distance of motorcycle.

speed is defined as:
s = d/t, distance over time.

hence:
d_c/2 = s_c = d_m/2 + 10
s_c = s_m + 10

from problem statement we know:
s_c = 2s_m - 30

so we have 2 simultaneous equations:
s_c = s_m + 10
s_c = 2s_m - 30

multiply second by -1 and sum them both:
 s_c =  s_m + 10
-s_c = -2s_m + 30
-------------------------
0 = -s_m + 40
s_m = 40
that is the speed of the motorcycle

 s_c =  s_m + 10
 s_c =  40 + 10
s_c = 50

that is the speed of car, both speeds in miles per hour

An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?

Answers

0 to π/2 radians i might be wrong but i tried helping

Answer:

The first option 0 to π/2 radians

Step-by-step explanation:

Help i need help with this question.

Answers

Umm where’s the question cause that’s just a picture

The volume of the prism shown is 1,080 inches cubed. A rectangular prism with a length of 15 inches, width of 9 inches, and height of 8 inches. What is the volume of a pyramid with the same base length, base width, and height? 360 inches cubed 540 inches cubed 1,080 inches cubed 3,240 inches cubed

Answers

9514 1404 393

Answer:

  (a)  360 inches cubed

Step-by-step explanation:

The volume of a pyramid is 1/3 the volume of a rectangular prism with the same overall dimensions.

  (1/3)(1080 in³) = 360 in³ . . . . the pyramid volume

7 times the difference of a number and 3.2 is 8.4.

Answers

because subtraction comes before multiplication on the order of operations we have to put in parenthasis in this problem.

(x-3.2) is what we have so far.

then we multiply it by 7

so 7(x-3.2)=8.4



Help please! I have to do this math test and I dont understand ​

Answers

Answer:

y=1x+1

Step-by-step explanation:

y=1x+1 gradient= 1 and y-intersept = 1