Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56

Answer:

The nth term is [tex]a_n = 4 - 5(n-1)[/tex]

The 60th term of the sequence is -291.

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.

The nth term is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

4,-1,-6

The common difference is:

[tex]d = -1 - 4 = -5[/tex]

First term [tex]a_1 = 4[/tex]

So

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = 4 - 5(n-1)[/tex]

60th term:

[tex]a_{60}[/tex]. Si

[tex]a_{60} = 4 - 5(60-1) = -291[/tex]

The 60th term of the sequence is -291.

Answer:

The multiples of 8 are 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192,200,208 and so on. Any number that can be denoted in the form 8n where n is a natural number is a multiple of 8.

Answer:

rock, pop, metal, country

Step-by-step explanation:

i just took the test :)

On Edmentum and got it right.

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Set up the proportion

[tex] \frac{3}{6} = \frac{7}{6 + x} [/tex]

[tex]18 + 3x = 42[/tex]

[tex]3x = 24[/tex]

[tex]x = 8[/tex]

Answer:

perimeter = 48 Area = 144

Step-by-step explanation:

was that all?

Answer:

36 Inches

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

it would just be 12×3=36

9514 1404 393

Answer:

  (d)  new line is less steep

Step-by-step explanation:

Changing the slope from 3 to 1/3 makes the line less steep.

__

In the attachment, the blue line is the new line.

Answer:

Assuming you mean a rectangular prism, cube, or triangular prism,the volume would be 384.

Step-by-step explanation:

Well volume for those two shapes could be b*h

SO base times height is always gonna give you volume for most shapes

Answer:

Histogram is the correct answer

MARK AS BRAINLIEST PLEASE.

The type of graph used is Bar graph.

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.

As, per the given data,

the best way to represent the data is Bar graph.

The data is a primary data and for such type of data Bar graph is used,

Learn more about Bar graph here:

https://brainly.com/question/8644324

#SPJ2

Answer:

3x+4

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

We're going to say Job A is the charge at Jim's shop. For h hours, that charge will be the sum of the parts cost and the hourly charge:

  j = 25 +55h

Job B is the charge at Myron's shop. Similarly, that charge is ...

  m = 50 +30h

__

The two charges are equal when ...

  j = m

  25 +55h = 50 +30h

  25h = 25 . . . . . . . . . . . subtract 25+30h from both sides of the equation

  h = 1 . . . . . . . . . . divide by 25

The charges are the same at the two shops for 1 hour worked.

_____

Additional comment

You may be expected to write your equations using y for the charge and x for the hours. I like to use variable names that remind me what they stand for.

__

In general, when you have rates that have different fixed fees and different per-quantity costs, the "break even" quantity is the ratio of the difference in fees to the difference in per-quantity costs. Here the parts (fees) differ by $25, and the per-hour cost differs by $25, so the number of hours is 25/25 = 1 to make the charges equal.

Answer:

5/8 in simplest form is 5/8

Step-by-step explanation:

Answer:

5/8 is in the simplest form already.

Step-by-step explanation:

It cant be lowered anymore, due to 5 not being divisible by 4, 2, or 8, which is what 8 is divisible by.

Answer:

D

Step-by-step explanation:

2 x 2 = 4 x PI = 12.56

Answer: weight, heigh, and how many times something occurre.

Step-by-step explanation:

Answer:

I think that its D

Step-by-step explanation:

..

Answer:

A 2

Step-by-step explanation:

have a good day /night sorry if wrong

Answer:

20% of his budget

Step-by-step explanation:

1500 - 100% /10

150 - 10 % ×2

300 - 20%

Answer:

20%

Step-by-step explanation:

The % is 300 / 1500 * 100% = 0.2 * 100% = 20%

It’s D the answer is D

Answer:

13

Step-by-step explanation:

Computers=6

Printers=7

Now,

=6+7

=13

Answer: 11/4

or 2.75

Step-by-step explanation:

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

Answer:

[tex]2\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

1. A

2.C

Step-by-step explanation:

1. 170+170+10+10=360

2. 60x25=1500

1500/100=15

25-15=10

10% OF 10= 1

The answer is 11.

Answer:

4 and 40

Step-by-step explanation:

2/5 of 10 is 4

2/5 of 100 is 40

Answer:

Box dimensions:

L = 3 ft

D = 6 ft

H = 1 ft

Volume  V = 18 ft³

Step-by-step explanation:

a) Each side of the future box is

L = 5 - 2*x     D = 8 - 2*x  

height of the box is   x

Then the volume of the box as function of x is:

V(x) =  ( 5 - 2*x ) * ( 8  - 2*x ) * x

V(x) = ( 40 - 10*x - 16*x + 4*x² ) * x

V(x) = 40*x - 26*x² + 4*x³

Tacking derivatives on both sides of the equation:

V´(x) = 40 - 52*x + 12x²     or     V´(x) = 20 - 26*x + 6*x²

If V´(x) = 0

6*x² - 26*x + 20  = 0

Solving for x

x₁,₂  = (-b ± √ b² - 4*a*c  ] /2*a

x₁,₂  = ( 26  ±  √ 676  - 480  ) / 12

x₁,₂  =  (26 ± 14 )/ 12

x₁  = 1

x₂ = 3,33        ( we dismiss this solution since is not feasible according to cardboard dimensions )

Then the sides of the box are:

L = 5 -2*x      L  =  5 - 2*1     L = 3 ft

D = 8 - 2*x    D  = 8 - 2*1     D = 6 ft

H = x = 1 ft

And the volume is    V = 6*3*1 = 18 ft³

Answer:

36

Step-by-step explanation:

sqrt(36)^2

36

I hope this helps

Answer:

The selected answer is correct (8 cm)

Step-by-step explanation:

So in this problem

we are given that the total length of the composite figure is 14 cm (this including the rectangle's length and the triangle's base length)

We also happen to be given the rectangles length

So we can find the triangles base length by subtracting the total length of the figure by the length of the rectangle

Triangle base length = 14 cm - 6 cm

14 - 6 = 8

Hence the answer is 8 cm