Factors of -96 that add up to -10

Create an arithmetic sequence with a common difference of -10

trapecia [35]

Answer:

0, -10, -20, -30, -40, -50, ..., -10(n-1)

Step-by-step explanation:

An arithmetic sequence with a common difference of -10 just indicates that each term adds negative ten to the prior one, which is just subtracting ten. If you slap a random value as the beginning, zero in my example, then you spam subtract negative tens, you get an arithmetic sequence. The variable "n" is just the term number - 0 was n=1, -10 was n=2, -20 was n=3, etc.

8 0

3 years ago

A store is having a sale on walnuts and chocolate chips. For

Afina-wow [57]

The cost of 4 walnuts is 4/12*33=11
the cost of 8 pounds of chocolate is 8/12*33=22
the cost of 1 pound of walnuts is 11/4= $2.75 and the cost of one pound of 1 pound of chocolate chips is 22/8=$2.75

5 0

4 years ago

A rectangular tank with a square base, an open top, and a volume of 5324 ft cubed is to be constructed of sheet steel. Find th

ira [324]

Answer:

Step-by-step explanation:

I can't unless you give me the length and width or its impossible

3 0

3 years ago

I need help with Inverses

Morgarella [4.7K]

The inverse function is just:

m(p) = 4p - 28

So the correct option is B.

<h3>How to get the inverse function?</h3>

Here we start with the given function:

$p(m) = \frac{m}{4} + 7$

To find the inverse m(p), we need to isolate the variable m in one side of the given function.

If we subtract 7 in both sides, we will get:

$p - 7 = \frac{m}{4}$

If now we multiply both sides by 4, we get:

$4*(p - 7) = m\\\\4p - 28 = m$

Then the inverse function is just:

$m(p) = 4p - 28$

If you want to learn more about inverse functions:

brainly.com/question/14391067

#SPJ1

8 0

2 years ago

Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of c

lutik1710 [3]

Answer:

233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

40f +25c ≤ 21000

The other expresses the limit on volume.

20f + 5c ≤ 7000

_____

<u>Feasible Region vertex</u>

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

5(20f +5c) -(40f +25c) = 5(7000) -21000

60f = 14000

f = 233 1/3

The second boundary line equation can be rearranged to find c:

c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

(f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

<u>Check of Integer Solution</u>

Trying these in the constraint inequalities gives ...

40·233 +25·467 = 20,995 < 21000
20·233 +5·467 = 6995 < 7000

<u>Selection of the Answer</u>

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

p = 13f + 6c

The values of p at the vertices are ...

p = 13·233 + 6·467 = 5831

p = 13·0 + 6·840 = 5040

p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

7 0

3 years ago