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emmasim [6.3K]
3 years ago
8

If I buy a 7.2 oz bag of cheese-its for $1.99 how much will I be paying for 1 oz?

Mathematics
2 answers:
o-na [289]3 years ago
8 0

Answer:

i think 0.28

Step-by-step explanation:

andrew11 [14]3 years ago
7 0

Answer:

You would pay $0.28 for 1 oz of bag of cheese

Step-by-step explanation:

$1.99 (price for 7.2 oz) ÷ 7.2 oz (how much the bag weighs) = $0.28 (rounded since the original number was: 0.2763888)

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The first three terms of an arithmetic progression are m,12 and n . Find the value of m+n​
Vera_Pavlovna [14]
<h3>Answer:  24</h3>

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

  • First term = m
  • Second term = 12 = m+d
  • Third term = n = (m+d)+d = m+2d

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

-----------------

A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

-----------------

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

-----------------

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

3 0
3 years ago
Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The goal is to sh
natulia [17]

Complete Question

Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true for n ≥ 18.

Show statements P (18), P (19), P (20), and P (21) are true, completing the basis step of the proof.

Answer:

P(18) is true

P(19) is true

P(20) is true

P(21) is true

Step-by-step explanation:

a. When n = 18

18 cents can be formed using two 7cents and one 4cents

i.e. 2 * 7 + 4 = 18

So, P(18) is true

b. When n = 19

19 cents can be formed using one 7cents and three 4cents

i.e. 1 * 7 + 3 * 4 = 19

So, P(19) is true

c. When n = 20

18 cents can be formed using five 4cents

i.e. 5 * 4 = 20

So, P(20) is true

d. When n = 21

18 cents can be formed using three 7cents

i.e. 3 * 7 = 21

So, P(21) is true

7 0
3 years ago
If a/b=5/3 then 3a = ____.
Tresset [83]
Answer: 15
a=5, b=3
3a= 3x5= 15
3 0
2 years ago
Read 2 more answers
You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights ar
UNO [17]

<em>Complete Question:</em>

<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>

<em>The initial heights are shown. </em>

Write a system of linear equations that represents this situation.

Answer:

s(x) = 8 + 4x

h(x) = 14 + 6x

Step-by-step explanation:

Given

Spruce Tree (s):

Initial\ Height = 8

Growth = 4 (yearly)

Hemlock Tree (h):

Initial\ Height = 14

Growth = 6 (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

Equation = Initial\ Height + Growth * x

For Spruce Tree (s):

s(x) = 8 + 4 * x

s(x) = 8 + 4x

For Hemlock Tree (h):

h(x) = 14 + 6 * x

h(x) = 14 + 6x

<em>Hence, the equations are </em>s(x) = 8 + 4x<em> and </em>h(x) = 14 + 6x<em></em>

3 0
2 years ago
Please help me this is due today at 11:59
k0ka [10]

Answer:

NM corresponds with DC, and the scale factor is 3

7 0
2 years ago
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