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Snowcat [4.5K]
3 years ago
13

Morley Cunningham computed the unit price of an 8-count package of hamburger buns and found them to be $0.03 more per bun than t

he unit price of a 10-count package. If the 8-count package costs $0.45 less than the cost of the 10-count package, find the cost of the 10-count package.
Mathematics
2 answers:
Oliga [24]3 years ago
8 0

Answer:

it's $3

Step-by-step explanation:


Lady_Fox [76]3 years ago
3 0
Let the cost of each bun in 8 count package is x and the cost of each bun in 10 count package is y.

It is given that the unit price of an 8-count package of hamburger buns is $ 0.03 more than the unit price of a 10-count package. So we can write the equation:

x = y + 0.03           (1)

The 8-count package costs $0.45 less than the cost of the 10-count package. We can write this in equation as:

8x = 10y - 0.45     (2)

Using the value of x from (1) in equation (2) we get:

8(y + 0.03) = 10y - 0.45

8y + 0.24 = 10y - 0.45

0.24 + 0.45 = 10y - 8y

0.69 = 2y

y = $ 0.345

This means the unit price of 10 count package of hamburger buns is $ 0.345. So the cost of entire pack will be 10 x 0.345 = $ 3.45 

Thus, the cost of 10-count package is $3.45

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A new carpet cleaning company claims that they can clean 3 times as many carpets in 1 week as another company. If both companies
inna [77]

Answer:

The number of carpets cleaned by new company per week  is 249

Step-by-step explanation:

Let us assume :

The number of carpets cleaned by old company in 1 week = m

So, the number of carpets cleaned by new company in 1 week

= 3 x ( Number of carpets cleaned by old company)

 = 3 (m) = 3 m

Total carpet cleaned altogether in a week  = 332

So, Total Carpets cleaned by both companies in 1 week

= Number of carpets cleaned by ( Old + New) company in 1 week.

=  m + 3  m =  4 m

⇒  4  m = 332

or, m = 332 / 4 = 83  , or m = 83

Hence number of carpets cleaned by old company per week = m = 83

The number of carpets cleaned by new company per week

= 3 m =  3 x 83= 249

8 0
3 years ago
Factorise <br> x2 + 10x + 16
d1i1m1o1n [39]

Answer:

hope this helps, (x+2) (x+8)

Step-by-step explanation:

factor x^2 + 10x+16 using the AC Method

6 0
2 years ago
Read 2 more answers
It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
AysviL [449]

Answer:

540 pages

Step-by-step explanation:

100 pages = 50 mins

??? pages = 270 mins (converted 4hrs 30 mins to minutes)

Now you could cross multiply to find what the number of pages are:

100 pages x 270  mins = 50 mins x ??? pages

27000 = 50 mins x ??? pages

27000/50 = ??? pages

540 = ??? pages

So there are 540 pages in his favourite book.

8 0
2 years ago
A bag contains 6 red marables and 12 blue ones you select one marable at random from the bag what is the probability that you se
-BARSIC- [3]

Answer:

1/3

Step-by-step explanation:

The total number of marbles is

6+12 = 18

P( red) = red/total

           = 6/18

           =1/3

3 0
3 years ago
Read 2 more answers
Prove that sinxtanx=1/cosx - cosx
maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}

Taking the RHS, note

\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}

Remember that

\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)

Therefore,

\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}

Once

\dfrac{\sin(x)}{\cos(x)} = \tan(x)

Then,

\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)

Hence, it is proved

5 0
2 years ago
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