answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cestrela7 [59]
1 year ago
5

Mike has coffee worth $4 per pound that he wishes to mix with 20 pounds of coffee worth $7 per pound to get a mixture that can b

e sold for $5 per pound. How many pounds of the cheaper coffee should he use?
Mathematics
1 answer:
Alinara [238K]1 year ago
5 0
\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{per~lb}{price}&\stackrel{amount}{price}\\
&------&------&------\\
\textit{\$4/lb coffee}&x&4&4x\\
\textit{\$7/lb coffee}&20&7&140\\
------&------&------&------\\
mixture&y&5&5y
\end{array}

so, we know the mixture is the sum of both types of coffee, thus x + 20 = y, and 4x + 140 = 5y.

\bf \begin{cases}
x+20=\boxed{y}\\
4x+140=5y\\
----------\\
4x+140=5\left( \boxed{x+20} \right)
\end{cases}
\\\\\\
4x+140=5x+100\implies 140-100=5x-4x\implies 40=x
You might be interested in
AT&T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $
denis-greek [22]

Given:

Cost of four lines = $125

Cost of each additional line = $15

Jason wants to spend at most $200 per month on cell phone expenses.

To find:

The inequality for the given situation.

Solution:

Let x be the number of additional line.

Cost of one additional line = $15

Cost of x additional line = \$15x

Total cost = Fixed cost + Addition cost

                = 125+15x

It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.

125+15x\leq 200

Therefore, the correct option is C.

8 0
2 years ago
A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a
Alex787 [66]

Answer:

6.48

Step-by-step explanation:

The computation of tiles are needed to make the border is shown below:-

= 2 \times (length + breadth)

where,

Length is 2.02 m

And, the breadth is 1.22

Now placing these values to the above formula

So, the number of tiles needed to make the border is

= 2 \times (2.02 + 1.22)

= 2 \times 3.24

= 6.48

Therefore for computing the tiles are needed to make the border we simply applied the above formula.

3 0
1 year ago
In one of its Spring catalogs, L.L. Bean® advertised footwear on 28 of its 192 catalog pages. Suppose we randomly survey 20 page
vichka [17]
100 easy os it correct
8 0
1 year ago
1. These four lines have been graphed on the same coordinate grid. Which lines are parallel to each other?
Sedaia [141]
1. lines j and k because they have the same slope.
2.d because -1/3 is the opposite slope of 3 and it passes through that point.
5 0
1 year ago
Read 2 more answers
The volume of a barrel of oil is calculated as 257,166 cm³.
Firdavs [7]
What is the digit at the hundred thousands place? It is 2. Is the digit to the right of it less than 5? No, 5 is 5. So replace the digits to the right of 2 with 0, and change the 2 to 3.
Answer: 300,000
8 0
2 years ago
Read 2 more answers
Other questions:
  • At a restaurant, your bill has a food total of $45.50. Find the amount of an 18% tip on the food total.
    10·2 answers
  • Min knows that pi times radius equals 9.42 cm. What would she need to do to find the area?
    11·2 answers
  • Let ​ f(x)=x2+5x−36 ​. Enter the x-intercepts of the quadratic function in the boxes.
    11·2 answers
  • The price of a round trip ticket to San Francisco increases from $525.00 to $650.00. To the nearest whole percent, what is the p
    13·2 answers
  • Monique planted seeds to grow pansies, Snapdragons, and petunias. After several weeks, 18 out of 40 pansy seeds, 21 out of 50 sn
    7·2 answers
  • The distance to the surface of the water in a well can sometimes be found by dropping an object into the well and measuring the
    5·1 answer
  • If the temperature in Minneapolis was -20℉ and then dropped to -25℉, what was the change in temperature?
    12·2 answers
  • Two forces, F1 and F2, are represented by vectors with initial points that are at the origin. The first force has a magnitude of
    11·1 answer
  • Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis? g(x) = Negative two-fifths(10)x g(x)
    5·1 answer
  • This list shows the number of years that 99 U.S. Supreme Court Justices served.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!