1answer.
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
Gennadij [26K]
2 years ago
13

How many pounds of coffee worth $7 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $5 a p

ound
Mathematics
2 answers:
EleoNora [17]2 years ago
7 0
It’s a 5 pounds and it’s a long thing so it’s just easy to answer it’s a
goldfiish [28.3K]2 years ago
4 0
Let's begin by assigning a letter to represent our unknown:
x = lbs. of coffee at $7 per lb.

Now let's write an equation to express the cost of mixing the $7 per lb. coffee with the $4 per lb. coffee based upon how many pounds we have of each:
(7)(x) + (4)(10) = (5)(x + 10)

Solving our equation for x:
7x + 40 = 5x + 50
7x - 5x = 50 - 40
2x = 10
x = 5 (lbs. of coffee at $7 per lb.)

We can verify our answer by plugging our answer back into our equation and checking to see that both sides balance:
(7)(x) + (4)(10) = 5(x + 10)
(7)(5) + 40 = 5(5 + 10)
35 + 40 = 25 + 50
75 = 75 (both sides balance)

Since both sides balance, we are confident that our answer is correct.
Hope this helps !
You might be interested in
Kayak: $329.95, 33% off
Stels [109]

Answer:

$221.0665 so $221.07

Step-by-step explanation:

6 0
3 years ago
What is the area of this triangle? 0 480 m2 525 m2 675 m2 900 m2​
Kruka [31]

Answer:

480 m²

Step-by-step explanation:

A = bh/2

A = 64 m × 15 m / 2

A = 480 m²

7 0
2 years ago
Read 2 more answers
Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.
sergij07 [2.7K]

(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1

For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:

\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1

which reduces to

<em>c</em> / 2 (0 + 1) = 1   →   <em>c</em> = 2

(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678

5 0
2 years ago
$32.00 for 10 cookies<br> Unit rate.
Nadya [2.5K]

Answer:

$32/10 = $3.2/cookie

Step-by-step explanation:

5 0
2 years ago
What is the solution of the equation?-10 + sqrt x+8 = -4
pantera1 [17]
D:x+8\geq0\to x\geq-8\\\\-10+\sqrt{x+8}=-4\ \ \ /+10\\\\\sqrt{x+8}=-4+10\\\\\sqrt{x+8}=6\iff x+8=36\\\\x=36-8\\\\x=28\in D
6 0
3 years ago
Other questions:
  • Hi everyone can someone please help with this problem?
    12·2 answers
  • James filled 4 glasses with milk. Patrick filled 6 glasses with milk. Each glass held 8 ounces of milk. Which method explains a
    15·1 answer
  • Find the degree of the polynomial -2х2 +х+ 2.
    11·2 answers
  • An electronics store had a 20% off sale,if a stereo originally cost $125,how much did the stereo cost during the sale
    8·2 answers
  • 4 pages in 6 minutes. how long to read 6 pages
    12·2 answers
  • GameStop has the Xbox One advertised for 15% off the original price of $350, plus 6% sales tax. Online Xbox One is advertised at
    7·1 answer
  • What is 25% of 2,500
    8·2 answers
  • Is 4(x+2)+3x+7 equivalent to 7x+14
    7·2 answers
  • Find the common difference: 29, 21, 13, 5, ...<br> Find
    11·2 answers
  • A rectangular sheet of metal is 10 cm longer than it is wide. Squares 5 cm on a side, are cut from the corners of the sheet, and
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!