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
irga5000 [103]
3 years ago
9

Julia owns a coffee shop. She experimented with mixing City Roast Colombian coffee that costs $7.80 per pound with French Roast

Colombian coffee that costs $8.10 per pound to make a 20-pound blend. Her blend should cost her $7.92 per pound. How much of each type of coffee should she buy?
Mathematics
2 answers:
Over [174]3 years ago
6 0

Answer:

Step-by-step explanation:

x = City Roast Colombian coffee

y = French Roast Colombian coffee

x + y = 20

cestrela7 [59]3 years ago
4 0

Answer: They should buy 12 pounds of City Roast and 8 pounds of French Roast.

Step-by-step explanation:

Let x be the weight of City Roast colombian coffee.

Let y be the weight of French Roast Colombian coffee.

Weight of blend = 20 pounds

So, our equation becomes

x+y=20--------------(1)

Cost of per pound of City Roast = $7.80

Cost of per pound of French Roast = $8.10

Cost of blend = $7.92

So, our equation becomes,

7.80x+8.10x=7.92\times 20\\\\7.8x+8.1y=158.4--------(2)

From Eq(1), we get that

x=20-y

Put this in Eq(2), we get that

7.8(20-y)+8.10y=158.4\\\\156-7.8y+8.10y=158.4\\\\0.3y=158.4-156\\\\0.3y=2.4\\\\y=\dfrac{2.4}{0.3}\\\\y=8

x=20-y\\\\x=20-8\\\\x=12

Hence, they should buy 12 pounds of City Roast and 8 pounds of French Roast.

You might be interested in
Type the correct answer in each box.
Mariulka [41]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)    

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

r=\sqrt{(2+4)^{2}+(-3-5)^{2}}

r=\sqrt{(6)^{2}+(-8)^{2}}

r=\sqrt{100}\ units

r=10\ units

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center

r is the radius

we have

(h,k)=(5,-4)\\r=10\ units

substitute

(x-5)^2+(y+4)^2=10^2

(x-5)^2+(y+4)^2=100

6 0
3 years ago
P(x)=×^4-x^2-3<br>use the remainder theorem and synthetic division to find p(-2)
xxTIMURxx [149]

Answer: p(-2)=9


Step-by-step explanation:


8 0
3 years ago
Which equation and solution represents the statement shown?
Vladimir79 [104]

Answer:

I believe the answer is

x + 4 = 6.5

-4 -4

__________

x = 2.5

Step-by-step explanation:

hope this helps!

6 0
2 years ago
A shirt that normally sells for $28 is on sale at a 10% discount. What is the sale price of the shirt?
sdas [7]
The shirt would then be $25.20
8 0
3 years ago
Read 2 more answers
Plss show the work<br> –4z + 8 = –2z
IceJOKER [234]

Answer:

z=-4/3

Step-by-step explanation:

8=-6z

z=-8/6

z=-4/3

4 0
2 years ago
Other questions:
  • I am the largest 7-digit number you can write with the digits 3, 6, 9, 4, 0, 8, and 2
    9·2 answers
  • Simplify 8 to the -5th power over 8 to the -3rd power
    8·1 answer
  • Which numbers are between 4 over 6 and 7 over 5
    8·1 answer
  • Six people share 28 pounds of gold evenly among themselves. How many pounds of gold does each person get? Subtract 1 2/3 from th
    7·1 answer
  • Ella collects 50 bottles to recycle.Of the bottle she collects 19 are plastic and the rest are glass.What percent of the bottles
    7·1 answer
  • The perimeter of Dawna's new flat screen television is 70 inches. The ratio of its length to width is 4:3. Write and solve an al
    12·2 answers
  • For what values of m does the graph of y = mx?- 5x-2 have no<br>5x - 2 have no x-intercepts?​
    14·2 answers
  • Cada um dos números abaixo localiza-se entre dois números nativos consecutivos. Quais são esses números em cada caso?
    12·1 answer
  • Find all excluded values for the expression.
    8·1 answer
  • Divya has 70 rocks. She donates half of the rocks to a science center. Then she collects 3 rocks on each of her nature hikes. Wr
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!