:
The CoffeeShop is creating a new blend of coffee. Coffee A sells
for $5 per pound. Coffee B sells for $9 per pound. The
Coffee Shop will mix 20 pounds of the new blend and sell it for $6
per pound. The following equations represent the problem of
keeping the cost of the blend consistent with the Ingredients.
a + b = 20
5a + 9b = 120
a = pounds of Coffee A and b = pounds of Coffee B
How many pounds of Coffee B should be used in the blend?

Answers

Answer 1

Let x = pounds of $12 per pound coffee

then

20-x = pounds of $9 per pound coffee

.

12x + 9(20-x) = 10(20)

12x + 180 - 9x = 200

3x + 180 = 200

3x = 20

x = 20/3

x = 6 and 2/3 pounds of $12 per pound coffee

.

Amount of $9 per pound coffee:

20-x = 20-20/3 = 60/3 - 20/3 = 40/3

or

13 and 1/3 pounds of $9 per pound coffee


Related Questions

an alligator can run 17.5 miles in 30 minutes. at this rate, how far could they go in 2 hours.

Answers

Answer:
70

Explanation:
17.5x4=70

4, 30 minute segments make 2 hours so 17.5x4 means 17.5 miles in 4 segments of 30 minutes which add up to 2 hours would make 70

Please help asap! I'll give brainly!

Please help asap! I'll give brainly!
Please help asap! I'll give brainly!

Answers

Answer:

for the first one the answer is 75, for the second one its they are not proportional,

Step-by-step explanation:

IM not sure if its correct sorry:)

Mindy planted 32 bulbs in her garden for a spring project. Each bulb cost $2.30. She used x bags
of potting soil while planting the bulbs. Each bag of potting soil cost $5.45. Write an expression to
show how much money Mindy spent on her spring project.

Answers

Let donate the bulbs with B
Let donate potting soil with S
Then the equation will be be :
B(2.30)+S(5.45)=project cost

Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the blue prism?
the green prism has a height of 25 cm, a depth of 5 cm, and a length of 10 cm
the blue prism has a height of 10 cm, a depth of 2 cm, and a length of 3 cm
PLEASE HELP!!

Answers

Comparing the dimensions of the prisms,  the number of times in which  the surface area of the green prism is greater than the surface area of the blue prism is 7.59

Surface area of a prism

The formula for the surface area of a prism is SA=2B+ph, where B, again, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.

Area of the base of prism = lw

Perimeter of the base of a prism = 2(l+w)

Surface area of the green prism

height of 25 cm, a depth of 5 cm, and a length of 10 cm

Area of the base of prism = lw = 10cm × 5cm = 50cm²

Perimeter of the base of a prism = 2(l+w) = 2(10+5) = 30cm².

SA=2B+ph

 = 2 ( 50) + 30 × 25 = 100+750= 850cm²

Surface area of the blue prism

height of 10 cm, a depth of 2cm, and a length of 3cm

Area of the base of prism = lw = 3cm × 2cm = 6cm²

Perimeter of the base of a prism = 2(l+w) = 2(3+2) = 10cm².

SA=2B+ph = 2(6) + 10 × 10 = 112cm²

The number of times green prism is greater than blue prism = 850cm²/112cm²  = 7.59

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The cost of every college is expected to increase 3.5% next year. Write an equation that will help calculate the cost of other colleges next year. Use t to represent this year's cost and n
to represent next year's cost.

Answers

Answer:

n=t+t0.035

Step-by-step explanation:

If this year's cost is t, and next year's is n, and the difference between them is 3.5/100, so it is t, this year's cost, plus 0.035 of t, that is next years cost, n.

Answer: n=103.5t

Step-by-step explanation:

I don't have a step-by-step explanation but I hope this helps! :)

Consider the situations in the table below
Situation A: A hang glider descended 33.57 feet, and then ascended 14.98 feet.
Situation B: A football team gained 7 2/5 yards in one play, and then lost 3/5 of a yard in the next play.
Situation C: A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.
Situation D: A worker earned $23.66 Monday and spent $15.84 Tuesday.

Calculate the sum of each situation. Order the situations from least to greatest based on the numeric value of the sums.

Answers

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Step-by-step explanation:

A bus travels one and one half miles to a bus stop 4 times. How many miles in all has the bus traveled?

Group of answer choices

4 mi

5 mi

6 mi

7 mi

Answers

First you have your two numbers: 1.5 and 4.
The question explains that they travel 1.5 miles 4 times each, meaning you multiply the two.
1.5×4=6

So, your answer is 6 miles.

Hope this helps!
6 miles! 1.5 +1.5 = 3 and 3+3=6 :$

Please help!!! I'm stuck on this :(


Find 3 consecutive integers such that if you subtracted twice the smallest from 212 more than the largest you get 147.

I figured out an equation for this and simplified it (z + 212 - 2x = 147 to z = -65 + 2x), but I can't figure out what to do next. Help would be SO appreciated! Thanks!

P.S. I realized I put it as a middle school problem but I'm actually taking a freshman-level class (Algebra 1). I'm in 8th grade. Sorry!

Answers

Answer: Im not completely sure this is going to help but this is what ive got from the information you gave

Step-by-step explanation;

Please help!!! I'm stuck on this :(Find 3 consecutive integers such that if you subtracted twice the

Answer: The three consecutive numbers are; 14,15,and16.

Which scenario can be modeled by the linear function
y = -15x + 500?

A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.

B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.

C. A carpet cleaning service charges $500 plus an additional $15 for every hour.

D. A membership fee for a movie streaming service is free, but each rental costs $15.

Answers

I think the answer is C
The answer is a because it is able to be modeled unlike the rest

WILL MARK BIANLEAST PLZ PLZ PLZ I REALLIY NEED THIS ASAP








Paula keeps track of her heart rate after her workout and graphs her heart rate each week. According to the scatter plot, which number is an estimate of her heart rate after her workout in week 5?



120 beats per minute


110 beats per minute


130 beats per minute


100 beats per minute

WILL MARK BIANLEAST PLZ PLZ PLZ I REALLIY NEED THIS ASAPPaula keeps track of her heart rate after her

Answers

Answer: 120 beats per minute

Step-by-step explanation:

If you look at the plotted points on the graph, you can see that the rate is decreasing at a constant rate. As each week passes, the beats per minute rate drops by 10 beats. Therefore on Week 5, the heart rate will be 120 beats per minute.

Can someone help me and tell me what this is I dont get it

Can someone help me and tell me what this is I dont get it

Answers

Answer:

of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one

so:

a greater

b greater

c less

D greater

e equal

f less

g equal

Answers in bold:

P to Q:  greater than 1P to R:  greater than 1Q to S:  less than 1Q to R:  greater than 1S to P: equal to 1R to P:  less than 1P to S:  equal to 1

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

Explanation:

We have these three rules for scale factors

scale factor > 1,  enlarge the image0 < scale factor < 1,  shrink the imagescale factor = 1, the preimage and image are identical

With those rules in mind, we have enlargements for these transformations.

P to QP to RQ to R

All of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.

In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.

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

We also have these reductions

Q to SR to P

This is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.

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

And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.

P to SS to P

The order doesn't matter for this subset, but the order will matter for the other batches of transformations.

Whats the Length of XY
A. 5 units
B. 4 units
C. 3 units
D. 2 units

Whats the Length of XY A. 5 units B. 4 units C. 3 units D. 2 units

Answers

The length should be 5 units
Not enough information to be sure but the answer is most likely 3 aka C

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plsssssssssssssssss

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plsssssssssssssssss

Answers

I can’t read bring it closer on a new post
I can’t really see but i’ll be sure to help you if you could bring it closer !

Someone answer these

Someone answer these

Answers

Answer: I’ll ask my sis because she is in 10th

Step-by-step explanation:

To answer 1

In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

To answer 2

A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

What is the reciprocal of 1 2/7 ?

Answers

Answer:

7/9

Step-by-step explanation:

Change it to an improper fraction. So 7 times 1 plus 2. Which would be 9/7. The reciprocal is just flipping the numerator and denominator.

Answer:

7/9

Step-by-step explanation:

improper fraction of 1 2/7 is 9/7 . reciprocal is when flip both numbers so it would now be 7/9.

A cul-de-sac in town has four houses. Each house has four sides. Each side has four windows. Each window has four sections. Each section has four raindrops on it. Use the power to represent the total number of raindrops.

Answers

So with all of the section squares, you would have 64 squares. Multiply that by 4, for the raindrops on each section.

64*4=256
Now multiply that by 4 for the houses in the cul-de-sac.

256*4=1,024

Therefore, you would have 1,024 raindrops in total.

Lexxi Williams buys cat food for her cat, Miles, each week. It cost $5.27 per bag. How much would it cost her to buy cat food for a year? (Hint: there are 52 weeks in a year).

Answers

$274.04
5.27x52
That’s the answer!! I hope this helped!

Step-by-step explanation:   52x5.27 = 274.04

BYEEEEEEEEEE

Which graph shows the image being rotated 90°?

Which graph shows the image being rotated 90?

Answers

Answer:

its A

Step-by-step

C is just a trick one

b can be cancelled cuz it does tot go in the ll quadrant

and D can be cancelled cuz its like a 20 degree turn

Question 2(Multiple Choice Worth 2 points)
(Experimental Probability MC)

In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36. Predict how many times the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.

3
9
10
18

Answers

Answer is simply 3 :)))))))

9 the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36.

As, Expected number of outcomes = theoretical probability * number of trials

Expected number of outcomes = 3/36 x 108

                                                    = 9

Thus, the required value is 9.

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i need help with these two questions..:) please help!
15 points!!!!!!

i need help with these two questions..:) please help!15 points!!!!!!

Answers

Answer:

For the first one it would be E.

Step-by-step explanation:

Answer:

7: A, B, E

8: D

Step-by-step explanation:

for 7:

all i did was make a mental picture and solve after that

for 8:

this is simple. make a circle graph, with radii 6, and plot the points. If they are on the edges of the circle, they are 6 units away from origin. ive attached an image of this lol

i need help with these two questions..:) please help!15 points!!!!!!

In a garden, 2/3 of the flowers are roses. Of the roses in the garden, 5/12 are yellow and the rest are red. What fraction of the flowers are red roses?

Answers

7/18 of the flowers are red roses

because 5/12 are yellow, the rest would be red. so 7/12. but total roses are only 2/3 of the whole garden.

tip: when you see "of" in a fraction problem, it means you can multiply them.

so, 7/12 OF 2/3 is just (7/12) * (2/3).
multiplying straight across and simplifying will get you to 7/18!

PLEASE HELP, WILL GIVE BRAINLIEST!!
The table shows the location of different animals compared to sea level. Determine if each statement is True or False.
The distance between the fish and
the dolphin is |–3812 – (–8414)| = 4534 feet.
True or False?

The distance between the shark
and the dolphin is |–145 – 8414| = 22934 feet.
True or False?

The distance between the fish and
the bird is |1834 – (–3812)| = 5714 feet.
True or False?

The distance between the shark
and the bird is |1834 – 145| = 12634 feet.
True or False?

PLEASE HELP, WILL GIVE BRAINLIEST!! The table shows the location of different animals compared to sea

Answers

Fish and Dolphin: False 4602 ft
Shark and dolphin: false 8559 ft
Fish and bird: false 1689 ft
Shark and bird: false 1689 ft

Answer:

Fish and Dolphin: False 4602 ft

Shark and dolphin: false 8559 ft

Fish and bird: false 1689 ft

Shark and bird: false 1689 ft

Step-by-step explanation:

just did this question on a quiz .

A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?

2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100

Answers

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

2 over 8 equals j over 18

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

2 over 8 equals j over 18

QUICK! Find the area of the smallest square in the diagram.

A) 25 square feet
B) 5 square feet
C) 313 square feet
D) 13 square feet

QUICK! Find the area of the smallest square in the diagram.A) 25 square feetB) 5 square feetC) 313 square

Answers

Answer:

313 square feet

Step-by-step explanation:

313 square feet

Answer:

A) 25

Step-by-step explanation:

sides of top square are all 13 and sides of bottom square are all 12

we now have the hypotenuse (13) and another side length of the triangle (12) using a^2+b^2=c^2 we can find the side of the square then its area.

144+b^2=169

b^2=25

b=5, which means the smallest square's sides are all 5 making it have an area of 25

The graphs show the distances traveled by two cars moving at constant rates.

Drag to the table the unit rate that matches each graph.

The graphs show the distances traveled by two cars moving at constant rates.Drag to the table the unit

Answers

Answer:

doodey

Step-by-step explanation:

Sorry about the first answer use inspect code

Simplify each expression involving signed numbers.


-7 – 2 =
12 + (-4) =
-8(-6) =

18/-3=

Answers

Answer:

-5 , 8 , 48 , -6

Step-by-step explanation:

-7- -2 = -5

This complies with the rule that 2 negatives make a positive.

12 + (-4) = 8

You just ignore the brackets.

-8(-6) = 48

The -8 next to the bracket with no symbol means you need to multiply, and again 2 negatives make a positive.

18/-3 = -6

As the 18 is not negative, but -3 is, the answer is also a negative because one negative and one positive make a negative!

Hope this helps and have a good day!

-5 8 48 and -6

hope I helped

-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)

Answers

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

becoz it is a multiple choice, we can go by elimination, hence when we expand #4, we will get -3+6x

4 painters can paint a room in 6 hours how long will it take 3 painters to paint the same room

Answers

Answer:

the answer is that it will take 3 panters  3.5 hours to pant that room

Step-by-step explanation:

The number of hours taken by the painter to paint the room will be 4.5 hours .

Given,

4 painters can paint a room in 6 hours .

Now according to the method of unitary,

If 4 painters can paint the room in 6 hours ,

Then

1 painter will paint the room in

6/4 hours

= 3/2 hours .

Now the number of painters are 3

So if 1 painter paints the room in 3/2 hours then,

3 painters will paint the room in

3*3/2

= 4.5 hours

Thus the number of hours required are 4.5 hours .

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What is the value of

What is the value of

Answers

Answer: option 1

Step-by-step explanation:

Answer:

1. Is the correct one.

Step-by-step explanation:

Pls help! Will give brainliest!!

Pls help! Will give brainliest!!

Answers

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Since the area is equal to length times width, and you know your area has to be 30, you can plug in your values like this:

(2x+7) x = 30

you can distribute to make this easier

2x^2 + 7x = 30

you can plug this into quadratic formula by setting the equation =0, so:

2x^2 +7x -30 = 0

where 2x^2 = a
7x = b
and -30 = c

you can plug this into your calculator and get an answer of

X = 2.5
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