Please explain how to solve this problem

The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 400 pounds of the new blend. The selling price of the new blend is to be $4.50 per​ pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are​ required?

The blend should have _ pounds of Earl Grey and _ pounds of Orange Pekoe.

Answers

Answer 1

9514 1404 393

Answer:

100 pounds Earl Grey300 pounds Orange Pekoe

Step-by-step explanation:

Let x represent the number of pounds of Earl Gray tea in the mix. Then the total cost of the mix is ...

  6x +4(400-x)=4.50(400)

  2x +1600 = 1800 . . . . . . . simplify

  2x = 200 . . . . . . . . . . . subtract 1600

  x = 100 . . . . . . . . . . . divide by 2. Pounds of Earl Grey

  (400 -x) = 300 . . . . . Pounds of Orange Pekoe

The blend should have 100 pounds of Earl Grey and 300 pounds of Orange Pekoe.

_____

Additional comment

It is easy to show that the relationship between the quantities of high-cost (H) and low-cost (L) items in the mix (M) is ...

  fraction of mix that is H is (M -L)/(H -L)

Here, we have H=6, L=4, M=4.5, so the fraction of the mix that is Earl Grey is ...

  (4.5 -4)/(6 -4) = 0.5/2 = 0.25

There are 400 pounds of mix, so 0.25(400) = 100 pounds is Earl Grey.

The solution above is essentially 2-step, so using this relation doesn't necessarily save any steps. It just makes it possible to solve the problem in your head.


Related Questions

name the decimal number for 0.5

Answers

Answer:

zero point five

Step-by-step explanation:

zero point five

Zero point five is the answer

Please Help! I will give you a lot of points and the brainiest if you do.
--This involves Hindu-Arabic counting, so NOT our regular counting system

Answers

The signs and their values are given in right side use them to find the sum

The values are

17,13,0,16,11,9

Sum

17+13+0+16+11+9=30+20+16=66

Use the diagram 3 and 4 complementary 1.True 2.False

Answers

Answer:

False

Step-by-step explanation:

Complementary means the angles add up to a sum of 90⁰ and 3 and 4 add up to 180⁰ (considering the angles added together make a flat line and a flat line is 180⁰)

a sum of two angles that's add up to 180⁰ is what we call supplementary.

Determine whether the sequence is arithmetic or geometric.

Sequence 1: –10, 20, – 40, 80, ...
Sequence 2: 15, – 5, – 25, – 45, ...
Which of the following statements are true regarding Sequence 1 and Sequence 2.


A. Sequence 2 is arithmetic and Sequence 1 is geometric.

B. Sequence 1 is arithmetic and Sequence 2 is geometric.

C. Both sequences are geometric.

D. Both sequences are arithmetic.

Answers

Answer:

A. Sequence 2 is arithmetic and Sequence 1 is geometric

Step-by-step explanation:

Hello,

Answer A

-10,20,-40,80,.... is geometric= Sequence 1

15,-5,-25,-45.... is arithmetic= Sequence 2

Please help me and show me the steps

Answers

I believe the answer is 84x.
1. Combine the like terms which is 4x, 8x, and 8x.
2. Add them and you’ll get 84x.

Answer:

84x

Step-by-step explanation:

Solve in the bracket first,

4x-8x×(2-11)+8x

4x-8x(-9)+8x

Solve -8x(-9) =72x

4x+72x+8x

84x

Is the final answer

Find the measures of x and y

Answers

Step-by-step explanation:

x+45=180 [v.o.a]

x=180-45

.°.x=95

y+90=180°[v.o.a]

y=180-90

.°.y=90

a farmer knows that 5 sheep produce about 25 pound of wool. which is the best estimate how much wool the farmer can expect to get from her flock of 68 sheep

Answers

Answer:

340 pounds of wool

Step-by-step explanation:

If we take the estimate of 25 pounds for 5 sheep, you can guess that there is 5 pounds from each sheep. So, 5×68=340

Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the lake, the rock's distance from the lake's surface changes at a rate of −2 inches per second. If Lisa holds her hand 5 feet above the lake's surface, how far from Lisa's hand is the rock 4 seconds after it hits the surface?

Answers

Answer:

5 ft 8 in or 68 in

Step-by-step explanation:

In 4 seconds the rock will be at:

2*4 = 8 in from the surface

Add 5 feet to this to get the required distance:

5 ft + 8 in = 5*12 in + 8 in = 68 in

Distance after 8s:-

[tex]\\ \rm\longmapsto 4(-2)=-8in[/tex]

Now

Distance:-

[tex]\\ \rm\longmapsto 5-(-8)[/tex]

[tex]\\ \rm\longmapsto 5ft+8in[/tex]

1ft=12in

[tex]\\ \rm\longmapsto 5ft+3/4ft[/tex]

[tex]\\ \rm\longmapsto 23/4ft[/tex]

[tex]\\ \rm\longmapsto 5.7ft[/tex]

Convert to in

[tex]\\ \rm\longmapsto 5.7\times 12[/tex]

[tex]\\ \rm\longmapsto 68in[/tex]

Please help. Thank you.

Answers

Answer:

Area is equal to 37.5 m

I hope it's helps you

4. Verify the following for a = 3 and b = 4.
a) (a + b)^2= a^2 + 2ab + b^2
b)(a + b)^2 = a^2 - 2ab + b^2
c) (a + b)(a - b) = a^2 - b^2​

Answers

Answer:

(3+4)^2=9+24+16

7^2

=49

How many city bangladesh

Answers

Answer:

42

Step-by-step explanation:

Altogether, there are 42 such cities in Bangladesh. 11 of these cities can be considered major cities as these are governed by "City Corporations". All of the "City Corporation"-governed cities currently have a population of more than 200,000 (which is not a criterion for the status).

Answer:

42

Step-by-step explanation:

According to the Bangladesh Bureau of Statistics and the Ministry of Local Government, Rural Development and Co-operatives of Bangladesh, there are 532 urban centres in Bangladesh. The bureau defines an urban centre with a population of 100,000 or more as a "city". Altogether, there are 42 such cities in Bangladesh.

_______________________

I Hope It Is Helpful For You.

what is a equivalent ratio of 16:18

Answers

equivalent ratio of 16:18 is 8:9

Which of the following is equivalent to the expression 188 ?
O A. i
O B. -1
C. -1
D. 1
SUBMIT

Answers

The answer to the question is B= -1

BAHC is not the answer need helppppp

Answers

Step-by-step explanation:

puzzle 1)

domain is (1,2,3,4,5)

puzzle 2)

range is (3,4,5)

puzzle 3)

domain is(-2,1,2,4)

puzzle 4)

range is (1,3)

so the answer is BEHC

PLS HELPPPP!!! Its Due today , i need helpp!! There is a sequence of rigid transformations that takes A to A’, B to B’, and C to C’. The same sequence takes D to D’. Draw and label D’ :

Answers

Answer:

Is in the attachment.

Hope it helps you

If you have any questions just ask me

If you think my answer is the best mark me as brainliest

Rigid transformation moves a shape without changing the size of the shape.

See attachment for the diagram that shows the position of D'

From the question, we have the following transformations:

[tex]A \to A'[/tex].[tex]B \to B'[/tex].[tex]C \to C'[/tex].

Also:

Point D is between points B and CPoint D is closer to C than B

This means that:

After the transformation, point D' will be between points B' & C', and it will be closer to C'

See attachment for the diagram that shows the position of D'

Read more about transformations at:

https://brainly.com/question/13801312

Which ordered pair is a solution to the system?
x > 4
y > 2

A. (5, 6)
B. (-2,7)
C. (-4,-1)
D. (0,0)

Answers

Answer:

A.

Step-by-step explanation:

5>4

6>2

5 is greater than 4, 6 is greater than 2

plsssssssssss just helppppp

Answers

Answer:

46

Step-by-step explanation:

The missing length is 10-4 = 6

Therefore perimeter = 5 + 6 + 8+ 4+13 +10

=46

PLEASE HELP-




Bethany and Heather ran a mile in gym
class. Bethany finished in 8 7/16 minutes and
Heather finished in 10 3/16 minutes. Find the
difference in their times.

Answers

Answer:

1 3/4 simplified or 1 12/16 not simplified

urgent! please help
{brainliest}

Answers

Answer:

[tex] - {5c}^{4} \times ( { - c}^{8} ) \\ \\ = 5 \{( {c}^{4} ) \times (c {}^{8} ) \} \\ \\ [/tex]

from law of indices:

[tex] {a}^{n} \times {a}^{m} = {a}^{(n + m)} [/tex]

therefore:

[tex] = 5 \{ {c}^{(4 + 8)} \} \\ \\ { \boxed{ = 5 {c}^{12} }}[/tex]

Write the domain of the function using interval notation

Answers

Answer:

(-♾, 5) (5, ♾)

Step-by-step explanation:

.help.......................​

Answers

You can easily imagine a circle around your graphic. And then you remember that a circle has a total of 360 degrees all the way around the center.

This means that the following sum 4x + 2x + 3x = 360

⇔ 9x = 360

We divide both side by 9 and we get :

⇔ x = 360 / 9 = 40

So X value is 40°.

Choose the two expressions that have an equal value.
A.6÷0.2
B.0.6÷0.2
C.60÷2
D.600÷2

Answers

Answer:

A and C

Step-by-step explanation:

A. 6÷0.2=30

B. 0.6÷0.2=3

C. 60÷2=30

D. 600÷2=300

Given the speeds of each runner below, determine who runs the fastest.
Stephanie runs 8 feet per second.
Zach runs 485 feet in 47 seconds.
Liz runs 1 mile in 540 seconds.
Adam runs 676 feet in 1 minute.
Stephanie
Zach
Submit Answer
Liz
Adam

Answers

Adam divide the time by the distance and the biggest number is the fastest

Help with Venn Diagram / Set Operation Question (100 points)

Answers

Answer:

1)

Find the union of A and B:

A∪B = {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20}

Find the complement of above:

(A∪B)[tex]^{C}[/tex] = U\(A∪B) = {1,2,3,4,...,18,19,20}\ {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20} = {1,8,12,16}

2)

Find the intersection of A∩C:

A∩C = {5,6,7,14,20}

Find the complement of above:

(A∩C)[tex]^C[/tex] = U\(A∩C) = {1,2,3,4,...,18,19,20}\ {5,6,7,14,20} = {1,2,3,4,8,9,10,11,12,13,15,16,17,18,19}

Which rational number equalsIf (26)x = 1, what is the value of x? 0 point 1 with bar over 1?

Answers

Answer:

rational numbers equalslf 26×1=26the value of x =26ans

Jacey likes to do jumping jacks while eating jelly beans. She can eat about 41 jelly beans in 10 minutes. If she has eaten 1,231 jelly beans how many minutes has she been doing jumping jacks?

Answers

Answer:

About 300 minutes

Step-by-step explanation:

She can eat 41 jelly beans in 10 minutes and she has eaten 1231

You need to divide 1231 by 41 (then you will know how many sets of 41 jelly means she ate)

It will give you 30.024390...

and if she at this many sets of 41 and each 41 is 10 minutes,

then you have to multiply 30 by 10

you get about 100 minutes

I think :)

Calculate the straight line distance between the points (-10, -7) and (-8,1).
G.2(B)

Answers

Answer:

2√(17) or about 8.2462 units.

Step-by-step explanation:

We want to determine the distance between the two points (-10, -7) and (-8, 1).

We can use the distance formula. Recall that:

[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}[/tex]

Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

Calculate the straight line distance between the points (-10, -7) and (-8, 1).

Answer :-

The straght line distance between the two points is 8.2462 units.

[tex] \rule{200pt}{3pt}[/tex]

Solution :-

As per the provided information in the given question, we have been given that:

[tex](x_1, y_1) = (-10, -7)[/tex][tex](x_2, y_2) = (-8, 1)[/tex]

To calculate the distance between the two points, we will apply the formula below:

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \: \: }}[/tex]

Substitute the given values into the above formula and solve for d:

[tex]\sf:\implies{ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{[-8 - (-10)]^2 + [1 - (-7)]^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{(2)^2 + (8)^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{4 + 64}}[/tex]

[tex]\sf:\implies\bold{d = \sqrt{68} \approx 8.2462 \: units}[/tex]

Therefore :-

The straght line distance between the two points is 8.2462 units.

[tex]\\[/tex]

Learn more about the distance formula at https://brainly.com/question/25841655

Have a great day! <33

There are 38 tomato plants to a flat. If there are 89 flats, find the total number of tomato plants.

Answers

Answer:

3,382 tomato plants

Step-by-step explanation:

the total number of tomato plants =

89×38 = 3,382 tomato plants

Tomatoes plants on one flat =38

Tomatoes plants on 89 flats = ?

now

= 38×89

= 3,382

Therefore Tomatoes plants on 89 flats =3,382

1 + 2 + 1 + 1 x 0
this is math in math subject
its not free-points because it needs an answer
THERE IS NOTHING WRONG WITH THE QUESTION
lets see if this works fellas

Answers

0

Step-by-step explanation:

1+2=3+2=5×0=0 that is the answer i think

0

Explanation:
If you multiply something by zero it will be zero. So 5 x 0 = 0

NEED HELP NOW WILL MARK BRANLIEST

Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity (10 points)

Answers

Answer:

50

Step-by-step explanation:

Quantity 3 plus the square root of negative 16 end quantity:

3 + √-16

Quantity 6 minus the square root of negative 64 end quantity:

6 - √-64

Multiply the two above:

(3 + √-16)(6 - √-64) = (3 + 4√-1)(6 - 8√-1) = (3 + 4i)(6 - 8i) = 3*6 - 3*8i + 6*4i - 4i*8i = 18 - 24i + 24i - 32i² = 18 - 32(-1) = 18 + 32 = 50
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