Mr. T's Tea store has two kinds of tea. Tea A costs $9 per pound and Tea B cost $6 per pound. How many pounds of each should be combined to obtain 150 pounds of tea worth $8 per pound? ​

Answers

Answer 1

Answer:

y=447.3 pounds

x= 297.3 pounds

Step-by-step explanation:

Step one:

given data

Tea A costs $9 per pound and

Tea B cost $6 per pound.

let the number of pounds of Tea A be x

and for Tea B be y pounds

The total cost of the mixture = $8 per pound

hence

9x+6y=8---------1

The total weight of the mixture

150 pounds

x+y=150-----------2

Step two:

9x+6y=8---------1

x+y=150---------2

from eqn 2 x=150-y

put x= 150-y in eqn 1

9(150-y)+6y=8---------1

1350-9y+6y=8

1350-8=9y-6y

1342=3y

divide both sides by 3

y= 1342/3

y=447.3 pounds

put y= 447.3 in eqn 2

x+447.3= 150

x= 150-446=7.3

x= -297.3

x= 297.3 pounds


Related Questions

Help! What is the equation of this line? ​

Answers

Step-by-step explanation:

The line is the y-axis, where x = 0.

Equation of the line: x = 0.

HELP!! WHAT ARE THE ANSWERS??!!!​

Answers

Answers:7. D8. C9. D10. D11. C12. B

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

Explanation:

The result of problem 7 is undefined because the matrices are not the same size. Both matrices must have the same number of rows, and they must have the same number of columns. This is so the terms match up when we add them. This applies to question 9 as well because subtraction is a form of addition.

For problem 8, we add the corresponding terms. So for instance, along the top we have -2+(-3) = -5 as the first entry in the top row. So that's why the answer is C for problem 8. Problem 10 and 11 are similar to this. Be careful to distribute the negative through to each term in the second matrix when subtracting matrices.

For problem 12, we multiply the outer 3 by each term inside the matrix. We end up with choice B.


which statement about pentagon's and hexagons are true ​

Answers

Answer:

b

Step-by-step explanation:

Answer:

B and A

is the correct answer

I need it step by step please​

Answers

2y+4x=12

Move 4x to the other side as a negative number

2y=-4x+12

Divide all terms by 2

y=-2x+6

Now, in order for two lines to be perpendicular, their gradients have to multiply obeyed to get -1 (let a be the gradient of the given line and let b be the gradient of the line we're trying to find)

So, we do -2*b=-1

so, b is equal to 1/2

Now, we are given a coordinate so we substitute it in y-y1=m(x-x1)

y-1=1/2(x-8)

Expand brackets

y-1= 1/2x-4

Take -1 to the other side as a positive number

y=1/2x-3

So, the equation of the line is y=1/2x-3


Answer:

1/2x-3

Step-by-step explanation:

First, make the equation 2y+4x=12 into a linear equation(y=mx+b)

2y=-4x+12

y=-2x+6

From this, you know the slope is -2.

The perpendicular of any slope is going to be the negative inverse.

negative inverse: a/b-->-b/a

so basically flip it and make it negative(make it positive if the original is negative).

So, for -2 it would be 1/2

Now right the equation for the perpendicular line.

y=1/2x+b

b is the y intercept, and since you want to make the line go through (8,1) you have to change the 6 in the original equation.

To do this replace x and y with 8 and 1

1=1/2(8)+b

1=4+b

b=-3

So you plug that into the equation

y=1/2x-3

whats is this bruh ​

Answers

Answer:

A. (f - g)(x) = -7x - 3

General Formulas and Concepts:

Algebra I

Composite FunctionsCombining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                    (f - g)(x) = -3x - 5 - (4x - 2)Distribute -1:                 (f - g)(x) = -3x - 5 - 4x + 2Combine like terms:    (f - g)(x) = -7x - 3

Answer:

A. (f - g)(x) = -7x - 3

General Formulas and Concepts:

Algebra I

Composite Functions

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                    (f - g)(x) = -3x - 5 - (4x - 2)

Distribute -1:                 (f - g)(x) = -3x - 5 - 4x + 2

Combine like terms:    (f - g)(x) = -7x - 3

ryan was paid up front to babysit her neighbors children for 6 days how much would she earn for just one day.

Answers

What do you mean the question is incomplete

Will mark as brainiest

By rounding each number to 1 significant figure, estimate the answer to 39x52/ 3.8x4.9

Answers

Answer:

100

Step-by-step explanation:

Round off each number to 1 significant figure first.

(39×52)/(3.8×4.9) = (40×50)/(4×5)

Evaluate numbers in brackets.

(40×50)/(4×5) = 2000/20

Evaluate.

2000/20 = 100

The value of the expression will be equal to 100.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Round off each number to 1 significant figure first.

(39×52)/(3.8×4.9) = (40×50)/(4×5)

Evaluate numbers in brackets.

(40×50)/(4×5) = 2000/20

(40×50)/(4×5)  = 2000/20 = 100

Therefore, the value of the expression will be equal to 100.

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How many groups of 12 day are in 1 week? Draw a tape diagram to show the relationship
between the quantities and to answer the question.

Answers

About 60 because weeks because 12 days go in equally
60 weeks because 12 days is equal to that

Please help due in 10 minutes

Answers

Answer:

it is 8x+36 mgmgkgkgkgkfkf sorry about that lol it needs to be 20 words long but yea

Step-by-step explanation:

yeah the answer is c 8x+36

In ΔCAB, if the measure of segment AB is 8 units and the measure of segment segment AC is 5 units, which of the following could be the measure of segment segment CB?

triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED
a-12 units
b-13 units
c-14 units
d-15 units

Answers

Answer:

a-12 units

Step-by-step explanation:

Answering the first part of the question. It seems the second paragraph is of different question.

Use the triangle inequality theorem which states that any side of the triangle must be shorter than the sum of the other sides.

We have sum of given sides:

8 + 5 = 13 units

The remaining side must be less than 13 units, which is a- 12 units, all the other options are greater than 13 units

Answer:

Its not 14 its 12

Step-by-step explanation:

I got it right on the test

hey....... hope yall doing good im not plz help

Answers

Answer:

SamJennaMarcusJoseph

I hope this makes you feel good :D

Tysm trystatroxtle278 for helping me notice my mistake!

Answer:

A

Step-by-step explanation:

Write the fraction 4/7 as an equivalent fraction with the given denominator 28 .

Answers

Answer:

16/28

Step-by-step explanation:

Multiply both the denomator and numerator by 4

16/28 is the answer!!

Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function of x?

Answers

There are x-values which are paired with multiple y-values.

A shop sells shakes for $2 and doublescoop cones for $3. One day they sold 8 more shakes than scoops, and made $156. How many shakes and scoops did they sell?

Answers

Answer:

x = 36 and y = 28

Step-by-step explanation:

Let she sells x shakes and y doublescoop cones

One day they sold 8 more shakes than scoops, and made $156.

ATQ,

2x+3y = 156 ..(1)

Also,

x = y+8 ..(2)

Put the value of x from (1) to equation (2)

2(y+8)+3y = 156

2y+16+3y = 156

5y = 156 - 16

5y = 140

y = 28

Put the value of y in equation (2)

x = 28+8

x = 36

Hence, they will sell 36 shakes and 28 doublescoop cones.

PLS HELP

(the second page has the options)

Answers

The 3rd answer because -3 is the smallest y intercept
The answer is C , the person above is correct!!

-2(x + 6) = 5x - 10

Answers

The Answer: x = -2/7

Answer: x = 2/7 or 0.29

Step-by-step explanation:

- 2x - 12 = 5x - 10

- 2x - 5x = 12 - 10

- 7x = 2

x = 2/7 or x = 0.29

The decimal place is rounded up.

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 5\le x \le 75≤x≤7.

Answers

Answer:

[tex]Average\ Rate = 48[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over [tex]5\le x \le 7[/tex]

Average rate of change is calculated using:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a \le x\le b[/tex]

In this case:

[tex]a = 5;\ \ \ b = 7[/tex]

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{7 - 5}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{2}[/tex]

From the table:

[tex]f(7) = 108[/tex]

[tex]f(5) = 12[/tex]

The expression becomes

[tex]Average\ Rate = \frac{108 - 12}{2}[/tex]

[tex]Average\ Rate = \frac{96}{2}[/tex]

[tex]Average\ Rate = 48[/tex]

helpigiverialiestifyouhelpmeok

Answers

6.5 I think.... if I’m wrong sorry lol

A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24, 000(1.063)^w


Matthew claims that the population of ants is growing at a rate of 0.9% per day. Explain why Matthew’s claim is too high of a rate.

Answers

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

8x+10=12x-18 answer plz and mesure ment of angles

Answers

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

8x+10=12x−18

Step 1: Subtract 12x from both sides.

8x+10−12x=12x−18−12x

−4x+10=−18

Step 2: Subtract 10 from both sides.

−4x+10−10=−18−10

−4x=−28

Step 3: Divide both sides by -4.

-4x/-4 = -28/-4

answer: x=7

Answer:

X= 7

Step-by-step explanation:

8x+10 = 12x-18

10= 4x-18

28 = 4x

7 = x

A patient requires an IV of D5W, a 5% solution of dextrose (sugar) in water. To the nearest milliliter, how much D20W, a 20% solution of dextrose in water, must be added to 100 milliliters of distilled water to produce a D5W solution? Please show all work.

Answers

Answer:

  [tex]A=300ml[/tex]

Step-by-step explanation:

From the question we are told that

5% solution of dextrose sugar in water

20% solution of dextrose in

100 milliliters of distilled water water

Generally in mathematically solving we call A the amount of D20W added

Since 20% of dextrose is needed

       [tex]20 \%*100=20milliter[/tex]

Total quantity after addition (100+x)

for DW5% total solution is

          [tex]5\% (100+A)= \frac{5}{100}(100+A)[/tex]

          [tex]5\% (100+A) =5+0.05A[/tex]

Mathematically

           [tex]5+0.05A =20[/tex]

           [tex]5+0.05A =20-5[/tex]

           [tex]A=\frac{15}{0.05}[/tex]

           [tex]A=300ml[/tex]

Therefore the required quantity [tex]A=300ml[/tex]

Will give brainiest! Please look at pic and answer.

Answers

Answer:

i do think its 15

Step-bep explanation:

put the 25 in halph and that how its 15

Yeah I also think it’s 15

find the value of x that makes the equation true 12/x = 8/6

Answers

Answer:

x=9

Step-by-step explanation:

1. [tex]\frac{12}{x}[/tex]=[tex]\frac{4}{3}[/tex]

2. 12=[tex]\frac{4}{3}x[/tex]

3. 12=[tex]\frac{4x}{3}[/tex]

4. 12x3=4x

5. 36=4x

6. [tex]\frac{36}{4} =x[/tex]

7. 9=x

8. x=9

The value of x that makes the equation true 12/x = 8/6 is 9

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find the value of x that makes the equation true 12/x = 8/6

The given equation is 12/x=8/6

Twelve divided by x equal to eight by six

Apply cross multiplication

12(6)=8x

72=8x

Divide both sides by 8

x=9

Hence, the value of x that makes the equation true 12/x = 8/6 is 9

To learn more on Equation:

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5.
The cross-section of a triangular prism is a right-angled isosceles triangle with one of the
equal side 6cm.If the length of the prism is 82 cm, calculate the total surface area and
volume of the prism.
which is wailable from your science practical
ria​

Answers

Answer:

Part A

The total surface area of the triangular prism is approximately 1715.793 cm³

Part B

The volume of the triangular prism is 1,476 cm³

Step-by-step explanation:

Part A

The given parameters are;

The shape of the cross-section of triangular prism = Right-angled isosceles triangle

The length of one the of the equal side = 6 cm

The length of the prism = 82 cm

Therefore, the height of the triangular cross section of the prism = 6 × sin(45°) = 3·√2 cm

The base length of the cross section, l = √(6² + 6²) = √72 = 6·√2 cm

The area of the triangular cross section of the triangular prism = 1/2 × Base × Height

∴ The area of the triangular cross section of the triangular prism = 1/2 × 6·√2 cm × 3·√2 cm = 18 cm²

The total surface area of the triangular prism = 6 × 82 × 2 + 82 × 6×√2 + 2 × 18 ≈ 1715.793 cm³

The total surface area of the triangular prism ≈ 1715.793 cm³

Part B

The volume of the triangular prism = The area of the triangular cross section × The length of the triangular prism

∴ The volume of the triangular prism = 18 cm² × 82 cm = 1,476 cm³.

Which of the following is same as 1500*15*5?
a) 1500*10*55
b) 1000+(500*75)
c) (1000*75)+(500*75)
d) (1500*15)+(1500*5)

Answers

Answer:

(c) bro for sure i have done this calculation bro

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
7 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet

Answers

Answer:

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

E D G E N U I T Y

Hope this helped!!! :)

Stay safe and have a wonderful day/afternoon/night!!!!!

Brainliest?!?!

what is the line that passes through (2,4) and (3,8)

Answers

Answer:

2, 4

Step-by-step explanation:

i just look at a graph

Answer:

the axis of symmetry

Step-by-step explanation:

Flvs Algebra 2: Module 4 exam part 1.

Answers

Answer:hi:)

Step-by-step explanation:

The equation y = (x + 2)² + 3 represents the shown parabolic graph. The correct answer is option B.

The vertex of the parabola occurs at the point (-2, 3), which is the point where the parabola reaches its minimum value.

The term (x + 2)² indicates that the parabola is translated horizontally by 2 units to the left from the standard vertex form of a parabola.

The "+3" term indicates that the parabola is translated vertically by 3 units upward.

Hence, the equation y = (x + 2)² + 3 represents the shown parabolic graph.

Thus, the correct answer is option B.

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Mrs. Peabodys classroom was collecting
canned goods for a food drive. Her class set
a goal of collecting 300 cans. At the end of
the food drive, they collected 270 cans. What
percentage of their goal did they meet?

Answers

Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

The cost of a pair of shoes was reduced from $60 to $45 by what percent did the cost of Pair of Shoes decrease

Answers

Answer:
B. 25%
Step-by-step explanation:
25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.
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