A grocer has two kinds of tea: one selling for 80 cents a pound and the other selling for 60 cents a pound. How many pounds of each kind must be used to make 50 pounds worth 74 cents a pound?

Answers

Answer 1

Answer:

35 pounds of tea for 80 cents.

Step-by-step explanation:

Equation::

value + value = value

80x + 60(50-x) = 74*50  

80x + 60*50 - 60x = 74*50  

20x = 14*50

x = 35 lbs (amt. of 80 cent tea to use)

50-x = 15 lbs (amt. of 60 cent tean to use)

Answer 2

Answer:

35 pounds of tea for 80 cents.

15 pounds of tea for 60 cents.

Step-by-step explanation:

x · 80 + y · 60 = 50 · 74

x + y = 50 · (- 60)

80x + 60y= 50 · 74

- 60x - 60y = -50 · 60

20x = 50 · (74-60) = 50 · 14

x = 50 · 14/20

35 pounds of tea for 80 cents.

y = 50 - 35 =

15 pounds of tea for 60 cents.


Related Questions

I need help with this equation -6х- 7 = 4x - 2

Answers

Answer:

X= -2

Step-by-step explanation:

Answer:

yes it is X= -2

Find x . Giving Brainly!

Answers

Answer:

x should equal 1

Step-by-step explanation:

The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m​, where m is the number of months after the number of visitors was measured. Evaluate the expression for m=-2. What does the value of the expression represent in the​ situation?

Answers

Answer:

[tex]900\times 3^m[/tex] = 100

Step-by-step explanation:

The number of visitors is modeled by the expression [tex]900\times 3^m[/tex]

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

[tex]900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100[/tex]

At m = -2, the value of the above expression is equal to 100.

Trapezoid ABCD has vertices A(-5,9) B(-2,9) C(-8,0) D(1,0) after a translation of 2 units right and 3 units down followed by a dilation with a scale factor of 2/3. What are the vertices of trapezoid RSTU

Answers

Answer:

(-2,4), (0,4), (-4,-2) and (2,-2)

Step-by-step explanation:

Given

[tex]A = (-5,9)[/tex]

[tex]B = (-2,9)[/tex]

[tex]C = (-8,0)[/tex]

[tex]D = (1,0)[/tex]

[tex]Translation: 2\ units\ right\ \& \ 3\ units\ down[/tex]

[tex]Dilation: \frac{2}{3}[/tex]

Required

Determine the vertices of the image RSTU

When a coordinate (x,y) is translates b units right, the new coordinate is: (x + b, y)

So, translation 2 units right gives:

[tex]A = (-5,9)[/tex] ---> [tex]A' = (-5 + 2,9) = (-3,9)[/tex]

[tex]B = (-2,9)[/tex] ---> [tex]B' = (-2 + 2,9) = (0,9)[/tex]

[tex]C = (-8,0)[/tex] ---> [tex]C' = (-8 + 2,0) = (-6,0)[/tex]

[tex]D = (1,0)[/tex] --- > [tex]D' = (1 + 2,0) = (3,0)[/tex]

When a coordinate (x,y) is translates b units down, the new coordinate is: (x, y-b)

So, translation 3 units down gives:

[tex]A' = (-3,9)[/tex] ---> [tex]A" =(-3,9-3) =(-3,6)[/tex]

[tex]B' = (0,9)[/tex] --> [tex]B" =(0,9-3) =(0,6)[/tex]

[tex]C' = (-6,0)[/tex] --> [tex]C" =(-6,0-3) = (-6,-3)[/tex]

[tex]D' = (3,0)[/tex]--> [tex]D"=(3,0-3) = (3,-3)[/tex]

Lastly, dilation of 2/3 gives:

[tex]New = Old * \frac{2}{3}[/tex]

[tex]R = (-3,6) * \frac{2}{3} = (-2,4)[/tex]

[tex]S = (0,6) * \frac{2}{3} = (0,4)[/tex]

[tex]T = (-6,-3) * \frac{2}{3} = (-4,-2)[/tex]

[tex]U = (3,-3) * \frac{2}{3} = (2,-2)[/tex]

Hence, the coordinates of RSTU are: (-2,4), (0,4), (-4,-2) and (2,-2)

Please help.
Is algebra.

Answers

Answer: D
Explanation because I’m to dum to get a answer right by my self so I got it from an app .

factorise fully 12x - 8​

Answers

Answer:

4(3x-2)

Step-by-step explanation:

Have a great day :)

4(3x + 2)
the common donominator is 4

g = f에서 5 = g는 무엇입니까?

Answers

Answer:

임의의 변수로 풀기

g = 5

f = 5

Step-by-step explanation:

english: Solve in terms of the arbitrary variable

g=5

f=5

한국에서이 질문을 한 선생님은 누구입니까?

At Crescent High School, 96 students plan on going to an in-state college and 56 students plan on going to an out-of-state college. What is the ratio of students planning on going to an in-state college to students planning on going to an out-of-state college

Answers

Answer:

7/12

Step-by-step explanation:

Answer:

12:7

Step-by-step explanation:

You will get this first:

96:56

Now, divide both sides by 2

48:28

Divide by 2 again

24:14

Divide by 2

12:7

Jackie's commute is 15 minutes longer than Laura's. If Laura drives 12 minutes for every 17 minutes Jackie drives what are both Jackie's and Laura's drives?

Answers

Answer:

Laura drives for [tex]36\ \text{minutes}[/tex] while Jackie drives for [tex]51\ \text{minutes}[/tex]

Step-by-step explanation:

Laura's commute is [tex]x\ \text{minutes}[/tex]

Jackie's commute is

[tex]x+15[/tex]

Laura drives 12 minutes for every 17 minutes Jackie drives so

For every minutes Laura drives Jackie drives [tex]\dfrac{17}{12}\ \text{minutes}[/tex]

So,

[tex]\dfrac{17}{12}=\dfrac{x+15}{x}\\\Rightarrow 17x=12x+180\\\Rightarrow 5x=180\\\Rightarrow x=\dfrac{180}{5}\\\Rightarrow x=36\ \text{minutes}[/tex]

Hence, Laura drives for [tex]36\ \text{minutes}[/tex] while Jackie drives for [tex]36+15=51\ \text{minutes}[/tex].

What type of pattern do exponential functions have

Answers

Graphical

Step-by-step explanation:

They have graphical pattern

A = 27 + 0.3 C

The maximum amount of potassium chloride, AA, in grams (gg), which can be dissolved in 100g of water at CC degrees Celsius is given by the equation above. Which of the following is the best interpretation of 0.30 as shown in the equation above?

Group of answer choices

Approximately 0.3 grams of potassium chloride can dissolve in nearly frozen water.

The maximum amount of potassium chloride that can dissolve in water at all temperatures is 0.3 grams.

The amount of potassium chloride that can dissolve in water increases by 1 gram for an increase of 0.3 degrees Celsius in temperature.

The amount of potassium chloride that can dissolve in water increases by 0.3 grams for every 1 degree Celsius increase in temperature.

Answers

Answer:

Step-by-step explanation:

Divide 27 by 0.3 to get your answer

Answer:

27.30 because your basically adding 30 as in cents.

Step-by-step explanation:

If 3 centimeters is equal to 30 millimeters, how many centimeters are in 140 millimeters?

Answers

Answer:

14

Step-by-step explanation:

divide by 10

Answer:

14

Step-by-step explanation:

You have the proportion:

3 cm: 30 millimeters

divide both sides by 3

1 cm: 10 millimeters

Then, multiply both sides by 14

14cm: 140 millimeters

So 14 centimeters are in 140 millimeters

6. If g(x) = (x + 5)2 - 12, what is the value of g(-7)?

Answers

Answer:

g(-7) = -16

Step-by-step explanation:

g(-7) = (-7 + 5)2 - 12

= -2(2) - 12

= -4 - 12

= -16

PLEASE HELP ME !!!!

Answers

Answer:

y = 17/2

Step-by-step explanation:

7y − 4 = 9y + 13 − 4y

Simplify both sides of the equation.

7y - 4 = 5y + 13

Subtract 5y from both sides.

2y - 4 = 13

Add 4 to both sides.

2y = 17

Divide both sides by 2.

y = 17/2

I hope this helps! Feel free to ask any questions!

39.54 divided by 3 please.

Answers

Answer: 13.18

Step-by-step explanation:

Answer: 13.18

Step-by-step explanation: But if rounded to the nearest tenth its 13.2

hope that helped

One angle of a triangle measures 94°. The other two angles are congruent.

Enter and solve an equation to find the measure x of the congruent angles.

An equation is ______ = 180.

The congruent angles each measure _____
°.

Answers

Answer:

43 is the answer

Step-by-step explanation:

i just added till i got it

How do you solve the equation: 7x = 26
Divide by 7 on both sides
Divide by 26 on both sides
Multiply by 7 on both sides
Multiply by 26 on both sides

Answers

Answer:

Divide by 7 on both sides

Step-by-step explanation:

7x is a coefficient so you divide by 7

A set of 3 consecutive odd intergers sum to 249 what is the greatest interger

Answers

Answer:

85

Step-by-step explanation:

What id id was divide 249 by three, then add to two the number and subract two, then you could add the odd numbers you got each time to get 249.

249/3=83

83+2+85

83-2=81

81+83+85=249

The histogram shows the number of cell phone calls received by Medera, a middle school student, on 10 a.m. to 10 p.m. Cell Phone Calls 12 10 Numberof calls 6 4 2 O 10 a.m. - 11:59 a.m. 12 p.m.- 1:59 p.m. 2 p.m. - 4 p.m. - 3:59 p.m. 5:59 p.m. Time of Day 6 p.m.- 7:59 p.m. 8p.m. - 9:59 p.m. Which statement most reasonably explains the hours when zero calls were received​

Answers

Answer:

A. Medera turned the phone off while playing in the soccer game

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Hope this helps :)

A rectangle has a perimeter of 64.
Let x equal the width of the rectangle.
Let y equal the area of the rectangle.

Which equation can be used to find the area of the rectangle?
A. y = x² - 64x
B. y = -x² + 64x
C. y = x² - 32x
D. y = -x²+ 32x​

Answers

Answer:

You can use option (D) to find the area of rectangle

(D) y = - x²+32x

Step-by-step explanation:

If you can substitute your values you can find your answer

THANK YOU....

PLZZ GIVE ME A BRAINLIEST TAG

The expression for the given rectangle with width x and area y is[tex]y = -x^{2} +32[/tex]

it is given that

area of the rectangle = y

width of the rectangle = x

so the length of the rectangle will be = area/width = [tex]\frac{y}{x}[/tex]

perimeter = 64

What is the perimeter of a rectangle?

Perimeter is the sum of all four sides of the rectangle.

we can say that,

2(length + breadth) = 64

[tex]2( \frac{y}{x} + x)=64\\\\[/tex]

[tex]\frac{y}{x} + x= 32[/tex]

[tex]\frac{y + x^{2} }{x} = 32[/tex]

[tex]y+x^{2} = 32x[/tex]

[tex]y = -x^{2} +32[/tex]

therefore, the expression for the area of the rectangle,

[tex]y = -x^{2} +32[/tex]

to get more about rectangles refer to the link,

https://brainly.com/question/25292087

Need Help Due Tomorrow

MUST SHOW WORK!!!
DONT BOTHER ANSWERING IF YOU CANT SHOW WORK

Answers

Answer:

B!

Step-by-step explanation:

we know that (x-5) and (y-6) must add up to 129 because 180-51 is 129

now let's plug in the values to see

51-5= 66 63-6 = 57

57+66 is 123, not this one, let's repeat the same step

77-5 is 72, 63-6 is 57, these added is 129

HELP DUE IN 5 MINS!

Finish the proof.

What is reason 1?


CPCTC


Reflexive Property


Vertical Angles Theorem


SAS Postulate


AAS Postulate


HL Theorem


ASA Postulate


SSS Postulate


Definition of Midpoint


Given


Definition of Perpendicular


Definition of Congruence

Answers

Answer:

The reasons:

1. Given2. Reflexive Property3.  AAS Postulate4. CPCTC

3/4x + 2x - 3= -1/4 + 21

Answers

x = 95/11 lmk if it’s wrong.

plz explain how to do this ​

Answers

Answer:

-40[tex]\leq[/tex]x

Step-by-step explanation:

Solve the inequality using the properties of equality.

First, add 60 to both sides

-440[tex]\leq[/tex]11x

Then, divide both sides by 11

-40[tex]\leq[/tex]x

So, -40 must be less than or equal to x.

The answer to 11x - 60 has to be more than or equal to -500.

That means x can be many numbers

Bobbie Jean Byrd deposited $900 in a savings plan with her credit union. The credit union savings plan pays 6% interest compounded quarterly. If she makes no other deposits or withdrawals, how much interest will her money earn in 2 1/2 years?​

Answers

Answer:

30/3 = 10

900 x 0.06 = 54

10 x 54 = 540

900 + 540 = 1440

answer prob: 1440

Based on the amount that Bobbie Byrd deposited and the interest rate as well as the period of compounding, her interest earned in 2.5 years is $144.49.

The amount is compounded quarterly so we need to convert the interest rate and the period to a quarterly basis:

6% = 6/4 quarters = 1.5%

Period = 2.5 x 4 quarters = 10 quarters

The amount after 2.5 years is:

= Amount x (1 + rate) ^ number of periods

= 900 x ( 1 + 1.5%)¹⁰

= $1,044.49

Interest is:

= Total amount after 2.5 years - Amount deposited

= 1,044.49 - 900

= $144.49

Find out more at https://brainly.com/question/24119152.

Tyrel measured the average monthly temperature in degrees Fahrenheit for several months. If February is set to equal to 2 and June is equal to 6, what function best models these data from February to June?

Answers

Answer:

F(x)=13x-12

Step-by-step explanation:

Function which best models the data measure by Tyrel from February to June for the average monthly temperature is,

[tex]f(x)=11x+1[/tex]

How to model the data from graph?

Graph is a way to represent the data of the two or more variable. The linear or quadratic function, can be model with the data given in graph.

Linear model- The highest power of unknown variable in linear model is 1.To construct the linear model with the values given in the graph, the slope of the two lines should be equal.Quadratic model- The highest power of unknown variable in linear model is 2. To construct the quadratic model, the standard form of quadratic equation must satisfy for all the of the data table.

Here, in the problem, Tyrel measured the average monthly temperature in degrees Fahrenheit for several months.

February is set to equal to 2 and June is equal to 6. The image for the average monthly temperature for the given problem is attached below.

Thus, the value of march should be, 3 and temperature of is near to 40 F⁰.This input and output value, can obtaind by the 2 nd option which is,

[tex]f(x)=11x+1[/tex]

Thus, the function which best models the data measure by Tyrel from February to June for the average monthly temperature is,

[tex]f(x)=11x+1[/tex]

Learn more about the model a graph here;

https://brainly.com/question/25020119

What is th square root of 45, trying to figure it out on my calculstor but I cant find the sqaure root sign

Answers

the answer is 6.7082039325

6th grade math help me pleaseeee

Answers

Answer:

87

Step-by-step explanation:

Here g is equalling -1, so substitute -1 for g in the equation. The equation is now 59 - 28(-1) = blank. Multiply 28 by -1 to get -28.

The equation is now 59 - (-28). There are two negatives in a row, so that becomes a plus sign. That makes it 59 + 28. Simply add to get 87 as your answer.

Write the equation of the parabola in vertex form.

Vertex:(4,4)
Point :(2,-8)

Answers

Answer:

Step-by-step explanation:

y = a(x-4)^2 + 4

Plug in (2,-8) and solve for a:

-8 = a(2-4)^2 + 4

a = -3

y = -3(x-4)^2 + 4

can someone help i’ll mark brilliant

Answers

Answer: 1.32 x 10^4

Step-by-step explanation: