A store sells regular coffee for $5 a pound and gourmet coffee for $8 a pound. To get rid of 30 pounds of the gourmet coffee, a shopkeeper makes a blend to put on sale for $6 a pound. How many pounds of regular coffee should he use?

Answers

Answer 1

Answer:

60 pound

Step-by-step explanation:

Calculation for How many pounds of regular coffee should he use

Let pounds of regular coffee be x

Let value of regular coffee be 5x

Let cost of gourmet coffee be 8

Let value of gourmet coffee be 8*30

Let pounds of mixture be 30+x

Let value of mixture be 6(30+x)

Equation:

5x+(8*30)=6(30+x)

5x+240=6(30+x)

Now Let Solve for x:

5x+240=180+6x

240-180=6x-5x

60=1x

x=60/1

x=60

Therefore, he should use $60 pounds of regular coffee


Related Questions

Plz help and thank you

Answers

Answer:

60%

Also known as 330 students

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

Work shown below!

Step-by-step explanation:

If 40% of students take the bus, then 60% of 550 students don't take the bus;

[tex]\frac{60}{100}*\frac{550}{1} =6*55=330[/tex]

330 students do not take the bus

Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?

6
4
3

Answers

Answer:

3

Step-by-step explanation:

x^2=7/3x+2

3^2=7/3(3)+2

9=7+2

9=9

3 is the answer have a great day!!

100 subtracted by 20 equals

Answers

Answer:

80 :)

Step-by-step explanation:

I need help on this,can anyone help me?

Answers

Answer:

no nobody can help you

Step-by-step explanation:

What is the quotient of 3 3/4 ÷2/5

Answers

Here you go!! Hope this helps

Answer:

9.375

Step-by-step explanation:

Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays for gallons of gasoline. He notes his odometer reading is miles. How many miles per gallon did he get?

Answers

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

(23706.3 - 23568.7) / 12.6

= 10.920634

= 10.9 miles per gallon

In right triangle ABC with right angle B, the sin 48° is equal to the cosine of what angle measure?

Answers:

48°

42°

90°

52°

Answers

Answer:

42

Step-by-step explanation:

from the trigonometric identity

[tex]sin \beta =cos(90 -\beta )[/tex]

if [tex]\beta[/tex]=48 hence

[tex]90-48=42[/tex]

hence

[tex]sin48=cos42[/tex]

-3- 2 1/3 please help me out

Answers

Answer:-2/3

-3-2 1/3

which is also

-3 -7/3

which is also

-9/3-7/3

which is

-2/3

The difference is -5 1/3

1/4 es un decimal exacto​

Answers

Answer:

0.25

Step-by-step explanation:

Decimal exacto

La parte decimal de un número decimal exacto está compuesta por una cantidad finita de términos.

Ejemplos:

15.125

0.1

3.0000001

Si en sus factores sólo aparecen 2, 5 o ambos, la fracción es decimal exacta.

-5+6/3(2)+9^2 simplify this equation

Answers

-5+6/3(2)+9 is the answer

Answer:

80

Step-by-step explanation:

-5+6/3(2)+9^2

−5+(2)(2)+92

−5+4+92

−1+92

−1+81

= 80

Danny paid $17.22 for 6 gallons of gasoline. How much did Danny pay for one gallon of gas?

Answers

Answer:

Danny paid 2.87$ per gallon of gasoline

Step-by-step explanation: 17.22 divided by 6

write the point slope form of the line that passes through -8, 2 and is perpendicular to the line with a slope of negative 8​

Answers

Answer:

y = -1/8x + 1

Step-by-step explanation:

Line perpendicular to 8 is -1/8

If the line were to start at the origin, then y- intercept would be 0, and it would pass through the point (-8, 1) To pass through point (-8, 2), add 1 to y in the first example.

Find the length of BD and EC.
A
D
9
8
B
с
BD =
EC =

Answers

i think BD is 16 and EC is 9. hope this helps

Find the value of r.

Answers

Answer:

r=0

Step-by-step explanation:

the line passes through the origin which means there is no y-intercept

Help plsss 10 points!!!!!! I will give you brianless
10
11
Plsss

Answers

Answer: Quadrant 4

Step-by-step explanation:

quadrant 4 !!! Is the answer

select all equations that are equivalent to 5x+(x+6)+3x

Answers

Whoops! It looks like your question was not part of an academic assignment. Since Brainly is only intended for homework questions, we had to remove it. Please keep the question feed clear of personal questions so other users can get the help they need. Thanks! ߷

Determine the Measure of angle X

Answers

Answer:

[tex]x=325[/tex]°

Step-by-step explanation:

[tex]360-35=325[/tex]

The answer above mine is correct... ^^;

f(x) = x + 2
Find f(-5)

Answers

Answer:

f(-5) = -3

Step-by-step explanation:

f(x) = x + 2

Let x = -5

f(-5) = -5 + 2

      -3

Which of these points is closest to the point (7,1)?

Answers

Answer:

6,7

Step-by-step explanation:

Which shows the best use of the associative and commutative properties to make simplifying 2/5 - 15 + 8 - 1/5 + 3

Answers

Answer:

1/5 - 4

Step-by-step explanation:

First add -15,  8 and 3 to simplify.

And add 2/5 and -1/5

Now you should have 1/5 - 4

Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.

f(x) = x^3 + 2x, [-1,1]

Answers

Answer:

There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.

If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]

[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)

The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.

According to the Mean Value Theorem, the following relationship is fulfilled:

[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)

If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:

[tex]3\cdot c^{2}+2 = 3[/tex]

[tex]3\cdot c^{2} = 1[/tex]

[tex]c = \sqrt{\frac{1}{3} }[/tex]

[tex]c \approx 0.577[/tex]

There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].

Please help! I need your help! If you help you get points. If you get points your smart.

Answers

D: She needs to keep going to find more digits.

A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?

Answers

(30m/s divided by 2)x 10800 ( convert 3hr to seconds by x with 60squared)
= 162000 m ( convert m to km by dividing with 1000)
= 162 km


Plz mark as brainleast if this answers helped ya.

PLEASE HELP ASAP

Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept

Answers

Answer:

10) m: 6

    b: 5

    y= 6x +5

12)  m: -2

     b: -1

     y= -2x-1

14)  m: 1

     b: 0

     y= x

Step-by-step explanation:

The slope-intercept form is the form y=mx+b

m is the slope. You can find it by finding two points that the line intersects, and counting the number of units between them.

Remember the slope is "rise over run", so, the difference in y over the difference in x.

b is the y-intercept. You can find it by looking at where the line crosses the y-axis.

Hope this helps you out!

An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 34 m per year at a time when the region is 450 m wide. How fast is the area changing at that point in time?

Answers

Answer:

The area is changing at the point of  [tex]\mathbf{61200 m^2/year}[/tex]

Step-by-step explanation:

From the given information:

Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w

where;

L = length and w = width of the rectangle

Suppose the Length L is twice the width w

Then L = 2w --- (1)

From The area of a rectangle

A = L  × w

A = 2w  × w

A = 2w²

Taking the above differentiating with respect to time

[tex]\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)[/tex]

At the time t

[tex]\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m[/tex]

Replacing the values back into equation 2, we get:

[tex]\dfrac{dA}{dt }= 4 \times 450 \times 34[/tex]

[tex]\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}[/tex]

ax-5a+4x-20

a(x-5)+2(2x-10)

Answers

Answer:

To get from ax-5a+4x-20 to a(x-5)+2(2x-10). You had to of found a common factor.

Another (better) way to simply this would be finding the greatest common factor.

a(x-5)+4(x-5)

(a+4)(x-5)

Allan wanted to become a machine salesperson. He was offered a job that paid him $40,000 a year plus a commission of $300 for every machine he sells. If Allan made &50,800 last year, how many machine did he sell?

Answers

Answer:

36

Step-by-step explanation:

50800-30000=10800/300=36

:)

help me plz i really need help

Answers

Answer:

I think the answer is C it may not be right but I think it is

If 1 inch represents 10 miles on a map then how many inches will represent 120 miles ?

Answers

Answer:

12 inches

Step-by-step explanation:

We can write this as a proportion:

inches/miles = inches/miles

1/10 = x/120

Solving for x, we get 12 inches.

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 28 N acts on a certain
object, the acceleration of the object is 7 m/s². If the acceleration of the object becomes 3 m/s2, what is the force?

Answers

Answer:

Step-by-step explanation:

F=ma

28=7m

m=28/7=4

F=4a

when a=3 m/s²

F=4×3=12 N

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