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For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

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Answer:

1 hour 56 minutes

Step-by-step explanation:

Given :

Time taken by Lucy = 3 hours 15 minutes = 3.25 hours

Time taken by brother = 4 hours 45 minutes = 4.75 hours

Rate = 1 / time taken

Lucy's rate = 1 / 3.25

Brother's rate = 1 / 4.75

Combined rate = Lucy's rate + brother's rate

Combined rate = 1/3.25 + 1/4.75

Combined rate = 0.5182186

Time taken if they work together = 1/ combined rate

= 1 / 0.5182186

= 1.9296 hours

= 1 hour (0.9296 * 60) minutes

= 1 hour 56 minutes (approximately)

The volume of the stone if, The volume of the water is 110 cm³, and The volume of the water and the stone is 150 cm³, is 40 cm³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The volume of the water = 110 cm³,

The volume of the water and the stone = 150 cm³,

Calculate the volume of the stone as shown below,

The volume of stone = The volume of the water and the stone - The volume of the water

The volume of stone = 150 - 110

The volume of stone = 40

Thus, the volume of the stone is 40 cm³

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Answer:

1000 or more

Step-by-step explanation:

because the motor is is good shape

Answer:

Yes, ratios of blue paint to yellow paint form a proportional relationship

Step-by-step explanation:

In case of the first person:

Number of blue parts = 2

Number of yellow parts \(=3\)

In case of another person:

Number of blue parts \(=4\)

Number of yellow parts \(=6\)

Ratio of blue parts \(=2:4=1:2\)

Ratio of yellow parts \(=3:6=1:2\)

As ration of blue parts is equal to the ratio of yellow parts, ratios of blue paint to yellow paint form a proportional relationship

Answer:

Step-by-step explanation:

\(9\frac{1}{8} = 2\frac{1}{4} +x\)

\(\frac{9*8+1}{8} =\frac{4*2+1}{4} +x\)

\(\frac{73}{8} =\frac{9}{4} +x\)

\(\frac{73}{8} =\frac{9+4*x}{4}\)

do cross multiplication

\(8(4x+9)=4*73\\32x+72=292\\32x=292-72\\x=220/32\\x=6.875\)

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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Answer:

(x,y) = (-1,1)

Step-by-step explanation:

step 1

subsitute the given value of y into the equation

2x+7(x+2)=5

step 2

solve for x

x= -1

step 3

subsitute the value of x in to the second equation

y= -1+2

step 4

solve for y

y=1

step 5

check if there true by putting the value of x and y back in to the equation.

then configure x and y into an ordered pair.

(x,y)=(-1,1)

I hope this helped!

The terms a1, a2 and a3 do not have a common difference, and the value of a1 in the geometric sequence is 10/9

The arithmetic sequence is given as:

a₁, a₂ and a₃

The geometric sequence is given as:

a₄, a₇ and a₁₂

The common ratio of a geometric sequence is:

\(r = \frac{T_2}{T_1}\)

So,we have:

\(\frac{a_7}{a_4} = \frac{a_{12}}{a_7}\)

Cross multiply

\(a_{12} * a_4 = a_7 * a_7\)

Given that a7 = 30, the equation becomes

\(a_{12} * a_4 = 30 * 30\)

Evaluate the product

\(a_{12} * a_4 = 900\)

Rewrite as:

\(a_{4} * a_{12} = 900\)

Express 900 as 10 * 90

\(a_{4} * a_{12} = 10 * 90\)

By comparison, we have:

a₄ = 10 and a₁₂ = 90

This means that the geometric sequence is:

10, 30, 90 ---- it has a common ratio of 3

The nth term of a geometric sequence is:

\(a_n = ar^{n-1}\)

So, we have:

\(a_7 = ar^6\)

\(a_4 = ar^3\)

Substitute values for a7 and 14

\(ar^6 = 30\)

\(ar^4 = 10\)

Divide both equations

\(r^2 = 3\)

Take the cube of both sides

\(r^6 = 27\)

Substitute \(r^6 = 27\) in \(ar^6 = 30\)

\(a * 27 = 30\)

Divide both sides by 27

\(a = \frac{10}{9}\)

Hence, the value of a1 in the geometric sequence is 10/9

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Answer:

It should be 42.4

Answer:

that one

Step-by-step explanation:

Answer: 7x+28=119

x=13

Step-by-step explanation:

Answer:

119= 7x + 28

x=13

Step-by-step explanation:

This problem requires an equation. y= mx+ b, where y is your total, mx is your slope, and b is your y intercept. Your total is 119, your yearly fee is 28 ( which is b since it only happens ones), and 7 is x (since x represents each time) So 119=7x+28. Now to solve this we would subtract 28 from both sides and then divide that number by 7. So 119-28 is 91. 91/7 is 13. He used the racketball court 13 times. You can plug 13 to make sure.

119= 7(13) + 28.

Answer:

5.66 years

Step-by-step explanation:

450 x 1.025^(n) = 450 + 67.50

450 x 1.025^(n) = 517.50

1.025^(n) =(517.50 / 450)

1.025^(n) = 1.15

n = ln(1.15) / ln(1.025)

n = 5.66

Answer:meep

Step-by-step explanation:

meep

Step-by-step explanation:

x=rcosθandy=rsinθ,. 7.7. r2=x2+y2andtanθ=yx. 7.8. These formulas can be used to convert from rectangular to polar or from polar to rectangular coordinates.

Answer:

12 and 1/2 (12.5)

Step-by-step explanation:

Answer:

12 3/6

Step-by-step explanation:

Broken Down :

5 + 7 = 12

1/3 =  2/6

2/6 + 1/6 = 3/6

So, 12 3/6

A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

The function f(x) = -|x| − 3 can be graphed by following these steps:

Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

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Given the equation of the parabola:

To find the vertex of the parabola,

we will substitute with the value (-b/2a) into the function y

so, the coordiantes of the vertex :

x = -3

y = -21

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

Answer:

The rate increases at 398mi/h

Step-by-step explanation:

Given

\(\frac{dx}{dt} = 460mi/h\) --- rate when \(y = 2\) --- distance

The given parameters is represented with the attached figure

Using Pythagoras theorem [take the attached image as a point of reference]

\(y^2 = x^2 + 1^2\)

\(y^2 = x^2 + 1\)

Differentiate with respect to time (t):

\(2y \frac{dy}{dt} = 2x \frac{dx}{dt}\)

Divide both sides by 2

\(y \frac{dy}{dt} = x \frac{dx}{dt}\) --- (1)

When y = 2:

\(y^2 = x^2 + 1^2\) --- Pythagoras Theorem

\(2^2 = x^2 + 1\)

\(4 = x^2 + 1\)

Collect like terms

\(x^2 = 4 -1\)

\(x^2 = 3\)

Solve for x

\(x = \sqrt 3\)

So:

\(y \frac{dy}{dt} = x \frac{dx}{dt}\)

Substitute: \(x = \sqrt 3\), \(\frac{dx}{dt} = 460mi/h\) and \(y = 2\)

\(2 * \frac{dy}{dt} = \sqrt 3 * 460\)

\(2 * \frac{dy}{dt} = 460\sqrt 3\)

Divide by 2

\(\frac{dy}{dt} = 230\sqrt 3\)

\(\frac{dy}{dt} = 230*1.7321\)

\(\frac{dy}{dt} = 398.383\)

\(\frac{dy}{dt} \approx 398\)

The amount of the mortgage is

89,400 - 20% of 89400

Answer:

Step-by-step explanation:

3n + 16 = 7n

3n - 7n = -16

-4n = -16

n = -16 : (-4)

n = 4

---------------- check

3 * 4 + 16 = 7 * 4

12 + 16 = 28

28 = 28

the answer is good

Answer:

W

Step-by-step explanation:

A function must have the same output for every input, so if a table were to have -2 twice it must have the same output for that (like -2,3 and then again -2,3 if it were to repeat) I'm not the best explainer but for each input there must be exactly one output.

The number will be 1500

Given in the question:

A number is divided by 5, the result is 50 less than

and,  if the number had been divided by $6$.

To find the number.

Now, According to the question:

Let the number be x

x is divided by 5 = x/5

also, The number is divided by 6 = x/6

Here, The expression will be:

x/5 -  50 = x/6

30(x/5 - 50) = 30(x/6)

6x - 1500 = 5x

1500 = x

Hence, The number will be 1500 .

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The inequality graphed on the number line can be written as:

-3 ≤ x < 2

Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3

A closed circle means that x = -3 is a solution.

And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.

Then the inequality thati is shown in the number line is written as:

-3 ≤ x < 2

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The value of the standardized test statistic is D. 1.77.

A standardized test statistic is a measure of the difference between a sample statistic and the population parameter it estimates, expressed in units of the standard deviation.

The value of the standardized test statistic can be calculated using the formula:

(x - μ) / (s / √n)

where x is the sample mean, μ is the population mean, s is the population standard deviation, and n is the sample size.

Given the information provided in the question, the standardized test statistic is:

(20.3 - 20) / (1.2 / √50) = 1.7678

Rounding to two decimal places, the answer is D. 1.77.

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Answer:

slope / m = 3/2 & y-intercept =  (0,0)

Step-by-step explanation:

y=mx+b is the formula

m in this equation is 3/2 (y=3/2x)

there's no b because there's no constant so it's (0,0)

Slope:

3/2

Explanation:

The given equation is in slope intercept form: y = mx + b, where:

m = slope

b = y intercept

Similarly, in the equation y = 3/2x, the slope is 3/2 and the y-intercept is 0.

Hence, this is the answer.

Answer:-9 to the fourth power is -6561

Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.

Please give brainliest if right.

Answer:

-6561

Step-by-step explanation:

\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)

Answer:

Hi well the answer to the question itself is -1200 but I'm not sure abt the "product of two integers" part but this is a great start what I would suggest is try to find out what it is your teacher wants then using the -1200 to get answer - hope I helped