A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $8.30 per pound with a Costa Rican coffee blend that normally sells for $14.60 per pound to create 100 pounds of a coffee that can sell for $14.41 per pound. How many pounds of each kind of coffee should they mix? Answer: pounds of the Rift Valley Blend pounds of the Costa Rican Blend. Round your answers to the nearest whole number of pounds.
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Related Questions
Which linear function has the steepest slope?
Answers
If you are paid $232.37 for 23 1 over 2 hours of work, what amount should you be paid for 31 hours of work at this same rate of pay?You should be paid $___ for 31 hours of work.
Answers
Given
Paid $232.37 for 23 1/2 hours.
Find
Amount paid for 31 hours
Explanation
Amount paid for 23 1/2 hours = $232.37
so , amount for 1 hour
\(\begin{gathered} 232.37\div23\frac{1}{2} \\ \\ 232.37\div\frac{47}{2} \\ \\ \frac{232.37\times2}{47} \\ \\ 9.88808511 \end{gathered}\)so , for 31 hours =
\(\begin{gathered} 9.88808511\times31 \\ 306.530638 \end{gathered}\)Final Answer
Amount paid for 31 hours = $ 306.5
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 8x^3, y = 0, x = 1; about x = 2
Answer is 24pi/5
I just don't know how to get it.
Answers
Volume of the solid obtained by rotating the region bounded by the given curves about the specified line is \(\frac{24\pi }{5}\)
Now, According to the question:
The shell method formula sums the volume of a cylindrical shell over the radius of the cylinder, and the volume of a cylinder is given by V=2πrh V = 2 π r h where r is the radius and h is the height.
Take a vertical cross section of the region. The width of the cross section is dx, and the height is \(8x^3.\)
Rotate the cross section about the line x = 2. The height of the shell is \(8x^3.\) the radius is 2 - x, and the thickness is dx.
Volume of shell = 2π(2-x)(\(8x^3\))dx = 2π(\(16x^3 - 8x^4\))dx
Volume of solid = \(2 \pi \int\limits^1_0 [16x3 - 8x4]dx\)
\(= 2\pi (4x^4 - (8/5)x^5)^1_0\)
= 24π/5
Hence, Volume of the solid obtained by rotating the region bounded by the given curves about the specified line is \(\frac{24\pi }{5}\).
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Lesson 1: What Is a Function?
A. Distinguish between relations and functions.
B. Calculate domain and range of functions algebraically.
C. Identify domain and range of functions graphically
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una carga de 10 toneladas se distribuyo en partes iguales entre 6 camiones cuantas lleva cada camion
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If a load of 10 tons was distributed equally among 6 trucks, each truck would carry 1.6667 tons.
What is the unit rate?In Mathematics, the unit rate is sometimes referred to as unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.
How to determine the unit rate?In order to determine the unit rate, we would use the following mathematical equation (formula);
Unit rate = Number of ounces/Number of trucks
Unit rate = 10/6
Unit rate = 1.6667 tons.
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Complete Question:
A load of 10 tons was distributed equally among 6 trucks, how many does each truck carry?
Help! Best answer = Braniest
Answers
Answer:
x=20
Step-by-step explanation:
Since supplementary angles =180 degrees, we need to write the equation as follows:
5x-30+x+90=180
Then you need to add like terms:
6x+60=180
Then you need to subtract 60 from both sides (60 and 180)
6x=120
Then divide both sides by 6 to get
x=20
I hope this helps!!
$300 at 2.5% for 16 months
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Answer:
Total: $420 (growth of $120)
Step-by-step explanation:
Multiply $300 by 0.025 (2.5%) which is equal to 7.5. Then multiply that by 16 months which gives you $120 added to your $300.
A camp counselor buys lunch for her campers at a nearby fast food restaurant. On
Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of
$39. On Thursday, she purchased 9 hamburger meals and 2 chicken nugget meals,
for a total of $35.
Which pair of equations could be used to determine the cost of each type of meal?
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Answer:
correct choice is the last one
Step-by-step explanation:
let h = cost of 1 hamburger meal
let c = cost of 1 chicken nugget meal
5h + 6c = 39
9h + 2c = 35
Only answer if you’re sure :) thank you
Answers
Hope this helps!
Answer:
\( \frac{1}{-2} \)
A class contains 5 girls and 7 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
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The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.
Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.
Determine the total number of students in the class. That is 5 + 7 = 12.
Determine the number of ways to select two students from the class.
Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.
In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).
C(12, 2) = 12! / (2!(12-2)!) = 66.
Determine the number of favorable outcomes.
In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.
To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):
Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.
So, the probability of selecting a girl and a boy for the class committee is 5/6.
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Rationalize the denominator of sqrt32/(sqrt16-sqrt2). The answer can be written as )AsqrtB+C)/D, where A, B, C, and D are integers, D is positive, and B is not divisible by the square of any prime. Find the minimum possible value of A+B+C+D.
Answers
Answer:
Step-by-step explanation:
\(\frac{\sqrt{32} }{\sqrt{16} - \sqrt{2} } = \frac{4\sqrt{2} }{4 - \sqrt{2} } ----------------- (1)\)
It says it can be written in the form of
\(\frac{A\sqrt{B} + C }{D}\)
where A, B, C and D are integers, D is positive and B is not divisible by square of any prime
Rationalize equation 1:
\(\frac{4\sqrt{2} }{4 - \sqrt{2} } X \frac{4 + \sqrt{2} }{4 + \sqrt{2}}\)
in denominator, use (a + b)(a - b) = \(a^{2} - b^{2}\)
After multiplying numerator and denominator you should get
\(\frac{16\sqrt{2} + 8}{14}\)
this is in the form
\(\frac{A\sqrt{B} + C }{D}\)
where A = 16, B = 2, C = 8, and D = 14
hope this helps you ^^
Find the exact value of (7\pi )/(6)) by using the unit circle.
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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answers
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
Kate can read 12 pages in 8 minutes. How many minutes will it take her to read 30 pages? Write a proportion to this problem.
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Answer:
12/8 = 30/x ... x =20minutes
Step-by-step explanation:
If (9x − 4)(9x + 4) = ax² − b, what is the value of a? (5 points)
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Given, (9x - 4)(9x + 4) = ax² - b
From algebraic identities:
We know, (a + b)(a - b) = a² - b²
Now, 81x² + 36x - 36x - 16 = ax² - b
81x² - 16 = axis² - b
So ax² = 81x²
a = 81
-b = -16
b = 16
Solution
Therefore, the value of a is 81.
MyHeritageAnswer:
The value of a is 81
Step-by-step explanation:
The solution is in the image
hide answer hide solution try another find the area of the region enclosed by one loop of the curve. r
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The area of the region enclosed by one loop of the curve r = 3/2 sin(2θ) is 9π/16
How to find the area of and enclosed by equation?
When we need to find the area bounded by a single loop of the polar curve, we use the same formula which was used to find area inside the polar curve in general.
\(A = \int\limits^a_b {1/2 r^2} \, d\theta\\\)
where [a,b] is the interval and r is the given curve equation
According to the given question:
Equation of the given curve is r = 3/2 sin(2θ)
When r = 0, θ = π/2 which corresponds to one loop
Therefore area of the region enclosed by this curve is
A = 9/4 * 1/2 int 0 to π/2 sin²2θ dθ
A = 9/8 int 0 to π/2 (1 - cos4θ)/2 dθ
A = 9/8 * π/2
A = 9π/16
Area of the required loop is 9π/16
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Solve for the value of w.
(4w-8)°
(3w+6)°
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Answer: To find the value of w, we need to set the expressions equal to each other:
(4w-8) = (3w+6)
Subtracting 3w from both sides:
w - 8 = 6
Adding 8 to both sides:
w = 14
So the value of w is 14.
Step-by-step explanation:
Eric wrote the number 57,378. How many
times greater is the value of the 7 in the thousands
place than in the tens place?
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Suppose that the regression for predicting weight (in pounds) from Height (in inches) is given by Weight -115+3.6 (Height) Which of the following statements is correct?
I. A person who is 61 inches tall will weigh 104.6 poulds.
II. For every additional inch of height, the predicted weight will increase, on average by 3.6 pounds
III. The correlation between weight and height is negative.
A. II only
B. Iand II only
C. I only
D. II and III only
E. III only
Answers
Answer:
B. I and II only.
Step-by-step explanation:
A person who is 61 inches tall is predicted to weight 104.6 pounds according to the regression model.
\(y(61)=-115+3.6(61)=-115+219.6=104.6\)
The slope of the linear regression model indicates the rate of change of the predicted variable in function of a unit change in the independent variable. In this case, for each additional inch in height, the predicted weight will increase, on average by 3.6 pounds, as indicated by the slope of this model.
As the slope m=3.6 is positive, the correlation is positive: when the independent variable increases, the predicted variable also increases.
A] Both I and II are correct.
Weight = - 115 + 3.6 (Height)
Here, 115 is the autonomous weight at 0 level of height, it is the intercept. 3.6 is the slope, representing change in weight due to change in height. Slope implies that : For every additional inch of height, the predicted weight will increase, on average by 3.6 pounds. So, II is True
At height = 61 inches, weight = - 115 + 3.6 (61) = - 115 + 219.6 = 104.6 So, I is True
Regression shows cause effect relationship (of height on weight). Correlation shows just co-relationship in direction of variables' movement. Nevertheless, positive regression correlation increases the probability of positive correlation (instead of negative correlation) So, III is false
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i giveeee brainllstttt
Answers
Answer:
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Step-by-step explanation:
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj\jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
how are the step by step math problem suppose to be for this math problem (-2-8)^2?
Answers
Answer:
the answer is 100
Step-by-step explanation:
(-2-8)^2
(-2-8)(-2-8)
-2(-2-8)-8(-2-8)
4+16+16+64
20+80
100
which expression below is equal to -18 -8(2)+5_8+2(-5)_8+2(5)-8(5)+2
Answers
- 8 + 2(- 5)
- 8 - 10
= - 18
The correct answer is the second option
Part A: Choose one value for a and one value for b that would make both of the following inequalities true:
a < b and |b| < |a|
Answers
The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:
To make both inequalities true, we need to select values for a and b that satisfy the given conditions:
a < b: This inequality means that the value of a should be less than the value of b.
|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.
One possible solution that satisfies both conditions is:
a = -2
b = 1
With these values, we have:
-2 < 1 (a < b)
|-1| < |2| (|b| < |a|)
Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:
This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.
|b| < |a|:
This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.
By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.
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3. Suppose that the measurement of time during the day is converted to the metric system so that each day has 10 metric hours, and each metric hour has 100 metric minutes. Digital clocks would then be produced that would read 9:99 just before midnight, 0:00 at midnight, 1:25 at the former 3:00 AM, and 7:50 at the former 6:00 PM. After the conversion, a person who wanted to wake up at the equivalent of the former 6:36 AM would set his new digital alarm clock for A:BC, where A, B, and C are digits. Find 100A + 10B + C.
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The alarm at 6:36 AM will sound in metric time, which is equivalent to 2:75, and the value of 100A + 10B + C is 275.
From metric to standard time
1 minute equals 60 seconds in standard time.
1 h = 60 min = 3600 s
1 day = 24 hours = 1440 minutes = 86 400 seconds
A time of 8:9:2 equals 0.892 day.
0.892 day = 0.892 × 86 400 s = 77 069 s
1. From seconds to hours
2. Minutes to seconds
So, 0.892 day = 21 hours + 24 minutes + 29 seconds
In international notation, the time is 21:24:29 (about 9:24 p.m.).
B. From normal time to metric
1 hour equals 0.1 day in metric time.
1 minute = 0.1 hour = 0.01 day
1 second = 0.1 minute = 0.01 hour = 0.001 day
Hours, minutes, and seconds are thus tenths, hundredths, and thousandths of a day.
1. Convert the time from minutes to seconds.
6:36:00 = (6 × 3600 +36 × 60 ) s = 23760 s
2. Calculate the fraction of a day
23760 ÷ 86400 = 0.275
Hence the metric time is 2:75 .
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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?
Answers
1900 * 0.44 = 836
select the digit in the ten thousand place for 542,970
Answers
Answer:
The digit in the ten thousand place is 4 in 542,970
Step-by-step explanation:
Hope this helps :)
HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answers
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
I need help on this for real
Answers
Answer:
x < 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Gang ima just take them points tbh
Step-by-step explanation:
Based on the polynomial remainder theorem, what is the value of the function when
x = 3?
f(x)= x^4 – 2x^3 + 5x^2 – 7x + 4
Enter your answer in the box.
=f(3)
Answers
Answer:
55
Step-by-step explanation:
Value when x = 3
=> x⁴ - 2x³ + 5x² - 7x + 4
=> (3)⁴ - 2(3)³ + 5(3)² - 7(3) + 4
=> 81 - 2(27) + 5(9) - 21 + 4
=> 81 - 54 + 45 - 21 + 4
=> 130 - 75
=> 55
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answers
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°