30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg
Solution:
Let "x" be the kilogram of mocha coffee beans
Let "y" be the kilogram of java coffee beans
Cost of 1 kg of mocha coffee bean = $ 20
Cost of 1 kg of java coffee bean = $ 15
Kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend
Cost of 1 kg of mocha java blend = $ 18
From given information,
Mocha coffee beans and java coffee beans are mixed to get 50 kg of blend
Therefore,
[tex]x + y = 50 ------------ eqn 1[/tex]
Abdul wants to make a mocha-java blend that will sell for $18/kg
Therefore, we frame a equation as:
(kilogram of mocha coffee beans) x (Cost of 1 kg of mocha coffee bean) + (kilogram of java coffee beans) x (Cost of 1 kg of java coffee bean) = Cost of 1 kg of mocha java blend x 50 kg
Thus we get,
[tex]x \times 20 + y \times 15 = 18 \times 50\\\\20x+15y = 900 ------------ eqn 2[/tex]
Let us solve eqn 1 and eqn 2
From eqn 1,
x = 50 - y -------- eqn 3
Substitute eqn 3 in eqn 2
20(50 - y) + 15y = 900
1000 - 20y + 15y = 900
5y = 100
y = 20Substitute y = 20 in eqn 3
x = 50 - 20
x = 30Thus 30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg
We need to set and solve a system of equations, with the variables representing the weights of mocha and java coffee in the blend. Solving the system yields the number of kilograms needed.
Explanation:To solve your problem, Abdul, we will use the concept of weighted averages. We'll need two equations. Let's denote the weight of the mocha coffee in the mix by x kg and the weight of java coffee by y kg. From the problem's requirements, we get these two equations:
x + y = 5020x + 15y = 18*50.Now, the goal is to solve this system of equations. You can do that by, for example, substituting x = 50 - y in the second equation and solving for y. Then, substitute y's value back into the first equation to get x.
The solution to this system will give you the weights of mocha and java coffee beans needed to make your desired blend.
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What fraction is located at Point AAA on the number line?
Answer:
i don't see no number line
Step-by-step explanation:
Answer:
no pic
Step-by-step explanation:
1. A six-sided number cube is rolled and a card is drawn from a
standard deck. Find the total number of outcomes.
Answer:
it's 312
Step-by-step explanation:
1/6 is the total number of outcomes from the cube
1/52 is the total number of outcomes from the deck
multiply them and get 1/312
312 outcomes!
The question is an illustration of arrangement and selection.
The total number of outcomes is 312
The given parameters are:
Cube and Standard deck
A cube has 6 faces
A standard deck has 52 cards
So, the total number of outcome is:
[tex]\mathbf{Total = Cube \times Standard\ deck}[/tex]
Substitute known values
[tex]\mathbf{Total = 6 \times 52}[/tex]
[tex]\mathbf{Total = 312}[/tex]
Hence, the total number of outcomes is 312
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Average snowfall for Boise
Answer:
20 inches
Step-by-step explanation:
hope this helps you
Round 9.3959 to the nearest hundredth
Answer:
The answer is 9.396
Step-by-step explanation:
What is the exact value of cos (67.5° )?
The exact value of cos(67.5°) is found using half-angle identities in trigonometry, which leads to the solution √(2 - √2)/2.
Explanation:To find the exact value of cos (67.5°), we can use the half-angle identity for cosine which states that cos(θ/2) = ± √ ((1+cosθ)/2). In this case, to find the cosine of 67.5 degrees, we effectively need to calculate the half-angle of 135 degrees.
Thus, cos(67.5°) = cos(135°/2) = √ ((1+cos135°)/2) = √ ((1 - √2/2)/2). This further simplifies to √(2 - √2)/2.
This is because the cosine of 135 degrees equals -√2/2 (as it's in the second quadrant where cosine is negative).
Therefore, the exact value of cos(67.5°) is √(2 - √2)/2.
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if the circumference of one of the world's largest pizzas is 215 feet, what is its radius? Use 3.14 to approximate pi. Round to the nearest tenth.
Answer: 34.2
Step-by-step explanation:
Please help me with this math Question. I want to finish meh homework :((((
The original price of jacket was $180
Step-by-step explanation:
Markdown is the money that is reduced on an item on sale.
Given
Markdown = $63
Percentage = 35%
Let x be the price of the jacket
Then the percentage formula will be sued to find the price of the jacket
[tex]Markdown= 35\%\ of\ x\\63 = 0.35 * x\\x = \frac{63}{0.35}\\x = 180[/tex]
Hence,
The original price of jacket was $180
Keywords: Percentage, Mark up, mark down
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If h(x) = 6 - X, what is the value of (h*h)(10)?
The value of [tex]\bold{ h(h(10))=10}[/tex]
Solution:
Given: [tex]h(x) = 6 - x[/tex]
To find: The value of (h*h)(10)
We know that, [tex](h*h)(x)=h(h(x))[/tex]
which is,
[tex]\Rightarrow h(h(x))=6-(6-x)=x[/tex]
On solving we get,
[tex]\Rightarrow6-6+x=x[/tex]
So, for x = 10 it will be,
[tex]h(h(10))=10[/tex]
Hence, the required value is 10.
-2°F ___ -6°F
=?
>?
<?
Answer:
-2 °F > -6 °F
Step-by-step explanation:
-2 is to the right of -6 on the number line, so is the greater of the two values. The temperature has to go up from -6 to get to -2. Thus, ...
-2 °F > -6 °F
Please help me with the question. You must solve for x.
Answer:
[tex]x= (3, \frac{3}{10} )[/tex]
Step-by-step explanation:
The figure is composed of two similar triangles; therefore,
[tex]\frac{7x}{19x-4} =\frac{7x+8}{(5x+5)+(19x-4)}[/tex] this says the ratio of the sides is same for the two triangles.
we simplify and a rearrange to get
[tex]7x(24x+1)=(7x+8)(19x-4)[/tex]
which we expand and get
[tex]168x^2+7x=133x^2+124x-32[/tex]
[tex]35x^2-117x+32=0[/tex]
this quadratic equation has solutions
[tex]x=3.04[/tex]
[tex]x=0.30[/tex]
As integers and simplified fractions these are
[tex]x= (3, \frac{3}{10} )[/tex]
what is x-13+2x+1=180
Answer:
64
Step-by-step explanation:
x-13+2x+1=180
3x-13+1=180
3x-12=180
3x=180+12
3x=192
x=192/3
x=64
Answer:
X=83
Step-by-step explanation:
UH TOO LAZY TO EXPLAIN. lol
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test c e que tous
build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing in the
represents child bikes and a represents adult bikes, determine which system of inequality best explans whether the company and tes and 150
bikes in the week
No, because the bike order does not meet the restrictions of 40 + 6a s 120 and 4C + 4a s 100
No, because the bike order does not meet the restrictions of 40 + 4a s 120 and 6C + 4a 5 100
Yes, because the bike order meets the restrictions of 40 + 6a s 120 and 4C + 4a s 100
Yes, because the bike order meets the restrictions of 40 + 4a s 120 and 6c + 4a 5 100
As the question is unable to be understood/incomplete hence let's discuss the complete question (most probable question) and the answer for that.
Updated Question:
"A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100"
Answer:
Correct answer for this question is first option because it satisfies the first inequality but not the second one.
Step by Step Explanation:
[tex]NO,\\4c+6a\leq 120\\ and\\4c+4a\leq 100[/tex]
First Inequality:
4(20)+6(6)≤120
80+36≤120
116≤120 ⇒ TRUE
Second Inequality:
4(20)+4(6)≤100
80+24≤100
104≤100 ⇒ FALSE
Convert the decimal to a fraction.
0.6 repeating
For which equation is y=7 a solution
A)7y= 1
B)y - 26= -19
C)y + 7 = 0
D) y/2 = 7
Which of the following lengths cannot be the lengths of the sides of a triangle?
A. 4,6,9
B. 3,4,2
C. 2,2,3
D. 1, 1, 2
Evaluate each expression if d = 12 and e = 1/3 2d-5
Answer:
19
Step-by-step explanation:
Plug it in
35 POINTS!!!! PLEASE HELP! (2.01)A polygon is shown on the graph: A polygon is shown on a coordinate plane. Vertex A is at 1 comma 5, vertex B is at 0 comma 1, vertex C is at 6 comma 1, and Vertex D is at 5 comma 5. If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.
Answer:
A’ is (3,-3)
B’ is (-1,-4)
C’ is (-1,2)
D’ is (3,1)
Step-by-step explanation:
the other person gto one wrong this is what it should be
have a good day hope this helped
I have a pic to show you
(2,-1)
Is one of many solutions to the inequality:
X - 3y<1
True or false?
Answer:
False
Step-by-step explanation:
lets find out..
x - 3y < 1.....check (2,-1)....x = 2 and y = -1
now we sub
2 - 3(-1) < 1
2 + 3 < 1
5 < 1.......so is 5 less then 1 ? NO, it is not...so (2,-1) IS NOT a solution
Answer:false
Step-by-step explanation:
39 points!!!!! HURRY AND SHOW STEPS.... Point B is collinear with A and C and partitions AC in a 3:4 ratio. B is located at (4,1) and C is located at (12,5). Find the coordinates of endpoint A.
Answer:
(11,3)
Step-by-step explanation:
Find the distance between the points with the given coordinates (-4, 9) and (1, -3).
Answer: 13
Step-by-step explanation:
The formula for finding distance between two points is given by :
D = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]x_{1}[/tex] = -4
[tex]x_{2}[/tex] = 1
[tex]y_{1}[/tex] = 9
[tex]y_{2}[/tex] = -3
Substituting the values into the formula , we have :
D = [tex]\sqrt{(1 -(-4))^{2} +(-3-9)^{2}}[/tex]
D = [tex]\sqrt{(5)^{2}+(-12)^{2}}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13
Therefore : the distance between the points is 13
Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.
To find the y-intercept, rewrite the equation of the line in slope-intercept form:
Slope-intercept form: y = mx + b (b is the y-intercept)
This is how you get your equation in slope-intercept form:
5x -3y = -12
-3y = -5x - 12
-3y/-3 = (-5x -12)/-3
y = (5/3)x + 4
The answer is 4.
Please let me know if you understand in the comments!
What is the simplified expression for 6 (2 (y + x))?
6 y + 12 x
12 y + 12 x
12 y + 8 x
8 y + 8 x
Step-by-step explanation:
6(2(y+x))=6(2x+2y)=12x+12y
Answer:
12y + 12x
Step-by-step explanation:
You're welcome.
The area of a rectangle is 17 1/2 in and it’s shorter side is 3 1/2in.draw a diagram that shows this information. What is the length of the longer side
Answer: 5
Step-by-step explanation:
17 1/2 is equal to 17.5
3 1/2 is equal to 3.5
Since 17.5 is the area, you must divide by 3.5, which equals 5
To find the length of the longer side of a rectangle with an area of 17 1/2 square inches and a shorter side of 3 1/2 inches, divide the area by the width to get the length. The length of the longer side is 5 inches.
Explanation:The question is asking how to find the length of the longer side of a rectangle given that the area of the rectangle is 17 1/2 square inches and one of the shorter sides is 3 1/2 inches. To find the length of the other side, which we will call length, use the formula for the area of a rectangle which is area = length × width. Since the area and width (shorter side) are known, the equation can be set up as follows:
17 1/2 = length × 3 1/2To find the length, divide the area by the width:Length = (17 1/2) / (3 1/2)Convert mixed numbers to improper fractions:Length = (35/2) / (7/2)Multiply by the reciprocal of the divisor:Length = (35/2) × (2/7)Simplify the fractions:Length = 5Therefore, the length of the longer side of the rectangle is 5 inches.
Complete the following equation: a2 = b2 + c2 - ______.
2 bc cos A
2 ca cos B
2 ab cos C
none of the above
Answer:
2 bc cos A
Step-by-step explanation:
Cosine rule
The missing part of the equation is 2bc cos A. This equation is a form of the Law of Cosines from trigonometry, which provides a relationship between the lengths of the sides of a triangle and one of its angles.
Explanation:The equation presented is a variant of the Law of Cosines in trigonometry. To complete the equation accurately, we need to choose the right trigonometric relationship between sides a, b, c, and one of the angles. The correct completion of the equation is 2bc cos A.
The Law of Cosines can be stated in three different ways depending on the specific circumstances:
a² = b² + c² - 2bc cos Ab² = a² + c² - 2ac cos Bc² = a² + b² - 2ab cos CLearn more about Law of Cosines here:https://brainly.com/question/32188599
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Jenna and Callie collect stamps. Jenna has 20 less than twice the number of stamps that Callie has. Write an expression that represents the number of stamps that Jenna has.
The expression that represents the number of stamps that Jenna has is 2x - 20
Step-by-step explanation:
Let us revise some algebraic expressions
a is 5 more than b ⇒ a = b + 5a is 3 less than b ⇒ a = b - 3a is twice b ⇒ a = 2 bThe sum of a and b ⇒ a + bThe difference of a and b ⇒ a - bThe quotient of a and b ⇒ a ÷ bThe product of a and b ⇒ a × b∵ Jenna and Callie collect stamps
∵ Jenna has 20 less than twice the number of stamps that Callie has
- Assume that Callie has x stamps, that means to find the number
of stamps of Jenna multiply x by 2 and subtract 20 from the product
∵ Callie has x stamps
∵ Twice means × 2
∴ Jenna has = 2(x) - 20
∴ Jenna has = 2x - 20
The expression that represents the number of stamps that Jenna has is 2x - 20
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Figure LMNO is a parallelogram. Parallelogram L M N O is shown. Angle M is (3 x) degrees and angle N is (8 x minus 40) degrees. What is the value of x? 8 10 13 20
Answer:
20
Step-by-step explanation:
we know that
In a parallelogram, opposite angles are congruent and consecutive angles are supplementary
In this problem
M and N are consecutive angles so
[tex]m\angle M+m\angle N=180^o[/tex]
substitute the given values
[tex]3x^o+(8x-40)^o=180^o[/tex]
solve for x
[tex]11x-40=180\\11x=220\\x=20[/tex]
Answer:
20
Step-by-step explanation:
Which of the following inequalities could be the result of the first step in solving the inequality
3(x – 4) < 8x + 13 for x?
AX-45 x+13
B x-458x+10
(C3x – 4 5 8x+13
D
3x – 12 5 8x + 13
In the inequality 3(x – 4) < 8x + 13, the first step is to distribute the 3 on the left-hand side. That results in the inequality 3x – 12 < 8x + 13. Therefore, the correct answer from the options given is (D) 3x – 12 < 5 8x + 13.
Explanation:The question is asking for the inequality that could result after the first step when solving the given inequality 3(x – 4) < 8x + 13. The first step involves distributing the multiplication on the left side of the inequality. Therefore, 3 multiplied by x gives 3x and 3 multiplied by -4 gives -12. This leads to the inequality 3x – 12 < 8x + 13.
So, the correct answer from the options given is:
(D) 3x – 12 < 5 8x + 13.
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Use the formula d=rt to find the average speed of a car if the car traveled 320 miles in 8 hours.
Answer:
320 miles = (8 hours)(r)
r = 40 mph
A two-column proof
O uses a visual representation of the logical flow of steps needed to reach a conclusion
o contains a table with a logical series of statements and reasons that reach a conclusion
O contains a set of sentences explaining the steps needed to reach a conclusion,
O uses inductive reasoning to prove a statement.
Answer:
B contains a table with a logical series of statements and reasons that reach a conclusion.
Step-by-step explanation:
A two-column proof
uses a visual representation of the logical flow of steps needed to reach a conclusion.
contains a table with a logical series of statements and reasons that reach a conclusion.
contains a set of sentences explaining the steps needed to reach a conclusion.
uses inductive reasoning to prove a statement.
in 2014 there were about 126 million women in the United States, and women were about 51.4% of the total population. what was the total population in 2014?
Answer:
Step-by-step explanation
51.4% of the total population is 126 million
let x be the total population
turn ur percent to a decimal
0.514x = 126,000,000
x = 126 / 0.514
x = 245,136,186.77 <==
Answer:
245 millions
Step-by-step explanation:
51.4 > 126million
100 > X
X=100*126/51,4
X=245.1