Let us say that:
x = pounds of $7 coffee
So that:
7 x + 2 * 20 = 5 * (x + 20)
7x + 40 = 5x + 100
2x = 60
x = 30 pounds
Therefore 30 pounds should be added.
To get a mixture of coffee worth $5 a pound, you should add 30 pounds of coffee worth $7 a pound to 20 pounds of coffee worth $2 a pound.
Explanation:To solve this problem, we can use the method of mixtures. Let's assume that x pounds of coffee worth $7 a pound is added to 20 pounds of coffee worth $2 a pound. The total weight of the mixture will be (x + 20) pounds. The total value of the mixture will be the sum of the values of the two types of coffee.
The value of the 20 pounds of coffee worth $2 a pound is 20 * 2 = $40. The value of the x pounds of coffee worth $7 a pound is 7x. So, the total value of the mixture will be $40 + 7x.
Since we want the mixture to be worth $5 a pound, we can set up the equation:
(40 + 7x) / (20 + x) = 5
To solve this equation, we can cross-multiply:
(40 + 7x) = 5(20 + x)
Expanding the right side of the equation, we get:
40 + 7x = 100 + 5x
Subtracting 5x from both sides, we get:
2x = 60
Dividing both sides by 2, we get:
x = 30
Therefore, 30 pounds of coffee worth $7 a pound should be added to 20 pounds of coffee worth $2 a pound to get a mixture worth $5 a pound.
The perimeter p of a rectangle is related to the length l and width w through the equation p=2l+2w. determine the width in terms of the perimeter and length.
an ice cream factory makes 260 quarts of ice cream in 10 hours. How many quarts could be made in 36 hours? What was that rate per day?
Final answer:
The ice cream factory can make 936 quarts in 36 hours and the rate per day is 624 quarts.
Explanation:
To find out how many quarts of ice cream can be made in 36 hours, we can set up a proportion based on the rate of production. The rate of production is 260 quarts of ice cream in 10 hours. We can set up the proportion:
260 quarts / 10 hours = x quarts / 36 hours
Cross-multiplying, we get:
10x = 260 * 36
Simplifying, we find:
x = (260 * 36) / 10 = 936
Therefore, 936 quarts of ice cream can be made in 36 hours.
To find the rate per day, we need to calculate how many quarts can be made in 24 hours. We can set up the proportion:
260 quarts / 10 hours = y quarts / 24 hours
Cross-multiplying, we get:
10y = 260 * 24
Simplifying, we find:
y = (260 * 24) / 10 = 624
Therefore, the rate per day is 624 quarts of ice cream.
6(r+3)-4=2r+10+4r how do you slove that
Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age. Which inequality represents Alicia’s possible age? 0
0
0
0
Suppose it took 12 riders a total of 11 days 21 hours to ride from St.joseph to Sacremento. If they all rode the same number of hours how many hours did each rider ride
in a word game, you choose a tile from the bag, replace it, and then choose another. if there are 28 vowels and 12 constants, what is the probability you will choose a constant
What is the greatest perfect square that is a factor of 756?
Factor the polynomial given a common factor.
Evaluate cot675°. i will give brainlist
The value of expression cot 675° is, - 1
We have to given that,
To find the value of cot 675°.
Now, We can find the value as,
⇒ cot 675°
⇒ cot (2 × 360 - 45)°
⇒ - cot 45°
⇒ - 1
Hence, The value of expression cot 675° is, - 1
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What is the radius of a circle with circumference 27 in.?
The radius of a circle with a circumference of 27 inches can be calculated using the formula for the circumference of a circle which is 2πr. Calculating this, the radius is approximately 4.3 inches.
Explanation:The subject of this question is Mathematics, more specifically, Geometry which deals with shapes, sizes and properties of figures. In this case, we are being asked to find the radius of a circle given its circumference. The circumference of a circle is calculated as 2πr, where r represents the radius and π is approximately equal to 3.14.
To find the radius (r), you would divide the circumference by 2π. Given that the circumference of the circle is 27 inches, we divide 27 by 2π (approximately 6.28). This can be further simplified to approximately 4.3 inches.
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What is the difference of the polynomials?
Answer:
2x^3 + 2x
Step-by-step explanation:
subtract the 2 x^4's
x^3 +x^3 = 2x^3
x +x = 2x
answer is 2x^3 + 2x
The difference between the polynomials, [tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex] is expressed as: [tex]\mathbf{2x^3 + 2x}[/tex]
Given the polynomials:
[tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex],We are required to find their difference which can be solved as follows:
[tex](x^4 + x^3 + x^2 + x ) - ( x^4 - x^3 + x^2 - x)[/tex]
First, open the bracket by multiplying every term you have in [tex]( x^4 - x^3 + x^2 - x)[/tex] by -1:
Thus:[tex]x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x[/tex]
Group like terms together and add them together[tex]x^4 - x^4 + x^3 + x^3 + x^2 - x^2 + x + x\\\\\mathbf{2x^3 + 2x}[/tex]
Thus, the difference between the polynomials, [tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex] is expressed as: [tex]\mathbf{2x^3 + 2x}[/tex]
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4. Your Turn: Find the measure of angle B. Enter only the number as your answer. *
What is the product? (X-3)(2x^2-5x+1)
Answer:
C. 2x^3-11x^2+16x-3
Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is
What is the median of the data set?
30 52 68 65 69 61 68 75 85 78
Question 2 options:
61
65.1
68
69
Answer: The answer is 68
The above answer is incorrect.
Step-by-step explanation:
y+6x=11; x= -1, 0, 4
solve the equation for y then find the value of y for each value of x
−42v+33<8v+91 solve for v
The value of v is v > -1.16.
What are Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given linear inequality is
−42v + 33 < 8v + 91
We have to take like terms on one side.
-42v and 8v are like terms and 33 and 91 are like terms.
Subtracting 8v from both sides,
−42v + 33 - 8v < 8v + 91 - 8v
-50v + 33 < 91
Subtracting 33 from both sides,
-50v + 33 - 33 < 91 - 33
-50v < 58
Dividing both sides by -50, the inequality sign changes.
v > -58 / 50
v > -1.16
Hence the solution for the inequality is v > -1.16.
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Mr.Frost typed for 12 minutes at a constant rate of 50 words per minute. Mrs. Grey typed the same number of words at a constant rate of 60 words per minute.
How many minutes did it take Mrs. Grey to type the same amount as Mr. Frost?
Drag the steps in the correct order to solve the problem.
Strategize. Let x = Mrs. Grey's time.
Solve for x. x=10.
Identify. Mrs. Grey's time is the unknown.
Set up. 12(50)= x(60)
Check. 12(50) = 10(60)
Identify
strategize
set up
solve
check
1) Identify ------> Mrs. Grey's time is the unknown
2) Strategize
Let
x--------> Mrs. Grey's time in minutes
3) set up
we know that
[tex]12*50=x*60[/tex]
4) solve
[tex]12*50=x*60\\ x=(12*50)/60\\x=10\ minutes[/tex]
5) check
[tex]12*50=10*60\\600=600[/tex]
therefore
the answer is
-Identify
-strategize
-set up
-solve
-check
what's the answer to this equation?
What is the measure of an exterior angle of a regular 11-sided polygon? enter your answer as a decimal in the box. round to the nearest tenth of a degree?
The equation of a line is x + 4y = 15.
What is the y-intercept of the line?
415
15
−15
154
What is the slope of the line shown?
Answer:
Option (b) is correct.
The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]
Step-by-step explanation:
Given: A graph with an equation of line having two points (1,6) and (-6, -3)
We have to find the slope of the given line in graph and choose the correct from the given options.
Consider the two points (1,6) and (-6, -3).
Slope between two points can be calculated using the formula as,
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, [tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-3\right)[/tex]
Thus, Slope is
[tex]m=\frac{-3-6}{-6-1}=\frac{9}{7}[/tex]
Thus, The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]
Plz help! Convert 3/5 into fractions with a denominater of 15 A.9/15 B. 3/15 C.5/15 D. 6/15
If 15 workers can paint 18 houses in 24 days how many days will 40 workers take to paint 22 house
If h(x)= (f o g)(x) and h(x)= 4 √x+7, find g(x) if f(x) = 4 √x+1
if that is the wrong answer then what is the right answer .
How do you work out a quadratic equation with a maximum value?
Ellen walks dogs on weekends. She gets paid $8.50 per hour. Each day she works five hours and 45 minutes. How much does Ellen get paid per weekend?
Line SV is an angle bisector of angle RST if angle RSV = (3x+5) and angle RST = (8x-14) find x
Answer:
x=12
Step-by-step explanation:
Line SV is an angle bisector of angle RST
<RSV = <VST
Both angles are equal
m<RSV = (3x+5)
<RSV = <VST, so m<VST = (3x+5), m<RST= 8x-14
m<RST= m<RSV +m<VST
[tex]8x-14= 3x+5+3x+5[/tex]
Combine like terms and solve for x
[tex]8x-14= 6x+10[/tex]
Subtract 6x from both sides
[tex]2x-14=10[/tex]
Add 14 on both sides
[tex]2x=24[/tex]
Divide both sides by 2
x=12
A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?
a.)There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster.
b.)As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.
c.)As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.
d.)The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.
Answer:
c
Step-by-step explanation: