Answer:
Amount of Arabica coffee mixing = 1.016 pounds
Step-by-step explanation:
Cost of Arabica coffee = 28$ per pound
Cost of Robusta coffee = 8.75$ per pound
Amount of Robusta coffee mixing = 5 pounds
Cost for 5 pounds of Robusta coffee = 5 x 8.75 = 43.75 $
Let m be the Amount of Arabica coffee mixing, we have price of mix = 12$ per pound
That is
43.75 + m x 28 = ( m + 5 ) x 12
43.75 + 16 m = 60
16 m = 16.25
m = 1.016 pounds
Amount of Arabica coffee mixing = 1.016 pounds
The solution involves the use of weighted averages to determine the amount of Arabica coffee needed. Solving the equation ((28*x) + (8.75*5)) / (x + 5) = 12 for x results in approximately 2.4 pounds of Arabica coffee.
Explanation:In this problem, we have two types of coffee: Arabica costing $28 per pound and Robusta costing $8.75 per pound. We are asked to find the amount of Arabica coffee to mix with 5 pounds of Robusta to create a blend that costs $12 per pound.
This can be solved using weighted averages. We'll denote the amount of Arabica coffee as 'x' pounds. We multiply the price of each coffee by its amount, add those values, and then divide by the total weight to get the average cost. This can be represented as ((28*x) + (8.75*5)) / (x + 5) = 12.
Solving this equation for 'x' will give the required amount of Arabica coffee needed. Applying the arithmetic operation gives 28x + 43.75 = 12x + 60. Which simplifies to x = 2.38 pounds. So approximately 2.4 pounds of Arabica coffee is needed.
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How do you round 949,999 to the nearest ten thousand
Answer:
950,000
Take the placement before the placement you need to round and round.
i need the answers for #8-10
Answer:
no .8 9 10 are false statement
Step-by-step explanation:
8.angle 3 and angle 5 are not vertical angles because the two lines do not intersect
9 angle 3 and angle 4 are not complementary angle because their non common arms are two opposite rays.
10.angle 1 and angle 2 are not supplementary angles because their non common arms are not two opposite rays.
The answers for #8-10 involve finding the derivative of a function, solving a system of equations, and finding the slope of a line.
Explanation:For question #8, you need to find the derivative of the given function. This involves using the power rule and the chain rule. For question #9, you are given a system of equations and you need to solve for the values of x and y. This can be done using substitution or elimination. Finally, for question #10, you are asked to find the slope of a line given two points. You can use the formula (y2 - y1) / (x2 - x1) to find the slope.
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In the standard (4) coordinate plane, the coordinates of the midpoint of AB are (6,8) and the coordinates of A are
(3,2). What are the coordinates of B ?
A. (0,-4)
B.(3,6)
C.(9/2,5)
D. (9,14)
E.(-3,-6)
Final answer:
To find the coordinates of point B, use the midpoint formula and solve the equations.
Explanation:
To find the coordinates of point B, we can use the formula for finding the midpoint of a line segment. The midpoint of AB is given as (6,8), and the coordinates of A are (3,2). Let's call the coordinates of B as (x,y).
According to the midpoint formula, the x-coordinate of the midpoint is the average of the x-coordinates of A and B, and the y-coordinate of the midpoint is the average of the y-coordinates of A and B.
So, we can set up the following equations:
(3+x)/2 = 6 and (2+y)/2 = 8
Solving these equations, we find that x = 9 and y = 14.
Therefore, the coordinates of point B are (9,14).
Given the function f(x) = 2x − 5 and g(x), which function has a greater slope?
x g(x)
2 0
4 5
6 10
1. f(x) has a greater slope.
2. g(x) has a greater slope.
3. The slopes of f(x) and g(x) are the same.
4. The slope of g(x) is undefined.
Answer: The correct option is
(B) g(x) has a greater slope.
Step-by-step explanation: We are given the following two functions :
[tex]f(x)=2x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
and
x 2 4 6
g(x) 0 5 10
Comparing equation (i) of f(x) with the slope-intercept form y = mx+c, we get
[tex]\textup{slope, m}=2.[/tex]
Now, we know that if a linear function contains two points (a, b) and (c, d), then its slope is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Since (2, 0) and (4, 5) are two points on g(x), so its slope will be
[tex]m=\dfrac{5-0}{4-2}=\dfrac{5}{2}=2.5.[/tex]
Therefore, slope of f(x) = 2 and slope of g(x) = 2.5.
Thus, slope of g(x) is greater.
Option (B) is CORRECT.
only the circled ones please!!!!! Due today!!!!!! Will give brainliest and 5stars!!!
Answer:
[tex]\boxed{18. \, -3 \leq x \leq \dfrac{16}{9};\quad 22. \text{ $x \leq -19$ or $x \geq -5$}}[/tex]
Step-by-step explanation:
Q18
[tex]\left |\dfrac{3x - 5}{2} \right | \leq 7[/tex]
Multiply each side by 2
[tex]|3x - 5| \leq 14[/tex]
Apply the absolute rule:
If |x| ≤ a, then -a ≤ x ≤ a
This gives
-14 ≤ 3x - 5 ≤ 14
Separate into two inequalities
[tex]\begin{array}{cc}-14 \leq 3x - 5 & 3x - 5 \leq 14 \\-9 \leq 3x & 3x\leq 19 \\-3 \leq x & x \leq \dfrac{19}{3} \\\end{array}[/tex]
Merge the overlapping intervals
[tex]\boxed{\mathbf{-3 \leq x \leq \dfrac{16}{9}}}[/tex]
Q22
-5|x + 12| ≤ -35
Divide each side by -5
This reverses the sign of the inequality.
|x + 12| ≥ 7
Apply the absolute rule
If |x| ≥ a, then -a ≥ x or x ≥ a
-7 ≥ x + 12 or x + 12 ≥ 7
Separate into two inequalities
[tex]\begin{array}{cc}-7 \geq x + 12 & x + 12 \geq 7 \\-19 \geq x & x\geq -5 \\\end{array}[/tex]
Combine the intervals
[tex]\boxed{\textbf{$x \leq -19$ or $x \geq -5$}}[/tex]
$120
for 5 days of work
U(-3,6), V(-8, 1), W(-3,1)
180° rotation about the origin
Answer:
U'(3, -6), V'(8, -1), W'(3, -1)
Step-by-step explanation:
According to the 180°-rotation rule, you take the OPPOSITE of both the y-coordinate and x-coordinate:
Extended Rotation Rules
270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)
270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)
180°-rotation >> (x, y) → (-x, -y)
I am joyous to assist you anytime.
Help pls 20 points
A. The relationship between time and distance is not directly proportional.
B. The point (3, 165) means the car traveled 3 miles in 165 minutes.
C. The constant of proportionality represents distance/time.
D. The point (0, 0) represents the beginning of the trip.
E. It takes more time to drive 220 miles than to drive 275 miles.
F. The unit rate is 0 miles per hour.
Answer:
a) false
b) false
c) true
d) true
e) false
f) false
Step-by-step explanation:
hope this helps :)
The speed of a falling object increases at a constant rate as time increases since the object was dropped. Which graph
could represent the relationship between t time in seconds, and s, speed in meters per second?
Answer:
Step-by-step explanation:
As the object is falling from a fixed Distance, so Speed increases as time increases.
Both speed and time are Directly proportional to each other if distance remains constant.
S = k T
When , T=0, S=0
T=1 s, S=1 m/s
T=2 s, S= 2 m/s
\frac{dS}{dT}=k=Change in speed(Average Speed), if it is Change in Velocity then it will be equal to =a (Acceleration).
Answer:
A on edge 2021
Classify the following Triangle
Answer:
equilateral triangle
Step-by-step explanation:
all sides are equal
Hey!
--------------------------------------
Answers:
Equilateral
Acute
--------------------------------------
Explanation:
The lines on each side show that all the sides are the same length. Acute angles are angles that are less than 90 degrees. Each angle is less than 90 degrees.
--------------------------------------
Hope This Helped! Good Luck!
4, 12, 36, 108 , ... this means Arithmetical or Not Arithmetical
[tex]\text{Hello there!}\\\\\boxed{\text{This would not be an arithmetical sequence}}\\\\\text{This is not an arithmetic sequence because the common number is}\\\text{not adding.}\\\\\text{The sequence in the question would be known as a geometric sequence}\\\\\text{A geometric sequence multiplies by a common ratio, and that's what the}\\\text{sequence is doing}\\\\\text{The sequence is being multiplied by a common ratio of 3}[/tex]
Final answer:
The sequence is not arithmetic; the terms are increasing by multiplying the previous term by 3.
Explanation:
This sequence does not follow an arithmetic pattern. In an arithmetic sequence, each term is found by adding a constant difference to the previous term. However, in this sequence, the terms are increasing by multiplying the previous term by 3. For example:
Term 1: 4
Term 2: 4 x 3 = 12
Term 3: 12 x 3 = 36
Term 4: 36 x 3 = 108
Since the terms are not increasing by a constant difference, this sequence is not arithmetic.
Solve the word problem below.
Jane took out $135 from her checking account. If Jane now has a balance of $650 in her account, how much did Jane have in the account before she took out any money?
($785.00)
Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.
Answer:
x represents Jane's initial amount of money in her bank account.
Step-by-step explanation:
x - 135 = 650
650 + 135 = x
x = 785
Which shape has larger area: a rectangle that is 7 inches by 3/4 inch, or a square with a side length of 2 1/2 inches. Tell your reasoning.
The square with a side length of [tex]2\frac{1}{2}[/tex] inches has a larger area of 6.25 square inches, compared to the area of the rectangle which is 5.25 square inches.
To determine which shape has a larger area, let's calculate the area of both the rectangle and the square. The rectangle measures 7 inches by 3/4 inch, so its area is calculated by multiplying these dimensions:
Area of the rectangle = length ×width = 7 inches × [tex]\frac{3}{4}[/tex] inch = [tex]\frac{21}{4}[/tex] square inches or 5.25 square inches.
The square has a side length of [tex]2\frac{1}{2}[/tex] inches, which is equivalent to 2.5 inches. Hence, the area of the square is:
Area of the square = side ×side = 2.5 inches × 2.5 inches = 6.25 square inches.
Comparing the two, we can see that the square with a side length of [tex]2\frac{1}{2}[/tex] inches has a larger area of 6.25 square inches compared to the rectangle's area of 5.25 square inches.
8a+ 5 - 10a -11 simplify by combining like terms
Answer:
8a + 5 - 10a - 11 simplified equals -2a - 6
Step-by-step explanation:
1st group like terms: 8a - 10a + 5 - 11
2nd add similar elements: 8a - 10a = -2a,
-2a + 5 - 11
3rd add/subtract the numbers: 5 - 11 = -6
-2a - 6
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Find the vertex of this parabola:
y = -5x2 - 10x - 15
Enter the correct answer.
Answer:
Vertex of parabola (-1, -10)
Step-by-step explanation:
For a given quadratic y = ax² + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k. If you've already learned the Quadratic Formula, you may find it easy to memorize the formula for k, since it is related to both the formula for h and the discriminant in the Quadratic Formula: k = (4ac – b2) / 4a.
What is the value of 42 – 2(3 • 5 + 1)?
[tex]4^{2}[/tex] – 2(3 • 5 + 1) = -16
The 2 is a superscript which was the first person's mistake
Lucy ate eight more than three times as many pretzels as Matt Lucy ate 56 pretzels how many pretzels did Matt eat
Lucy ate 56 pretzels and Matt ate 16 pretzels.
Explanation:To find out how many pretzels Matt ate, we need to use the information given in the question. Let's represent the number of pretzels Matt ate as 'x'. According to the question, Lucy ate 56 pretzels, which is 8 more than three times the number of pretzels Matt ate. So we can write the equation: 56 = 3x + 8. We must place x on one side of the equation alone in order to solve for it. Subtracting 8 from both sides, we get 56 - 8 = 3x, which simplifies to 48 = 3x. Finally, dividing both sides by 3, we find that x = 16.
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On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 4, negative 4) and goes up to an open circle at (negative 1, 2). The second line has a closed circle at (negative 1, 3), continues horizontally to (1, 3), and then goes down to a closed circle at (4, 0).
What is the value of h(3)?
–2
–1
1
2
Answer:
1
Step-by-step explanation:
The last part of the line starts from (1,3) and goes to (4,0)
We have two points, so we figure out the equation of this line with the formula:
y = mx + b, where m is the slope and b is the y intercept
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{0-3}{4-1}=\frac{-3}{3}=-1[/tex]
So we can now write y = -x + b
Plugging in a point (1,3), we get:
3 = -1 + b
b = 3+1 = 4
The equation is y = -x + 4
To find h(3), we substitute 3 into x and find the value of y:
y = -x + 4
y = -3 + 4
y = 1
Thus, h(3) = 1
I need help on this question
Good luck I’m actually looking for answers just like this
Angles D and F are ______ because they are ______ angles.
Answer:
corresponding
Step-by-step explanation:
Answer:congruent because they are corresponding angles.
Step-by-step explanation:
What is the coefficient of each monomial?
a. 5pk
b. f
c. –9t
d. –j
Step-by-step explanation:
Look at the picture
a. 5pk → 5
b. f = 1f → 1
c. -9t → -9
d. -j = -1j → -1
It takes 300 gallons of water to produce one pound of
synthetic rubber. How many gallons of water does it
take to produce 8 pounds of synthetic rubber?
Answer: 2400
Step-by-step explanation:
for every pound there is 300 gallons, so
300 x 8 = 2400
Hope this helps!
The area of a closet is 100 square feet. Write the number in exponent form and in word form
Answer:
[tex]10^{2}[/tex]
one hundred
Step-by-step explanation:
10 × 10 = 100
100 square feet can be written in exponent form as 10^2, which is read as 'ten squared'. The word form of this is 'one hundred'.
Explanation:The area of the closet is given as 100 square feet. This can be written in exponent form as 102. The '^' symbol denotes an exponent, which means 'raised to the power of'. Here, '10' is the base and '2' is the exponent, indicating that 10 is multiplied by itself once. In word form, this can be referred to as 'ten squared' or 'one hundred'.
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Solving equations-variables on both sides!
Simplifying
64 + -12w = 6w
Solving
64 + -12w = 6w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-6w' to each side of the equation.
64 + -12w + -6w = 6w + -6w
Combine like terms: -12w + -6w = -18w
64 + -18w = 6w + -6w
Combine like terms: 6w + -6w = 0
64 + -18w = 0
Add '-64' to each side of the equation.
64 + -64 + -18w = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -18w = 0 + -64
-18w = 0 + -64
Combine like terms: 0 + -64 = -64
-18w = -64
Divide each side by '-18'.
w = 3.555555556
Simplifying
w = 3.555555556
12. Solve the equation y2 = 81.
Hey!
---------------------------------------------------------
Solution:
y² = 81
To solve just take the square root of 81.
√81 = 9
---------------------------------------------------------
Check:
(9)² = 81
81 = 81
---------------------------------------------------------
Answer:
x = 9
---------------------------------------------------------
Hope This Helped! Good Luck!
is 0.27227222722227 a rational or irrational number?
Answer:
irrational
Step-by-step explanation:
solve the following math problems, round appropriately according to sig. fig. rules. 84.9 • 64
Answer:
84.9*64=5433.6
3900/2.6=1500
1080/15.9=67.9245283019
2.86*8.77*200=5016.44
1500/64=23.4375
6007/5.5=1092.1818....
Step-by-step explanation:
Danielle needs to walk 3 miles. If she wants to reach her destination in 45
minutes (3/4hour), how fast does she need to walk?
Answer: She needs to walk 5 miles an hour
There's two numbers 2.5 miles and 0.5 hours, you divide that, and you get the number 5, so that means, 5 miles an hour
She needs to walk at a speed of 4 miles/hour to reach the destination in 45 minutes.
What is Speed?Speed is the ratio of the total distance covered by an object and the required time to cover that by that object. It is also called Velocity.
[tex]Velocity=\frac{Distance}{Time}[/tex]
Velocity is the measurement which shows an object is how fast.
In this given problem,
The total distance Danielle needs to cover by walking is 3 miles.
She needs to reach the destination in 45 minutes
We know that,
60 minutes = 1 hour
1 minute = [tex]\frac{1}{60}[/tex] hour
45 minutes [tex]=\frac{45}{60}=\frac{3}{4}[/tex] hours
So she has to have the velocity/speed of [tex]=\frac{3}{\frac{3}{4}}=3\times\frac{4}{3}=4[/tex] miles/hour
Hence she needs to walk 4 miles/hour.
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Given f(x)=10-2^x, find f(7)
Answer:
Step-by-step explanation:
f(x)=10-2^x,
f(7) = 10 - 2^7 but : 2^7 = 128
so : f(7) = 10 - 128 = - 118
PI-3.
FIELD TRIP
In order to take a field trip to the science museum. Ms. Speedi's students sold
scented pencils for $1. In the classroom. Rowena tried to put the $1 bills into a
equal piles and found one left over at the end. When Polly tried putting the bin
in 3 equal piles, she also ended up with one extra bill. Frustrated, they tried 4
5, and 6 equal piles and each time had $1 left over. Finally Rowena put all the
bills evenly into 7 equal piles, and none were left over.
Based on this information, Ms. Speedi is sure there is enough money for the
fieldtrip!
a. What is the least amount of money they could have raised? Show how
know.
b.
It turns out that they raised more than $500. Knowing this, what is the least
amount of money they could have raised?
Answer:
A. $301
B. $721
Step-by-step explanation:
Let $x be the amount of money they raised.
Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then
[tex]x=2q_1+1[/tex]
Polly tried to put the $1 bills into three equal piles and found one left over at the end, then
[tex]x=3q_2+1[/tex]
Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then
[tex]x=4q_3+1\\ \\x=5q_4+1\\ \\x=6q_5+1[/tex]
Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then
[tex]x=7q_6[/tex]
This means [tex]x-1[/tex] is divisible by 2, 3, 4, 5 and 6 without remainder, so
[tex]x-1=2\cdot 3\cdot 2\cdot 5n=60n[/tex]
Hence,
[tex]x=60n+1, \ n\in N[/tex]
The smallest amount of money they could have raised is $301, because
[tex]x=60\cdot 5+1=301[/tex] is divisible by 7.
Now, the number [tex]x=60n+1[/tex] should be divisible by 7 and must be greater than 500.
So,
[tex]60n+1>500\\ \\60n>499\\ \\n>8[/tex]
When n = 9,
[tex]x=60\cdot 9+1=541[/tex] is not divisible by 7.
When n = 10,
[tex]x=60\cdot 10+1=601[/tex] is not divisible by 7.
When n = 11,
[tex]x=60\cdot 11+1=661[/tex] is not divisible by 7.
When n = 12,
[tex]x=60\cdot 12+1=721[/tex] is divisible by 7.
B. The least amount of money they could have raised is $721
Answer:
A:301 and b: 721