A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answers
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
Related Questions
Is the sequence arithmetic or geometric? 1, 2, 4, 8, 16, ...
Answers
Answer:
The answer is geometric
Step-by-step explanation:
To solve this problem you will need to know the difference between an arithmetic and a geometric.
An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.
A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.
We can see in the sequence that the number that is being multiplied over and over again is 2 so the answer is a geometric sequence.
Anyone know this need help please
Answers
Answer:
81.1
Step-by-step explanation:
The formula to find the cirumference is C=πd
We know d=diameter
so.. C=25.8π
That's gives us 81.053
round it after to approximately 81.1
Answer:
find the equation to find a circumference of circle with that diameter
Step-by-step explanation:
IF YOU GET ALL OF THESE CORRECT I WILL MARK YOU BRAINIEST:
-What is an ordered pair?
-What is first in an ordered pair, the x-value or the y-value?
-How do you find the distance between two points in a coordinate plane? -What is the distance between (4,3) and (4, -2)?
Answers
Answer:
1. an ordered pair is a pair or numbers in a specific order. It's a set of points.
2. The x-value is always first in an ordered pair, y-value second
3. The distance between the points is 5 units
Step-by-step explanation:
1. For example, (x,y)
2. no explanation needed
3.You can find the distance of two points by using the distance formula [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]. To find the distance between (4,3) and (4,-2), we can plug the points into the distance equation. When solved, we get d=5, so the distance between the two points is 5 units.
hope this helps! please give brainliest!!
An ordered pair is a pair of values. The order in which the values appear is very important, since (x, y) is a whole different thing from (y, x).
The first in an ordered pair is the x-value, since mathematics usually goes by the order of the alphabet: a before b, and x before y.
The distance between two points in a coordinate plane is [tex]d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex], which is the distance formula.
The distance between (4, 3) and (4, -2)...
d = [tex]\sqrt{(4 - 4)^2 + (3 - (-2))^2}[/tex] = [tex]\sqrt{0^2 + 5^2}[/tex] = [tex]\sqrt{5^2}[/tex] = plus or minus 5.
Since distance can't be negative, the distance between the coordinates is 5 units.
Hope this helps!A system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3).
On a coordinate plane, a line goes through (0, 3) and (2, 5).
What is the solution to the system of equations?
Answers
Answer:
(8, 11)
Step-by-step explanation:
The 2-point form of the equation of a line is useful for the one where only points are given.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (3 -1)/(4 -3)(x -3) +1
y = 2(x -3) +1
We can equate this to the expression for y in the given equation.
x +3 = 2(x -3) +1
x +3 = 2x -5 . . . . . . eliminate parentheses
8 = x . . . . . . . . . . . . add 5-x
Using the given equation, we can find y:
y = x +3 = 8 +3
y = 11
The solution to the system is (x, y) = (8, 11).
Answer:
8,11
Step-by-step explanation:
Referring to triangle ABC, find the area of the triangle.
a = 4.34 ft, b = 3.78 ft, c = 5.27 ft
Round your answer to three significant digits.
Answers
Answer: area of triangle = 13.4 ft ( after rounding the answer to 3 significance figures)
Step-by-step explanation:
formula for the area of triangle
= S + S + S
= 4.34 + 3.78 + 5.27
= 13.9 ft
= 13.4 ( after rounding off to three significant figures )
Match each statement (term) with its value in relation to 0 (definition). Match Term Definition
Answers
Answer:
Step-by-step explanation:
a building is 35ft tall=35
the scuba diver was 35ft below sea level=-35
the basement is 7.6ft below ground=-7.6
oliver owes his sister $23=-23
erica jumped 2.3ft above ground=2.3
Answer:
a building is 35ft tall=35
the scuba diver was 35ft below sea level=-35
the basement is 7.6ft below ground=-7.6
oliver owes his sister $23=-23
erica jumped 2.3ft above ground=2.3
Step-by-step explanation:
Terry bought some gum and candy. The number of packages of chewing gum was one more than the number of mints. The number of mints was three times the number of candy bars. If gum was 6 cents a package, mints were 3 cents each, and candy bars were 10 cents each, how many of each did he get for 80 cents?
Answers
Answer:
2 Candy bars
6 Mints
7 Gum
Step-by-step explanation:
Candy bars=x
mints=3x
gum=3x+1
10(x)+3(3x)+6(3x+1)=80
10x+9x+18x+6=80
37x=80-6
37x=74
x=2
SO:
cand bars = x = 2
mints = 3x = 6
gum = 3x+1 = 7
Answer:
2 candy bars, 6 mints, and 7 packages of gumm
Step-by-step explanation:
Which is the best approximation for the solution of the system of equations? y = A system of equations. y equals negative StartFraction 2 over 5 EndFraction x plus 1. y equals 3 x minus 2.x + 1 y = 3x – 2 A coordinate grid with 2 lines. The first line passes through (0, 1) and (5, negative 2). The second line passes through (0, negative 2) and (1, 1). the lines appear the intersect at a point that is almost to 1 and almost to 1. (0.45, 0.88) (0.88, 0.65) (0.88, 1.1) (1.3, 0.88)
Answers
Answer:
(0.88, 0.65)
Step-by-step explanation:
Given that the two equations of the line are:
y =( -2/5)x + 1 and y = 3x – 2. To find the solution, we have to solve the equations simultaneously.
y =( -2/5)x + 1 . . . 1)
y = 3x – 2 . . . 2)
Subtracting equation 1 from equation 2:
3.4x -3 = 0
3.4x = 3
Dividing through by 3.4
3.4x/3.4 = 3/3.4
x = 0.88
To find y, substitute x = 0.88 in equation 2:
y = 3(0.88) - 2
y = 2.65 - 2
y = 0.65
This means that the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65)
Answer:
(0.88, 0.65)
Step-by-step explanation:
i just took the test
:o help (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
Answers
Answer:
no
Step-by-step explanation:
the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.
Please Help Me Asap Will Give BRAINLIEST What are the solutions to the system of equations? {y = 1/4x^2 − 2 y = −1/2x} Graph the system of equations to solve. (0, 0) and (−4, 2) (2.9, 0) and (−2.9, 0) (−4, 2) and (2, −1) (0, 0) and (0, −2)
Answers
Answer:
{y = 1/4x^2 − 2 y = −1/2x}
(0,0)
(-6,3)
Step-by-step explanation:
Rewrite as system of equations
y=-1/2x
1/4x^2-2y=-1/2x
Move expression to left and change its sign
y+1/2=0
1/4x^2-2y+1/2x=0
Multiply both sides of equation by 2
2y+x=0
1/4x^2-2y+1/2x=0
Sum the equation vertically and eliminate variable (2y)
3/2x+1/4x^2=0
Solve the equation
x=0
x=-6
Substitute the value of x into equation
y+1/2*0 = 0
y+1/2*(-6) = 0
Solve equation for y
y=0
y=3
so the solution is
(x1,y1)=(0,0)
(x2,y2)=(-6,3)
What is (7 / 14) * (b - 6) when b is 7?
Answers
Answer:
1/2
Step-by-step explanation:
Well if b is 7 we plug it into the following equation,
(7 / 14) * (b - 6)
So if b is 7, we do 7-6 which is 1.
Then 7 / 14 which is 1/2.
So 1/2 * 1 is 1/2.
Answer:
1/2 or 0.5 (same thing)
Step-by-step explanation:
If you simplify 7/14, you get 1/2, or 0.5.
Plug in 7 for b. 7-6 is 1, so 1/2 * 1 is 1/2.
what is the average rate of change of f over the interval [-3,9]
Answers
Answer:
According to the graph, f(−3)=3 and f(9)=-7
-7-3/9-(-3)= −10/12
Therefore the answer is -5/6
From Khan
The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.
What is Polynomial? What are exponents? What is the general equation of a straight line? A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.An exponent is a number that is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power. Tis expression means that -[tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
The general equation of a straight line is : y = mx + cwhere : [m] → is slope of line and [c] → is the y - intercept
We have the following function -
f(x) = x³ - 9
The average rate of change would be -
r = {720 - (- 36)}/{9 - (- 3)}
r = 756/12
r = 63
Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.
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[ Complete question -
what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]
What is the interquartile range (IQR) of the data set below?
Answers
Answer:
The Inter Quartile Range is 20.
Step-by-step explanation:
The interquartile range is Q3 - Q1. So first let's find the median (Q2) so we can find Q1 and Q3. Since there is an even amount of numbers, we need to find the average of the middle to numbers. My work is in the attached image.
If this helps, I would appreciate it if you gave me brainliest :)
Answer:
They are right
Step-by-step explanation:
Use the diagram to answer the question. Triangle R S T. Segment R S measures 10 units Segment R T measures 8 units. Angle T is a right angle. What is the measure of ∠R? Enter the correct value rounded to one decimal place, if necessary, like this: 42.5
Answers
Answer:
angle R= 36.869
Step-by-step explanation:
CosR=8/10
cosR=0.8
R= inverse cos (0.8)
R=36.869
The angle R of the triangle RST whose segment RS measures 8 units, angle T is aright angle is 36.87 degrees.
What is a triangle?It is a three sides figure whose angles form a sum of 180 degrees.
What is line segment?It is a line which joins two points on a surface.
How to measure an angle?We know that the sum of angles in a triangle is equal to 180 degrees. We know that the angle RTS is 90 degrees. So firstly we will calculate the angle RST which comes from sin(α)=8/10
sin(α)=0.8
α= Inverse of sin(0.8)=53.13 degrees
Let the angle TRS is x so,
x+53.13+90=180
x=36.87
Hence the measure of the angle R is 36.87.
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In triangle ABC angle bisector AE is equal to EC. Given AC=2·AB, find m∠ABC, in degrees.
Answers
Answer:
m∠ABC = 90°
Step-by-step explanation:
Given that AE = EC, triangle AEC is isosceles. Then the altitude from E to AC at D will be the perpendicular bisector of AC.
We know that AC = 2·AB, so AD = AC/2 = AB. Now, we can show triangles AED and AEB are congruent by SAS, so ...
m∠ABC = m∠ADC = 90°
I made a square frame for my favorite bird picture from four wooden pieces. Each piece is a rectangle with a perimeter of 24 inches. What is the area and perimeter of the picture and frame, together?
I don't mind an undetailed explanation c:
Answers
Answer:
The perimeter of the picture frame is 38.4 in.
The area of the picture frame is 92.6 in.².
Step-by-step explanation:
The given information are;
Perimeter of side piece of picture frame = 24 inches
Length of side piece = L
Width of side piece = W
Perimeter of side piece = 2 × (L + W) = 24
∴ L + W = 24/2 = 12 inches
Dimension of picture frame = Square frame with side length s
Number of side piece in picture frame = 4
Given that the length L > the width W, we have
Side length of wooden frame = L
Also, where the side piece are placed side by side, we have;
Side length of wooden frame = 4 × W
Therefore;
4 × W = L
Which gives
L + W = 12 inches
4 × W + W = 12 inches
W×(4 + 1) = 5·W = 12 inches
W = 12/5 = 2.4 inches
L = 4 × W = 4 × 12/5
L = 48/5 = 9.6 inches Side length of wooden frame, s
The perimeter of the picture frame = 4 × s = 4 × 9.6 = 38.4 in.
The area of the picture frame = s × s = 9.6 × 9.6 = 92.6 in.².
What is the value of this expression when g= -3.57
8- 12g-51
Answers
Answer:
-0.16
Step-by-step explanation:
Since it states g is equal to -3.57, we have to plug in -3.57 into the equation wherever it says g.
[tex]8-12(-3.57)-51[/tex]
We can multiply -12 and -3.57 to get 42.84.
[tex]8+42.84-51[/tex]
Now we can add 8 to 42.84 to get 50.84. Then, we subtract 51 from 50.84 to get our answer, -0.16!
The questions no l and p.
please help me as soon as possible!!!!!
Answers
Answer:
l = 2cosΘ p = see attachment
Step-by-step explanation:
√2+√2+2cos 4Θ
√2+√2(1 + cos 4Θ)
√2 + √2(2 cos² 2Θ)
√2 + √4 cos² 2Θ cos 2Θ = 2 cos²Θ - 1
√2 + 2cos 2Θ
√2(1 + cos 2Θ)
√4cos²Θ
2cosΘ
Answer:
Step-by-step explanation:
I'm only going to do the first one, because the tangent problem is going to give us both night mares.
Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).
cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1
2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2
2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4
(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2
sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2
=====================================
sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS
Use the parabola tool to graph the quadratic function. f(x)=2x^2+4x−16 Brainlest and 35pts plz help me!!!
Answers
Answer:
you would place the y-intercept at (0,-16). and then the coordinates would be (-4,0) and (2,0). and the graph would be facing up or positive .
Step-by-step explanation:
What is the approximate area of the shaded sector in the circle shown below? O A. 25 in2 4.3 in 155 B. 5.82 in2 IC O C. 11.63 in2 D. 50 in2 SUBMIT
Answers
Answer:
D. 25 inch²
Step-by-step explanation:
Area of sector of a circle =(r^2∅) /2
where,
r = radius of the circle
∅= angle subtended by the arc at the center of circle in radians.
Given :
∅ =155°
radius =4.3 in
Convert 155° to radian
πradian=180°
155°=π / 180°*155°
=2.705 radians
Area of sector of a circle =(r^2∅) /2
=(4.3^2 * 2.705) / 2
=(18.49 * 2.705) / 2
=50.01545 / 2
=25.007725 inch²
Approximately 25 inch²
25in^2
hope this helpsss ✓✓✓
Which of the following shows 3 + (x + 6y) rewritten using the Associative Property of Addition? 3 + x + 6y 3x + (6 + y) x + (3 + 6y) (3 + x) + 6y
Answers
Answer:
x + (3 + 6y)
Step-by-step explanation:
This shows that you can regroup the numbers however you want with addition and multiplication, so this is the right answer.
Hope this helps!
How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?
How many gallons of 15% alcohol should be in the mixture? _____ gal
Answers
Answer:
Step-by-step explanation:
Refer https://brainly.com/question/17122506
How can you tell the difference between systems with no solution and infinite solutions?
Answers
Answer:
The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution
The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.
Step-by-step explanation:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
Help ASAP for this question All of the following are equivalent except
0.6 0.06 6% 3/50
Answers
Answer:
0.6
Step-by-step explanation:
0.6 0.06 6% 3/50 are equivalent to
0.6 0.06 6% 6/100. 0.6 is 10 times larger than the other three.
Thus, 0.06 6% 3/50 are equivalent, and 0.6 does not belong to the group.
Consider the function f(x) = x^2 +2\sqrt{x}. Evaluate 2f(2) - f(8).
Answers
Answer:
-56 + 3 sqrt(2) /2
Step-by-step explanation:
f(x) = x^2 +2/sqrt{x}.
2f(2) - f(8).
First find f(2)
f(2) = 2^2 +2/sqrt{2} = 4 + 2/ sqrt(2)
Then f(8)
f(8) = 8^2 +2/sqrt{8} = 64 + 2 / sqrt(4)sqrt(2) = 64+ 2/2sqrt(2) = 64 + 1/ sqrt(2)
2f(2) - f(8).
2 * (4 + 2/ sqrt(2)) - (64 + 1/ sqrt(2))
8 + 4/ sqrt(2) - 64 - 1/ sqrt(2)
Combine like terms
-56 + 3 / sqrt(2)
Rationalizing the second term
-56 + 3/ sqrt(2) * sqrt(2)/sqrt(2)
-56 + 3 sqrt(2) /2
____________ are events whose outcomes are not affected by the outcomes of the other event(s). a) Complementary events b)Primary events c)Independent events big d) Dependent events'
Answers
Answer:
independent events
Step-by-step explanation:
they dont depend on other events anyhow
Answer:
Independent events.
Step-by-step explanation:
Function f is given by the table of values shown.
x|0|1|2|3
f(x)|7|0|-5|-8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.
Answers
Answer:
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8
Step-by-step explanation:
When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).
Given the following table ...
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.
The values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given a function f(x) and a table where the values of f(x) at different values of x is given.
The table for the values is as follows:
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 |-5 | -8
We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.
When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.
For g(x):
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
Hence, the values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
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find the height of trapazium in which parallel side are 26 cm and 60 cm
Answers
Answer:
no solution
Step-by-step explanation:
It does not work because you need the area as well as the parrallel sides to find the height.
explain the importance to count change
Answers
When the power goes out, they can handle it. You don’t want to have to close down the shop just because counting change back manually is too hard for your team!
It’s more accurate. Clerks can use it to double check.
Employees can fix mistakes. Say a purchase was $2.36. If the customer gives the clerk a fifty but the clerk enters $5 into the cash register by accident, she can figure out the change due on her own.
How to Count Change
Counting change back to a customer is actually pretty easy when you understand what you’re doing.
There are a couple of ways you can count change. First, you can read the number on the cash register and count that amount to the customer. This ensures you grabbed said amount. Second, you can count up from the sale total. This ensures the customer actually gets the right change back.
The number on the cash register:
If you count the the number on the cash register, all you’re really doing is ensuring that you got that amount from the register. But what if you entered the amount incorrectly to begin with? Then your cash register’s displayed amount will be wrong and so will the amount you hand to the customer.
Counting up from the amount tendered:
There is no way you can go wrong with this method. Let’s say the total is $7.38. The customer hands the clerk a twenty. She doesn’t have to know what the change is going to be – she doesn’t have to do any subtraction. All she needs to do is count up from $7.38.
Steps to Count Change
1. Start with the pennies to reach a multiple of 5 or 10.
2. Next use a nickle or a dime as you get to a multiple of 25.
3. Use quarters until you reach a dollar.
4. Use one dollar bills until you reach a multiple of 5 or 10.
5. Use five dollar bills until you reach 10 or ten dollar bills until you reach 20.
Can someone explain the answer? I really need help!
Answers
Answer:
6. b.
7. b.
8. c.
Step-by-step explanation:
6. The 3 expands the graph vertically by factor 3; -3 reflects across the y-axis and - 1 moves the graph 1 down.
7. The 1/2 expands it horizontally by a factor 2, the -1 moves it 1 right and the + 5 moves it 5 up.
8. The + 3 translates the graph 3 units up.