A store owner sells a mix that is 45% cashew nuts. How many pounds of cashews should he add to 36lb of this mix to get a mix that is 60% cashews
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Answers
To make this mixture 60% cashews, 240 pounds of cashews must be added to 36 pounds of this mixture.
Explain the term proportion?Comparing two integers that each stand for a component of a whole results in a proportion. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10.For the stated question-
Let the total amount of mix be 'x'.
45% of the mix is cashew nuts: 0.45x.
Now, 60% cashews is made by making 36 lb; 0.60x.
Then, 0.45x + 36 = 0.6x
x = 36/0.15
x = 240
Thus, 240 pounds of the cashews should be added to 36lb of this mix to get a mix that is 60% cashews.
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Related Questions
plz help quickly........................................
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Answer:
the median is increased from 7 to 7.5
write a paragraph proof given bcec and acdc
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The paragraph proof has been explained below to prove that Line BA = Line ED.
We are given;
BC = EC
AC = DC
This means that C is the midpoint of BE and AD.
We need to proof that Line BA = Line ED.
Thus, according to vertically opposite angles theorem, we can say that;
m∠DCE = m∠ACB
This means we now have 2 corresponding sides that are equal and the included corresponding equal angle.
Therefore, we can deduce that ΔABC ≅ ΔDEC with SAS (Side-Angle-Side) congruency theorem.
Now, since ΔABC ≅ ΔDEC, we can say from (CPCTC) that AB = DE due to the fact that corresponding parts of congruent triangles are also congruent.
Therefore, the paragraph proof has been explained below to prove that Line BA = Line ED.
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Cual es la pendiente de la recta qué pasa por los puntos (-2,4) y (1,7)
Answers
The slope of the line passing through the points (-2,4) and (1,7) is 1.
To find the slope of a line passing through two points, we can use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Given the points (-2,4) and (1,7), we can substitute the coordinates into the formula:
m = (7 - 4) / (1 - (-2))
= 3 / 3
= 1
Therefore, the slope of the line passing through the points (-2,4) and (1,7) is 1.
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Need help on this question pls help!!!!!!!
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Explanation for mean:
There are 15 dots total throughout 5 lines. 15/5=3. For the mean you add up the total number of dots and divide it by the amount of categories.
What is 7 x 7 x 7 written using an exponent?
Answers
Answer:
7x7x7=7^3
Step-by-step explanation:
Round each decimal to the place indicated. 9. 275.635 to the nearest tenth 10. 72.789 to the nearest hundredth
Answers
Answer:
9.3, 10.79
Step-by-step explanation:
If f(x) = ln(x), what is the transformation that occurs if g(x) = ln(x + 2)
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The transformation from ln ( x ) to ln ( x + 2 ) is horizontal transformation or shift.
What kinds of functions can be transformed?
Transformations can be divided into three categories: translations, reflections, and dilations. There are two types of transformations that can be done to a function: vertical (which affects the y-values) and horizontal (affects the x-values).
The four transformation variables are included in the equation of a function that is shown below (a, b, h, and k).
f(x) = ln(x)
if g(x) = ln(x + 2)
Then,
The transformation from ln(x) to ln(x+2) is horizontal transformation or shift. As 2 units are added in g(x) the function is horizontally shifted by 2 units in left-hand direction.
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Hi dear! Can you help me to solve exercise #19 please!!!
Answers
First, set up the division problem, that is,
Now, since
\(x^3\)divided by x is
\(x^2\)we have
or equivalently
Since the remainder is -x-9 and its degree is less than 2 (which is the degree of the divisor), then we have that
so, the answer is:
\(\frac{x^3-9}{x^2+1}=x-\frac{x+9}{x^2+1}\)
I need help with this please help me
Answers
Answer:
67.38
Step-by-step explanation:
134.76/2 = 67.38
May I please have brainliest for this? Thank you!
Nngdyjjgdeujjjhhh yffggyhvd of gfuff
Answers
Answer:
8x3 to the 6th degree minus 4th5 odd one under.
Step-by-step explanation:
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Write two linear functions, f(x) and g(x). For example, f(x)=
3x-7-and glx) = -2x+5. Then see whether f(x)= (-g(x)) is equivalent to f(x) + g(x) hint : To find -g(x), just change the signs of all the terms in g(x). Discuss whether you think your results would apply to every function.
Answers
The most appropriate choice for functions will be given by -
f (x) - (-g(x)) = f(x) + g(x) holds for f(x)=3x-7-and g(x) = -2x+5.
f (x) - (-g(x)) = f(x) + g(x) holds for every functions
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
For f(x) - (-g(x))
-g(x) = -(-2x + 5)
= 2x - 5
f (x) - (-g(x)) = (3x - 7) - (2x - 5)
3x - 7 - 2x + 5
x - 2
For f(x) + g(x)
f(x) + g(x) = (3x - 7) + (-2x + 5)
= 3x - 7 - 2x + 5
= x - 2
So f (x) - (-g(x)) = f(x) + g(x) holds here
Since addition and subtractions can be done on functions,
f (x) - (-g(x)) = f(x) + g(x) holds for every functions.
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What is the surface area of the cone?
Answers
Answer:
V=1/3*pi*radius(to the power of two)*height
Answer: 14 in squared
Drawing a number divisible by 3 then drawing a 1
Answers
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
What is the parallel slope of m= -2
Answers
The answer is -2... the slopes of parallel lines are equal
solve the equation: 4 x 2 + 8 = - 7
X=
Answers
Answer:
Hope the picture will help
\(\frac{16}{7}\)Answer:
X = -16/7
Step-by-step explanation:
Multiply the numbers
4 x 2 + 8 = -7x
8 + 8 = -7x
Add the numbers
8 + 8 = -7x
16= -7x
Divide both sides by the same factor
16= -7x
16 divided bu -7x and -7x divided by -7x
Simplify
-16 divided by 7 not negative 7 and -7 divided by -7
Cancel terms that are in both the numerator and denominator
cancel out -7 divided by -7 and you get -16/7 left
so, therefore x= -16/7
1)Create a table showing the possible numbers of positive real, negative real, and complex zeros of f(x) = -7x - 12x + 9x - 17x + 3
PLEASE HELP! 20 POINTS! PIC OF TABLE BELOW!
Answers
Answer:
Here's a table showing the possible numbers of positive real, negative real, and complex zeros of the given polynomial function:
Number of Positive Real Zeros Number of Negative Real Zeros Number of Complex Zeros
0 3 2
In this case, the polynomial function f(x) = -7x^4 - 12x^3 + 9x^2 - 17x + 3 has no positive real zeros, three negative real zeros, and two complex zeros.
Step-by-step explanation:
GIVE ME BRAINLIEST PLS
Brainliest to the most elaborated answer
Answers
Answer:
The answer is that you have to find tan x which is by slanted by o,n,2
Step-by-step explanation:
Which measure of the ages has the greatest value?
A- mean
B- median
C- mode
D- range
Answers
please help me . i'm trying to get my grades up and i'm struggling
Answers
Answer:
D
Step-by-step explanation:
just took that test
A map is drawn using a scale of 40 kilometers to 1 centimeter. The distance between two cities is 300 kilometers. How far apart are the two cities on the map?
Answers
Answer:
7.5 cm
Step-by-step explanation:
40:1
× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm
sorry if its incorrect
What are the numbers I’m supposed to mark
Answers
Answer:
12 ÷(15) = -2
-15 ÷(-3) = 5
Answer:
12 divided by -6 is -2
-15 divided by -3 is 5
Step-by-step explanation:
a positive and a positive equals positive
a negative and a negative equals a positive
a negative and a positive equals a negative
this only works for multiplication and division
hope this helps
Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
Answers
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
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The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
Answers
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Toby began making a grilled cheese sandwich at 1:48 P.M. The sandwich was ready at
1:53 P.M. How long did it take Toby to make the sandwich?
Answers
Answer:
5 minutes he took to grill the sandwich
Answer:
5 mins
Step-by-step explanation:
53-48=5
A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.
How many employees took a break longer than 49 minutes?
Help please!
Note: Put the correct answer! I don't want to get this wrong!
Thank you <3
Answers
Approximately 7 employees took a break longer than 49 minutes.
We have,
In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.
The line within the box represents the median.
The "whiskers" extend to the minimum and maximum values, excluding any outliers.
Given the information provided:
Median = 41
Q1 = 37
Q3 = 49
Largest = 55
Smallest = 35
Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.
Now,
The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:
25% of 27 employees
= (25/100) x 27
= 6.75
Since we cannot have a fractional number of employees, we round up to the nearest whole number.
Therefore,
Approximately 7 employees took a break longer than 49 minutes.
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Subtract 7y +10 from 4y -5
Answers
Answer:
-3y + 5
Step-by-step explanation:
If we are subtracting 7y+10 from 4y-5, then we set up the equation like this: 4y-5 - 7y+10.
4y - 7y is -3y and -5 + 10 is 5.
This means that the the answer is -3y + 5. We cannot simplify any further because they did not give a value for y.
A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
Answers
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
Find the exact solutions of the equation in the intervals [0,2pi)(Enter your answers as a comma separated list)4 sin 2x sin X = 4 cos xX= ?
Answers
Step 1
Subtract 4cosx from both sides
\(4\text{sin}2\text{x.sinx}-4\cos x=4\cos x-4\cos x\)Simplify
\(4\text{sin}2\text{x.sinx}-4\cos x=0\)Step 2
Rewrite using trigonometric identities
\(\begin{gathered} \sin 2x=2sinx.\cos x \\ 4(2\sin x\text{cosx})(\sin x)-4\cos x=0 \\ 8\sin ^2(x)\cos (x)-4\cos (x)=0 \end{gathered}\)Step 3
Factorize
\(8\sin ^2(x)\cos (x)-4\cos (x)=4\cos (x)(\sqrt[]{2}\sin (x)+1)(\sqrt[]{2}\sin (x)-1)_{}\)\(\begin{gathered} 4\cos \mleft(x\mright)\mleft(\sqrt{2}\sin \mleft(x\mright)+1\mright)\mleft(\sqrt{2}\sin \mleft(x\mright)-1\mright)=0 \\ \end{gathered}\)Solve separately for x
\(\begin{gathered} 4\cos x=0 \\ x=\cos ^{-1}(0) \\ x=90\text{ and }270\text{ within the range \lbrack{}0,2}\pi) \\ In\text{ radians }90^o\text{ = }\frac{\pi}{2},270^o=\frac{3\pi}{2} \\ \\ \end{gathered}\)\(undefined\)Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. The sample standard deviation is 7.309. Adam reads that the average speed that cars drive on the highway is 65 mph. t equals fraction numerator x with bar on top minus mu over denominator begin display style bevelled fraction numerator s over denominator square root of n end fraction end style end fraction The t-test statistic for a two-sided test would be __________. Answer choices are rounded to the hundredths place.
Answers
Answer:
The t-test statistic is \(t = -0.697\)
Step-by-step explanation:
The test statistic is:
\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the expected mean, \(\sigma\) is the standard deviation and n is the size of the sample.
The sample standard deviation is 7.309.
This means that \(\sigma = 7.309\)
Adam reads that the average speed that cars drive on the highway is 65 mph.
This means that \(\mu = 65\)
60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph.
8 values, so \(n = 8\)
The sample mean is:
\(X = \frac{60.5 + 63.2 + 54.7 + 51.6 + 72.3 + 70.7 + 67.2 + 65.4}{8} = 63.2\)
Test statistic:
\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(t = \frac{63.2 - 65}{\frac{7.309}{\sqrt{8}}}\)
\(t = -0.697\)
The t-test statistic is \(t = -0.697\)