Answer:
13, 7, 60, 71, 42, 29, 21, 66, 69, 22.
Step-by-step explanation:
Hope it's helpful
Farmer Froph put 94 pounds of grain into bins C, X and K. The ratio of weight of flour in C to weight of flour in X was 4:6. The ratio of weight of flour in X to weight of flour in K was 4:9. How many pounds of grain did she put in bin C?
(Please help, includes photo)
Therefore, Farmer Froph put 26 pounds of grain in bin C.
What is ratio?A ratio is a way of comparing two or more quantities or values of the same type. It expresses the relationship between two or more values and represents the proportion of one value to the other(s). Ratios can be expressed in several ways, including as fractions, decimals, or percentages. Ratios are used in various fields of mathematics, science, finance, and everyday life to compare and analyze different quantities, such as prices, distances, speeds, weights, and many more. Ratios are often simplified by dividing both terms of the ratio by their greatest common factor to express them in their simplest form.
Here,
Let's denote the weight of grain that Farmer Froph put in bin C, X, and K as c, x, and k, respectively. We know that:
c + x + k = 94 ...(1)
We also know that the ratio of the weight of flour in bin C to the weight of flour in bin X is 4:6. This means that:
c/4 = x/6
Multiplying both sides by 4*6=24, we get:
6c = 4x
or
x = (3/2)c
Similarly, we know that the ratio of the weight of flour in bin X to the weight of flour in bin K is 4:9. This means that:
x/4 = k/9
Substituting x = (3/2)c from the first equation, we get:
(3/2)c/4 = k/9
Multiplying both sides by 4*9=36, we get:
9c = 8k
Now we have three equations with three variables. We can solve for c by using any two equations. Let's use equations (1) and (2):
c + x + k = 94
c + (3/2)c + k = 94
Simplifying, we get:
(5/2)c + k = 94
Substituting k = (9/8)c from equation (3), we get:
(5/2)c + (9/8)c = 94
Multiplying both sides by 8, we get:
20c + 9c = 752
Simplifying, we get:
29c = 752
Dividing both sides by 29, we get:
c = 26
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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
it's none of the above its 27.5
What is a density of an object that has a mass of 100g and a volume of 20cm3
Answer:
5g/cm^3
Step-by-step explanation:
DENSITY=mass/volume
=100/20
=5g/cm^3
So the density is 5g/cm^3
Using f(x) = 2x - 3 and g(x) = 5, find f(g(3)).7530None of the choices are correct.I don’t think my answer is right please help me thank you
As per given by the question,
There are given that function,
\(\begin{gathered} f(x)=2x-3,\text{ } \\ g(x)=5 \end{gathered}\)Now,
Find the value of f(g(3)).
Then,
There are given that,
\(g(x)=5\)And,
According to question, value of x is 3, that means g(3).
So,
Put the value of x in g(x).
Then,
\(\begin{gathered} g(x)=5 \\ g(3)=5 \end{gathered}\)Now,
For find the value f(g(3));
Put the value of g(3) in the above condition,
f(g(3)).
So,
\(f(x)=2x-3\)Instead of x in f(x), put the g(3).
Then,
\(\begin{gathered} f(g(3))=2x-3 \\ f(5)=2\times5-3 \\ f(5)=10-3 \\ f(5)=7 \end{gathered}\)So, the value of f(g(x)) is 7.
Hence, the option first is correct.
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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Let f (x) = log2(x) + 2 and g(x) = log2(x3) – 4.
Part A: If h(x) = f (x) + g(x), solve for h(x) in simplest form. (4 points)
Part B: Determine the solution to the system of nonlinear equations. (6 points)
The function h(x) in its simplest form is \(h(x) = 4log_2(x)- 2\)
The functions are given as:
\(f(x) = log_2(x) + 2\)
\(g(x) = log_2(x^3) - 4\)
(a) Function h(x)This is given as:
\(h(x) = f(x) + g(x)\)
So, we have:
\(h(x) = log_2(x) + 2 + log_2(x^3) - 4\)
Collect like terns
\(h(x) = log_2(x) + log_2(x^3)+ 2 - 4\)
\(h(x) = log_2(x) + log_2(x^3)- 2\)
Apply law of logarithm
\(h(x) = log_2(x \times x^3)- 2\)
\(h(x) = log_2(x^4)- 2\)
Apply law of logarithm
\(h(x) = 4log_2(x)- 2\)
Hence, function h(x) in its simplest form is \(h(x) = 4log_2(x)- 2\)
(b) System of nonlinear equationsThe equations are not given.
So, the question cannot be solved
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help
A pizza is cut into ten slices. How many slices are there in six pizzas?
On the double number line below, fill in the given values, then use multiplication o
division to find the missing value:
slices
pizzas
There are 60 slices in 6 pizzas. Submit Answer
attempt 1 out
Answer:
60 slices
Step-by-step explanation:
1 pizza = 10 slices
6 pizzas = 10 slices * 6 = 60 slices
Analyze the diagram below and complete the instructions that follow.
42
40
A
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2√√41
B. 4√√29
C. 48
D. 58
Mark this and return
Save and Exit
Next
Submit
The length of unknown side x is 58.
The correct answer is option D.
To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let x be the hypotenuse. Applying the Pythagorean theorem, we have:
\(x^2 = 42^2 + 40^2\)
Simplifying:
\(x^2\) = 1764 + 1600
\(x^2\)= 3364
Taking the square root of both sides to solve for x:
x = \(\sqrt{3364}\)
Simplifying the square root:
x = (\(\sqrt{4 * 841)}\)
Since 841 is a perfect square (\(29^2\)), we can further simplify:
x = 2 * 29
x = 58
Therefore, the unknown side length, x, is equal to 58.
From the options provided the correct option is D.
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9x-2+52=180
it is to hard
9x-2+52=180
That's the answer
Answer:
14.44444444444444444444444444444444444
Step-by-step explanation:
9x - 2 + 52 = 180
simplify
9x +50 = 180
9x = 130
14.4444444444
FIND THE DOMAIN AND RANGE(Algebra 1)
The function's domain and range are (-3, -3, 2, 4) and (-2, 7, 1, 6) correspondingly.
Equation domain and rangeThe value of the independent function for which the function exists is referred to as the function's domain.
The value of the dependant function, for which the function exists, is referred to as the function's range.
The values in the x-column of the provided table are the domain, and the values in the y-column are the range.
The domain are shown in the table as (-3, -3, 2, 4) and the range as R = (-2, 7, 1, 6) Visit this link to learn more about domain and range: brainly.com/question/10197594
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Horacio is solving the equation-3/4 + 2/5x = 7/20x -1/2. Which equation represents possible ways to begin solving for x?
The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2
Which equation represents possible ways to begin solving for x?From the question, we have the following parameters that can be used in our computation:
-3/4 + 2/5x = 7/20x -1/2
The first step is to collect the like terms
So, we have
2/5x - 7/20x = 3/4 - 1/2
This represents an equation of the possible way to begin solving for x
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Assume that each circle shown below represents one unit.express the shaded amount as a single fraction and as a mixed number
One fraction :
Mixed number:
The shape is represented as below
As one fraction = 9/4As a mixed number = 2 1/4How to represent the figure as a fractionThe figure is of three shapes, the firs two are whole numbers then the last is a fraction.
Adding them results to
shape 1 + shape 2 + shape 3
1 + 1 + 1/4
As one fraction
= 9/4
as a mixed number
= 2 1/4
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Evaluate: 13.5+14.5×3.1
Answer:
58.45
Step-by-step explanation:
Use BIDMAS
14.5 X 3.1 = 44.95
44.95 + 13.5 = 58.45
Answer:
58.45
Step-by-step explanation:
Lmk.................
Answer:
A) 8t
Step-by-step explanation:
I hope this helps :)
Evaluate the following expression 6 ^-3
Answer:
1/216
Step-by-step explanation:
Answer:
Exact form = 1/216.
Decimal form = 0.004629
Find the measure of BC
Using central angle theorem,
The measure of the arc BC = 110°.
Define central angle?An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.
Here in the question,
As per the central angle theorem:
(2x -30) ° + x° = 180°
⇒ 2x - 30 + x = 180
⇒ 3x - 30 = 180
Adding 30 on both sides:
⇒ 3x = 180 + 30
⇒ 3x = 210
Dividing both sides by 3.
⇒ x = 70°
Now BC = 2x-30
= 2 × 70 -30
= 140 - 30
= 110°
Therefore, the measure of BC = 110°.
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Calculate the following scenario for a simple interest loan.
principal amount of 3000
interest rate of 15%
12 monthly installments
what is the amount of monthly payments
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The amount of monthly payments is $287.5.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = (PRT)/100
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
Given the following details about the simple interest loan as,
Principal amount, P = $3,000
Interest rate, r = 15%
Number of instalments = 12
Since there are 12 instalments each for a month, therefore, the time period for which the loan was there is 1 year.
Now, the interest for 1 year will be,
Interest amount = ($3,000 × 1 × 15)/100
= $450
Further, the total amount that is needed to be paid back is the sum of the principal amount and Interest amount.
Amount needed = $3,000 + $450
= $3,450
Moreover, there are 12 instalments, therefore, the number of monthly payments will be,
Monthly payment = $3,450/12 = $287.5
Hence, the amount of monthly payments is $287.5.
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it is due today, please help me. If you just want points get out of my question page...
To completely solve the problem, Karim should convert the product back into standard decimal notation.
We cannot directly apply the product of powers property because the binomial is not raised to a power itself.
Miscellaneous problem(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).
0.0258 × \(10^{-8\) = 0.0258 × 0.00000001
= 0.000000000000258
(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.
In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.
To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.
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4x+5(7x-3)=9(x-5)
x????
Answer:
x=-1
Step-by-step explanation:
4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1
Answer:
\( \sf \: x = - 1\)
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30 ÷ 30
→ [ x = -1 ]
Hence, the value of x is -1.
table represents an exponential function.
What is the interval between neighboring
x-values shown in the table?
What is the ratio between neighboring y-values?
The interval between neighboring x value is 1
the ratio between neighboring y-values 1
How to find the interval between neighboring x valueTo find interval between neighboring x value, we subtract as follows
interval = 2 - 1 = 3 - 2 = 4 - 3 = 5 - 4 = 1
To find the ratio between neighboring y-values, we divide
ratio = 4 / 1 = 16/4 = 256 / 16 = 1024 / 256 = 4
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complete question
The table below represents an exponential function.
x
1
2
3
4
5
y
1
4
16
256
1,024
What is the interval between neighboring
X-values shown in the table?
What is the ratio between neighboring y-values?
=
Find the slope of the graph of — 4x + 2y = 10 by
rewriting the equation in slope-intercept form.
Answer:
multiply by -1
Step-by-step explanation:
Slope intercept form : y = mx + b
-4x + 2y = 10 Solve the equation for y
+4x = +4x
2y = 4x + 10
y = 4x/2 + 10/2 Divide all terms by 2
multiply by -1 Simply
30÷11
\(30 + 1\)
Please help me I need help
Answer:
what do you need help on???
Step-by-step explanation:
do you wanna know the alphabet ?
ABCDEFGHIJKLMNOPQRSTUVWXYZ
do u wanna know how to count to ten?
one , two ,three ,four ,five ,six ,seven ,eight ,nine,ten
Do u wanna know how to say hi in spanish?
Hola
Do u wanna know how old Beyonce is?
39
Can someone explain how to simplify rational expressions in a simple way I don't understand thanks :(
As the temperature outside increases, more people wear shorts and fewer people carry jackets. The correlation between temperature and wearing shorts is _________. The correlation between temperature and carrying a jacket is _________
Answer:
Positive . ; Negative.
Step-by-step explanation:
Correlation refers to the type and strength of relationship between two variables, the type of correlation between two variables may be either negative or positive. Negative correlation exists when an increase in one variable leads to a decrease in the other while positive correlation occurs when an increase or decrease in one variable leads to a corresponding increase or decrease in the other variable.
Therefore, increase in outside temperature leads to more people wearing shorts shows a positive relationship between temperature and wearing shorts while a negative relationship exists between temperature and carrying jackets as carrying jackets decreases as outside temperature increases.
What are two numbers that round to 130 when rounded to the nearest tenth
Two numbers that equal 130 when rounded by the nearest tenth are 129 and 131
Construct the fourth proportional between a, b, and c.
The fourth proportional {x} between a, b, and c can be written as {x} = (ac/b).
What are proportional parameters? What is a mathematical function, equation and expression? proportional parameters : A proportional relationship is one in which two quantities vary directly with each other.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given are three length parameters as [a], [b] and [c].
For the fourth proportional {x}, the relationship can be written as -
a/x = b/c = k {constant}
x = (ac/b) = k {constant}
Therefore, the fourth proportional {x} between a, b, and c can be written as {x} = (ac/b).
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I need help please. Thanks in advance.
Answer:
Angle KLN = 125 degrees
Angle NLM = 55 degrees
Step-by-step explanation:
Angle KLM is a straight angle; it must be 180 degrees. We can write the equation (10x-5)+(4x+3)=180, based on this statement. Because the order of operation does not apply to addition and subtract, we can remove the paratheses and combine like-terms. 10x+4x-5+3=180 can be simplified to 14x-2=180. Upon solving this equation, we get x=13. We now must plug 13 in for x in both of the original angle measurements. When x=13 in (10x-5), we get 125. When x=13 in (4x+3), we get 55. :)
Answer:
m < KLN = 125°
m < NLM = 55°
Step-by-step explanation:
Given that < KLM is a straight angle:
Then it means that the sum of the measures of < KLN and < NLM = 180°.
Thus, we can setup the following equation to find their measures:
m < KLN + m < NLM = 180°
where m < KLN = (10x - 5)°
m < NLM = (4x + 3)°
Substitute these values into the formula:
m < KLN + m < NLM = 180°
10x - 5 + 4x + 3 = 180°
Combine like terms:
14x - 2 = 180°
Add 2 on both sides of the equation:
14x - 2 + 2 = 180° + 2
14x = 182
Divide both sides by 14 to solve for x:
\(\frac{14x}{14} = \frac{182}{14}\)
x = 13°
We can substitute x = 13° into the given values of each angle to determine their actual measures:
m < KLN = [10(13) - 5]° = 130 - 5 = 125°
m < NLM = [4(13) + 3]° = 52 + 3 = 55°
Double-check to see whether the measures of these two angles add up to 180°:
m < KLN + m < NLM = 180°
125° + 55° = 180°
180° = 180° (True statement). Therefore, our derived answers were correct.
HELP EASY IF YOU KNOW SPANISH
Answer:
14 is "Yo tengo"
15 is Qué tienes en tu mochila?
The sum of the reciprocals of 2 consecutive intergers is 5/6. Find the numbers
hmmmm let's say our numbers are "a" and "b", but we know they're consecutive integer, therefore "b" is either a-1 or a+1, hmm let's use the latter
a = first integer
a+1 = second integer
we know their reciprocals add up to 5/6, so
\(\begin{cases} a\\ a+1 \end{cases}\qquad \stackrel{\textit{sum of their reciprocals}}{\cfrac{1}{a}+\cfrac{1}{a+1}}=\cfrac{5}{6}\)
let's use the LCD of (a)(a+1)(6) and multiply both sides by it, to do away with the denominators
\(6a(a+1)\left[ \cfrac{1}{a}+\cfrac{1}{a+1} \right]=6a(a+1)\left[ \cfrac{5}{6} \right] \\\\\\ 6(a+1)+6a = 5a(a+1)\implies 6a+6+6a=5a^2+5a \\\\\\ 12a+6=5a^2+5a\implies 0 = 5a^2-7a-6\implies 0 = (a-2)(5a+3) \\\\\\ \begin{cases} 2=a&\textit{\large \checkmark}\\ -\frac{3}{5}=a&\textit{not an integer} \end{cases}~\hfill \begin{cases} a &= 2\\ a+1 &= 3 \end{cases}\)