I thought of a number. from ²/₇ parts of that number I subtracted 0,4 and got ⅗. The number is: A: ²⁄₇ B: ⅖ C: 3,5D: 4,5
Answers
Note : The use of comma as number separator represent point in this solution
Step 1: Let the number be x, thus, 2/7 parts of the number means
\(\frac{2}{7}x\)Step 2: Subtract 0,4 from 2/7 parts of x
\(\frac{2}{7}x-0,4\Rightarrow\frac{2}{7}x-\frac{4}{10}\)Step 3: Equate the expression above to 3/5
\(\frac{2}{7}x-\frac{4}{10}=\frac{3}{5}\)Step 4: Simplify the equation above
\(\begin{gathered} \frac{2}{7}x-\frac{4}{10}=\frac{3}{5} \\ \frac{20x-28}{70}=\frac{3}{5}(\text{cross multiply)} \\ 5(20x-28)=70(3) \\ 100x-140=210 \\ 100x=210+140 \\ 100x=350 \\ \frac{100x}{100}=\frac{350}{100}(\text{Divide both side by 100)} \\ x=3,5 \end{gathered}\)Hence, the number is 3,5
Option C is correct
Related Questions
in a single power what is the answer to the following:
5 to the power of 3 divided by 5 ?
3 to the power of 6 divided by 3 ?
Answers
Answer:
a-25
b-243
5^3 = 125/3 = 25
3^6 = 729/3 = 243
125/5=25
3x3x3x3x3x3=729
729/3=243
ANSWER FAST!!!
1) which family member ate the most pizza?
2) if the company offered an extra large pizza, how could you find out how much of it a person ate if they cut their own piece with a central angle of M?
Answers
1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter
2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°
How to calculate the valueAndy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.
This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.
The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.
2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:
Percentage of pizza eaten = (M° / 360°) * 100%
For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.
Percentage of pizza eaten = (180° / 360°) * 100% = 50%
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Find the slope of p1 =( 7,-6) p2 = (- 9, 3)
Answers
Answer:
-9/16
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-6))/(-9-7)
m=(3+6)/-16
m=9/-16
Which of the following is a false statement? *
A. Natural numbers are closed under division.
B. Integers are closed under subtraction.
C. Even numbers are closed under multiplication.
D. Real numbers are closed under addition.
Answers
Answer:B
Step-by-step explanation:
Find the product:
(10z-3)2
Answers
Answer:
20z-6
Step-by-step explanation:
Distribute the 2 to each of the numbers inside the parentheses.
10z and -3 are the two numbers, each multiplied by 2 is 20z and -6. No further simplification is possible
-3 times (7+(-3) to the second power) divided by 3
Answers
Answer:
-18
Step-by-step explanation:
Landon was taking a math test he finished 1/2 of the test in 357 hour how much of the test will he have done in one hour if he keeps the same pace
Answers
Answer: 1/714
Step-by-step explanation: Think about it
did you mean 3 hours and 57 minutes ?
Question 2 of 5 Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Complete the table of inputs and outputs for the given function. g(x) = -4x-1
Answers
Answer:
-2 | 7
0 | -1
3 | -13
-1 | 3
Step-by-step explanation:
i just did this question
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
Answers
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)
Answers
By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 5 2 -2
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 5)/(0 - 3)
Slope (m) = -9/3
Slope (m) = -3
At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = 3(x - 3)
y + 5 = -3(x - 3)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What proportion could you use to
find the value of x?
Answers
Answer:
short leg : long leg
x : 11 = 3 : x
Step-by-step explanation:
short leg : long leg
x : 11 = 3 : x
\(\implies \sf \dfrac{x}{11}=\dfrac{3}{x}\)
\(\implies \sf x^2=33\)
\(\implies \sf x=\sqrt{33}\)
Answer:
3/x=x/11
Step-by-step explanation:
Which decimal represents 8 X 1,000 + 4 X 100 + 7 X7 16 +31,0001,0A 8,004.073C 8,400.703B 8,040.073D 8,400.730
Answers
The given expression:
\(8\times1000+4\times100+7\times\frac{1}{10}+3\times\frac{1}{1000}\)Simplify the expression:
\(\begin{gathered} 8\times1000+4\times100+7\times\frac{1}{10}+3\times\frac{1}{1000}=8000+400+0.7+0.003 \\ 8\times1000+4\times100+7\times\frac{1}{10}+3\times\frac{1}{1000}=8400.703 \end{gathered}\)Answer : c) 8400.703
pls simplify these two problems:
Answers
Answer:
Step-by-step explanation:
1 )
\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)
2 )
\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)
Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answers
Answer:
Answer 1008
Step-by-step explanation:
45 degrees+2k+k=180
can you help me with this?
Answers
Answer:
k=45
Step-by-step explanation:
45+2k+k=180
Step 1: Simplify both sides of the equation.
45+2k+k=180
(2k+k)+(45)=180(Combine Like Terms)
3k+45=180
3k+45=180
Step 2: Subtract 45 from both sides.
3k+45−45=180−45
3k=135
Step 3: Divide both sides by 3.
3k/3=135/3
k=45
If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?
Answers
Answer:
5x-8=2x-6
Step-by-step explanation:
It’s a property but I forgot which one.
geometry need help asap
Answers
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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8/9 - 1/3 equals what
Answers
Explanation: Start by making them have common denominators by multiplying the numerator and denominator by 3, so now its 8/9-3/9 then 8-3=5 so the answer is 5/9.
what is the value of \(\frac{1}{3}\)\(x^{2}\) + 5.3y when x = 5 and y = 1
Answers
You substitute in the variables!
![what is the value of [tex]\frac{1}{3}[/tex][tex]x^{2}[/tex] + 5.3y when x = 5 and y = 1](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/k6zfhgQz5ZlRd6T28apkON4oj9vJtL0L.png)
Evaluate the function f(x)= x^2 + 2x + 8 at the given values of the independent variable and
simplify.
a. f(6)
b. f(x+4)
c. f(-x)
Answers
f(6) = (6)² + 2(6) + 8
f(6) = 36 + 12 + 8
f(6) = 56
Question b:
f(x+4) = (x+4)² + 2(x+4) + 8
f(x+4) = x² + 8x + 16 + 2x + 8 + 8
f(x+4) = x² + 10x + 32
Question c:
f(-x) = (-x)² + 2(-x) + 8
f(-x) = x - 2x + 8
By evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.
It is required to find the solution.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The function f(x)= x^2 + 2x + 8
According to given question we have,
By put the value of x=6 in the function f(x) we get,
Evaluating the function f(6):
f(6) = (6)² + 2(6) + 8
f(6) = 36 + 12 + 8
f(6) = 56
By put the value of x=x+4 in the function f(x) we get,
Evaluating the function f(x+4):
f(x+4) = (x+4)² + 2(x+4) + 8
f(x+4) = x² + 8x + 16 + 2x + 8 + 8
f(x+4) = x² + 10x + 32
By put the value of x=-x in the function f(x) we get,
Evaluating the function f(-x):
f(-x) = (-x)² + 2(-x) + 8
f(-x) = x - 2x + 8
Therefore, by evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.
Write an equation of the line that passes through (4, 5) and is perpendicular to the line y = -4x+6.
An equation of the perpendicular line is y=
Answers
5 = -1/4 x 4 + c
5 = -1 + c
c = 6
y = -1/4 + 6
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answers
Answer:
224
Step-by-step explanation:
360.-136.
Which statements are true? Select all that apply.
Answers
Answer:
A,B, D
Step-by-step explanation: I just took that test and i got it right
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
Answers
The differences are: -9, 22, 0, -19, -105, 24, -46, -8, -5, -8, -8
The mean of the differences is: -9.5
The standard deviation of the differences is: 38.3
To calculate the 99% confidence interval, we use the formula:
(mean difference) +/- (t-value) * (standard deviation of differences / square root of sample size)
The sample size is 11, so the degrees of freedom are 10. Using a t-table with 10 degrees of freedom and a 99% confidence level, we find the t-value to be 3.169.
Plugging in the values, we get:
-9.5 +/- 3.169 * (38.3 / sqrt(11))
Which simplifies to:
-9.5 +/- 23.5
Therefore, the 99% confidence interval for the difference in means is (-33, 14).
What is (2x)(3x) in words but not explaining how to get the answer?
Answers
The number (2x)(3x) in the word will be two time the variable multiplied the three times the variable.
What is termed as the variable?A variable is a property that can be assessed and has multiple values. Variables can be divided into two types: categorical and numeric. The categories are further subdivided into two subgroups: ordinal or nominal for categorical variables and discrete as well as continuous for numeric variables.For the given question,
The number in digits is given as (2x)(3x).
The 'x' is the variable part who value is not defined for the question.
Thus, twice the variable will be 2x.
Thrice the variable will be 3x.
The multiplication of both the numbers will be (2x)(3x).
Therefore, in words the number will be written as two time the variable multiplied the three times the variable.
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A news agent conducted a survey of business magazine subscribers in a town and found that there was
circulation of only three business magazines. He made the Venn diagram below to show the number of
subscribers to each of the three magazines: Board Review, Strategy and Finance, and Investor Journal
Answers
394 subscribers are represented in the venn diagram.
What is venn diagram?Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.
Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.
according to the venn diagram
196+41+21+52+84 = 394
There are 394 subscribers
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how can you use pythagora's theorem to solve problems involving right-angled triangles
Answers
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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12. Find the value of x.
(11x - 151°
(5x - 13°
Answers
Answer:
Step-by-step explanation:
I guess the angles are supplementary, which means they have a sum of 180º.
11x - 15 + 5x - 13 = 180
16x -28 = 180
16x = 208
x = 13
Explain the meaning of the term floor plan in this context
Answers
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
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Help help help math math
Answers
Answer:
x=5
Step-by-step explanation:
\( \frac{ - 8 - 2x}{3} = - 6\)
\( - 8 - 2x = - 18\)
\( - 2x = - 10\)
\(x = 5\)