Answers
Answer:
b) x=25
Step-by-step explanation:
If B is a midpoint, then segments AB and BC should be equal to each other.
Then you can make an equation making both segments equal to one another:
2x-8=x+17
2x-x=17+8
x=25
Related Questions
A Broadway theater has 510 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $140, main seats for $135, and balcony seats for $100. If all the seats are sold, the gross revenue to the theater is $62,700. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $55,700. How many of each kind of seat are there?
Answers
The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of Orchestra, y represent the main seat and z represent the balcony seat.
A Broadway theater has 510 seats, Hence:
x + y + z = 510 (1)
Also:
140x + 135y + 100z = 62700 (2)
And:
135y + 100z + (1/2)(140)x = 55700 (3)
From the three equations:
x = 100, y = 220, z = 190
The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.
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Alan has forgotten his 4-digit PIN code.
He knows it begins with a 2 and the 4 digits
make an odd number.
How many different sets of 4 digits could it
be?
Answers
It could be 400 sets of 4 digits.
What is permutation and combination ?combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the elements of the subset can be listed in any order The components of the subset are listed in a permutation in a certain order.
Given that: Alan is aware that the first digit is nine and the final digit is greater than five.
Optional first digit: 1 (9)
10 choices for the second digit (0 to 9)
10 choices for the third digit (9 to 9)
Optional fourth digits: 4. (6, 7, 8, 9)
Possibility of sets:
1×10×10×4 = 400
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Find the circumference and the area of a circle that has a
diameter of 14 centimeters. For each, give the exact answer
and an approximation to the nearest hundredth.
[Section 9.8]
Answers
Answer:
circumference=44cm
44cn
Area=154cm
200cm
PLS PLS PLS PLS PLS PLS PLS PLS HELP ME write the ratios 25:4 and 45:10 as a complex fraction
Answers
Writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.
How to calculate the value?From the information, it should be noted that we want to write the ratios 25:4 and 45:10 as a complex fraction.
It should be noted that we simply have to convert the numbers to fractions. This will be:
25:4 = 25/4 = 6 1/4
45:10 = 45 / 10 = 4 5/10 = 4 1/2.
Therefore, writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.
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The midpoint of AB is M (2, -2). If the coordinates of A are (8, 1), what
are the coordinates of B?
Answers
For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.
Answers
C = 3√3, a = 4√2 are trigonometric ratios of the right triangles .
What do trigonometric ratios represent?
Trigonometric ratios are ratios of the sides of a triangle. These ratios illustrate how the ratio of a right triangle's sides to each angle works in trigonometry. The three basic trigonometric ratios are sine, cosine, and tangent.The values of the provided variable will be determined using trigonometric ratios.
We must choose a ratio that includes base and perpendicular for c. So, we'll utilize tan x.
tan 60 = P/B
tan 60 = C/3
√3 = C/3
3 × √3 = C
C = 3√3
similarly for a
Sin 45 = b/h
√2/2 = a/8
√2 * 8 / 2 = a
a = 4√2
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A math class consists of 12 female students and 21 male students. Two students are selected at random to participate in a probability experiment. Compute the following probability. Write your answer in decimal form. Round to the nearest thousandth as needed.
No males are selected.
Answers
Answer:
the answer would be 0.364
pleas helppp i need this i will give brainly crown
Answers
Answer:
1. Signed
2. True, -(30/6)=-5, 30/-6=-5, hence they are equal
3. True
Step-by-step explanation:
Answer:
Question 5 is true
Question 4 is false
Step-by-step explanation:
I am not sure about the first question because numbers that are either positive or negative are called integers, however, this is not one of the options.
(3x + 2)°
(5x-78)°
HOW DO I SOLVE THIS I DONT GET IT HELP MEEEE!!
Answers
x = 40 is the value of vertical angles .
What is vertical opposite angles?
Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.
The total of the two vertical angle pairs, or four angles, is always 360 degrees. Angles that come from each pair of vertical angles are supplementary and are referred to as neighboring angles (the angles sum up to 180 degrees).
(3x + 2)° and (5x-78)° are equal .
because of they are vertical opposite angles.
3x + 2 = 5x - 78
5x - 3x = 78 + 2
2x = 80
x = 40
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 may I please get help
Answers
Answer: B. 60.96
Step-by-step explanation:
27% of 48 is 12.96
12.96+48=60.96
The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions
The digit must be even
The letters A, E, I, O, U cannot be used
Letters cannot be used more than once
Answers
The number of possible identification codes is 2100
How to determine the number of identification codes?The given parameters are:
1 digit followed by 2 letters. Even digitsLetters A, E, I, O, U cannot be usedLetters cannot be used more than onceThere are 5 even digits
So, we have
Digits = 5
There are 21 other letters aside A, E, I, O, U
So, we have:
First letter = Any of the 21 letters
Second letter = Any of the remaining 20 letters
So, we have
Combination = 5 * 21 * 20
Evaluate the product
Combination = 2100
Hence, the number of identification codes is 2100
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Mary is 7 years old, Chris is 2 years old, Stewart is 5 years old,
and Abby is 10 years old. What is the average age of the 4
children?
years old
Answers
Answer: 6
Step-by-step explanation:
7+2+5+10= 24
24 divided by 4 equals 6
You have a drawer with 7 different pencils. Each pencil is a different color (red, blue, white, green, pink, black, and yellow). If you take a pencil out of the drawer, it is green, and do not put it back, what is the probability that the next pencil is pink?
Answers
Answer:
1 in 6
Step-by-step explanation:
The probability of getting the original green is 1 in 7 (1 green pencil and 7 total)
If you take it out, there will be 6 pencils left
Three friends ate at a restaurant. They ordered nachos for $17.95 and jalapeno poppers. Each friend paid $8.94, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
$26.82
$17.74
$8.87
$5.98
Answers
The cost of the jalapeno poppers is C. $8.87.
How to calculate the cost?Since each friend paid $8.94, not including sales tax or tip,the total amount paid will be:
= $8.94 × 3
= $26.82
Therefore, the cost of the jalapeno will be:
= $26.82 - $17.95
= $8.87
The correct option is C
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8. The line that passes through (3, 5) and is parallel to the line through (3, 3) and (-3, -1)
Answers
2x - 3y = -9 is equation of line which passes through slope 2/3.
Describe slope using an example?
The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.m = [tex]\frac{y{2} - y{1} }{x{2} - x{1} }[/tex]
put x₁ = 3 , x₂ = -3 , y₁ = 3 and y₂ = -1
m = [tex]\frac{-1 - 3}{-3 - 3}[/tex]
m = [tex]\frac{-4}{-6}[/tex]
m = 2/3
The line that passes through (3, 5) =
⇒ y - y₁ = m( x - x₁)
⇒ y - 5 = 2/3 ( x - 3)
⇒ 3( y - 5 ) = 2 ( x - 3 )
⇒ 3y - 15 = 2x - 6
⇒ 2x - 3y = -15 + 6
⇒ 2x - 3y = -9
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Consider the sequence of real numbers
[tex] \rm a_1 = \frac{ log_{2}( {3}^{2} ) }{ log_{3}(2) } ,a_2 = \frac{ log_{ {3}^{3} }( {4}^{4} ) }{ log_{ {4}^3}( {3}^{4} ) } ,a_3 = \frac{ log_{ {4}^5 }( {5}^{6} ) }{ log_{ {5}^{5} }( {4}^{9} ) }, \dots[/tex]
In general, [tex] \rm a_k = \frac{ log_{(k + 1) ^{(2k - 1)} } ((k + 2 {)}^{2k}) }{log_{(k + 2) ^{(2k - 1)} } ((k + 1 {)}^{ {k}^{2} })} [/tex]
Let [tex] \rm P_n = \frac{ log_{ {(n + 1)}^{(2n - 1)} }( {2}^{2n} ) }{ log_{ {2}^{(2n - 1)} }((n + 1) {}^{ {n}^{2} } )} \cdot \prod \limits_{k = 1}^{n - 1} a_k[/tex] for integer n [tex]\geq [/tex] 2.
[tex] \rm Find \sum \limits_{n = 2}^{ \infty } P_n[/tex]
Answers
Use the change-of-base identity and the exponent property for logarithms.
[tex]\log_b(a) = \dfrac{\log_c(a)}{\log_c(b)} \implies \log_b(a) = \dfrac1{\log_a(b)}[/tex]
[tex]\log_c(a^b) = b \log_c(a)[/tex]
This lets us rewrite
[tex]\log_{(k+1)^{2k-1}} (k+2)^{2k} = \dfrac{2k}{\log_{k+2}(k+1)^{2k-1}} = \dfrac{2k}{(2k-1) \log_{k+2}(k+1)}[/tex]
[tex]\log_{(k+2)^{2k-1}} (k+1)^{k^2} = \dfrac{k^2}{\log_{k+1} (k+2)^{2k-1}} = \dfrac{k^2}{(2k-1) \log_{k+1}(k+2)}[/tex]
It follows that
[tex]a_k = \dfrac2k \dfrac{\log_{k+2}(k+1)}{\log_{k+1}(k+2)} = \dfrac2k \left(\ln^2(k+1)}{\ln^2(k+2)}[/tex]
so that the product of [tex]a_k[/tex] telescopes:
[tex]\displaystyle \prod_{k=1}^{n-1} a_k = \frac{2^{n-1}}{(n-1)!} \frac{\ln^2(2)}{\ln^2(3)}\cdot\frac{\ln^2(3)}{\ln^2(4)}\cdot\frac{\ln^2(4)}{\ln^2(5)} \cdots \frac{\ln^2(n-1)}{\ln^2(n)} \cdot \frac{\ln^2(n)}{\ln^2(n+1)} \\\\ ~~~~~~~~ = \frac{2^{n-1}}{(n-1)!} \frac{\ln^2(n+1)}{\ln^2(2)}[/tex]
We can similar reduce the coefficient of [tex]P_n[/tex] to write
[tex]\log_{(n+1)^{2n-1}}(2^{2n}) = \dfrac{2n}{(2n-1) \log_2(n+1)}[/tex]
[tex]\log_{2^{2n-1}}(n+1)^{n^2} = \dfrac{n^2}{(2n-1)\log_{n+1}(2)}[/tex]
[tex]\implies \dfrac{\log_{(n+1)^{2n-1}}(2^{2n})}{\log_{2^{2n-1}}(n+1)^{n^2}} = \dfrac2n \dfrac{\ln^2(2)}{\ln^2(n+1)}[/tex]
Then the expression for [tex]P_n[/tex] reduces significantly to
[tex]P_n = \dfrac2n \dfrac{\ln^2(2)}{\ln^2(n+1)} \cdot \dfrac{2^{n-1}}{(n-1)!} \dfrac{\ln^2(n+1)}{\ln^2(2)} = \dfrac{2^n}{n!}[/tex]
and we ultimately find
[tex]\displaystyle \sum_{n=2}^\infty P_n = \sum_{n=0}^\infty \frac{2^n}{n!} - \frac{2^1}{1!} - \frac{2^0}{0!} = \boxed{e^2 - 3}[/tex]
where we recall the power series
[tex]\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!}[/tex]
Here is list of numbers:
8
7 12 7 11 10 7 12
Find:
a)
the median
b)
the range
c)
the mode
Answers
Step-by-step explanation:
medium =9
range = 12-7=5
mode=7
Help! Please will give brainliest if you will
ASAP
Answers
Answer: i hope this answers your question
Step-by-step explanation:
the function is negative over the interval (-3,5)
the function is positive over the interval (-..-5)
the function is positive over the interval (3,..)
Answer:here
Step-by-step explanation:
the function is negative over the interval (-3,5)
the function is positive over the interval (-..-5)
the function is positive over the interval (3,..)
A fuel storage tank is 3/4 full. After 75 litres have been drawn off it is 3/5 full. What is the capacity of the tank?
Answers
According to the solving the capacity of the tank is = 500
Volume in mathematics refers to:The term 'volume' in mathematics refers to the amount the three-dimensional space occupied by such an item or a closed surface. The volume is measured in cubic units like as m3, cm3, in3, and so on. Volume is also referred to as capacity at times.
Seems to be volume a quantity:Volume is the amount of three-dimensional space inhabited by a liquid, solid, or gas. Volume is commonly expressed in liters, cubic meters, gallons, milliliters, teaspoons, and ounces, while many additional units exist.
According to the given data:fuel storage tank is 3/4 full.
75 liters have been drawn off.
it is 3/5 full.
The capacity of the tank = ?.
So,
3/4x - 75 = 3/5x
3/4x - 3/5x = 75
Multiplying by 20 both the side:
15x - 12x = 1,500
3x = 1500
x = 1500/3
x = 500
According to the solving the capacity of the tank is = 500
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Pls help me understand this.
Answers
Answer:
4 Square units
Step-by-step explanation:
The height is incorect
It is meant to be the vertical height which is the distance from A to AB (3 - 1 = 2)
[tex] \frac{1}{2} bh = \frac{1}{2} \times 4 \times 2 \\ = 4 \: square \: units[/tex]
Money is borrowed at 9% simple interest. After one year $615.85 pays off the loan. How much was originally borrowed?
Answers
Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00
How much was the original amount borrowed?Simple interest is simply a method to determine the amount of interest charged on a sum at a given rate and for a given period of time.
It can be expressed as;
A = P( 1 + rt )
Given the data in the question;
Annual interest rate r = 9% = 9/100 = 0.09Total amount A = $615.85 Time period t = 1 yearsPrincipal P = ?To determine the initial amount borrowed, plug the given values into the equation and solve for P.
A = P( 1 + rt )
615.85 = P( 1 + ( 0.09 × 1 ) )
615.85 = P( 1 + 0.09 )
615.85 = P( 1.09 )
P = 615.85 / 1.09
P = $565.00
Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00
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What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither
Answers
(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.
Absolute advantage theory
Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.
On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.
Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.
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What is the slope of the line that contains the points negative 2, negative seven halves and (4, −4)?
negative one twelfth
negative one fourth
one fourth
one twelfth
Answers
Answer: Negative one twelfth
Step-by-step explanation:
Answer: 1/12
Step-by-step explanation:
the answer is actually 1/12 not -1/12
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
4
−
(
−
7
2
)
4
−
(
−
2
)
Simplify.
Simplify the numerator.
m
=
−
1
2
4
−
(
−
2
)
Simplify the denominator.
m
=
−
1
2
6
Multiply the numerator by the reciprocal of the denominator.
m
=
−
1
2
⋅
1
6
Multiply
−
1
2
⋅
1
6
.
m
=
−
1
12
Bo kept track of his cookie sales. He
discovered that 3 out of 5 people who
came into his bakery for cookies bought
chocolate chip cookies.
If 400 customers bought cookies at Bo's
Bakery last month, how many of them
bought chocolate chip cookies?
Answers
The number of customers that bought chocolates chips last month is 240.
How to find the how many chocolate chip cookies bought using the fractions?He discovered that 3 out of 5 people who came into his bakery for cookies bought chocolate chip cookies.
400 customers bought cookies at Bo's Bakery last month.
The number of people that bought chocolate chip cookies are as follows:
Therefore, using the fraction 3 / 5
3 out of 5 can be represented in fraction form as 3 / 5
number that bought chocolate chip = 3 / 5 × 400
number that bought chocolate chip = 1200 / 5
number that bought chocolate chip = 240
Therefore, the number of customers that bought chocolates chips last month is 240.
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A person who is 1.9 m tall may appear to be 1.8m tall in about one metre away. What is the percentage error made in estimating the main height?
Answers
95% is the percentage error in estimating the main height.
What do we mean by percentages?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.The percent sign, "%," is most commonly used, but the abbreviations "pct.", "pct," and occasionally "pc" are also used.A percentage is a number that has no dimensions or units of measurement.Divide the value by the total value and multiply the result by 100 to get the percentage.The formula for calculating the percentage is (value/total value)100%.So, let the percentage error be x.
Then,
1.9/100 × x = 1.80.019x = 1.8x = 1.8/.019x = 94.73After rounding off: 95%Therefore, the percentage error is 95%.
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Explain why the HCF of 81 and 154 must be 1.
Answers
the HCF of the numbers 81 and 154 must be 1.
HCF means the highest common factor that the two numbers have between them. When the numbers are divided by HCF, they become composite numbers. It is the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
We are given two numbers:
81 and 154
We know that 81 is:
81 = 3 × 3 × 3 × 3
And 154 is:
154 = 2 × 7 × 11
We can see that both the numbers do not have any factor in common.
So, the highest common factor that is the HCF can be 1 only.
Therefore, the HCF of the numbers 81 and 154 must be 1.
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i got the answer of A but i am very unsure on how to do it. Can someone help please? thank you
Answers
Explanation:
So, looking at the ruler, we;re going to take the whole number of the measurment from the whole bars of inches it overlaps (1-3) since we know it goes past there we will have a fraction beside it (because it does not go all the way to 4) If you see the longest lines in between the 3 and 4, there are 3 bars (which means each is 1/4.) Now, we know that it covers 3/4 of the last inch. To convert to /8, we multiply the numerator and denominator by 2 so we have 6/8. The CLOSEST (but not completely correct) (in 1/8 inches) would be D. (but ONLY if A is incorrect because that is simplified and the accurate answer.
What is the value of the expression when s = 2 and t = -1.5? -3/5 - 8³ + 3t
Answers
The value of the expression -3/5 - 8³ + 3t is found as (-517.1).
What is define as the linear equation is one variable?A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are 2 integers and x is a variable. 2x+23=18, for instance –, is a linear equation with such a single variable. As a result, this equation has had only one solution, x = 5/2. In contrast, a linear equation with two variables has two solutions.A linear equation for one variable is one that has only one variable of order 1. It has the formula ax + b = 0, in which x is a variable.For the given equation; -3/5 - 8³ + 3t.
The value of t = -1.5.
Put the value of 't' in the one degree linear equation.
= -3/5 - 8³ + 3t
= -3/5 - 8³ + 3(-1.5)
Simplify the equation;
= -0.6 - 512 - 4.5
Add all the values with sign.
= -517.1
Thus, the simplification if the one degree linear equation is found as (-517.1).
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Answer:
Step-by-step explanation:
In the diagram below, AE ≈ BE, mZB = 55° and mZD = 34°. Find
m/C.
D
34°
E
B
.0
55
Answers
Answer:
m∠C=76
Step-by-step explanation:
AE≅BE
Base angle Theorum. So, ∠A≅∠B.
m∠B=55
m∠B=m∠A
m∠A=55
All triangles add up to 180 degrees.
m∠A+m∠B+m∠BEA=180
55+55+m∠BEA=180
m∠BEA=70
m∠BEA=m∠DEC (Vertical Angles)
m∠DEC=70
m∠DEC+m∠D+m∠C=180
70+34+m∠C=180
m∠C=76
You are saving for a skateboard. Your aunt gives you $45 to start, and you save $3 each week. The expression 45 + 3w gives the amount of money you save after w weeks. How much will you have after six weeks?
Answers
Answer: $63
Step-by-step explanation:
so you put 6 where the w is to find out the answer
45+3(6)=45+18=63
