Answer: half
Step-by-step explanation:
Given that 4, p, q 13 are consequtive terms of an arithmetic progression, find the value of p and q
Find the value of x.
Answers to all the questions form 1 to 10 are illustrated below.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know the angle formed at the center of a circle is twice the angle formed at the circumference.
Answering each one in short.
1. x = 136/2 = 68°.
2. x = 146/2 = 73°.
3. x = 2×49 = 98°.
4. x = 2×62° = 124°.
5. As m∠O = 100°, x = 100/2 = 50°.
6. m∠O = 360 - 100 - 150 = 110°, x = 110/2 = 55°.
We know the angle formed by the same chords at the circumference is equal in measure.
7 . x = 18°.
8. x = 27°.
9. x = 180 - 55 - 90 = 35°.
10. x = 180 - 12 - 91 = 77°.
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2. During the entire school week (that is, five days), Gabriel continues to charge his account for lunch. What is his account balance at the end of the school week?
Answer: Since he is in school for 5 days a week, in a school week he will have a balance of 25.
Step-by-step explanation:
two planes start from los angeles international airport and fly in opposite directions. the second plane starts hour after the first plane, but its speed is 80 kilometers per hour faster. find the airspeed of each plane if 2 hours after the first plane departs the planes are 3200 kilometers apart.
The airspeed of each plane if 2 hours after the first plane departs the planes are 3200 kilometers apart.
speed of the first plane=1040km/hour
speed of the second plane=1120km/hour
Two planes start from Los Angeles International Airport and fly in opposite directions. The second plane starts 1 hour after the first plane, but its speed is 80 kilometers per hour faster. Find the airspeed of each plane if 2 hours after the first plane departs the planes are 3200 kilometers apart.
Make a system to solve.
let x=speed of the first plane
x+80=speed of the second plane
distance=speed*travel time
travel time of first plane=2 hour
travel time of second plane=1 hour
2x+1(x+80)=3200
2x+1x+80=3200
3x=3120
x=1040
x+80=1120
The airspeed of each plane if 2 hours after the first plane departs the planes are 3200 kilometers apart.
speed of the first plane=1040km/hour
speed of the second plane=1120km/hour
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A store owner bought a batch of teddy bears for $120. She sells the teddy bears at a markup of 20% and made a profit of $24. How many teddy bears did she buy in the batch?
7)
A shop sells two different sized picture frames, small and
large. One small picture frame and one large frame costs £65.
It costs £170 to buy two of the larger frames and four of the
smaller frames. What is the price difference between the two
different frame sizes?
The price difference between the two different frame sizes £25.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
let the price for small frame be x.
and, the price for large frame be y.
As, One small picture frame and one large frame costs £65.
It costs £170 to buy two of the larger frames and four of the smaller frames.
So, the system of equation are:
x+ y = 65..................(1)
4x+ 2y = 170
2x + y = 85.....................(2)
Solving equation (1) and (2) we get
2x + 65 -x = 85
x = 20
and, y = 65- 20 = 45
Hence, the difference if of £25.
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Find the volume of this shape
Answer:
410cm^3
Step-by-step explanation:
The Volume of the upper rectangular prism is 10x3x8 which is 240
The volume of the middle prism is 6x5x3 which is 90
And the volume of the bottom prism is 8x2x5 which is 80
If you add them all up, the total volume is 410
Note(The volume of a rectangular prism is base x height x width)
The only creation to have a living soul is people.
True or False
..................false
What is another name absolute value?
The absolute value is also called a modulus.
The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign, also describes the distance from zero that a number is on the number line, without considering direction.
It is represented as |a|, which defines the magnitude of any integer ‘a’.
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system.
it defines removing any negative sign in front of a number and thinking of all numbers as positive.
When x itself is negative (x<0), then its absolute value is necessarily positive
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Find the following functions. Simplify your answers.
Answer:
[tex]f(g(x)) = \boxed{\dfrac{x}{2}}[/tex]
[tex]g(f(x)) = \boxed{2x - 5}[/tex]
Step-by-step explanation:
We have the following two functions
[tex]f(x) = \dfrac{1}{x-5}\\\\g(x) = \dfrac{2}{x}+\:5[/tex]
To find [tex]f(g(x))[/tex] substitute the expression for [tex]g(x)[/tex] wherever you see an [tex]x[/tex] in [tex]f(x)[/tex]
[tex]\mathrm{For}\:f=\dfrac{1}{x-5}\:\mathrm{substitute}\:x\:\mathrm{with}\:\dfrac{2}{x}+5[/tex]
[tex]=\dfrac{1}{\dfrac{2}{x}+5-5}\\\\[/tex]
[tex]=\dfrac{1}{\dfrac{2}{x}}\\\\\\= \dfrac{x}{2}[/tex] ANSWER
To find [tex]g(f(x)[/tex], substitute the expression for [tex]f(x)[/tex] wherever you see an [tex]x[/tex] in [tex]g(x)[/tex]
[tex]\mathrm{For}\:g=\dfrac{2}{x}+5\:\mathrm{substitute}\:x\:\mathrm{with}\:\dfrac{1}{x-5}\\\\=\dfrac{2}{\dfrac{1}{x-5}}+5\\\\[/tex]
[tex]=2\left(x-5\right)+5\\\\= 2x - 10 + 5\\\\= 2x - 5\\\\[/tex]ANSWER
Note:
[tex]\dfrac{2}{\dfrac{1}{x-5}}=2\left(x-5\right)\\\\[/tex]
A walkway forms one diagonal of a square playground. The walkway is 20 M long. How long is a side of the playground?
Each side of the playground is __ m.
PLS HELP!!!
Each side of the playground is 10[tex]\sqrt{2}[/tex] m.
We know that in a square,
d = [tex]\sqrt{2}[/tex] a
where, d = diagonal of the square
a = side of the square
Now, according to the question the walkway forms a diagonal and is 20 meters long.
So, d = 20 m
a = ?
d = [tex]\sqrt{2}[/tex] a
20 = [tex]\sqrt{2}[/tex] a
a = 20/ [tex]\sqrt{2}[/tex]
= [tex]\frac{10\sqrt{2}*\sqrt{2} }{\sqrt{2}}[/tex]
= [tex]10\sqrt{2}[/tex]
Hence, the side of the playground is [tex]10\sqrt{2}[/tex] meters long.
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The sum of the reciprocals of two consecutive even integers is 11/60. Find the integers.
Answer: one is 10 and one is 12. Holy why was this so hard shouldn't this be as SAT/ACT problem?
Step-by-step explanation: 1/X + 1/X+2 = 11/60. THEN DO ALGEBRA THAT TOOK ME FOREVER IT WAS SO HARD.
The total cost, in dollars, of an international call with duration x minutes is given by the expression
2.20 +0.35x. What is the total cost, in dollars, of an international call with a duration of 10
minutes?
Answer: total cost of an international call with a duration of 10 minutes is 5.70 dollars.
Step-by-step explanation:
The expression 2.20 +0.35x represents the total cost of an international call in dollars, as a function of the duration x in minutes.
It is composed of two parts:
The first part, 2.20$, represents the fixed cost of making an international call. This cost does not change regardless of the duration of the call.
The second part, 0.35x$, represents the variable cost of the call, which is based on the duration of the call in minutes. This cost increases with the duration of the call.
When x=10, it means the duration of the call is 10 minutes, so the variable cost of the call would be 0.35*10 = 3.5$
Therefore, the total cost of the international call with a duration of 10 minutes is 2.20 + 3.5 = 5.7$
It's important to notice that this equation represents the total cost of the call not just the variable cost, but also the fixed cost.
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Match each sum or difference with its simplified answer.
The match from the simplified answer are;
1. 3x³ + 2x + 10
2. 2x² - 4x + 7
3. 3x³ -6x² - 2x + 7
4. 7x³ + 6x² -4x + 7
What are algebraic expressions?Algebraic expressions are described as expression that is composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also composed of mathematical operations, such as;
AdditionSubtractionFloor divisionBracketDivisionParenthesesMultiplicationFrom the information given, we have that;
(3x³ + 10x² + 2x) - (10x² + 7x - 10)
expand the bracket
3x³ + 2x + 10
(7x² -12x + 4) - (5x² - 8x -3)
expand the bracket
2x² - 4x + 7
(5x³ - 3x + 7) - (2x³ + 6x² -x )
expand the bracket
3x³ -6x² - 2x + 7
(5x³ -3x + 7) +(2x³ +6x² - x)
expand the bracket
7x³ + 6x² -4x + 7
Hence, the expressions are 3x³ + 2x + 10, 2x² - 4x + 7, 3x³ -6x² - 2x + 7 and 7x³ + 6x² -4x + 7
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At what point do the curves r1(t) = t, 5 − t, 63 + t2 and r2(s) = 9 − s, s − 4, s2 intersect?(x, y, z) = ...Find their angle of intersection, 0, correct to the nearest degree.θ = ...
Therefore , the solution of the given problem of angles comes out to be
r1 (1) = r2.
What do you mean by an angle?An angle is a form in Euclidean geometry composed of two rays, called the hook's flanks, that converge at a point in the middle known as the vertex of the angle. In the plane that they are located, two ray may combine to make an angle. The collision of two planes also produces an angle. Dihedral angles are what we call them.
Here,
Make the pair of elements
r1 (t) = r2 (s) t = 7 - s
or
t + s = 7 equal to one another.
35 + t2 = s2, or 35 - t2 = 4, or s2 - t2 = 35
Step 2: Using the t value from equation 1, simplify equation 3.
35 + ( 7 - s ) ( 7 - s )
2 = s2 14s = 84 s = 6 and t = 1 are equivalent to.
Step 3: In formulas (1), (2), and, substitute these values of "t" and "s"
(3).
r1 (1) = r2
(6) = (1, 3, 36) (1, 3, 36)
Therefore , the solution of the given problem of angle comes out to be
r1 (1) = r2.
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The sum of -13 + (-9) is Choose...
Answer:-20
Step-by-step explanation:
Quadrilateral TUVW is a rhombus. What is VW?
U
V
vw=
V
11w
W
w+20
T
Answer:
22
Step-by-step explanation:
All sides of a rhombus are congruent.
[tex]11w=w+20 \\ \\ 10w=20 \\ \\ w=2 \\ \\ \implies VW=2(11)=22[/tex]
Hello, I need the answers kind of fast can someone please help me<3
Question: Find the value of x.
Answer:
Step-by-step explanation:
Cross multiply
(2x + 6 + 2x)/(x² + 3x) = 1
(4x + 6) = x² + 3x
x² - x - 6 = 0
x² - 3x + 2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x + 2)(x - 3) = 0
x = -2,3
Last season there were 90 students on the Springfield High School varsity
soccer team, all freshmen, sophomores, juniors, and seniors. 28 students were seniors. What percent of the team were seniors?
The percentage of the 90 students on the Springfield High School varsity soccer team who are seniors is 31%.
What is the percentage?The percentage is a portion of a whole number or value.
Using percentages is a way of expressing values compared to others in relative terms.
The percentage refers to the ratio, which is obtained as the quotient of a numerator and a denominator, which is then multiplied by 100.
The total number of students on the Springfield High School varsity soccer team = 90
The makeup of the soccer team = freshmen, sophomores, juniors, and seniors
The number of seniors on the soccer team = 28
The percentage of seniors on the soccer team = 31.11% (28/90 x 100)
Thus, we can conclude that about 31 percent of the soccer team consists of seniors.
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George has opened a new store and he is monitoring its success closely.
He has found that this store’s revenue each month can be modeled by r(x)=x2+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.
He has also found that his expenses each month can be modeled by c(x)=x2−3x+4 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.
What does (r−c)(3) mean about George's new store?
Responses:
A) The new store will have a profit of $2400 after its third month in business.
B) The new store will sell 2400 items in its third month in business.
C) The new store will sell 3400 items in its third month in business.
D) The new store will have a profit of $3400 after its third month in business.
The new store will have a profit of $3400 after its third month in business.
The correct option is D.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
George has opened a new store, and he is monitoring its success closely.
He has found that this store’s revenue each month can be modeled by r(x)=x²+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.
He has also found that his expenses each month can be modeled by c(x)=x²−3x+4 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.
(r−c)(x) = x²+5x+14 -x²+3x-4
(r−c)(x) = 8x+10
(r−c)(3) = 24+10 = 34 in hundreds of dollars.
Therefore, the new store has profit of $3400.
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At jaidee's printing company llc there are two kinds of printing presses: model a which can print 80 books per day and model b which can print 30 books per day. the company owns 13 total printing presses and this allows them to print 790 books per day. how many of each type of press do they have?
Jaidee's printing company LLC has 8 of Model A and 5 of Model B press, respectively.
We can find each type of press with the help of the substitution method.
Let Model A = x presses
Model B = y presses
According to the question, the company owns 13 total printing presses, then
x + y = 13
x = 13 - y
Also, according to the question
80x + 30y = 790
Put the value of x = 13 - y in the above equation
80(13 - y) + 30y = 790
1040 - 80y + 30y = 790
1040 - 790 = 80y - 30y
50y = 250
y = 250/50 = 5
Now, put the value of y in x = 13 - y
x = 13 - 5
x = 8
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How do you solve a 3 equation problem?
With substitution, you need to solve one of the equations for one of the unknown variables and substitute that value into one of the other equations, then solve for the remaining unknown variable.
To solve a 3 equation problem, you can use elimination or substitution. With elimination, you need to add or subtract the equations to eliminate one of the unknown variables. With substitution, you need to solve one of the equations for one of the unknown variables and then substitute that value into one of the other equations. You can then solve for the remaining unknown variable.
To solve a 3 equation problem, you can use elimination or substitution methods. With elimination, you need to add or subtract the equations to eliminate one of the unknown variables. With substitution, you need to solve one of the equations for one of the unknown variables and substitute that value into one of the other equations, then solve for the remaining unknown variable.
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Rick bought a photo printer and supplies for $186.90, which will allow him to print photos for $0.29 each. a photo store charges $0.55 to print each photo. how many photos must rick print before his total cost is less than getting prints made at the photo store? more than 718 photos. less than 718 photos. more than 900 photos. not enough information to solve.
The 718.85 < x inequality says that : He must print 719 photos or more.
Inequality:
In mathematics, an inequality is a relationship in which two numbers or other mathematical expressions compare unequal. Most commonly used to compare two numbers on the number line based on size. There are several notations used to represent various types of inequalities.
The notation a < b means a is less than b.The notation a > b means that a is greater than b.Given,
In the question:
Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each.
and, A photo store charges $0. 55 to print each photo.
To find the how many photos must Rick print before his total cost is less than getting prints made at the photo store?
Now,
According to the question:
Let the photos be x
Rick bought a photo printer be $186.90
A photo store charges $0. 55 to print each photo.
The question is based on inequality:
Photo Printer < photo store
1.86.90 + 0.29x < 0.55x
- 0.29x - 0.29x
______________________
1.86.90 < 0.26x
Divide by 0.26x on both sides = 718.85 < x
Hence, The 718.85 < x inequality says that : He must print 719 photos or more.
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Combine as indicated by the signs.
2x/y²-x²- x/y - x
Answer: x(2 - xy² - y - y²)
---------------------------
y²
Step-by-step explanation:
Please give brainliest
x(2 - xy² - y - y²)/y² is the answer
Answer:
(I'm not exactly sure which way you wanted it, so see the answers below!)
Step-by-step explanation:
How are using graphs, equations, and tables similar when distinguishing between proportional and nonproportional linear relationships?Proportional relationships exist when there is a line through the ___ the Origin, the equation has a y-intercept that is equal to __ , and the table includes the coordinate (0,0).
Graphs, tables and equations that can be used to find the ratio and the ratio is not constant when the relationship is non-proportional explanation is given below
let us consider the , The graph of a linear equation is a line.
then , If b = 0 in a linear equation (so y = mx), then the equation is said to be proportional linear relationship between y and x.
If b ≠ 0, then y = mx + b is said to be non-proportional linear relationship between y and x.
If we are able to draw a straight line through all three points and the line that passes through the origin, (0, 0), in an ordered pairs which represents a proportional relationship. in which the Solution to the points on the graph that represent a proportional relationship. Such that the ordered pairs in the table represent a proportional relationship .Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin. As that of adjectives the difference between proportional and which is equal to that proportional is at a constant ratio (to) two magnitudes (numbers) are said to be proportional if the second graph varies in a direct relation arithmetically , the first while equal which is (label) the same as in all respects.
The Difference in the Proportional and linear functions are almost identical in their representation form. The only difference is the addition of the “b” as constant to the linear function. Indeed, which is a proportional relationship to a linear relationship where b = 0, or also said in an another way, in which the line passes through the origin (0, 0).
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[tex]-\sqrt{16y^2}[/tex] if y<0
Answer:
4y
Step-by-step explanation:
You want the simplified form of -√(16y²) if y < 0.
Simplified radicalThe square root function returns the positive root, so this is ...
[tex]-\sqrt{16y^2}=-4|y|[/tex]
The absolute value changes the sign of its negative arguments, so this is ...
[tex]-4|y| = -4(-y) = \boxed{4y}\qquad\text{for $y < 0$}[/tex]
CAN SOMEONE HELP ME PLEASE HURRY
Answer:
it would be the 3rd one I did this in middle school
Step-by-step explanation:
pls give brainly if It's right
Can someone please give me a real answer, I’ll give you brainliest aswell!!!
Answer:
See attachment.
Step-by-step explanation:
If CD and MB are parallel, triangle CDE is similar to triangle MBE.
In similar triangles, corresponding sides are always in the same ratio.
[tex]\implies \sf CD:MB=DE:BE=EC:EM[/tex]
From inspection of the given diagram, EM is approximately 0.35 times the length of EC. Therefore, let EC = 10 and EM = 3.5.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, let CD = 7 and let DE = 12.
Substitute these values into the created ratio equation:
[tex]\implies \sf 7:MB=12:BE=10:3.5[/tex]
[tex]\implies \sf \dfrac{7}{MB}=\dfrac{12}{BE}=\dfrac{10}{3.5}[/tex]
Calculate BE:
[tex]\implies \sf \dfrac{12}{BE}=\dfrac{10}{3.5}[/tex]
[tex]\implies \sf \dfrac{12 \cdot 3.5}{10}=BE[/tex]
[tex]\implies \sf BE=4.2[/tex]
Calculate MB:
[tex]\implies \sf \dfrac{7}{MB}=\dfrac{10}{3.5}[/tex]
[tex]\implies \sf \dfrac{7 \cdot 3.5}{10}=MB[/tex]
[tex]\implies \sf MB=2.45[/tex]
Therefore:
[tex]\implies \sf CM=EC-EM[/tex]
[tex]\implies \sf CM=10-3.5[/tex]
[tex]\implies \sf CM=6.5[/tex]
[tex]\implies \sf DB=DE-BE[/tex]
[tex]\implies \sf DB=12-4.2[/tex]
[tex]\implies \sf DB=7.8[/tex]
to get to campus, a student rides his bike at 16 feet per second for 5 miles to the bus stop. they place their bike on the bus and ride 15 miles at 25 miles per hour. they then ride their bike at 16 feet per second for 480 yards to the bike rack. they then walk 250 feet at 2.5 miles per hour into their class. if they left home 50 minutes before class started, how late/early were they? round to three significant figures and enter your answer as a positive value.
If he left home 50 minutes before the class started he was 53.7 minutes late for his class.
Given that,
Speed of the bike = 16 feet per second = 10.9091 miles/hour
Distance from home to bus stop = 5 miles
Total time taken to reach bus stop = distance/ speed = 5 miles/10.9091 miles/hour= 0.458 hours = 27.5 minutes
Then, speed of the bus = 25 miles per hour
Distance from bus stop to campus = 25 miles
Total time taken to reach campus = distance/ speed = 25 miles/25 miles/hour= 1 hour= 60 minutes
Then, speed of the bike = 16 feet per second = 10.9091 miles/hour
Distance from campus to bike rack = 480 yards = 0.2727 miles
Total time taken to reach bike rack = distance/ speed = 0.2727 miles/ 10.9091 miles/hour= 0.249 hour= 15 minutes (approximately)
Then, the Speed of walking = 2.5 miles per hour
Distance from bike rack to class = 250 feet = 0.047 miles
Total time taken to reach class = distance/ speed = 0.047 miles/ 2.5 miles/hour= 0.0188 hour= 1.2 minutes (approximately)
Thus, total time taken to reach class = 27.5 minutes+60 minutes+15 minutes+1.2 minutes = 103.7 minutes
Therefore, If he left home 50 minutes before the class started he was 53.7 minutes late for his class.
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If 35% of a number is 77 and 90% of the same number is 198, find 55% of that number.
Answer:
Let's call the number we're trying to find "x".
We know that 35% of x is 77, so we can set up the equation:
0.35x = 77
We also know that 90% of x is 198, so we can set up another equation:
0.9x = 198
We can use the first equation to find the value of x and then substitute that value into the second equation to find 55% of x.
To find x, we divide both sides of the first equation by 0.35:
x = 77 / 0.35 = 220
Now that we know x is 220, we can find 55% of x by multiplying 220 by 0.55:
0.55x = 220 * 0.55 = 121
So 55% of the number is 121.
Answer:
121
Step-by-step explanation:
Because one of the answers is already divisible by 10, allowing us to find 100% of the unknown number, we can first find 10% by dividing the 90% number by 9. 198/9 is 22, meaning 22 is 10% of the number. We can then multiply it by 10 to get 100%, 22(10)=220. Meaning our full number is 220
From here we can simply multiply by our desired percentage, which is 55%. In order to multiply by a percent, you have you divide the percent by 100 to get .55. From there you can do 220*.55= 121. Meaning our answer is 121.
