The simplified value of the expression −5 5/8 ÷ 5 is −1 1/8
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution of the expression?The expression is given as
−5 5/8 ÷ 5
Convert the mixed fractions to improper fractions
So, we have
−5 5/8 ÷ 5 = −45/8 ÷ 5
Express the quotient as a product
So, we have
−5 5/8 ÷ 5 = −45/8 x 1/5
Evaluate the product of the numerators in the above expression
So, we have
−5 5/8 ÷ 5 = −45/8 x 1/5
Evaluate the product of the denominators in the above expression
So, we have
−5 5/8 ÷ 5 = −45/40
Simplify the result
So, we have
−5 5/8 ÷ 5 = −9/8
Express as a mixed number
So, we have
−5 5/8 ÷ 5 = −1 1/8
Hence, the simplified value of the expression −5 5/8 ÷ 5 is −1 1/8
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The mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by y = 3.50x + 6.00 explain how you can use this linear function to find out how many games you can bowl for $34.
If the mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by y = 3.50x + 6.00, then the number of games you can bowl for $34 is equal to 8.
A linear function can be described as an equation in which the highest power of the variables is not more than 1. As the linear function given is;
y = 3.50x + 6.00
Here y represents the total cost and x represents the number of games played.
We can find the number of games you can bowl for $34 as follows;
y = 3.50x + 6.00
34 = 3.50(x) + 6.00
34 - 6.00 = 3.50(x)
28 = 3.50(x)
x = 28 ÷ 3.50
x = 8
Hence, the number of games you can bowl for using the equation y = 3.50x + 6.00 is calculated to be 8.
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this one is weird to me pls help
Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.
Answer:
0.2
Step-by-step explanation:
Divide 2 by 9. You’ll get 0.222222…
So, you have to round it down to 0.2
I hope this helps. Please mark me brainliest.
The amplitude of a periodic function is 2.5 and its minimum value is 0 . What is the function's maximum value?
(F) -2.5 (G) 0 (H) 2.5 (I) 5.0
The maximum value of the periodic function will be 2.5 if the amplitude of a periodic function is 2.5 and its minimum value is 0 option (H) 2.5 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The amplitude of a periodic function = 2.5
The minimum value = 0
The maximum value = the amplitude = 2.5
Thus, the maximum value of the periodic function will be 2.5 if the amplitude of a periodic function is 2.5 and its minimum value is 0 option (H) 2.5 is correct.
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Jordin worked 48 hours and 45 minutes. He's paid $13.00 an hour. He is paid time and a half for any time over 40 hours. How much will he get paid?
Change minutes to hours then multiply.
This is pay, so round all answers to the nearest cent if necessary. Two decimal places
Answer:
$690.63
Step-by-step explanation:
45 minutes = 0.75 hr, so he worked for 48.75 hrs.
This means he worked 8.75 hours of overtime, so his pay is
[tex]40(13)+(8.75)(13)(1.5) \approx \$690.63[/tex]
Please help me out please please please
Answer:
B. 2(5+3)
Step-by-step explanation:
PEMDAS
2(5+3)
5+3= 8
2 × 8 = 16
10 + 6 = 16
There are 250 cars in a car park.165 of them are Toyota. What is the probability that the first car to leave the car park is: a)a Toyota b)not a Toyota?
Answer:
Toyota
Step-by-step explanation:
im not sure im a 5th grder that just guessed
Answer:
a) 33/50 b) 17/50
Step-by-step explanation:
total cars = 250
toyotas = 165
The probablity of the first car to leave being a toyota is
165/250
Simplify it to 33/50
The probability of the first car to leave not being a toyota is
(250 - 165)/250
= 85/250
= 17/50
By 8:00 a.m., the snack bar had made $3,256 in sales. By noon, the snack bar’s total sales were $8,821. About how much money did the snack bar take in each hour between 8:00 a.m. and noon?
$814.00
$1,391.25
$2,205.25
$5,565.00
Answer:
b) $1,391.25
Step-by-step explanation:
Noon is at 12pm, so 8am-12pm will be 4 hours.
8821-3256=5565, so the snack bar made $5565 in 4 hours, to find how much it made in 1 hour we need to divide 5565 by 4.
5565/4=1391.25
Write an equation for the translation of y=2/x that has the given asymptotes. x=4 and y=-8
Equation that has the specified asymptotes for the translation of y=2/x. x=4 and y=-8 is :
y = 2 / x- 4 - 8
How to write an equation for the translation (given asymptotes)?The graph is shifted by that many units in the positive direction if you deduct a constant from your original function's x.
The original function's graph is shifted downward by that many units if a constant is subtracted from the y value.
CalculationYour first formula was y=2/x. The vertical asymptote is discovered when the denominator's root is solved for. It is x=0 in this instance, or the y-axis.
And when x changes to ∞, y=2/∞=0. This indicates that the y-axis, or your horizontal asymptote, is at y=0.
GRAPHSAfter seeing the first graph
Now, you can see the transformation of y=2/x below. As is evident, it has shifted 2 units to the right and 8 units down with vertical asymptote at x=4 and horizontal asymptote at y=−8.
you can see the second graph here...
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Sue has 20 biscuits in a tin.
There are: 12 plain biscuits
5 chocolate biscuits
3 currant biscuits
Sue takes at random two biscuits from the tin.
Work out the probability that the two biscuits were not the same type.
=======================================================
Explanation:
Define the following three events:
A = plain biscuitB = chocolate biscuitC = currant biscuitNotation like P(A) = 12/20 means the probability of event A (aka picking the plain biscuit) is 12/20 since there are 12 plain biscuits out of 20 total. I'll leave the fraction un-reduced so we can see where the 12 and 20 come from. Going from 12/20 to 3/5 has us lose vital information about the original values.
Notation like AB means a plain biscuit was selected first and then a chocolate biscuit is selected second in that exact order. I'm assuming the first selection is not replaced. This makes the probability of the second selection dependent on the first.
So,
P(AB) = P(A)*P(B given A) = (12/20)*(5/19) = 3/19
P(AC) = P(A)*P(C given A) = (12/20)*(3/19) = 9/95
P(BC) = P(B)*P(C given B) = (5/20)*(3/19) = 3/76
The last step is to add those results to get the probability of event AB, event BC or event AC of occurring. Addition is possible since the events are mutually exclusive.
P(AB)+P(AC)+P(BC) = 3/19 + 9/95 + 3/76 = 111/380
I've skipped a few steps, so let me know if you need to see the finer details. Also feel free to ask about any questions in general if they come up.
When x = 4, the value of 2x⁰ +x! is
Answer:
26
Step-by-step explanation:
[tex]2(4)^0+4! \\ \\ =2(1)+24 \\ \\ =26[/tex]
If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.
Triangle LMN is an obtuse triangle.
The angle at vertex L is acute.
The angle at vertex L is right.
The angle at vertex N is right.
The angle at vertex N is acute.
Triangle LMN is a right triangle.
The statement which are true for triangle LMN are :
1 ) The angle at vertex L is acute.
2) The angle at vertex N is acute.
What is obtuse angle ?
An obtuse angle is defined as an angle measuring less than 180 degrees and greater than 90 degrees. Examples of obtuse angle degrees include 165°, 135°, 110°, 179°, 91°, etc., which lie between 90° and 180°.
Here, it is given that triangle LMN has an obtuse angle at vertex M that is :
The angle formed by vertex L and N will be acute angle that is less then 90 degrees as to satisfy the triangle law of addition (all sum of all the angles of a triangle is 180 degree).
Therefore, option A and D are correct.
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Answer: 1, 2 and 5
Step-by-step explanation:
Analyzing Obtuse Triangles
see picture
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Using the absolute value function, we have that:
1) The table is:
x = 0, |x| = 0.x = 1, |x| = 1.x = 2, |x| = 2.x = 3, |x| = 3.x = -1, |x| = 1.x = -2, |x| = 2.x = -3, |x| = 3.2) The graph is given at the end of the answer.
3) The rule is: g(x) = |x - 3|.
4) The rule is: D(x) = |x| - 5.
5) The rule is: K(x) = |x - 3| - 5.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin.
Hence, applying the rule, the table is completed as follows:
x = 0, |x| = 0.x = 1, |x| = 1.x = 2, |x| = 2.x = 3, |x| = 3.x = -1, |x| = 1.x = -2, |x| = 2.x = -3, |x| = 3.The function is graphed at the end of the answer.
A translation right of 3 units is given by:
f(x - 3).
Hence:
g(x) = |x - 3|.
A translation down 5 units is given by:
f(x) - 5.
Hence:
D(x) = |x| - 5.
For item 5, the function was shifted 5 units down and 3 right, hence it is given by:
K(x) = |x - 3| - 5.
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In the diagram, AOC = 144 degrees, APC = 145 degree and onis the center of the circle. Find BAD.
===========================================================
Explanation:
Central angle AOC is 144 degrees. This means arc ABC is 144 degrees because the central angle subtends this arc.
The remaining bit of the circle is 360-144 = 216 degrees. If we placed point E somewhere on the edge of the circle, toward the bottom, then major arc AEC is 216 degrees in measure.
Notice how inscribed angle ADC subtends this 216 degree arc. So according to the inscribed angle theorem, angle ADC is half of the 216 degree arc at 216/2 = 108 degrees.
Angle APD = 180 - (angle APC) = 180 - 145 = 35 degrees
------------------------
Focus solely on triangle ADP. We have these interior angles
A = unknownD = 108P = 35The three interior angles must add to 180
A+D+P = 180
A+108+35 = 180
A+143 = 180
A = 180-143
A = 37 which is the measure of angle BAD.
classify the following sequence as either arithmetic or geometric. then state the common difference or ratio and find the missing terms. explain your reasoning.
_,-9,_,3,9
-15_, -9, -3_, 3, 9...
First of all we understand about what is sequence ?
A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function. Sequences can be both finite and infinite.
Now we know that
Arithmetic = each new term differs from the previous term by a fixed amount.
an = a1 + d (n − 1)
Geometric = each element after the first is obtained by multiplying the previous number by a constant factor
an = a1 (r)^(n − 1)
Given pattern is
_,-9,_,3,9
find out the blanks by following a pattern ..
The term to term rule of a sequence describes how to get from one term to the next.
There is the difference of +6
hence The common different is +6.
-15_, -9, -3_, 3, 9...
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let f(x)= 2x+4. Write a function g whose graph is a horizontal shrink of the graph of f by a factor of 1/2. g(x)=?
x + 2 is the graph of the function g, whose graph is a horizontal reduction of the graph of f by a factor of 1/2.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The translation is a way of changing the position of an object on a xy-plane.
The function that results from shrinking a function f(x) horizontally by a factor of 1/a is given as;
g(x) =1/a f(x)
Give the function f(x) = 2x + 4, which will result in the following function if the function is shortened horizontally:
g(x) = 1/2(2x+4)
g(x) = x + 2
Hence the function g whose graph is a horizontal shrink of the graph of f by a factor of 1/2 is x + 2.
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HEY, guys I REALLY NEED HELP WITH THESE. I THINK I HAVE 5 QUESTIONS I NEED HELP WITH. HERE THEY ARE. I WILL AWARD BRAINIEST IF U CAN SOLVE THEM. THANK YOU, GUYS! I NEED THEM ASAP!!!!!!
Answer:
1. y = 0.5x – 0.5 or y = 1/2x -1/2
2. y = -1.5x – 2 or y= -3/2x- 2
3. y= -x -5
4. y=x+3
i dk how to do the last picture
help me please I need this done today and please tell me A, B, C, OR D and on question 8 try to give me a good answer and show work
Occupation
Median Annual Earnings (Dollars)
Postsecondary Education or Training Category
Sheet metal worker
37,360
Long-term on-the-job training
Massage therapist
33,400
Postsecondary vocational award
Religious worker
24,330
Bachelor’s degree
Mathematician
86,930
Doctor’s degree
Makeup artist
31,820
Postsecondary vocational award
Private detective
33,750
Work experience in a related occupation
U.S. Bureau of Labor Statistics, 2006.
Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn’t want to go to college. Which of the following occupations fits her plan?
a.
Makeup artist
b.
Mathematician
c.
Private detective
d.
Massage therapist
Since Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn’t want to go to college, the occupation that fits her will be C Private detective.
How to illustrate the information?It should be noted that from the information, Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn’t want to go to college.
A Makeup artist earns $31,820.
A Mathematician earns $86,930.
A Private detective earns $33,750
A Massage therapist earns $33,400.
Therefore, the best occupation for her since she doesn't want to go to college and earns above $33500 is the private detective.
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Answer:
C. Private detective
Step-by-step explanation:
Which sequence of numbers is in order from least to greatest?
(Edpuzzle)
The sequence is -2 1/4, - 1.2, -0.7, 2 1/2, 2 3/4.
what is sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
We have given number as
-2 1/4 = -2.25
-1.2
-0.7
2.5
2.75
So, the arrangement from least to greatest is -2 1/4, - 1.2, -0.7, 2 1/2, 2 3/4.
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Aditi bought 20 apples at Rs 25 each and sold them at Rs 32 each. What is her total profit?
Answer: 140
Step-by-step explanation: 25x20=500
32x20=640
640-500= 140!!
please help me fast its worth 50 points
Yes, the claim is correct because √16 + π = 4 + π and 4 + π is an irrational number
What is the sum of rational and Irrational Numbers?Rational numbers are numbers that can be expressed as the ratio of two integers while Irrational numbers cannot be expressed as the ratio of two numbers.
The sum of a rational and an irrational number is always an irrational number.
Example:
Consider a rational number: 4 and an irrational number: 2.7582...
When we add these two numbers, we get,
4 + 2.7582... = 6.7582....
Thus, it is clear that this sum is also an irrational number as the numbers after decimal are non-terminating and non-recurring.
Thus, the correct option is that the claim is correct because √16 + π = 4 + π which is an irrational number
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geometry help please!
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.105ft2 is the area of given figure.
What is Area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
The given figure has rectangle and semi circle.
Area of rectangle=length * Breadth
=10*8
=80 ft2
Area of semicircle=1/2πr2 (r=4ft)
=1/2*3.14*(4)^2
=3.14*4*2=25.12ft2
Therefore area of figure is
=Area of rectangle+Area of semicircle
=80ft2+25.12ft2
=105ft2.
Therefore area of figure is 105ft2.
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A used-boat dealership buys a boat for 2600 then sells it for 4100 whats the percent increase? please help!!!
The percentage increase from the boat price of 2600 to 4100 is 57.69%
How to determine the percentage increase?The given parametes are
Cost price = 2600
Selling price = 4100
The percentage increase in the price of the boat is calculated as
Percentage increase = (Selling price - Cost price)/Cost price * 100%
Substitute the known values in the above equation
So, we have
Percentage increase = (4100 - 2600)/2600 * 100%
Evaluate the difference in the above equation
So, we have
Percentage increase = 1500/2600 * 100%
Evaluate the quotient in the above equation
So, we have
Percentage increase = 0.5769 * 100%
Evaluate the product in the above equation
So, we have
Percentage increase = 57.69%
Hence, the percentage increase from the boat price of 2600 to 4100 is 57.69%
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Answer:
60% (Rounded to the first decimal)
Step-by-step explanation:
How many times does 2600 go in 4100:
4100/2600 = 1.6
2 ba
14. DIG DEEPER What is Descartes's
number?
46.29
• It is greater than 46.98.
●
It is less than 47.
• The thousandths digit is greater
than the hundredths digit.
00
Answer:
Step-by-step explanation:
the answer is 46.989
tenths, ones, decimal, hundredths, thousandths
the answer must be greater than 46.98 but less than 47.
The graph shows the high temperatures on July 4 over a 15 year. What is the. Approximate assessment probability that next year is temperature year 16 will be in the 90s
The Approximate assessment probability that next year is temperature year 16 will be in the 90s is 0.53
How to solve for the probabilityIn the image that we have, there are 8 years out of a total of 15 years that would be having the temperature in the 90s.
This can be written in the fraction as 8 / 15 = 0.53
The probability can be defined as the chances of having something happening.
Hence we would say that the Approximate assessment probability that next year is temperature year 16 will be in the 90s is 0.53
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Find the measure of x. 15(x+1) 120°
Answer: x=7
Step-by-step explanation: 15x=120, x=8, 8-1= 7 brainliest?
8. A car consumes 25.00 liters of fuel when driving a distance of 400.0 km. How many
gallons will it consume when driving 250.0 miles?
The amount of fuel required to drive 250 miles will be 25.14 liters.
What is an expression?Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a car consumes 25.00 liters of fuel when driving a distance of 400.0 km. The amount of fuel required for 250 miles will be calculated as:-
1 km = 0.6213 miles
400 km = 400 x 0.6213 miles
400 km = 248.52 miles
248.52 miles = 25 litres
1 mile = 25 / 248.52 litres
250 miles = ( 250 x 25 ) / 248.52 litres
250 miles = 25.14 litres
Therefore, the amount of fuel required to drive 250 miles will be 25.14 liters.
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Write each expression in simplest form. (x¹/₂y⁻²/₃)⁻⁶
The given expression can be simplified by using the rule of negative exponent.
In the expression, there are two terms with negative exponent. The second base term y has a negative exponent -2/3. The second negative exponent -6 is applied to both base terms.
The rule states that the negative exponent can be solved by reciprocating the base term i.e. a^-x=1/a^x.
Solving the negative exponent for y,
Hence, x^1/2y^-2/3=x^1/2/y^2/3.
Solving the second negative exponent -6 that applies to both terms, applying the same rule i.e. a^-x=1/a^x.
(x^1/2/y^2/3)^-6=(y^2/3/x^1/2)^6
Multiplying the powers and simplifying,
y^2/3*6/x^1/2*6=y^4/x^3
The simplest form of the expression (x^¹/₂y^⁻²/₃)^-6 is y^4/x^3.
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Simplify. ∛4 - 2∛4
The simplified value of the expression is [tex]-2^{2/3}[/tex].
The cube root of any given number is that number which we can multiply 3 times by itself to get the original number. It is denoted by ∛, for example- the cube root of x will be ∛x. It can also be written as (x)^1/3.
Here, we are given the expression ∛4 - 2∛4
We can also write this expression as follows-∛4 (1 - 2)= ∛4(-1)= - ∛4
Further, 4 can be written as: 2 × 2 = 2² = - (∛2)² = [tex]-2^{2/3}[/tex]
We cannot simplify this expression any further.
Thus, the value of the expression comes out to be [tex]-2^{2/3}[/tex].
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a pine tree is shaped like a cone with a radius of 8 feet and a volume of 3887.2 cubic feet. what is the height of the pine tree?
The height of the pine tree shaped like a cone is 58.03 feet.
What is curverd surafce area of a cone?The curved surface of a cone is when we only consider the surface area of the sides.
We know the general formula for the volume of a cone is (1/3)πr²h.
Given, the volume of a pine tree shaped like a cone is 3887.2 cubic feet also given that it has a radius of 8 feet,
∴ We can obtain the height of the pine tree by equating given volume with the formula and substituting the value of radius.
So, (1/3)π(8)²h = 3887.2.
(1/3).(3.14).(64)h = 3887.2.
(200.96/3)h = 3887.2.
h = (3887.2×3)/200.96.
h = 11661.6/200.96.
h = 58.03 feet.
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