Answer:
The Answer is 1 1/8
Step-by-step explanation:
When Stanley ate 3/8 of a pizza and his brother ate 3/4 of a pizza, the amount eaten in all is 1 1/8 of the pizza.
What is a fraction?A fraction simply means a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Stanley ate 3/8 of a pizza and his brother ate 3/4 of a pizza.
Therefore, the amount eaten by both of them will be:
= 3/8 + 3/4
= 3/8 + 6/8
= 9/8
= 1 1/8.
The amount is 1 1/8.
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
All rational numbers can be written as complex numbers in the form a +bi.
For the number 18, what is the value of a and b?
O a=0 and b = 18
O a=18 and b= 1
O a = 1 and b = 18
O a 18 and b = 0
The correct option a = 18 and b = 0, described the complex number 18.
What is described as the complex number?A complex number is the result of adding a real as well as an imaginary number. A complex number has the formula a + ib and is usually symbolized by the symbol z. Both an as well as b are real numbers in this case. The value 'a' is known as the real part, which is signified by Re(z), and the value 'b' is known as the imaginary part Im (z). ib is also known as an imaginary number.For the given question.
Let R be the rational number.
All rational numbers can be written as complex numbers in the form;
R = a +bi
Where 'a' is the real part and 'ib' is the imaginary part.
The number 18 can be written as;
18 + 0i = 18
As, in number 18 only real part is there.
Thus, a = 18 and b = 0 are correct expression for describing number 18.
To know more about the complex number, here
https://brainly.com/question/10662770
#SPJ13
Please help :)))
1. How are rational exponents and radicals related? Explain how to rewrite an expression from rational exponent form into radical form.
2. Explain how equations involving rational exponents or radicals are solved using the rules of exponents.
3. How do extraneous solutions arise from radical equations?
i'll lichuarlly give you so many points
Every radical can be rewritten has an exponent .
Extraneous Solutions occur because squaring both sides of a square root equation results in 2 solutions (the positive and negative number).
1. Exponents that are written as fractions are referred to as rational exponents.
The top of the rational exponent is the new exponent on the radical, and the bottom of the rational exponent is the root, therefore a rational power can be reinterpreted as a radical in this fashion.
2. Separate the radical expression from the equal sign on one side. Put every every clause over there on the other side. Square both sides of the equation if the radical is a square root. Raise both sides of the equation to the third power if it is a cube root. Write an expression as a radical if the expression has a logical exponent. By examining the exponent's numerator, you may determine the power. By examining the exponent's denominator, you can get the root. Raise the radicand to the power while using the base as the radicand, and use the root as the index.
3. Extraneous Solutions appear because there are two solutions when you square the two sides of a square root equation (the positive and negative number). As a result, one of those figures will represent an extra solution, or a solution that is added but does not satisfy the initial equation.
To learn more about Extraneous Solutions visit:https://brainly.com/question/28362830
#SPJ1
5.36 mixed number simplest form
To write a given number 5.36 in the mixed number is [tex]5\frac{36}{100}[/tex] and in the simplest form it is written as 134 / 25 .
As given in the question,
Given number in decimal form is equal to 5.36
5 is the whole number and 0.36 can be written as 36 /100.
Mixed number of the given number 5.36 is equal to
= 5 ( 36 / 100)
Reduced the mixed number to get the simplest form :
5 ( 36 / 100)
= 5 ( 9 / 25)
= 134 / 25
Therefore, to write a given number 5.36 in the mixed number is [tex]5\frac{36}{100}[/tex] and in the simplest form it is written as 134 / 25 .
Learn more about mixed number here
brainly.com/question/24137171
#SPJ1
What is the area of the shaded figure
Answer:
102 squared in.
Step-by-step explanation:
the shaded area is the whole shape minus the unshaded shape.
calculating the whole shape area:
make sure you add all the width together and then all the height together before multiplying
(10+4) x (3+6) = 14 x 9 = 126 squared in.
calculating the unshaded shape area:
6 x 4 = 24 squared in.
based on the logic from my first sentence in this explanation:
126 - 24 = 102 squared in.
A farmer has harvested 26 bushels of
apples and can harvest 24 bushels of
apples each day. In how many days
will she have more than 100 bushels
to sell? Write an inequality represents
this situation. Solve and graph the
inequality on a number line and write
three answers that can represent x.
Write three solutions to the inequality that can be represented by the numbers x 26 + 24 n > 100.
What does maths' inequality mean?A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,,, or indicate that the two expressions in an inequality are not always equal.
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other
To know more about inequality visit;
https://brainly.com/question/18627972
#SPJ9
The equation of inequality is [tex]26+ 24n > 100[/tex] .
What is inequality?Inequality, is a declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
Make use of the following steps to solve an inequality:
Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator.
Step 2: Simplify the inequality by merging like terms on each side.
Step 3: Add or subtract amounts to get the unknown and the numbers on either side.
In this question it is given that the farmer has 26 bushels of apples
Number of apples he can harvest each day is 24 bushels. This statement indicates that this is not constant.
Thus let us consider a variable say n to represent the inequality.
So we can write it as 24 n.
Also given that she has to sell more than 100 bushels.
The final equation becomes:
Apples present + Number of apples added each day > 100
⇒ 26+ 24n> 100 is the final answer.
To know more about inequality refer to:
https://brainly.com/question/17557685
#SPJ9
the following question
Answer:
angle ODC=30°
Step-by-step explanation:
Parallel to the line now draw another line PQ
The Value Of ( 3+ 4 + 5 ) ° Is Equal To
A) 0 B) 1 C) 12 D) -1
Answer:
( 3+ 4 + 5 ) °
=(3+9)°
=(12)°
C is the answer
please rate as brainliest
5(1 − n) + 3n = 3(n − 1) – 5n
Answer:
8 = 0 (this equation is always false)Step-by-step explanation:
5(1 − n) + 3n = 3(n − 1) – 5n
5 - 5n + 3n = 3n - 3 - 5n
5 + 3 = 5n - 3n + 3n - 5n
8 = 0
this equation is always false
if the semi annual compound interest on rupees 8000 for 3/2 years is rupees 2648, what is the simple interest of the sum at the same rate and time?
The simple interest of the sum at the same rate and time is 2400
What is compound interest ?The interest that is paid on the principal and interest at regular intervals is known as compound interest.The difference between compound interest and simple interest starts to show after the first year, though.Beginning with the second year, interest is computed on both the principal amount and the interest from the prior year. As a result, interest on interest is another name for it.
Given that : Sum =8000 and time = [tex]\frac{3}{2} years[/tex] and rate is 20 %
When rate is calculate half yearly
R becomes [tex]\frac{R}{2}[/tex]
T becomes 2T
A = [tex]P(1+\frac{R}{100} )^{T}[/tex]
C.I = A-P
R = [tex]\frac{20}{2} = 10%[/tex]%
T = 2× [tex]\frac{3}{2} years[/tex] = 3years
A = [tex]P(1+\frac{R}{100} )^{T}[/tex]
A = 8000[tex]\frac{11}{10} ^{3}[/tex]
A = 8 ×1331
A = 10648
Now ,
C.I = A - P
C.I =10648 - 8000
C.I = 2468
The compound interest is 2468
Simple interest
A = P(1+rt)
A = 8000(1+0.2×1.5)
A =10400
S.I =A- P
= 10400 - 8000
=2400
The simple interest of the sum at the same rate and time is 2400
To learn more about simple interest visit :
brainly.in/question/45096843
#SPJ9
an airline has 30 airplanes in los angeles (la), 12 airplanes in st. louis (sl), and 8 airplanes in dallas (d). during an eight-hour period, 20% of the planes in la fly to sl and 10% fly to d. of the planes in sl, 25% fly to la and 50% fly to d. of the planes in d, 12.5% fly to la and 50% fly to sl. how many planes are in each city after 8 hours?
Using proportions, the number of planes in each city after 8 hours is given as follows:
Los Angeles: 25.St. Louis: 13.Dallas: 12.What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication and division, with the given ratios.
One example of application of proportions is for percentage problems, as the total amounts are multiplied by the decimal equivalent of the percentage to find the equivalent amounts.
The planes in Los Angeles after 8 hours are given as follows:
70% of 30 (that were already in Los Angeles).25% of 12(planes that were in St. Louis).12.5% of 8(planes that were in Dallas).Hence the amount is:
0.7 x 30 + 0.25 x 12 + 0.125 x 8 = 25.
The planes in St. Louis after 8 hours are given as follows:
20% of 30 (planes that were in Los Angeles).25% of 12(planes that were already in St. Louis).50% of 8(planes that were in Dallas).Hence the amount is:
0.2 x 30 + 0.25 x 12 + 0.5 x 8 = 13.
Initially, there were 50 planes, and 25 + 13 = 38 are in either Los Angeles or St. Louis, hence the remaining 50 - 38 = 12 are in Dallas.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
How can you change the grouping of the addends. $5.50+$7.83+$3.50 what can they be changed to
They way you can change the grouping of the addends. in $5.50+$7.83+$3.50 is; $5.50 + ($7.83 + $3.50) = ($5.50 + $3.50) + $7.83
How to interpret Algebra Properties?There are different algebraic properties such as;
Commutative Property
Associative Property
Distributive Property
Now, the commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product. For example;
a + b + c = c + a + b or a* b = b * a
Now, the associative property states that the way in which factors are grouped in a multiplication or addition problems does not change the product. For example; x + (y + z) = (x + z) + y
Now, to our question, one way to group the addends using associative property is;
$5.50 + ($7.83 + $3.50) = ($5.50 + $3.50) + $7.83
Read more about Algebra Properties at; https://brainly.com/question/855307
#SPJ1
the amount of sales tax paid on a purchase is proportional to the price of the item. suppose the sales tax rate is 6.25%. if p is the price of the item and t is the sales tax, which equation represents this?
The equation which represents the amount is p = 0.0625 t.
When a consumer buys a good or service from a retailer, sales tax, which is estimated as a percentage, is added to the cost of the item.
Sales tax rate = sales tax percent / 100.
Sales tax = list price * sales tax rate.
Total price including tax = list price + sales tax,
Total price including tax = list price + (list price * sales tax rate),
Total price including tax = list price * ( 1 + sales tax rate)
We have been given
sales tax rate = 6.25%.
The price of the item = p
The sales tax = t
We know that the amount of sales tax paid on a purchase is proportional to the price of the item.
p = 6.25% t
p = 6.25/100 t
p = 0.0625 t.
Hence , P = 0.0625 t is the equation used to represent the amount.
To learn more about Sales tax
https://brainly.com/question/9437038
#SPJ1
another one i don’t get them that’s why
Answer:
x° = 100°
Step-by-step explanation:
Straight line angles add up to be 180°
Angles opposite eachother aka "vertical angles" are the same measurements.
A quadrilateral is plotted on a coordinate plane. Each of the vertices of the quadrilateral undergoes the same transformation.Which transformation does not preserve the lengths of the sides of the quadrilateral?
Explanations :
(a) (x;y) →(x-3 ; -y+2 ) ; this preserves the lengths of the side, with a reflection across the x -axis .
(b) (x;y) →(2x +1 ; y-5 ); this does not preserve the length of sides, because the 2 multiply by x will change the length by factor of 2 .
(c) (x;y) → (-x+6 ;-y -8 ), preserves the lengths of sides, with reflection of y = -x .
(d) (x;y) →(-x -5 ; y+10 ) preserves the lenghts of the sides , with a reflection in the y -axis .
(3+√c) (2√c - 3) = 1 + k√c
where c and k are prime numbers.
(a) Find the value of c and the value of k.
Answer:
c = 5
k = 3
Step-by-step explanation:
We have the expression:
(3+√c) (2√c - 3) = 1 + k √c
Expanding the LHS using the FOIL method =>
(3 + √c) (2√c -3)
= (3)(2√c) + 3(-3) + (√c)(2√c) -√c(3)
= 6√c -9 + 2(√c)² -3√c
= 3√c + 2c - 9 [(√c)² = c]
Setting this equal to the RHS of 1 + k√c gives us
3√c + 2c - 9 = 1 + k √c
Since c and k are prime numbers, √c is irrational.
Therefore we match the irrational terms to get
3√c = k√c
=> k = 3 [divide both sides by √c]
Substitute k = 3 into 3√c + 2c - 9 = 1 + k √c
=> 3√c + 2c - 9 = 1 + 3√c
Add 9 to both sides
=> 3√c + 2c - 9 + 9 = 1 + 9 + 3√c
=> 3√c + 2c - 0 = 10 + 3√c
Subtract 3√c from both sides to eliminate this term on both sides
=> 3√c - 3√c + 2c - 0 = 10 + 3√c 3√c
=> 0 + 2c = 10 + 0
=> 2c = 10
Dividing by 2 on both sides gives us
c = 5
Answer: c = 5, k = 3
Which angle is an acute angle?
Answer:
<CPB
Step-by-step explanation:
Because <APE= right angle
<APC= Obtuse angle
<CPE= Obtuse Angle.
Also, <CPB because its the only angle below 90 degrees and an acute angle must be below 90 degrees.
any number raised to the 2nd power is said to be
A skateboard in a
store in Charlottetown, PEI, costs
$39.99. It is on sale for 30% off.
The taxes are 16%. What is the sale
price of the skateboard including taxes?
A student says, “$39.99 – 30% discount
+ 16% taxes is the same as calculating
$39.99 – 14%.”
Is the student’s reasoning correct?
Answer:
No, the reasoning is not correct.
Step-by-step explanation:
39.99 x .14 = 5.5986 Does it make sense that the sales price plus the tax would be $5.60? Doesn't that seem really low?
39.99 x .3 = 11.997 is the amount that we are taking off of the original price.
39.99 - 12 (Rounded to the nearest cent) is 27.99.
Now we pay the tax on the discounted amount of the item.
27.99 x .16 = 4.4784 or 4.48 rounded to the nearest cent.
The out the door cost of the item
is 27.99 + 4.48 = 32.48
Can you help me with this math question
Answer:
70
Step-by-step explanation:
Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other.
The rate of the slow hike is 2.2 mph and the rate of the faster hiker is 4.4 mph.
Here in this issue, we are managing linear equations which is a condition of one variable regularly composed within the form ax+b=0 , where a and b are real numbers and x is an unknown variable. Solutions to linear equations allude to a linear equation that can have zero, one, or infinitely various solutions. A linear equation with no solutions simplifies to an untrue statement such as 1=0. A linear equation with one solution rearranges to a solution of the form x=n where n may be a real number. A Linear equation with infinitely various solutions simplifies to a true statement without a variable such as 1=1.
Here we considering the rate of the slow hiker to be x, so the rate for the fast hiker will be x+2.2
Since we know that distance = speed * time
therefore, the Distance covered in 5 hours by a slow hiker is 5x , wheras for fast hiker it will be 5(x+2.2)=5x+11 km
As we are given the condition that it i they are 33 miles apart, So
=>5x + 5x+11 = 33
=>10x = 33-11
=>10x = 22
x =22/10 => 2.2
So the rate of a slow hiker is 2.2 mph and the rate of a fast hiker is x+4.4= 4.4 mph.
To know more about linear equations refer to the link brainly.com/question/11897796?referrer=searchResults.
#SPJ1
.3. Apex Car Share Inc. offers car sharing for a $99 yearly fee plus $19 per hour for the use
of its car share. Write the equation that models the total cost for use of Apex Car Share, if
t represents the total cost and h represents the number of hours the vehicle is used.
The required equation is 99 + 19 h = t .
What is linear equation?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
Given: Total cost = t
and the number of hours the vehicle is used = h hours
Since $99 is supposed to given that is, it is mandatory.
And $19 is supposed to be paid for per hour use.
Thus the equation is ;
99 + 19 h = t ; where t is total cost and h is number of hours the vehicle is used
To know more about linear equation visit:
https://brainly.com/question/13738061
#SPJ13
EASY TRIG MATHEMATICS QUESTION! PLEASE HELP ME SOLVE! THANK YOU!
PLEASE LOOK AT IMAGE!
Based on table shown above, we have that: A. Yes, the table describe a function.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
Based on table shown above, we have the following parameters:
Input value Output value
2001 30
2002 60
2003 30
2004 50
2005 40
In conclusion, we can reasonably infer and logically deduce that this table is a function because it has the different input values (x-values) for different or the same output values (y-values).
Read more on function and tables here: brainly.com/question/3632175
#SPJ1
graph the linear equation 2x-4y=0
A graph of the linear equation (2x - 4y = 0) is shown in the image attached below.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
Generally speaking, the graph of any proportional relationship such as a linear equation is characterized by a straight line because as the values on the x-axis increases or decreases, the values on the y-axis increases or decreases simultaneously as shown in the image attached below.
In conclusion, a graph which represents the linear equation (2x - 4y = 0) shows a proportional relationship between the value of x and y.
Read more on graphs here: brainly.com/question/4546414
#SPJ1
11 Amelia has a rectangular table that measures 4 feet wide and 5 feet long. She rotates the table 90° clockwise so that it fits better in the room. What is the length in feet of the table after the rotation?
The only possible answer that would match the simplified inequality is the first answer choice .i.e., -5c + 2 _< _27
What is the mathematical operation?An operation, often known as "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by number of operands.
Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are operations that are most frequently studied. A constant is operation with arity zero, often known as a nullary operation. An example of an operation of arity 3, sometimes known as ternary operation, is the mixed product.
The arity typically assumed to be limited. The "typical" operations of finite dimensionality are referred to finiteary operations when infinitary operations are taken into consideration.
Similar to an operation, but with partial function in place of a function, is the definition of a partial operation.
A closed or filled-in circle represents greater/lesser or equal to symbol (> or with the line at the bottom).
You must flip the inequality sign when multiplying or dividing when one of terms is negative on both sides. In inequality equations, this rule only holds when multiplying or dividing by negative value. This rule is very crucial.
-5c + 2 _< _27
subtract from both sides by 2
-5c _< _ 27
divide both sides by -5
c _< _ 5.4
flip the inequality sign
c _> _5.4
To know more about mathematical operations visit: https://brainly.com/question/20628271
#SPJ9
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
the answer to number 2 is: y=-4x-26
The answer to number 3 is y=5/2x+54
Step-by-step explanation:
If the quadratic equation is
y=x²
what is y when x = 3
Plug in 3 in the place of x and simplify
[tex]y=(3)^{2} \\y=3*3\\y=9[/tex]
y=9
DOMAIN AND RANGE, ANSWER ALL
The function is decreasing.
The domain is the set of x-values.
Interval: [tex](-\infty, \infty)[/tex]Inequality: [tex]-\infty < x < \infty[/tex]The range is the set of y-values.
Interval: [tex](0, \infty)[/tex]Inequality: [tex]x > 0[/tex]5x3 × 2xy × 3xy2 is equivalent to
A.10x3y2
B.10x5y3
C.30x3y3
D.30x5y3
E.30x5y2
D
Step-by-step explanation:
....................
Lesson 1.2.2 Exit Ticket
Brown is making treat bags to give away on Halloween. He has 81 Snickers bars and 54 KitKat bars. He
ants to use all of the candy by making as many identical bags as possible.
a. How many treat bags can he make using all of the candy?
The most appropriate choice for LCM will be given by
He can make 162 treat bags using all the candy.
What is LCM?
Suppose a and b are two numbers. LCM of a and b is the lowest common multiple of a and b. LCM of a and b is the lowest number that is divisible by both a and b.
Here,
Number of Snicker bars = 81
Number of kitkat bars = 54
Brown wants to use all of the candy by making as many identical bags as possible.
Number of treat bags he can make using all of the candy = LCM of 81, 54
81 = 3 x 3 x 3 x 3
54 = 2 x 3 x 3 x 3
LCM = 3 x 3 x 3 x 3 x 2
= 162
He can make 162 treat bags using all the candy.
To learn more about LCM, refer to the link:
brainly.com/question/16054958
#SPJ9
The formula for the circumference of a circle with diameter d is C = nd.
a. Solve the formula for d.
b. The circumference of a circle is 8 inches. What is the diameter of the circle?
Part (a)
[tex]C=\pi d \implies d=\frac{C}{\pi}[/tex]
Part (b)
[tex]d=\frac{8}{\pi}[/tex]