Answers
Answer:
1. -9/20
2. 1 7/12
3. -4 1/3
Step-by-step explanation:
When adding and subtracting fractions with unlike denominators, you must first make them like denominators. To do this we must:
1. Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).
2. Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.
3. Then add (or subtract) the fractions, as we wish!
The easiest way to this is by multiplying the denominators. Remember that whatever you do to the bottom, you also do to the top
1. -5/4 +4/5
if we multiply 4 and 5, we get 20. Our denominator will be 20 before we simplify.
our new equation is going to be -25/20 + 16/20. Now we can add these together to get an answer of -9/20. Which is in the simplist form.
One more thing: to make a mixed number an improper fraction, you multiply the whole number by the denominator, and add the numerator.
1X4=4
4+1=5
The improper fraction is 5/4.
To make a Whole number a fraction, multiply the number by the denominator
-5x3=15
The improper is -15/3.
To go from an improper to a mixed, divide the numerator by the denominator. The remainders are going to be the fraction attached.
Related Questions
Evaluate the expression and write your answer in the form a + bi. 1) (2-6i)+(4+2i)2) (6+5i)(9-2i)3) 2/(3-9i)4) (3 − 5i)(7 − 2i)
Answers
Answer:
Step-by-step explanation:
Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.
1) (2-6i)+(4+2i)
open the parenthesis
= 2-6i+4+2i
collect like terms
= 2+4-6i+2i
= 6-4i
2) (6+5i)(9-2i)
= 6(9)-6(2i)+9(5i)-5i(2i)
= 54-12i+45i-10i²
= 54+33i-10i²
In complex number i² = -1
= 54+33i-10(-1)
= 54+33i+10
= 54+10+33i
= 64+33i
3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i
= 2/3-9i*3+9i/3+9i
=2(3+9i)/(3-9i)(3+9i)
= 6+18i/9-27i+27i-81i²
= 6+18i/9-81(-1)
= 6+18i/9+81
= 6+18i/90
= 6/90 + 18i/90
= 1/15+1/5 i
4) For (3 − 5i)(7 − 2i)
open the parenthesis
= 3(7)-3(2i)-7(5i)-5i(-2i)
= 21-6i-35i+10i²
= 21-6i-35i+10(-1)
= 21-41i-10
= 11-41i
Simplified form of the given expressions will be,
1). 6 - 4i
2). 64 + 33i
3). [tex]\frac{1}{15}+\frac{1}{5}i[/tex]
4). [tex]\frac{31}{53}-\frac{31}{53}i[/tex]
1). In a complex number (a + bi),
a = Real part of the complex number
bi = Imaginary part
Expression given in the question → (2 - 6i) + (4 + 2i)
Rule to solve the given expression,
"Add real part and imaginary part of two complex numbers separately"
(2 - 6i) + (4 + 2i) = (2 + 4) + (-6i + 2i)
= 6 + (-4i)
= 6 - 4i
Therefore, simplified form of the given expression will be (6 - 4i).
2). Given expression → (6 + 5i)(9 - 2i)
Rule to solve the expression → i² = -1
(6 + 5i)(9 - 2i) = 6(9 - 2i) + 5i(9 - 2i)
= 54 - 12i + 45i - 10i²
= 54 - 12i + 45i + 10 [Since, i² = -1]
= (54 + 10) + (45i - 12i)
= 64 + 33i
Therefore, simplified form of the given expression will be (64 + 33i).
3). Given expression → [tex]\frac{2}{3-9i}[/tex]
Multiply numerator and denominator with the conjugate of (3 - 9i) to convert the expression into (a + bi).
[tex]\frac{2}{3-9i}= \frac{2(3+9i)}{(3-9i)(3+9i)}[/tex]
[tex]=\frac{2(3+9i)}{3^2-(9i)^2}[/tex]
[tex]=\frac{6+18i}{9-81(-1)}[/tex]
[tex]=\frac{6+18i}{9+81}[/tex]
[tex]=\frac{6+18i}{90}[/tex]
[tex]=\frac{6(1+3i)}{90}[/tex]
[tex]=\frac{1}{15}+\frac{1}{5}i[/tex]
Therefore, simplified form of the given expression will be [tex]\frac{1}{15}+\frac{1}{5}i[/tex]
4). Given expression → [tex]\frac{(3-5i)}{(7-2i)}[/tex]
Multiply numerator and denominator with the conjugate of the denominator.
[tex]\frac{(3-5i)}{(7-2i)}=\frac{(3-5i)(7+2i)}{(7-2i)(7+2i)}[/tex]
[tex]=\frac{3(7+2i)-5i(7+2i)}{7^2-(2i)^2}[/tex]
[tex]=\frac{21+4i-35i-10i^2}{49-4(-1)}[/tex]
[tex]=\frac{21-31i+10}{53}[/tex]
[tex]=\frac{31-31i}{53}[/tex]
[tex]=\frac{31}{53}-\frac{31}{53}i[/tex]
Therefore, simplified form of the given expression will be [tex]\frac{31}{53}-\frac{31}{53}i[/tex].
Learn more,
https://brainly.com/question/2571267
which statement most accurately describes what can happen to jobs in a bad economy
Answers
Ansewern
I think you forgot the stament and please add it so i can helpyou out with it.
Step-by-step explanation:
gordon drives 220 miles from new york to boston in 4 hours. what is his car's average speed?
Answers
Answer:
55 mph
Because he drives to new york to boston in 4 hours and its 220 miles so 220 is the miles and you divide by the hours so 4 hours so he drove 55 mph
Negotiating in trade means you are ________
A. coming to an agreement on an item's value
B. discussing how to get to market
C. calculating your total cost
D. exchanging a damaged good
Answers
Negotiating in trade means you are coming to an agreement on an item's value option (A) is correct.
What is negotiation?The goal of negotiation is to obtain an agreement on one or more contentious issues between two or more parties.
As we know,
On the other hand, trade negotiation is a procedure whereby countries come together to talk about the potential for trade with the aim of arriving at a trade agreement.
When you bargain in trade, you're settling on a price for a product.
Thus, negotiating in trade means you are coming to an agreement on an item's value option (A) is correct.
Learn more about the negotiations here:
https://brainly.com/question/28461798
#SPJ2
Give two points with integer coordinates that have a slope of 5/7 between them.
Answers
Answer:
(2,3) and (7,10)
Step-by-step explanation:
Use the slope 5/7 to get to a new point by moving up 5 units and moving to the right 7 units.
If the coordinate point is (x, y) then the coordinate of the other point will be (x + 5, y + 7).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The slope is the ratio of the rise or fall and run.
The slope is 5/7. The rise is 5 and the run is 7.
If the coordinate point is (x, y) then the coordinate of the other point will be (x + 5, y + 7).
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
Write with a single exponent 1/10*1/10*1/10
Please help
Answers
Answer:
[tex] {10}^{3} [/tex]
An angle measuring 32 degrees has a complement that measures (2x - 16)degrees. What is the value of x? (and the steps)
Answers
Answer:
37°
Step-by-step explanation:
32+2x-16=90
2x+16=90
2x=90-16
2x=74
x=37
A teacher raised a total of $135 for school supplies. He divides the money evenly among his 10 students.
Answers
Answer:
Each gets $13.5
Step-by-step explanation:
135/10= 13.5
Multiply the polynomial expressions below.
(7x + 5)(2x^3 - 4x^2 + 9x - 3)
Answers
Answer:
14x^8-18x^3+43x^2+24x-15
What is the value of x (3x-10)° 149
Answers
Steps to solve:
(3x - 10) = 149
~Add 10 to both sides
3x = 159
~Divide 3 to both sides
x = 53
Best of Luck!
If it is an addition problem with different signs what do you do
Answers
Answer:
To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
plz give brainlist
hope this helped
Sin(x)=x- x3/3!+x5/5!-x7/7!+....The percentage relative approximate error in using three terms to find sin(4.1) is ______percent.
Answers
Answer:
The answer is "239.62%".
Step-by-step explanation:
Given value:
[tex]\bold{\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!} - \frac{x^7}{7!}+....}[/tex]
Solve the first three values:
[tex]\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!}[/tex]
put the value of sin(4.1):
[tex]\to \sin(4.1)=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\[/tex]
[tex]=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\=(4.1)- \frac{68.92}{3 \times 2\times 1}+\frac{1158.56}{5\times 4 \times 3 \times 2 \times 1}\\\\[/tex]
[tex]=(4.1)- 11.48+9.65\\\\= 2.27[/tex]
The actual value of [tex]\sin(4.1) = -1.59[/tex]
Calculating the percentage relative approximate error value:
Formula:
[tex]=\frac{actual \ value - \ approx \ value }{actual \ value} \times 100\\\\[/tex]
[tex]=\frac{-1.59 - 2.27 }{-1.59} \times 100\\\\= \frac{-3.81}{-1.59} \times 100\\\\= \frac{3.81}{1.59} \times 100\\\\=239.62 \ \%[/tex]
Sonia wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 in² how much ribbon must she by to have the exact amount that she needs
Answers
Answer:
12 in
Step-by-step explanation:
she has square pillow, so 12*12=144 sq in
A 6- foot roll of waxed paper costs $3.60. What is the price per inch?
Answers
Step-by-step explanation:
hope this helps
20 cent per inch
!!!URGENT!!! Read Image Below.
Answers
Answer:
[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]
Step-by-step explanation:
Given the equation, [tex] 3x^2 - 6x + 8 = 0 [/tex], the quadratic formula for solving this equation is given as:
[tex] x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
Where,
a = 3
b = -6
c = 8
Plug in the above values into the quadratic formula.
[tex] x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]
[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]
what is 3.825 as a fraction with a guide?
Answers
Answer:
3 33/40 or 153/40
Step-by-step explanation:
For first answer change the decimal .825 into fraction by making it over 1000. Then Simplify. For the second answer, take the first answer, multiply 3 with 40 and add 33. In the end both answers are equivanlent.
2.5 8.7 *** 9.6 4.6 *** 5.1 9.9 *** 10.0 6.0 10.3 *** 10.5 6.5 *** 6.6 11.6 8.5 12.0
Consider the sample of n = 20 scores. Notice that they are listed in order from 2.5 to 12.0,
but that some of the scores are obscured by ***. The mean, M, of these scores is 8.0. Suppose you are asked for the sample standard deviation of these scores. Since you don't have all of them, you cannot calculate it. Which of the following is the best estimate of the sample standard deviation?
a. 9.5
b. 0.5
c. 6.4
d. 2.7
Answers
Answer:
D. 2.7
Step-by-step explanation:
Given
[tex]Mean = 8.0[/tex]
[tex]n = 20[/tex]
[tex]Range = 2.5\ to\ 12.0[/tex]
Required
Estimate the standard deviation
Since, the given data has incomplete parameters, we can apply the range rule to estimate the standard deviation;
This is done as follows;
[tex]S.D = \frac{1}{4}(Max - Min)[/tex]
In this case:
[tex]Max = 12.0[/tex]
[tex]Min = 2.5[/tex]
So:
[tex]S.D = \frac{1}{4}(Max - Min)[/tex]
[tex]S.D = \frac{1}{4}(12.0 - 2.5)[/tex]
[tex]S.D = \frac{1}{4}(9.5)[/tex]
[tex]S.D = 2.375[/tex]
From the list of given option, the closest to 2.375 is 2.7;
Hence, the best estimate is 2.7
The correct option is D. 2.7
Given that,
The mean is 8.0.the n = 20.The range is from 2.5 to 12.0The calculation is as follows:The standard deviation should be
[tex]= \frac{1}{4} (12 - 2.5)\\\\ = \frac{1}{4} (9.5)[/tex]
= 2.375
= 2.7
Find out more information about standard deviation here:
https://brainly.com/question/12402189?referrer=searchResults
The scale of a map is 1 in = 11.9 miles. How many inches will be drawn on the map to represent 30.9 miles?
Answers
Answer:
2.60 inches
Step-by-step explanation:
Map and actual distances are proportional. So the map distance m for 30.9 miles will be related to the actual distance in the same way the scale is:
m/30.9 = 1/11.9
m = 30.9/11.9 ≈ 2.5967
The length on the map is about 2.60 inches.
Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,
determine the numerical length of TU.
Answers
Answer:
5 units
Step-by-step explanation:
If point T is on the line segment SU, then ST + TU = SU.
Given
TU = 4x + 1
SU = 8
ST = 3x
To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;
3x+4x+1 = 8
7x+1 = 8
subtract 1 from both sides
7x+1-1 = 8-1
7x = 7
divide both sides by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the length TU
Since TU = 4x+1
TU = 4(1)+1
TU = 5
Hence the numerical length of TU is 5 units
Write an equation in slope intercept form that is parallel to y = 3x + 4 and goes through the point (-1,5)
Answers
Answer:
Step-by-step explanation:
y - 5 = 3(x + 1)
y - 5 = 3x + 3
y = 3x + 8
answer is C
What is the relative size of (how many times as large) a circle's' circumference C to its diameter, d
Answers
Answer:
The circumference is pi times larger than the diameter of a circle.
Step-by-step explanation:
The formula of the circumference of a circle is
C = 2(pi)r = (pi)d
C = (pi)d
To find the ratio of the circumference to the diameter, divide both sides of the equation by d.
C/d = pi
The circumference is pi times larger than the diameter of a circle.
Write the equation of a line that is parallel to y = 1/2 x + 5
that passes through the point (2,6).
Answers
Answer:
y = 1/2x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
When 2 lines are parallel, they have the same slope.
Step 1: Define variables
Random point (2, 6)
m = 1/2
y = 1/2x + b
Step 2: Find b
6 = 1/2(2) + b
6 = 1 + b
5 = b
Step 3: Rewrite parallel linear equation
y = 1/2x + 5
2. What fractional part of the quadrilateral is not shaded?
Answers
Answer:
plz show the pic so I can understand
write the number 3/100 as a decimal.
Answers
Answer:
Step-by-step explanation
0.03.
which statement correctly describes the expression
Answers
Answer:
c
Step-by-step explanation:
choice A means
[tex]11 - 2 {m}^{3} [/tex]
choice B means
[tex]2m - 11[/tex]
choice C means which is the answer
[tex] {2m}^{3} - 11[/tex]
choice D means
[tex] {(2m)}^{3} - 11[/tex]
hope it helps ❤❤❤
For any question comment me
Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.028; confidence level: 99%; p and q unknownA) 1116B) 2115C) 1939D) 2223
Answers
!Need help!
Solve using Substitution Method
2x + 5y = 7
x = 2 - 4y
Answers
Answer:
x = 6y = - 1Step-by-step explanation:
2x + 5y = 7 ......... Equation 1
x = 2 - 4y .......... Equation 2
Substitute x that's equation 2 into equation 1 and solve for y
That's
2( 2 - 4y ) + 5y = 7
4 - 8y + 5y = 7
- 3y + 4 = 7
- 3y = 7 - 4
- 3y = 3
Divide both sides by - 3
y = - 1
Substitute the value of y into equation 1
That's
x = 2 - 4(-1)
x = 2 + 4
x = 6
Therefore the solutions are
x = 6y = - 1Hope this helps you
Give EG = 5x+7 EF =5x and FG=2x-7
Answers
Answer:
x = 7
42, 35, 7
Step-by-step explanation:
EG = 5x+7 EF = 5x FG = 2x-7Point F is on line segment of EG, therefore EG = EF + FG
5x + 7 = 5x + 2x - 72x = 14x = 7Then
EG = 5*7 + 7 = 42EF = 5*7 = 35FG = 2*7 - 7 = 7ILL GIVE YOU BRAINLIST !!! Evaluate
4x – 2m
Answers
Answer:
m = 2x
Step-by-step explanation:
Simplifying
4x + -2m = 0
Reorder the terms:
-2m + 4x = 0
Solving
-2m + 4x = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-2m + 4x + -4x = 0 + -4x
Combine like terms: 4x + -4x = 0
-2m + 0 = 0 + -4x
-2m = 0 + -4x
Remove the zero:
-2m = -4x
Divide each side by '-2'.
m = 2x
Simplifying
m = 2x
Answer:
Step-by-step explanation:
4x - 2m = 4*8 - 2*3 = 32 - 6 = 26
For the function f(x)=-1/3x-2, find the value of x for which f(x)=x.
Answers
Step-by-step explanation:
f(x)=-1/3x-2=x
3x²-2x-1=o
(3x-1)(x+1)=o
x=1/3(or)x=-1