Answer:
First of all, you are going to add
5
x
to each side. This will give you a new equation of
8
x
=
16
. The reason you add 5 is because you want to get rid of the -5x on the right. When you add 5 it changes to 0x. Anything times 0 equals 0. The next step is to divide both sides by 8. The reason you divide is to get x alone. When you divide 8x by 8, you get 1x. 1 times anything equals what the other thing is. For example, 1 times 4 is 4. This will give you your answer of
x
=
2
Write m = 21 - 72i as an ordered pair in an Argand diagram.
Answer:
m = 21 - 72·i in an ordered pair = (21, -72)
Step-by-step explanation:
Graphing complex numbers involves the application of the methodology of graphing real numbers on the coordinate plane in addition to the Argand coordinate plane to form the complex coordinate plane, such that where the complex number is of the form a + bi, the real part of the complex number, a, is taken as the x-coordinate value while the imaginary part, b, is taken as the y-coordinate value
As such to represent the complex number as an ordered pair, we have;
a + bi is equivalent to (a, b)
Therefore;
To write the complex number, m = 21 - 72·i as an ordered pair in an Argand diagram, we have;
m = 21 - 72·i in an ordered pair = (21, -72).
Star A is 5.23\times10^75.23×10 7 light years away from Earth, while Star B is 7.1\times10^57.1×10 5 light years away. Which star is closer to Earth?
Answer:
Star B
Step-by-step explanation:
If Star A is 5.23*10^7 light years away from earth, and star B is 7.1*10^5 light years away from earth, then the closest Star to earth is Star B.
this is because a light year is 9.461*10^15 m away, if we multiply this, then Star A is 4.948*10^23 m away from earth, and Star B is 6.717*10^21 m away from earth, and this makes it closer when compared to Star A.
is 74/100<8/10 < 6 tens?
Answer:
No
Step-by-step explanation:
Alrighty let's put this in decimal mode
.74<.80<.60
this statement is false considering .80 is not greater than .60
What is the solution to this system of equations?
x + 3y - z = 6
4x - 2y + 2z= -10
6x + z= -12
(an explanation would be great because i barely understand how to do this)
Answer:
[tex]x=-3, y=5, z=6[/tex]
Step-by-step explanation:
1. Divide by 2 both sides in the second equation:
[tex]4x - 2y + 2z= -10[/tex] [tex]2x - y + z= -5[/tex]2. From the third equation find z in terms of x:
[tex]6x + z= -12[/tex] [tex]z= -6x-12[/tex]3. Add up the first and new second equations and find y in terms of x:
[tex](x+2x)+(3y-y)+(-z+z)=6+(-5)[/tex] [tex]3x+2y=1[/tex] [tex]2y=1-3x[/tex] [tex]y=0.5-1.5x[/tex]4. Put new alternatives instead of y and z in the first equation:
[tex]x+3(0.5-1.5x)-(-6x-12)=6[/tex] [tex]x+1.5-4.5x+6x+12=6[/tex] [tex]2.5x=-7.5[/tex] [tex]x=-3[/tex]5. Now we can easily find other two unknowns by using their equations by means of x:
[tex]y=0.5-1.5\times(-3)[/tex] [tex]y=0.5+4.5[/tex] [tex]y=5[/tex][tex]z=-6\times(-3)-12[/tex] [tex]z=18-12[/tex] [tex]z=6[/tex]Answer:
Step-by-step explanation:
2x + 6y - 2z = 12
12x - 6y + 6z = -30
14x + 4z = -18
6x + z = -12
14x + 4z = -18
-24x - 4z = 48
-10x = 30
x = -3
6(-3) + z = -12
-18 + z = -12
z = 6
-3 + 3y - 6 = 6
-9 + 3y = 6
3y = 15
y = 5
x = -3, y = 5, z = 6
A triangle has a base of 10 cm its other sides are both 13cm long calculate the area
Answer:
60 cm^2
Step-by-step explanation:
Question 4 Find the value of a and YZ if Y is between X and Z.
XY = 3a - 4, YZ = 6a + 2, XZ = Sa + 22
a=?
YZ=?
Answer:
a = 6YZ = 38Step-by-step explanation:
The segment addition theorem tells you ...
XY +YZ = XZ
(3a -4) +(6a +2) = (5a +22)
4a = 24 . . . . . . . . add 2-5a and simplify
a = 6 . . . . . . . . . . divide by 4
Then the length of YZ is ...
YZ = 6a+2 = 6(6) +2
YZ = 38
Let f(x) = 2x + 2. Solve f−1(x).
Answer:
f^-1(x) = x/2 -1Step-by-step explanation:
[tex]f(x) = 2x + 2\\\\f^-^1 (x) = ?[/tex]
Let y equal to the given equation ;
[tex]y = 2x+2\\[/tex]
Solve for x ;
[tex]y-2 = 2x\\Divide \:both\:sides\:of\:the\:equation\:by \:2\\\\\frac{y}{2} - \frac{2}{2} = \frac{2x}{2} \\\\\frac{y}{2} -1 =x\\\\x = \frac{y}{2} -1[/tex]
Change the y back to x
[tex]x = \frac{x}{2} -1 \\\\f^-^1(x) = \frac{x}{2} -1[/tex]
If the length of a rectangle is x, and the width is x+3, what is the perimeter of the rectangle?
A classroom has 12 juniors and 23 seniors. There are no other students in the
class. What percentage of the students are seniors?
Answer:
66%
Step-by-step explanation:
To find the percentage, we can use this formula:
Part/Whole
In this case, the Part=Seniors and Whole=All of the students in the class
Part/Whole
23/(23+12)
=23/35
=0.65714
=0.66
=66%
if some one bakes 150 cookies and eats 10% how many did she eat
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{15 \: cookies}}}}[/tex]
Step-by-step explanation:
Total cookies = 150
percentage of cookies that she ate = 10 %
To find : Number of cookies that she ate
[tex] \sf{10\% \: of \: 150}[/tex]
To convert percent into fraction, divide it by 100 and remove the % symbol.
⇒[tex] \sf{ \frac{10}{100} \times 150}[/tex]
⇒[tex] \sf{15 \: cookies}[/tex]
Thus, She ate 15 cookies.
Hope I helped!
Best regards!!
Find the area of this parallelogram.
8.9 cm
7.1 cm
11.4 cm
==================================================
Work Shown:
Area of parallelogram = base*height
Area of parallelogram = 11.4*7.1
Area of parallelogram = 80.94 square cm
-------------
notes:
The base and height always form a 90 degree angle (as shown by the small square marker).The side length of 8.9 cm is never used.We can write "square cm" as "cm^2" or [tex]\text{ cm}^2[/tex]Answer:
80.94Step-by-step explanation:
[tex]A = b \times h\\b = 11.4\\h = 7.1\\\\A = 11.4\times 7.1\\\\Area = 80.94[/tex]
pretty sure i know the answer. will reward brainliest just because.
500 because 80% of 500 is 100
When a problem involves more than one unit for a characteristic (such as length), now can you tell which unit is more appropriate to report the answer in?
Answer:
For larger measurements, we use larger unit while for smaller measurement we use smaller unit.
Step-by-step explanation:
Normally, For larger distances we make use of larger units while for smaller distances we make use of smaller units.
For example, if we consider the distance travelled by a person in some days;
For 15000 units distance; We can represent this value as 15 Kilometers
For 800 units distance; Rather than using kilometers, it would be better to represent it in meters as 8 meters.
Also, For 70 units distance; Instead of kilometers or meters, 70 cm would be a better unit of representation.
Likewise, If we consider some 3 dimensional shapes holding some substances,
For 7000 units, best unit of weight representation would be 7 Kg
For 600 units, instead of in kg, best unit of weight representation would be 600 grams
For 50 units, best unit of weight representation would be 50 grams
So, looking at the examples given in both weight and distances, we will conclude that for larger measurements, we use larger unit while for smaller measurement we use smaller unit.
Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A (first text box) Write and solve an inequality to show how many pendants Kelsey should make. Show the steps of your solutions. Part B (second text box) Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit? Answer in a complete sentence.
Answer:
Additional 26 pendants are to be sold to make profit.
Step-by-step explanation:
Rent of booth at the craft fair = $200
Cost of material for each pendant = $7.80
Let Kelsey makes [tex]x[/tex] number of pendants.
To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for [tex]x[/tex] number of pendants.
Cost of material for [tex]x[/tex] number of pendants = Cost of material for each pendant multiplied by number of pendants
Cost of material for [tex]x[/tex] number of pendants = $7.80 [tex]\times[/tex] [tex]x[/tex]
So, total cost = $200 + $7.80 [tex]\times[/tex] [tex]x[/tex]
Now, each pendant is sold at $13.50
So, total money made by selling [tex]x[/tex] pendants = $13.50 [tex]\times[/tex] [tex]x[/tex]
For making profit, total money made must be greater than the total cost.
Therefore, the inequality becomes:
[tex]\bold{13.50 \times x > 200+7.80\times x }[/tex]
Let us solve the inequality now:
[tex]13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}[/tex]
So, at least 36 pendants are to be sold to make a profit.
Additional 36-10 = 26 pendants are to be sold to make profit.
The HCF of two numbers is 8. One of the numbers is between 20 and 30. The other number is
between 40 and 60. What are the two numbers?
Answer: the numbers are 24 and 56
5x + 13-14 or-4x + 6< 10
Answer:
5x - 1 or x>−1
Step-by-step explanation:
Just combine like terms: 13,-14
Combine like terms: 6,10
Divide by -4:-4x/-4<4/-4
conjecture the next number in the sequence 20 18 15 11 6
Answer:
0 it went minus 2 minus 3 minus and so forth
Please fast
Silakan
Answer:
the answer is 22/9 .
Step-by-step explanation:
convert the mixed fractions into improper fractions and then divide the ratios
Assets- an item of value that you OWN_______________
What is a common factor of both x^2-9 and x^2+x-6
Answer:
x^2 - 3
Step-by-step explanation:
they both contain the variable of x^2 and -3 when factored out it would be
3 and x + 2
Help I will give Brainlyist
Answer:
its A - 3 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
23/4 / 3/2
23/4 x 2/3
3 5/6
PLEASE ANSWER ASAP!!! Solve for X. 15=7x+3-5x X=_(simplify your answer)
Answer:
X=6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
15=7x+3−5x
15=7x+3+−5x
15=(7x+−5x)+(3)(Combine Like Terms)
15=2x+3
15=2x+3
Step 2: Flip the equation.
2x+3=15
Step 3: Subtract 3 from both sides.
2x+3−3=15−3
2x=12
Step 4: Divide both sides by 2.
2x2=122
x=6
Answer:
x=6
Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why?? a.Holly is correct. Repeating decimals are always rational numbers. b.Holly is correct. The number is positive and all positive numbers are rational. c.Holly is incorrect. The decimal does not terminate, so it cannot be a rational number. d.Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Answer:
Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
so D is the correct option
Step-by-step explanation:
The numbers follow a pattern but if you take a closer look you will see that the numbers do not repeat even though they still use the numbers 1, and 3 doesn't mean there a rational number.
Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
What is a rational number?The numbers follow a pattern but if you take a closer look you will see that the numbers do not repeat even though they still use the numbers 1, and 3 doesn't mean there is a rational number.
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
Hence, the decimal part follows a pattern but does not actually repeat.
More about the rational number link is given below.
https://brainly.com/question/9466779
#SPJ2
A ship travels a distance of 200 nautical miles in 10 1/2 hours. how many knots did the ship average each hour? (One knot equals 1 nautical mile per hour) Provide explination please
Answer:
19.05 knots average per hour
Step-by-step explanation:
Distance traveled = 200 nautical miles
Time taken = [tex]10\frac{1}{2}[/tex] hours = [tex]\frac{10\times2+1}2=\frac{21}{2}[/tex] hours
To find:
How many knots did the ship average each hour ?
Solution:
Here, we are given the distance traveled and total time taken to travel the distance.
As per question statement, we have to find the average speed of the ship.
Formula for average speed is given as:
[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]
Putting the values in the formula:
[tex]\Rightarrow \text{Average Speed = }\dfrac{200}{\frac{21}{2}}\\\Rightarrow \text{Average Speed = }\dfrac{200\times 2}{21}\\\Rightarrow \text{Average Speed = }\dfrac{400}{21}\\\Rightarrow \text{\bold{Average Speed = 19.05 nautical miles per hour}}[/tex]
It is also given that 1 nautical mile per hours is equal to one know.
Therefore, the average speed can be written as:
19.05 knots average per hour
what does x equal in the equation − 6 x − 15 = 4 x + 35?
Answer:
x = -5
Step-by-step explanation:
− 6 x − 15 = 4 x + 35
Add 6x to each side
− 6 x+6x − 15 = 4 x+6x + 35
-15 = 10x+35
Subtract 35 from each side
-15-35 = 10x+35-35
-50 = 10x
Divide each side by 10
-50/10 = 10x/10
-5 =x
Answer: x = -5
Step-by-step explanation:
In order to solve this problem, you need to isolate the variable.
In this problem, you need to isolate the x.
-6x -15 = 4x +35
10x = -50
x = -5
Erin mixed 2.69 grams of salt into a pot of soup she was cooking. Before she served the soup, Erin added 0.7 grams of salt. How much salt did Erin put into the soup in all?
Answer:
3.39g
Step-by-step explanation:2.69+0.7=3.39g
How can you write 0.07 in the form a and b
Answer:
7/100
Step-by-step explanation:
We want to write .07 as a fraction
7/100 were a = 7 and b = 100
Answer:
seven hundredths
Elizabeth wrote 3.3 - 0.21= 1.2 Is her answer reasonable? Explain why or why not. Choose the correct answer below and fill in the answer box to complete your choice. A. The estimate would be 0-0= nothing, so her answer is reasonable. B. The estimate would be 4-0= nothing, so her answer is not reasonable. C. The estimate would be 3-0= nothing, so her answer is not reasonable. D. The estimate would be 3-0= nothing, so her answer is reasonable.
Answer:
The estimate would be 3-0= nothing, so her answer is not reasonable.Step-by-step explanation:
Given the expression written by Elizabeth as 3.3 - 0.21= 1.2, to check if Elizabeth expression is reasonable or not, we need to check if her answer is close to or equal to the answer of the diiferebce between 3.3 - 0.21.
Converting 3.3 and 0.21 to fraction
3.3 = 33/10
0.21 = 21/100
Taking the difference of both fractions
[tex]= \dfrac{33}{10} -\dfrac{21}{100} \\\\= \dfrac{330-21}{100} \\\\= \dfrac{309}{100} \\\\= 3.09\\[/tex]
Hence 3.3 - 0.21 = 3.09 ≈ 3.0 (to nearest whole number). Comparing Elizabeth answer which is 1.2 to the answer f=gotten, it can be seen that her answer is far from the right answer with a difference of about 1.8 (3.0-1.2). This large difference makes Elizabeth answer unreasonable.
D.
The estimate would be 30
3, so her answer is not reasonable
The quotient of 3 divided by three-fourths is
Answer:
Step-by-step explanation:
3 * 4/3 = 4 is the solution
Answer:
4
Step-by-step explanation:
[tex]\frac{3}{1}/\frac{3}{4}\\\frac{3}{1}*\frac{4}{3}[/tex]
cancel out the threes and you get:
[tex]\frac{1}{1}=\frac{4}{1}\\1*4=4[/tex]
You are selling boxes of candy for $3 a box for your school fundraiser. Write a function for the revenue, R, you have earned based on the number of boxes of candy, c, that you have sold. You must use function notation.
Answer:
c x 3 = ?
Step-by-step explanation:
you would get how many boxes you have solded then multiply it by 3
we are using c for boxes of candy.
The notation will be 3 × c = R .
A candy is being sold at $3 for school fundraiser.
If c is no. of boxes of candy then we have to find Revenue R.
What will be the value of 10 pens if one pen costs $3 ?
The cost of 10 pens will be 10 × 3 = $ 30 .
As per the question ;
Price at which candy is being sold is $3 per box.
So ,
price of 1 box = $3
price of c boxes = 3 × c
This is equal to total revenue from school fundraiser.
i.e., 3 × c = R
Thus , the notation will be 3 × c = R .
To learn more about algebra click here ;
https://brainly.com/question/19253676
#SPJ2