Answer:
The reciprocal of 6 is, 1/6..Step-by-step explanation:
Hope it helps you..
Thanks..
Answer:
1/6
Step-by-step explanation:
The reciprocal of a fraction can be found by flipping the numerator (top number) and denominator (bottom number).
The number 6 is equivalent to the fraction 6/1.
Find the reciprocal of 6/1. Invert the numerator and denominator.
6/1 ⇒ 1/6
The reciprocal of 6 is 1/6
23. Eduardo wants to get a grade of 95 in his math
class. His grade will be the average of three test
scores. He got a 91 on the first test and a 89 on
the second test. Write an equation to represent
the situation. What score will he need on the
third test?
Answer:
equation: (91 + 89 + x):3 = 95
score needed: x = 105
Step-by-step explanation:
x - the third test score
average of three it's a sum of the three divided by 3:
(91 + 89 + x):3 = 95
×3 ×3
180 + x = 285
-180 - 180
x = 105
3) find different solution
of equation 3x+5=0
Answer:
x=3/5
Step-by-step explanation:
3x+5=0
3x=-5
x=-5/3
Answer:
x = 5/3
Step-by-step explanation:
Given equation: 3x-5 = 0
Add both sides by 5, we get
= 3x - 5 + 5 = 0 + 5
= 3x = 5
Divide both sides by 3, we get
3x/3 = 5/3
or, 3x = 5
so, x = 5/3
express 12/16 in eighths
Answer:
6/8
Step-by-step explanation:
If we simply 12/16, we need to divide both numerator and demonstrator by 2:
12/2 = 6
16/2 = 8
6/8
Answer:
12/16 = 6/8
Step-by-step explanation:
divide both by 2
Which of the following is closest to
0 on the number line?
A) - | -5.1 |
B) 4.7
C) - | - 0.9 | D) - | 6.7 |
Answer:
C
Let's simplify the answers. Use absolute value.
| -5.1 | = 5.1 - > |5.1| = 5.1
4.7 - > |4.7| = 4.7
| -0.9 | = 0.9 - > |0.9| = 0.9
- |6.7| = -6.7 - > |-6.7| = 6.7
Now, order each from least to greatest.
0.9, 4.7, 5.1, 6.7
Which one is the smallest? 0.9
So, C is correct.
I'm sorry if I misunderstood.
Please rank Brainliest.
Always try your best and have a good day ;) !
The manufacturer of computers spends $500 to make each computer and sells them for 800. The manufacturer also has fixed costs each month of $5700. Find the cost function C when x computers are manufactured.
Answer:
C(x) = 5700 + 500x
Step-by-step explanation:
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.
Variable cost are cost that changes with production such as cost of raw material, cost of labor.
From the question:
Fixed cost= $5,700
Cost per unit of computer = $500
If x number of computers are produced in a month
Variable cost = 500x
Total cost = fixed cost + variable cost
C(x) = 5700 + 500x
Where,
C(x) = total cost
5700= fixed cost
500x= variable cost
Answer:
C(x)=500x+5700.
Step-by-step explanation:
he general Cost function formula is given by
C(x)=cost per unit⋅x+fixed costs.
The manufacturer has fixed costs of $5700 no matter how many computers it produces. In addition to the fixed costs, the manufacturer also spends $500 to produce each computer. If we substitute these values into the general cost function, we find that the cost function when x computers are manufactured is given by
C(x)=500x+5700.
At a sale, dresses were sold for $39 each. If the dresses originally cost $60 each, what percentage of its original price was a dress sold for?
Answer:
65%
Step-by-step explanation:
We're looking for how big a part of the original price the reduced price is.
This can be done using division.
E.g., if the reduced price was $1, and the original price was $10, we can find how big of a part $1 is of $10 by dividing them.
[tex]\frac{1}{10} = 0.1 = 10\%[/tex]
The reduced price is 10% of the original price. Remember that 0.1 in decimal is 10%, same as how 1.0 is 100%, and 0.3 is 30%.
Let's try this using our dresses. The reduced price was $39, and the original price was $60.
[tex]\frac{39}{60} = 0.65 = 65\%[/tex]
The dresses were sold at 65% of the original price.
Note, this does NOT mean that they were sold at a 65% discount. To find that, we'd have to find out how big the discount was. Then, we'd divide it by the original price.
For example, if the original price was $10, and the reduced price is $9, then the reduced price is 90% of the original price, but it's at a 10% discount.
[tex]\frac{9}{10} = 0.9 = 90\%[/tex]
[tex]10-9=1[/tex]
[tex]\frac{1}{10}=0.1=10\%[/tex]
Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x + 2)^2 - 64
Answer:
-10,6
Step-by-step explanation:
f(x) = (x + 2)^2 - 64
Set equal to zero
0 = (x + 2)^2 - 64
Add 64 to each side
64 = (x + 2)^2
Take the square root of each side
±sqrt(64) = sqrt((x + 2)^2 )
±8 = x+2
Subtract 2 from each side
±8-2 = x
-8-2 =x
8-2 = x
-10,6
A model for the basal metabolism rate, in kcal/h, of a young man is given by the formula below, where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man over a 24 hour period
Answer:
A model for the basal metabolic rate in kcal h of a young man is
A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85 -0.18 cos(πt/12), where t is the time in hours measured from 5:00 AM.
Find a possible solution to the equation cos(x+2)= sin(3x)
Answer:
x = 22
Step-by-step explanation:
Let's say that a & b are complementary angles...
Then cos a = sin b
We can also write sin(3x) as ,
[tex] \sin(3x) = \cos(90 - 3x) [/tex]
Substituting the value of sin(3x) in the question ,
[tex] \cos(x + 2) = \cos(90 - 3x) [/tex]
Cancelling cos from both the sides gives us -
[tex]x + 2 = 90 - 3x\\ [/tex]
Solving this eqn , x = 22
Alicia is thinking of a number for her friends to guess. She tells them the number is the least common multiple of 3 and 7. Which number is Alicia thinking of?
Answer:
21
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...
We see that the first number that is a multiple of both 3 and 7 is 21.
while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.On her drawing 2 cm represent 0.5ml. The piers are 12cm apart on tasha's drawing.What is the actual distance, in miles between the two piers?
Answer:
3ml
Step-by-step explanation:
while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.
Given that On her drawing,
2 cm represent 0.5ml.
The piers are 12cm apart on tasha's drawing.
To calculate the actual distance, in miles between the two piers, first divide the 12cm by 2 cm
12/2 = 6 cm
Multiply the answer by 0.5
6 × 0.5 = 3ml
Therefore, the actual distance, in miles between the two piers is 3ml.
Mr Chong intends to purchase a few chickens, rabbits and ducks for his farm. The total numbers of animal is 50. He has RM1500 to be spent. A chicken costs RM20, A rabbit RM50 and a duck RM30. The number of chickens is equal to the number of ducks. How many of each animals should Mr Chong purchase? Write a system of linear equations to solve this problem.
Answer:
20 chickens, 10 rabbits and 20 ducks
Step-by-step explanation:
Let chickens be c, rabbits be r, ducks be d
Chicken cost = RM20Rabbit cost = RM50Duck cost = RM30As per given we get below equations:
c + r + d = 50c = d20c + 50r + 30d = 1500Substitute d:
c + r + c= 50 ⇒ 2c + r = 50 20c + 50r + 30c = 1500 ⇒ 50c + 50r = 1500 ⇒ c + r = 30Subtract the second equation from the first one:
c = 20Then:
r = 10d = 20So animals bought:
20 chickens, 10 rabbits and 20 ducksTaila earns d dollars per week. How much does Taila earn in 10 weeks?
Answer:
[tex]10d[/tex] dollars
Step-by-step explanation:
[tex]d[/tex] is a variable, which is just a placeholder for an unknown value. Therefore, we can treat [tex]d[/tex] as if it's a number.
If you earn a certain amount of dollars per week, and you work for 10 weeks, then to find how much money you earn, you'd multiply the amount of weeks (10) by the dollars per week right?
Same logic applies for variables.
Since we have [tex]d[/tex] acting as a placeholder for the amount earned per week, then the total amount of money earned in 10 weeks is [tex]10\cdot d[/tex], which can just be represented as [tex]10d[/tex].
Hope this helped!
definition of coordinate pair
solving by graphing
solving by substitution
solving by elimination
slope-intercept form
standard form
term
constant
variables
multiplicative combination
m
b
Answer & Step-by-step explanation:
definition of coordinate pair
A system and method is provided for converting an input signal from a sequence of rectangular coordinate pairs to a sequence of polar coordinate pairs.
solving by graphing
A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system
solving by substitution
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.
solving by elimination
The elimination method of solving systems of equations is also called the addition method. To solve a system of equations by elimination we transform the system such that one variable "cancels out". ... In order to solve for y, take the value for x and substitute it back into either one of the original equations.
slope-intercept form
the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept
standard form
Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.
Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)
term
In Algebra a term is either a single number or variable, or numbers and variables multiplied together.
Terms are separated by + or − signs, or sometimes by divide.
constant
A fixed value.
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
variables
A symbol for a value we don't know yet. It is usually a letter like x or y.
Example: in x + 2 = 6, x is the variable.
Why "variable" when it may have just one value? In the case of x + 2 = 6 we can solve it to find that x = 4. But in something like y = x + 2 (a linear equation) x can have many values. In general it is much easier to always call it a variable even though in some cases it is a single value.
multiplicative combination
Any of the ways we can combine things, when the order does not matter.
Example: For a fruit salad, how many different combinations of 2 ingredients can you make with apple, banana and cherry?
Answer: {apple, banana}, {apple, cherry} or {banana, cherry}
When the order does matter, such as a secret code, it is a Permutation.
MATH ALG II! Need help quick! Will mark brainliest!
Answer: D
Step-by-step explanation:
because yes i solved it
PLZZZ help asap will give the brain and 100 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1
Answer:
[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
2x² + 5 = -x
The quadratic equation is in the form :
ax² + bx + c = 0
Rewriting the equation by adding x to both sides :
2x² + 1x + 5 = 0
The value of a is 2.
The value of b is 1.
The value of c is 5.
[tex]\rule[225]{225}{2}[/tex]
What is the circumference of a the circle? D = 14 cm
Round your answer to 2 decimal places.
Answer:
Hey there!
Circumfrence = 3.14d
Circumfrence = 3.14(14), or 43.96
Hope this helps :)
Combine the like terms to create an equivalent expression: 2s+(-4s)
Answer:
-2s
Step-by-step explanation:
2s+(-4s)
2s-4s
-2s
Hope this helps ;) ❤❤❤
2) You work in the tech field. Your boss has asked that you and your team design a new style phone with a 7" screen display. What are the dimensions of the phone if the aspect ratio is 16:9?
Answer:
dimensions of the phone are 7 inches x 12.44 inches
Step-by-step explanation:
The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.
That is;
Aspect ratio = height/width
Now, we are given;
Aspect ratio = 16:9 or 16/9
Width = 7" = 177.8 mm
Thus;
16/9 = height/177.8
Multiply both sides by 177.8 to give;
Height = (16 × 177.8)/9
Height = 316.089 mm
Converting 316.089 mm to inches gives us 12.44 inches.
Thus, dimensions of the phone are 7 inches x 12.44 inches
[tex]\sqrt[3]{-100}[/tex]? Please help.
Answer:
-∛100Decimal : -4.64158...Step-by-step explanation:
[tex]\sqrt[3]{-100}\\\\\mathrm{Apply\:radical\:rule}:\\\quad \sqrt[n]{-a}=-\sqrt[n]{a},\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\\\\\sqrt[3]{-100}=-\sqrt[3]{100}[/tex]
Write a polynomial that represents the area of the shaded region
Answer:
S = 1/2 . x^2 + 11/2 . x + 15
Step-by-step explanation:
- Let S = the area of the shaded region
- From the figure we see that S = 1/2 the area of the rectangle
- The area of the rectangle is (x+5)(x+6) = x^2 + 11x + 30
--> S = 1/2 (x^2 + 11x + 30)
--> S = 1/2 . x^2 + 11/2 . x + 15
Find the sum.
185
+ 66
Answer:
251
Step-by-step explanation:
eight hundred and five thousandths decimal
YEAR 8 ALGEBRA PLS HELP>
Answer:
Nikki is 16, Travis is 8
Step-by-step explanation:
We need to set up an equation
If x is Nikki's age, then Travis' would x-8 since Nikki is 8 years older.
x+(x-8)=24
2x-8=24
2x=32
x=16
Nikki is 16, Travis is 8
Answer:
the oldest is 16 and the other sibling Travis =8
Step-by-step explanation:
x+y=24
x-y=8 ⇒ x=8+y
solve by substitute
8+y+y=24
2y=24-8
2y=16
y=16/2=8
x=8+y
x=8+8=16
x=16
y=8
it’s kinda urgent lol
Answer:
60m²
Step-by-step explanation:
my dude you need to know this. A=bh. A=10(6).
60m good luck </3 hghjghghhujg
Water flows through a pipe at a rate of 9 gallons every 8 minutes. Express this rate of flow in fluid ounces per hour.
Answer:
[tex]Rate = 8640 fl\ oz/hour[/tex]
Step-by-step explanation:
Given
Rate: 9 gallon in every 8 minutes
Required
Express in fluid ounces per hour
Express rate as follows;
[tex]Rate = \frac{9\ gallon}{8\ minutes}[/tex]
1 gallon = 128 fluid ounces;
So:
[tex]Rate = \frac{9 * 128 fl\ oz}{8\ minutes}[/tex]
1 minutes = 1/60 hour;
So:
[tex]Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}[/tex]
[tex]Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}[/tex]
[tex]Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour[/tex]
[tex]Rate = 1152* \frac{60}{8}\ fl\ oz/hour[/tex]
[tex]Rate = \frac{1152*60}{8}\ fl\ oz/hour[/tex]
[tex]Rate = \frac{69120}{8}\ fl\ oz/hour[/tex]
[tex]Rate = 8640 fl\ oz/hour[/tex]
Determine the missing step for solving the quadratic equation by completing the square. 0 = –6x2 + 24x – 5
Step-by-step explanation:
Check the above photos....
What is the length of line segment AB with endpoints
A(3, 1) and B (0, -3)
Greetings from Brasil...
The expression that allows you to calculate the distance between two points is:
d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]Bringing to our problem:
d(A; B) = √[(0 - 3)² + (- 3 - 1)²]
d(A; B) = √[(- 3)² + (- 4)²]
d(A; B) = √[9 + 16]
d(A; B) = √[25]
d(A; B) = 5What exactly am I doing wrong with the first one I’m doing the order of operation and I can get the second one no issues I can’t seem to figure out how to do the first one tho
Answer:
36
Step-by-step explanation:
(4+2)²
4+2=6
6²=36
Answer:
36
Step-by-step explanation:
So we have the expression:
[tex](4+2)^2[/tex]
Order of operations says: 1) Parentheses, 2) Exponents, 3) Multiplication/Division and 4) Addition/Subtraction.
So, add within the parentheses first:
[tex](4+2)^2\\=(6)^2[/tex]
Now square:
[tex]=36[/tex]
So our answer is 36.
Also, note that you apparently used the distribute property. The distribute property does not work with addition and exponents:
[tex](4+2)^2\neq4^2+2^2[/tex]
You cannot do this. This isn't correct. Instead, you must first add and then square.
Armando wrote the expanded notation for 0.356 as shown below. How can you
rewrite his expanded notation using fractions for the place values?
Answer:
3×1/10 +5×1/100 +6×1/1000
Step-by-step explanation:
You have not shown Armando's work, but we know there are several ways that expanded form can be written:
0.356 = 0.3 + 0.05 + 0.006
= 3×0.1 + 5×0.01 + 6×0.001
= 3×10^-1 + 5×10^-2 + 6×10^-3
When the place values are expressed as fractions, this is ...
= 3×1/10 + 5×1/100 + 6×1/1000