Solve the equation x - 2y = 1, for y
Answer:
[tex]\displaystyle y = \frac{x - 1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle x - 2y = 1[/tex]
Step 2: Solve for y
[Subtraction Property of Equality] Subtract x on both sides: [tex]\displaystyle -2y = 1 - x[/tex][Division Property of Equality] Divide -2 on both sides: [tex]\displaystyle y = \frac{1 - x}{-2}[/tex]Rewrite: [tex]\displaystyle y = \frac{x - 1}{2}[/tex]An entry level technical writer's annual pay is $53,768 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease?
Answer:
im not too sure
Step-by-step explanation:
Zayn puts garland around a square window. He uses 888 meters of garland.
What is the height of the window?
Answer: 3552
Step-by-step explanation:
888 times 4
simplify the expression shown
A:-xy+3y
B:xy+3y
C:-xy-3y
D:xy-3y
Answer:
C:-xy-3y is the answer your welcome
At birthday Party girls ate 7 3/4
pizzas and the boys ate 2 1/2 pizzas. How many pizzas were eaten at my party?
Answer:
10 1/4
Step-by-step explanation:
2 1/2 = 5/2
5/2 (2/2)= 10/4
7 3/4 = 31/4
10/4+31/4=41/4
41/4 = 10 1/4
Tara has 3 over 4 cup of ice cream. How many 1 over 5-cup servings are in 3 over 4 cup of ice cream?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Tara has :
[tex] \dfrac{3}{4} \: \: cup \: \: of \: \: ice \: cream[/tex]Each servings :
[tex] \dfrac{1}{5} [/tex]Total number of servings is equal to :
[tex] \dfrac{3}{4} \div \dfrac{1}{5} [/tex][tex] \dfrac{3}{4} \times 5[/tex][tex] \dfrac{15}{4} [/tex][tex]3 \dfrac{3}{4} [/tex]Step-by-step explanation:
Tara has ¾ cup of icecream
Each serving:
= ⅕
Total no. of servings
= ¾ ÷ ⅕
= ¾×5
= 15/4
= 3¾ or 3.75
GE bisects angle DGF , m angle DGE = 53º. Find m angle DGF.
M angle DGF
Answer:
4.5 degres
Step-by-step explanation:
Does this equation have exactly one solution
Answer:
[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]
What is the value of 5^3i^9?
A. -125i
B. -15i
C. 15i
D. 125i
Answer:
125i
Step-by-step explanation:
(5^3)(i^9)
=125(i^9)
=125i <-------????
Sorry not sure <:0
A rectangular water tank has the following dimension:
Length = 3 feet, Width = 2 feet, Height = 2.5 feet. Find the amount of water it can hold in cubic centimeter.
Answer:
424,752.7 cm³
Step-by-step explanation:
Since you need to convert from English units to Metric units, you can do that first.
Convert each measurement to centimeters instead of feet since your final answer is in cubic centimeters.
1 foot = 30.48 centimeters
Length = 3 ft 30.48cm
----- x ------------ = 91.44 cm
1 1 ft
Width = 2 ft 30.48cm
------- x ------------- = 60.96 cm
1 1 ft
Height = 2.5 ft 30.48cm
-------- x ------------ = 76.2 cm
1 1 ft
The volume is equal to L x W x H
91.44cm x 60.96cm x 76.2cm = 424,752.7 cubic centimeters
James bought a cak that had 1, 890 calories for 9 servings. What is the calories per serving the cake ?
Answer:
210 calories per serving
Step-by-step explanation:
What is 33.61111111 in fraction form
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
____________________
Step-by-step explanation:
Based on the assumption that the "1" repeats infinitely; in the given value:
" 33.61111111 ...." ;
_______
Note that the "611" ; after the decimal point; this goes to the "thousandths";
place (is "3 (three) digits long.").
_______
As such; we rewrite the number as:
_______
" [tex]\frac{33.611}{1}[/tex] " ;
and we multiply BOTH the "numerator" And the "denominator" by: "1000" :
_______
→ " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;
to get:
→ " [tex]\frac{33611}{1000}[/tex] " ; → which cannot be reduced any further.
_______
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
_______
Hope this is helpful to you!
Wishing you the best!
_______
An airplane takes 5 hours to travel a distance of 3400 kilometers against the wind. The return trip takes 4 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
Javier reads 40 pages every hour, how many pages does Javier reads in 2.25 hours?
Answer:
Javier reads 90 pages in 2.25 hours.
Step-by-step explanation:
# of pages read every hour: 40 pages.
# of hours in total: 2.25 hours.
Multiply the number of pages he can reads every hour (40 pages) by the number of hours in total.
40 x 2.25 = ?
The Product is your answer;
? = 90
Hope this helps :)
Consider the triangle A(4,0), B(-2,4), C(0,6)
What will be the equation of the altitude BM?
Answer:
BM: y = (2/3) x + 16/3 with segment length of 2.77
Step-by-step explanation:
AC formula: m = (6-0)/(0-4) = -3/2
(y-0)/(x-4) = -3/2 y = (-3/2)x + 6 ... (1)
BM slope: BM⊥ AC m = 2/3
BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3
y-4 = 2/3 x + 4/3
y = (2/3) x + 16/3 ... (2) -2≤x≤0.31
intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3
(13/6) x = 2/3 x = (2/3) / (13/6) = 4/13 ≈ 0.31
y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54
M (4/13 , 72/13) or (0.31 , 5.54)
segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77
What is the correct number form for “seven and eighty-three thousandths?”
7.083
7.83
7.803
7.830
Answer:
7.083
Step-by-step explanation:
well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D
environmental factors that affect the agricultural productions note
climatic factors such as light, water, and rainfall, temperature, air, relative humidity and wind also affect farming in various ways. Just like other abiotic elements of environmental factors such as soil and topography, they influence how crops grow and develop.
the environmental factors that affect the agricultural production is human activities such as pollution, climatic factors and so on
Jamarie makes a decorative bookmark of size 2" x 6" for his teacher. Find the
area of the bookmark. *
Answer:area is 12
Step-by-step explanation:
What is the Gcf of 225 and 415
Answer:
5
Step-by-step explanation:
To get the Greates Common Factor (GCF) of 225 and 415 we need to factor each value first and then we choose all the copies of factors and multiply them:
225: 3 3 5 5
415: 5 83
GCF: 5
The Greates Common Factor (GCF) is: 5
Answer:
5
Step-by-step explanation:
The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225
The factors of 415 are: 1, 5, 83, 415
Then the greatest common factor is 5.
Please Help me!! (No Links Please) HELP!!!
Answer:D
Step-by-step explanation:
A is not Linear
B is not Linear
C is not Linear
Which fruit stand, A or B, offers a better deal on blueberries
Answer:
Step-by-step explanation:
Answer:BStep-by-step explanation:B cost less money bet has the same
Me.Ramirez divid 12 frogs
Answer: my last names Ramirez!
Step-by-step explanation:
Please help help help
Find the value of x if the two triangles are similar. Explain.
Given :
The given two triangles are similar .
To find :-
The value of x .
Solution :
In larger triangle :-
90 + y + y = 180
2y = 180 - 90
2y = 90
y = 45°
As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45
x = 45/15
x = 3
Convert 34.6 centimeters to inches. Use 1 in=2.54 cm.
Which expression represents, five times the quotient of two numbers?
A. 5+rt
B. 5%r/t
C. r/5t
D. 5(r/t)
PLZ HELP
Answer:
Five times the quotient of two numbers
5*( r/t)
Step-by-step explanation:
5 times the qoutient of 2 numbers is 5+rt
Let U be the set of whole numbers from 5-10 inclusive. Set A= {5, 7, 9}, Set B = {5, 8, 10}. AU~B <---------
Answer:
Suppose the universal set is U = all whole numbers from 1 to 9. If A = {1, 2, 4}, then Ac = {3, 5, 6, 7, 8, 9}. As we saw earlier with the expression Ac ...
Let U be the set of whole numbers from 5-10 inclusive. Set A={5, 7, 9 ...
Jaylen is picking berries. The number of blueberries he picks is 4 less than half the number of strawberries he picks. If Jaylen picks x strawberries, select the expression that represents the number of blueberries he picks.
A. 2x + 4
B. x/4 +2
C. x/2 - 4
D. x/2 +4
The expression that represents the number of blueberries he picks would be; 1/2x - 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that the number of blueberries he picks is 4 less than half the number of strawberries he picks.
4 less than half the number of strawberries means;
1/2x - 4
If Jaylen picks x strawberries, then the expression that represents the number of blueberries he picks would be;
1/2x - 4
The correct option is C.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
What is the graph of y <= 5x + 2?
35 more than twice the number is 65. Find the number.
Answer: 15
Step-by-step explanation:
2x + 35 = 65
2x = 30
x = 15
I need help I never got taught how to do this
Answer:
736cm²
Step-by-step explanation:
The surface area of a regular pyramid is equal to:
area of the square base + 1/2ps
where p is the perimeter of the base and
s is the height of the slant line of the pyramid.
In your drawing s = 15cm and the base has four equal lengths of 16cm
So first find the area of the base. Since this is a square, the area is just the
length x the width or 16cm x 16cm = 256cm²
(p) is the perimeter of the base. Find this by adding all four side of the bottom square together which is 16cm + 16cm + 16cm + 16cm or 4 x 16cm which is 64cm.
You already were given (s) which is the height of the slanted side from the base to the pointed top. The drawing gives you this as 15cm.
So plugging all this into the formula, you get:
Surface Area = Area of Base + 1/2 p s
= 256 cm² + [1/2 ( 64cm )(15cm)]
= 256 cm² + {1/2 ( 960 cm²)]
= 256 cm² + 480 cm²
= 736 cm²