Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
1).2x + 8y = 12 ......... Equation 1
x - 2y = 0 .............. Equation 2
Make x the subject in equation 2 and substitute it into equation 1
That's
x = 2y
We have
2(2y) + 8y = 12
4y + 8y = 12
12y = 12
Divide both sides by 12
y = 1
Substitute y = 1 into x = 2y
That's
x = 2(1)
x = 2
The answers are
x = 2 , y = 12.)x + y = 7......... Equation 1
2x + y = 5 ......... Equation 2
Make y the subject in equation 1 and substitute it into equation 2
We have
y = x - 7
2x + x - 7 = 5
3x = 7 + 5
3x = 12
Divide both sides by 3
x = 4
Substitute x = 4 into y = x - 7
y = 4 - 7
y = - 3
We have the answers as
x = 4 , y = - 33).y = -1/2 + 1 ......... Equation 1
2x + 3y = 6 ........ Equation 2
From equation 1
y = 1/2
Substitute y = 1/2 into Equation 2
So we have
2x + 3(1/2) = 6
2x + 3/2 = 6
2x = 6 - 3/2
2x = 9/2
Divide both sides by 2
x = 9/4
The answers are
x = 9/4 , y = 1/24).2x - 1/3y = - 9.......... Equation 1
-3x + y = 15 ........... Equation 2
Make y the subject in equation 2 and substitute it into equation 1
That's
y = 15 + 3x
2x - 1/3( 15 + 3x) = - 9
2x - 5 - x = - 9
x = - 9 + 5
x = - 4
Substitute x = - 4 into y = 15 + 3x
That's
y = 15 + 3(-4)
y = 15 - 12
y = 3
The answers are
x = - 4 , y = 3Hope this helps you
Related Questions
You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more than 48ft. Of trim of the banner. What are the possible widths of the banner?
Answers
Answer:
6 ft
Step-by-step explanation:
Given that:
Length of rectangular banner = 18 ft
Total trim of banner available = 48 ft
To find:
Possible widths of the banner = ?
Solution:
Maximum trim available of the banner around the entire border of the banner = 48 ft
i.e. we are given the total perimeter of the rectangular banner.
Formula for perimeter of a rectangle is given as:
[tex]Perimeter = 2 \times (Length + Width)[/tex]
Putting the values of perimeter and length to find the value of width.
[tex]48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}[/tex]
So, width possible is 6ft.
In Crosby's model collection, 5/16 of the models are trains and 7/16 of the models are cars. What part of Crosby's model collection is trains and cars?
Answers
Answer:
3/4.
Step-by-step explanation:
5/16 + 7/16
= (5+7)/16
= 12/16
= 3/4.
Find the Slope of the line through ( -4, 2 ) and (5, 8 )
Answers
Answer:
2/3
Step-by-step explanation:
Y2-Y1/X2-X1
8-2/5-(-4)
6/5+4
6/9
Slope: 2/3
answer: 2/3
step by step:
slope(m)=[tex]y2-y1/x2-x1[/tex]
=8-2/5+4
= 6/9
=2/3
Mark incorrectly solved the inequality -4(5/2+3/2x) > 8. His work is shown. Which step shows an error based on the inequality ONLY from the previous step? Help please!!
Answers
Answer : The incorrect step is, (A) step 1: -10 + 6x > 8
Step-by-step explanation :
The given expression is:
[tex]-4(\frac{5}{2}+\frac{3}{2}x)>8[/tex]
Now solving this expression step by step.
First -4 distributed over parentheses.
[tex](-4\times \frac{5}{2})+(-4\times \frac{3}{2}x)>8[/tex]
Now solving bracket term, we get:
[tex]-10-6x>8[/tex]
Now taking like terms together, we get:
[tex]-6x>8+10[/tex]
[tex]-6x>18[/tex]
[tex]-x>3[/tex]
Now multiplying this expression by (-1), we get:
[tex]x>-3[/tex]
Thus, the incorrect step is, (A) step 1: -10 + 6x > 8
Answer:
A. Step 1: -10 + 6x > 8
Step-by-step explanation:
The correct way:
Step 1: Multiply both sides by [tex]-1[/tex] (reverse the inequality)
[tex]\left(-4\left(\frac{5}{2}+\frac{3}{2}x\right)\right)\left(-1\right)<8\left(-1\right)[/tex]
Step 2: Simplify
[tex]4\left(\frac{5}{2}+\frac{3}{2}x\right)<-8[/tex]
Step 3: Divide both sides by 4
[tex]\frac{4\left(\frac{5}{2}+\frac{3}{2}x\right)}{4}<\frac{-8}{4}[/tex]
Step 4: Simplify
[tex]\frac{5}{2}+\frac{3}{2}x<-2[/tex]
Step 5: Subtract [tex]\frac{5}{2}[/tex] from both sides
[tex]\frac{5}{2}+\frac{3}{2}x-\frac{5}{2}<-2-\frac{5}{2}[/tex]
Step 6: Simplify
[tex]\frac{3}{2}x<-\frac{9}{2}[/tex]
Step 7: Multiply both sides by 2
[tex]2\cdot \frac{3}{2}x<2\left(-\frac{9}{2}\right)[/tex]
Step 8: Simplify
[tex]3x<-9[/tex]
Step 9: Divide both sides by 3
[tex]\frac{3x}{3}<\frac{-9}{3}[/tex]
Step 10: Simplify
[tex]x<-3[/tex]
Kathy Crawford works as a freelance writer and editor. She charges $12 per page for editing services and $0.15 per word for writing. Kathy’s regular client has asked her to write a 500-word press release and edit a 12-page newsletter. what is the total pay for the job?
Answers
Determine which line the point (1, -2) lies on. y = x + 5 y = 2x + 1 y = 2x - 4 y = x -2
Answers
Answer:
y = 2x - 4
Step-by-step explanation:
Given point (1, -2) so x = 1, y = -2
Just plug in and verify
y = x + 5
y = 1 + 5 = 6 ≠ -2 , noy = 2x + 1
y = 2*1 + 1 = 3≠ -2 , noy = 2x - 4
y = 2*1 - 4 = -2, yesy = x -2
y = 1 - 2 = -1 ≠ -2 , noSimplfy... PLZ HELPPPP 3x^2 - 4x + 8 + 5x^2 + 9x - 10
Answers
Answer:
8x² + 5x - 2
Step-by-step explanation:
Given
3x² - 4x + 8 + 5x² + 9x - 10 ← collect like terms
= (3x² + 5x²) + (- 4x + 9x) + (8 - 10)
= 8x² + 5x - 2
The expression (√90 *√40) - (√8*√18) simplifies to what
Answers
Answer:
48
Step-by-step explanation:
[tex] \sqrt{90 \times 40} - \sqrt{8 \times 8} [/tex]
Answer 48
One minus the quotient of one and a number x
Answers
Answer:
1/x-1
Step-by-step explanation:
Can someone please help me?
Answers
Answer:
The next number is 1 and the pattern is divide by 4.
Step-by-step explanation:
256÷4=64
64÷4=16
16÷4=4
4÷4=1
What is an expression that represents the area of the rectangular room? How can the expression be rewritten as a polynomial in standard form? Show your work. What is an expression that represents the area of the rectangular room? How can the expression be rewritten as a polynomial in standard form? Show your work. Expression: ______________________ Expression in Standard Form (Show your work): Expression: ______________________ Expression in Standard Form (Show your work):
Answers
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the correct question is:
The length of a rectangular room is 9 less than four times the width, w , of the room. What expression represents the area of the room? How can the expression be rewritten as a polynomial in standard form
Answer: A rectangle is a polygon that has for sides in which the opposite sides are equal. All angles in a rectangle are equal and the diagonals bisect each other. The area of a rectangle is given by the formula:
Area = Length × Width
Given that The length is 9 less than four times the width and the width is w, hence, the length is given as:
Area = 4w² - 9w
A polynomial is in standard if its terms are arranged from highest degree to lowest degree.
The polynomial in standard form is: 4w² - 9w
Here is a collection of dogs, mice, and cats: There are 6 dogs, 2 mice, and 4 cats. Write two sentences that describe a ratio of types of animals in this collection.
Answers
Answer:
The ratio of dogs to mice is
6 to 2; 6:2; 6/2
The ratio of cats to dogs is
4 to 6; 4:6; 4/6
Hope this helped~
Your smart local crackhead
The ratio of the dogs, mice, and cats is 3 : 1 : 2.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, there are 6 dogs, 2 mice, and 4 cats.
The ratio of the collection is:
dogs : mice : cats
6 : 2 : 4
= 3 : 1 : 2
Hence, the ratio of the dogs, mice, and cats is 3 : 1 : 2.
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What is 4/10 - 2/15 simplify
A. 4/15
B. 2/5
C.8/18
D.2/3
Answers
If the relationship is proportional, what is the missing value from the table?
x
8
16
24
y
6
?
18
Answers
Answer:
The answer is 12.
Step-by-step explanation:
6 is 3/4 of 8 and 18 is 3/4 of 24. All you do is divide 16 by 4 which equals 4. Then multiple that answer by 3 which gives you 12.
Answer:
The answer is 12
Step-by-step explanation:
Fabricio recibe el encargo de preparar 1000 moldes en forma de pirámide hexagonal regular de 10 cm de lado x 30 cm de altura. Además, le han pedido barnizar cada uno de los moldes por dentro y por fuera. Si el galón de barniz rinde para 45 m2, ¿Cuántos galones se requerirán para barnizar los moldes? ¿Cuál será la capacidad en litros de cada molde? a) 2 galones y 1500 litros b) 3 galones y 2200 litros c) 4 galones y 2568 litros d) 5 galones y 2600 litros
Answers
Answer:
a) 2 galones y 1500 litros
Step-by-step explanation:
La fórmula para el área de la superficie lateral de una pirámide hexagonal regular =
A = 3a × √ (h² + 3a² / 4)
Donde a = longitud lateral o borde de la base de la pirámide hexagonal = 10 cm
h = altura de la pirámide hexagonal = 30cm.
Resolviendo para 1 molde
A = 3 × 10 × √ (30² + 3 × 10² / 4)
A = 936,7497 cm²
Esto significa que Fabricio tiene que cubrir 936.7497cm² de 1 molde con barniz.
En la pregunta se nos dice que:
1 galón de barniz rinde o cubre 45m²
Por lo tanto, convertimos el área de la superficie de 1 molde a m²
1 cm² = 0,0001m²
936.7497cm² =
936.7497cm² × 0.0001m² / 1 cm²
= 0.09367497m²
Por tanto, si
45m² = 1 galón de barniz
0.09367497m² = x galón
x galón = 0.09367497m² / 45 m²
= 0.002081666 galones
Esto significa que 0,002081666 galones barnizarán 1 molde.
Recuerda, en la pregunta, nos dicen que Fabricio está barnizando 1000 moldes
Si. 1 molde = 0.002081666 galón de barniz
1000 moldes
1000 × 0,002081666
= 2.081666 galones de barniz
Aproximadamente = 2 galones de barniz.
De ahí la capacidad en litros de cada molde = 1500 litros.
If E is the midpoint of segment AB and AB = 30, what is AE?
Answers
Answer:
15
Step-by-step explanation:
its in the center so u devide it by 2
Answer:
AE = 15
Step-by-step explanation:
AB = 30
E is the midpoint of AB
AE + EB = AB
AE = EB
2AE = AB
2AE = 30
Divide by 2
AE = 15
solve 3/2 + t = 1/2
t = ___
Answers
Answer:
-1
Step-by-step explanation
1/2-3/2 = -1
Answer:
-1
Step-by-step explanation:
3/2+t=1/2
T=1/2-3/2
T=(1-3)/2
=-2/2
-= - 1
PLEASE HELP!! A classmate wrote the set notation for the values of the domain of a function {−5, −4, −3, −2, −1, 0} as {x | −5 ≤ x ≤ 0}. Explain the student's error.
A. The student should have listed 0 before −5
B. The set notation includes all values from −5 to 0, but the domain only includes the integer values.
C. The student should have used less than symbols rather than less than or equal to symbols.
D. The student should have used greater than or equal to symbols rather than less than or equal to symbols.
Answers
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
==========================================================
Further explanation:
Let's go through the answer choices one by one
A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that [tex]-5 \le x \le 0[/tex] is the correct order as well.B. This is true. A value like x = -1.2 is in the set [tex]\left\{x| -5 \le x \le 0\right\}[/tex] since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write [tex]\left\{x| x\in\mathbb{Z}, \ -5 \le x \le 0\right\}[/tex]. The portion [tex]x \in \mathbb{Z}[/tex] means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.D. This is false. Writing [tex]-5 \ge x \ge 0[/tex] would not make any sense. This is because that compound inequality breaks down into [tex]-5 \ge x \ \text{ and } \ x \ge 0[/tex]. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.I need the answers from question 10 to 17
You don’t have to answer all of them but I would like one or maybe a couple of answers
Answers
b)8m
c)9m
d)20m
John bought 3 pants for 25 dollars each and paid with a one-hundred-dollar bill. Write a numerical expression to represent this situation and then find how much money John gets back from the cashier?
Answers
Answer:
x-25=75
Step-by-step explanation:
ANSWER
Answer:
$ 25
Step-by-step explanation:
Let the balance amount be 'x'
Price of 3 pants = 3* 25 = $ 75
Amount paid = $ 100
x = 100 - 75
x = 25
The sum of two numbers is five more than twice the first. The sum of the number is 45. Find the numbers
Answers
Answer:
First number is 20, second is 25
Step-by-step explanation:
x + y = 5 + 2x = 45
solve for x first
5 + 2x = 45
x = 20
then solve for y
20 + y = 45
y = 25
hope this helps
The blackpoll warbler migrates 2,376 miles, stops, and then flies another 3,289 miles to reach its destination. The arctic tern migrates 11,013 miles, stops, and then flies another 10,997 miles to reach its destination. How much farther is the arctic tern's migration than the blackpoll warbler's migration?
Answers
The total migration for the Arctic Tern is 22,010.
Therefore the difference between the two is
22,010 - 5,665 = 16,345 miles
uhm, yeah im not very good at math, i need to graduate man, someone help lol
Answers
Answer:
d=√73=8.544
Step-by-step explanation:
Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)
d between two pint is :
d=√(x2-x1)²-(y2-y1)²
d between market and court house:
d=√(6-0)²+(5-8)²
d=√36+9=√45 = 6.7082 ≅6.71 rounded to the nearest hundredths
d between courthouse and the library:
d=√(6-6)²+(-1-5)²
d=√36=6
the distance that Runner A ran=6.71+6=12.71
the distance from the library to the school:
d=√(6-(-2))²+(-1-(-4))²
d=√8²+3²
d=√64+9
d=√73=8.544 ( rounded to the nearest hundredth)
Runner B went 8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.
I need help on these questions
Answers
Answer:
1. 21 hours
2. 21 hours
Step-by-step explanation:
1. If we add up all the time it takes them to build one dog house, we get 210 minutes or 3.5 hours. All we have to do is multiply this by 6 because they are building 6 of these exact dog houses. We would then get the answer 21 hours.
2. For this one, it would take Reece double the time it would take both friends. We know if they are both working it takes 3.5 hours so if it is just one of them working it would take 7 hours. So if she builds 3 it will take 21 hours.
Which statement comparing |−12| and |8| is true?
Answers
Answer:
[tex]\huge\boxed{|-12|\ is\ greater\ than\ |8|}[/tex]
Step-by-step explanation:
|-12| = 12
|8| = 8
So, the statement is :
|-12| is greater than |8|
A certain number is both a perfect square root and a perfect cube will its cube root and square root always be different numbers
Answers
Answer:
The exception is 1
Step-by-step explanation:
The cube root of 1 is 1, and the square root of 1 is also 1..
hence, 1 has cube root equal to square root
Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, how old is Marcus? Choose the answer below that is a viable solution to this problem.
Answers
The age of marcus is 10 years old.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, then we have;
The reason for "5 years less", means we subtract 5, but from what exactly.
Now the next portion of the sentence says "twice Marco's Age" therefore, its 2x so we must subtract 5 from 2x.
15 = 2x - 5
Now we just solve for x.
15 = 2x - 5
Add 5 to both sides.
20 = 2x
Divide by 2 on both sides;
10 = x
Thus As a result, Marcus is 10 years old.
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Algebra Parent Functions Graph
Answers
Answer:
b. Cubic
Exponential and logarithmic graphs are the similar, logarithmic graphs just reflect exponential graphs. Cubic root is like the one shown, just horizontal.
What 2 consecutive whole numbers does v3 fall between?
Answers
Answer:
1 and 2
Step-by-step explanation:
√3 is ≈ 1.7
This is between 1 and 2
What is an equation of a line that passes through the point of (-8 2) and (-4,-3)
Answers
Answer:
y = -5/4x -8Step-by-step explanation:
[tex](-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\ \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8[/tex]