Answer:
y=12
x=30
Step-by-step explanation:
2x-3y=24 ... 1
x+6y=18 ... 2
2*2:
2x+12y=36...3
3-1:
y=12
x=30
When the following system of equations 2x - 3y = -24 and x + 6y = 18 are solved, the value of x and y is found to be -6 and -4 respectively.
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
Given the system of equations:
2x - 3y = -24 (equation1)
x + 6y = 18 (equation2)
From equation 2,
x = 18 - 6y
Now, substitute this expression for x in equation (1):
2(18 - 6y) - 3y = -24
36 - 12y - 3y = -24
36 - 15y = -24
-15y = -60
y = [tex]\frac{(-60)}{(-15)}[/tex]
y = 4.
Now substitute it back into equation (2) to solve for x:
x + 6(4) = 18
x + 24 = 18
x = 18 - 24
x = -6
Therefore, the solution to the system of equations is x = -6 and y = 4.
Learn more about equations here:
https://brainly.com/question/28953876
#SPJ6
1) Is this graph a linear function? Explain.....2) Is this graph a linear function? Explain....
9514 1404 393
Answer:
nonoStep-by-step explanation:
If the graph is not a straight line, it is not a linear function. Neither graph 1 nor graph 2 is a straight line, so neither is a linear function.
__
Graph 2 is made of parts of two straight lines. It is not one straight line, so not a linear function. It is called "piecewise linear," which is different.
Help please. Question is on the picture.
Answer:
Yes; P(blue glove) = 11/20 and P(not blue glove) = 9/20
The probability of selecting a blue glove is greater than the probability of not choosing a blue glove.
See the attached diagram below
==============================================
Explanation:
There are 3 red gloves, 6 black gloves, and 11 blue gloves. So there are 3+6+11 = 20 gloves total in the drawer. The probability of picking blue is 11/20. The probability of not picking blue is 9/20 since we had 3red+6black = 9 gloves that are not blue. Or you could note that 11/20 + 9/20 = 20/20 = 1.
------------------
The probability of picking blue is greater than the probability of not picking blue. Oliver is likely to pick a second blue glove.
The way to see how 11/20 is larger than 9/20 is to compare the numerators. We see that 11 > 9, so that helps show 11/20 > 9/20.
You could also use your calculator to look at the decimal form of each fraction
11/20 = 0.55
9/20 = 0.45
This shows 11/20 is larger.
PLEASE HELP ASAP!! :D
Answer:
x+39°+93°=180°
x+132°=180°
x=180°-132°
x=148°
What is (-2xy^3z^-2)^3(2x^2y^4z)^-2 simplified?
Answer: 3 23 divided by 22 = 2(3 - 2) = 21 = 2 think it’s 2
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "^-2" was replaced by "^(-2)".
(2): "y4" was replaced by "y^4".
STEP
1
:
Equation at the end of step 1
(((0-((2x•(y3))•z))-2)3)•(((2x2•y4)•z)-2)
STEP
2
:
Equation at the end of step
2
:
(((0 - (2xy3 • z)) - 2)3) • (2)(-2)x(-4)y(-8)z(-2)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Simplify ( -2xy3z-2 )3
Put the exponent aside and simplfy the base by pulling out like factors :
-2xy3z-2 = -2 • (xy3z+1)
Remember the 4th law of exponents : (a • b)m= am• bm
Retract the exponent and apply the 4th law to the simplified base: ( -2 • (xy3z+1) )3 = (-2)3 • (xy3z+1)3
Trying to factor as a Sum of Cubes:
4.2 Factoring: xy3z+1
Put the exponent aside, try to factor xy3z+1
Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3
Check : 1 is the cube of 1
Check : x 1 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
Dividing exponents:
4.3 23 divided by 22 = 2(3 - 2) = 21 = 2
Final result :
-2 • (xy3z + 1)3
————————————————
x12y24z6
A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
Answer:
12 loaves of bread
Step-by-step explanation:
If making one loaf of bread takes one cup of flour, using 12 cups you would make 12 loaves.
Answer:
18
Step-by-step explanation:
1 loaf bread calls for 2/3 of a cup of flour
he used 12 cups
12 ÷ 2/3 = 12 × 3/2 = 6×3 = 18
YOU GET BRAINLIEST IF YOU HAVE THE BEST PICK UP LINE ;))
LOL (free pfp)
Answer:
There is something wrong with my cell phone. It doesn't have your number in it.
Step-by-step explanation:
cheesy
pick up line lol
Answer:
Me: You wanna hear a pickup line
Chuckie: sure
Me: Its cheesy ;)
♦Will mark brainliest ♦
Hey please answer this
Which symbol replaces the box to make the statement true?
16÷4+12□4+24÷2
>
<
=
Answer:
=
Step-by-step explanation:
16 ÷ 4 + 12 ? 4 + 24 ÷ 2
Follow PEDMAS
4 + 12 ? 4 + 12 (Division first)
4 + 12 ? 4 + 12 (Addition next)
16 = 16 (They are equal)
Answer:
(=) make it a correct statement.
16÷4+12=4+24÷2
What is the y-value of the solution to this system of equations?
y=3x-13
y=2/5x-26/5
Answer:
for the first one y=-13 and the second y=-26/5
you already answered it you just had to put the y intercept in it
The class has 12 girls and 16 boys. What is the ratio of total students to boys in simplest form?
Answer:
7:4
Step-by-step explanation:
total students = 28
so ratio 28:16
which will be reduced to14:8
then 7:4
boys : girls
= 16 : 12
= 16/12
[After simplifying]
= 4/3
So, ratio of boys to girls in simplest form => 4 : 3
Hope it helps!
Graph a line that constans the point (-7,-4) and has a slope of -2/3
Answer:
2-3 -7-4 is the answer I hope it helps
Use the two points to find the slope.
Use the slope and one point to complete point-slope form
What is the situational irony in the story “Federigo’s Falcon” by Giovanni Boccaccio?
A.
Monna marries Federigo in the end, although she is not in love with him.
B.
Monna’s son has a terminal illness, so the falcon can't save him.
C.The only time Monna asks Federigo for something, he can't give it to her.
D.Federigo’s falcon dies a pointless death.
Answer:
A.
Monna marries Federigo in the end, although she is not in love with him.
Step-by-step explanation:
Answer:
The answer is C C.The only time Monna asks Federigo for something, he can't give it to her.
The Number of students in a chess club decrease from 30 to 14. What is the percent decrease? Round your answer to the nearest percent.
The percent decrease is:
Answer:
53%
Step-by-step explanation:
percent change= amount of change/ original amount
that decimal (0.53) turns into a decimal.
Jasmine created a scale drawing of her room. She used a scale of 1 in:3 feet. The drawing is 8 inches long by 6 inches wide. What is the area of the room in square feet?
Answer:
The area of the room is 432 square feet
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ The scale drawing of the room is 1 inch: 3 feet
→ That means each 1 inch in the drawing represents 3 feet in real
∵ The drawing is 8 inches long by 6 inches wide
∴ The drawing length of the room = 8 inches
∴ The drawing width of the room = 6 inches
→ By using the ratio method
→ inches : feet
→ 1 : 3
→ 8 : L
→ 6 : W
→ By using the cross multiplication
∵ 1 × L = 8 × 3
∴ L = 24
∴ The actual length of the room is 24 feet
∵ 1 × W = 6 × 3
∴ W = 18
∴ The actual width of the room is 18 feet
Use the formula of the area of the rectangle to find the area of the room
∵ Area of rectangle = length × width
∴ Area of the room = 24 × 18
∴ Area of the room = 432 feet²
∴ The area of the room is 432 square feet
Three mangos and two apples sell for $1.25. Five mangos and one apple sell for $1.50. What is the cost for each mango
Answer:
mango is .25 and apple is .25 i took a picture of my work- dont mind the purple paper it was my notes packet xdd
Step-by-step explanation:
Simplify: cot(theta)sin(theta)
A) cos(theta)
B) sin(theta)
C) cot(theta)
Step-by-step explanation:
Since cotθ = (cosθ/sinθ)
(cotθ)(sinθ) = (cosθ/sinθ)(sinθ) = cosθ. (A)
what is the reciprocal of -9/2
Answer:
-2/9
Step-by-step explanation:
Taking the reciprocal of anything just means to flip the fraction.
In this case, we are given -9/2.
Flipping the numerator and denominator gives us -2/9.
b=2-7 solve this question please
Answer:
b=−5
Step-by-step explanation:
Subtract the numbers
b=2−7
b= −5
Answer:
b = -5
Step-by-step explanation:
b = 2 - 7
b = -5
What is the coefficient in the term k?
A.0
B.1
C.2
D.k
9514 1404 393
Answer:
1
Step-by-step explanation:
The constant multiplier of k in the term "k" is 1.
The coefficient is 1.
a real estate agent gets a 6% Commission on Lots Heelys and sells. He gets 3% on Lots listed by someone else that he sells. One week you sold a $90,000 lot listed with another company and a $65,500 lot He listed. Find his Commission.
Answer:
I hope you have a good new year
3k-2=10 whats the answer
Answer:
k = 4
Step-by-step explanation:
3k - 2 = 10
3k - 2 + 2 = 10 + 2 (adding 2 to both sides)
3k = 12
3k/3 = 12/3 (dividing both sides by 3)
k = 4
Happy to help :)
Here is a 4-sided spinner.
The sides of the spinner are labelled 1, 2, 3 and 4. The spinner is biased.
The probability that the spinner will land on each of the numbers 2 and 3 is given in the table.
The probability that the spinner will land on 1 is equal to the probability that it will land on 4.
Number
I
3
4
Probability
0.46
0.28
Sarah is going to spin the spinner 500 times.
Work out an estimate for the number of times it will land on 4.
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
x = 8√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Trigonometry
[Right Triangles Only]: Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = 8
Leg b = 8
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: 8² + 8² = x²Exponents: 64 + 64 = x²Add: 128 = x²Isolate x: 8√2 = xRewrite: x = 8√2A shirt marked $320.00 was sold at a discount of 5%. What was the selling price?
Answer:
304
Step by step:
Using your calculator 5% of 320 is 16.
Since it was a discount, you subtract 16 since you're marking it down.
320-16=304
304 is your answer
How do I know? Well, there it takes 20+20+20+20+20 to equal a hundred. We can do this same math for this problem. 16 x 20 is 320
Answer:
$304.00
that is really freaking expensive shirt lol.
i thought you said shlt, not shirt lol
anyway...
Step-by-step explanation:
320 times 0.05
(don't make the mistake of 0.5 that is 50%, not 5%. )
320*0.05= 16
subtract it
320-16= 304
I keep getting stuck does anyone know the solution?
x=y+4 2x+2y=16
Answer:
Y = 2
X = 6
Step-by-step explanation:
Hope this helps. Pls give brainliest.
If x:8::5:4, then the value of x is
Answer:
Solution in photo
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
2x/5=4
2x=5×4
2x=20
x=20/2
x=10
hope is helps *hugs✨
How many solutions does this linear system have?
y=-1/2x+4
one solution: (8, 0)
one solution: (0, 8)
no solution
infinite number of solutions
Answer:
The system of equations has no solution.
NO SOLUTION!
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}y=-\frac{1}{2}x+4\\ x+2y=-8\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+\frac{1}{2}x=4\\ 2y+x=-8\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}y+\frac{1}{2}x=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+x=8[/tex]
[tex]\begin{bmatrix}2y+x=8\\ 2y+x=-8\end{bmatrix}[/tex]
subtracting equation 2y+x=8 from 2y+x = -8
[tex]2y+x=-8[/tex]
[tex]-[/tex]
[tex]\underline{2y+x=8}[/tex]
[tex]0=-16[/tex]
so the equations become
[tex]\begin{bmatrix}2y+x=8\\ 0=-16\end{bmatrix}[/tex]
0 = -16 is false, therefore the system of equations has no solution.
NO SOLUTION!
The diagram is also attached below.
Answer:
No solution
Step-by-step explanation:
Got it right edge 2020
NEED HELP QUICKLY! Giving 100 points, brainiest, thanks, and 5 stars to correct answer.
Match the reasons with the statements given.
Answer:
Step-by-step explanation:
Given the following statements
1. line RS || segment AB, ∠1=∠2
2. ∠B = ∠1
3. ∠A = ∠2
4. ∠A = ∠B
5. RA = RB
and the following reasons,
a) If lines ||, corresponding ∠'s are =
b) If two ∠'s of a triangle are =, sides opposite are =
b) If lines ||, alternate interior ∠'s =
c) Given
d) Substitution
we match the statements and the reasons to enable us prove the required proof.
Statement Reason
1. line RS || segment AB, ∠1=∠2 Given
2. ∠B = ∠1 If lines ||, corresponding ∠'s are =
3. ∠A = ∠2 If lines ||, alternate interior ∠'s =
4. ∠A = ∠B Substitution [because we are given that
∠1=∠2]
5. RA = RB If two ∠'s of a triangle are =, sides opposite are =
Answer:
Step-by-step explanation:
20 feet of lumber cost $138.40. what is the cost per foot
Answer: $6.92
Step-by-step explanation: Whenever you see the word per in a math problem, that means division. So right now, you could set up an equation that looks like this. 20L=130.40 (let L mean cost per foot of lumber). If you want to find the cost per foot you need have 1L or just L on one side of the equation. Well, the easiest way to do that would be to divide by 20 on both sides. And that would get you L= 6.92. And since L means the cost per foot of lumber, that cost would be $6.92. Hope this helps!
How many yards are in 96 inches by 30 feet?
Answer:30 x 96 feet = 10 x 32 yards
Step-by-step explanation:Convert 30 x 96 feet to yards
To convert length x width dimensions from feet to yards we should multiply each amount by the conversion factor. One foot equals 0.333333 yards, in order to convert 30 x 96 feet to yards we have to multiply each amount of feet by 0.333333 to obtain the length and width in yards. In this case to convert 30 x 96 feet into yards we should multiply the length which is 30 by 0.333333 and the width which is 96 by 0.333333. The result is the following:
30 x 96 feet = 10 x 32 yards
Definition of foot
A foot (symbol: ft) is a unit of length. It is equal to 0.3048 m, and used in the imperial system of units and United States customary units. The unit of foot derived from the human foot. It is subdivided into 12 inches.
Definition of yard
A yard (symbol: yd) is a basic unit of length which is commonly used in United States customary units, Imperial units and the former English units. It is equal to 3 feet or 36 inches, defined as 91.44 centimeters.
Meters to yards formula and conversion factor
To calculate a foot value to the corresponding value in yards, just multiply the quantity in feet by 0.333333 (the conversion factor).
Meters to yards formulae
yards = feet * 0.333333
The factor 0.333333 is the result from the division 1 / 3 (yard definition). Therefore, another way would be:
yards = feet / 3
Using our feet to yards converter you can get answers to questions like:
- How many yards are in 30 x 96 feet?
- 30 x 96 feet is equal to how many yards?
- How to convert 30 x 96 feet to yards?
- What is 30 x 96 feet in yards?
- How many is 30 x 96 feet in yards?
Hope this helped :)