Answer:
first one is distributive property
next one is combine like terms
then addition property of equality
then division property of equality
Step-by-step explanation: i got it right
The solution to the equation is a = 2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
a = 2 ( 5 - 3a ) + 4
By distributive property , we get
a = 10 - 6a + 4
By combining the like terms , we get
a = 14 - 6a
By addition property of equality , we get
7a = 14
By division property of equality , we get
a = 2
Hence , the equation is solved and a = 2
To learn more about equations click :
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The 4th grade class met their goal of reading of certain amount of hours during the fall. They earned their skiing trip this winter sponsored by the parent-Teacher organization. if each ski ticket costs $28 and there are 86 fourth grades, how much does PTO need to pay for the tickets?
Answer:
$2408.
Step-by-step explanation:
28 * 86
Make y the subject of the formula
w=x^2-2yz
Answer:
Solve for y by simplifying both sides of the equation, then isolating the variable.
y = x^2/2^z - w/2z
Step-by-step explanation:
Answer:
w=x^2-2yz
x^2-w=2yz
x^2-w=y
2z
Step-by-step explanation:
While Dr. Andy operated, he thought of consecutive odd integers. His intensas
such that 4 times the sum of the first and fourth was 12 greater than 3 times them
the second and third. What were the first four integers on Dr. Andy's list?
Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).
The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:
1/3(x)+1/4(x+1)=9.
Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...
1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).
Now the equation is 4/12(x)+3/12(x+1)=9
Multiply both sides by 12 so the denominators are gone:
[12•]4/12x+3/12(x+1)=9•12
4x+3(x+1)=108
Using distribution, it's now 4x+3x+3=108. Continuing on with the math...
7x+3=108
7x=105
x=15
We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?
5+4=9 and 9=9 so YES! The numbers are 15 and 16
The table shows the portions of copper
Ring
Portion that is Copper
Red gold
25%
Pink gold
0.2
Rose gold
9
40
Which ring has the highest portion of copper?
Answer:
Red Gold
Step-by-step explanation:
Assuming you mean 9/40
Red gold = 25%
Pink Gold = .2 which is 20%
Rose gold is [tex]\frac{9}{40}[/tex] = .225 which is 22.5%
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
The length of the missing side is 7.5
Step-by-step explanation:
let the missing side be x
[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]
98.01 = 42.25 + x^2
x^2 = 98.01 - 42.25
x^2 = 55.76
[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]
x = 7.5 or 7.47
what pattern do you noticed for each column
Answer:
If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.
For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.
This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.
Step-by-step explanation:
Hope that makes sense :)
If you still don't get it, please let me know.
1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:
g(f(-2))
Answer:
[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]
A tree that was 30 meters high was broken so that the broken part was 7 times the length of the part that was left
standing. Find the length of each part.
Please help step by step please
Answer:
Broken = 7x
Step-by-step explanation:
Left = x
x(7x) = 30
(7x² = 30)⅐
x² = 4.285
√x² = √4.285
x = 2.07
Left = 2.07 meters
Broken = 7 x 2.07 = 14.49 meters
i hope this is correct!
good luck on ur test!
x-40+9x-5 simplified
Answer:
your answer would be 10x-45
Step-by-step explanation:
What is 2x + 45?
Plz help, Wanna T.a.l.k?
Answer:
It is linear
Step-by-step explanation:
I don't know if you needed it graphed or what was needed to solve your question
8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?
F = 1.8 C + 32
(a) Work out the value of F when C = -8
Answer:
17.6°
Step-by-step explanation:
1.8x-8=-14.4
-14.4 + 32= 17.6°C
Complete the statements about the linear equation 10x + 4y =
-20. Enter the intercepts as Coordinate points.
The x-intercept is
choose your answer...
and the y-intercept is
choose your answer.…
Answer:
x-intercept: (-2, 0)
y-intercept: (0, -5)
Step-by-step explanation:
Note:Since the options were not included in the original post, I will be providing the solutions (coordinates of the intercepts).
Given the linear equation in standard form, 10x + 4y = -20, where we must determine the x- and y-intercepts of the graph:
X-intercept:The x-intercept, in the form (a, 0), is the point on the graph where it crosses the x-axis. Thus, it is the value of x when its corresponding y-coordinate is: y = 0.
In order to find the x-intercept, set y = 0 and solve for the value of x:
10x + 4y = -20
10x + 4(0) = -20
10x + 0 = -20
10x = -20
Divide both sides by 10 to solve for x:
[tex]\displaytext\mathsf{\frac{10x}{10}\:=\:\frac{-20}{\:10}}[/tex]
x = -2
Hence, the x-intercept is (-2, 0).
Y-intercept:The y-intercept, in the form (0, b ), is the point on the graph where it crosses the y-axis. Thus, it is the value of y when its corresponding x-coordinate is: x = 0.
In order to find the y-intercept, set x = 0 and solve for the value of y:
10x + 4y = -20
10(0) + 4y = -20
0 + 4y = -20
Divide both sides by 4 to solve for y:
[tex]\displaytext\mathsf{\frac{4y}{4}\:=\:\frac{-20}{\:4}}[/tex]
y = -5
Hence, the y-intercept is (0, -5).
Data gathered on the shopping patterns during the months of April and May of high school students from Peanut Village revealed the following. 38% of students purchased a new pair of shorts (call this event H), 15% of students purchased a new pair of sunglasses (call this event G) and 6% of students purchased both a pair of short and a pair of sunglasses.
Where's your question?
1. A shopkeeper buys a stove from a manufacturer. The shopkeeper sells the stove for $2700 at a profit of 25%.
(a) What is the cost price of the stove to the shopkeeper from the manufacturer? (4 marks)
(b) If the shopkeeper gives a 15% discount for cash, how much money does a customer pay for the stove?
Answer:
a.divide the amount by the percentage.
$2700× 25%
Ans:$675
subtract the selling price from the profit.
$2700 - $675
Ans:$2025
b.divide the 15% from selling price.
$2700 × 15%
Ans: 405
deduct the selling from from the discount given.
$2700 - $405
Ans: $2,295
Please Answer this (mathematics)
Answer:
50.21, 50.12, 50.102,50.021
the last one
Step-by-step explanation:
sorted into descending order
PLEASE LAST ONE HELP!!!
Answer:
JKN and ONK
Step-by-step explanation:
Hope this helps :)
Find the length of the third side. If necessary, round to the nearest tenth.
please answer a and b fast
15 marks
Answer:
a) $670
b) $6600
Step-by-step explanation:
a) The decrease by 9.4% means that the price of 1 kg of silver is 90.6% of the original price
0.906P = 607, P is the price of 1 kg of silver on 1st January 2015
P = 607/0.906 = 669.9779249 ≈ $670
b) The decrease of the price was $1320, which is 20%.
0.80P = P - 1320, P is the price of 1 tonne of copper on 1st January 2010
-0.20P = 1320
P = 1320/(-0.20) = $6600
Estimate the sum of 462+526+856
Answer: 1844 because you just simply add 462+526+856=1844.
Someone returned a pair of sunglasses for a refund of $14.75.
What number represents the effect on the store's earnings?
Answer:
-14.75
Step-by-step explanation:
i did it on iready & got it wrong .
Answer:
-14.75
Step-by-step explanation:
Drag and drop each reason next to the corresponding statement to prove ∠B ≅ ∠C, given point M is the midpoint of BC.
Answer:
1. Given
2. Definition of midpoint
3. Given
4. Reflexive property of congruence
5. SSS
6. CPCTC
Step-by-step explanation:
Rearrange to make x the subject
4(x-3) =y
pls help
what’s 4x+9-x-3x=9 ?
Answer:
x=0
Step-by-step explanation:
4x+9-x-3x=9
4x-x-3x=9-9
0x=0
x=0
If 2x +4= 36, what is the value of x?
Answer:
2x + 4 = 362x = 36-42x = 32x = 32/2x = 16Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered?
I don’t understand this :(
Step-by-step explanation:
Sum of two interior Angles equals to exterior angle . So ,
1 = 65 + 47 = 112°
And , angle sum property of a ∆ is 180° . Hence ,
2 = 180 - 65 - 68 = 47°
divide four into twelve
Answer:
3
Step-by-step explanation:
Four circles and 12 dots, divide them equally into the circles.
Answer:
3
Step-by-step explanation:
It's kinda like multiplying 3 and 4 then get 12
May I please receive help?
Answer:
74 meters
Step-by-step explanation:
which numbers belong to the solution set of the inequality x+6=45