Answer:
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
Step-by-step explanation:
Given
[tex]F.\ $a\left(b+c\right)=ab+c$[/tex]
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
[tex]H.\ $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$[/tex]
[tex]I.\ $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$[/tex]
Required
Which of the options shows Distributive Property
Distributive property states that
For: [tex]a(b + c)[/tex]
The equivalent is: [tex]ab + ac[/tex]
In other words:
[tex]a(b + c) = ab + ac[/tex] ----- (1)
Having mentioned that;
Next, we compare the list of given options to (1) above
Option G matches (1).
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
Hence, option G correctly demonstrates distributive property
help PLEASEE BRAINLIST
Answer:
The first two on the right will not be used
3. goes to 1.
4. goes to 2.
5. goes to 4.
6. goes to 3.
Step-by-step explanation:
Find the distance between (-1,4) and (5,7).
Answer:
(2, 5.5)
Step-by-step explanation:
Use the midpoint formula.
help me and ill give you like and brainliest
Answer:constrictive intergers
Step-by-step explanation:
Answer:
[tex]140,141,142,143[/tex]
Step-by-step explanation:
[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]
please answer the question below
Answer:
8 mm
Step-by-step explanation:
If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?
====================================
Work Shown:
Plug in (x,y) = (3,0)
ax - 8y = 15
a(3) - 8y = 15 .... replace x with 3
3a - 8(0) = 15 ... replace y with 0
3a - 0 = 15
3a = 15
a = 15/3
a = 5
The equation updates to 3x - 8y = 15.
What is the range of {( -1,6), (2,0), (9,-3), (-4,6)}
Answer:
Range: {6,0,-3}
Step-by-step explanation:
Carrie read a total of 18 books over 6 months. If Carrie has read 30 books so far, how many months has she been with her book club? Assume the relationship is directly proportional.
? months
Answer:
10 months
Step-by-step explanation:
If we divide 18 and 6, you would get 3. This means that Carrie reads 3 books per month and we can divide 30 and 3 to figure out how many months that she read which is 10.
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.
x+ y= 24
3.50x + 5.00y = 97.50
Solve the system of equations. How many 10 oz. boxes were sold?
6
9
12
15
9514 1404 393
Answer:
15
Step-by-step explanation:
We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...
3.50x +5.00(24 -x) = 97.50
-1.50x +120 = 97.50
22.50 = 1.50x . . . . . . . add 1.50x -97.50
15 = x . . . . . . . . . . . . . . divide by 1.50
15 10-oz boxes were sold.
Answer:
The answer is D) 15 on edge
(have a nice day and brainiest pls)
Step-by-step explanation:
NEED HELP ASAP!!!! please !!!!
Question 19
Ellie earns $10.50 per hour as a server working x hours per week. She also earns $8.50 per hour editing poetry for y hours per
week. Ellie needs to make at least $125 to pay her cell phone bill, but she has at most 17 total hours to work per week with
her busy college schedule.
The system of linear inequalities modeling this situation is shown.
10.50x +8.50 y 2 125
x + y 517
Which statement represents a solution to the system of linear inequalities?
Answer:
what are the statements
Step-by-step explanation:
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks
Numberof socks
white
black
blue
brown
3
8
6
3
The ratio of white socks to brown socks is
division problem help pls
Answer: B. D. E. F.
Step-by-step explanation:
A turtle walks of a mile in 40 minutes. What is the unit rate when the turtles speed is expressed in miles per hour (60 minutes)? (needs to be a denominator)
Answer:
1.5 miles per hour.
Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.
simplify 6 + 15 x 72=
Answer:
1086
Step-by-step explanation:
BODMASS (Multiplication first, addition after)...
15×72= 1080
1080+6= 1086
hope it helps
Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.
PEMDAS:
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
That's the order of operations if you ever want to know what to do first.
Brianna is getting materials for a chemistry experiment. Her teacher gives her a container that has 0.25 liter of a liquid in it. Brianna needs to use 0.4 of this liquid for the experiment. How much liquid will Brianna use?
Answer: 0.1 liter
Step-by-step explanation:
From the question, we are informed that Brianna teacher gives her a container that has 0.25 liter of a liquid in it and she needs to use 0.4 of this liquid for the experiment.
The amount of liquid that Brianna will use will be:
= 0.4 × 0.25 liters
= 0.1 liter
how many times can 42 go into 278?
Answer:
6.61 or 6 times
Step-by-step explanation:
278/42 = 6.61
42 goes into 278 6.61 times.
If you are estimating, 6 is correct.
If you are finding the exact answer, 6.61 is correct.
I hope this helps with your question.
(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.
Constant of Proportionality =
Answer:
Fraction form:
[tex]\frac{3}{4}[/tex]
For every 3 dollars, there are 4 cookies
Step-by-step explanation:
To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.
Hope this helps! :)
solve for x please
Answer:
129
Step-by-step explanation:
The sum of all angles in any quadrilateral is 360°
so, you can make the following equation:
71 + 48 + 112 + x = 360
231 + x = 360
Subtract 231 from both sides of the equation
231 + x - 231 = 360 - 231
x = 360 - 231
x = 129
Step-by-step explanation:
The given image is a trapezium. A trapezium is a quadilateral. Hence , it's sum of angles is 360°
To solve for x ;
[tex]71° + 48° + 112 ° + x° = 360° \\ 231 + x = 360 \\ x = 360 - 231 \\ x = 129[/tex]
Write the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5).
Answer:
y = 2/5x - 3
Step-by-step explanation:
First, we have to know what the slope is. Being perpendicular to -5/2, the slope becomes 2/5.
Then, you substitute the slope and given point into the equation to find the y-intercept.
y = 2/5x + b
(-5) = 2/5(-5) + b
(-5) = (-2) + b
b = -3
So, the equation is
y = 2/5x - 3
The equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
We have the Equation,
y= -5/2x + 1
Here, the slope is -5/2.
Since perpendicular line have negative reciprocal of the slope of the given line.
So, the slope of the line perpendicular is 2/5.
Using point-slope form of the equation to find the equation of the perpendicular line.
The point-slope form is given by:
y - y1 = m(x - x1)
Using the point (-5, -5) and the slope 2/5,
y - (-5) = 2/5(x - (-5))
y + 5 = 2/5(x + 5)
y + 5 = 2/5x + 2
y = 2/5x - 3
Therefore, the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ6
Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?
Answer:
im pretty sure its option 3
Step-by-step explanation:
its unique
Answer:
Option 2
Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.
What is the common ratio:The sequence 200, 100, 50, 25, ... has a common ratio of___
Answer:
answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
1
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
200
and
r
=
1
2
.
a
n
=
(
200
)
⋅
(
1
2
)
n
−
1
Simplify the expression.
Tap for more steps...
a
n
=
200
⋅
1
2
n
−
1
Combine
200
and
1
2
n
−
1
.
a
n
=
200
2
n
−
1
The common ratio is 1/2.
Given that
The sequence 200, 100, 50, 25.
How to find the common ratio?The common ratio is determined by dividing the second term by the first term.
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]
Here, the second term is 100 and the first term is 200.
Then,
The common ratio is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]
[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]
The common ratio between third term 50 and second term 100 is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]
Hence, the common ratio is 1/2.
To know more about the Common ratio click the link given below.
https://brainly.com/question/13162487
A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?
I NEED LOTS OF HELP IF U ANSWER THIS CORRECTLY I WILL GIVE YOU BRAINLYIST PLEASE PLEASE PLEASE ANSWER THIS
Is point 25,20 on the line
Answer:
What Line? it doesnt touch the x or y axis.
Step-by-step explanation:
What is the equation of this line in slope intercept form? 2x+y=−19
y=−2x−19
y=2x+19
y=2x−19
y=−2x+19
Please help
What is the difference of the fractions? Use the number line to help find the answer. 1 3 5 4 -1 ok -12 -10 8 20 20 000 0 10 12 14 16 18 20 O 19 20 о O 11 20 O 20 19 20
Answer: -11/20
Step-by-step explanation:
1/5-3/4= 4/20-15/20= -11/20
Answer:
The answer is -11/20 aka b
Step-by-step explanation:
Bunny works as a furniture salesperson and earns a base salary of $400 per week plus 5.5%n commission on sales. What was bunny's weekly gross salary if her total sales was $3300
Answer:
4x67€hus de tus nos cos
Eric had $15.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?
13
14
15
16
Answer:
13
Step-by-step explanation:
so you take $15 ÷ $1.14 = 13.15789. so you round it to 13
what is the simplified unit rate of 1/3 and 3/4
Answer:
3/4 = 0.75 1/3 = 0.3333
Step-by-step explanation:
Solve by using elimination. Express your answer as an ordered pair.
Answer:
(-2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-x - 2y = 2
4x - 2y = -8
Step 2: Rewrite Systems
-x - 2y = 2
Multiply both sides by -1: x + 2y = -2Step 3: Redefine Systems
x + 2y = -2
4x - 2y = -8
Step 4: Solve for x
Elimination
Combine equations: 5x = -10Divide 5 on both sides: x = -2Step 5: Solve for y
Define equation: 4x - 2y = -8Substitute in x: 4(-2) - 2y = -8Multiply: -8 - 2y = -8Isolate y term: -2y = 0Isolate y: y = 0Greetings again.
The answer is (-2,0)
Explanation:
This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)
But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.
And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.
We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.
[tex]-x-2y=2[/tex]
Multiply -1 in whole equation.
[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]
Remind that negative multiply/distribute in negative equal positive always.
And x + 2y = -2 is your new equation from the first equation.
[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]
This is our new equations. Then we are able to eliminate y-term.
[tex]5x=-10\\x=-2[/tex]
In case if you forget again, we can simply add/subtract vertically.
x+4x = 5x
2y-2y = 0
-2-8 = -10
That's how we get 5x=-10 and thus x = -2.
We already get x-value, and you know that we need to find the y-value too.
Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.
I'll substitute in -x-2y=2
[tex]-x-2y=2[/tex]
Substitute x = -2 in the equation.
[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]
Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)