Answer:
Distributive property
a and Ly started sung money at the same time for Christmas gis erika started with $100 and added $35 a week. Uly saved $60 a week and
started with 25. How many weeks will it take for them to have the same amount of money saved for Christmas gifts?
weeks torna and Ly to have the same amount of money saved up
Answer:
Step-by-step explanation:
Erika: y = 35x + 100
Ly: y = 60x + 25
60x + 25 = 35x + 100
25x + 25 = 100
25x = 75
x= 3 weeks
Erika: y = $35(3) + 100= 105 + 100 = $205
Ly: 60(3) + 25 = 180 + 25 = $205
Which is an example of deductive reasoning?
Answer:
In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.
Step-by-step explanation:
Answer:
All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.
Step-by-step explanation:
Marco walked 27/100 kilometer to the park. then he walked 3/10 kilometer to the library. What fraction of a kilometer did he walk in all?
Answer:57/100
Step-by-step explanation:
First, convert 3/10 into hundreths to get a denominator equal to the other:
3/10 km = 30/100km
Add the numerators: 27+30=57
Place numerator over common denominator: 57/100
Describe and correct the error a student made when starting to solve the equation 8 ^ (x + 3) = 2 ^ (2x - 5) 8 ^ (x + 3) = 2 ^ (2x - 5) (2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5) 2 ^ (3x + 3) = 2 ^ (2x - 5) Choose the correct answer below A. The student should have divided both sides by 2 ^ 2 to simplify the expression B. The student did not convert 8 to the correct power of 2 C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3 D.The student should have expressed the initial rational exponent as the sum of two rational exponents ..
Answer:
C. is the correct option
C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3
and x = - 14
Step-by-step explanation:
8 ^ (x + 3) = 2 ^ (2x - 5)
Here is how the student solved the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
2 ^ (3x + 3) = 2 ^ (2x - 5) ----- This is where the student made the error.
The student did not distribute 3 in * (2 ^ 3) ^ (x + 3).
This is how to solve the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
Then, we will 3 distribute in (2 ^ 3) ^ (x + 3), so that we get
2 ^ (3x +9) = 2 ^ (2x -5)
Since the bases on both sides of the equation are equal, we can equate the powers so that we get
(3x +9) = (2x -5)
Then we will collect like terms
3x - 2x = -5 -9
∴ x = -14
This solution could be better written in this format
[tex]8^{x+3} = 2^{2x-5} \\2^{3} ^{(x+3)} = 2^{2x-5}\\2^{(3x+9)} = 2^{2x-5}\\{(3x+9)} = {2x-5} \\3x-2x= -5-9\\x = -14[/tex]
If a triangle is an equilateral triangle, then the triangle has exactly three 60°
angles. △ABC is an equilateral triangle?
Step-by-step explanation:
In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.
We know that the sum of angles of a triangle is equal to 180 degrees. It means that,
x+x+x=180
3x=180
x=60°
Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle
When translating a number to the scientific notion (ex: 0.000157), do you count the zero to the left of the decimal point? Like would the scientific notion of 0.000157 be 1.57 x 10^-4 ? If you could explain how scientific notion works that be great. thanks
Answer:
You do not count the zero to the left of the decimal
Step-by-step explanation:
That zero is just a placeholder as there is nothing to the left of the decimal, you could also write the number as .000157
Your answer is correct, 0.000157 is 1.57x10^-4
Scientific notation is just expressing numbers in their exponential form. The power/exponent is found by counting how many times the decimal has moved to the right or the left.
What is the result when the number 10 is decreased by 5.1%?
Answer:
(10/100)*94.9 = 9.49
Step-by-step explanation:
Divide by 100 and multiply by 100-5.1 = 9.49
Phil has drawn some house plans in which the lounge room will be 9.5 m long when it is built. This length has been drawn as 19cm on the house plan. What scale did Phil use for his house plans?
Answer:
1:50 scale
Step-by-step explanation:
9.5m * 100 = 950cm
950/19 = 50
83.63 - 2.89 × (4.9 - 2.9)2 A. 72.07 B. 50.43 C. 1,046.56 D. 49.31 Please help
Answer:
A would be the anwser
Step-by-step explanation:
Answer: A. 72.07
Step-by-step explanation: Plato
PLEASE HELP ALGEBRA 2!!
Answer:
8- option 4
9- option 2
10-option 1
What is the simplified expression for 5ab+9ab-ab? 0 12ad O 13ab 0 15ad O 16ab
Answer:
13ab
Step-by-step explanation:
5ab+9ab = 14ab. 14ab-1ab=13ab.
Good luck
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? I need help!!!
Answer:
6(2x+1) – 3 = 4x – 5
Firstly multiply
12x + 6 -3 = 4x-5
12x - 4x = -5-3
8x = -8
x =-1
The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =
Now the given equation is,
6(2x+1) – 3 = 4x – 5
So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,
12x + 6 – 3 = 4x – 5
or, 12x + 3 = 4x – 5
Taking alike terms together we get,
12x - 4x = – 5 - 3
Solving we get,
8x = -8
Dividing both side by 8 we get,
x = -1
which is the required solution of the given equation.
Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
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help please!
find the value of x so that the figures have the same perimeter
Answer: 7
Step-by-step explanation: For the first figure, 7 + 3 = 10, so the perimeter would be 10 + 10 + 7 + 7, which equals Perimeter = 34. For the other figure, 7 - 4 = 3, so 3 + 14 + 14 + 3 = 34, also. Hope this helps!
Olga tried to solve an equation step by step.
1/4 (1/3k+9)=6
1/3k=15
k=5
Find Olga's mistake.
I need helpp asap pleasee
Answer:
0
Step-by-step explanation:
im pretty sure the answer is 0. bc -17-(-17)=0 and the square root of 0 is 0.
Write an integer for: a deposit of $45 * Plz help fast!
Answer:
$45
Step-by-step explanation:
A deposit is positive, so the integer will be positive.An integer is a whole number that's not a fraction, so a positive integer for 45, would be 45.I hope this helps!
An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.
What are integers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
We have to write an integer for: a deposit of $45 *
A deposit is positive, therefore the integer will be positive.
An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.
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I need help on 27-30
solve for the equation 2x+9=3x
if M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.
Answer:
work is attached and shown
Help me plz I don't know how to this I don't understand!!!
The answer is B.
In order for this chart to be true, each x and y pair must be proportional to the other ones. (in other words, each row of x and y should increase the same amount as the other ones.)
look at the first row. we can write this as 3/5 (x over y). then look at the third and fourth row. 6/10 = 3/5, and 9/15 = 3/5, so the pairs are proportional.
12 POINTS I NEED SOMEONES HELP BEFORE THIS DAY FINISHES
A town has a population of 2000 and grows at 4% every year. Write an
equation to represent the scenario
Answer:
2000+ (2000× .04x)
Step-by-step explanation:
2000 people plus the percent that it grows, found by multiplying .04 (4%) by the original number. the x is the number of years
the sqaure root of 130 falls between which consecutive numbers
81 minus 39
And can you explain how plz?. Lol i meed it asapp
Answer:
42Step-by-step explanation:
[tex]81-39\\\\\mathrm{Line\:up\:the\:numbers}\\\begin{matrix}\space\space&8&1\\ -&3&9\end{matrix}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}\\\begin{matrix}\space\space&8&\textbf{1}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\\\mathrm{Borrow\:}1\mathrm{\:from\:}8\mathrm{.\:\:The\:remainder\:is\:}7\\[/tex][tex]\begin{matrix}\space\space&\textbf{7}&10\\ \space\space&\textbf{\linethrough{8}}&1\\ -&\textbf{3}&9\end{matrix}\\\\\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11\\\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-9=2\\[/tex]
[tex]\frac{\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{2}\end{matrix}}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:7-3=4\\\\\frac{\begin{matrix}\space\space&\textbf{7}&11\\ \space\space&\textbf{\linethrough{8}}&\linethrough{1}\\ -&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\textbf{4}&2\end{matrix}}[/tex]
Which step can you use to solve the equation t - 8= -3?
O Add 8 to each side of the equation.
Subtract 8 from each side of the equation.
O Multiply each side of the equation by 8.
O Divide each side of the equation by 8.
Solve the equation t-8=
3.
What is 67840000000 in scientific notation ?
Answer:
6.784 × 10¹⁰
Step-by-step explanation:
→ First count the number of 0's
0000000 = 7 zero's
→ Count how many decimal places until a single digit
6.784 = 3 decimal places
→ Add the number of zero's with the decimal place's
7 + 3 = 10
6.784 × 10¹⁰
Answer:
6.784 times 10^10
Step-by-step explanation:
Hopes this helps :)
Can I pls get a brainliest
Which function is most likely graphed on the coordinate plane below? f(x) = 3x – 11 f(x) = –4x + 12 f(x) = 4x + 13 f(x) = –5x – 19
Answer:
D
Step-by-step explanation:
It's D on Enginuity
The graph of the function in the coordinate plane is f(x) = –5x – 19.
What is a Graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
As per the given diagram:
The x intercept of the line = -ve
The y intercept of the line = -ve
For f(x) = 3x - 11
x intercept = +ve
y intercept = -ve
Hence, not possible
For f(x) = -4x + 12
x intercept = +ve
y intercept = +ve
Hence, not possible
For f(x) = 4x + 13
x intercept = -ve
y intercept = +ve
Hence, not possible
For f(x) = -5x - 19
x intercept = -ve
y intercept = -ve
Hence, possible
The function plotted on the coordinate plane is f(x) = –5x – 19.
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Xavier currently pays $11.50 per movie he downloads with his current movie package. a new movie package charges $10 per movie downloaded with a $15 joining fee. How many movies would he need to download for him to want to switch?
Answer:
4
Step-by-step explanation:
after paying for 4 movies he's spent more than how much he would pay at the other one for downloading 4 movies
if Kyle's terrarium had a volume of 64 ft3 ,what would the edge length be?
Answer:
4 ft
Step-by-step explanation:
Volume of a cube = [tex]x^{3}[/tex] (where x equals the side/edge length)
V = [tex]x^{3}[/tex]
64 = [tex]x^{3}[/tex]
64 divided by 3 = 4 ft
Cuanto es la respuesta de -126=14k?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \text{ - 126 = 14k}}[/tex]
[tex] \text{step \: 1 \: : Intercambia los lados de la ecuación}[/tex]
[tex] \hookrightarrow{ \sf{14k = - 126}}[/tex]
[tex] \text{step \: 2 : Divide ambos lados por 14}[/tex]
[tex] \hookrightarrow{ \sf{ \frac{14k}{14} = \frac{ - 126}{14}}} [/tex]
[tex] \text{step \: 3 \: : Calcular}[/tex]
[tex] \hookrightarrow{ \sf{k = - 9}}[/tex]
[tex] \text{el valor de k es - 9}[/tex]
------------------------------------------------------------
Translation in English:
Step 1 : Swap the sides of the equation
Step 2 : Divide both sides by 14
Step 3 : Calculate
[tex] \sf{Hope \: i \: helped ! }[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \sf{TheAnimeGirl}[/tex]
what is the answer to
10 + (-4)
Answer:
6
Step-by-step explanation:
Note the rules for signs directly next to each other:
If there is two positive signs, the result will be positive.
If there is one positive and one negative sign, the result will be negative.
If there is two negative signs, the result will be positive.
In this case, there is a positive and a negative sign. You are, therefore, subtracting 10 with 4:
10 + (-4) = 10 - 4 = 6
6 is your answer.
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