Answers
Answer
The answer is Distributive property
SOLUTION
Problem Statement
We are given the mathematical statement below:
[tex]5(x-3)=5x-15[/tex]We are asked to find the property that justifies the above statement.
Solution
To solve this problem, we need to understand what the distributive property is.
The distributive property states:
[tex]A(B+C)=AB+AC[/tex]If A = 5, B = x and C = -3
Thus, applying the Distributive property on the left-hand side of the mathematical equation given:
[tex]\begin{gathered} A(B+C)=AB+BC \\ 5(x-3)=5(x)+5(-3)_{} \\ =5x-15 \end{gathered}[/tex]This conforms to the Distributive property
Final Answer
The answer is Distributive property
Related Questions
Find the average rate of change of the functionf (x) = 3x2 + 4x – 5over the interval [0,h], where h is a positive real number.
Answers
The average rate of change of the function over the interval (0, h) is
[tex]\frac{f(h)-f(0)}{h-0}=\frac{f(h)-f(0)}{h}[/tex]Now,
[tex]f(h)=3h^2+4h-5[/tex]and
[tex]f(0)=-5[/tex]Therefore, the average rate of change is
[tex]\frac{3h^2+4h-5-5}{h}=\textcolor{#FF7968}{\frac{3h^2+4h-10}{h}.}[/tex]brainliest if you can answer this math question
Answers
y=-5x+8
EXPLANATION:
slope is -5
y intercept is 8
Can you pls help me with this question thank you
Answers
1) In this problem, we need to make use of the order of operations.
2) Notice that we have divisions, so let's prioritize the division inside the parentheses, we can also rewrite another one, like this:
[tex]\begin{gathered} 10\div(-6--6\div6) \\ 10\div(-6-(-6)\div6) \\ 10\div(-6-(-1)) \\ 10\div(-6+1) \\ 10\div(-5) \\ -2 \end{gathered}[/tex]Notice that minus outside the parentheses work like a product (-1) x
2) Thus the answer is -2
50 points!
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer: x = 1
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth. The value of x is about .....
Answers
We are asked to find the length of one of the legs of the given right angle triangle by using the measure of the other leg, and the measure of the angle adjacent to the unknown leg "x"
Then, we use the trigonometric ratio which involves the tangent function:
tangent(angle) = opposite side/adjacent side
[tex]\tan (68)=\frac{24}{x}[/tex]We can solve for the unknown by first multiplying by "x" both sides, and then isolating the unknown as shown below:
[tex]\begin{gathered} \tan (68)=\frac{24}{x} \\ x\cdot\tan (68)=24 \\ x=\frac{24}{\tan (68)} \\ x\approx9.6966 \end{gathered}[/tex]Since the image is chopped, could you tell me what they say about the rounding they want? Round the answer to what?
If they want you to round the answer to one decimal (the nearest tenth) then we do:
x = 9.7
if they want us to round it to the nearest whole number, we give:
x = 10
Write a ratio and a percent for the shaded area. A 3/10, 27% B. 1/2, 50% c. 1/3, 33.33% D. 3/10,30%
Answers
The total number of squares is 6x6 = 36
the number of squares of the shaded area is 3x4 = 12
RatioWe find the ratio by dividing those two quantities:
[tex]\frac{12}{36}=\frac{1}{3}[/tex]PercentageWe find the percentage by multiplying the result by 100%
[tex]\frac{1}{3}\times100=0.333\times100=33.33[/tex]Answer: C. 1/3 = 33.33%Determine if the conclusion follows logically from the premises.Premise: If you have a maple tree, then you have to rake leaves in autumnPremise: Jon has to rake leaves in autumnConclusion: Jon has a maple treeValid argumentInvalid argument
Answers
The conclusion is an invalid argument.
Because if you have any tree you have to rake leaves in autumn. THen Jon could possibly have any tree.
Thus the argument is invalid
emeline can type at a constant rate of 1/4 pages/minute.c emeline has to type a 7 page article. How much time will it take her?
Answers
Step 1. Since Emeline can type at a constant rate of 1/4 pages per minute, she will write 1 page in
[tex]\frac{1}{4}\text{pages in 1minute }\longrightarrow\frac{1}{4}\cdot4=1page\text{ in }1\cdot4=4\text{ minutes}[/tex]She writes 1 page in 4 minutes.
Step 2. Now that we know how much it takes Emeline to write one page, we multiply that by the number of pages that she has to write for the article:
[tex]4\text{ minutes }\cdot7=28\text{ minutes}[/tex]It will take her 28 minutes.
Answer: 28 minutes
write out the steps for graphing a piecewise function with 3 equations and sketch a graph
Answers
Given the piecewise function below:
[tex]h(x)=\begin{cases}2x,x\le-2 \\ x^2-1,-2For the first equation: h(x)=2x[tex]\begin{gathered} At\text{ }x=-4,h(-4)=2(-4)=-8\implies(-4,-8) \\ At\text{ }x=-2,h(-2)=2(-2)=-4\implies(-2,-4) \end{gathered}[/tex]Join the point
Angles A and B are supplementary. If m∠A=67°, find m∠B.
Answers
Two Angles are Supplementary when they add up to 180 degrees, in this case we have:
[tex]67^o+m\angle B=180^o[/tex][tex]m\angle B=180^o-67^o[/tex][tex]m\angle B=113^o[/tex]I know to solve its y over x (y/x) but it comes out to 0.25 and that’s not one of the answer choices? And I think it might me B. but I’m not sure? Also please provide an explanation
Answers
since the statement gives values of y and x, find the value of k
[tex]\begin{gathered} k=\frac{y}{x} \\ k=\frac{1.5}{6} \\ k=0.25=\frac{1}{4} \\ \text{the function is } \\ y=\frac{1}{4}x \end{gathered}[/tex]Solve 3 x − 5 = 2 − 6 x for x
Answers
Answer:
[tex]\boxed{\sf \boxed{\sf x=\frac{1}{3}}\; or\;\boxed{\sf x=0.333...}}[/tex]
Step-by-step explanation:
[tex]\sf 3x-5=2-6[/tex]
Subtract numbers:-
[tex]\sf 2-6=\bf -4[/tex]
[tex]\sf 3x-5=-4[/tex]
Add 5 to both sides:-
[tex]\sf 3x-5+5=-4+5[/tex]
Simplify:-
[tex]\sf 3x=1[/tex]
Divide both sides by 3:-
[tex]\sf \cfrac{3x}{3}=\cfrac{1}{3}[/tex]
Simplify:-
[tex]\sf x=\cfrac{1}{3}[/tex]
__________________
Hope this helps!
Have a great day! :)
Answer:
x = 7/9
Step-by-step explanation:
Given equation,
→ 3x - 5 = 2 - 6x
Now the value of x will be,
→ 3x - 5 = 2 - 6x
→ 3x + 6x = 2 + 5
→ 9x = 7
→ [ x = 7/9 ]
Hence, value of x is 7/9.
Which of the following phrases represents n ÷ 5?the sum of five and a numbera number decreased by fivethe quotient of a number and fivefive divided by a number
Answers
Answer:
The quotient of a number and five
Explanation:
Given:
[tex]n\div5[/tex]To find:
The phrase that represents the above expression
The below phrase represents the given expression;
The quotient of a number and five
hueueueirt87ueueuueueuhe
Answers
let the number be represented by x
so, if 1 is added to the number
the result would be 5 more than (5 plus) 4 times the number
let's write out an equation for this
[tex]1+x=4x+5[/tex]the equation above is a mathematical translation of the statement
step one
collect like terms
[tex]\begin{gathered} 1+x=4x+5 \\ 1-5=4x-x \\ -4=3x \end{gathered}[/tex]step two
divide both sides by the coeffiecient of x
[tex]\begin{gathered} 3x=-4 \\ \frac{3x}{3}=-\frac{4}{3} \\ x=-\frac{4}{3} \end{gathered}[/tex]from the calculation above, the unknown number is -4/3
a stairway consists of 4 in rises and treads of 18 in if the height of the stairs is 4 feet what is the distance taken up by the stairway on the lower floor
Answers
If we have x flights of stairs.
The height of the stairs would be 4x.
The height of the stairs is given as 4 feet = 4 x 12 = 48 inches.
Therefore there are 48/4 = 12 flights of stairs.
The distance taken by the stairs on the lower floor would be
18 x 12 = 216in or 18 feet.
An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a queen ? Question content area bottomPart 1The probability of drawing a queen is enter your response here .(Type an integer or a simplified fraction.)
Answers
Given:
Total number of cards = 52
Number of cards drawn = 1
Then:
Number of ways of drawing a card from 52 cards
[tex]\begin{gathered} =^{52}C_1 \\ =52 \end{gathered}[/tex]Number of queens in a deck of cards = 4
Number of ways that one card is a queen
[tex]\begin{gathered} =^4C_1 \\ =4 \end{gathered}[/tex]Probability of drawing a queen
[tex]\begin{gathered} =\frac{\text{ Number of favorable cases}}{\text{ Total number of cases}} \\ =\frac{4}{52} \\ =\frac{1}{13} \end{gathered}[/tex]Final answer: 1/13
Write the equation of the horizontal line that goes through the point (9, 6).
Answers
Given the point:
(x, y) ==. (9, 6)
Let's write the equation of the horizontal line that goes through the given point.
On a horizonal line, every point on the line has the same value of y.
The slope of a horizontal line is 0.
Since every point on a horizontal line has the same value of y, to find the equation of a horizontal line, we are to use the y-coordinate of the point to find the equation of the horizontal line.
We have:
y-coordinate of the point = 6
Hence, the equation of the horizontal line that goes through the point is:
y = 6
ANSWER:
y = 6
Homework: 6.3 HWQuestion 8, 6.3.17ОРAn employee makes $14.41 per hour but is getting a 4% increase. What is his new wage per hour to the nearest cent?His new wage per hour is $(Type an integer or decimal rounded to two decimal places as needed.)
Answers
The employee's original wage is $14.41 per hour.
If the wage increases by 4%, the percentage increase will be:
[tex]\Rightarrow\frac{4}{100}\times14.41=0.58[/tex]Therefore, the new wage per hour will be:
[tex]\Rightarrow14.41+0.58=14.99[/tex]The new wage is $14.99.
p+3w=-79-5p+w=-5Solve the system using the elimination method if there is no solution put no solution if there is infinite solutions put infinite
Answers
p+3w=-79
-5p+w=-5
Multiply the second equation by 3 and then subtract the second equation:
p + 3w = -79
-
-15p + 3w = -15
_____________
16p = -64
p= -64/16
p= -4
Replace p on any equation and solve for w
-4 + 3w = -79
3w = -79 + 4
3w = -75
w= -75/3
w= -25
Solution:
p= -4
w= -25
which statement best describes the association between the energy and light output of these light bulbs?
Answers
As we can see from the graph, we can see that we could have two populations of lightbulbs in the graph. If we draw or try to approximate a line to these two different populations of lightbulbs, we end up with the next graph:
Then, we can conclude that, for most cases, as the energy increases, the light output increases too. Of course, there are some exceptions like the point (18, 800), but the tendency is in this way.
Therefore, the statement that best describes the association between the energy and light output is statement F: As the energy increases, the light output increases.
I need help with this practice problem It’s from my trig bookI attempted this problem earlier, later, if you can, check if I am correct. I will send a pic of my work.
Answers
Given the right triangle:
Taking the cosine of the angle θ:
[tex]\cos \theta=\frac{2\sqrt[]{6}}{2\sqrt[]{15}}=\frac{\sqrt[]{2}}{\sqrt[]{5}}[/tex]Now, taking the arc cosine to find θ:
[tex]\begin{gathered} \theta=\arccos (\sqrt[]{\frac{2}{5}}) \\ \therefore\theta\approx50.8\degree^{} \end{gathered}[/tex]A school sells adult tickets and student tickets for a play. It collects $1,400 in total The graph shows the possible combinations of the number of adult tickets sold and the number of student tickets sold. What does the vertical intercept (0.200) tell us in this situation? O (1 Point) It tells us the decrease in the sale of adult tickets for each student ticket sold It tells us that if no adult tickets were sold, then 200 student tickets were sold It tells us that is no students tickets were sold, then 200 adult tickets were sold It tells us the decrease in the sale of student tickets for each adult ticket sold.
Answers
In the graph, the horizontal axis represents the number of adult tickets sold
And the vertical axis represents the corresponding number of student tickets sold.
The vertical intercept, as we are indicated is at (0,200)
That point is at 0 in the horizontal axis and at 200 on the vertical axis, comparing with what each axis represents:
(0,200) represents that when 0 adult tickets are sold, 200 student tickets are sold.
Answer:
it tells us that if no adult tickets were sold, 200 student tickets were sold
i need the number that goes in the little boxes
Answers
Yes 6 is the solution of the equation because replacing x with 6 and simplifying on the left side results in - 2, which equals the right side.
What is the basic equation?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." When two expressions are joined by an equal sign, a mathematical statement is called an equation.
The given equation is x - 9 = - 3.
The given solution to the equation is 6.
Put 6 in place of x in the equation
6 - 9 = - 3
- 3 = - 3
So, the left-hand side of the equation is equal to the right-hand side. So, 6 is the solution to the equation x - 9 = - 3..
To know more about the basic equations, visit:
brainly.com/question/15184412
#SPJ1
for the arithmetic sequence 42, 32, 22, 12... find the 18th term.
Answers
Answer:
The18th term of the given sequence is -128
Explanation:
To find the 18th term of the sequence:
42, 32, 22, 12, ..., we need to find the nth term of the sequence first.
The nth term of a sequence is given be the formula:
[tex]T_n=a+(n-1)d[/tex]Where a is the first term, and d is the common difference.
Here, a = 42, d = 32 - 42 = -10
[tex]\begin{gathered} T_n=42+(n-1)(-10) \\ =42-10n+10 \\ T_n=52-10n \end{gathered}[/tex]To find the 18th terem, substitute n = 18 into the nth term
[tex]\begin{gathered} T_{18}=52-10(18) \\ =52-180 \\ =-128 \end{gathered}[/tex]What is 3y + 5x = -15 written in slope-intercept form?O y- &x+5O y--gx-5o y- x-5O y--3x+5
Answers
The slope-intercept form of a linear equation is:
[tex]\begin{gathered} y\text{ = mx + c} \\ \text{where m is the slope} \\ \text{and c is the intercept} \end{gathered}[/tex]Given:
[tex]3y\text{ + 5x = -15}[/tex]Solution
By re-arranging the given expression, we have:
[tex]\begin{gathered} \text{Dividing through by the coefficient of y} \\ \frac{3y}{3}\text{ + }\frac{5x}{3}\text{ = }\frac{-15}{3} \\ y\text{ + }\frac{5}{3}x\text{ = -5} \\ y\text{ = -}\frac{5}{3}x\text{ - 5} \end{gathered}[/tex]Help me please, the one selected is the correct graph
Answers
SOLUTION
The table of values is shown below
So the missing values for y are 8 and then 6
The option for the graph is the 3rd graph, the one you selected
Aniya can dribble a basketball 50 times inminute with her right handand 30 times inminute with her left hand. What is the ratio of herright-hand to her left-hand dribbling rate?
Answers
To find the ratio of her right-hand to her left-hand dribbling rate
We will simply divide 50 by 30 and then reduce to its lowest term
50/30 = 5/3
The ratio is 5:3
which of these is an example of a proportional relationship
Answers
A proportional relationship is essentially a function where the output is a direct product of the input and the coefficient. Any relationship that has another constant term is not a proportional relationship because the final product is offset by the constant term.
The final answer where Samuel earns $20 for each lawn he mows can be expressed as 20x. This is a proportional relationship because the total money he earns is a product of the rate and x-value.
g(n)= -2n-4f(n)= 2n+1find (g-f) (2)
Answers
Now
[tex](g-f)(2)=g(2)-f(2)=-8-5\Rightarrow(g-f)(2)=-13[/tex]danielle read 5/6 hour each day for 5 days. Select all the expressions that tell how long Danielle read in all. Use drawings or number lines as needed.
Answers
Given data
Danielle read 5/6 hour each day.
For 5 days,
Danielle read = 5 x 5/6 First correct expression
Danielle read = 25/6 Second correct expression
[tex]\text{Danielle read = 4}\frac{1}{6}\text{ Third correct expression}[/tex][tex]\begin{gathered} F\text{ inal answer} \\ 5\text{ }\times\text{ }\frac{5}{6} \\ \frac{25}{6} \\ 4\frac{1}{6} \end{gathered}[/tex]