~[tex]\frak{LoveYourselfFirst:)}[/tex]
Hey there!
Do you remember what the Distributive property states? If not, no worries! Here's what this property states:
a(b+c)=ab+ac
In this formula, a, b, and c can be
Constants. These are numbers like 1, 2, 3, or -1, -2, -3... or even fractions, decimals... (all real numbers)Variables. These are letters like d, a, s, e, t, k, a...Variables can have a number next to them; it's called a coefficient.Now that we know what this property states, let's simplify this expression.
5(x-2)
First, multiply 5 times x:
5x (5 is the coefficient of x, by the way)
Then, multiply 5 times -2 (please pay attention to the sign) :)
-10
Put both terms together.
Hence, the simplified expression is
[tex]\boxed{\boxed{\bold{5x-10}}}[/tex]
Is it possible to simplify the expression any further? No.
Why? Because 5x and -10 aren't like terms, so we cannot combine them.
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms. A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?
Answer:
Each large box weighs 15.25 kg, and each small box weighs 6.25kg
Step-by-step explanation:
Let's define the variables:
A = weight of a large box.
B = weight of a small box.
We know that:
"A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms."
We can write this as:
5*A + 3*B = 95 kg
We also know that:
"A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms."
2*A + 6*B = 68kg
Then we have the system of equations:
5*A + 3*B = 95 kg
2*A + 6*B = 68kg
To solve this, the first step is to isolate one of the variables in one of the equations.
I will isolate the variable A in the second equation:
A = 68kg/2 - 6*B/2 = 34kg - 3*B
A = 34kg - 3*B
Now we can replace this in the first equation:
5*( 34kg - 3*B) + 3*B = 95 kg
170kg - 15*B + 3*B = 95 kg
170kg - 12*B = 95 kg
170kg - 95kg = 12*B
75kg = 12*B
75kg/12 = B = 6.25kg.
Now we can replace this on the equation A = 34kg - 3*B to find the value of A.
A = 34kg -3*6.25kg = 15.25kg
(BRAINLIEST) and more in the description.
Confession: I suck at math lol........
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Answer:
33.8
Step-by-step explanation:
use long division
Answer:
33.8
Step-by-step explanation:
top in bottom out
5[tex]\sqrt{169\\}[/tex]
5 goes into 16 3 times therefore leaving you with 1. bring the 9 down next to the 1 and you have 19. 5 goes into 19 3 times so its 19-15=4 then you bring a zero next to the 4 and you get 40. 5 goes into 40 8times therefore leaving you with 33.8
Hoped this made sense :)
Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6
Answer:
CD=8
Step-by-step explanation:
CD=1/2 of ZX
1/2 of 16= 8
Hope this helps!
Please mark me brainliest if you can. :)
Help please
Rotation
Translation
Reflection
Simplify the expression:
(8-5)2.3-8=2
Answer:
6.9−8=2
Step-by-step explanation:
(8−5)2.3−8=2
Subtract 5 from 8 to get 3.
3×2.3−8=2
Multiply 3 and 2.3 to get 6.9.
6.9−8=2
Subtract 8 from 6.9 to get −1.1.
−1.1=2
Compare −1.1 and 2.
False
What is the value of h?
Answer:
in triangle
sin45=p/h
1/√2=8/h
h=8√2
Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.
The sum of three consecutive integers is 12 less than 4 times the middle integer
Answer:
[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]
Step-by-step explanation:
We can set up the following equation with the information given:
[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.
Solving, we get:
[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].
The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
What are integers?Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.
Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.
So if we have to form an equation for three consecutive numbers, it will,
(x-1), x, (x+1),
Now, according to the question,
(x-1) + x + (x+1) = 4x -12
Solve the equation,
3x = 4x -12
x = 12
Hence, first integer = 12 -1 = 11,
Second integer = 12,
Third integer = 12+1 = 13.
Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
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determine the promotional price of each item at each store
Answer:
Step-by-step explanation:
Original price of the music box = $80
Price after 20% discount = Original price - discount
= 80 - 20% of 80
= 80 - [tex](\frac{20}{100}\times 80)[/tex]
= 80 - 16
= $64
Price after 40% discount = 80 - 40% of $80
= 80 - 32
= $48
Original price of A faux Ming vase = $60
Price after 20% discount = Original price - discount
= 60 - 20% of $60
= 60 - 12
= $48
Price after 40% discount = Original price - discount
= 60 - 40% of 60
= 60 - 24
= $36
Good afternoon guys! Can anyone help me with this?
Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of 11487.
Step-by-step explanation:
The population of the town after x years is given by the following equation:
[tex]P(x) = 5000(1.181)^{0.1x}[/tex]
After 10 years, the population of the town will be of:
This is P(10). So
[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of:
This is P(50). So
[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]
After 50 years, the population of the town will be of 11487.
Y-4x=9 in standard form
Answer: y - 4x = 9 in standard form is -y + 4x = -9
Your bill at a restaurant is $28.50. You leave a 16% tip. What is your final bill?
A.$4.56
B.$33.06
C.$23.94
D.$44.50
Answer:
$ 33.06
Step-by-step explanation:
I Hope this helps :))))
define function. What are five representations of functions? Give an example of each.
Answer:
A function is a relationship between two variables, such that one variable is determined by the other variable.
A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.
Step-by-step explanation:
The function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
We need to define function.
What is a function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
Different types of a function:
The types of functions have been classified into the following four types.
Based on the set of elementsBased on equationBased on rangeBased on domainRepresentation of functions:
There are three different forms of representation of functions.
Venn Diagram: The Venn diagram is an important format for representing the function. The Venn diagrams are usually presented as two circles with arrows connecting the element in each of the circles. The domain is presented in one circle and the range values are presented in another circle. And the function defines the arrows, and how the arrows connect the different elements in the two circles.
Graphical Form: Functions are easy to understand if they are represented in the graphical form with the help of the coordinate axes. Representing the function in the graphical form helps us to understand the changing behaviour of the functions if the function is increasing or decreasing. The domain of the function - the x value is represented along the x-axis, and the range or the f(x) value of the function is plotted with respect to the y-axis.
Roster Form: Roster notation of a set is a simple mathematical representation of the set in mathematical form. The domain and range of the function are represented in flower brackets with the first element of a pair representing the domain and the second element representing the range.
Therefore, the function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
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Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.
plz help
Answer:
Explained below
Step-by-step explanation:
A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.
Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.
Now, for example let's consider the number 5.
It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c
Now, the opposite of these fractions like we are told to check in the question results in;
1/5; 2/10; 4/20; -1/-5;
The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.
difference between -20 and -17
Answer:
-3
Step-by-step explanation:
because it says difference and differences means subtract so -20-(-17)=-3
Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 page? *
Answer:
54 minutes
Step-by-step explanation:
Hope I helped!
I can almost guarantee this answer is correct.
Have a nice day!
Answer:
54 minutes
Step-by-step explanation:
Every 3 minutes she reads 1
18x3=54
Hope it helps
The median number of cars sold by 11 sales representatives in a certain month is 6. The range of number of cars
sold by those sales representatives that month is 4.
Determine if the following statement is true, is false, or does not contain enough information.
The fewest cars sold could be 0.
Choose 1 answers
True
False
Not enough information
Answer:
False
Step-by-step explanation:
Khan Academy
The given statement is False.
What is median?
'In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.'
According to the given problem,
Median = 6
Total count = 11
Range = 0
Now, range is the difference between the highest value and the lowest value.
Since, the median is 6, the highest number must be greater than 6. This would not have been possible if the lowest value was 0. If the lowest count had been 0, then the highest count had to be 4.
Hence, we can conclude, the fewest cars sold cannot be 0.
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What is the value of x?
O 100°
140°
O 120°
O 130°
O 150°
56°
34°
Mark this and retum
Save and Exit
Next
Submit
Answer:
ans will option 130 degree
The value of x in the given figure is 130 degrees.
What is the value of x?The first step is to determine the value of all of the angles in the quadrilateral.
First angle = 180 - 140 = 40 Second angle = 180 - 34 = 146Third angle = 180 - 56 = 124Fourth angle = 360 - (40 + 146 + 124) = 50Angle x = 180 - 50 = 130
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How to graph -2,-2
does it just go vertical or horizontal?
a greater number than -8
Can someone please answer
Hello!
We can graph by finding critical points - intersections, y-intercepts, x-intercepts.
Find the intersection point by setting the two equations equal to each other:
-4x + 3 = x - 2
Subtract x from both sides:
-5x + 3 = - 2
Subtract 3 from both sides:
-5x = -5
Divide both sides by -5:
-5x/(-5) = -5/(-5)
x = 1
Find the y-value of intersection by plugging in x = 1 into an equation:
y = 1 - 2 = -1
Intersection at (1, -1)
Find the x and y intercepts of each equation:
y = -4x + 3
Set x to 0 to find the y-intercept:
y = -4(0) + 3 = 3
Set y to 0 to find the x-intercept:
0 = -4x + 3
-3 = -4x
x = 3/4
Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).
y = x - 2
Set x to 0 to find the y-intercept:
y = 0 - 2 = -2
Set y to 0 to find the x-intercept:
0 = x - 2
x = 2
Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).
Graph the two equations with the solved critical points:
y = -4x + 3
--> (1, -1)
--> (0, 3)
--> (3/4, 0)
y = x - 2
--> (1, -1)
--> (0, -2)
--> (2, 0)
**Graphed below**
what is the equilvant expression 2^-2
Answertrkbjvncdmxs
nbjtrlkmg;e,'dmfnvhnjvlfkvmkj j nfcmkgtrj
Step-by-step explanation:
Which number is 1/10 the value of 600?
Answer:
60
Step-by-step explanation:
Simply multiply to find your answer:
Answer = 600 x 1/10
Simplify. Divide:
600 x 1/10 = 600/10 = 60
60 is your answer.
~
Answer:
[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]
you guys help me please
Answer:
i got the first one
plz help me rate me brainest
The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00
Answer:
0.015 or 1.5% tax
Step-by-step explanation:
90000x0.015 = 1350
need help asap please !!
Answer:
52
Step-by-step explanation:
2w - 78 = w - 26 ( being opposite sides of parallelogram)
2w - w = 78 - 26
w = 52
Hope it will help :)
Please I really need help on this one
Answer:
hope this hlp u
Step-by-step explanation:
the last one shows the radius
Answer:
figure 4 shows the radius
find the slope of a line parallel to the line through thepoints ) (10, 7) and (-4, 7)
Answer:
0
Step-by-step explanation:
7-7 over -4-10
That is 0/-14, which simplifies to 0
19 ≥ 3f+1 ≥5 pls help
Answer:
Hi...u should do like this
18>3f>4
6>f>4/3