Answer:
62
Step-by-step explanation:
Plug in the value of a in the equation:
12(4) - 6 + 7(4) - 2(4)
Solve 12(4) - 6:
12(4) - 6 = 48 - 6 = 42
Solve 7(4) - 2(4):
7(4) - 2(4) = 28 - 8 = 20
Combine both answers (42+20):
42+20 = 62
Complete answer:
12(4) - 6 + 7(4) - 2(4) = 62
factorise completely.
21a²+28ab
The complete factorization of 21a² + 28ab is 7a(3a + 4b)
Factorization is an arithmetic operation used in resolving an expression into factors in which when the factors are being multiplied together, the original expression can be derived. They produce factors that can be divided into the original expression.
Given that:
= 21a² + 28ab
here, we will look for a factor that if divide in both 21 and 28, there won't be any remainder. The factor is 7;
So, we have:
= 7(3a² + 4ab)
= 7a(3a + 4b)
Therefore, the complete factorization of 21a² + 28ab is 7a(3a + 4b)
Learn more about factorization here:
https://brainly.com/question/14067703?referrer=searchResults
• She used a coupon for $3.00 off the total price of the items she
This expression can be used to determine the price of the items Nakit
(2(3.50 -0.80) + 4.85 + 2.40) – 3.00
What is the price of the items Nakita bought?
A $6.95
B $10.45
C $9.65
D $12.65
find the area of a rectangle that has a length of 8 inches and a width of 9 inches
Answer:
72in
Step-by-step explanation:
area=length x width
a=8x9
State the domain and range and determine if its a function
Answer:
The first element of a set which is linked with the element of second set is called domain.
The element of second set is known as range.
Answer:
When functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. These won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. Small sets of points are generally the simplest sorts of relations, so your book starts with those.
for example
State the domain and range of the following relation. Is the relation a function? {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}
The above list of points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values. To give the domain and the range, I just list the values without duplication:
domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
(It is customary to list these values in numerical order, but it is not required. Sets are called "unordered lists", so you can list the numbers in any order you feel like. Just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)
While the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). Since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.
Jason charges $18 plus $4 per hour to mow lawns. Andrew charges $7 per hour with a $12 dollar up front cost. In what situation does Jason charge more than Andrew.
Find the perimeter of a regular octagon if one of its sides is x + 6 and another side is 14 – x.
Answer:
80 units
Step-by-step explanation:
The sides of a regular octagon are all the same length.
x +6 = 14 -x
2x = 8 . . . . . . add x-6
x = 4
x+6 = 10 . . . . the length of each of the 8 sides
P = 8s = 8(10) = 80
The perimeter of the octagon is 80 units.
-28 (-13)
Can someone please?
4. Between which two whole
numbers does V150 lie?
Answer:
12 & 13
Step-by-step explanation:
trust me
Find the difference. (3 • 1,000) - (2• 100)
The value of ( 3 x 1,000 ) - ( 2 x 100 ) is 2,800.
Here,
Given that, ( 3 x 1,000 ) - ( 2 x 100 )
What is subtraction of two number?
Subtraction is the operation of taking the difference of two numbers.
Now,
Firstly the value of 3 x 1000 = 3000
And, 2 x 100 = 200
⇒ 3000 - 200 = 2800
Hence, The value of ( 3 x 1,000 ) - ( 2 x 100 ) is 2,800.
Learn more about the subtraction visit:
https://brainly.in/question/12241794
#SPJ2
Find the value of x in the proportion 8/9 = x/36
-8 1/6 into decimal form
Answer:
-7.83333333333
Explanation:
Convert -8 1/6 into an improper fraction-8 1/6: -47 / 6To turn a fraction into a decimal divide the numerator by the denominator
-47 ÷ 6
= -7.83333333333
Order from least to greatest 1 1/4, 1 2/3, 11/12
Help please, quick!
Answer:
[tex]\frac{11}{12}[/tex],[tex]1\frac{1}{4}[/tex],[tex]1\frac{2}{3}[/tex]
Step-by-step explanation:
It wants you to take these 3 fractions and arrange them from least to greatest.
The first thing I did was look for the fraction with no number in front of it.
[tex]\frac{11}{12}[/tex] is the only fraction that has no numbers in front of it. So
The second thing I did was look for the fraction that had the biggest number in front of it. I see that the remaining fractions have the same number in front.
So, I drew 2 circles. 1 of the circles I shaded in and the other I split into 4 equal halves. I shaded in one of the halves. These 2 circles represent [tex]1\frac{1}{4}[/tex].
The next thing I did was draw 2 more circles. I shaded in one of them and slit the other one into 3 equal halves. I shaded in 2 of the halves. These 2 circles represent [tex]1\frac{2}{3}[/tex].
Last, look at the 4 circles and ask yourself which one is the most shaded in. If you said [tex]1\frac{2}{3}[/tex] you are correct. This fraction is the biggest. Meaning that [tex]1\frac{1}{4}[/tex] is in the middle.
Rita's class has 14 girls and 16 boys. How does the ratio 14 : 30 describe Rita's class?
Answer:
14: 16 is the ratio of girls to boys
And the ratio 14:30 is the ratio of girls to the total of students
Step-by-step explanation:
302 + 299 + 296 + 293 ... + 2 = _____ what is the sequence using Gauss’s Law
By Gauss's Law the approach of solving sum of a sequence of n terms in arithmetic progression is :
[tex]S_n=\dfrac{n}{2}(a_1+a_n)[/tex] ......1 )
Here, [tex]a_n = 302[/tex] , [tex]a_1=2[/tex] .
We know :
[tex]a_n=a_1+(n-1)d\\\\302=2+3(n-1)\\\\n = 101[/tex]
Putting, all values in equation 1) we get :
[tex]S_n=\dfrac{101}{2}\times (2+302)\\\\S_n=101\times 152\\\\S_n=15352[/tex]
Therefore, the sum of sequence using Gauss's Law is 15352.
Hence, this is the required solution.
A 9-pack of markers costs $6.21. What is the unit price?
Answer:
1.449275362
Step-by-step explanation:
Answer:
$0.69
Step-by-step explanation:
Step 1:
$6.21 ÷ 9
Answer:
$0.69
Hope This Helps :)
solve this equation x−117=317
The answer is 434 !!
You can also solve this by doing 317-117= ?
Answer:
434
Step-by-step explanation:
Solve for x.
3(-4x-1)-2x+4=43
Please help I’m crying my eyes out I hate delta math
Answer:
x = - 3Step-by-step explanation:
3 (-4 x - 1) - 2 x + 4 = 43
Expand the terms in the bracket
That's
- 12x - 3 - 2x + 4 = 43
- 14x + 1 = 43
Using the subtraction property subtract 1 from each side of the equation
- 14x + 1 - 1 = 43 - 1
- 14x = 42
Divide both sides by - 14
[tex] \frac{ - 14x}{ - 14} = - \frac{42}{14} [/tex]
We have the final answer as
x = - 3Hope this helps you
Chin researched the body weight, in pounds, of professional football players. He created a table of different sample means from his data. Sample Sample Mean (pounds) 1 240 2 236 3 245 4 243 5 238 6 242 Which statements are true? Select three choices. The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245. The actual population mean is greater than 245. The population mean is the average of the sample means.
Answer:
The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245.Step-by-step explanation:
Sample data
1 2 3 4 5 6240 236 245 243 238 242Mean = sum of sample data/sample frequency
(240+236+245+243+238+242)/6 = 240.67Answer choices:
The variation in the sample means makes it possible to make predictions about the population mean.
Correct.The actual population mean is greater than 236.
Correct. 240.67 > 236The actual population mean is less than 245.
Correct. 240.67 < 245The actual population mean is greater than 245
Incorrect.The population mean is the average of the sample means.
Incorrect.Answer:
It is numbers 1, 2, and 3!
Step-by-step explanation:
What is 1+6 idk know what is it I need help
A five-pound bag of flour costs $2.90 and holds 10 cups. How much will
it cost for two-and-one-quarter cups of flour?
Answer:
65 cents
Step-by-step explanation:
divide 10 by 2.25 to get the factor. Next divide 2.9 by that to get your answer. 10/2.25 = 4 4/9. 2.9/ 4 4/9 = 0.6525 --> 0.65
If a 48-gram serving of pasta contains 6 g of protein, how many grams of protein are in a 908-gram box of the pasta?
Answer:
i believe the answer is 114g of protein. i hope this helps
Step-by-step explanation:
Add parentheses to the equation below so that x = 90. 3 + 2^2 /4 - 10 = x
Answer:
(3+2)²*4-10=x
Step-by-step explanation:
If it was a typo and is actually times 4, not divided by 4, then here is the answer:
(3+2)²*4-10=x
5²*4-10=x
25*4-10=x
100-10=x
90=x
If it actually was divided by 4, I don’t see any way it can be done.
Answer:
B
Step-by-step explanation:
(3+2)²*4-10=x
Evaluate the expression if w=−2. |4w+3|
Answer:
5Step-by-step explanation:
[tex]|4w+3|\\w =-2\\[/tex]
Substitute ; w= -2 into the given equation
[tex]|4(-2)+3|\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=\left|-4\cdot \:2+3\right|\\\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=\left|-8+3\right|\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-8+3=-5\\=\left|-5\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\[/tex]
HHEELLPP ME PLEASE
1/2x + 1/3y = 3
Which of the following equations is equivalent to the given equation?
A. 3x + 2y = 3
B. 2x + 3y = 18
C. 3x + 2y = 18
need help asap please and thanks!
Answer:
3 to 1
Step-by-step explanation:
Because the 6 is the bigger number but is also on the left which means the number on the right has to divide into the six therefore 3 to 1
WILL AWARD BRAINLIEST. How many gallons of water fill a tank that is 16.5 ft long, 7.5 ft wide, and 8 ft high? Assume 1 ft3 is 7.5 gallons of water.
Answer:
7,425 gallons of water
Step-by-step explanation:
Given:
A tank of,
Length = 16.5 ft
Width = 7.5 ft
Height = 8 ft
1 ft³ = 7.5 gallons of water
Required:
Gallons of water that will fill the tank
SOLUTION:
Find the volume of the tank:
Volume of the tank = length*width*height
Volume = 16.5*7.5*8 = 990 ft³
Convert 990 ft³ to gallons of water:
1 ft³ = 7.5 gallons
990 ft³ = [tex] 990*7.5 [/tex]
= 7,425 gallons of water
7,425 gallons of water will fill the tank of the given measurement.
Amount of water in tank is 7,425 gallon
Volume base question:Given that;
Sides of tank = 16.5 ft, 7.5 ft, 8 ft
1 ft³ = 7.5 gallon
Find:
Amount of water in tank
Computation:
Volume of tank = [(16.5)(7.5)(8)]
Volume of tank = 990 ft³
Amount of water in tank = [Volume of tank][7.5]
Amount of water in tank = [990][7.5]
Amount of water in tank = 7,425 gallon
Find out more information about 'Volume'.
https://brainly.com/question/1578538?referrer=searchResults
Help what is the value of X
A student looking at global population figures remarks that between the years 1950 and 2010 the global population can be modelled by the equation 300y= 23t−44 180 (1950≤t≤2010),
Write down the gradient of the straight line represented by the equation 300y= 23t−44 180 (1950≤t≤2010)
What does this represent in the practical situation being modelled?
Answer:
The equation is (i guess):
300*y = 23*t -41,180
This is a linear equation, where y represents the population, and t represents time (in years)
Now, to find the gradient, we must derive the function y with respect to the time.
then we can write:
y = (23/300)*t - (41,180)/300.
now, remember that when we have:
y = a*x^n
we also have:
dy/dx = n*a*x^(n-1)
then in this case, we have:
dy/dt = (23/300) + 0
now we pass aain the 300 to the right:
300*dy/dt = 23.
d(300*y)/dt = 23
what does this mean?
Thie mean that for each unit of that t increases, we have an increase of 23 units in 300*y.
A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day. On day zero the population consists of five members. Find the population size after eight days. Step 1 Since the relative growth rate is 0.4142, then the differential equation that models this growth is dP dt
Given :
A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day.
On day zero the population consists of five members.
Differential equation : [tex]\dfrac{dP}{dt}=0.4142P[/tex]
To Find :
The population size after eight days.
Solution :
Rate of growth , R = 0.4142 .
Now ,
Differential equation is :
[tex]\dfrac{dP}{dt}=0.4142P\\\\P_n=Ce^{0.4142n}[/tex]
For n = 0 .
[tex]5=C(1)\\C=5[/tex]
So ,the relation is [tex]P_n=5e^{0.4142n}[/tex] .
Putting n = 8 .
[tex]P_8=5e^{0.4142\times 8}\\\\P_8=137.42[/tex]
Hence , this is the required solution .
What is the solution to this equation?
–14x = 70
A.x = –5
B.x = 5
C.x = 84
D.x = –84
Answer:
x = − 5
Step-by-step explanation:
Divide each term by − 14 and simplify.
Answer: x =5
Step-by-step explanation:
14x/14= 70/14
X = 5