Answer:
[tex]a=\dfrac{3b-7}{3}[/tex]
Step-by-step explanation:
Given that,
The given equation is :
5b + 6a – 7 = 2b + 9a
We need to solve the above equation for a. Taking he terms having a and b in LHS and constants in RHS.
5b+6a-2b-9a=7
taking like terms together
(6a-9a)+(5b-2b)=7
-3a+3b=7
Subtracting both sides by 3b. So,
-3a+3b-3b=7-3b
-3a=7-3b
Dioviding both sides by (-3). So,
[tex]a=\dfrac{7-3b}{-3}\\\\a=\dfrac{3b-7}{3}[/tex]
Hence, the value of a is [tex]a=\dfrac{3b-7}{3}[/tex].
Answer:
[tex]a = \frac{3b-7}{3}[/tex]
Step-by-step explanation:
Which of the following describe 86? Select all that apply.
whole number
irrational number
integer
rational number
Answer:
A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers. ... Irrational, then, just means all the numbers that aren't rational.
Step-by-step explanation:
A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers. ... Irrational, then, just means all the numbers that aren't rational.
X+32=124
HELP ME PLEASE ILL MARK BRAINLIEST.
Answer:
92
Step-by-step explanation:
What is the next number in the sequence: 3, 9, 21, 45, 93,...?
Answer:
189 is the next number bacause we multiply 3+3+3=9 now, 9+9+3=21, again ,21+21+3=45 ,again 45+45+3, therefore we observed that this number add itself and its last add 3 so, 93+93+3=189
The next term will be of the sequence is 189.
What is sequence ?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
According to the question
The sequence: 3, 9, 21, 45, 93,
Next term be x
The sequence: 3, 9, 21, 45, 93, x
Difference : 6 12 24 48
as we can see that
every difference is difference of previous terms *2
i.e
6*2 = 12
12*2 = 24
24*2 = 48
48*2 = 96
Therefore ,
The sequence: 3, 9, 21, 45, 93, x
Difference : 6 12 24 48 96
i.e
x = 96 + 93
x = 189
Hence , the next term will be of the sequence is 189.
To know more about sequence here:
https://brainly.com/question/21961097
#SPJ3
To convert from feet to inches, we multiply by 12. For example, the number of inches in 2 feet is 12(2) inches.
If one board has length of (x+3) feet and a second board had a length of (2x-3) inches, express their total length in inches as an algebraic expression
Answer:
L = (14x+33) inches.
Step-by-step explanation:
We know that,
1 feet = 12 inches
For example,
2 feet = 12(2) inches
Now, the length of one board is (x+3) feet
The length of second board is (2x-3) inches
We can convert length into inches as follows :
l = (x+3) feet
l= (x+3)(12) inches
l = 12x+36 inches
It means, total length,
L = 12x+36 inches + (2x-3) inches
L = (14x+33) inches.
Which ratio is equivalent to 3:7 is it 6:7, 3:21, 24:56, or 15:30
Answer:
24:56 is equivalent to 3:7
Step-by-step explanation:
All you have to do is divide 24:56 by 8.
1. 24 ÷ 8 = 3
2. 56 ÷ 8 = 7
And there you go = 3:7
Which exponential expressions are equivalent?
Answer:
The answer is D and B
Step-by-step explanation:
If you have 9/10 of a pound of granola how many 1/5 pound bags can you fill ?
Answer:
4
Step-by-step explanation:
1/5 is the same as 2/10. How many 2's can you put in 9? You can put 4.5 2's in a 9. However, filling half a bag does not fill the entire bag, so the answer would be 4. You can fill 4 full 1/5 pound bags with 9/10 pounds of granola.
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
I think it's ABD and DBC!
Step-by-step explanation:
I looked up complementary angles and it said "Two angles are called complementary when their measures add to 90 degrees." and it looks like those 2 would be it!
Simplify 2a+14-4a-7+8a
Answer: 2a+14-4a-7+8a = 6a+7
If I Helped, Please Mark My Answer As Brainliest, Have A Great Day :D
a round mirror has a circumference of 87.92 inches. calculate the area of the mirror. use 3.14 for pi. round answers to the nearest hundreth if necessary
Answer:
615.44 in²
Step-by-step explanation:
Use the circumference formula, C = 2[tex]\pi[/tex]r
Plug in the circumference and pi to solve for the radius, r:
C = 2[tex]\pi[/tex]r
87.92 = 2(3.14)r
87.92 = 6.28r
14 = r
Then, use the area formula, A = [tex]\pi[/tex]r²
A = 3.14(14)²
A = 615.44 in²
So, the area of the mirror is 615.44 in²
Round the following numbers as indicated: a) To four sig. figs.: 1. 21.860051 = 2. 5.687524 3. 112.511 b) To two sig figs: 1. 79.2588 2. 3.4125 3. 41.86632
Step-by-step explanation:
21.86
112.5
79.3
3.41
41.9
25 POINTS 2 MATH QUESTIONS NEED HELP ASAP
Answer:
it was b
Step-by-step explanation:
which of the following represents a line with an undefined slope y=5 x=5. y=5x y=x+5
Answer:
B. x = 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
A. has a slope.
y = 0x + 5
m = 0
B. has an undefined slope
x = 5
m = undef
C. has a slope.
y = 5x
m = 5
D. has a slope.
y = x + 5
m = 1
There is only one copying machine in the student lounge of the business school. Students arrive at the rate of = 40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds (according to an exponential distribution). What is the percentage of the time that the machine is used?
Answer:
1
Step-by-step explanation:
Given the following :
Rate of arrival = 40 ( poisson distribution)
Average copying time = 40 seconds (according to an exponential distribution)
Number of machines available = 1
Percentage of time machine is used is Hence ;
Rate of arrival / (Average copying time × number of machines)
40 / (40 × 1)
= 40 / 40
= 1
What is the value of x in the equation below?
-3-(-8)-(-2)= X
0 - 13
og
o 3
o
Answer:
g= −6/13o5
Step-by-step explanation:
Let's solve for g.
−3−(−8)−(−2)=x0−13ogo3o
Step 1: Flip the equation.
−13go5+1=7
Step 2: Add -1 to both sides.
−13go5+1+−1=7+−1
−13go5=6
Step 3: Divide both sides by -13o^5.
−13go5
−13o5
=6−13o5
g=−6/13o5
Chase was asked to simplify the expression (-3) ^ 4 * (-3) ^ 9 equals is shown was work below do you agree or disagree with Chase's War explain your reasoning chases work (-3) to the power of 4 * (-3) ^ 9 equals (-3) ^ 36
Answer:
Step-by-step explanation:
Given the expression chase was asked to simplify as [tex](-3) ^ 4 * (-3) ^ 9[/tex], lets first solve and compare our solution with chases's
Using the law of indices [tex](a) ^ m * (a) ^ n = a^{m+n}[/tex]
[tex]= (-3) ^ 4 * (-3) ^ 9 \\\\= (-3)^{4+9}\\\\= (-3)^{13}[/tex]
Chases reasoning is wrong according to his answer [tex](-3) ^ 4 * (-3) ^ 9 = (-3)^ {36}[/tex]. What chase's did was to multiply the power of -3 together instead of adding. In indices when the bases are equal and we are multiplying, the powers of the bases will be added not multiplies=d as chase's did.
If granola costs $2.40 per pound, how much does 0.9 pound of granola cost? (please give an explanation on how to find it)
6(m-1) = 3(3m + 2) Show all work
Answer:
[tex] \boxed{\sf m = -4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4[/tex]
GiveN:
6(m - 1) = 3(3m + 2)What to do?
We have to solve for m[tex].[/tex]Solution:
The equation has only one variable i.e. m. For finding m we need to isolate it any one side of the equation. Before that, let's expand the parentheses,
⇒ 6(m - 1) = 3(3m + 2)
⇒ 6m - 6 = 9m + 6
Now moving m to the left hand side and constant terms to the right hand side,
⇒ 6m - 9m = 6 + 6
⇒ -3m = 12
Dividing the Equation by -3,
⇒ m = 12 / -3
⇒ m = -4
Thus, the required value of m is -4.
How many miles are equivalent to 800 meters? Round answer to the nearest hundredth
Answer:
The table shows conversions of common units of length.
Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
How many miles are equivalent to 800 meters? Round answer to the nearest hundredth.
0.50 miles
1.29 miles
2.62 miles
4.97 miles
Question 3 12.5 pts In a circle, the coordinates of the endpoints of a diameter are (4, 5) and (10, 1). Find the coordinates of the center of the circle. center of the circle : (x, y) =(
how many paper square with an area of 40 cm² will be needed to form a square with an area of 4 m²?
Answer:No. of paper square = 4 m^2/ 40 cm^2
= 40000cm^2 /40 cm^
= 1000 paper squares.
Thanks.
Step-by-step explanation:
Select the perfect square trinomial from among the options below.
Question 11 options:
A)
x2 + 4x – 4
B)
x2 – 12x + 36
C)
x2 – 2x – 3
D)
x2 + 10x + 20
Answer:
D
Step-by-step explanation:
A Chinese restaurant has the family special shown at right. What is the original average cost of the entrees if the discount is 52 per entree? ANY FOUR ENTREES FOR $20
This question was not written properly
Complete Question
A Chinese restaurant has the family special shown at right. What is the original average cost of the entrees if the discount is $2 per entree? ANY FOUR ENTREES FOR $20
Answer:
$7
Step-by-step explanation:
From the question we are told that :
Any 4 entrees = $20,
And there is a discount of $2 per entree.
Let us represent the original average cost of entrees as = a
Hence, we have the algebraic expression
4(a - 2) = 20
4a - 8 = 20
4a = 20 + 8
4a = 28
Divide both sides by 4
4a/4 = 28/4
a = 7
Therefore, the original average cost of the entrees if the discount is $2 per entree is $7.
What scale factor leaves the image
unchanged?
HELP MEEE PLZZZ
Answer:
Scale factor of 1
Step-by-step explanation:
A scale factor is a number in which the length of every segment of an original figure is multiplied by to get a new figure similar to it.
A scale factor that is less than 1 would give us a new figure that is reduced and smaller than the original figure. On the other hand, if the scale factor is greater than 1, the new figure would be an enlargement if the original figure.
However, a scale factor = 1 will give us a figure that is congruent to the original figure. No enlargement or reduction in the original size. The figure it image remains the same.
I NEED A EXPLAINATION
Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation.
-1.79, 2, 2.54, - 4
2.54,2,-1.79,-4
Step-by-step explanation:
gretest is 2.54 because 2.54 is nearer to 3so it is greatest. then 2 is smaller than 2.54 and then -1.74 and -4 because the number which is greater in negative is the most smallest number.
for , another example -1 is greater than-100.
please follow me
There are four girls, and four apples in a basket. Each girl took one apple, however, there was still one apple left in the basket. How is that possible?
Answer:
One girl took the basket.
She took the last apple
while it was in the basket.
Step-by-step explanation:
To get ready for a field trip, students and adults were put into groups. For every 8 students in a group, there were 3 adults. In total, in all the groups, there were 48 students. How many adults were also on the field trip?
Answer:
18!
Step-by-step explanation:
Divide the number of students (48) by 8 to find the number of groups and get 6 if there are 6 groups of 8 and 3 adults with every 8 students then multiply 6 by 3 and receive an 18!!
Hope this helped! Let me know if you are confused at all!
Find the sum of the series.
[infinity] ln(1 − 1/n2) n = 2
Answer:
The sum is -1/2
Step-by-step explanation:
Your question is not too clear to me but if I reframe it, it will turn to this;
Find the sum of In{1 - (1/n^2)} for n >= 2
£n>=2 = In{1 - (1/2^2)} + In{1 - (1/3^2)} + In{1 - (1/4^2)} + ......
£n>=2 = In{1 - (1/4)} + In{1 - (1/9)} + In{1 - (1/16)}
£n>=2 = In(3/4) + In(8/9) + In(15/16)
£n>=2 = -0.287 + -0.117 + -.064 = −0.468
£n>=2 = -0.5 by approximation
£n>=2 = -1/2 is the sum and by evaluation it converge.
a x a x a = 8 a x b x b x b = 54 a x b x c x c = 6 c + a x b = ? PLS HELP
Answer:
a³ = 8ab³ = 54abc² = 6abc = ? what exactly are you looking for?
Step-by-step explanation:
2. You want to express 437.000 in scientific notation. What is the
a. To change the number to scientific notation, move the
decimal point
places to the
Answer:
537.000
Step-by-step explanation:
To change the number to scientific notation, move the
decimal point
places
