Answer:
-1/18
Step-by-step explanation:
2/3n = -12
2 = -12 × 3n
2/-12 = 3n
-1/6 = 3n
or,
-1/6×3 = n
-1/18 = n
CHECK:
2/3n = -12
2/3(-1/18) = -12
2/(-1/6) = -12
2×6/-1 = -12
-12 = -12
n = -18 will make the equation true.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given the equation,
2/3n = -12
Multiply both sides by 3/2
(2/3) × (3/2)n = -12(3/2)
n = -6 × 3
n = -18
Hence "n = -18 will make the equation true".
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What’s the value of g(9)?
Answer:
-12
Step-by-step explanation:
Since we want to find g(9), we will use the function g(x):
[tex]g(x)=-2x+6[/tex]
Substitute:
[tex]g(9)=-2(9)+6[/tex]
Multiply:
[tex]g(9)=-18+6[/tex]
Add:
[tex]g(9)=-12[/tex]
So, our answer is -12 :)
a cube measuring 1 cm on each side, what is the volume, if the cube was dropped into 28ml of water. what would the new volume be?
Answer:
29 ml
Step-by-step explanation:
Vcube = 1cm×1cm×1cm = 1 cm³
1 cm³ = 1 ml
If this cube is dropped into a 28ml of water the new reading will be 29 ml.
hope this helped :)
PLEASE HELP I WOULD REALLY APPRECIATE IT...
Find the sum.
{-7b+8c}-{12a+14}+{5a+5b}
Answer:
-2b+8c-7a-14
Step-by-step explanation:
You first combine like terms to simplify.
Fandango has movie tickets on sale for 1\2 price. You buy 2 $12 tickets and you must pay 6% sales tax. What is your total cost after discount and taxes?
Answer:
$12.72 or $25.44
Step-by-step explanation:
if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question dosent specify that.
hope i helped
simplify the following expression.
[tex]14 - 24 \div 8 + 3 \times {4}^{2} [/tex]
Simplify the expression 15k+8(11-k)
Answer:
15k+88-8k
7k+88 is the solution
Answer:
Look below
Step-by-step explanation:
THe screenshot is proof
PLS ANSWER ASAP I WILL MAKE YOU BRAINLIEST ( Number 10.)
Answer:
x=160°
since the sum of angles of the shape measures 540°
by summing up the values, we have
3x=480 divide both sides by 3
x=160°
Answer:
160°I hope i am not too lateStep-by-step explanation:
[tex]Sum\:of\:angles\: = 540\\\\\frac{1}{2}x +\frac{1}{2} x +(x-15)+(x-25)+100=540\\\\=\frac{1}{2}x+\frac{1}{2}x+x-15+x-25+100=540\\\\Group\: like \:terms\\\frac{1}{2}x+\frac{1}{2}x+x+x-15-25+100=540\\\\Add\:similar\:elements \::\frac{1}{2}x+\frac{1}{2}x=2\times\frac{1}{2}x\\2\times\frac{1}{2}x+x+x-15-25+100=540\\\\Simplify\\x+2x-15-25+100=540\\Simplify\\3x +60 = 540\\\\3x = 540-60\\3x = 480\\Divide \:both\:sides\:of\:the\:equation \:by\:3\\\\\frac{3x}{3} = \frac{480}{3}\\ x =160[/tex]
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?
Answer:
[tex]f(g(1))=11[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(1)).
So, let's find g(1) first:
[tex]g(x)=-3x+5[/tex]
Substitute 1 for x:
[tex]g(1)=-3(1)+5[/tex]
Simplify:
[tex]g(1)=-3+5[/tex]
Add:
[tex]g(1)=2[/tex]
So:
[tex]f(g(1))=f(2)[/tex]
Now, substitute 2 for x in f(x):
[tex]f(x)=2x+7\\f(2)=2(2)+7[/tex]
Multiply:
[tex]f(2)=4+7[/tex]
Add:
[tex]f(2)=11[/tex]
So:
[tex]f(g(1))=11[/tex]
In Russel Elementary School there are 50 students. At the beginning of the year, each student planted three flowers in the school yard. During the year, eight flowers withered. Which of the following expressions represents the number of flowers that remained in the school yard? A. (3 × 50) – 8 B. (50 + 3) – 8 C. (50 × 8) – 3 D. (50 × 3) ÷ 8
Answer:
option A is correct answer
simplify 247+13 all the work please
Answer:
247+13=260
Step-by-step explanation:
Change from percent to decimal 30% ?
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
0.3
what is the DISTANCE
FORMULA?
if |x|=6 then x=-6 true or false
Answer:
false because it could be 6
Step-by-step explanation:
p2-16p+48=0 Please solve this math problem
Answer:
( p - 4 ) ( p - 12 ) = 0
Step-by-step explanation:
To factor this equation, let's apply the quadratic formula.
p^2 - 16p + 48 = 0
Let a = 1, b = -16, c = 48
[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)
[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)
= [ 16 +/- sqrt( 256 - 192) ] / 2
= [ 16 +/- sqrt(64) ] / 2
= [16 +/- 8] / 2
p = (16 + 8) / 2 ; p = (16 - 8) / 2
p = 24 / 2 ; p = 8 / 2
p = 12 ; p = 4
Hence, this equation factors into the following:
( p - 4 ) ( p - 12 ) = 0
Cheers.
What is the difference of 67.5 and 23.678
Answer:
43.822
Step-by-step explanation:
67.5
- 23.678
43.822
A cone and cylinder have the same height and their bases are congruent circles. If the volume of the cylinder is 120 cubic inches, what is the volume of the cone?
Answer:
Volume of cone = 40 in³
Step-by-step explanation:
Given:
Volume of cylinder = 120 in³
Height of cylinder = Height of cone
Radius of cylinder = Radius of cone
Find:
Volume of cone
Computation:
Volume of cylinder = πr²h = 120 in³
Volume of cone = (1/3)πr²h
So,
Volume of cone = (1/3)(120)
Volume of cone = 40 in³
Please hell will give branilest to the firstanswer s
Answer:
[tex]x=13[/tex]
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width.
We know that the perimeter is 80. Looking at the rectangle, we can also see that the length is 2x+3 while the width is x-2. Thus, make the substitutions:
[tex]P=2l+2w\\80=2(2x+3)+2(x-2)[/tex]
Distribute:
[tex]80=4x+6+2x-4[/tex]
Combine like terms and add:
[tex]80=6x+2[/tex]
Subtract 2 from both sides:
[tex]78=6x[/tex]
Divide both side by 6:
[tex]x=13[/tex]
Thus, the value of x is 13.
Answer:
x=39
Step-by-step explanation:
1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2+5y+1
Step-by-step explanation:
1+x^2-3+2y+7x^2+3+3y
Combine like terms
x^2+7x^2+2y+3y+3+1-3
8x^2+5y+1
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
Given:ST=3x=3 and TU=2x=9 what is the value of ST
Answer:(x+3)2 4+4=( x+3)2=4
Step-by-step explanation:
a store is having a sale on almonds and jellybeans for 2 pounds of almonds and 3 pounds of jellybeans the total cost is $15 for 6 pounds of almonds and 5 pounds of jellybeans total total cost is $35 find the cost of each pound of almonds and each pound of jellybeans
Answer:
$5.50 + $10.50 = $16
Step-by-step explanation:
6a + 5b = $34
2a + 3b = $16
...Solving by elimination
6a + 5b = 34
-3(2a + 3b = 16)
-4b = -14
b = 14/4 0r $3.50, cost of each pound of jelly beans.
a,cost of each pound of almonds = $2.75 %2816-+3%283.50%29%29%2F2+=+2.75
...checking Using:
2a + 3b = $16
$5.50 + $10.50 = $16
Solve for x if 6(X + 3) = 36 *
Answer:
6( X + 3 ) = 36
6X + 18 = 36
6X = 36 - 18
X = 18 ÷ 6
X = 3
Thus, the value of X is 3.
Hope it helps,
Thank You.
Answer:
Step-by-step explanation:
6x +18=36
6x+18-18=36-18
6x=18
6x divide by 6 =18 divide 6
x=3
hope this helps please mark brainliest
What is another word for evaluate?
Answer:
another word for evaluate is solve
Answer:
Evaluate --> find a numerical expression or equivalent for (an equation, formula, or function).
Also evaluate means checking ( for a teacher )
Find the prime factors of 60 by dividing by prime numbers.
Let's start with the smallest prime number 2
60/2 = 30
Divide that result over 2
30/2 = 15
We can't divide this by 2 because 15/2 = 7.5 isn't a whole number
Let's move onto 3
15/3 = 5
The result is a prime number, so we stop.
The values we divided as denominators were: {2, 2, 3}
We add the result 5 to the set to completely list all of the prime factors of 60
The prime factorization would be
60 = 2*2*3*5which is the same as saying
60 = 2^2*3*5What is the product?
5
-2
-6
2
Answer:
-3
4
Step-by-step explanation:
We do across times down
5*-1 + -2 *-1 = -5+2 = -3
-6 *-1 + 2 * -1 = 6 -2 = 4
Determine if the sequence shown below is arithmetic or geometric.
1, 8, 15, 22, 29...
Answer:
it is arithmetic
Step-by-step explanation:
moves up by 7
solve the product of : 0.017 and 10
(( TYPE the STEPS you used to set up the problem and type your steps to solve. )) THANK YOU!!
The product of any two numbers is the result of multiplying them
You can use pencil and paper to get the job done, or use a calculator.
A shortcut is to simply move the decimal over 1 spot to the right.
This is because multiplying 0.017 and 10 is the same as 0.017*10^1, where the exponent of positive 1 means "move decimal point 1 spot to the right". This only works if you multiply by powers of 10.
Answer: 0.17Which sequence describes the inverse operations used
for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the
division property of equality
O the addition property of equality and then the
multiplication property of equality
O the subtraction property of equality and then the
division property of equality
the subtraction property of equality and then the
multiplication property of equality
Answer:
A) the addition property of equality and then the division property of equality
Step-by-step explanation:
I just did it hope this helps! :)
The addition property of equality and then the division property of equality is the sequence which describes the inverse operations used
for steps 2 and 3 to solve the linear equation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given Linear equation is -1/2 (6x + 10) = 13
Minus one by two times of six x plus ten equal to thirteen
Step 1: –3x – 5 = 13
By addition property we add +5 on both the sides
Step 2: –3x = 18
By division property we divide both sides by -3
Step 3: x = –6
Hence, the addition property of equality and then the division property of equality is the sequence which describes the inverse operations used
for steps 2 and 3 to solve the linear equation
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write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.
Answer:
work shown and pictured
When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michele come to about the linear function with the smallest slope?
Answer:
The linear function with the smallest slope must be multiple of one of the other two linear functions if all functions are coplanar. Otherwise, they intersect at the given point in space.
Step-by-step explanation:
A system of two linear functions with two variables have an unique solution on a given plane, as there are three linear function, it means that linear function with the smallest slope must be multiple of one of the other two linear functions.
But, if those functions are not all coplanar and have 3 variables, they intersect at the given point.
A study of the effect on the human digestive system of potato chips made
with a fat substitute
Answer:
Perform an experiment
Step-by-step explanation:
The experiments state that it is the test which is to be carried to confirm or refute the hypotheses they had about a specific subject. Therefore, the study findings will be based on the outcome of these experiments.
Now, according to the given situation, an analysis of the impact of potato chips on the human digestive system with fat replacement is refer to perform an experiment.
So, the right answer is to perform an experiment.