Simplify and solve this equation: 4m + 9 + 5m – 12 = 42.A. m = -4
B. m = 4
C. m = –5
D. m = 5
Answers
Given the equation combine all similar terms found on a side of the equation.
You can add the "m" and get: 9m + 9 – 12 = 42
You can combine the 9 and the -12 and get: 9m - 3 = 42
Toget the "m" alone add or subtract any number necessary from the leftside so the number is 0, and do the same to the right: 9m - 3 + 3 = 42 +3, leaving you: 9m = 45
Divide each side by the number of "m" you have: (9m)/9 = 45/9 which simplifies to m=5.
The solution of expression 4m + 9 + 5m - 12 = 42 by combining like terms is,
⇒ m = 5
Given that,
A mathematical expression is,
⇒ 4m + 9 + 5m - 12 = 42
Now, simplify the expression by combining like terms and solve for m as,
⇒ 4m + 9 + 5m - 12 = 42
Combine like terms,
⇒ 9m - 3 = 42
Add 3 on both sides,
⇒ 9m = 42 + 3
⇒ 9m = 45
Divide by 9 on both sides,
⇒ m = 45/9
⇒ m = 5
So, the solution is,
⇒ m = 5
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The midpoint of HX:
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Answers
Answer:
20 Units
Step-by-step explanation:
RS plus ST equals RT.
Take this visual:
_____/_______________
R S T
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Using the segment addition postulate, we can tell RS+ST=RT
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Hope this helps :-)
1. y = 2x
y=2x+1
2 . x =5
y = -4
3. y = x+6
y -6 =x
4 . y= 3x+ 4
y =3
Answers
2.
3.
4.
The answer is 2 and 4.
0.36
1.98
2.63
Answers
Answer:
Option 3rd is correct
1.98
Step-by-step explanation:
Using the formula:
where,
X is the sample mean, is the mean,
is the standard deviation and n is the sample size.
As per the statement:
Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93.5
⇒X = 93.5, n = 2 , and
Substitute these given values to calculate z;
Therefore, the z-statistic for the given data is, 1.98
Answer:
C. 1.98 on edu
Step-by-step explanation:
1) The substitution method. This method is best utilized when one of the variables in one of the equations has a coefficient of 1 or -1, otherwise you will introduce fractions. Substitution can also be used for nonlinear systems of equations.
(2) Linear combinations also called the elimination method, multiplication and addition method, etc... My personal favorite as it can be done efficiently. It generalizes well to larger systems and is the underpinning of various other solution methods.
As the name implies it requires the equations to be linear.
You need to know both and be comfortable switching between them.
Can we get one for the elimination method too?
Also, can you solve the same problem using either of the two techniques?
Answers
x - y = 1
x + y = 5
You can solve the same problem using either technique, as far the equations are linear equations.
. The variable costs will be
$10.50
per book. The publisher will sell the finished product to bookstores at a price of
$25.25
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answers
so 10.5 per book
but -25.25 per book (since this is a negative cost or a gain)
so lets say they sell 1 book
it cost 10.5 and they gain 25.25 so they gain 14.75 total per book
so 14.75 times x books=60239
divide both sdies by 14.75
x=60239/14.75
then divide 60239 by 14.75 and get x=4084
they will need to sell 4084 books
the cost of the books = 60.239 + (10.50 X)
the sale amount = 25.25 * X
so 60.239 + 10.5 X = 25.25 X
60.239 = (25.25 - 10.5)X
60.239 = 14.75 X
X = 60.239 / 14.75
So X = 4.084
so the publisher needs to sell 4 books