x = -2
−12x−2(x+9)=5(x+4)
Use the distributive property to multiply −2 by x+9.
−12x−2x−18=5(x+4)
Combine −12x and −2x to get −14x.
−14x−18=5(x+4)
Use the distributive property to multiply 5 by x+4.
−14x−18=5x+20
Subtract 5x from both sides.
−14x−18−5x=20
Combine −14x and −5x to get −19x.
−19x−18=20
Add 18 to both sides.
−19x=20+18
Add 20 and 18 to get 38.
−19x=38
Divide both sides by −19.
x=
−19
38
Divide 38 by −19 to get −2.
x=−2
The required simplified value of x for the given equation is -2/19.
To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
-12x - 2(x + 9) = 5(x + 4)
-12x -2x - 18 = 5x + 20
-14x - 18 = 5x + 20
-14x - 5x = 20 - 18
-19x = 2
x = -2/19
Thus, the required simplified value of x for the given equations is -2/19.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?
Answer:
$1076.36
Step-by-step explanation:
The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by 0.0875($989.76)
which can be combined to obtain the total cost: (1.0875)($989.76) = $1076.36
IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!
Answer:
Step-by-step explanation:
kk
please anyone help asap
Answer:
Hi there! The correct answer should be: x is 60 degrees
Step-by-step explanation:
okay, so the equation is:
2x + 60 = 180
which we will solve:
2x + 60 - 60 = 180 - 60
2x = 120
x = 60
Feeling cool today, here’s a math riddle!
My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house?
Answer:
19 and 91
Step-by-step explanation:
The eight pair (81,18) and 63 is result. The ninth pair(91,19) and finally answer is "72". Here, we get the pair (91,19) in which we get 2 at unit place digit and 19 and 91 are the lowest possible numbers of hous
John receives a $20000 salary for working as an agent. If John has to spend $11000 of his salary on expenses each year, then what percent of John's money does he have to spend?
Answer:
55%
Step-by-step explanation:
Percent spent = (amount spent / total income) x 100
( $11000 / $20000) x 100 = 55%
Solve the inequality 2m+10 < 40
Answer:
m < 15
Step-by-step explanation:
2m+10 < 40
Subtract 10 from each side
2m+10-10 < 40-10
2m < 30
Divide by 2
2m/2 = < 30/2
m < 15
HELP PLEASE I HAVE TO TURN THIS IN IN 20 minutes!!!!!!!!
Answer:
well time has to be on the X-axis because it is an independent variable
as a distance will be dependent variable Y-axis
hey! i’ll give brainliest please help
Answer:
a mans car...
Step-by-step explanation:
a man's car breaks down while driving to work
because all the other ones are in their head
Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
I need help is it A B C or D
Answer fast please
1. A quadrilateral has one pair of parallel sides with lengths 2 inches and 3 inches, and two angles that each measure 42 degrees What is the shape of the quadrilateral?
Answer:
34
Step-by-step explanation:
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?
Answer: 3 quart
Step-by-step explanation:
Given
Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket
1 gallon can be written as 4 quart
So, 2 gallon can be written as 8 quart
Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added
[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]
So, 3 quart of water must be added to reach 2 gallon capacity.
NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?
Step-by-step explanation:
Write what you know
mean is: Sum of all data points / Number of data points
any unknown number we'll call x
so youd write
(x + $3191) / 2 = $4444
Solve for x
let me know if you need further help
Which expression will simplify (3a+6) (7a-2)
What is the domain of the function
y=x?
Answer:
the domain of y = x is all real numbers.
Todd bags fruit. He has
483 oranges, 822 apples,
199 pears, and 552
bananas. If he puts
8 pieces of fruit in each
bag, how many bags can
he make?
Answer:
60
Step-by-step explanation:
hope it helps!
Hi can some one please help me :)!
Answer:
Step-by-step explanation:
rational integer and real
it is rational because it is a perfect root of 2
it is a integer because every positive and negative numbers are integers.
graph (-5,0) (9,0) (8,-39)
Answer:
just plot the coordinates down on graph and then u'll have them graphed
Step-by-step explanation:
I don't know I'm too lazy 2 put an explanation
picture, will give brainliest if its correct!!
Answer: the answer is 100
Step-by-step explanation:
The ratio of boys to girls in the class is 3 to 4. If there were 12 boys, how many girls were there?
Answer:
Step-by-step explanation:
let girls be x
3/4=12/x(do cross multiplication)
12*4=3x
48/3=x
16=x
therefore there are 16 girls
Answer:
16 girls
Step-by-step explanation:
Set up a proportion. Let x = the number of girls.
3 / 4 = 12 / x
Cross multiply:
3x = 48
x = 16
In circle S with \text{m} \angle RUT= 30m∠RUT=30, find the \text{m} \angle RSTm∠RST.
Answer:
m∠RST= m RT= 60°
⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒
m RT=2 m∠ROT= 2 (30)=60°✎--------------
hope it helps...
have a great day!!
complete:
a 20% x ____ = $30
Answer:
20/100*x=$30
20x/100=$30
x/5=$30
x=$30*5
x=$150
Step-by-step explanation:
20 percent of 150 equals 30 so 150 times 20 percent would give you 30
Erica had $20 she spent on three gifts she spent 9 3/4 dollars on gift a and 4 1/2 dollars and gift b how much money did she have left for gift c
Answer:
$5.75
Step-by-step explanation:
20=9.75 + 4.5 + c
20-9.75-4.5=c
5.75=c
What is the solution of-+-<?
1 1 1
X35
Answer:
A. [tex]-\frac{15}{2} < x< 0[/tex]
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
Answer:
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
Step-by-step explanation:
Here is the complete question. Please find attached a diagram showing the scaled and real drawing
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long
C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long
D. side a is 175 inches long,side b is 150 inches long, and side c is inches long
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
The scaled drawing is an enlarged image of the original triangle.
It is enlarged at a ratio of 5:1
original dimensions
a = 35/5 = 7
b = 30 / 5 = 6
c = 15/5 = 3
help me plzz nowwwwww plzz
Answer:
18
Step-by-step explanation:
colored: white
3 :8
We have 48 white papers so multiply each side by 6
colored: white
3*6 : 8*6
18 48
There are 18 colored papers
Answer:
C) 18
Step-by-step explanation:
3/8 = c/48
cross-multiply to get:
8c = 144
c = 18
What is the simplified form of 4 X ? 3 + 7?
Answer:
4x(10)
Step-by-step explanation:
add 3+7=10
4x is multiplying 3+7=10
4x(10)
what is 9×4−(2×1/2)
(1/2 Is a fraction btw)
Answer:
35
Step-by-step explanation:
I used Symbolab here's the screenshot
I NEED THIS QUICK no links !!!!! (math)
answer: the answer is c
1. **Which of the foll byowing is equivalent to y4 x y^8?
A. y32
B. y4
C. 2y 12
d. y12
Answer:
SOLUTION[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]
Beacause of the property of exponent = [tex]a ^{b} \times {a}^{c} = a ^{b + c} [/tex]