Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
Lla must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Lla's parents allow her to work a maximum of 15 hours per week overall. Lla's goal is to earn at least $120 per week.
1. Write a system of Inequalities to represent this situation. Letr be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
2. Graph the Inequalities.
3. What is the maximum number of hours Lla can work at the restaurant and still meet her earnings goal? Explain.
4. What is the maximum amount of money Lla can earn In 1 week? Explain.
Answer:
12a + 8b < 120c
Step-by-step explanation:
to write the inequalities, you have to label the variables. Lets let a be the yard work, b be the work at the family resteraunt, and c be the total hours of work. You would get an equation of:
12a + 8b < 120c
Also I apologize, I do not know how to graph this equation in a type box
subtract (-x - 3) - (5x + 2)
plz help
Write the equation in slope-intercept form that represents the line shown.
you love to play pool at the local hall if it costs $10 just to play plus $2.30 per game played what is the most number of games that you can play in one night on $50
Answer:
4
Step-by-step explanation:
or 17
10 to enter i assume and then 2.30 per game
12.3 everytime u play
50/12=4
x - 2y =0
3x + y = 0
solve using the substitution method
to solve the linear system
Answer:
x=0, y=0
Step-by-step explanation:
① Label the 2 given equations.
x -2y= 0 -----(1)
3x +y= 0 -----(2)
② Make x the subject of formula in equation (1).
From (1): x= 2y -----(3)
③ Substitute equation (3) into (2):
3(2y) +y= 0
Expand:
6y +y= 0
Simplify:
7y= 0
y= 0
④ Find x.
Subst. y=0 into (3):
x= 2(0)
x= 0
A Polynomial, p(x), has zeros when x = -2, x = 1/3, X = 3. What could be the equation of p(x)?
Answer:
(x+2)(x-1/3)(x-3)
Step-by-step explanation:
This could be a possible equation, the signs of the of the roots are always the opposite in the equation form.
whoever knows what 9+10 is i will reward them
Answer:
19
Step-by-step explanation:
Marlye asked students in her school whether they prefer scary movies or comedies. She found that 35 students prefer scary movies while 65 students prefer comedies. What percent of the students questioned prefer scary movies? 30% 35% 50% 65%
2
SEE ANSWERS
Answer:
The answer is 35%
Step-by-step explanation:
If we add together 35 and 65 we get 100. This means altogether there are 100 kids in her school. Out of those 100 kids, 35 like scary movies. We can write this as the fraction 35/100. This is equivalent to 0.35 or 35%.
Answer:
35%
Step-by-step explanation:
35+65
= 100
[tex]\frac{35}{100} * 100[/tex]
= 35%
HELP! The opposite of a number is always located on the opposite side of the number line and is an equal distance from zero.
True
False
Answer:
True
Step-by-step explanation:
.
Answer:
.
very true
.
Step-by-step explanation:
.
.
.
.
.
.
.
.
.
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is the value of b, if c=13, a=12?
Answer:
5
Step-by-step explanation:
a=12 (height)
c=13 (hypotenous)
b=? (base)
By using Pythagoras theorm
We have, hypotenous sq=base sq+height sq
Let b =base SO, base sq=hypotenous Sq-height Sq
=>base Sq =13sq-12sq
Base Sq =169-144
Base Sq =25
Base =5 (shifting the sq)....
Hope it's helpful
A family eats at a restaurant and the meal is $65, and they leave a tip of 20% of the price of the meal. What is the total with the meal and the tip?
♡ Answer ♡
$78
♡ Step-by-step explanation ♡
In the problem, it states that the family's meal is $65. At the same time, it is also mentioned that the tip is 20% of the price of their meal. This means that the tip is 20% of $65. In order to figure out the total price with the meal and the tip, we must multiply 20% by $65 in order to get the tip, and add $65 for the price of the meal. The sum will be your answer.
As stated earlier, the first step to this question is to multiply $65 by 20%. 20% in decimal form is 0.2 0.2*$65 equals $13. So, the family left a $13 tip.
The other step in finding the overall amount of money the family used is to add $65 to our previous answer. In this case, our previous answer is $13. We must add $65 to $13 in order to find the total price. $65+$13 is $78.
So, the total (with the meal and the tip) is $78.
A/N (Author's Note): This answer was plenty of fun to write, though it was slightly rushed! I hope this helps any and all people that use it! Have a stellar day!
Hurry plz!!
For parts (b) and (c), type each answer in the box below.
b. Explain why the opposite of a positive number will always be a negative
number
C. Explain why zero is its own opposite number.
If 30% of all the people at the carnival are on a ride, how many people are on a ride?
Answer:
165
Step-by-step explanation:
30% x 550= 165
Which of the following numerical expressions results in a negative number?
A.
(−18)÷(−3)
B.
(−57)+(−60)
C.
(−18)−(−20)
D.
(−4)×(−5)
what does pie mean. does it mean this
A rotating wind turbine has a diameter of about 145 feet and its circumference is about 456 feet. A smaller model of the turbine has a circumference of about 16 feet. What will the diameter of the model be? If necessary, round to the nearest whole number.
The diameter of the model will be about ___ feet
Answer:
ross-multiplication.
circumference divided by the diameter
10/x = 580/185
10x185=1850
1850/580=3.189
Step-by-step explanation:
give me brainliest
Answer:
7 feet.
Step-by-step explanation:
Solve
Set up a proportion using the given information for the turbine and its model.C /d =
C /d
Set up a proportion.660 /210 =
22/ d
Substitute the given values.660 ÷ 30
210 ÷ 30 ≈
22/ d
Since 660 divided by 30 is approximately 22, divide 210 by 30 to find the value of d.
660 /210 ≈
22/ 7
d ≈ 7
The diameter of the model is approximately 7 feet.
You design a tree house using a coordinate plane. You plot the vertices of the floor at J(2,1),K(2,8),L(9,8), and M(9,1). The coordinates are measured in feet.
a. Which best describes the shape of the floor?
triangle
square
trapezoid
A rectangle having a length one foot longer than its width.
A rectangle having a length two feet longer than its width.
Question 2
b. What are the perimeter and the area of the floor?
Perimeter:
ft
Area:
ft2
Answer:
Square
Area = 49
Perimeter =28
Step-by-step explanation:
How to get the area:
Square A= Side x side
Side=7
7x7=49
How to get perimeter:
Add the lengths of the square which is 7
7x4=28
0.25 of 40 plz plz help
What is the factored form of a quadratic with roots x = 5 and x = -11
Answer:
x=5×-11
this is the answer
Answer:
Step-by-step explanation:
X=11
X=-5
Write the mixed number as a percent.
1 17/20
Answer Quick and i will give you brianliest
Answer:
185% .!!!!!!!!!!!!!!!!!
what is the missing number in the solution to 948 = 10 below
Answer:
I can't see anything below-so thx for the free points ig
Step-by-step explanation:
I need help with this
Answer:
A
Step-by-step explanation:
process of elimination... :D
....................................
Answer:
uuuhhhh well i think B maybe
Answer: B
Step-by-step explanation: hope it helps :)
A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?
Answer:
the answer is 4
Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
Answer:
The answer is below,
Step-by-step explanation:
n+q=205n+25q=400
I hope this helps! :)
Which expression are equivalent to 4m + 12?
Answer:
2(2m+6) or 4(m+3)
Step-by-step explanation:
answers can vary, but I would go with the second one becuase it's always best to distribute the greatest common factor.
Answer:
4(m+3) and 6m- 2m + 12
Step-by-step explanation:
Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”
When he returns, the total will be "$1,000".
Given charges are:
For airfare,
= $412.00
For conference registration,
= $378.00
For food,
= $210.00
The total charges will be:
= [tex]Airfare+Conference \ registration+Food[/tex]
= [tex]412+378+210[/tex]
= [tex]1,000[/tex] ($)
Thus $1,000 is the right answer.
Learn more:
https://brainly.com/question/18057159
1. Which equation does not match the diagram? A. 6 +3x= 30
B. 3(x+6) = 30
C. 3x = 30- 6
D. 30 = 3x + 6
Answer:
B
Step-by-step explanation:
The solution is Option B.
The equation which does not satisfy the relation is 3 ( x + 6 ) = 30
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of x in the diagram be = 3
So , the total number of x = 3x
The sum of the values in the box = 30
So , the equation will be
6 + x + x + x = 30
On simplifying the equation , we get
6 + 3x = 30 be equation (1)
a)
6 + 3x = 30
The equation satisfies
b)
3 ( x + 6 ) = 30
On simplifying the equation , we get
3x + 18 = 30
The equation does not satisfy
c)
3x = 30 - 6
Adding 6 on both sides of the equation , we get
3x + 6 = 30
The equation satisfies
d)
30 = 3x + 6
The equation satisfies
Hence , the equation which does not satisfy the relation is 3 ( x + 6 ) = 30
To learn more about equations click :
https://brainly.com/question/19297665
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Solve the following system of equations using the elimination method. 8x – 5y = 5 –8x – 6y = 6
A)
(2,–3)
B)
(0,1)
C)
(–2,3)
D)
(0,–1)
Answer:
x = 0, y = -1
Step-by-step explanation:
Divide. Write the quotient in lowest terms.
2 1/2 divided by 2 2/3
Answer: 15/16
Step-by-step explanation:
2 1/2 --> 5/2
2 2/3 --> 8/3
5/2 / 8/3
15/6 / 16/6
15. 16
6 6
6*15 ÷ 16*6
90 / 96