the required simplified value of given expression 4x = 12x + 32 is x = -4 (hence proved).
Given that,
An expression is given 4x = 12x + 32,
We have to prove x = -4 as of simplified solution.
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.
Here,
4x = 12x + 32
Taking 12x to the left side of the equal sign and it becomes -12x
4x - 12x = 32
Applying subtraction property between 4x and 12
- 8x = 32
Dividing both sides by -6
x = -4
Thus, the required simplified value of the given expression is x = -4 (hence proved).
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1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?
Answer:
$617.25
Step-by-step explanation:
$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25
Answer:$580.50
Step-by-step explanation:
:)
Bill's school is selling tickets to a fall musical.
On the first day of ticket sales the school sold 1 adult ticket
and 6 child tickets for a total of $52.
The school took in $66 on the second day by selling 1 adult
ticket and 8 child tickets.
Find the price of an adult ticket.
•$3
•$10
•$7
•$9
By solving a system of equations, we can see that the adult ticket costs $10.
How to find the price of the adult ticket?
Let's define the two variables:
x = price of the adult ticket.y = price of the child ticket.With the given information, we can write a system of equations:
1*x + 6*y = $52
1*x + 8*y = $66
By taking the difference between the two equations we get:
(1*x + 8*y) - (1*x + 6*y) = $66 - $52
2y = $14
y = $14/2 = $7
Now that we know the value of y, we can find the value of x.
Replacing the value of y in the first equation we get:
1*x + 6*$7 = $52
x = $52 - 6*$7 = $10
With this, we know that the adult ticket costs $10.
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A blueprint of a house shows a dining room wi an area of 7 square inches. If the blueprint' scale is 1 inch : 6 feet, what would be the act area of the dining room? 1
The Actual area of the dining room is: 252 square feet.
How to Find the Actual Area Using Scale?Given that the area of the house on a blue print = 7 square inches.
Scale of the blue print = 1 inch : 6 feet.
Therefore, we would have the following proportion:
Area on blue print/actual area = square of the scale
7/actual area = 1²/6²
7/actual area = 1/36
Actual area = (7)(36)
Actual area = 252 square feet.
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Answer: Actual area (252 square feet).
Explanation:
How to Find the Actual Area Using Scale?
Given that the area of the house on a blueprint = is 7 square inches.
The scale of the blueprint = is 1 inch: 6 feet.
Therefore, we would have the following proportion:
The area on the blueprint/actual area = square of the scale
7/actual area = 1²/6²
7/actual area = 1/36
Actual area = (7)(36)
Actual area = 252 square feet.
Hope it helps!( 1/2 x 1/3) x 1/4 = 1/2 x (1/3 x 1/4)
A. Reflexive
B. Commutative
C. Associative
D. Distributive
Answer:
The answer is commutitve
PLEASE HELP!!!!!
A. What is 4.186 rounded to the nearest tenth?
B. What is 2.758 rounded to the nearest tenth?
C. What is 72.05 rounded to the nearest tenth?
D. What is 45.64 rounded to the nearest tenth?
E. What is 82.156 rounded to the nearest tenth?
F. What is 41.31 rounded to the nearest tenth?
G. What is 29.16 rounded to the nearest tenth?
H. What is 17.054 rounded to the nearest tenth?
I. What is 11.65 rounded to the nearest tenth?
J. What is 0.83 rounded to the nearest tenth?
K. What is 29.16 rounded to the nearest tenth?
L. What is 12.48 rounded to the nearest tenth?
M. What is 0.91 rounded to the nearest tenth?
_______________________________________________________
N. What is 20.5 rounded to the nearest whole number?
O. What is 13.71 rounded to the nearest whole number?
P. What is 71.23 rounded to the nearest whole number?
Q. What is 36.57 rounded to the nearest whole number?
R. What is 17.89 rounded to the nearest whole number?
S. What is 50.147 rounded to the nearest whole number?
T. What is 19.05 rounded to the nearest whole number?
U. What is 7.61 rounded to the nearest whole number?
V. What is 92.38 rounded to the nearest whole number?
W. What is 57.25 rounded to the nearest whole number?
X. What is 16.3 rounded to the nearest whole number?
Y. What is 44.08 rounded to the nearest whole number?
Z. What is 17.9 rounded to the nearest whole number?
1. What is 9.06 rounded to the nearest whole number?
Guys can you help me with this FAST!!
Answer:
1/6
Step-by-step explanation:
30+20= 50
200+100= 300
you divide 50÷300 and you get 1/6
PLEASE GEKO ME EHFND
Answer: 164 degrees
Step-by-step explanation:
IHG=JHG+IHJ
19x-7=84+7x+17
19x-7=101+7x
12x-7=101
12x=108
x=9
IHG=19x-7
IHG=19(9)-7
IHG=171-7
IHG=164 degrees
Please help with this question I will give you brainliest
Answer:
89.50 = 7.75 + 27.25p
subtract 7.75 from both sides
89.50 - 7.75 = 27.25p
81.75 = 27.25p
divide both sides by 27.25
p = 81.75 / 27.25
p = 3
Step-by-step explanation:
The number of people who can go to the amusement park is 3 people
Answer: p=3
Hence, the Linear Equation in two variables is used to determine the total number of people who go to the park is - y=7.75+27.25p
Step-by-step explanation:
89.50=7.75+27.25p
89.50-7.75+27.25p
81.75=27.25
81.75/27.25
p=3
A zoo orders food in bulk for its animals. They order enough fresh fruit to last 10 days, enough fresh vegetables for 7 days, and enough dried insects for 5 days. If they last ordered fresh fruit, fresh vegetables, and dried insects on January 1, in how many days will they need to order all three items on the same day?
Answer:
350
Step-by-step explanation:
Answer:
70 days
Step-by-step explanation:
Given that,
→ fresh fruit to last 10 days
→ fresh vegetables for 7 days
→ dried insects for 5 days
Then in how many days will they order all three items on the same day?
Then the LCM of 10, 7 & 5 is,
→ 2 × 5 × 7
→ 10 × 7 = 70
Hence, the answer is 70 days.
II. What are the coordinates
of A' using the rule
(x, y) (x-3, y+7)?
A(2, 5)
Need help
Answer:
so xtime sy ,fe fwvnvf nfdv bregbrrsikrwnknrhvnk vnf vknvns;;abjwrjkgwnkgwjknnnxnfnfsvmsr
the inequality always, sometimes, or never true
4x8> 1 + 4(x + 3)
The given inequality is never true which means it has no solutions. If an inequality has no actual solution, then there aren't any numbers that might be used to solve it and make the statement true. An inequality can be made true by substituting any real number into it if the solution to the inequality is all real numbers.
Given the expression is 4x ₋ 8 > 1 ₊ 4(x₊3)
first apply the distributive property.
4x ₋ 8 > 1 ₊ 4x ₊ 12
now combine the like terms.
4x ₋ 8 > 4x ₊ 13
Variables should be moved to the equation's left side.
4x ₋ 4x > 13 ₊ 8
combine like terms.
0 > 13 ₊ 8
calculate the sum.
0>21
This is the solution of inequality which has no solutions.
Hence the inequality of the expression is never true.
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I started golfing again recently and I've played 5 rounds of golf with the following scores: 92, 88, 85, 90, and 89. What score would I need the next time I play to have an average below 88.
The next score should by less than 84 to have an average below 88.
What is an average?The term average is the sum of all the numbers divided by the total number of values in the set.
Mathematically,
Average = Sum of the observations/number of observations
Now given that,
Scores = 92, 88, 85, 90, and 89
Rounds = 5
Let x be the score the score for next round or sixth round.
So, According to question,
Average < 88
So, Average = Sum of the scores/number of rounds
⇒ Average = (92 + 88 + 85 + 90 + 89 + x)/6
⇒ Average = (444 + x)/6
⇒ (444 + x)/6 < 88
⇒ (444 + x) < 528
⇒ x < 528 - 444
⇒ x < 84
Thus, the next score should by less than 84 to have an average below 88.
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(3x-5) + (x+1) = 180
The value of 'x' for the given expression is calculated as (x = 48).
What is defined as the linear equation in one variable?A linear equation in one variable is an equation that has only one solution.
It is expressed in the form ax+b = 0, where a and b are two integers and x is a variable. The numbers a' and b' are real numbers.'a' and 'b' are both greater than zero.2x+3=8, for example, is a linear equation with a single variable.Now, for the given expression;
(3x-5) + (x+1) = 180
Open the brackets.
3x-5 + x+1 = 180
Add the similar parts;
4x - 4 = 180
Further simplifying;
4x = 180 + 4
4x = 184
x = 184/4
x = 48
Therefore, the value of 'x' is estimated as 48.
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6) What is 1.333... in fraction form?
Answer:
It would be 1333/1000.
Use properties of exponents and logarithms to evaluate the expression as a rational number.
y= 1/16 is the solution of the equation where y is [tex]e^{-2ln4}[/tex]
The expression is given to be [tex]e^{-2ln4}[/tex]
The formula is given to be [tex]e^{lnx} =x\\[/tex]
also it is given that ln[tex]e^{x}[/tex]=x
Now to find and evaluate [tex]e^{-2ln4}[/tex]
let y=[tex]e^{-2ln4}[/tex]
taking ln both sides,
ln y = ln[tex]e^{-2ln4}[/tex]
ln y= -2 ln4
ln y= ln 4^-2
Removing ln from both sides,
y = 4^-2
y=1/16
Thus , y= 1/16 is the solution of the equation
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Help with this Problem
Answer:
Step-by-step explanation:
not sure 6
Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha 3 bought is of the number of red balloons. The number of green 5
balloons is also 2 3 of the number of yellow balloons.
How many balloons did Masha buy for the party?
Answer:
its 100 ez bro
Step-by-step explanation:
Answer: 100 balloons
Step-by-step explanation:
because it is 100 balloons
Given mn, find the value of x
118%
x=62 bec 180-118=62.
Step-by-step explanation:
180=118-x
180-118=x
x=62
Patricia wishes to have a rectangular garden in her backyard. She has 88 ft of fencing with which to enclose her garden. Letting x denote the width of the garden, find a function f in the variable x giving the area of the garden.
The area of the rectangular garden in terms of a function in x is given by 44x - x²sq. ft.
What is the area of a rectangle?
A rectangle is a closed geometric figure with opposite sides equal to each other. The area of this rectangle is given by the product of its length and width.
Calculating the area of a rectangular garden in terms of a function in x
Let us consider a variable x that denotes the length of a rectangular garden
Given perimeter of a rectangular garden is 88 ft with y as the width of a rectangular garden
Perimeter = 2×(length + breadth)
88 = 2(x + y)
44 = x + y
y = 44 - x
Area of a rectangular garden = xy
= x(44 - x)
= 44x - x² sq. ft
Hence, the area of a rectangular garden in terms of a function in x is given by 44x - x² sq. ft.
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Which expression shows that 11 + 7 = 5 + 13? A. (5 + 6) + 7 = 5 + (6 + 7) B. 6 + 6 + 6 = 18 C. 5 + 9 + 4 = 6 + 7 + 5 D. (11 + 4) + 3 = (5 + 7) + 6 Please select the best answer from the choices provided A B C D
Answer:
A? maybe because its (5 +6)+7=5
hope it will help
Answer:
The answer is A.
Step-by-step explanation:
a+b=c+d
Given the expression,
11 + 7 = 5 + 13, where a= 11
b= 7
c= 5
d= 13
From the options, taking option A:
(5 + 6) + 7 = 5 + (6 + 7)
5 + 6= 11= a
7 = 7= b
5 = 5= c
6 + 7 = 13= d
Therefore from the comparison above, we can see that option A is the best form of expression that correctly interpretes the given expression
Which is an illustration of the associative
property?
a. (b.c) = (b.c).a
α · b = α
a (b.c) = (a.b).c
a.b=b.a
Find all integer solutions of each system of inequalities.
a) 6-4b>0
3b-1>0
b) 3-18x<0
0.2-0.1x>0
Answer:
A: [tex]b < \frac{3}{2}[/tex] and the second equation is: [tex]b > \frac{1}{3}[/tex]
B: [tex]x > \frac{1}{6}[/tex] and the second equation is: [tex]x < 2[/tex]
---------------------------------------------------
Hope this helps!
Have a great day and God bless! :)
Landon was making snacks for his family for the week. He used 25/35 of a pound of peanuts. Additionally he use 1/7 of a pound of almonds. At the end of the week, he determined that 3/5 of the snacks were leftover. At the end of the week, how much snacks, in pounds, was used?
Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.
How to estimate the amount of snacks spent per week
In this problem we must determine the total amount of snacks used by Landon in a period of a week, which is found by the summing fractions. Then, we must solve the following linear equation:
(3 / 5) · x = x - 25 / 35 - 1 / 7
(3 / 5) · x = x - 25 / 35 - 5 / 35
(3 / 5) · x = x - 20 / 35
x - (3 / 5) · x = 20 / 35
(2 / 5) · x = 20 / 35
7 · x = 10
x = 10 / 7
And the amount of snack used is determined by the following subtraction:
z = (2 / 5) · (10 / 7)
z = 20 /35
z = 4 / 7
Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.
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How do I graph this line with slope of 1/3 passing through the point (-1, -1)
Answer: See attached
Step-by-step explanation:
an angle measures 85.2 less then the measure of its supplemetary angle . what is the measure of the angle
Answer:
94.8
Step-by-step explanation:
supplementary angle = 180°
180 - 85.2 = 94.8
Answer: 47.4 degrees
Step-by-step explanation:
A=measure of angle
S=Angle A's supplementary angle
Supplementary Angle=180 degrees
A+85.2=S
A+S=180
A+A+85.2=180
2A+85.2=180.0
2A=94.8
A=47.4 degrees
7th-grade question
5. Sara used 4 1/2 packs of pencils in the first 1/4 of the year. At what rate
is Sara using pencils?
A. 1 1/8 packs per year
B. 6 packs per year
C. 16 1/8 packs per year
D. 18 packs per year
In the Student Shoppe, Jackie spent $1 less than twice what Gail spent. If together they spent $11, find the amount of money Gail spent.
Answer:
Gail spent $4 and Jackie spent $7
Step-by-step explanation:
Let j = Jackie
Let g - Gail
j = 2g -1 j + g = 11
substitute 2g - 1 for j in the second equation
j + g = 11
2g - 1 +g =11 Combine the g's
3g -1 = 11 Add 1 to both sides of the equation
3g = 12 Divide both sides by 3
g = 4
Plug 4 in for g to find j
j = 2g -1
j = 2(4) -1
j = 8 -1
j = 7
K
What is 0.514 written as a power of 10??
Answer:
To write this is true scientific notation the decimal point needs to be moved 1 place to the right so the exponent for the 10s term will be negative:
0.514=5.14×10
−1
Answer:5.14
Step-by-step explanation:
Check all relationships
Complementary
Linear pair
Adjacent
Vertical
Supplementary
[tex]\implies[/tex]The answer is Adjacent and Complementary.
Step-by-step explanation:The two corners are complementary and adjacent to each other.So select Adjacent and Complementary.The table below shows a student's quiz scores on six quizzes.
Scores
15
9
8
13
10
11
Find this student's median quiz score