15(2 x+3)+100=110-5x
30 x+45+100=110-5x
30 x+145=110-5x
35 x+145=110
35 x=-35
x=-1
Answers
Step-by-step explanation:
Reasons for each step
1. Distribute: 15(2x + 3) = 30x + 45
2. Combine Like Terms: 45+100 = 145
3. Addition Property of Equality: 30x+5x+145 = 110-5x+5x => 35x+145 = 110
4. Subtraction Property of Equality: 35x+145-145 = 110-145 => 35x = -35
5. Division Property of Equality: 35x/35 = -35/35 => x = -1
Related Questions
20 points and brainliest
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
-2x + 8 = -2x + 8
-2 makes the equation equal.
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 6 is an equation.
We have,
-2x + 8 = __x + 8
The equation has infinitely many solutions when both sides of the equation are equal.
Now,
-2x + 8 = -2x + 8 is equal on both sides.
Thus,
-2x + 8 = -2x + 8
-2 makes the equation equal.
Option A is the correct answer.
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how much would it cost to replace all the windows on all the building in the united states?
Answers
The cost to replace all the windows on all the building in the United States is $7,200,000.
What is the expression to find the total cost?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Given that the cost to replace a window is $3 per window. IT should be noted that when there are 2,400,000 windows, the cost to replace all the windows on all the building in the United States will be:
= Cost of replacement × Total window
= $3 × 2,400,000
= $7,200,000
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The cost to replace a window is $3 per window. If there are 2,400,000 windows, how much would it cost to replace all the windows on all the building in the United States?
Please help heres a pic
Answers
The fourth arrow is used to represent inequality x>3.2
What is Number system?A number system is defined as a system of writing to express numbers.
Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
All the positive numbers are represented on the right side of the origin and all the negative numbers are represented on the left side of the origin, with a definite scale.
Here x>3.2 which means that values of x are greater than 3.2 so we use Open circle with right arrow.
Hence, the fourth arrow is used to represent inequality x>3.2
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Can someone explain how to find the answer
Answers
Let f = {(x, y) | x, y ∈ ℕ and y = 2x} be a relation on ℕ. Find the domain, co-domain and range. Is this relation a function? (2pts. )
Helpgggggggggyyuuh
Gggggggggygggggggfffff
Answers
Answer:
I believe the answer is 15.
Step-by-step explanation:
let me know if I am correct.
The number of total employees if there
are 150 employees that drive to work.
Answers
Answer:
150.
Step-by-step explanation:
If 150 total drive to work, then 150 work there....
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 4 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Given h(x)=-x+1, find h(2)
Please Help me!!!!
Answers
just replace x with 2
h(x) = - x+ 1
find h(2):
h(2) = -2 + 1
h(2) = -1
pla help.me with this question
Answers
Answer:
7. A
8. B
Step-by-step explanation:
7.
1 3
4 ------- - 2 -------
2 4
9 11
------- - -------
2 4
9(2) 11
------- - -------
2(2) 4
18 11 7 3
------- - ------- = ------- = 1 -------
4 4 4 4
----------------------------------------------------------------------------------------------------------
8.
3 3
13 ------- + 16 -------
8 4
107 67
------- + -------
8 4
107 67(2)
------- + -------
8 4(2)
107 134 241 1
------- + ------- = -------- = 30 -------
8 8 8 8
I hope this helps!
Brody and Qasim are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Brody is 272 miles away from the stadium and Qasim is 320 miles away from the stadium. Brody is driving along the highway at a speed of 43 miles per hour and Qasim is driving at speed of 59 miles per hour. Let BB represent Brody's distance, in miles, away from the stadium tt hours after noon. Let QQ represent Qasim's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Brody and Qasim are the same distance from the stadium.
Answers
B= -43t +272 and Q=-59t+320 equations for each situation, in terms of t, and at 3 hours Brody and Qasim are the same distance from the stadium.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
At noon, Brody is 272 miles away from the stadium
B represent Brody's distance, in miles, away from the stadium tt hours after noon.
Brody is driving along the highway at a speed of 43 miles per hour
Qasim is 320 miles away from the stadium
Qasim is driving at speed of 59 miles per hour.
Q represent Qasim's distance, in miles, away from the stadium t hours after noon
B= -43t +272
Q=-59t+320
-43t+272=-59t+320
-43t+59t=320-272
16t=48
t=3
Hence, B= -43t +272 and Q=-59t+320 equations for each situation, in terms of t, and at 3 hours Brody and Qasim are the same distance from the stadium.
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solve & check the linear equation
3(x-4) + 14=2(x+3)
Answers
Answer:
x = 4
Step-by-step explanation:
3(x - 4) + 14 = 2(x + 3)
3x - 12 + 14 = 2x + 6
3x + 2 = 2x + 6
-2x -2x
-----------------------
x + 2 = 6
-2 -2
---------------
x = 4
I hope this helps!
How can the logarithmic expression be written?
Select True or False for each statement.
Answers
Answer:
False, True, False-------------------------------------------
Simplify the left side and compare if the answer matches the right side.
[tex]log_3\ v-4log_3\ w=log_3\ v-log_3\ w^4 \implies False[/tex][tex]log_4\ (n\sqrt{m})= log_4\ (nm^{1/2})=log_4\ n+log_4\ m^{1/2}=log_4 n+\frac{1}{2} \ log_4 \ m\implies True[/tex][tex]log_2\ (\cfrac{cd^3}{e^4} )=log_2\ c+log_2\ d^3-log_2\ e^4=log_2\ c+3log_2\ d-4log_2\ e\implies False[/tex]Write an equation that represents the line. Use exact numbers.
Answers
Answer:
[tex]y=-\dfrac{1}{3}x+5[/tex]
Step-by-step explanation:
A line's slope is defined as rise over run.
The rise and run between the coordinates (0, 5) and (3, 4) is:
rise: -1
run: 3
Therefore, the slope of the line is -1/3. This is what x is multiplied by.
Next, to find what is added to x, find where the line crosses the y-axis. IN this case, that point is when y = 5, so in the second blank put 5.
"Use the given conditions to write an equation for x-intercept = -3/8 and y-intercept = 4 Write an equation for the line in point-slope form.
(Simplify your answer. Use integers or fractions for any
"
Answers
Answer:
y - 4 = 32/3 x
Step-by-step explanation:
A (-3/8; 0)
B (0; 4)
slope = (4-0)/(0-(-3/8)
4/3/8
4 * 8/3
32/3
y-4 = 32/3 (x-0)
y -4 = 32/3 x
Find the perimeter of the shape made up of rectangles and squares
Answers
Answer: p = 45
Step-by-step explanation:
10 + 7 + 7 + 12 1/2 + 3 + 5 1/2
24 + 18 + 3
27 + 18 = 45
Ingrid wants to buy a $20000 car in 8 years. How much money must she deposit at the end of each quarter in an account paying 5.9% compounded quarterly so that she will have enough to pay for her car?
Answers
Ingrid must deposit $402.74 at the end of each quarter for 8 years in order to have enough money to pay for her car.
Prove that () = + 5 and () = √ − 5 are inverse functions without finding the inverse of either function.
Answers
if two functions are inverse of each other, that means that their composite will result in "x" alone.
meaning, that if f(x) and g(x) are inverse of each other, then f( g(x) ) = x and the other way around will be the same, hmmm let's see if that's true
[tex]f(x)=x^3 + 5\hspace{5em}g(x)=\sqrt[3]{x-5} \\\\[-0.35em] ~\dotfill\\\\ f( ~~ g(x) ~~ )=[g(x)]^3 + 5\implies f( ~~ g(x) ~~ )=[\sqrt[3]{x-5}]^3 + 5 \\\\\\ f( ~~ g(x) ~~ )=(x-5) + 5\implies f( ~~ g(x) ~~ )=x ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ g( ~~ f(x) ~~ )=\sqrt[3]{[f(x)]-5}\implies g( ~~ f(x) ~~ )=\sqrt[3]{[x^3 + 5]-5} \\\\\\ g( ~~ f(x) ~~ )=\sqrt[3]{x^3}\implies g( ~~ f(x) ~~ )=x ~~ \textit{\LARGE \checkmark}[/tex]
13/7 + 3 2/3 solve the expression
Answers
Convert the mixed numbers to improper fractions and find the least common denominator, then add. This should get you 116/21, which converted to a mixed fraction is 5 11/21
I need help on my homework ASAP!! PLEASE HURRY I HAVE 20 MINUTES
Answers
Answer: 10) 18x+21 11) 20 + 30a 12) 8x + 10y
Step-by-step explanation:
Distributive property means to multiply each number within the parenthesis by the number outside of the parenthesis.
10) 3(6x + 7)
3*6x + 3*7
18x + 21.
With that, you should be able to see how the other questions were answered.
A roofer creates a price quote to repair a
roof using shingles. Which is least likely to
affect the value of the price quote?
the estimated cost of the shingles
chosen for the roof
the estimated time to lay the
shingles and underlayment
the square footage of the front yard
and backyard
the square footage of the house and
garage
Answers
Answer:
Step-by-step explanation:
the estimated time to lay the shingles and underlayment
The Estimation cost of the shingles chosen for the roof.
What is Estimation cost?Estimation cost is the process of predicting how much a project or task will cost. It is used to help make decisions about the feasibility of the project and to plan for its budget. Estimation cost is based on past experiences, the current market and expected future conditions. The accuracy of an estimate can be improved by gathering detailed information about the project and its components. This information can include the cost of materials, labor and time needed to complete the project. Estimation cost is an important part of project management and is used in combination with other project management tools and methods such as scheduling, budgeting and risk management.
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n x 4/5 = 3/4 what is n
A. n = 1/2
B. n = 15/16
C. n = 1 2/3
Answers
A rectangular piece of metal is 9 centimeters long and 6 centimeters wide. What is its area?
Answers
Answer:
54
Step-by-step explanation:
9x6
Find WY.
W
8
X
39°
Y
Write your answer as an integer or as a decimal round
WY =
Answers
PLEASE ANSWER
Carter and his children went into a movie theater and he bought $33 worth of drinks and candies. Each drink costs $4.50 and each candy costs $3. He bought 3 times as many drinks as candies. Determine the number of drinks and the number of candies that Carter bought.
Answers
The number of drinks and the number of candies that Carter bought are 6 and 2 respectively.
How to determine the number of drinks and candies?In order to determine the number of drinks and the number of candies that Carter bought, we would have to write a system of linear equation and assign variables to the number of drinks and number of candies respectively, and then translate the word problem into algebraic equation as follows:
Let the x indicate the number of drinks.Let the y indicate the number of candies.Since each drink costs $4.50 and each candy costs $3 and Carter bought 3 times as many drinks as candies;
x = 3y .......equation 1.
4.50x + 3y = 33 .......equation 2.
Substituting equation 1 into equation 2, we have:
4.50(3y) + 3y = 33
13.50y + 3y = 33
16.50y = 33
y = 33/16.50
y = 2 candies.
For the value of x, we have:
x = 3(2)
x = 6 drinks.
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Given the table below, write a linear equation that defines the
dependent variable, c, in terms of the independent variable, a.
Someone help I’ll give brainliest only need the answer no need for steps
Answers
Answer:
c = -1.75a + 15
I need help please help me with this
Answers
Answer:
67.38°
Step-by-step explanation:
AD = DB = 24/2 = 12
<bcd = 12/5
< bcd = 67.38°
Given f(x) = -3x + 3, solve for x when f(x) = 9.
Answers
Answer:
Step-by-step explanation: x=-2. -3•-2=6+3=9
this answer was wrong that i looked up on here please help
Answers
Answer: try quizlet
Step-by-step explanation:
“Benjamin Franklin was born in Milk Street, Boston, on January 6, 1706. His father, Josiah Franklin, was a tallow chandler [candle maker] who married twice, and of his seventeen children Benjamin was the youngest son. His schooling ended at ten, and at twelve he was bound apprentice to his brother James, a printer, who published the ‘New England Courant.’ To this journal he became a contributor, and later was for a time its nominal editor. But the brothers quarreled, and Benjamin ran away, going first to New York, and thence to Philadelphia, where he arrived in October, 1723.”
Which is the best summary of this excerpt?
Benjamin Franklin was born in 1706. He went to Philadelphia in 1723 after a fight with his brother.
Benjamin Franklin, born in Boston in 1706, was the youngest of his father’s seventeen children. He stopped going to school at age ten, and soon after started apprenticing for his brother James, a printer, who published the “New England Courant.” Franklin became a writer and editor for the paper, but left Boston for Philadelphia in 1723 after an argument with James.
Benjamin Franklin, born in 1706, lived in Boston, New York, and Philadelphia in his early life.
Benjamin Franklin was born in Boston in 1706. He was the youngest of his father’s seventeen children. His father, Josiah, was a candle maker. Franklin’s schooling ended at age ten, and at age twelve, he started apprenticing for his brother James, who published the “New England Courant.” After apprenticing, Franklin started contributing to the paper. Later, he became an editor.
Answers
Correct answer: Benjamin Franklin held different jobs at "New England Courant".
Simplify to create an equivalent expression 7n-(4n-3)
Answers
The expression 3(n + 1) is equivalent to the given expression 7n-(4n-3).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question following:
7n - (4n-3)
We have to determine the equivalent expression
As per the question, we have
⇒ 7n - (4n-3)
Open the parentheses and distribute the negative sign,
⇒ 7n - 4n + 3
⇒ 3n + 3
⇒ 3(n + 1)
Thus, the expression 3(n + 1) is equivalent to the given expression.
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en una expresion algebraica la reduccion de terminos semejantes se da entre los terminos de igual
Answers
Answer:990
990
990
990
990
990
Step-by-step explanation:
Answer:
Variable y exponente.
Step-by-step explanation:
En una expresión algebraica la reducción de términos semejantes se da entre los términos de igual variable o incógnita y exponente.
Por ejemplo:
3x² + 5x²
se pueden reducir pues tienen la misma variable x y el mismo exponente 2, su resultado se genera solo sumando, restando, los coeficientes, en este caso 3 y 5
3x² + 5x² = 8x²
En el caso:
3y² + 5x²
No se puede reducir pues la variable o incógnita no son iguales:
x≠y
En el caso:
3x² + 5x³
No se pueden reducir pues su exponente no es igual.