Answers
some of the steps are out of order
I'm going to assign letters
the order is
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7
A: given
B: we subtracted 5 from both sides so subtraction property of equality
C: subtract
D: divison property of equality (we divide both side by 2)
E: divide
The steps :
given subtraction property of equality subtract division property of equality divide Further ExplanationOne variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:
[tex]\large{\boxed{\bold{ax=b}}}[/tex]
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large{\boxed{\bold{ax+by=c}}}[/tex]
ax + by = c
x, y = variable
There are 2 general steps to solving a linear equation of one variable:
1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers 2. Change the equation into a simple form so that the coefficient of the variable is 1This can be done by dividing or multiplying by equal numbers
An equation will remain equivalent if both segments are multiplied or divided by the same number
In the equation
2x + 5 = 19
The right steps to complete it according to the images included are:
1. 2x + 5 = 9 ⇒ given 2. both segments are subtracted by the number 52x + 5 -5 = 9-5 ⇒subtraction property of equality
3. 2x = 14 ⇒subtract 4. both segments are divided by 2 so that the coefficient x = 1[tex]{\displaystyle {\frac {2x} {2}}=~\frac{14}{2}[/tex]
⇒division property of equality
5. x = 7 ⇒ divideLearn more
the slope-intercept form of the linear equation
brainly.com/question/1945934
a graph of a linear equation
brainly.com/question/1505806
system of linear equations
brainly.com/question/11544167
Keywords: variable, linear equation
Related Questions
Need help with problem number 10
Answers
9x - 6 + 58 = 16x - 4
9x + 52 = 16x - 4
9x - 16x = -4 - 52
-7x = -56
x = 8
hope it helps
Jason's age is 1/2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages.
A) 12a - 5.5
B) 18a - 13.5
C) 18a + 21
D) (12a-9)/2
Answers
Answer:
the answer is B)18a-13.5
Step-by-step explanation:
Idk how to do this please help me
Answers
HIJ = 176
ZIJ = x
HIJ is the whole thing, and HIZ is a part, therefore
36 + x = 176
176 - 36 = 140
x = 140
ZIJ = 140 degrees
hope this helps
At the movie theatre, child admission is $5.50 and adult admission is $9.40 . On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1379.20 . How many child tickets were sold that day?
Answers
a = 4c
5.50c + 9.40(4c) = 1379.20
5.50c + 37.6c = 1379.20
43.1c = 1379.20
c = 1379.20 / 43.10
c = 32 <=== 32 kids tickets
a = 4c
a = 4(32)
a = 128 <=== 128 adult tickets
Whats The Number name for 43,080,700
Answers
forty-three million, eighty thousand, seven hundred!! hope this helps
35 points in a game if the team scored 21 points the first half the fraction of the total scored in the second half was
Answers
35 -21 = 14
14/35 reduces to 2/5
Use a calculator to round the nearest hundredth
Answers
= -5.87 / 2
= - 2.94
hope it helps
What is the measure of angle S?
Answers
132 + 56 + 79 = 267
360 - 267 = 93
answer is 93 degrees
Can someone please help me with this problem?
Let f(x)=(x-2)^3+8.
Show that this function is one-to-one algebraically.
I've been stuck on this problem for quite some time now. I'm not asking for answers just a little explanation on what I need to do to solve it.
Answers
a machine manufactures wheels with a diameter of 70cm.It is acceptable for the diameter of a wheel to be withen 0.02 cm of this value .write and sopve an absolute value equation to find the minimum acceptable diameters
Answers
lower limit = 70 cm - 0.02 cm = 6.98 cm
upper limit = 70 cm + 0.02 cm = 70.02 cm
The absolute value equation for this scenario is,
0.02 = I70 - xI
For about 10 years after the french revolution, the french government attempted to base measures of time on multiples of ten: one week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. what are the ratios of (a) the french decimal week to the standard week and (b) the french decimal second to the standard second? assume that the definition of a "day" remains the same.
Answers
Explanation of the ratios of French decimal time to standard time after the French Revolution.
Explanation:Ratio of French Decimal Week to Standard Week:
1 French decimal week = 10 days, whereas 1 standard week = 7 days. So, the ratio is 10/7.
Ratio of French Decimal Second to Standard Second:
1 French decimal second = 0.01 standard second since 1 hour = 100 French decimal minutes = 100 x 0.01 = 1 standard hour.
(a) The ratio of the French decimal week to the standard week is [tex]\( \frac{10}{7} \)[/tex].
(b) The ratio of the French decimal second to the standard second is [tex]\( \frac{5}{3} \)[/tex].
To find the ratios of the French decimal week to the standard week and the French decimal second to the standard second, we'll compare the durations of these units in the French decimal system to those in the standard system.
(a) Ratio of the French decimal week to the standard week:
In the French decimal system:
- One French decimal week consists of 10 days.
In the standard system:
- One standard week consists of 7 days.
So, the ratio of the French decimal week to the standard week is:
[tex]\[ \text{Ratio} = \frac{\text{French decimal week}}{\text{Standard week}} = \frac{10 \text{ days}}{7 \text{ days}} \][/tex]
(b) Ratio of the French decimal second to the standard second:
In the French decimal system:
- One minute consists of 100 seconds.
In the standard system:
- One minute consists of 60 seconds.
So, the ratio of the French decimal second to the standard second is:
[tex]\[ \text{Ratio} = \frac{\text{French decimal second}}{\text{Standard second}} = \frac{100 \text{ seconds}}{60 \text{ seconds}} \][/tex]
Now, let's simplify these ratios:
(a) Ratio of the French decimal week to the standard week:
[tex]\[ \frac{10}{7} \][/tex]
(b) Ratio of the French decimal second to the standard second:
[tex]\[ \frac{100}{60} = \frac{5}{3} \][/tex]
So, the ratios are:
(a) for the French decimal week to the standard week.
(b) [tex]\( \frac{5}{3} \)[/tex] for the French decimal second to the standard second.
Janice deposited $750 in a savings account that earns 3.5% simple interest. How much interest has Janice earned by the end of the first year?
A.$776.25
B.$214.29
C.$2,625.00
D.$26.25
Answers
r = 3.5% = 0.035
I = $750 * 0.035
I = $26.25
Answer:
Janice has earned
D ) $26.25
Find a cubic function with the given zeros. Square root of five., - Square root of five., -7
Answers
please answer both questions thank you.
Answers
Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
Can any of the roots have multiplicity?
How can you find a function that has these roots?
Answers
Work backwards to find the factors from the roots, then multiply the factors together.y=x3−10x2+31x−30
Answer:
The roots cannot have multiplicity because the function is specified as cubic and 3 roots are given.
To find the function, write f(x) = (x – 2)(x – 3)(x – 5), and simplify the right side.
Identify the property that is demonstrated below:
ab = ba
a. commutative property of addition
b.commutative property of multiplication
c. identity property of multiplication
d.associative property of multiplication
Answers
This is what I've done so far but does anyone know what I do next or did I make a mistake
Answers
for inequalities, if you multiply or divide both sides by a negive, flip the direction of the inequality sign
pemdas always applies
but also the commutative property and assiociative property
so
2(5y+13)-6<20
add 6 both sides
2(5y+13)<26
divide both sides by 2 (easier that distributing)
5y+13<13
minus 13 both sides
5y<0
y<0 is the solution
Find the simple interest on a $2,219 principal, deposited for six years at a rate of 5.11%
Answers
hope this helped!
What is the sum of the polynomials
Answers
Answer:
B its 100% this one i promise
Step-by-step explanation:
The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be
⇒ 4m - 24n + 3
Option B is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The polynomials are,
⇒ (17m - 12n - 1) and (4 - 13m - 12n)
Now, Sum of the polynomial is find as;
The polynomials are,
⇒ (17m - 12n - 1) and (4 - 13m - 12n)
It can be written as;
The polynomials are,
⇒ 17m - 12n - 1
- 13m - 12n + 4
---------------------------
4m - 24n + 3
---------------------------
Thus, (17m - 12n - 1) + (4 - 13m - 12n) = 4m - 24n + 3
Therefore, The sum of the polynomials (17m - 12n - 1) and (4 - 13m - 12n) will be
⇒ 4m - 24n + 3
Option B is true.
Learn more about the polynomial visit:
https://brainly.com/question/26147255
#SPJ5
I need help please I’m lost
Answers
3, 1, 2
3 is the most likely because the chances are out of 2 classes instead of 2, which is one class.
1 is the number of people is also included in 2.
Hope this helps!
What is the common term for the set of all points with x- coordinate zero?
A. X axis
B. Y axis
C. Coordinate plane
D. Origin
Answers
Answer:
Option B is the correct answer.
Step-by-step explanation:
We have X axis, Y axis and origin in coordinate plane.
Origin is the point for which both x and y coordinate is zero.
X axis is the set of all points with y- coordinate zero.
Y axis is the set of all points with x- coordinate zero.
Here we are asked to find the common term for the set of all points with x- coordinate zero.
That is Y axis
Option B is the correct answer.
Best buy shoes had a back to school special. The total bill for four pairs of shoes came to $69.24 ( before tax ) What was the average price for each pair of shoes?
QUESTION 2 If you only purchased 1 pair of shoes at Best Buy Shoes instead of the four described in problem 20, how much would you have paid, based on the average price?
Answers
Answer: a) $17.31, b) $17.31.
Step-by-step explanation:
Since we have given that
Total bill for four pairs of shoes = $69.24
Number of pairs of shoes = 4
We need to find the average price for each pair of shoes .
So, Average price would be
[tex]\dfrac{\text{Total amount}}{\text{Number of pairs of shoes}}\\\\=\dfrac{69.24}{4}\\\\=\$17.31[/tex]
If he purchased only 1 pair of shoes, the amount he has to pay based on average price would be $17.31.
Hence, a) $17.31, b) $17.31.
Final answer:
The average price for each pair of shoes from the total bill of $69.24 is $17.31. If only one pair of shoes was purchased, it would also cost $17.31.
Explanation:
To find the average price for each pair of shoes in the first question, you divide the total bill by the number of pairs of shoes. In this case, the total bill is $69.24 for four pairs of shoes.
Step-by-step calculation:
Divide the total cost ($69.24) by the number of pairs (4).
The calculation will be $69.24 / 4 = $17.31.
The average price for each pair of shoes is $17.31.
For the second question, if you were to purchase only one pair of shoes, the cost would be equal to this average price, which is $17.31.
What is the value of x ?
Answers
x=16
Your welcome
The function f(x) = 800(1.09)3x shows the growth due to interest that Jim earns on an investment. The steps to calculate an equivalent function are shown below: [Step 1] f(x) = 800(1.09)3x
[Step 2] f(x) = 800(1.093)x
[Step 3] f(x) = 800(1.09 ⋅ 3)x
[Step 4] f(x) = 800(3.27)x Which of the following is the first incorrect step?
A. There is no mistake in the work.
B. Step 1
C. Step 2
D. Step 3
E. Step 4
Answers
Answer:
the answer is Step 3
Step-by-step explanation:
i took the test
Which of the following phrases would represent this expression?
the quotient of x and 3
the quotient of 3 and x
the product of 3 and x
the difference of x and 3
Answers
sorry if i got it wrong
Answer:
The quotient of x and 3 is the answer i hope it works
What is the value of x?
Answers
n = 6, because it is the number of angles the polygon has
(6-2) 180 = 720
720 - 120 - 100 - 128 - 133 - 112 = x
x = 127
hope this helps
the sum of the interior angles equal 720
112 + 133 +128 +100 + 120 = 593
720 - 593 = 127
x = 127 degrees
When invested at an annual rate of 5%, an amount earned Php 15,000.00 of simple interest in 2 years. How much money was initially invested?
Answers
r = 8% = 0.05, simple interest rate
t = 2 years, duration
A = 15,000.00, value after 2 years
Let P = principal, the amount invested.
Then
P(1+ 2*0.05) = 15000
P = 15000/1.1 = 13636.36
Answer: Php 13,636.36
What is the intersection of the sets A = {2, 3, 5, 7, 11} and B = {5, 11, 13, 15, 17}?
Answers
The intersection of sets is composed of the common elements.
The given sets have two common elements: 2 and 5.
{2;3;5;7}∩{2;5;11;13}={2;5}
Answer:
A ∩ B = {5, 11}
Step-by-step explanation:
Hello, the intersection of two sets A and B (A B), is the set that contains all elements of A that also belong to B , I mean , the common elements
Step 1
Let
A = {2, 3, 5, 7, 11}
B = {5, 11, 13, 15, 17}
you have to verify the common elements, first order the data from least to greatest to make it easier, here they are already sorted
A ∩ B = {5, 11}
Have a great day
A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.
Answers
60 seconds per minute, 60 minutes per hour
60*60 = 3600 seconds per hour
5280 feet per mile
300/5280 = 0.0568 of a mile
2.92/3600 = 0.000811 of an hour
0.0568 / 0.000811 = 70.028 miles per hour
round to 70 miles per hour
While in europe, if you drive 113 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 41.0 mi/gal ? assume that 1euro=1.26dollars?
Answers
791 km ~ 491.5 miles
491.5/41 = 12 gallons used
1 galloon ~ 3.8 liters
45.6 liters used
45.6 x 1.10 euros = 50.16 Euros used or $63.20 dollars used.
Answer:
[tex]\$63.04[/tex]
Step-by-step explanation:
Distance traveled in [tex]1[/tex] day = [tex]113 km[/tex]
Distance traveled in [tex]1[/tex] week = [tex]113*7 = 791 km[/tex]
Mileage of car = [tex]41.0 mi/gal = \frac{41*1.60}{3.78} = 17.35 km/liter[/tex]
Total gas consumed = [tex]\frac{791}{17.35} = 45.49liter[/tex]
Cost of [tex]1liter[/tex] gas = [tex]1.10 euros = 1.10*1.26 = \$1.386[/tex]
Money spent on gas in a week = [tex]45.49*1.386 = \$63.04[/tex]