Answer:
x = 1/3
Step-by-step explanation:
Rewrite the mixed number 1 1/2 as 1 9/18. The denominator here is 18, which is the smallest number divisible by 2, 6, 3 and 9. Then we have:
1 9/18 -(15/18)x - 6/18 = 16/18
or:
27/18 -(15/18)x = 22/18
Clear this of fractions by multiplying all terms by 18:
27 - 15x = 22, or
5 = 15x, or
x = 5/15, or x = 1/3
The value of the equation x = 1/3
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 equation be represented as A
Now , the value of A is
1 1/2 - [ ( 5/6 )x + 1/3 ] = 8/9 be equation (1)
On simplifying the equation , we get
3/2 - ( 5/6 )x - 1/3 = 8/9
Adding (5/6)x on both sides of the equation , we get
( 5/6 )x + 8/9 = ( 7/6 )
Subtracting 8/9 on both sides of the equation , we get
( 5/6 )x = ( 7/6 ) - ( 8/9 )
( 5/6 )x = ( 63 - 48 ) / 54
Multiply by ( 6/5 ) on both sides of the equation , we get
x = ( 15/54 ) x ( 6/5 )
x = 3/9
x = 1/3
Hence , the value of the equation is x = 1/3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Stephanie was going to sell all of her stamp collection to buy a video game After selling half of them she changed her mind. She then bought seventeen more How many did she start with if she now has 42?
Use guess and check to solve for the unknown number.
The quotient of eighteen and a number is three. What is the number?
Which statements about the problem are true? Check all that apply.
This is a multiplication problem.
This is a division problem.
Multiply 18 by 3.
Divide 18 by different numbers until you get 3.
The quotient of eighteen and six is three.
The quotient of eighteen and fifty-four is three.
Answer:
This is a division problem.
Divide 18 by different numbers until you get 3.
The quotient of eighteen and six is three.
Step-by-step explanation:
end of semester help
Answer:
Step-by-step explanation:
A= 1/2 bh
10.98 = 1/2b (3.6)
10.98=b/2 (3.6)
10.98=b (1.8)
10.98/1.8=b
6.1=b
I step by step explanation
Answer:
The slope of line formed by given two points is undefined as the denominator becomes zero.
Step-by-step explanation:
Given points are:
(2,4) and (2,-2)
Here
[tex]x_1 = 2\\y_1 = 4\\x_2 = 2\\y_2= -2[/tex]
Slope is defined as the steepness of a line in the plane.
It is denoted by m and is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]
Putting the values we get
[tex]m = \frac{-2-4}{2-2}\\m = \frac{-6}{0}\\m = \infty[/tex]
The slope of line formed by given two points is undefined as the denominator becomes zero.
Un auto A se desplaza por una carretera recta a una velocidad constante de 80 km/h otro auto B se localiza 30 km delante del auto a y se desplaza por la misma carretera a una velocidad constante de 60 km/h  ¿cuál es la regla de correspondencia de ambos autos? Y sutabla de valores?
Question in English:
Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?
Plzzzzz give me Brainliest!!!!!
A bear cub walks
5/6 miles in 5/12
age
hours. What is its
speed in terms of miles per hour?
Answer:use math(way
Step-by-step explanation
It help
Answer: 2 miles per hour
Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2
help plz plz will mark brainliest
Answer:
x = 52°
Acute angle = 64°
Step-by-step explanation:
Problem 1:
Since DN bisects <BDW, this means that m<BDN = m<NDW
Thus:
5v - 8 = 4v + 4
Collect like terms
5v - 4v = 8 + 4
v = 12
x = m<BDN = 5v - 8
x = 5v - 8
Plug in the value of v
x = 5(12) - 8
x = 52°
Problem 2:
First, find the value of y
(4y - 44) + (3y + 35) = 180 (linear pair)
4y - 44 + 3y + 35 = 180
7y - 9 = 180
7y = 180 + 9
7y = 189
Divide both sides by 7
y = 27
Acute angle = 4y - 44
Plug in the value of y
Acute angle = 4(27) - 44 = 64°
Pls help it due ASAP
pls show workings
Pls u really need help
Answer:
13 miles
Step-by-step explanation:
you can go down and to the right or to the left and down but either way it takes 13 miles from her house to Trader Joe's.
Simplify the expression. Explain each step.
6(2b)
Answer:12b
Step-by-step explanation:
Here,
We have only one variable
So we can multiply it with number
=6×2b
=12b
Hope it helps you
Plz mark me brainliest.
Write an equation that represents a vertical shrink by a factor of 1/4 of the graph of g(x)=|x|
can someone help with this
Answer: -1
Step-by-step explanation:
Find the Slope
(0, 2) , (1, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called r ise).
y2 − y1
m = _____
x2 − x1
Substitute in the values of x and y into the equation to find the s lope.
1 − (2)
m = _____
1 − (0)
Simplify.
Simplify the numerator.
−1
m = ____
1 − (0)
Simplify the denominator.
−1
m = ___
1
Divide −1 by 1.
m = −1
Solve for Y
-6x-2y+8
Step-by-step explanation:
-6x-2y+8
-6x -6x
÷-2 (-2y=-6x+8)
3x=-4
x= 3x
y= -4
y=-4-3x
PLEASE HELP I NEED TO RAISE MY GRADE PLEASE
Answer:
AC, AB. BC
Step-by-step explanation:
3.
If the volume of cylinder of height 7 cm is 448 cm², then the total surface area of cylinder is
(1) 2041 cm?
(2) 2241 cm?
(3) 2481 cm?
(4) 240 cm?
Answer:
A = 240π cm²
Step-by-step explanation:
Given that,
Height of a cylinder, h = 7 cm
Volume of the cylinder, V = 448π cm³
We need to find the total surface area of the cylinder.
The formula for the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]
The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]
So, the total surface area of the cylinder is 240π cm².
f(x)=3x-5 please help :>
Answer:
x= 5/3?????
Step-by-step explanation:
try using math
way
Factor completely and check your answer:
Help!
Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ
hope it will help you.........
Answer:
UV=UZ+ZV
Step-by-step explanation:
UV=3y-5+2z+2
=3y+2y-3
but UV =27=3y+2y-3
30 =3y+2y
bisect means cut in to two equal parts so
3x+3=3y+6
3x-3y=6-3
3x-3y=3
then combine the two equation
30 =3y+2y this is 30=5y which is y=6
3 = 3x-3y so enter y=6 into this equation
3=3x-3*6
3=3x-18
3x=21
x=7
The ratio copper and zinc in an alloy is 5:7. if the weight of copper is 33.5 g, what is the weight of zinc.?
please answer this question. will give you brainliest. please. ASAP.
Answer:
19.5416g
Step-by-step explanation:
5+7 =12
33.5/12 = 2.7916
2.7916 x 7 = 19.5416g
Step-by-step explanation:
Supposed U = {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1} is the universal set and K = {-10, -8, -6, -4, -2}. What is K’?
Answer:
-9
Step-by-step explanation:
-9,
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
Group of answer choices
A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
D.The slope from point O to point A is two times the slope of the line from point A to point B.
Answer:
A
Step-by-step explanation:
You can use the formula change in y divided by change in x, so for this the change in y would be 2 and the change in x would be 4. This means the slope is 1/2.
In a line, the slope never changes so it's A.
2x – 5 = 7 to 2x = 12 What property of equality was used?
Property of Addition and division.
Someone plz help me T^T
Question 3 (2 points)
(04.07)
Two separate bacteria populations grow each month and are represented by the functions fx) = 3* and g(x) = 7x + 6. In what month is the f(x)
population greater than the g(x) population? (2 points)
Complete question is;
Two separate bacteria populations grow each month and are represented by the functions f(x) = 3^(x) and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?
A. Month 1
B. Month 2
C. Month 3.
D. Month 4
Answer:
Option D: Month 4
Step-by-step explanation:
We are given the functions;
f(x) = 3^(x)
And g(x) = 7x + 6
We want to find the month when f(x) > g(x)
Thus;
3^(x) > 7x + 6
For option A, month 1 means x = 1.thus;
LHS is 3¹ = 3
RHS = 7(1) + 6 = 13
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option B, month 2 means x = 2. thus;
LHS is 3² = 9
RHS = 7(2) + 6 = 20
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option C, month 3 means x = 3. thus;
LHS is 3³ = 27
RHS = 7(3) + 6 = 27
Our LHS IS equal to the RHS and not greater than RHS as the question demands, thus this option is not correct
For option D, month 4 means x = 4. thus;
LHS is 3⁴ = 81
RHS = 7(4) + 6 = 34
Our LHS is greater than RHS as the question demands, thus this option is correct
Your bank account balance is $46.74. You deposit $60.86, then withdraw $134.70. What is your new balance?
Solve to get points!
Answer:
The answer is 6/3>2/3
this is a geometry question, please help me asap!!
3 1/4 - 4 1/2 show your work
If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.
Helppp pleaseeee
Someone pleaseeeee
Solve for x. Look at the image attached thanks.
Answer:
x=2.2
Step-by-step explanation:
You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.
So we can use the following ratios to solve for ED=x:
Andre and Diego were each trying to solve 2x + 6 = 3x - 8. Describe the first step they each make to the equation
The result of Andre's first step was -x + 6 -8.
Answer: Andre subtracted 3x from both sides
Hello can anyone answer this for me please ? I will give brainliest
Answer:
Your answer will be A have a good day :)
Step-by-step explanation:
A - 1 = 1 and B is 1