Answer:
x=18
Step-by-step explanation:
done
Answer:
x = 6
Step-by-step explanation:
2x+12=24
subtract 12 both sides
2x+12-12=24-12
2x=12
divide 2 both sides
2x/2=12/2
x = 6
hope it's helpful ❤❤❤❤
THANK YOU.
Q2 - With decimals
Work these simultaneous equations out
on paper and write down your answers.
The cost of 8 CDs and 7 DVDs is
$113.50.
The cost of 12 CDs and 8 DVDs is
$153.
a =
10a + 3b = 31
15a + 4b = 45
b =
m =
4m + 10n = 83
9m + 6 = 96
n =
p =
8p + 59 = 27
12p + 40 = 51
All the CDs are the same price and
all the DVDs are the same price.
q=
Find the cost of one of each.
6S + 7t = 42
S =
1 CD is $
8s + 3t = -1
t =
[8]
[4]
1 DVD is $
Answer:
Simplify the following algebraic expressions.
- 6x + 5 + 12x -6
2(x - 9) + 6(-x + 2) + 4x
3x2 + 12 + 9x - 20 + 6x2 - x
(x + 2)(x + 4) + (x + 5)(-x - 1)
1.2(x - 9) - 2.3(x + 4)
(x2y)(xy2)
(-x2y2)(xy2)
Solution
Group like terms and simplify.
- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - by
Solution
Use rules of exponential to simplify the numerator first.
(a b2)(a3 b) / (a2 b3) = (a4 b3) / (a2 b3)
Rewrite as follows.
(a4 / a2) (b3 / b3)
Use rule of quotient of exponentials to simplify.
= a2
Rewrite as follows.
(21 x5) / (3 x4) = (21 / 3)(x5 / x4)
Simplify.
= 7 x
(6 x4)(4 y2) / [ (3 x2)(16 y) ]
Multiply terms in numerator and denominator and simplify.
(6 x4)(4 y2) / [ (3 x2)(16 y) ] = (24 x4 y2) / (48 x2 y)
Rewrite as follows.
= (24 / 48)(x4 / x2)(y2 / y)
Simplify.
= (1 / 2) x2 y
Factor 4 out in the numerator.
(4x - 12) / 4 = 4(x - 3) / 4
Simplify.
= x - 3
Factor -5 out in the numerator.
(-5x - 10) / (x + 2) = - 5 (x + 2) / (x + 2)
Simplify.
= - 5
Factor numerator and denominator as follows.
(x2 - 4x - 12) / (x2 - 2x - 24) = [(x - 6)(x + 2)] / [(x - 6)(x + 4)]
Simplify.
= (x + 2) / (x + 4) , for all x not equal to 6
Solve for x the following linear equations.
2x = 6
6x - 8 = 4x + 4
4(x - 2) = 2(x + 3) + 7
0.1 x - 1.6 = 0.2 x + 2.3
- x / 5 = 2
(x - 4) / (- 6) = 3
(-3x + 1) / (x - 2) = -3
x / 5 + (x - 1) / 3 = 1/5
Solution
Divide both sides of the equation by 2 and simplify.
2x / 2 = 6 / 2
x = 3
Add 8 to both sides and group like terms.
6x - 8 + 8 = 4x + 4 + 8
6x = 4x + 12
Add - 4x to both sides and group like terms.
6x - 4x = 4x + 12 - 4x
2x = 12
Divide both sides by 2 and simplify.
x = 6
Expand brackets.
4x - 8 = 2x + 6 + 7
Add 8 to both sides and group like terms.
4x - 8 + 8 = 2x + 6 + 7 + 8
4x = 2x + 21
Add - 2x to both sides and group like terms.
4x - 2x = 2x + 21 - 2x
2x = 21
Divide both sides by 2.
x = 21 / 2
Add 1.6 to both sides and simplify.
0.1 x - 1.6 = 0.2 x + 2.3
0.1 x - 1.6 + 1.6 = 0.2 x + 2.3 + 1.6
0.1 x = 0.2 x + 3.9
Add - 0.2 x to both sides and simplify.
0.1 x - 0.2 x = 0.2 x + 3.9 - 0.2 x
- 0.1 x = 3.9
Divide both sides by - 0.1 and simplify.
x = - 39
Multiply both sides by - 5 and simplify.
- 5(- x / 5) = - 5(2
What is the y intercept of the line - 4 x + 6 y = - 12?
Solution
Set x = 0 in the equation and solve for y.
- 4 (0) + 6 y = - 12
6 y = - 12
y = - 2
y intercept: (0 , - 2)
What is the x intercept of the line - 3 x + y = 3?
Solution
Set y = 0 in the equation and solve for x.
- 3 x + 0 = 3
x = -1
x intercept: (-1 , 0)
What is point of intersection of the lines x - y = 3 and - 5 x - 2 y = - 22?
Solution
A point of intersection of two lines is solution to the equations of both lines. To find the point of intersection of the two lines, we need to solve the system of equations x - y = 3 and -5 x - 2 y = -22 simultaneously. Equation x - y = 3 can be solved for x to give
x = 3 + y
Substitute x by 3 + y in the equation - 5 x - 2 y = -22 and solve for y
-5 (3 + y) - 2 y = - 22
-15 - 5 y - 2 y = - 22
-7 y = - 22 + 15
-7 y = - 7
y = 1
Substitute x by 3 + y in the equation -5 x - 2 y = - 22 and solve for y
x = 3 + y = 3 + 1 = 4
Point of intersection: (4 , 1)
For what value of the constant k does the line - 4 x + k y = 2 pass through the point (2,-3)?
Solution
For the line to pass through the point (2,-3), the ordered pair (2,-3) must be a solution to the equation of the line. We substitute x by 2 abd y by - 3 in the equation.
- 4(2) + k(-3) = 2
Solve the for k to obtain
k = - 10 / 3
What is the slope of the line with equation y - 4 = 10?
Solution
Write the given equation in slope intercept form y = m x + b and identify the slope m.
y = 14
It is a horizontal line and therefore the slope is equal to 0.
What is the slope of the line with equation 2 x = -8?
Solution
The above equation may be written as
x = - 4
It is a vertical line and therefore the slope is undefined.
Find the x and y intercepts of the line with equation x = - 3?
Solution
The above is a vertical line with x intercept only given by
(-3 , 0)
Find the x and y intercepts of the line with equation 3 y - 6 = 3?
Solution
The given equation may be written as
y = 3
The above is a horizontal line with y intercept only given by
(0 , 3)
What is the slope of a line parallel to the x axis?
Solution
A line parallel to the x axis is a horizontal line and its slope is equal to 0.
What is the slope of a line perpendicular to the x axis?
Solution
A line perpendicular to the x axis is a vertical line and its slope is undefined
Step-by-step explanation:
y = -22 and solve for y
-5 (3 + y) - 2 y = - 22
-15 - 5 y - 2 y = - 22
-7 y = - 22 + 15
-7 y = - 7
y = 1
Write an equation in slope intercept form for the graph of the line.
x + 3 = 15
Solve the equation and check for the solution
Answer:
x=12
Step-by-step explanation:
move the 3 to the other side to get x by itself.
check: 12 + 3 = 15
Answer:
(Not sure)
x = 12
Step-by-step explanation:
x + 3 = 15
CLT
X = 15-3
× = 12
Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.
Answer:
x=1.15
y=2.12
Step-by-step explanation:
look at the picture ..........
please help, thank u
Answer:
B and C
Step-by-step explanation:
I have asked so many times and no one will answer. :(
1. Simplify each expression using the laws of exponents. Use the least number of bases possible and only positive exponents. When appropriate, express answers without parentheses or as equal to 1. All letters denote numbers. (1/2)⁷
2. Simplify each expression using the laws of exponents. Use the least number of bases possible and only positive exponents. When appropriate, express answers without parentheses or as equal to 1. All letters denote numbers. (1/11)⁻⁷
Answer:
1) [tex]\frac{1}{2^7}[/tex] ; 2) [tex]11^7[/tex]
Step-by-step explanation:
1) Using the Power of a Fraction Rule [tex](\frac{a}{b} )^x = (\frac{a^x}{b^x} )[/tex],
[tex](\frac{1}{2} )^7 = (\frac{1^7}{2^7} )[/tex], which can just be simplified to [tex]\frac{1}{2^7}[/tex].
2) Using the Negative Exponent Rule, [tex]a^{-x} = \frac{1}{a^{x}}[/tex],
[tex](\frac{1}{11} )^{-7} = \frac{1}{\frac{1}{11^7}}[/tex], which can be simplified to [tex]11^7[/tex].
The graph of k(x) = x² is translated 15 units to the right on a coordinate grid to create the graph of function p. Which
function represents the relationship between the graphs of k and p?
Answer:
A
Step-by-step explanation:
Took the test
.Any number that has 9 as a factor also
has 3 as a factor. Why is this
Answer:
9 is divisable by 3.
A number that has 9 as a factor can be divided by 9 so it can also be divided by 3.
Factor the expression
27 - 9x + 15y
Answer:
-3(3x-5y-9)
Step-by-step explanation:
yo does anyone know how to solve this
(-7, 0)
i promise im right
How do I find the length of SU?
Answer:
itll be WU multiplied by 2.
Step-by-step explanation:
this is because TV is the bisector, so WU and SW are the same length. just multiply it by 2.
Define the opposite and the absolute value of -8.
O The opposite of -8 is -8. The absolute value of -8 is 8.
O The opposite of -8 is -8. The absolute value of -8 is -8.
O The opposite of -8 is 8. The absolute value of -8 is 8.
O The opposite of -8 is 8. The absolute value of -8 is -8.
Answer:
The opposite of -8 is 0 and the absolute value in 8
Step-by-step explanation:
Answer:
The opposite of -8 is 8. The absolute value of -8 is 8.
Step-by-step explanation:
Mel cleans houses. She earns $7.50 every hour she dusts. She earns $10.00 every hour that
she scrubs floors. She scrubbed floors for 1.5 hours and dusted for 2 hours. How much money
did Mel earn?
4x = 44
PLease help UNDEN
Answer:
x= 11
Step-by-step explanation:
How do I figure this out?
Answer:
0.75 : 1
Step-by-step explanation:
Rearrange x= 3g + 2 to make g the subject
Answer:
g = 1/3 x - 2/3
Step-by-step explanation:
x =3g + 2
Switch sides:
3g + 2 = x
Take away 2 from both sides:
3g = x - 2
Divide both sides by 3:
g = 1/3 x - 2/3
Combine like terms.
9y2 + 9(7y2-5) =
I need this for now please
Answer:
72y2-45
Step-by-step explanation:
9y2 + 9(7y2 - 5)
you multiply the 9 by the stuff in the parentheses
9y2 + 63y2 - 45
72y2-45
Age was given instructions to create a rectangular garden that had an area of 45 ft^2. he was told that the length of the garden must be 1 ft less than twice the width. Find the length and width of the garden.
Answer:
width = 5 ft
length = 9 ft
Step-by-step explanation:
Here, we want to get the length and width of the garden
length is 1 ft less than twice the width
if width = w
length = 2w-1
The product of the two is 45
so, we have it that;
w(2w-1) = 45
2w^2 - w = 45
2w^2 - w -45 = 0
2w^2 - 10w + 9w -45 = 0
2w(w-5) + 9(w-5) = 0
(2w + 9)(w-5) = 0
2w + 9 = 0
or w -5 = 0
w = 5 or-9/2
w cannot be negative, so we = 5
l = 2(5) -1 = 10 - 1 = 9 ft
A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?
Answer:
[tex]4 < x < 38[/tex]
Step-by-step explanation:
[tex]21 - 17 = 4[/tex]
[tex]21 + 17 = 38[/tex]
The range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
A triangle has side lengths of 21 cm and 17 cm
side 1 = 21 cm
side 2 = 17 cm
What is the relation between side of triangle?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore,
length of side 3
[tex]21-17 < side 3 < 21+17[/tex]
[tex]4 < side 3 < 38[/tex]
Therefore the range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
To learn more about the side of triangle visit:
https://brainly.com/question/20734777
Solve: 5x=-6x+9
A: x= -9
B: x= -9/11
C: x= 9
D: x= 9/11
Answer:
x = 9/11
Step-by-step explanation:
5x = -6x + 9
Add 6x to both sides
11x = 9
Divide both sides by 11
x = 9/11
Answer:
X Equals 9/11
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.
Add (y + 2x + 5) + (3y - 3x +1)
Answer:
4y-x+6
Step-by-step explanation:
Answer:
3y-x+6is answer.good luck
Step-by-step explanation:
(y + 2x + 5) + (3y - 3x +1)
y + 2x + 5+3y - 3x +1
y+2y+2x-3x+5+1
3y-x+6
Find the equation of the line shown.
Lynn is making a snack. The recipes call for 38 cup of water for oats and 14 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain. No. Both recipes call for more than 1 cup, so the recipes will use more than 2 cups altogether. No. Both recipes call for more than half a cup, so the recipes will use more than 1 cup altogether. Yes. Both recipes call for exactly 1 cup, so the recipes will use exactly 1 cup altogether. Yes. Both recipes call for less than half a cup, so the recipes will use less than 1 cup together
Answer:
3.4/6
Step-by-step explanation:
No, Lynn do not have enough water to make her snack.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, the recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit.
You need to add up the quantities of water needed first. That will then tell if she has enough water.
Convert the fractions to decimals then add them up:
3/8 = 0.375
1/4 = 0.25
= 0.25 + 0.375
= 0.625 cups of water is required.
This is less than the 1 cup she has so she has enough water to make the snack.
No, Lynn do not have enough water to make her snack.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain
True and false math question
Answer:
I'm thinking it's false
Step-by-step explanation:
however, I would wait for another's opinion as well
Answer:
false
Step-by-step explanation:
just my opinion but if you think I'm wrong it's okay
Q1. What is the ratio of 4 weeks 3 days to 6 weeks.
Q2. What is the ratio of 3 dozen eggs to 8 eggs.
Q3. How far can a bus travel in 8 litres of diesel if it can travel 144 km in 6 litres of diesel
Answer in all steps and answer quick gotta help somebody.
Answer:
Q1: 28 : 3
Q2: 36 : 3
Step-by-step explanation:
Q1 EXPLANATION:
theirs 7 days in a week and theirs four weeks
4 x 7 = 28, theirs 3 days
28 : 3
Q2 EXPLANATION:
Theirs 12 in a dozen and theirs 3 dozens
3 x 12 = 36, theirs 3 eggs
36 : 3
Q3 EXPLANATION:
8 litres is 144 km
divide both by 4
2 litres is 36 km
then times both by 3
6 litres is 108 km
all you need is in the photo please
Answer:
i don't know how to answer
Step-by-step explanation:
Bill makes a conjecture that the sum of an odd integer and itself is always an even
integer. Which choice is the best proof of his conjecture?
Answer:
Step-by-step explanation:
NEED ANSWER ASAP! ON A TIMED TEST!
Four chords are drawn in the figure below, creating a quadrilateral with every vertex on the circle.
Using the special properties of this figure, determine m
Answer:
21°
Step-by-step explanation:
<DCB = 3x + 8°
< DAB = 5x + 4°
Now
<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }
3x + 8° + 5x + 4° = 180°
8x + 12° = 180°
8x = 180° - 12°
8x = 168°
x = 168° / 8
Therefore x = 21°
Hope it will help :)
2x + 3 + 4x + 6 + 12x + 18 = 477
Please answer with solving steps. Thanks guys :)
Answer:
x= 25
Step-by-step explanation:
2x + 3 + 4x + 6 + 12x + 18 = 477
FIRST combine like terms
take all "x"
2+4+12= 18x
take all whole numbers
3+6+18= 27
18x+27= 477
now solve for x
-27 on both sides
18x= 450
÷18 on both sides
x= 25
yoi have to add the variables so 2x +4x+12x=18x and concombine like terms so 3 +6+18=27 so you have to put tbat together 18x+27=477 then you have to get x alone so you have to subtract 27 in both sides 27-27=0 then 477-27=450 then you have to do the oppsite of multiply so you have to divide 18x/18x and 450/18x 18÷18 is 1 so you just have to put x and then divide 450÷18=25 so x=25.
What’s 2/10 closest to 0,1/2 or 1
Answer:
0
Step-by-step explanation:
2/10 is 2/10 away from 0, 2/10 is 3/10 away from 1/2, and 2/10 is 8/10 away from 1
