Answer:
m=1/2
Step-by-step explanation:
By counting, the y-value goes up 2 and the x-value goes up 4. This gives you 2/4, which simplifies to 1/2
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
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
all you need is in the photo please
Answer:
i don't know how to answer
Step-by-step explanation:
If CDG ~ EDF, find the value of x.
2x+7
5x-2
48
40
Answer:
x=4
Step-by-step explanation:
48/5x-2 = 40/2x+7
48(2x+7) = 40(5x-2)
96x+336 = 200x-80
-96x -96x
336 = 104x-80
+80 +80
416/104 = 104x/104
x = 4
The value of x is equal to 4.
we have given that,
If CDG ~ EDF, find the value of x.
2x+7
5x-2
48
40
we have to determine the value of the x.
What is the similarity of the triangle?
Two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles.
48/5x-2 = 40/2x+7
48(2x+7) = 40(5x-2)
96x+336 = 200x-80
-96x -96x
336 = 104x-80
+80 +80
416/104 = 104x/104
x = 4
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If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km and hour
Step-by-step explanation:
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]
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Find the equation of the line shown.
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:
4x = 44
PLease help UNDEN
Answer:
x= 11
Step-by-step explanation:
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answer:
The basketball game sold 439 adult tickets and 858 student tickets.
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values of the unknowns, with which when replacing, they must give the solution proposed in both equations.
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047 was collected on the sale of 1,291 tickets.
With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:
[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]
Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:
y=1291 -x
and you replace in the second equation:
5*x + 1291 - x= 3047
Solving, you get:
5*x-x= 3047 - 1291
4*x= 1756
x= 1756÷4
x=439
Replacing this value in the expresion y=1291 -x you get:
y=1291 -439
y= 858
The basketball game sold 439 adult tickets and 858 student tickets.
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
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:
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.
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"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
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 :)
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
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
How do I figure this out?
Answer:
0.75 : 1
Step-by-step explanation:
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.
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
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
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
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.
Write an equation in slope intercept form for the graph of the line.
yo does anyone know how to solve this
(-7, 0)
i promise im right
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 ..........
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
Factor the expression
27 - 9x + 15y
Answer:
-3(3x-5y-9)
Step-by-step explanation:
.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.
please help, thank u
Answer:
B and C
Step-by-step explanation:
