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
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HELP ASAP
The blue triangle is dilated to the red triangle from the
dilation point of (0,0). What is the zoom factor?
Submit and Explain
15
Answer: Scale Factor = 3
Step-by-step explanation:
The top side of the blue triangle is equal to 2 and the top side of the red triangle is equal to 6. Therefore you hav to divide 6 by 2 to give you the scale factor which is 3. (Sorry I do not know if zoom factor is the same as scale factor)
Tres maquinas (A,B,C) producen el 40 % , 35% y 25 % respectivamente , del total de las piezas manufacturadas en una fabrica .Los porcentajes de produccion defectuosa de estas maquinas son del 3% 4 % y 5 % respectivamente
Answer:
La probabilidad de que la pieza elegida sea defectuosa, P(D), 0.0385
La máquina con mayor probabilidad de haber producido la pieza defectuosa es A
Step-by-step explanation:
Sea D= "la pieza es defectuosa" y N= "la pieza no es defectuosa". La información del problema puede expresarse en el diagrama de árbol adjunto.
Para calcular la probabilidad de que la pieza elegida sea defectuosa, P(D), por la propiedad de la probabilidad total,
P(D) = P(A) · P(D/A) + P(B) · P(D/B) + P(C) · P(D/C) =
= 0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05 = 0.0385
Debemos calcular P(B/D). Por el teorema de Bayes,
P(B/D)= P(B) x P(D/B) / P(A) x P(D/A) + P(B) x P(D/B) +P(C) x P(D/C)
= 0.35 · 0.04 / 0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05
Calculamos P(A/D) y P(C/D), comparándolas con el valor de P(B/D) ya calculado. Aplicando el teorema de Bayes, obtenemos:
0.012
0.0385
P(A/D)= 0.311
0.014
0.0385
P(B(D)=0.363
0.0125
0.0385
P(C/D)=0.324
La máquina con mayor probabilidad de haber producido la pieza defectuosa es A
The product of 25/-15 x 9 is
PLS I NEED THIS ASAPP
Answer:
-15
Step-by-step explanation:
25/-15×9
=5/-3×9
=5×-3
=-15
Step-by-step explanation:
[tex] \frac{25}{ - 15} \times 9 \\ = -15[/tex]
Solve for x in the literal equation −4 = xy + z.
Answer:
x = (-4 - z)/y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-4 = xy + z
Step 2: Solve for x
Subtract z on both sides: -4 - z = xyDivide y on both sides: (-4 - z)/y = xRewrite: x = (-4 - z)/yplease solve the given equation
Answer:
noooooooooooooo to show and see
What is the function g(x) created from f(x) = x2 by moving the graph left 2 units, adding vertical compression by a factor of 7, and
shifting the graph up 3 units?
A)
g(x) = 2(x +
B)
+ 1)2+3
g(x) = } (x - 2)2 + 3
- 1 x + 2)2+3
g(x) =
D)
g(x) = 3(x + 2)2 + 1
Answer:
g(x)=(1/7) (x+2)²+3
Step-by-step explanation:
I can't clearly recognize what are your A,B,C,D, but I think your equation should be like g(x)=(1/7) (x+2)²+3
It rained 0.72 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday.
How much did it rain on Tuesday?
Answer:0.38 inch
Step-by-step explanation: If it rains 0.72 inch on Monday and on Tuesday it rains 0.34 less inch then, you would have to subtract them to get 0.38 inch aka answer.
Answer: The answer is 0.38 inches
Step-by-step explanation:
The question said that on Tuesday, it rain 0.34 less than on Monday which mean to subtract. Therefore, 0.72-0.34=0.38 inches.
I hope it helps :)
Which is an incorrect rounding for 53.864?
54
53.87
50
53.9
Answer: 50
Step-by-step explanation:
How would the equilibrium change if the temperature were increased in
SO2(g) + NO2(9) = NO(g) + S03(g) + heat?
A. Only the reaction rate would change.
B. The equilibrium constant would decrease.
C. The amount of NO and SO3 would increase.
D. The amount of NO2 and SO2 would increase.
Answer:
D. The amount of NO2 and SO2 would increase.
Step-by-step explanation:
This is an exothermic reaction as Heat is among the products. Increasing the temperature would lead to more products in the reaction system. In order for the system to annul this change, more reactants would be formed.
The correct option is;
D. The amount of NO2 and SO2 would increase.
Can yall pls help with this
Answer:
x=7
Step-by-step explanation:
Jackie has already baked 17 pies, and she can bake 1 pie with each additional cup of sugar she buys.
With 18 additional cups of sugar, how many total pies can Jackie bake?
Answer:
35 pies
Step-by-step explanation:
17 + 18 = 35 pies
18 cups of sugar = 18 pies
Dave found the blueprint of his house. It shows the hallway is 4 inches long. If the scale factor is 1 inch: 1.25 feet, then what is the length of the hallway in real life?
Answer:
5 feet
Step-by-step explanation:
The scale factor = 1 inch: 1.25 feet
The length of the Hally = 4 inches
The length of the hallway in real life is calculated as:
1 inch = 1.25 feet
4 inches = x feet
Cross Multiply
x feet = 4 × 1.25 feet
x feet = 5 feet
Therefore, the length of the Hallway in real life is 5 feet
Quadrilateral ABCD is a kite with an area of 14 cm?. The length
of ED is 5 cm. What is the length of BE?
B
E
2 cm
С
2 cm
5 cm
(not drawn to scale)
D
A
7 cm
B
2 cm
С
4 cm
D 3 cm
When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80
Evaluate (x + y)for x= -3 and y= 5.
A.-1/2
B.0
C.1
D.2
Caleb rides his horse with a constant speed of 10 miles per hour. How long will he take to travel a distance of 15 miles?
Answer:
1 hour and 30 minutes
Step-by-step explanation:
Answer:
1 hour and 30 minutes
Step-by-step explanation:
15 is 10+1/210 1/2 is also known as 1515 miles at a constant of 10 miles per hour then equals 1 hour and a half 1 hour and 30 minutesEither Table L or Table M shows a proportional relationship.
Table
X
-1
0
1
2
у
-2
0
2.
4
Table M
х
-1
0
1
2.
y
0
6
9
Answer:
M
Step-by-step explanation:
The table of x, y values for a proportional relationship show that y is 0 when x is 0. This applies to the second table (M).
Is 45 a multiple of 4? Explain your answer (20 point offer)
Answer:
The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,.
Step-by-step explanation:
so no
Answer:
No
Step-by-step explanation:
A multiple of x is any number that is in the form kx, where k is any integer
Therefore 45/4 should be an integer if it is a multiple.
45/4 = 11.25, which is not an integer
Y-4x=3 in slope intercept form
Step-by-step explanation:
y - 4x = 3
Writing in slope intercept form that is y = mx + c
y = 4x + 3
Hope it will help :)
Answer: y=4x+3
Step-by-step explanation:
And four to both sides and the left side is left with y and the right side is left with 4x+3
The cost before tax for an order of CDs from Music & More store was $214.60. If the store ordered 20 equally priced CDs, and the total shipping and handling fee was $15.00, what was the cost of one CD?
Answer:
Cost of one CD = $9.98
Step-by-step explanation:
Total cost = $214.60
Total shipping and handling fee = $15.00
Number of CDs = 20
Cost of 20 CDs = Total cost - Total shipping and handling fee
= $214.60 - $15.00
= $199.60
Cost of one CD = $199.60 / 20
= $9.98
Cost of one CD = $9.98
Answer:
$9.98
Step-by-step explanation:
took a test and got the question right (this was the answer)
An isosceles triangle has angle measures of (2x degrees) and (5x degrees). What are three possible angle measures of the triangle? Show all work.
Answer:
[tex]40^{\circ},\:40^{\circ},\: 100^{\circ}[/tex]
Step-by-step explanation:
The interior angles of any triangle always add up to [tex]180^{\circ}[/tex]. In an isosceles triangle, (at least) two sides are congruent and therefore their base angles are also congruent. We can then form the following equation:
[tex]2x+2x+5x=180[/tex], where [tex]x[/tex] is some constant.
Solving, we get:
[tex]9x=180,\\x=20[/tex]
Therefore, plugging our constant back in, our angles are:
[tex]2(20),\: 2(20), \: 5(20), \\\fbox{$40^{\circ},\:40^{\circ},\: 100^{\circ}$}[/tex].
Note this is only one group of possible angles. We could've also set the angle represented by [tex]5x[/tex] to be the pair of angles that are congruent, and depending on your definition of isosceles, each angle measure could be [tex]60^{\circ}[/tex] (equilateral).
Answer:
100, 40, 40
Step-by-step explanation:
First, do 2x+2x+5x because an isosceles triangle has two equal angles. We know that a triangle's total angle is 180 degrees so we do 180/9=20 x=20. Then multiply 2 by 20 to get 40. Then multiply 5 by 20 to get 100. So you get 40 40 100.
write an equation in slope-intercept form of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4)
Answer: y=5x-11
Step-by-step explanation:
y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation of line is y= -1/5x + 1/4
The slope of the perpendicular line is 5.
We need to find line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4)
4=5(3)+b
-11=b
Hence, y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).
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Which statement correctly identifies the line of reflection?
Vx
4
3
-6-5-4-3
2
5 6
X
ON
O The triangles are reflected across the x-axis.
O The triangles are reflected across the y-axis.
O The triangles are reflected across the line y = x
O The triangles are reflected across the line y = -x
Mark this and return
Next
Submit
Answer: C: The triangles are reflected across the line y = x.
Step-by-step explanation: I got right on edge.
Two cruise ships leave the same port with a 35° angle between their path. Cruise A is traveling at 18 miles per hour and Cruise B is traveling at 15 miles per hour. If they travel in a straight path, find the distance between the cruise ships after 2 hours
Answer:
[tex]20\:\mathrm{miles}[/tex]
Step-by-step explanation:
After travelling two hours, the two cruise ships form a triangle. One of the legs of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:
[tex]s=\frac{d}{t}, d=s\cdot t[/tex]
Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:
[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]
Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:
[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]
Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:
[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:
[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).
9514 1404 393
Answer:
20.7 miles
Step-by-step explanation:
The distance that A travels in the same direction as B is ...
(18 mi/h)(2 h)cos(35°) = 29.489 mi
So, the difference in distances in that direction is ...
(15 mi/h)(2 h) -29.489 mi = 0.511 mi
__
The distance A travels in the direction perpendicular to B is ...
(18 mi/h)(2 h)sin(35°) = 20.649 mi
So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:
AB = √(0.511² +20.649²) = √426.632 . . . miles
AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours
A snail climbs to the top of a coconut tree 18 meters high. In an hour it will climb 2 meters. But if it go 2 meters, it will slips down one meter. Then how long does it take for the snaik to reach the top of the coconut?
Answer:
The snail will reach the top of the coconut in 18 hours.
Step-by-step explanation:
If the snail will climb 2 meters in 1 hour but it will slip down one meter for every 2 meters climbed, then the distance traveled will be:
[tex] d = 2 m - 1 m = 1 m [/tex]
Since in 1 hour, it climbs 2 meters minus 1 meter, the time in which the snail will reach the top is:
[tex] t = \frac{1 h}{1 m}*18 m = 18 h [/tex]
Therefore, the snail will reach the top of the coconut in 18 hours.
I hope it helps you!
EASY I'LL GIVE BRAINLIEST!!!!
Write an equation in two variables that shows the relationship between the time(t) and the distance(d) travelled.
Moves right 2 meters
every 3 hours.
Answer:
d= 2/3t
Step-by-step explanation:
Sheldon also picks tomatoes from his garden. He picked 5 3 10kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.
Answer:
3.8 kg
Step-by-step explanation:
Total kg of tomato = 5 3/10
Kilograms of rotten tomato = 1.5 kg
Kilogram of tomato tht were not rotten :
5 3/10kg - 1.5kg
= 5.3 - 1.5
= 3.8 kg
ummmmmmmmmmmmmmmmmmm
Answer:
x=120
Step-by-step explanation:
This shape has 6 sides. It is a 720 degree shape.
to find an angle just get 720 divided by 6
720/6=
120
If y = 4x + 3 is changed to y = 7x-1, how would the graph of the new function compare with the first
one? Describe its steepness and how it might shift.
Tonya buys a new Fujifilm Instax Mini for a price of $54.95. What is the total amount her credit card is charged if the sales tax is 7.25%
Answer:
Step-by-step explanation:58.93