Answer:
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Step-by-step explanation:
Tenemos la siguiente ecuación simultánea: [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex]. El procedimiento consiste en destruir los paréntesis desde dentro hacia fuera, agrupar los términos semejantes y simplificar. Presentamos el proceso paso por paso:
1) [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex] Dado
2) [tex]16\cdot a -\{3\cdot a + (-1)\cdot [6+(-1)\cdot 9\cdot a]\} = 30\cdot a +\{(-1)\cdot (3\cdot a +2)+(-1)\cdot (a+3)\}[/tex] [tex]-b = (-1)\cdot b[/tex]
3) [tex]16\cdot a -\{[(-1)\cdot (6)+(-1)\cdot (-1)\cdot 9\cdot a]\}= 30\cdot a +\{\left[(-1)\cdot (3\cdot a) + (-1)\cdot (2)\right] +[(-1)\cdot a +(-1)\cdot (3)] \}[/tex] Propiedad distributiva
4) [tex]16\cdot a -(-6+9\cdot a) = 30\cdot a +(-3\cdot a -2-a-3)[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
5) [tex]16\cdot a +(-1)\cdot (-6+9\cdot a) = 30\cdot a -4\cdot a-5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/[tex]-b = (-1)\cdot b[/tex]
6) [tex]16\cdot a +[(-1)\cdot (-6)+(-1)\cdot (9\cdot a)] = 26\cdot a -5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/Propiedad modulativa.
7) [tex]16\cdot a +6-9\cdot a = 26\cdot a - 5[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
8) [tex]7\cdot a +6 = 26\cdot a - 5[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
9) [tex]6+5 = 26\cdot a -7\cdot a[/tex] Compatibilidad con la adición/Definición de sustracción.
10) [tex]11 = 19\cdot a[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
11) [tex]19\cdot a = 11[/tex] Simetría de la igualdad.
12) [tex]a = \frac{11}{19}[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Propiedad modulativa/Definición de división/Resultado.
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Pls help me....3x+4+2x+6yb+9×+1
NEED HELP RIGHT NOW I'M AT SCHOOL PLSSSSS
Answer:6yb+14x+1 is it Simplify ok
Step-by-step explanation:
What is the slope of a line parallel to the line that passes through (4, -3) and (3, -1)?
Answer:
-2
Step-by-step explanation:
find rise over run with y1-y2/x1-x2 = -2/1 = -2
The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )
Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )
Now , the equation for the slope of the line is given by ,
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )
Slope m = 2 / -1
Slope m = -2
Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
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The measure of angle Q is 75 degrees. Find the measure of angle P.
Answer:
< P = 30
Step-by-step explanation:
PQR isosceles triangle
< R= 75
< P = 180 - ( 75 + 75 ) = 30
Help me plz. The sides of a rectangular terrain are given by the expressions (x - 5) y
(x – 7) meters. Determine an algebraic expression that represents its area.
Once the expression is obtained, what are the measures of the terrain, so its
area is 195 m² ? What is the perimeter of the terrain?
Area = (x - 5)(x – 7)
Area = x(x - 7) - 5(x - 7)
Area = x^2 -7x -5x + 35
Area = x^2 -12x + 35
algebraic expression that represents its area: x^2 -12x + 35
x^2 - 12x + 35 = 195
x^2 - 12x + 35 - 195 = 0
x^2 - 12x - 160 = 0
x^2 - 8x - 20x - 160 = 0
x (x + 8) - 20 (x + 8) = 0
(x + 8) (x - 20) = 0
(x + 8) = 0
(x - 20) = 0
x = - 8 (not a solution)
x = 20
hence,
length = x - 5
length = 20 - 5
length = 15 m
width = x - 7
width = 20 - 7
width = 13 m
perimeter = 2(13) + 2(15)
perimeter = 26 + 30
perimeter = 56 m²
The perimeter of the terrain is 56 m²
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The sides of a rectangular terrain are given by the expressions (x - 5) and
(x – 7) meters.
Given area of rectangle is 195 m²
Area of rectangle= (x - 5) (x - 7)
195=x(x-7)-5(x-7)
195=x²-7x-5x+35
195=x²-12x+35
x²-12x+35-195=0
x²-12x-160=0
x²-8x-20x-160 = 0
x (x+8)-20(x+8)=0
(x-20)(x+8)=0
x=20 and x=-8
Length x-5=20-5=15
x-7=20-7=13
So length is 15m and width is 13m
the perimeter of the terrain =2(Length + width)
=2(15+13)
=2(28)
=56 m²
Hence the perimeter of the terrain is 56 m²
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Find −523−16. Write your answer as a mixed number in simplest form.
Answer:
(-523) - 16 is -539
Step-by-step explanation:
mathmathmathmathmsthmatj
(6x)^2 can be thought of as a vertical stretch by a factor of
O 6
O 36
O nothing
HEELLPPP I WILL GIVE BRAINLIEST AND POINTS THANK YOU!!!This year, 450,000 animal lovers are expected to visit a zoo. By the end of February, only 0.064 of the expected number of visitors actually toured the zoo. How many visitors would have to come to the zoo in the months of March through December to fulfill the prediction for this year?
The correct answer is 421,200. How do I reach that answer?
Solve for x:
3x+c=12
Please show work
Answer:
x=3 c=3
Step-by-step explanation:
How to solve for x is 12 divided by 3 equals 4 so x would equal 3 and C would give you an answer of 3 also if i am correct. 3×3 + 3 = 12
Can you help with this problem
Answer:
The value of w is 3.
Step-by-step explanation:
Parallelograms have equal opposite side measures.
so,
6w = w +15
6w - w = 15
5w = 15
w = 3
Answer:
w=3
Step-by-step explanation:
The opposite arms of parallelogram are equal
So the equation is
6w=w+15
=>6w-w=15
=>5w=15
=>w=15/5
Therefore
w=3
If you find my answer helpful.then please mark me as brainliest
In the diagram below, which two rays are opposite one another?
A. XM and XN
B. PX and XN
C. XQ and MN
D. MN and PQ
answer as fast as you can
Answer:
A. XM and XN
Step-by-step explanation:
Because they are opposite of each other on the same line.
XM and XN are opposite to one another.
What is a ray?Rays are lines that have only one end point.
How to tackle the problem?Observe the below-given figure to understand the answers.
The redline PQ has two rays XP and XQ which are opposite to one another, they have opposite directions and are parallelly opposite to each other.
Similarly, the black line MN has two rays XM and XN opposite to one another. they have opposite directions and are parallelly opposite to each other.
So, from the given options only one option is true which is
A. XM and XN are opposite one another.
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HELP!!!plzzzzzzzzzzz!!!!!!!!!!!!!!
Answer:
m∠2 = 47°
Step-by-step explanation:
m∠1 + m∠2 = 90°
3x + 13 + 5x - 3 = 90
8x + 10 = 90 ⇒ x = 10
m∠2 = 47°
sorry if this is your second time answering or seeing this but my ads arent loading.
forty five children attend a preschool the number of two year olds is one half the number of three year olds the number of four year olds is the same as the number of three year olds
how many two year olds attend
how many three year olds attend
how many four year olds attend
Answer:
a=9
b=18
c=18
18+18+9=45 total children
Which of the lines below has an undefined slope? A B 6 с LO D 5 O A. Line A O B. Line B O C. Line C O D. Line D
Answer:
B. Line B
General Formulas and Concepts:
Algebra I
Undefined slopes are when x equals a certain number.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
From the given choices, B is the correct answer.
A has a slope of 0, so m = 0 and would become a horizontal line.
C has a negative slope, so it is not undefined.
D has a positive slope, so it is not undefined.
B shows a vertical line, and so it has an undefined slope.
pls help I will give you brainliest just help please
Answer:
The answer is A & D.
Step-by-step explanation:
Hope this helps
Given: -2(5x-3/4)=-10x+3/2
-2(5x)+(-2)(-3/4)
=-10x+3/2
the length of a rectangle is four times its width. the rectangle has an area of 1024cm. work out the width of the rectangle
A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.
Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.
What is the total amount of Rashad’s sales?
How much does Rashad earn from his sales?
Answer:
1.) 1,380
2.) 138
Step-by-step explanation:
I know i'm 5 days late but why let the question go to waste
If He earns 10 percent of the total amount he sells, He would Get-
The total amount of Rashad’s sales- 1,380
How much does Rashad earn from his sales- 138
Have a Nice day!
Answer:
1380
138
Step-by-step explanation:
6
4.
2
74-22
2
4-
6
Slope
( √-5 + 2√20) ( -√-5)
Answer:
you cant do it
Step-by-step explanation:
because i have tryed with my calculator and it keeps on saying MATH ERROR
[AC]:CANCEL
[LEFT ARROW][RIGHT ARROW]: GOTO
YOUR WELCOME AND PLZ VOTE AS BRAINLESS
PS DAD IS IN HOTSPITAL SO I WOULD LIKE YOU TO VOTE ME AS BRAINLESS
THANK YOU AGAIN
This problem cannot be simplified at all.
What is the slope of the line that passes through the points (-2, 7) and (2, -5)?
Write your answer in simplest form
Answer:-3
Step-by-step explanation:
Last year, Mollie collected 64 pieces of candy while trick or treating. This year her costume is so fabulous that people were extra generous, and she collected 115 pieces of candy. What was the percent of change in her candy haul?
Answer:
79.6875 % If you can round, please do.
Step-by-step explanation:
7th Grade Math
Please help
-7 = 1/3 a
Find the value of a
Answer:
[tex]\huge\boxed{a=-21}[/tex]
Step-by-step explanation:
[tex]-7=\dfrac{1}{3}a\to\dfrac{1}{3}a=-7\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}a=(-7)(3)\\\\a=-21[/tex]
Wayne has 2 pet spiders. Each spider has 8 legs. What is the ratio of spiders to the total number of legs?
Answer:
2:8
Step-by-step explanation:
Answer: 2:8
but yeah its 2:8
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute
Answer: A: 3 square feet per minute
Step-by-step explanation:
The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.
System of equations
30x + + 30y = 450 equation 1
20x + 25y = 345 equation 2
Where:
x = square feet shovelled by Melinda
y = square feet shovelled by Paula
What is the square feet shovelled by Paula?The first step is to multiply equation 1 by 20 and equation 2 by 30
600x + 600y = 9000 equation 3
600x + 750 y = 10,350 equation 4
Subtract equation 3 from equation 4
150y = 1350
Divide both sides by 150
y = 9 square meters
What is the square feet shovelled by Melinda?Substitute for y in equation 1
30x + 30(9) = 450
30x + 270 = 450
30x = 450 - 270
30x = 180
x = 6 square meters
How much more can Paula shovel in 1 minute than Melinda?9 - 6 = 3 square meters
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What is the ratio of green stars to red stars? 4 green stars and 6 red stars
Answer:
2:3
Step-by-step explanation:
we have 4 green stars
and six red stars
as a ratio, it's
4:6
simplified
2:3
A movie theatre marks up the price of popcorn 12 3/4 times the original cost. express 12 3/4 as a percent and decimal.
Answer:
Answer: F. 1,275% and 12.75.
Step-by-step explanation:
Ratios
Ratios are usually expressed as decimals, fractions, colon notation, and percentages.
For example, if the ratio of two quantities is 2, it can be expressed as:
2, 2/1, 2:1, 200%
To obtain the percentage expression, just multiply by 100%.
The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.
The mixed fraction can be converted to a decimal by just adding their parts as follows:
12 + 3/4 = 12.75
Now to express it as a percentage, multiply by 100%:
12.75 * 100% = 1,275%
Answer: F. 1,275% and 12.75.
A bowl contains blueberries and strawberries. There are a total of 20 berries in the bowl. The ratio of blueberries to strawberries is 4 : 1. How many of each berry are in the bowl?
Answer:
4 strawberries
16 blueberries
Step-by-step explanation:
Given that:
Berries in bowl = strawberries and blueberries
Total number of berries = 20
Ratio of blueberries to strawberries = 4 : 1
Number of each berries in bowl:
Total ratio = (4 +1) = 5
Number of Blueberries :
(Ratio of blueberries / total ratio) * number of berries
(4/5) * 20
= 16 blueberries
Number of strawberries :
(Ratio of strawberries / total ratio) * number of berries
(1/5) * 20
= 4 strawberries
WILL MARK BRAINIEST!!!
(AMC8, 2008) In square ABCE, __ = 2FE and CD = 2DE. What is the ratio of the area △BDF to the area of square ABCE?
Answer:
5/18
Step-by-step explanation:
(36-12-12-2)/36=5/18
1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =
Answer:
1. 0.16545
2. 7.6278
3. 7.694
4. 14.35289
5. 1.23
Step-by-step explanation:
Just divide.
A bag contains 2 blue marbles, 3 green marbles, 1 white marble and 4 red marbles.
What is the probability of selecting a red marble? Your answer should be in simplified
form.
Answer:
2/5
Step-by-step explanation:
add all marbles together: 10 marbles
since only 4 are red, the fraction would be 4/10
4/10 can be simplified to 2/5
Answer:
1/45
Step-by-step explanation:
2/10 * 1/9 = 1/45
2/10= 2 red marbles and 10 marbles in total.
. $7.45 + ‐$24.45 + $74.17 + ‐$76.52
Answer:
$-19.35 or -19.35 aprox
Step-by-step explanation:
Answer:
-19.35
Step-by-step explanation:
add positives and subtract negatives