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].
Can someone help me pls
Answer:
Step-by-step explanation:
1). ASA postulate of congruence
2). Triangles are congruent.
What must be true in order for two triangles to be similar?
Answer:
All their angles must be equal and of the same ratio.
Step-by-step explanation:
Answer:
Equal Angles/Equal sides
Step-by-step explanation:
A bag of candy contained the flavors strawberry, orange, cherry, and lemon. Zelda drew each
piece of candy out of the bag and recorded the frequency of each.
Which candy's experimental probability is closest to its theoretical probability?
Answer: Strawberry
Step-by-step explanation: Strawberry has the highest candies so it has the highest chance of being pulled out.
ariana takes a handful of cookies and divides them evenly between her 3 kids. then she grabs one more cookie for each kid. if each kid got 4 total cookies. how many did she have in her original handful
Answer:
9 cookies in her original handful
Step-by-step explanation:
3 times 4 equals 12
12-3=9
Which describes the correct procedure when converting a number from scientific notation to standard notation if the power of 10 is -10? A .Move the decimal point to the left. B. Move the decimal point to the right. C. Move the decimal point to the right. D. Subtract 20 from the number.
Answer:
A. Move the decimal point to the left
Step-by-step explanation:
Given that:
The scientific notation = 10⁻¹⁰
Let recall;
That the standard notation usually took the form of an inverse:
For example;
Let say 10⁻¹ will be [tex]\dfrac{1}{10}[/tex] in scientific notation;
SO, [tex]\dfrac{1}{10} = 0.1[/tex]
Now; we are given 10⁻¹⁰ as a scientific notation,
To standard notation, we get:
[tex]10^{-10} = \dfrac{1}{100}[/tex]
= 0.01
Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is -10.
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Help megagaagsgsh fdndjfjdd
Step-by-step explanation:
a) The graph shows how many adults and youths attended the movies on Friday, Saturday and Sunday.
b) On Friday, more adults attended the movies then youths. On Saturday and Sunday, more youths attended the movies then Adults.
c) 1) Saturday is the most popular day to go to the movies because there was 500 adults and 650 youths for a total of 1150 people. Friday had 950 people and Sunday had 800 people.
vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dollars, how many cents does a soda cost?
Answer:
100d / (s+2h)
Step-by-step explanation:
A nutrition label on a can of tuna fish states that every 1/4 cup of tuna has 1/2 gram of fat. How many cups of tuna are there for every gram of fat?
Answer: 1/2 cups
Step-by-step explanation:
Given that:
Every 1/4 cup of tuna has 1/2 gram of fat
How many cups of tuna are there for every gram of fat:
Let cup of tuna for 1 gram of fat = t
Hence, If
1/4 cup of tuna = 1/2 cup of fat
t tuna = 1 cup of fat
Cross multiply :
1/2 t = (1/4 * 1)
1/2 t = 1/4
t = 1/4 ÷ 1/2
t = 1/4 * 2/1
t = 2/4
t = 1/2
Hence, 1/2 cups of tuna for every gram of fat
(6th grade math)
adrian has 50$ she spent 12.45 at the movies and 10.19 at the bowling alley. how much money does she have left?
Answer:
$27.36
Step-by-step explanation:
To find how much she spent you add the costs of the movie and bowling alley: 22.64
Now you subtract that from the amount of money you had to get: 27.36
Hope this helps!
Answer:
Adrian has $27.36 left.
Step-by-step explanation:
First add up the total Adrian spent!
12.45 + 10.19 = 22.64
Now subtract that amount from $50
50.00 - 22.64 = 27.36
Therefore, Adrian has $27.36 left
A town has a population of 17,000 and grows at 3% every year. what will be the population after seven years, to the nearest whole number
Answer:
20570
Step-by-step explanation:
3% of 17,000 is 510 so 17,000+7(510)=20570
Answer:
3570
Step-by-step explanation:
What would the equation be if my coordinates were, (-4,3) (2,6) ?
Answer:
y=1/2x+4
Step-by-step explanation:
change of x=2-(-4)=6
change of y=6-3=3
slope=3/6 or 1/2
y intercept=5
y=1/2x+5
How many units are there
Answer:
There are 9 units
Step-by-step explanation:
14x - 43 = 71 + 8x look for x show work please
Answer:
x=19
Step-by-step explanation:
14x-43=71+8x problem
14x=114+8x add 43 to both sides
6x=114 subtract 8x from both sides
x=19 divide by 6 to both sides (114/6 =19) x=19
Please help with the question in the photo above please!!!
Answer: -5
Step-by-step explanation:
Answer:
-5 is the correct answer
The ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.
Answer:
Yes, they are equivalent
Step-by-step explanation:
Case 1,
Distance = 250 miles
Time = 4 hours
Ratio = speed = distance/time
= 250 miles/4 hour
= 62.5 mph
Case 2,
Distance = 500 miles
Time = 8 hours
Ratio = speed = distance/time
= 500 miles/8 hour
= 62.5 mph
In both cases, the ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.
use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14
Answer:
x = 4
y = 2
Step-by-step explanation:
x - y = 2
x = 2 + y
2x + 3y = 14
2(2 + y) + 3y = 14
4 + 2y + 3y = 14
4 + 5y = 14
5y = 10
y = 2
x - y = 2
x - 2 = 2
x = 4
Answer:
4,2
Step-by-step explanation:
uhh yeahh don't know lol ...
Answer:
for first blank its 1/3 and second blank is 5
Step-by-step explanation:
Answer:
y=-1/3x+5
Step-by-step explanation:
BRAINLIEST PLS
Find the measures of ∠B and ∠C given that m∠B=(2.5x+6)∘ and m∠C=(7x−12)∘.
The figure shows triangle A B C. Side A B is congruent to side A C.
answers are one of the following
∠B = 4° and ∠C = 4°
∠B = 16° and ∠C = 16°
∠B = 20° and ∠C = 20°
Answer:
since AB=AC it is an isosceles triangle so ...
Step-by-step explanation:
angle B = angle C
2.5x + 6 = 7x - 12
4.5x = 18
therefore x = 4
substituting the value of x we get answer
angle B = 16
angle C = 16
What expression gives the distance between the points (4,6) and (7,-3)?
Answer:
[tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]
Step-by-step explanation:
Use the form: [tex]\sqrt{(x^2-x^1)+(y2-y1)^2[/tex]
so: [tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]
By the distance formula,
[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]
Here,
[tex]x_1 = 4[/tex]
[tex]y_1 = 6[/tex]
[tex]x_2 = 7[/tex]
[tex]y_2 = - 3[/tex]
Hence,
[tex]d = \sqrt{( {7 - 4)}^{2} + {( - 3 - 6)}^{2} } [/tex]
[tex]d = \sqrt{ {3}^{2} + ( - {9)}^{2} } [/tex]
[tex]d = \sqrt{9 + 81} [/tex]
[tex]d = \sqrt{90} [/tex]
HELPPPPPPPPP ASAPPPPPPPP PLSSSS
-1/3(px-2) = 9
ok! so first we want to isolate x.
multiply both sides by -3/1 (this is the reciprocal of -1/3)
(px-2) = -27
px = -27 + 2
px = -25
x = -25/p
hope this helped!
find the two square roots of 400
Answer:
20 and -20
20^2 = 400
(-20)^2=400 since two negative is positive
put x^2+15x+56 and make it into a word problem!
Can someone help me with the questions in the picture?
Answer:
1) Isosceles - 2 sides are the same.
2) Scalene - all the sides are different, and an oblique angle.
3) Right Triangle - it has a right angle
4) isoscele - 2 sides are the same it has acute angles.
5) Scalene - all the sides are different, and an oblique angle.
6) equilateral - all the sides and angles are the same.
Step-by-step explanation:
There are 20 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
There are
men in the dance recital.
Answer: 15
Step-by-step explanation: 3:4 5x4=20 5x3=15 15:20
Answer:
there are 15
men in the dance recital
Step-by-step explanation:
2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)
Answer:
Step-by-step explanation:
2x-3y=4 x+3y=29
Hmmm I got (11,6) and I did it two different ways. Are these the only answers?
Answer:
(11, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
2x - 3y = 4
x + 3y = 29
Step 2: Rewrite systems
2x - 3y = 4
x = 29 - 3y
Step 3: Solve for y
Substitute in x: 2(29 - 3y) - 3y = 4Distribute 2: 58 - 6y - 3y = 4Combine like terms: 58 - 9y = 4Isolate y term: -9y = -54Isolate y: y = 6Step 4: Solve for x
Define: x + 3y = 29Substitute in y: x + 3(6) = 29Multiply: x + 18 = 29Isolate x: x = 11Step 5: Check
Graph the systems of equations to verify the solution set.
Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP
your anser would be 19
let me now if u have a questions have a nice day
and Thanks :)
If Tina rode her bike at a constant rate for the first three hours, what was Tina's average calories burned, in calories per hour, between hour 0 and hour 3?
Answer: 400 calories per hour
Step-by-step explanation:
Q: Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?
Expalanation: It is seen from the graph that her rate of burning calories increased to 1200 in the first three hours of riding and then remained constant for the rest of the period (2 extra hours).
Her rate of calorie use therefore would be given as: (total calorie used up) / (total hours spent riding for the period of usage)
This is given as: 1200 calories / 3 hours = 400 calories per hour.
PLEASE HELP ITS EASY MATH AND FIRST ONE WHOS CORRECT WILL GET BRAINLIST
Write an equation in slope-intercept form of the line that passes through the given points.
X Y
-2 , 2
0 , 2
2 , 2
4 , 2
Answer: I think it's y=2??????
Step-by-step explanation: The shop would be 0, so there would be no x. The slope is zero because the y value never changes.
How many cups of white paint would be needed for just one batch?
Answer:
one white paint
Step-by-step explanation:
because if you use 1 whit paint on 1 yellow paint is either you get a little yellow pigment or light cream