Answer:
x=9
Step-by-step explanation:
Solve for x
(
x
+
2
3
x
)
−
1
3
(
x
+
2
3
x
)
=
10
Simplify
x
+
2
3
x
−
1
3
⋅
(
x
+
2
3
x
)
.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
x
+
2
x
3
−
5
x
9
=
10
Find the common denominator.
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x
⋅
9
9
+
2
x
⋅
3
9
−
5
x
9
=
10
Combine fractions with similar denominators.
x
⋅
9
+
2
x
⋅
3
−
5
x
9
=
10
Subtract
5
x
from
x
⋅
9
.
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2
x
⋅
3
+
4
⋅
x
9
=
10
Multiply
3
by
2
.
6
x
+
4
⋅
x
9
=
10
Add
6
x
and
4
⋅
x
.
10
x
9
=
10
Multiply both sides of the equation by
9
10
.
9
10
⋅
10
x
9
=
9
10
⋅
10
Simplify both sides of the equation.
Tap for fewer steps...
Simplify
9
10
⋅
10
x
9
.
Tap for more steps...
x
=
9
10
⋅
10
Cancel the common factor of
10
.
Tap for fewer steps...
Cancel the common factor.
x
=
9
10
⋅
10
Rewrite the expression.
x
=
9
Answer:
x = 9
Step-by-step explanation:
Given
(x + [tex]\frac{2}{3}[/tex] x ) - [tex]\frac{1}{3}[/tex](x + [tex]\frac{2}{3}[/tex] x ) = 10 ← distribute parenthesis
x + [tex]\frac{2}{3}[/tex] x - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{9}[/tex] x = 10
Multiply through by 9 ( the LCM of 3 and 9 ) to clear the fractions
9x + 6x - 3x - 2x = 90
10x = 90 ( divide both sides by 10 )
x = 9
ayuda, cuáles son los ángulos de un triángulo isósceles usando un ángulo A de 37 °
Answer:
La suma de los ángulos interiores de un triángulo es igual a 180°. A + B + C = 180º
El valor de un ángulo exterior de un triángulo es igual a la suma de los dos interiores no adyacentes. ...
Un ángulo interior y exterior de un triángulo son suplementarios, es decir, s
Which table represents a nonlinear function?
X 1
2 3 4
5
6
A
y 3 6 9 12 15 18
X 2 4 6
00
10 12
B
y 4 7 10 13 16 19
X -2 -1 0 1
2 3
C
у
4 2 1 1.5 0.5
Answer:
3 ONE
IS IT RIGHT
Pleaseee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
In a parallelogram AO and OC are equal. Therefore you should set up the equation 3x-4=8. When you add 4 to both sides you get 3x=12. When you divide both sides by 3 you get x=4
In terms of the water lily population change, the value 3.915 represents:
Answer:
he initial number of water lily’s :the value 1.106 represents the population increase rateedge
Step-by-step explanation:
The value 3.915 represents the initial population in the exponential equation of water lilies.
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
The standard exponential equation is given as; y = ab^x
where;a is the initial population b is the rate (growth or decline)
We have been Given the exponential equation; y = 3.915(1.106^x)
On comparison, we can see that,
a = 3. 915
Hence, This shows that the value 3.915 represents the initial population of water lilies.
Learn more on exponential equation here:
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explain how to solve 6 - 2x = 3
One of the roots of equation x^(2)-(3p-4)x+11p-5=0 is 8. Find the other root. Find the value of p.
Answer:
Other root is 9 and p = 7.
Step-by-step explanation:
x^(2) - (3p-4)x + 11p-5 = 0 , x = 8.
Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:
8* A = 11p - 5
8 + A = -(-(3p - 4))
8 + A = -(-3p + 4)
8 + A = 3p - 4
A = 3p - 12.
Multiply this last equation by 8:
8A = 24p - 96
Now subtract the first equation from this:
8A - 8A = 24p - 11p - 96- (-5)
0 = 13p - 91
13p - 91 = 0
p = 91/13 = 7
and A = 3(7) - 12
= 9.
Answer:
Other root 9, p is 7
Step-by-step explanation:
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
A) 10x - 25y + 18 - 25x + 10y - 3
B) -15x - 15y + 15
C) -10x + 25y + 18 + 25x - 10y + 3
B) 35x - 35y + 21
Answer:
D. 35x-35y+21
Step-by-step explanation:
Deriving the Trigonometric Area Formula
Follow these steps to derive the trigonometric area formula,
1. For LABD, sin(A) =
B
h
А
D
Check
b
Answer:h/c
Step-by-step explanation:
A worker on the production line is paid a base salary of $170 per week plus $1.21 for each unit produced. Write an equation to represent his earnings of $491.86 for a week when he produced x units. How many units did he produce? Use pencil and paper. If the worker had produced twice that number of units, what would his earnings have been? Show your work.
Answer:
Part 1)
$170 + $1.21x = $491.86
Part 2)
170 + 1.21x + 491.86
1.21x = 491.86 - 170
1.21 x = 321.86
1.21x/ 1.21 = 321.86/ 1.21
x = 266 units produced
Part 3)
Twice that number of units = 266 x 2 = 532
$170 + ($1.21 x 532) =
$170 + $643.72 = $813.72
Consider the equation showing the distributive property.
84 +93 = 3 (28+ D)
Enter the unknown value that would make the equation true.
t
X
1
2
3
4
5
7
8
9
0
Answer:
D = 31
Step-by-step explanation:
Consider the equation showing the distributive property.
84 +93 = 3 (28+ D)
The unknown value we are asked to find is D
Hence:
84 + 93 = 84 + 3D
Collect like terms
84 - 84 + 93 = 3D
93 = 3D
D = 93/3
D = 31
Therefore, the unknown value that would make the equation true is 31
Is (1, 10) a solution to this system of inequalities?
y < x + 10
y < 8x + 7
the graph shows the number of girls and boys that were members of the schools debate during 5 years team
Answer: The number of girls on the debate team increased each year during these 5 years.
Step-by-step explanation:
can someone help me with this
Answer:
C≈81.68
Step-by-step explanation:
I hppe this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️
Each pair of polygons is similar. Find the values of x and y.
7. 6
х
7
6
8.
9.
X
14
12
10
у
6
13
9
9
12
8
у
5
8
у
Answer:
I think..........
Step-by-step explanation:
x=5,11
y=8,8,11
How to sketch an angle in standard position
Answer:
Drawing an angle in standard position always starts the same way, draw the initial side along the positive x-axis. To place the terminal side of the angle, you must calculate the fraction of a full rotation the angle represents.
Answer:
Get the number of rotations of the given angle by dividing 360 degrees with respect to positive x-axis.
Step-by-step explanation:
1. First draw a horizontal line (along x-axis).
2. Locate the terminal side of the angle by dividing 360 degrees. Recall that one full rotation is equal to 360 degrees. So, to sketch 360 degrees, we will divide it by 360 degrees resulting in 1.
3. Similarly to draw 180 degrees, divide 180 by 360. This will result in 1/2. Therefore, it is half the way from x-axis.
This circle has a radius of 12 millimeters and is divided into 8 equal sections. In terms of pi,
what is the area of 1 section of this circle?
Answer:
A = 18π mm²Step-by-step explanation:
Area of a circle: [tex]A_\circ =\pi r^2[/tex] where r is a radius of this circle
8 equal section means area of one is: [tex]A=\dfrac{\pi r^2}{8\ }[/tex]
r = 12 mm
[tex]A=\dfrac{\pi\cdot 12^2}{8\ }=\dfrac{144\pi}{8}=18\pi[/tex]
Over 20 years, the population of a town
decreased by 275 people to a population of
850. Write and solve an equation to find the
original population.
Answer:
p= 1125
Step-by-step explanation:
p-275= 850
p- 275= 850
+ 275 +275
p= 1125
P= the original population minus D= decrease in population is equal to C= the current population
p-d=c
Answer:
1125 people
Step-by-step explanation:
We don't know the exact quantity, but we know it has decreased by 275 and it's currently 850, so we will represent it like this:
x - 275 = 850
x = original amount of people
Now we just solve it like any equation
x = 850 + 275
x = 1125
Hope it was helpful ;)
Function or not a function?
yo no se ok yo no se solamente qiero puntos
Carl works at a garment factory and sews buttons on shirts. For each shirt he completes that passes inspection, he earns $2. How much does he earn for 54 good shirts? $108 $98 $96 $104
Pleaseeeee helppp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 6
Step-by-step explanation:
AC = 5x - 24
AO = 3
AC and BD bisect each other at point O. This means AC ≅ CO.
So, 2(AO) = AC.
2(3) = 5x - 24
Multiply.
6 = 5x - 24
Combine the constants.
30 = 5x
Divide by 5.
x = 6
72 millimeters to 3 meters
The ratio is 24:1000 or 0.024.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
72 millimeters to 3 meters
Now, Convert 3 meter to millimeter
3 meter= 3 x 1000
= 3000 mm
Then, ratio is
= 72 / 3000
= 24/1000
= 0.024
Learn more about ratio here:
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write the indicated trig ratio as a fraction
Sin K =
Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours
Answer: 2 11/24
Step-by-step explanation:
How many hours does the plane save?
Time taken for the train = 5 1/8
Time taken for the plane = 2 2/3
The number of hours saved will then be:
= 5 1/8 - 2 2/3
Let the lowest common multiple be 24
= 5 3/24 - 2 16/24
= 2 11/24
The number of hours saved by the plane will be 2 11/24
an isosceles right triangle has an area 8 cm square find the length of its hypotenuse
please answer me fast
Answer:
5.9
Step-by-step explanation:
Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use
[tex] {4}^{2} + {4}^{2} = {c}^{2} [/tex]
which simplify to
[tex]16 + 16 = {c}^{2} [/tex]
[tex]32 = {c}^{2} [/tex]
[tex] \sqrt{32} [/tex]
which is about 5.9
the algebraic expression 2x -4 when x=8 is evaluated as
Answer:
12
Step-by-step explanation:
2x-4
Subsitute x for 8 2(8)-4
Simply 16-4
12
Pls help
(Show your work pls!)
1. Solve for w
21+2w=p
2. Solve for a
2a+b=c
3. Solve for a
b-2a=c
1.
Step 1: Flip the equation.
p=2w+21
Answer:
p=2w+21
2.
Step 1: Add -b to both sides.
Step 2: Divide both sides by 2.
Answer:
a= −1 /2b+1/2 c
3.
Step 1: Add 2a to both sides.
−2a+b+2a=c+2a
b=2a+c
Answer:
b=2a+c
can you help me please
Answer:
x = 2
Explanation:
according to BPT theorem,
BD BE
---- = ----
DA EC
6 x+1
--- = ----
4 x
6x = 4x +4 ( cross multiplication)
transposing,
6x -4x=4
2x= 4
x= 2
hence x=2
BE = x+1 =2+1 =3
EC = x =2
i need help like need it pls help
Can someone help me with this problem . I have to show my work.
Answer:
Step-by-step explanation:
perimeter=2(100+16)
=2(116)
=232 cm
area=100(16)
=1600 cm²
Elizabeth purchased a $20 bus pass. Each time she rides the bus $1.25 is deducted from the pass. What equation would represent this scenario? *
12 points
y= 1.25x - 20
y= -1.25x + 20
y= 20x - 1.25
y= 20x + 1.25
Answer:
Y = 1.25x - 20
Step-by-step explanation:
Everytime she rides the bus 1.25 is taken away from that 20.
The x = Every ride
For example
say she rode the bus 5 times so it would be
1.25 × 5 = 6.25 now you take the answer and subtract it from the 20
20 - 6.25 = 13.75
I hope this helped :)