Answer:
80m
Step-by-step explanation:
(20x2) =40m + 40m= 80m
Which expression is equivalent to 8x?y ? Assume x20.
O xy² ſex
O 2x²x² / xy?
O 2x3y4 2x
O 4x®y V
C. Because C right now
Option C is correct, the equivalent expression of √8x⁷y⁸ is 2x³y⁴√2x
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is √8x⁷y⁸
Square root of eight times x power seven y power eight.
Now we have to find the equivalent expression.
Equivalent expressions are expressions that work the same even though they look different.
We have to simplify the given expression
√4×2x⁶.xy⁸
We get 2x³y⁴√2x
Hence, Option C is correct, the equivalent expression of √8x⁷y⁸ is 2x³y⁴√2x
To learn more on Expressions click:
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PLEASE HELP! ! ! urgent!
Answer:
[tex]6(\frac{1}{3} \times\frac{7}{5} )=(6\times\frac{1}{3} )\frac{7}{5}[/tex]
[tex]Answer: B[/tex]
-------------------------
Hope it helps...
Have a great day!!
Can anyone help me with this ?
Answer:
The correct answer, pertaining to the proposed interrogate, is acknowledged as x = 3.
Step-by-step explanation:
To evaluate for such, a comprehension of linear data must be obtained:
Slope = rise/run, defined as the agglomerate distance between two differentiated points.
X-intercept: The peculiar point in which linear data is observed to intersect the x-axis.
Y-intercept: The peculiar point in which linear data is observed to intersect the y-axis.
If there is a vertical line intersecting the x-axis, the particular point (x, y) is identified as what x is equated to.
Likewise, if there is a horizontal line intersecting the y-axis, the particular point (x, y) is identified as what y is equated to.
Thus, the following must be applied to the interrogate:
- Vertical line, thus determine the point in which the data intersects the x-axis.
- Such is identified as (3,0).
Thus, since that is the only linear figure intersecting at such peculiar axis, 3 is the equated value of x.
Hence, x = 3.
*I hope this helps.
Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?
A.0
B.1
1
OC. 2
OD
4
OE
Infinitely many
A. 11.17
B. 6.75
C. 4.5
Answer:
4.5
Step-by-step explanation:
The triangles are similar
QT QS
------ = ______
QR QP
3 5
----------- = ---------
(4x-3)+3 25 +5
3 5
----------- = ---------
4x 30
Using cross products
3*30 = 5*4x
90 = 20x
90 /20 = 20x/20
4.5 =x
Alan is currently at a point that is 346.8 ft above sea level. He is planing to travel to Bombay beach, California, which is 236 ft below sea level. It will take him 3 days to travel to Bombay beach. What is the difference in sea level of the two locations
Answer:
110.8 feet
Step-by-step explanation:
Find the difference in sea level by subtracting 236 from 346.8:
346.8 - 236
= 110.8
So, the difference in sea level is 110.8 feet
The equation of line u is y = 9/2x+1. Line v is perpendicular to u. What is the slope of line v
Answer:
Step-by-step explanation:
The slope of line u is 9/2; the line perpendicular to that is the opposite reciprocal...opposite sign and the flip of the fraction. The perpendicular slope is -2/9
You roll five number cubes and the numbers rolled are 1,2, 3, 4, and 5. Are the events independent? Explain.
A.No; five number cubes were rolled instead of one.
B.Yes; none of the rolls has an effect on another roll.
C.No; none of the rolls had the same outcome.
D.Yes; all the rolls had different outcomes.
What is this including the integers please?
Answer:
3[tex]\sqrt{11}[/tex] + 2[tex]\sqrt{11}[/tex] = 5[tex]\sqrt{11}[/tex]
Step-by-step explanation:
[tex]\sqrt{99}[/tex] = [tex]\sqrt{(9)(11) }[/tex] = 3 [tex]\sqrt{11}[/tex] (separate perfect squares using factoring)
[tex]\sqrt{44}[/tex] = [tex]\sqrt{(4)(11)}[/tex] = 2 [tex]\sqrt{11}[/tex]
3 [tex]\sqrt{11}[/tex] + 2 [tex]\sqrt{11}[/tex] = 5 [tex]\sqrt{11}[/tex] (add like terms. Think of the [tex]\sqrt{11}[/tex] like x's.)
(Just add the coefficients)
Answer:
5[tex]\sqrt{11}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b[/tex] = [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{99}[/tex]
= [tex]\sqrt{9(11)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{11}[/tex]
= 3[tex]\sqrt{11}[/tex]
-----------------------
[tex]\sqrt{44}[/tex]
= [tex]\sqrt{4(11)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{11}[/tex]
= 2[tex]\sqrt{11}[/tex]
Then
[tex]\sqrt{99}[/tex] + [tex]\sqrt{44}[/tex]
= 3[tex]\sqrt{11}[/tex] + 2[tex]\sqrt{11}[/tex]
= 5[tex]\sqrt{11}[/tex]
with a = 5 and b = 11
Does anyone know this?
Answer:
functions are expressions that involve 2 variables, a dependent and an independant variable
example: x=3 isn't a function, but 2y=6-x is
if the sum of two numbers is 13 and their product is 42 determine the number
Answer: 6, 7
Step-by-step explanation:
Number #1 = xNumber #2 = yx · y = 42x + y = 13 ⇒ y = 13 - xx · y = 42
x · (13 - x) = 42
13x - x² = 42
-x² + 13x - 42 = 0
(-1)(-x² + 13x - 42) = 0(-1)
x² - 13x + 42 = 0
(x - 6)(x - 7) = 0
x₁ = 6x₂ = 7y = 13 - x
y₁ = 13 - x₁ = 13 - 6 = 7y₂ = 13 - x₂ = 13 - 7 = 6
Joe ran around a Pentagon shaped track with sides each measuring 1760 feet. If he made three complete trips around the track how far did he run?
Answer: [tex]26,400\ ft[/tex]
Step-by-step explanation:
Given
Each side of the pentagon measures [tex]1760\ ft[/tex]
A complete trip is equivalent to the perimeter of the perimeter
[tex]\Rightarrow \text{Perimeter of the Pentagon P=}5\times 1760\\\Rightarrow P=8800\ ft[/tex]
For Three rounds, he completed a distance of
[tex]\Rightarrow P=3\times 8800\\\Rightarrow P=26,400\ ft[/tex]
c) A building owner fixed the cost of his building as Rs 15,84,000 and the price
above the fixed cost goes to an agent as his commission. If the agent sold it for
Rs 16,71,120, find his commission percent.
Plz solve it .
Answer:
5.5%
Step-by-step explanation:
Firstly, we find the difference between the fixed cost and the price above the fixed cost
We have this as;
1, 671,120 - 1,584,000 = 87,120
now, we have to divide this value by the fixed cost and express as a percentage
we have this as;
87,120/1,584,000 * 100% = 5.5%
Find the equation of the line through the points (-5,11) and (2,-3)
y=
Answer:
Y= -1/2X- 2
Step-by-step explanation:
-3 - 11 = -14
2-(-5) = 7
7/-14 = -1/2
-3 = 2(-1/2) + b
-3 = -1 + b
-2 = b
Y= -1/2X-2
What is the value of x? PLEASE HELP
Answer:
4
Step-by-step explanation:
Write the point-slope form of each graph. Use the red point to write your equation. State the point and slope.
Find question attached
Answer:
y=58°
x=122°
Step-by-step explanation:
y=58°[°•°being corresponding angles]
Now,
x+y=180[°•°co-interior angles]
or, x=180-58
•°•x=122
La edad de maria es el triple de la edad de juan. En 7 años mas la ssuma de sus edades sera de 46 años. La suma de las edades actuales de juan y maria es
Answer:
The sum of the present age of Juan and Maria is 32 years.
Step-by-step explanation:
Maria's age is three times Juan's age. In 7 years the sum of their ages will be 46 years. The sum of the current ages of Juan and Maria is
Let the Juan's present age is p.
Maria's present age is 3 p.
After 7 years,
Juan's age = p + 7
Maria's age = 3 p + 7
According to the question
p + 7 + 3 p + 7 = 46
4 p + 14 = 46
4 p = 32
p = 8
So, the present age of Juan is 8 years and Maria is 24 years, the sum is 8 + 24 = 32.
the lines shown below are perpendicular. If the green line has a slope of -3/7 what is the slope of the red line?
Answer:
The red line, which is perpendicular, has a slope of 7/3
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
-3/7 * m = -1
Multiply by -7/3
-7/3 *-3/7 * m = -1*-7/3
m = 7/3
The red line, which is perpendicular, has a slope of 7/3
Answer:
-3/7
Step-by-step explanation:
It's parallel so the slope is the same.
help please 50 points!
x=-13
x=2
Answer:
Solution given:
5-2x=[tex]\sqrt{2x²+x-1}-x[/tex]
keep square root alone
5-2x+x=[tex]\sqrt{2x²+x-1}[/tex]
5-x=[tex]\sqrt{2x²+x-1}[/tex]
squaring both side
(5-x)²=2x²+x-1
25-10x+x²=2x²+x-1
2x²+x-1-25+10x-x²=0
x²+11x-26=0
doing middle term factorisation
for this
coefficient of first and last terms should be multiplied
here
1*26=26
factor product
26=2*13*1
remember that check the sigh of last term
in here it is - so
we need to get 11 by subtracting factor of 26
we get
13-2=11
keep 13-2 value in place of 11
x²+(13-2)x-26
now
distribute
x²+13x-2x-26=0
take common from each two term
x(x+13)-2(x+13)=0
(x+13)(x-2)=0
either
x=-13
or.x=2
Answer:
A and B
Step-by-step explanation:
we would like to solve the following equation:
[tex] \rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x[/tex]
to do so isolate -x to the left hand side and change its sign:
[tex] \rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 } [/tex]
simplify addition:
[tex] \rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 } [/tex]
square both sides:
[tex] \rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2} [/tex]
simplify square of the right hand side:
[tex] \rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1 [/tex]
use (a-b)²=a²-2ab+b² to expand the left hand side:
[tex] \rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1 [/tex]
swap the equation:
[tex] \rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25[/tex]
isolate the right hand side expression to the left hand side and change every sign:
[tex] \rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0[/tex]
simplify:
[tex] \rm\displaystyle {x}^{2} + 11x - 26= 0[/tex]
rewrite the middle term as 13x-2x:
[tex] \rm\displaystyle {x}^{2} + 13x - 2x - 26= 0[/tex]
factor out x:
[tex] \rm\displaystyle x({x}^{} + 13)- 2x - 26= 0[/tex]
factor out -2:
[tex] \rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0[/tex]
group:
[tex] \rm\displaystyle (x- 2)(x + 13)= 0[/tex]
by Zero product property we obtain:
[tex] \displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}[/tex]
solve for x:
[tex] \displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}[/tex]
to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore
[tex] \rm\displaystyle 5 - x \geq0[/tex]
solve the inequality for x:
[tex] \rm\displaystyle x \leqslant 5[/tex]
since 2 and -13 is less than 5 both solutions are valid for x hence,
[tex] \displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}[/tex]
and we're done!
1. Yes, AA~
2. These figures are not similar
3. Yes, SAS~
4. Yes, SSS~
Answer:
These figures are not similar
Step-by-step explanation:
The two sides are proportional, but the angle between them are not congruent.
One angle is marked with one arc.
The other is marked with two arcs.
They must have the same number or arcs to be considered congruent.
Tricky
I needa good place to start
Answer:41
Step-by-step explanation
trust
Which of the following represents the graph of the equation y = 1/2x?
Answer:
(B)
Step-by-step explanation:
Here's what we know about the equation:
- it's a positive equation
- the y-intercept is (0,0)
- the slope is 1/2
Because the equation is positive, this means the graph will increase up from left to right, so you can cross out answer choice A & D.
To find out if B or C has the right slope, you can either plug in points or use the rise/run method.
I'm going to use both methods to figure out which answer choice is correct:
Plug in points method:
Let's plug in the value 2 in to the equation y = 1/2x.
1/2 * 2 = 1
So at (1,2) the function should include that point.
Only B has (1,2), so that's your answer.
Rise/run method:
Rise/run is a method used to figure out the slope of a function or draw a function on a graph.
Rise corresponds to the numerator. In this case, 1.
Run corresponds to the denominator. In this case, 2.
We are going to start at (0,0) and go up 1 (rising 1 unit) and go 2 to the right (running 2 units). After this, we should arrive at a point on the graph.
Only answer choice B does this.
**Reminder: be careful, the each blue line on the graph ISN'T a whole number interval; it uses 1/2 intervals.
Hope that helps (●'◡'●)
En un grado pienzan diseñar targetas de cuidadores del ambiente para repartir en los comercios. cada una tendra una frase para concientizar, el nombre de la escuela y el grado. las targetas seran un cuadrado con 10 cm de lado. aqui tienes un papel de 30 cm de ancho x 30 cm de largo y un cuadrado de 10 cm x 10 cm. ¿Cuantos cuadrados crees que entran en la hoja? ¿cuantas tarjetas puedes hacer con la hoja?
Answer:
Entran 9 cuadrados en la hoja
Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.
Step-by-step explanation:
El area de la hoja sera:
[tex]A_{Hoja}=30*30=900 \:cm^{2}[/tex]
Ahora el area de cada tarjeta es:
[tex]A_{tarjeta}=10*10=100\: cm^{2}[/tex]
Para determinar cuantos tarjetas entran en la hoja debemos vidivir las aras encontradas arriba:
[tex]\frac{A_{Hoja}}{A_{tarjeta}}=\frac{900}{100}=9[/tex]
Entonces entran 9 cuadrados en la hoja
Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.
Espero te haya sido de ayuda!
If the range of the function g(x) =3x+2 is {2,5,11,17}, find the domain.
Answer:
(0,1,3,5)
Step-by-step explanation:
Set g(x) equal to each respective range and solve for x
[tex]3x + 2 = 2[/tex]
[tex]3x + 2 = 5[/tex]
[tex]3x + 2 = 11[/tex]
[tex]3x + 2 = 17[/tex]
If we solve for each, we get
[tex]x = 0[/tex]
[tex]x = 1[/tex]
[tex]x = 3[/tex]
[tex]x = 5[/tex]
So our domain is
(0,1,3,5)
How to answer this? A farmer had 455 ducks and chickens. He sold 2/5 of the ducks and bought another 104 chickens. As a result, the number of ducks is 2/3 the total number of animals in the end. (a)Find the number of chickens the farmer had at first. (b)Each duck is sold at a price of $28. How much did the farmer collect from the sale?
Answer:
(a) 25
(b) $4816
Step-by-step explanation:
Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.
Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d
After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c
Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a
The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a
Let's list our equations out so it is easier to solve:
d+c = 455
(3/5)d + 104 + c = a
(3/5)d = (2/3)a
We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.
Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get
(3/5)d + 104 + 455 - d = a
-(2/5)d + 559 = a
(3/5)d = (2/3)a
Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get
(9/10)d = a
Substitute that in to the second equation to get
-(2/5)d + 559 = (9/10) d
-(4/10)d + 559 = (9/10) d
add (4/10)d to both sides to isolate the variable and its coefficient
(13/10)d = 559
multiply both sides by (10/13) to isolate the coefficient
d = 430
Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25
For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price
Three measuring tapes are 10, 15 and 25 mlong. Find the shortest lenght which can be measured exactly by any one
Answer:4
Step-by-step explanation:
but they said it would have toend
Please Help Me!!!!!!!
Answer: b
Step-by-step explanation: death normally last 9 min and birth 9 sec
Si disponemos de 4 sillas y los simbolizamos por 4s y por otros lados tenemos 2 mesas los simbolizamos por 2m, al reducir los términos semejantes obtendremos lo siguiente.
a) 45
b) 2m
c) 45 - 2m
d) 45 + 2m
Students in Mrs. Burn's science class used scales to measure the mass, in grams, of a solid. The mass of
the solid was reported as 5.7 grams, 5.8 grams, 6.2 grams, 5.9 grams, and 6.0 grams. Of the following,
which measure would best estimate the true mass of the solid?
minimum
maximum
mode
mean
Answer:
Mean
Step-by-step explanation:
Finding the mean, or the average, of the different weights that were measured, would best estimate the true mass of the solid.
This would find the average mass, which would be the most accurate estimate of the solid's actual mass.
Using the minimum, maximum, and mode will not take into account the other weights that were measured. This makes it much more inaccurate.
So, the correct answer is Mean.
