Solve for X.

A. 10.96
B. 4.88
C. 0.04
D. 5.34

Answer:

Step 1 is wrong

Step-by-step explanation:

[tex] \frac{1}{4} r+ 2 = 10[/tex]

[tex] \frac{r}{4} + 2 = 10[/tex]

[tex] \frac{r}{4} = 10 - 2[/tex]

[tex] \frac{r}{4} = 8[/tex]

[tex]r = 8 \times 2[/tex]

[tex]r = 32[/tex]

9514 1404 393

Answer:

  (x, y) = (2, 3)

Step-by-step explanation:

The first step is to find the least common multiple of the denominators of each of the equations. If the denominators have no common factors, a reasonable choice is their product. Here, it works to start with the fractions that must be added, then compare the LCM found to the denominator on the right to see if any further factors must be included.

First equation:

  LCM = 3×4 = 12

  12(2x/3 -y/4) = 12(7/12) . . . . . multiply the equation by 12

 8x -3y = 7 . . . . . . . . . simplify

Second equation:

  LCM = 4×5 =20

  20(3x/4 -2y/5) = 20(3/10) . . . . multiply equation by 20

  15x -8y = 6 . . . . . . simplify

Solve by elimination

We can eliminate the y-variable by subtracting 3 times the second equation from 8 times the first:

  8(8x -3y) -3(15x -8y) = 8(7) -3(6)

  19x = 38 . . . . . simplify

  x = 2 . . . . . . . divide by 19

Substituting into the first equation gives ...

  8(2) -3y = 7

  3y = 9 . . . . . . add 3y-7

  y = 3 . . . . . divide by 3

The solution is ...

  (x, y) = (2, 3)

_____

There are many ways to solve such a system of equations. Using the LCM to eliminate fractions is one way to start. You can also do the arithmetic with the fractions intact, though most folks don't care to. In addition to the elimination method used here, you can use matrix or graphical methods, substitution, or any of the variations of Cramer's Rule.

Answer:

Step-by-step explanation:

9^2

=9*9

=81

15^2

=15*15

=225

(0.2)^2

=0.2 * 0.2

=0.04

(0.7)

=0.7

Answer:

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Rs 198

Step-by-step explanation:

Given:

Amount pay per hour = Rs 18

Shift time = 12 h  to 23 h

Find;

Number of hour work per shift

Amount paid for one shift

Computation:

Number of hour work per shift = 23:00 - 12:00

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Number of hour work per shift x Amount pay per hour

Amount paid for one shift = 11 x 18

Amount paid for one shift = Rs 198

Step-by-step explanation:

Maple calculator used.........................

Answer:

Step-by-step explanation:

[tex]f(x)={x^2\sqrt{1+x}\over{(1+x^2)^{3\over{2}}}}\\\\f^\prime (x)=\frac{{{(x^2\sqrt{1+x})^\prime (1+x^2)^{\frac{3}{2}}+ (x^2\sqrt{1+x})}((1+x^2)^{\frac{3}{2}}})^\prime}{((1+x^2)^\frac{3}{2})^2}}}[/tex]

[tex](x^2 \sqrt{1+x})^\prime=2x\sqrt{1+x}+ \frac{x^2}{2\sqrt{1+x}}[/tex]

[tex]((1+x^2)^{\frac{3}{2}})^\prime=\frac{3}{2}(1+x^2)^{\frac{1}{2}} (2x)=3x(1+x^2)^{\frac{1}{2}}[/tex]

[tex]f^\prime(x)=\frac{\{(1+x^2)^{\frac{3}{2}}\}(2x\sqrt{1+x}+\frac{x^2}{2\sqrt{1+x}})+(x^2 \sqrt{1+x})(3x\sqrt{1+x^2})}{(1+x^2)^{3}}}[/tex]

[tex]\sqrt{1+x^2}=\sqrt{(1+x)(1-x)}[/tex]

[tex]f^\prime (x)=x\sqrt{1+x}~\frac{(1+x^2)^{\frac{3}{2}}(2+\frac{x^2}{2(1+x)})+3x^2\sqrt{1-x}}{(1+x^2)^3}[/tex]

Answer:

n < 17

Step-by-step explanation:

2n-9<25

Add 9 to each side

2n-9+9<25+9

2n < 34

Divide each side by 2

2n/2 < 34/2

n < 17

Answer:

n < 17

Step-by-step explanation:

Move the constant to the right -hand side and change its sign

2n<25+9

Then add the numbers

2n < 34

Divide both sides of the inequality by 2

so that would be n<17

Answer:

12 gallons

Step-by-step explanation:

If each pitcher can hold only a third of one of her makings. Think about it. Just pour the glasses in your mind. She fills it up a little bit, and then keeps doing it until 12 are full. or how else to explain it or really explain it at all.

Step-by-step explanation:

obtuse angle is an angle whose measure is more than 90 degree but less than 180 degree..

So,

170°

Answer:

4 months

Step-by-step explanation:

Let x be the number of months

Dusty started at 2 lbs, and gains 1 lb every month

So we can make the equation

2+x=6

x=4

At 4 months, Dusty was 6 lbs

Answer:

I dont know for sure, but maybe try B

Step-by-step explanation:

Answer:

x = 10/11

Step-by-step explanation:

Your welcome! :)

Step-by-step explanation:

Hey there!

LHS

[tex] = \frac{ \cos(a) }{ \tan(a) } [/tex]

Use tan A = sin A/cosA

[tex] = \cos(a) \times \frac{ \cos(a) }{ \sin(a) } [/tex]

[tex] = \frac{ { \cos(a) }^{2} }{ \sin(a) } [/tex]

Then, Use formula cos²A = 1-sin²A and sinA = √(1-cos²A)

[tex] = \frac{1 - { \sin(a) }^{2} }{ \sqrt{ - { \cos(a) }^{2} } } [/tex]

Proved!

Hope it helps!

9514 1404 393

Answer:

  x = 64

Step-by-step explanation:

The two base angles in the isosceles obtuse triangle are equal, so are both 29°. The sum of these angles is 58°, which is the measure of the external acute angle at the upper left of the acute triangle.

The two base angles of the acute isosceles triangle are equal, so are both 58°. The angle marked x° has a measure that makes the sum of angles in that triangle be 180°.

  x° = 180° -2(58°)

  x° = 64°

Answer:

(4)

Step-by-step explanation:

element =4

frequency=1

cumulative frequency-=1

relative frequency=1

cumulative relative frequency=1

Answer:

$3000

Step-by-step explanation:

$2000×5/×30

$1000×3=$3000

The answers isssssssss

$300

:)

Answer:

Given in the graph

Step-by-step explanation:

Answer:

D. 45%

Step-by-step explanation:

there are 11 paintings and 9 paintbrushes, added together you have a total of 20 items. There are 9 paintbrushes and 20 items in total which is 9/20. 9/20 as a percentage is 45%

Answer:

Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:

80%:        Fijos  =  $169,000,000.00        Variables  =  $180,000,000.00

100%:        Fijos  =  $169,000,000.00        Variables  =  $225,000,000.00

Explicación:

Los costos totales de fabricación (CT) vienen dados por la suma de los costos fijos (CF) y los costos variables (CV), recordando que los costos fijos son aquellos en los que se incurre independientemente de que se esté operando o no; mientras que los costos variables son aquellos que dependen del nivel de actividad pues corresponden a consumibles en el proceso productivo.

En el caso estudio, se sabe que los costos variables de fabricación totalizan $180,000,000.00 al nivel de actividad de 80%. Ya que estos costos incrementan o disminuyen en relación con el nivel de actividad, planteamos una regla de tres simple para calcular los costos variables en los niveles de actividad 90% y 100%

Si al    80%    de actividad    ----------------    los CV son    $180,000,000.00

al    90%    de actividad        ----------------    los CV serán    x

x  =  [(90)(180,000,000.00)]/(80)  =  202,500,000.00

Los costos variables de fabricación al nivel de actividad de 90% son  $202,500,000.00

Si al    80%    de actividad    ----------------    los CV son    $180,000,000.00

al    100%    de actividad       ----------------    los CV serán    x

x  =  [(100)(180,000,000.00)]/(80)  =  225,000,000.00

Los costos variables de fabricación al nivel de actividad de 100% son  $225,000,000.00

Para conocer los costos fijos basta recordar que al nivel de actividad de 90% lo costos de fabricación totales son $371,500,000.00. Este monto es la suma de los costos fijos y los costos variables; así que:

CT  =  CV  +  CF             ⇒                CV  =  CT  -  CF          ⇒    

CV  =  371,500,000.00  -  202,500,000.00  =  169,000,000.00

Los costos fijos de fabricación son de $169,000,000.00

Conclusión:

Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:

80%:        Fijos  =  $169,000,000.00        Variables  =  $180,000,000.00

100%:        Fijos  =  $169,000,000.00        Variables  =  $225,000,000.00

Answer:

Step-by-step explanation:

first work what's in the brackets { 4 x 2 -10}^3

{4 x 2-1000}

4 x -998

Answer:

1/2 times 1/9

which equals 1/18

Step-by-step explanation:

5/10 equals 1/2 and /9 equals *1/9

Answer: i think its 1/9

Answer:

180 degree

Step-by-step explanation:

180 degee

......

......

.......

Answer:

P(N) = 5/14

Step-by-step explanation:

Find P(N) by finding the probability of getting a noisemaker.

There are 42 items in total, and 15 are noisemakers. Find the probability by dividing 15 by 42:

15/42

Simplify:

5/14

So, P(N) = 5/14

Answer:

Step-by-step explanation:

yes

Answer:

I don't know what your school is doing but what happened to me was that I just waited for the test to be unlocked and I was working from home so I was able to keep my phone and I didn't need to be in a meeting