Jill earns $9.50 per hour for her regular work time and $10.50 per hour for her overtime. Last week, Jill worked 43 hours of regular time and 5 ½ hours of overtime. What amount, in dollars, did Jill earn last week.?

Answer:

36

Step-by-step explanation:

Respuesta:

1) (-5,2)

2) [tex](-\infty,-2]U(\frac{1}{2},\infty)[/tex]

Explicación paso a paso:

1)

[tex]x^{2}<10-3x[/tex]

Para comenzar este problema, debemos moverlo todo al lado izquierdo de la inecuación, por lo que obtenemos:

[tex]x^{2}+3x-10<0[/tex]

Ahora podemos factorizar el lado izquierdo para obtener:

[tex](x+5)(x-2)<0[/tex]

Ahora podemos cambiar el símbolo < por un = para encontrar los valores de x en los cuales la inecuación es igual a cero.

(x+5)(x-2)=0

Y luego despejamos x.

x+5=0

x=-5

y

x-2=0

x=2

Ahora construimos nuestros intervalos posibles.

[tex](-\infty,-5)[/tex]

(-5,2)

y

[tex](2,\infty)[/tex]

Y escogemos algunos valores de prueba. Estos nos ayudarán a determinar si cada intervalo hace que la inecuación sea verdadera o falsa.

[tex](-\infty,-5)[/tex]

Para este intervalo escojamos -6 y evaluemoslo en la inecuación.

(x+5)(x-2)<0

(-6+5)(-6-2)<0

(-1)(-8)<0

8<0

falso, así que este intervalo no es parte de nuestra respuesta.

(-5,2)

para este escojamos x=0 y probémoslo en la inecuación.

(x+5)(x-2)<0

(0+5)(0-2)<0

(5)(-2)<0

-10<0

verdadero, así que este intervalo es parte de nuestra respuesta.

[tex](2,\infty)[/tex]

Para este escojamos 3 y probémoslo en unestra inecuación.

(x+5)(x-2)<0

(3+5)(3-2)<0

(8)(1)<0

8<0

falso, así que este intervalo no es parte de nuestra respuesta.

así que nuestra respuesta es:  (-5,2)

Vea imagen adjunta para representación gráfica.

2)

[tex]2x^{2}+3x\geq2[/tex]

Para resolver este problema, comenzamos moviéndolo todo al lado izquierdo de la inecuación.

[tex]2x^{2}+3x-2\geq0[/tex]

Ahora podemos factorizar el lado izquierdo de la inecuación para obtener:

[tex](2x-1)(x+2)\geq0[/tex]

Ahora podemos cambién el símbolo ≥ por un símbolop de = para obtener los valores de x que hacen que la inecuación sea igual a 0.

(2x-1)(x+2)=0

y ahora despejamos x.

2x-1=0

[tex]x=\frac{1}{2}[/tex]

y

x+2=0

x=-2

Ahora construimos nuestros intervalos posible.

[tex](-\infty,-2][/tex]

[tex][-2,\frac{1}{2}][/tex]

y

[tex][\frac{1}{2},\infty)[/tex]

Ahora escogemos los valores de prueba correspondientes.

[tex](-\infty,-2][/tex]

para este, escojamos -3 y probémoslo en la inecuación.

[tex](2x-1)(x+2)\geq0[/tex]

[tex](2(-3)-1)(-3+2)\geq0[/tex]

[tex](-7)(-1)\geq0[/tex]

[tex]7\geq0[/tex]

verdadero, así que este intervalo es parte de nuestra respuesta.

[tex][-2,\frac{1}{2}][/tex]

para este, utilicemos 0 como valor de prueba.

[tex](2x-1)(x+2)\geq0[/tex]

[tex](2(0)-1)(0+2)\geq0[/tex]

[tex](-1)(2)\geq0[/tex]

[tex]-2\geq0[/tex]

falso, así que este intervalo no es parte de nuestra respuesta.

[tex][\frac{1}{2},\infty)[/tex]

para este, utilicemos 1 como valor de prueba.

[tex](2x-1)(x+2)\geq0[/tex]

[tex](2(1)-1)(1+2)\geq0[/tex]

[tex](1)(3)\geq0[/tex]

[tex]3\geq0[/tex]

verdadero, así que este intervalo es parte de nuestra respuesta.

Así que nuestra respuesta es la unión entre los dos intervalos que resultaron verdadero, por lo que nuestra respuesta es:

[tex](-\infty,-2]U[\frac{1}{2},\infty)[/tex]

Vea la representación gráfica en la imagen adjunta.

Answer:

? where's the question

Step-by-step explanation:

Answer:I think it’s

-x(x-10)(x-7)

Step-by-step explanation:

Answer:

The triangles pictured are similar (SSS), that is the corresponding sides are in the same ratio. Hence the matching angles are the same. For any right-angled triangle similar to triangle ABC, the ratio of the matching sides will be the same.

Answer:

hi

Step-by-step explanation:

18x-6-x+1+3x-1+x=8x-6

x+3x+x-8x= -6-1+1

-3x=-6

x=2

Perimeter is 8x-6=10

QP= x+1=3

PR=3x-1=5

3+5=8

10-8=2

QR=2

QR=4x-6=4×2-6=8-6=2

have a nice day

Volume without holes = 3 x 6 x 11 = 198 cubic inches.

Calculate volume of one hole:

3.14 x 0.5^2 x 3 = 2.355 cubic inches

There are 3 holes: 3 x 2.355 = 7.065

Subtract volume of the holes from the brick:

198 - 7.065 = 190.935 cubic inches.

Rounded to the nearest tenth: 190.9 cubic inches.

Answer:

190.9 inches^3

Step-by-step explanation:

First of all we have to find the total volume:

V = dimension 1 x dimension 2 x dimension 3

V = 3 x 6 x 11 = 198 inches^3

now we have to find the volume of the cylinders:

V= radius^2 x pi x height = 0.5^2 x 3.14 x 3 = 2.355 inches^3

the cylinders are three so:

V = 2.355 x 3 = 7.065 inches^3

at least we have to subtract this value at the total volume:

V= 198 - 7.065 = 190.935 = 190.9 inches^3

Answer:

it is 2013.97849462

Step-by-step explanation: hope this helps :)

Answer:

4

Step-by-step explanation:

If the slope is 0, the line is horizontal and the y-coordinate is 4 for all x values.

Thus the missing y-coordinate is 4.

Answer:

3:4

hahahahahaaaahahahahahahahahaha

Answer:

96

Step-by-step explanation:

convert 60% to decimal=0.6

0.6x160=96 (you'll need a calc)

not sure abt my answer but its probably 96

The situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

percentage, a relative value indicating hundredth parts of any quantity.

The ratio between the value after 1 year and the value after 0 years is 18,000/20,000 = 0.9.

The ratio between the value after 2 years and the value after 1 year is 16,200/18,000 = 0.9.

The ratio between the value after 3 years and the value after 2 years is 14,580/16,200 = 0.9.

Since the ratio between consecutive values is constant and less than 1, we can conclude that the situation can be modeled by an exponential decay function.

r = (18,000/20,000) - 1 = -0.1

So the percent change per year is -10%, which means that statement A is true.

Hence, the situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

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Answer:

The area of this circle is 50.27

Step-by-step explanation:

The area of this circle is 50.3 units² or 16π

The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.

The area of the circle is the product of the pie and the square of the radius.

The area of the circle = πr²

We are given that radius of the circle as r = 4.

Then we know that

Area = πr²

Substitute the values r = 4

π = 3.14

Area = 3.14(4)²

Area = 3.14 × 16

Area = 50.3

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9514 1404 393

Answer:

  more than half are being used

Step-by-step explanation:

Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.

The 1 first-class carriage has usage of ...

  (3/8)(64 seats) = 24 seats.

The 6 standard carriages have usage of ...

  (7/13)(6 · 78 seats) = 252 seats.

The total number of seats used is ...

  24 + 252 = 276 . . . . seats used

__

The total number of seats on the train is ...

  1·64 +6·78 = 532 . . . . seats on the train

Half of the seats on the train will be ...

  532/2 = 266 seats . . . . half the seats

The 276 used seats are more than half of the total number. More than half the seats are being used.

_____

Alternate solution

Another way to look at this is to compare utilization to 1/2 in each carriage class.

  In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.

  In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.

This number is 10 more than the 8 under-utilized seats in first class, so more than half the train seats are being used.

Its the first answer

Answer:

it would be (10)- (4)

Step-by-step explanation:

The expression for the volume of the shaded part of the sphere is (4/3)π(10)³, or 4,188.7902 cubic feet.

Diameter is a straight line passing through the centre of a circle or other safe, or the length of first as millimetre centimetre inches and feet.

here, we have,

The expression that represents the volume of the shaded part of the sphere is (4/3)πr³,

where r is the radius of the sphere,

which is 10 feet (1/2 the diameter).

Therefore, the expression for the volume of the shaded part of the sphere is

(4/3)π(10)³,

or 4,188.7902 cubic feet.

Hence, The expression for the volume of the shaded part of the sphere is (4/3)π(10)³, or 4,188.7902 cubic feet.

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Answer:

24 ft^2

Step-by-step explanation:

The small aquarium:

1 * 3 * 2 = 6 ft^2

The large aquarium

(1 + 1) * (3 + 2) * (2 + 1)

2 * 5 * 3 = 30 ft^2

Difference between the larger aquarium and the smaller aquarium:

30 - 6, or 24.

This means that the answer to this question is a, 24 ft^2

Answer:

97/100 meters

Step-by-step explanation:

here's the link

=> the measure of first board = 47/100 meters

=> the measure of second board = 5/10 meters

=> total length = 47/100 + 5/10

=> length = (47+50)/100

=> length = 97/100 meters

hope it helps

Answer:

-7 minus -2 = -5 (the last one)

Step-by-step explanation:

Thats the only one that made sense to me

Answer:

hi kenma its toga i think the other yooman is correct

Step-by-step explanation:

Answer:

1. 14ftx23ft=322ft

2. 26inX18in= 468in

Step-by-step explanation:

Answer:

THE SUM OF TWO NUMBERS =18

DIFFERENCE WHEN SECOND NUMBER IS SUBTRACTED TO THE FIRST NUMBER=2

OTHER NUMBER =20

BECAUSE DIFFERENCE WHEN SECOND NUMBER IS SUBTRACTED TO THE FIRST NUMBER IS 2...

EASY..

Step-by-step explanation:

HOPE JT HELPS THANK YOU

Answer:

1.33

Step-by-step explanation:

if you re-arrange the position of the first triangle and divide the

corresponding sides you'll get 1.33

Answer:

The scale factor is the ratio of corresponding sides:

Correct choice is D

---------------------------------------

Angles B with A are complementary, so as angles F with D

15 + 75 = 90

The triangles are similar by AA

---------------------------------------

The missing angle E:

The corresponding angle B is not congruent with E:

The triangles are not similar

Answer:

62

Step-by-step explanation:

8+(6*9)

8+54

62

8 + 6 x 9 = 62

hope this helps

Answer:

Yes you are correct good job:D

Step-by-step explanation:

Answer:

i think it is 60 cm2

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

3 x 10 with a tiny three

10 x tiny3 = 30

30 x normal 3 = 90

Answer:

1. 48$

2. 72$

3. Positive

4. Every 5 hours, his earnings increase by 24$.

Step-by-step explanation:

All information gathered is from looking at the graph :)

Answer:

C delta notation change in y over chance in x