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AnnyKZ [126]
3 years ago
5

Help with 4, 5, and 6, please!

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

4. -6

5. -5

6. 2

Step-by-step explanation:

4.

2x + 3 <= -9

2x <= -9 - 3

2x <= -12

= x <= -6

5.

3p + 4 > -11

3p > -11 -4

3p > -15

p > -5

6.

5x + 6 >= 16

5x >= 16 - 6

5x >= 10

x >= 2

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Caroline and Helen share a job in the ratio 3:2.
Simora [160]

Answer:

helen works 16 hours

Step-by-step explanation:

caroline = 3 which is 24 hours

24/3 = 8

1 = 8 hours

8 hours x 2 = 16 hours

7 0
3 years ago
Need help?? Plsss. Make sure to explain why is it that answer
Archy [21]

Remember, volume is length x width x height. (lxwxh)

5+3 inches is the apparent width. (8)

7+7 inches is the height. (14)

The length is seemingly difficult to solve, but it's easy when you get the hang of it.

You need to divide the toolbox into shapes you can find the volume for and then add it all together.

Let's take 14x5x(7+7). 980.

Now the other half. 16x3x(7+7). 672.

Add.

Volume is 1652 inches.

7 0
3 years ago
Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntes
yaroslaw [1]

Answer:

\frac{y^{2}}{25}-\frac{x^{2}}{3}=1

Step-by-step explanation:

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

centro: (0,0)

focos: (0,-\sqrt{28}),(0,\sqrt{28})

eje conjugado = 2\sqrt{3}

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1

de los focos podemos obtener que:

c=\sqrt{28}

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

b=\sqrt{3}

podemos utilizar la siguiente fórmula para obtener a:

c^{2}-a^{2}=b^{2}

si despejamos a en la ecuación obtenemos lo siguiente:

a=\sqrt{c^{2}-b^{2}}

ahora podemos sustituir los valores:

a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}

a=\sqrt{28-3}

a=\sqrt{25}

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1

\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1

\frac{y^{2}}{25}+\frac{x^{2}}{3}=1

si graficamos la hipérbola, queda como en el documento adjunto.

7 0
3 years ago
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seropon [69]

Answer:

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Step-by-step explanation:

8 0
3 years ago
-2 2/3 + (-9 4/5)= ?
Nataly [62]

Answer:

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<em>-</em><em>2</em><em>2</em><em>/</em><em>3</em><em> </em><em>+</em><em> </em><em>-</em><em>8</em><em>9</em><em>/</em><em>5</em>

Step-by-step explanation:

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<em>-</em><em>3</em><em>6</em><em>7</em><em>/</em><em>1</em><em>5</em>

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