Rewrite the expression by using grouping symbols.

Un padre tiene actualmente cuatro veces la edad de su hijo. Cuando pasen 5 años, su edad será solo tres veces superior. ¿Qué eda

julsineya [31]

Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

Sea la edad del padre P.
Sea la edad del hijo h.

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

4 0

2 years ago

Please help im so confused

slava [35]

Answer:

$\text{1. }50^{\circ}\\\text{2. }80^{\circ}$

Step-by-step explanation:

1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to $\frac{100}{2}=\boxed{50^{\circ}}$ .

2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to $\boxed{80^{\circ}}$ .

3 0

2 years ago

Gia opened two savings accounts at two diffrent banks. One account earns an annual 3.4% simple interest, and the other earns hal

dsp73

Interest from first account is :

$I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918$

Interest form second account is :

$I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959$

So, total interest is :

$I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877$

Therefore, total interest is $77.877 .

5 0

2 years ago

A piece of wood weighing 10 ounces is found to have of 8 ounces after drying . The moisture content was

ollegr [7]

20%, I believe. The piece of wood lost 2 ounces of moisture after drying, and 2/10 = 20/100

8 0

3 years ago

Rewrite the expression in the form z^n

olga55 [171]

Answer:

${z}^{ \frac{1}{2} }$

Step-by-step explanation:

$\huge \sqrt[5]{ {z}^{4} {z}^{ - \frac{3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{4 - \frac{3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{ \frac{8 - 3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{ \frac{5}{2} } } \\ \\ = \huge {z}^{ \frac{5}{2} \times \frac{1}{5} } \\ \\ = \huge {z}^{ \frac{1}{2} }$

3 0

2 years ago