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Elan Coil [88]
3 years ago
6

Three years from now Tom will be twice as old as Jean and two years ago the sum of their ages was 26. How old is Tom now?

Mathematics
1 answer:
Ber [7]3 years ago
8 0

Answer:

21

Step-by-step explanation:

Tom'age: a

Jean'age: b

3+a=2(b+3)

a-2+b-2=26

or

a =2b+3

2b+3-2+b-2=26

or

a=2b+3

3b=27

or

a=21

b=9

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Please help me quickly
hichkok12 [17]

Answer:

Convenience sampling

Step-by-step explanation:

5 0
3 years ago
Agustín fabrica artículos de cuero y los vende con un incremento del 8% de su costo. Si en su última campaña utilizó un cuero de
nadezda [96]

Answer:

El aumento del precio de costo único equivalente es un aumento del 20,96% en el precio de costo

Step-by-step explanation:

Los parámetros dados son;

El porcentaje de aumento en el precio de costo que Augustin vende artículos de cuero = 8%

El aumento adicional de Augustin se aplica cuando usó cuero de mayor calidad = 12%

Sea x el precio de costo

Tenemos, el primer precio de venta = 1.08 × x

El precio de venta del cuero de alta calidad = 12% adicional al precio de venta anterior

∴ El precio de venta del cuero de alta calidad = 1,12 × 1,08 × x = 1,2096 × x

Por lo tanto, el precio de venta del cuero de alta calidad = (1.2096 × 100)% de x = 120.96% de x, lo que da;

El aumento del precio de costo único equivalente = (120,96% - 100%) aumento en x = 20,96%

∴ El aumento del precio de costo único equivalente = 20,96% de aumento en el precio de costo.

6 0
3 years ago
What are the solutions to the following system?
bija089 [108]

The solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Solution:

Given equation:

-2 x^{2}+y=-5

Add 2 x^{2} on both sides.

-2 x^{2}+y+2 x^{2}=-5+2 x^{2}

y=-5+2 x^{2} -------- (1)

y=-3 x^{2}+5 (given)  -------- (2)

Equate (1) and (2).

-5+2 x^{2}=-3 x^{2}+5

Add 3 x^{2} on both sides.

-5+2 x^{2}+3 x^{2}=-3 x^{2}+5 +3 x^{2}

-5+5x^{2}=5

Add 5 on both sides.

-5+5x^{2}+5=5+5

5x^{2}=10

Divide by 5 on both sides, we get

x^{2}=2

Taking square root on both sides, we get

x=\sqrt{2}, x=-\sqrt{2}

Substitute x=\sqrt{2} in (1).

y=-5+2(\sqrt{2})^2

y=-5+4

y=-1

Substitute x=-\sqrt{2} in (1).

y=-5+2(-\sqrt{2})^2

y=-5+4

y=-1

Therefore the solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Option C is the correct answer.

6 0
3 years ago
Which statement is correct?
Andreyy89

Answer:

Correct statements:

Step-by-step explanation:

A line that rises from left to right has a positive slope.

A line that falls from right to left has a negative slope.

A horizontal line has no slope. (slope of 0)

4 0
3 years ago
D) A painting originally priced at $300 sold for $400. x 100 = % increase or decrease? In order from greatest to least:
Olenka [21]
(400-300)/300 x 100 = 100/300 x 100 = 33.33% increase
6 0
3 years ago
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