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3 years ago

The perimeter of this rectangle is 156 cm.

Mathematics

1 answer:

erastova [34]3 years ago

5 0

Answer:

x = 15

Therefore, the length and width are 31 and 47.

Step-by-step explanation:

Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156

Simplified,

10x + 6 = 156

Subtract 6 from both sides, then divide by 10.

10x = 150

x = 15

To find the length and width, substitute 15 (the value of x) into the individual equations.

2(15) + 1 = 31

3(15) + 2 = 47

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Which two prime numbers' product is 226

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Answer:

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Step-by-step explanation:

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3 years ago

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3. Are these ratios equivalent? 35:28 and 10:8 *

attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

$\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}$

10:8

$\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}$

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

In this case, this will be true if 35 times 8 is equal to 10 times 28:

$\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}$

Since both products are equal, then the ratios are equivalent.

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1 year ago

Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.

Ganezh [65]

Answer:

Step-by-step explanation:

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3 years ago

I Inverse operation for 5t=60

Hitman42 [59]

I think the answer is 60/t = 5

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3 years ago

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Joaquin fue al mercado y compro 2,2 kg de papa a S/.1,2 soles el kilo y 3,2 kg de arroz a S/.3,7 soles el kilo, si pagó con un b

nlexa [21]

Responder:

5,52

Explicación paso a paso:

Dado lo siguiente:

Precio por kilo de papa = 1.2

Kg de papa comprada = 2.2kg

Precio por kilo de arroz = 3.7 por kilo

Kg de arroz comprado = 3.2 kg

Valor del boleto emitido para el pago = 20

Precio total de la papa:

Precio * kg comprado

1.2 * 2.2 = 2.64

Precio total del arroz:

Precio * kg comprado

3.7 * 3.2 = 11.84

Cantidad total gastada = (precio total del arroz + precio total de la papa)

2.64 + 11. 84 = 14.48

Cambio pendiente = 20 - 14.48 = 5.52

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3 years ago