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mote1985 [20]
3 years ago
9

Ted needs an average of at least 70 on his three history tests. He has already scored 85 and 60 on two tests. What is the minimu

m grade Ted needs on his third test?
Mathematics
2 answers:
zaharov [31]3 years ago
7 0

Answer:

Minimum grade Ted needs on his third test is:

65

Step-by-step explanation:

Ted scored 85 and 60 on two tests.

Ted needs an average of at least 70 on his three history tests.

Let he scored x in third test

So,

\dfrac{85+60+x}{3}\geq  70

Multiplying both sides by 3, we get

85+60+x ≥ 70×3

145+x ≥ 210

subtracting both sides by 145, we get

x ≥ 65

Hence,  minimum grade Ted needs on his third test is:

65

taurus [48]3 years ago
6 0
To find the mean you must add up all the numbers and divide by how many there are:
35 + 60 + x
_________  =    70
        3

35 + 60 + x = 210

x = 65

He must score at least a 65 for a 70 average.
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Hope it helps!

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3 years ago
Para festeja su cumpleaños,Nancy compró 15 paquetes de pizzetas. Si cocinó 288 pizzetas, cuántos paquetes completos le quedaron?
Lorico [155]

Answer:

Nancy consumió 12 paquetes de pizzetas y le quedaron 3 paquetes completos.

Step-by-step explanation:

En primer lugar, debemos descomponer el número total de pizzas como una multiplicación de números primos. Al realizar la descomposición factorial tenemos que:

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Entonces, los familia de divisores de 288 es el siguiente conjunto:

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Si tanto la cantidad de paquetes de pizzetas y la cantidad cocinada de pizzetas son números enteros y positivos, siendo la última mucho mayor. Entonces, la cantidad de pizzetas debe ser un número entero y la cantidad de paquetes gastados menor a la cantidad de paquetes comprados y el número entero más cercano a esa cantidad. Entonces, concluimos que Nancy se gastó 12 paquetes de pizzetas, quedándole 3 paquetes completos.

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