PLEASE HELP FAST!!!!

Mathematics

1 answer:

maks197457 [2]3 years ago

6 0

Answer:

Step-by-step explanation:

use desmos.com

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How many packets of sweets each having a mass of 250g can be made from 4 1/2kg pack

NikAS [45]

First, convert kg to g >> 4.5kg*1000g/1kg = 4500g
then, divide by 250g >> 4500g/250g = 18

the answer is 18 packets

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3 years ago

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a total of 600 books were labelled A,B,C and D.Given that 1/4 of the book is labelled A and 3/10 of the book is labelled B.There

Marizza181 [45]

Answer:

255 is the answer........

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3 years ago

Evaluate log (0.3).<br> Round your answer to the nearest thousandth.

djverab [1.8K]

Answer:

-0.523

Step-by-step explanation:

log(a/b)=loga-logb

log (0.3) can be written as log (3/10).

=log(3/10)

=log3-log10

=0.477-1 (log3=0.477 and log10=1)

= -0.523

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3 years ago

If the sum of the legs of a right triangle is 49 inches and the hypotenuse is 41 inches, find the length of the other two sides

german

The length of one leg is x inches.
The sum of the legs is 49 inches, so the length of the other leg is 49-x inches.
The length of the hypotenuse is 41 inches.

Use the Pythagorean theorem:
$(\hbox{one leg})^2 + (\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\ x^2+(49-x)^2=41^2 \\
x^2+2401-98x+x^2=1681 \\
2x^2-98x+2401=1681 \ \ \ |-1681 \\
2x^2-98x+720=0 \\ \\
a=2 \\ b=-98 \\ c=720 \\ b^2-4ac=(-98)^2-4 \times 2 \times 720=9604-5760=3844 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-98) \pm \sqrt{3844}}{2 \times 2}=\frac{98 \pm 62}{4} \\
x=\frac{98-62}{4} \ \lor \ x=\frac{98+62}{4} \\
x=\frac{36}{4} \ \lor \ x=\frac{160}{4} \\
x=9 \ \lor \ x=40$

$
49-x=49-9 \ \lor \ 49-x=49-40 \\
49-x=40 \ \lor \ 49-x=9$

The lengths of the legs are 9 inches and 40 inches.

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4 years ago

You are dealt one card from a standard 52-card deck. find the probability of being dealt an ace or a 9

Mumz [18]

there are 4 aces and 4 9's for a total of 8 cards

there is a total of 52 cards

so 9/52 is the probability

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3 years ago