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mojhsa [17]
3 years ago
10

Steel is formed by combining masses of carbon and iron in the ratio 1:49. How many pounds of iron would it take to create 10 pou

nds of steel?
A)0.49
B)0.48
C)4.9
D)9.8
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

9.8

Step-by-step explanation:

1:49= ratio of carbon to to iron

1+49= steel

50=10pounds

49=?pounds

49 * 10/50

=49/5

=9.8pounds

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Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Fill in the miss
mario62 [17]

Answer:

We conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

  • \frac{ad+cb}{bd}       ∵ b≠0, d≠0, so bd≠0

Step-by-step explanation:

Let a, b, c, and d are integers.

Let a/b and c/d are two rational numbers and b≠0, d≠0

Proving that the sum of two rational numbers is rational.

\frac{a}{b}+\frac{c}{d}

As the least common multiplier of b, d: bd

Adjusting fractions based on the LCM

\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

          =\frac{ad+cb}{bd}

As b≠0, d≠0, so bd≠0

Therefore, we conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

  • \frac{ad+cb}{bd}       ∵ b≠0, d≠0, so bd≠0
3 0
3 years ago
HELP!! Am lost with this and is due pretty soon!
Afina-wow [57]

Answer:

∠FJG= 135

Step-by-step explanation:

∠FJG + ∠GJH = 168 so

(6x - 15) + (x + 8) = 168

7x - 7 = 168

7x = 175

x = 25

plug it in ∠FJG

6(25) - 15 = 135

4 0
3 years ago
A ladder leans against a 22-feet-tall apple tree. The base of the ladder forms a 42° angle with the ground. Approximately how ta
igomit [66]

(D) 33 feet

<u>Explanation:</u>

Given:

Height of the tree, h = 22 feet

angle, θ = 42°

Length of the ladder, l = ?

We know:

sin θ = Perpendicular / hypotenuse

So,

Sin θ = height of the tree / length of the ladder

sin 42^0 = \frac{22}{l} \\\\0.67 = \frac{22}{l} \\\\l = 32.84 feet

l = 32.84 feet ≈ 33 feet

Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.

6 0
3 years ago
Pls help if you only know the correct answer! Thanks! :)
FromTheMoon [43]
Yes yes yes yes yes yes yes that is the makers Ik the answer it’s easy do you need help if so tell me
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2 years ago
Fernando has 15 favorite books. If 4/5 of the books are spy novels, how many of Fernando’s favorite books are spy novels?
Andreyy89

Answer:

12.8 so answer 12 or 13

Step-by-step explanation:

15÷5/8= 12.8

8 0
3 years ago
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