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3 years ago

Divide 68 into two parts so that the larger number exeed the smaller one by 6

Mathematics

1 answer:

BaLLatris [955]3 years ago

6 0

Answer:

31, 37

Step-by-step explanation:

Let the smaller number be x

Therefore, longer number = x + 6

According to the given information:

x + x + 6 = 68

2x + 6 = 68

2x = 68 - 6

2x = 62

x = 62/2

x = 31

x + 6 = 31 + 6 = 37

Thus, the two parts of 68 are 31 and 37.

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F(x) = ax2 - 12, g(x) = 2x +3, and f(3) = 24. What<br> is the value of g(f(2)) ?

elixir [45]

<h2>Answer: g(f(2)) = 11</h2>

Step-by-step explanation:

g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).

We know that f (x) = ax² - 12

Since f(3) = 24

⇒ a(3²) - 12 = 24

9 a = 36

a = 4

∴ f(2) = (4)(2²) - 12

= 4

⇒ g(f(2)) = 2(4) + 3

= 11

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3 years ago

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3 years ago

Simplify this equation<br> -5x+7>22

Lana71 [14]

Answer:

Step-by-step explanation:

$- 5x + 7 > 22$

Move 7 to the other side of the inequality

$- 5x > 22 - 7 \\ - 5x > 15$

Divide both sides by - 5

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Reverse the sign

We have the final answer as

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4 0

3 years ago

A rectangular sign has length of 3 and 1/2 ft and a width of 1 and 1/8 ft. Will the area of the sign be greater or less than 3 a

zavuch27 [327]

Answer:

$Area = 3\dfrac{15}{16}\ sq\ ft$

Area is greater than $3\frac{1}{2}$ sq ft.

Step-by-step explanation:

Length of rectangular sign board = $3\frac{1}{2}$ ft

Width of rectangular sign board = $1\frac{1}{8}$ ft

Area of a rectangle is given by the formula:

$A = Length \times Width$

To find the area, we are going to multiply $3\frac{1}{2}$ with $1\frac{1}{8}$ .

$1\frac{1}{8}$ is greater than 1.

Therefore the multiplication will be greater than $3\frac{1}{2}$ .

Hence, we can say that area will be greater than $3\frac{1}{2}$ sq ft.

Area of the sign:

$A = 3\dfrac{1}{2}\times 1\dfrac{1}8\\\Rightarrow A = \dfrac{7}{2}\times \frac{9}8\\\Rightarrow A = \dfrac{63}{16}\\\Rightarrow A = 3\dfrac{15}{16}\ sq\ ft$

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3 years ago

Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would

kakasveta [241]

Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average

<h3>How to determine the number of cartons</h3>

From the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08

This means that:

The average carton or the expected value of eggs in the simulation is 1

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