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telo118 [61]
3 years ago
10

Sam and Amanda are brother and sister. Sam has twice as many brothers as sisters, and Amanda has five times as many brothers as

sisters. How many boys and girls are there in this family?
Mathematics
1 answer:
jonny [76]3 years ago
5 0

Answer:Boys=5,girls =2

Step-by-step explanation:

Let b be the no of boys and g be the no of girls

Therefore

Sam has twice as many brothers as sisters

2g=b-1

b-2g=1--------------1

Amanda has five times as many brothers as sisters

5(g-1)=b

5g-b=5----------------2

using (1) & (2) we get

g=2

b=5

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Which of the following functions could be f(x) ?
notka56 [123]

Answer:

B.  f(x) = -x^3 - x^2 + 7x - 4

Step-by-step explanation:

For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.

For each of these equations, we will simply take the terms with the highest power and consider those.  The two cases we need to consider is + infinite for x and - infinite for x.  Let's check each of these equations.

Note, any value raised to an even power will be positive.  Any negative value raised to an odd power will be negative.

<u>[A] - x^4</u>

<em>When x is +∞ --> - (∞)^4 -->  f(x) is -∞</em>

<em>When x is -∞ --> - (-∞)^4 --> f(x) is -∞</em>

<em />

<u>[B] - x^3</u>

<em>When x is +∞ --> - (∞)^3 --> f(x) is -∞</em>

<em>When x is -∞ --> - (-∞)^3 --> f(x) is ∞</em>

<em />

<u>[C] 2x^5</u>

<em>When x is +∞ --> 2(∞)^5 --> f(x) is ∞</em>

<em>When x is -∞ --> 2(-∞)^5 --> f(x) is -∞</em>

<em />

<u>[D] x^4</u>

<em>When x is +∞ --> (∞)^4 --> f(x) is ∞</em>

<em>When x is -∞ --> (-∞)^4 --> f(x) is ∞</em>

<em />

Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).

Cheers.

8 0
3 years ago
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the
Firdavs [7]

Answer:

\boxed{\frac{23}{3} ~in} or \boxed{7,7~in}

.

Step-by-step explanation:

Suppose, the first side is a, the second side is b, and the third side is c. So:

→ a = s - 4

→ b = s

→ c = (s - 4) + 3

→ a + b + c = 15

First step, find the value of s

a + b + c = 15

(s - 4) + s + (s - 4) + 3 = 15

3s - 5 = 15

3s = 15 + 5

3s = 20

s = \frac{20}{3}

So, the third side is

c = (s - 3) + 4

c = s + 1

c = \frac{20}{3} + 1

c = \frac{23}{3}

.

Happy to help :)

5 0
3 years ago
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PLEASE HELP QUICK!<br> √9=?
Vlad [161]

Answer:

the answer is three(3)..use calculator

6 0
3 years ago
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ElenaW [278]
I think it's 4, 2, 3, 1
6 0
3 years ago
Mitra created a mosaic design using square 2x2 cm white tiles and 2x3 cm rectangular centimeter black tiles. She used twice as m
zvonat [6]

Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of white tiles and y represent the number of black tiles.

Area of white tiles = 2 cm * 2 cm = 4 cm²

Area of black tiles = 2 cm * 3 cm = 6 cm²

She used twice as many white tiles as black tiles. Hence:

x = 2y   (1)

Also, the finished pattern was 1092 square centimeters in area. Hence:

4x + 6y = 1092   (2)

From both equations:

x = 156, y = 78

Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
2 years ago
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