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zysi [14]
4 years ago
14

Now consider just the second sentence of the multistep word problem. Sentence 2: If four times the brother's age is subtracted f

rom three times the sister's age, the difference is 40. Give an equation that represents this statement using b as the age of the brother and s as the age of the sister. Express your answer in terms of s and b.
Mathematics
1 answer:
Natalka [10]4 years ago
8 0

Answer:

4b - 3s = 40

4b = 40 + 3s

b = 40 - 3s/4

4b - 3s = 40

4b - 40 =3s

4b - 40 /3 = s

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It is 0.

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A circle has a diameter of 14.5cm
Alenkasestr [34]
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Write an expression describing all the angles that are coterminal with 266°
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2 years ago
HELP
zepelin [54]

Answer:

-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2

Step-by-step explanation:

From smallest to largest:

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8 0
3 years ago
Find n for the sequence for which a1 = 30, d = -4 and sn= -210.
REY [17]

n\in\mathbb{N^+}

The formula of the sum of an arithmetic sequence:

S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n

We have:

a_1=30;\ d=-4;\ S_n=-210

substitute:

\dfrac{2\cdot30+(n-1)(-4)}{2}\cdot n=-210\ \ \ |\cdot2\\\\(60-4n+4)n=-420\\\\(64-4n)n=-420\\\\64n-4n^2=-420\ \ \ |:(-4)\\\\n^2-16n=105\ \ \ |-105\\\\n^2-16n-105=0\\\\n^2+5n-21n-105=0\\\\n(n+5)-21(n+5)=0\\\\(n+5)(n-21)+0\iff n+5=0\ \vee\ n-21=0\\\\n=-5\notin\mathbb{N^+}\ \vee\ n=21\in\mathbb{N^+}

Answer: b. 21

3 0
4 years ago
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