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3 years ago

Given the equation 2 square root x-5=2 solve for x and identify if it is an extraneous solution

Mathematics

2 answers:

umka2103 [35]3 years ago

7 0

<span>2√(x-5) = 2
</span><span>√(x-5) = 1
</span>x-5 = 1
x=6(I don't know what extraneous solution means though)

liraira [26]3 years ago

7 0

Answer: 2√(x-5) = 2

√(x-5) = 1

x-5 = 1

x=6 solution is not extraneous!

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3 years ago

Seven less than the product of three and a number c. Write as an expression

kobusy [5.1K]

(3*c)-7
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3 years ago

Among 64 students, 28 of them like Science, 41 like Mathematics and 20 like

den301095 [7]

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3 years ago

Read 2 more answers

Determine the sum of the terms in the series 25 + 30 + 35 + ⋯ + 245. Show your work.

scoray [572]

Answer:

6075

Step-by-step explanation:

Given series is: 25 + 30 + 35 + ⋯ + 245.

Here, first term (a) = 25
Common difference (d) = 5
Last term $(a_n) = 245$

First we find the number of terms that this series has by the following formula:

$a_n = a+(n-1)d$

Plugging the values of a, d and $a_n$ , we find.

$245 = 25+(n-1)5$

$\implies 245 - 25=(n-1)5$

$\implies 220=(n-1)5$

$\implies \frac{220}{5}=n-1$

$\implies 44=n-1$

$\implies 44+1=n$

$\implies\red{\bold{ n=45}}$

Thus, the given series contains 45 terms.

Next, we find the sum of the given series using the formula given below.

$S_n = \frac{n}{2}(a+a_n)$

$\implies S_{45}= \frac{45}{2}(25+245)$

$\implies S_{45}= \frac{45}{2}(270)$

$\implies S_{45}=45*135$

$\implies\orange{\boxed{\boxed{\boxed{\bold{ S_{45}=6075}}}}}$

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2 years ago

There are 24 boys and 16 grils on a playground. What is the ratio of boys tototal number of children on the playground

tatuchka [14]

Answer:

24:40 or 3:5

Step-by-step explanation:

Boys: 24

All children: 24 + 16 = 40

Boys to total amount of children: 24:40

Simplify: 24:40 = 3:5

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3 years ago