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3 years ago

Solve the equation 2x=5(7-x)

2 answers:

5 0

$2x=5(7-x)\\\\2x=5\cdot7-5\cdot x\\\\2x=35-5x\ \ \ |add\ 5x\ to\ both\ sides\\\\7x=35\ \ \ \ |divide\ both\ sides\ by\ 7\\\\\boxed{x=5}$

sergejj [24]3 years ago

3 0

Hello ; 2x = 35-5x ... 2x + 5x = 35 ... 7x = 35 ... x = 35/7 ... x = 5 .

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Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?

malfutka [58]

$\begin{gathered} \text{The simplification of n}^2+3n+2n\text{ is:} \\ i)n^2+5n \\ By\text{ collecting common term, this can be written in form of:} \\ ii)\text{ n(n+5)} \end{gathered}$

Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

$\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}$ $\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}$ $\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}$ $\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}$

Hence, the correct options that apply are options A, D, E and F

7 0

1 year ago

I have a roof that measures 175 ft by 45 ft. During the hurricane 11 inches of rain fell.

Nikolay [14]

Answer:

4.1 billion

Step-by-step explanation:

1 ft = 30.48 cm

1 in = 2.54 cm

The volume of rain that fell on the roof is given by ...

V = LWH

V = (175 ft × 30.48 cm/ft)(45 ft × 30.48 cm/ft)(11 in × 2.54 cm/in)

= 175×45×11×30.48²×2.54 cm³ = 204,412,236.336 cm³

At 20 drops per cm³, this will be ...

20×204,412,236.336 ≈ 4,088,244,727 . . . . raindrops

About 4.1 billion raindrops fell on your roof.

5 0

3 years ago

There 22,869 children,49,563 men and 2,872 more women than men st the fair.how many people were at the fair?

AfilCa [17]

There are 2872 more women than men
49563 + 2872 = 52435
52435 + 22869 = 75304

75304.in all

hope this helps

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4 years ago

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What is the measure of

Lubov Fominskaja [6]

60.......................

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2 years ago

Hat is the product of 4.01 × 10-5 and 2.56 ×108?

ASHA 777 [7]

Answer:

35.1 and 276.48

Step-by-step explanation:

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3 years ago

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