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3 years ago

Simplify. x + (7 + 14 x )

Mathematics

2 answers:

blagie [28]3 years ago

8 0

$x+7+14x$ Take off the parenthesis

$15x+7$ Combine Terms

<u><em>*(Answer)*=</em></u> $15+7$

Hope this helps

BangtanBoyScouts

ludmilkaskok [199]3 years ago

5 0

Its 15x+7
hoped I helped

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Which expressions are equivalent to 5p+3p+(-9)5p+3p+(−9)5, p, plus, 3, p, plus, (, minus, 9, )? Choose all answers that apply:

Lemur [1.5K]

Answer:

Option B.

Step-by-step explanation:

The given expression is

$5p+3p+(-9)$

We need to find an expression which is equivalent to the given expression.

Combine like terms.

$(5p+3p)-9$

$8p-9$

The simplified form of given expression is 8p-9. So, option A is incorrect.

In option B, the given expression

$3(p+(-3))+5p$

$3(p-3)+5p$

Using distributive property, we get

$3p-9+5p$

Combined liker terms.

$(5p+3p)-9$

$8p-9$

It is same as the simplified form of given expression.

Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.

7 0

3 years ago

Read 2 more answers

The surface area of a rectangular prism is 32 square inches. The volume of the prism is 12 cubic inches. The sum of all edge len

Goryan [66]

Answer:

36 cubic inches.

Step-by-step explanation:

Let the length, width and height of the rectangular prism are a, b, c respectively.

So, surface area, 2(ab + bc + ca) = 32 {Given} ............ (1)

Volume, abc = 12 {Given} ............ (2)

And, the sum of all the edges, 4(a + b + c) = 28 {Given} .......... (3)

Now, if the length width and height are increased by 1 inch, then the volume of the prism will be = (a + 1)(b + 1)(c + 1)

= abc + (ab + bc + ca) + (a + b + c) + 1

= 12 + 16 + 7 + 1 {From equations (1), (2) and (3)}

= 36 cubic inches. (Answer)

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3 years ago

2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a

Mariulka [41]

Answer:

$0.225 \Omega =225 m\Omega$

Step-by-step explanation:

We know (Ohm second law) that $R= \frac{k}{d^2}$ where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= $0.4\cdot9 \Omega mm^2$ . The moment the diameter becomes 8mm R becomes

$R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega$

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3 years ago

Graph a line with a slope of -5 that contains the point -3,-4

guapka [62]

Answer:

The equation of the line is 5x + y + 19 = 0

Step-by-step explanation:

The equation of the line with slope 'm' and given a point (x₁, y₁) passing through it we use the Slope - one - point form which is given by:

y - y₁ = m(x - x₁)

The point given is: (-3, -4) and the slope is -5.

We get the equation of the line to be:

y - (-4) = -5(x - (-3))

⇒ y + 4 = -5(x + 3)

⇒ y + 4 = -5x - 15

⇒ 5x + y + 19 = 0. is the required equation of the line.

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3 years ago

Express the area A of a circle as a function of its radius, r. Determine the area of a circle whose radius is 11 inches. That

nekit [7.7K]

<h2>Answer with explanation:</h2>

The function represents the area of a circle(A) is given by :-

$A(r)=2\pi r$

To determine the area of a circle whose radius is 11 inches. , we put the value of r=11 inches, we get

$A(11)=2\pi (11)$

Now, we put $\pi=\dfrac{22}{7}$ in the above function , we get

$A(11)=2(\dfrac{22}{7} )(11)\\\\\Rightarrow\ A=56.5714285714\approx56.57$

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3 years ago