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3 years ago

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Seven times a number minus the number is -48. Find the number. In the form of a paragraph, explain in complete sentences the nex

t steps necessary to completely solve the equation for the unknown value. Include the final answer in your explanation.

1 answer:

ale4655 [162]3 years ago

6 0

Answer:-8

Step-by-step explanation:

I plugged in -8 for each and got -48.

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Is x=1 a solution to the equation 8x-2 =16-6x? How do u know

lesantik [10]

Answer:

8x-2=16-6x

No because 16-6x is 10

and 8-2 is 6

5 0

3 years ago

Patrick collected 192 seashells at the beach.He made five necklaces with an equal number of shells on each necklace.He used the

Goryan [66]

Answer:

I'm going to put the most shells possible on the necklaces this would be 38, 38x5=190, meaning that we have a remainder of 2.

2 shells would be on the magnet

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2 years ago

Use the Midpoint Rule with n = 10 to approximate the length of c(t) = (5 + sin(4t), 6 + sin(7t)) for 0 ≤ t ≤ 2π. (Round your ans

sukhopar [10]

Answer:

34.43

Step-by-step explanation:

A differential of length in terms of t will be ...

dL(t) = √(x'(t)^2 +y'(t)^2)

where ...

x'(t) = 4cos(4t)

y'(t) = 7cos(7t)

The length of c(t) will be the integral of this differential on the interval [0, 2π].

Dividing that interval into 10 equal pieces means each one has a width of (2π)/10 = π/5. The midpoint of pieces numbered 1 to 10 will be ...

(π/5)(n -1/2), so the area of the piece will be ...

sub-interval area ≈ (π/5)·dL((π/5)(n -1/2))

It is convenient to let a spreadsheet or graphing calculator do the function evaluation and summing of areas.

__

The attachment shows the curve c(t) whose length we are estimating (red), and the differential length function (blue) we are integrating. We use the function p(n) to compute the midpoint of the sub-interval. The sum of sub-interval areas is shown as 34.43.

The length of the curve is estimated to be 34.43.

8 0

2 years ago

A sphere has a volume of 4500pi cubic inches. find the surface area of the sphere.

MakcuM [25]

$V=\frac{4 \pi r^3}{3}\\
\\
4500\pi=\frac{4 \pi r^3}{3}\\
\\
13500 \pi=4 \pi r^3\\
\\
r^3=\frac{13500 \pi}{4 \pi}\\
\\
r^3=3375 \\
\\
\boxed{r=15 in}$

$S=4 \pi r^2\\
\\
S=4 \pi 15^2\\
\\
\boxed{S=900 \pi \ in^2}$

5 0

3 years ago

Read 2 more answers

For $360, a rock-climbing gym offers yearly membership where members can climb as many days as they want and pay $4 per day for

IRISSAK [1]

So, we have the two equations $4x+$360, and $10x+$6x. x represents how much members pay each day. The total number of visits when the cost for a member and nonmember is the same means we will have to set both equations equal to one another.
<span>$4x+$360=$10x+$6x </span>
<span>Combine like terms. </span>
<span>$4x+$360=$16x </span>
<span>Subtract $4x on both sides to balance out the equation. </span>
<span>$12x=$360 </span>
<span>Divide by $12.00 on each side. </span>
<span>x=30 visits </span>
<span>To check your work, plug in what x equals or 30 in the original equation. If you come up with a true statement, then you know your answer has to be correct. </span>
<span>4x+360=16x </span>
<span>4(30)+360=16(30) </span>
<span>120+360=480 </span>
<span>480=480 </span>
<span>Because this is a true statement, you can be certain that the total number of visits when the cost of a member and a nonmember will be the same is 30 visits. Hope I helped! Brainliest too please.</span>

4 0

3 years ago