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zalisa [80]
3 years ago
5

Jada was using square stickers with a side length of 3/434 inch to decorate the spine of a photo album. The spine is 10 1/21012

inches long. If she laid the stickers side by side without gaps or overlaps, how many stickers did she use to cover the length of the spine?
Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer: The number of stickers she used to cover the length of the spine = 14.

Step-by-step explanation:

Given: The length of spine = 10\dfrac12 inches  = \dfrac{21}{2} inches

Length of each sticker = \dfrac34 inch

If she laid the stickers side by side without gaps or overlaps, the number of stickers she use to cover the length of the spine = \text{(Length of spine)}\div (\text{Length of each sticker})

=\dfrac{21}{2}\div\dfrac{3}{4}\\\\=\dfrac{21}{2}\times\dfrac{4}{3}\\\\=\dfrac{7\times2}{1}=14

The number of stickers she used to cover the length of the spine = 14.

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The population of a city increases by 3.7% per year. If this year's population is 206,000, what will next year's population be,
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Answer:

206,762

Step-by-step explanation:

206,000 * 0.037 = 762.2

762.2 + 206,000 = 206,762.2, rounded to 206762

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Expand.<br> If necessary, combine like terms.<br> (3 + 4x) (3 - 4x)
shepuryov [24]
  • (3 + 4x) (3 - 4x)

We know the algebraic identity: (a - b)(a + b) = a^2 + b^2. Therefore, we should square 3 and 4x.

  • = (3)^2 - (4x)^2
  • 9 - 16x^2

<u>Answer</u><u>:</u>

<u>9</u><u> </u><u>-</u><u> </u><u>1</u><u>6</u><u>x</u><u>^</u><u>2</u>

Hope you could understand.

If you have any query, feel free to ask

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2 years ago
What time does the sun set mostly
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5 0
3 years ago
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Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:
inna [77]

Given

-2x-2y=8

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}

-Divide both sides by -2:

\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

\begin{gathered} -2x-2y \\ -2\cdot2-2\cdot(-6) \\ -4+12=8 \end{gathered}

As you can see the values are a valid solution for the linear equation.

So the solution is:

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6 0
1 year ago
Can someone pls help me answer this :/​
eimsori [14]

Answer:

y = - \frac{3}{2} x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

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Since the line crosses the y- axis at (0, 6) ⇒ b = 6

y = - \frac{3}{2} x + 6 ← equation of line

5 0
2 years ago
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