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3 years ago

11

You borrow bookcases like the one shown to display 943 books at a book sale. You plan to put 22 books on each shelf. No books wi

ll be on top of the bookcases. A drawing of a bookcase, with 5 shelves.

1 answer:

NeX [460]3 years ago

4 0

Answer 110 books

Step-by-step explanation: 22X5=110

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Hey could you please help me? Thank you<br> No answers like "I don't know" or "febebfe"

fenix001 [56]

Answer:

2,4 and 7 do not form a triangle

Step-by-step explanation:

To form a triangle, knowing the 3 sides, then

The sum of any 2 sides must be greater than the third side

Consider 2, 4, 7

2 + 4 = 6 < 7

2 + 7 = 9 > 4

4 + 7 = 11 > 2

Since 2 + 4 < 7

Then these 3 sides would not form a triangle

8 0

3 years ago

Read 2 more answers

What is the inverse of y= 10^x +8?

shepuryov [24]

Answer:

$x = \log_{10}(y - 8)$ , where $y > 8$ .

Step-by-step explanation:

The question is asking for an expression for $x$ in terms of $y$ .

The first step is to move as many constants away from the side with $x$ as possible. In this question, that could be done by subtracting $8$ from both sides of the equation.

$y - 8 = 10^{x} + 8 - 8$ .

$y - 8 = 10^{x}$ .

Notice how $x$ is in the position of an exponent. Logarithms could help move $x$ out of that position.

For any base $b > 0$ :

$\log_{b} b^{x} = x\, \log_{b}\, b = x$ .

In this question, $10$ would be the base. That is: $b = 10$ .

Take the logarithm (with $10$ as the base) of both sides of the equation $y - 8 = 10^{x}$ :

Left-hand side: $\log_{10} (y - 8)$ .
Right-hand side: $\log_{10} \left(10^{x}\right) = x\, \log_{10}\left(10\right) = x$ .

Equate both sides to find an expression for $x$ :

$x = \log_{10}(y - 8)$ .

6 0

3 years ago

Angela drew Triangle ABC. She dilated Triangle ABC by a scale factor of 13 with the center of dilation at the origin. Then she t

ra1l [238]

Answer:

Triangle ABC is similar but not congruent to Triangle XYZ

Step-by-step explanation:

When you dilate the size changes but the angles are the same with makes them similar and since the size of the triangles are different they cannot be congruent.

5 0

3 years ago

An old house has a basement stairway that has steps with 7.25 inch vertical risers and 7 inch horizontal treads. What is the slo

svlad2 [7]

Answer:

1.04 inch

Step-by-step explanation:

Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.

Remember; horizontal treads is known as run in steps.

Now, calculating the slope of the stairways.

Formula: $Slope= \frac{Rise}{Run}$

Rise= 7.25 inch

Run= 7 inch.

Subtituting the value in the formula

Slope= $\frac{7.25}{7}= 1.0357 \approx 1.04$ (∵ Round to two decimal)

∴ Slope of stairways is 1.04.

4 0

3 years ago

Tank 1 initially contains 50 gals of water with 10 oz of salt in it, while tank 2 initially contains 20 gals of water with 15 oz

Naddik [55]

$\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$
$\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_2(t)\text{ oz}}{20\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$

$\implies\begin{cases}\dfrac{\mathrm dx_1}{\mathrm dt}=10-\dfrac1{10}x_1\\\\\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac1{10}x_1-\dfrac14x_2\\\\x_1(0)=10\\\\x_2(0)=15\end{cases}$

6 0

3 years ago