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Genrish500 [490]
3 years ago
15

Find the slope of the given line in the following graph.

Mathematics
1 answer:
andre [41]3 years ago
3 0

Take one point from the cartesian plane.

I am taking:

  • (5,-5)
  • x= 5
  • y= -5

\large \sf \frac{y}{x}

\large \sf  \cancel\frac{ - 5}{5}

\sf \: m =  - 1

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How many cubes with side lengths of 1/4 does it take to fill the prism?​
SCORPION-xisa [38]

Answer:

\large\boxed{224\ cubes}

Step-by-step explanation:

\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(2)\left(\dfrac{7}{4}\right)(1)=3.5\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{4}\right)^3=\dfrac{1}{64}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3.5}{\frac{1}{64}}=3.5\cdot64=224

\bold{METHOD\ 2}\\\\2cm:\dfrac{1}{4}cm=2\cdot4=8\\\\\dfrac{7}{4}cm:\dfrac{1}{4}cm=\dfrac{7}{4}\cdot\dfrac{4}{1}=7\\\\1cm:\dfrac{1}{4}cm=1\cdot4=4\\\\8\cdot7\cdot4=224\ (cubes)

4 0
4 years ago
Write the domain as an inequality​
Pavlova-9 [17]

Answer:

x\leq 0

Step-by-step explanation:

The domain is the span of x-values covered by the graph.

From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.

Therefore, the domain is all x-values less than or equal to 0:

x\leq 0

Further notes:

In interval notation, this is:

(-\infty,0]

4 0
3 years ago
Read 2 more answers
Molly opened a bank account. She deposited $86.50 into her account every month for 20 months. She used $24.50 every month to pay
harkovskaia [24]
First, let's multiply 86.50 by 20 since she deposited $86.50 each month for 20 months.

86.50 * 20 = $1,730

Now, we have to divide this by 24.50 * 20 to find how much out of her $1,730 that she used on singing lessons.

24.50 * 20 = $490

Subtract how much she used for singing lessons from her total amount.

1,730 - 490 = $1,240

Finally, we multiply the amount she has left by 1/4 to find out how much she spent on her summer camp. We can also do this by multiplying 1,240 by 0.25 since 0.25 = 1/4.

1,240 * 0.25 = $310

So, Molly spent $310.00 on her summer camp.
Hope this helped!
7 0
3 years ago
Read 2 more answers
A frction with fractions in either the numerator or the denominator or both called a??
makkiz [27]

Answer:

compound fraction

Step-by-step explanation:

When a “normal” fraction contains fractions in either the numerator or denominator or both, then we consider it to be a complex fraction. This type of fraction is also known as a compound fraction. There are two methods used to simplify such kind of fraction.

8 0
3 years ago
Are the triangles similar
Viefleur [7K]
No they are not similar. Hope this helps
4 0
3 years ago
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