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2 years ago

What are the pattern for the following numbers, 27, 18, 12, 8?

2 answers:

7 0

<span>Each number is being divided 1.5 the previous one.

</span>8 ÷ 1.5 = 12

12 ÷ 1.5 = 18

18 ÷ 1.5 = 27

Hope I Helped!!

vodka [1.7K]2 years ago

3 0

Each is divided by 1.5

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Tom takes two walks every day, one in the morning and one in the evening, and walks for a total of 5 ¼ hours in a 7-day week If

exis [7]

Answer:

30 minutes each evening

Step-by-step explanation:

5.25 / 7 = 0.75 hours each day = 45 minutes

45 - 15 = 30 minutes

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3 years ago

Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. (N

prisoha [69]

Answer:

The solution to this system of equations is:

B = 28
T = 19

Step-by-step explanation:

We are given that Jill has 47 bugs and counts a total 320 legs.

We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.

$\text{tarantulas + butterflies} = 47$

We are also told that T is tarantulas and B is butterflies.

$T + B = 47$

Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:

$6B + 8T = 320$

Now, we can set up a system of equation.

$\displaystyle \left \{ {{B + T = 47} \atop {6B + 8T = 320}} \right.$

Using the first equation, we can solve for B.

$\displaystyle B + T = 47\\\\B + T - T = 47 - T\\\\B = 47 - T$

Then, we can substitute this value of B into the second equation and solve for T.

$\displaystyle 6(47-T)+8T=320\\\\282 - 6T + 8T = 320\\\\282 + 2T = 320\\\\2T + 282 = 320\\\\2T + 282 - 282 = 320 -282\\\\2T = 38\\\\\frac{2T}{2}=\frac{38}{2}\\\\T = 19$

Finally, we can substitute this value of T into the first equation to solve for B.

$B + 19 = 47\\\\B + 19 - 19 = 47 - 19\\\\B = 28$

Therefore, the solution to this system of equations is:

B = 28
T = 19

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2 years ago

The coordinates of the vertices of △ABC are A(−4, 6) , B(−2, 2) , and C(−6, 2) .

vfiekz [6]

Answer:

translation 2 units left ; reflection across the y-axis

Step-by-step explanation:

The y-coordinates of the points do not change from the pre-image to the image. This means there is no translation down (this would add or subtract to the y-coordinates) and no reflection across the x-axis (this would negate the y-coordinates).

This leaves us with a translation 2 units left and a reflection across the y-axis.

The translation 2 units left adds 2 to the x-coordinates, and the reflection across the y-axis negates the x-coordinates. If we add 2 first, the coordinates would be (-4+2, 6) = (-2, 6); (-2+2, 2) = (0, 2); and (-6+2, 2) = (-4, 2).

Negating each of these would give us (2, 6); (0, 2); and (4, 2). These are the desired image coordinates.

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2 years ago

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Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3

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Answer:

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Step-by-step explanation:

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2 years ago

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