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3 years ago

What number would complete the pattern? 107 98 90 83 77 68 65

1 answer:

tatiyna3 years ago

8 0

The numbers are part of an arithmetic progression, where the difference between each succeeding number is reduced by 1 each time. Between 107 and 98, the difference is 9. Between 98 and 90, the difference is 8, and so on. This is shown below:

107 - 98 = 9
98 - 90 = 8
90 - 83 = 7
83 - 77 = 6
77 - x = 5
x - 68 = 4
68 - 65 = 3

From that, we can solve for x using either of the equations:

77 - x = 5
x = 77 - 5
x = 72

Therefore 72 would complete the pattern.

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CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!!!

Sergio [31]

I think the answer is 25

6 0

3 years ago

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

DENIUS [597]

The answer is 15 in³.

The volume of the cone is:
$V_1= \pi r_1 ^{2} \frac{h_1}{3} = \frac{ \pi r_1^{2} h_1}{3}$
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
$V_2= \pi r_2h_2^{2}$
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since the cone fits exactly inside of the cylinder, they have the same radius and the height:
r₁ = r₂
h₁ = h₂

Also:
V₁ = 5

Now, let's write two volume formulas together:
$V_1= \frac{ \pi r^{2} h}{3}$
 $V_2= \pi rh^{2}$ 

We can include V₂ into V₁:
$V_1= \frac{V_2}{3}$

⇒ $V_2=3*V_1$
$V_2=3*5 in^{3}$
$V_2=15 in^{3}$

5 0

3 years ago

Gregg subtracted some number x from 47, then multiplied the result by two, subtracted 15 and got 45. What was Gregg's number?

irinina [24]

Work in reverse.

45 + 15= 60. 60/2= 30. 30 + x = 47.

So, x= 47-30.
x= 17.

6 0

2 years ago

Jason worked 3 hours more than Keith. Jason worked 12 hours. Which equation represents this situation, if k is the numbers of ho

ycow [4]

Answer:

j=k+3 (j=jason k+kieth)

Step-by-step explanation:

he did thrhee more so it will be adding 3 to k

8 0

3 years ago

A desk is 2 meters long and 1 meter wide. The desk needs to be represented in a scale drawing of an office that uses a scale of

Strike441 [17]

Answer:

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

Step-by-step explanation:

Scaling

The scale factor established to represent a desk 2 meters long and 1 meter wide is:

1 centimeter = 0.5 meter

We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:

$\displaystyle \frac{1\ cm}{0.5\ m}$

to get the scaled dimensions.

The length of 2 meters is scaled to:

$\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm$

And the width of 1 meter is scaled to:

\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

3 0

2 years ago