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3 years ago

Define the variables for the situation. Then enter an equation.

Mathematics

1 answer:

larisa [96]3 years ago

5 0

Answer:

p = 16/8 = 2

Step-by-step explanation:

We know that the pencils were divided into 8 groups of 2.

Then the total number of pencils is equal to 8 (the number of groups) times 2 (the number of pencils in each group)

8*2 = 16

The total number of pencils is 16.

Then the operation of dividing 16 pencils into 8 groups is written as:

16/8

And we know that this is equal to 2, then the operation is:

16/8 = 2.

Then the equation is:

p = 16/8 = 2

where p represents the number of pencils in each group.

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Find the value of x rounded to the nearest tenth.

iren [92.7K]

Check the picture below.

4 0

3 years ago

Given 4x − 8y = 8:

siniylev [52]

4x - 8y = 8
8y = 4x - 8
y = 1/2 x - 1

slope: 1/2
y-intercept:(0, -1)

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3 0

3 years ago

Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is

NeTakaya

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

$BC=400\ ft$

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

$\tan\theta=\frac{Opposite\ side}{Adjacent\ side}$

$\tan C=\frac{AB}{BC}$

Plugging in values.

$\tan 55\°=\frac{AB}{400}$

Multiplying both sides by 400.

$400\tan 55\°=\frac{AB}{400}\times 400$

$571.26=AB$

∴ $AB\approx 571\ ft$

Height of flagpole = 571 ft

6 0

4 years ago

I would really appreciate help

vivado [14]

The first graph would be your answer. I hope this helps love! :)

4 0

4 years ago

Kirsten and Molly are on a 3-day bike ride. The entire route is 156 miles. On the first day they biked 64 miles, and on the seco

timama [110]

The distance that Kirsten and Molly need to bike on their third day is obtained by subtracting the sum of the distances they have traveled after two days from the length of the entire route.

distance left = 156 miles - (64 miles + 45 miles)
= 47 miles
Thus, Kirsten and Molly need to bike 47 miles on their third day.

3 0

4 years ago