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2 years ago

9

the is a duck in front of two ducks, a duck behind two ducks, and a duck between two ducks. what is the least number of ducks th

at there could be in this group?

2 answers:

nalin [4]2 years ago

6 0

Answer:

Step-by-step explanation:

Three I think.

Donald x x

X X Donald

X Donald X

Flura [38]2 years ago

6 0

Answer:

3

Step-by-step explanation:

The ducks would be in a single file line.

1 duck in front of the two ducks in a line.

1 duck behind the two ducks in the straight line.

Since there are 3 ducks in a straight single line, the duck in the middle would be between 2 ducks.

X

X

X

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Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o

Hitman42 [59]

Answer:

The system of equations are

x+y=557

$\frac35x+\frac56 y=407$

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which $\frac35$ of the shorter book and $\frac56$ of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

$\frac35$ page of the shorter book $=\frac35 x$

$\frac56$ pages of the longer book = $\frac56y$

So, he has read $=\frac35x+\frac 56y$

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

$\frac35x+\frac56 y=407$ .......(2)

We can write equation (2) as

$\frac35x+\frac56 y=407$

$\Rightarrow \frac{18x+25y}{30}=407$

$\Rightarrow {18x+25y}=407\times 30$

$\Rightarrow {18x+25y}=12,210$ ......(3)

Now 18 times of equation (1) subtract from equation (3)

18x+25y=12210

18x+18y=10026

- - -

_______________

25y-18y=12,210-10,026

⇒7y=2,184

$\Rightarrow y=\frac{2184}{7}$

⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

5 0

3 years ago

What is the value of x? inscribed angles

Flura [38]

The value of x is 84°.

Solution:

Measure of intercepted arc = 168°

Measure of angle x = ?

<u>Tangent-chord relationship:</u>

<em>If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.</em>

$$\Rightarrow \angle x = \frac{1}{2}\times 168^\circ$

$$\Rightarrow \angle x = 84^\circ$

The value of x is 84°.

8 0

4 years ago

For any number n>1, is

masya89 [10]

A because the > symbol means greater so if n is on the open side that means its greater

8 0

2 years ago

What is an equation of the line that passes through the points (0, -7) and (-8, 3)?

avanturin [10]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -\frac{5}{4} x-7$

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}$

So, the slope is $-\frac{5}{4}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute real values for the $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{4}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

$y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7$

7 0

3 years ago

The average speed of a train that travels x in 3/4 hour

creativ13 [48]

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Ans: (x/(3/4)) mph = (4x/3)mph = (4/3)x mph
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5 0

3 years ago