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4 years ago

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An apple orchard contains 70 trees. The number of trees in each row is 4 less than twice the number of rows. Find the number of

rows and the number of trees per row.

1 answer:

e-lub [12.9K]4 years ago

7 0

70 minus 4 equals 66 and 70x66=420 and the answer is 420.

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formula one race cars reach speeds of approximately 100 meters Per second. what is the speed in meters per minute?

Anika [276]

100 * 60 seconds per minute
6000 meters per minute

4 0

4 years ago

Read 2 more answers

: Which equations have an infinite number of solutions? Select all that apply. A -2(x - 2) + 3x = x - 4 B 2x + 4(x - 1) = 3(2x +

MissTica

Option C and Option D

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4 has infinite number of solutions

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4) has infinite number of solutions

<h3><u>Solution:</u></h3>

Given that we have to find the equations that has infinite number of solutions

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions.

If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

<h3><u>Option A</u></h3>

-2(x - 2) + 3x = x - 4

Multiply the terms inside the bracket

-2x + 4 + 3x = x - 4

x + 4 = x - 4

Thus this equation does not have infinite number of solutions

<h3><u>Option B</u></h3>

2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

2x + 4x - 4 = 6x + 3 - 2x + 2

6x - 4 = 4x + 5

6x - 4x = 5 + 4

2x = 9

$x = \frac{9}{2}$

Thus this equation has only one solution.

Thus this equation does not have infinite number of solutions

<h3><u>Option C</u></h3>

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

3x + 2x - 4 + 6 = 4x + 6 + x - 4

5x + 2 = 5x + 2

Thus this equation has infinite number of solutions

<h3><u>Option D</u></h3>

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

4x + 8 + x + 1 = 2x - 3 + 3x + 12

5x + 9 = 5x + 9

Thus this equation has infinite number of solutions

3 0

4 years ago

Write the inequality shown in this graph.

kykrilka [37]

Answer:

y > -1/2 x + 4

Step-by-step explanation:

Equation of a line : (y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-4)/(2-4)= (x-0)/(4-0)

(y-4)/-2 = x/4

(-y+4)/2 = x/4

-y+4 = 1/2 x

-y = 1/2 x - 4

y = -1/2 x + 4

the solutions of the inequality are the points above this line, so

y > -1/2 x + 4

8 0

3 years ago

A surveyor wants to find the distance from points A and B to an inaccessible point C. These three points form a triangle. Becaus

harkovskaia [24]

Answer:

Part a) $AC=135.95\ m$

Part b) $BC=124.14\ m$

The diagram in the attached figure

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$53^o+61^o+m\angle C=180^o$

$114^o+m\angle C=180^o$

$m\angle C=180^o-114^o$

$m\angle C=66^o$

step 2

Find the distance AC

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

see the attached figure to better understand the problem

substitute the given values

$\frac{142}{sin(66^o)}=\frac{AC}{sin(61^o)}$

$AC=\frac{142}{sin(66^o)}(sin(61^o))$

$AC=135.95\ m$ ---> rounded to the nearest hundredth

step 3

Find the distance BC

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

substitute the given values

$\frac{142}{sin(66^o)}=\frac{BC}{sin(53^o)}$

$BC=\frac{142}{sin(66^o)}(sin(53^o))$

$BC=124.14\ m$ ---> rounded to the nearest hundredth

4 0

3 years ago

the area of a rectangle is (y^2-8y+15) square inches. which expression represents a possible length? A. (y+5) B. (y-15) C. (y-2)

Pani-rosa [81]

D. (y-3)
I'm assuming that they want you to find the factors of the quadratic expression, which are (y-5)(y-3). (y-5) isn't up there, so (y-3) is the only solution that's really possible.

7 0

3 years ago