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3 years ago

8

The garden has 20 rows of crops and one half of the rows are planted with corn. How many rows are planted with corn?

2 answers:

leva [86]3 years ago

8 0

Well, one half of 20 is 10, so the answer would be 10 rows!!! :)

max2010maxim [7]3 years ago

3 0

20 x 1/2 = 10

There are 10 rows that are planted with corn.

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765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible

tia_tia [17]

Answer:

All the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

Step-by-step explanation:

765ab4 to be divisible by 36, it must be divisible by both 9 and 4.

For any number to be divisible by 4, the last two digits of the number must be divisible by 4.

Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.

Now, we have b={0,2,4,6, 8}

For b=0,

S=22+a+0=22+a which is a multiple of 9.

So, the possible value of the digit a :

a=5

So, (a,b)=(0,5)

For b=2,

S=22+a+2=24+a which is a multiple of 9.

So, the possible value of the digit a :

a=3

So, (a,b)=(2,3)

For b=4,

S=22+a+4=26+a which is a multiple of 9.

So, the possible value of the digit a :

a=1

So, (a,b)=(4,1)

For b=6,

S=22+a+6=28+a which is a multiple of 9.

So, the possible value of the digit a :

a=8

So, (a,b)=(6,8)

For b=8,

S=22+a+8=30+a which is a multiple of 9.

So, the possible value of the digit a :

a=6

So, (a,b)=(8,6)

Hence, all the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

3 0

3 years ago

The expression sin 57° is equal to

ValentinkaMS [17]

Answer:

$cos(33^{\circ})$

Step-by-step explanation:

Given

$sin(57^{\circ})$

Required

Determine an equivalent expression

In trigonometry:

$sin(\theta)= cos(90^{\circ} - \theta)$

In $sin(57^{\circ})$

$\theta=57^{\circ}$

Substitute $57^{\circ}$ for $\theta$

in $sin(\theta)= cos(90^{\circ} - \theta)$

$sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})$

$sin(57^{\circ})= cos(33^{\circ})$

Hence, the equivalent expression is: $cos(33^{\circ})$

5 0

3 years ago

What is the next three numbers out of the pattern 60 54 48 and 42

aleksandrvk [35]

The next three are 36, 30, and 24

4 0

3 years ago

2, 5, 9, 14, ?, 27. what’s the missing number?

poizon [28]

Answer:

20

Step-by-step explanation:

2, 5, 9, 14, ?, 27.

2,5 the number added is 3

5,9 the number added is 4

9,14 the number added is 5

14,20 the number added is 6

20 , 27 the number added is 7

7 0

3 years ago

Read 2 more answers

Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33

Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

$y =-3x^2 + 12x - 33$

Required

The true statement about the extreme value

First, write out the leading coefficient

$Leading = -3$

$-3 < 0$ means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

$x = -\frac{b}{2a}$

Where:

$a= -3; b =12; c =-33$

So, we have:

$x = -\frac{12}{2 * -3}$

$x = -\frac{12}{-6}$

$x =2$

Substitute $x =2$ in $y =-3x^2 + 12x - 33$

$y = -3*2^2 + 12 * 2 - 33$

$y = -21$

<em>Hence, the maximum is -21.</em>

8 0

3 years ago