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2 years ago

A gardener at a nursery is filling pots with soil to prepare to

Mathematics

1 answer:

vivado [14]2 years ago

4 0

Answer:

a. 127 pots

b. 2,943 cubic inches

Step-by-step explanation:

To find the amount of pots of soil can be filled, you can use the equation given. s = 3456 in part a

s = 27p

3456 = 27p

divide 3456 by 27 to isolate p

p = 127 pots

Instead of substituting for s like in part a, you can now substitute for p, since you know that you need to fill 109 pots.

s = 27 * 109

s = 2943 cubic inches

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Points B, O, Y are collinear on BY, and BO:OY=5/8. B is located at (4,2), O is located at (7, -3) and Y is located at (x,y). Det

Viktor [21]

Answer:

x = $\frac{59}{5}$

y = -11

Explanation:

Given that a line segment BY. O is the point lies between B & Y.

Ratio is BO:OY = 5:8

Coordinate of point B = (4,2)

Coordinate of point O = (7,-3)

We will find the coordinate of Y (x,y)

Here we use the section formula.

Internal section formula is :

$Y(x,y) =(\frac{mx_{2}+nx_{1}}{m + n},\frac{my_{2}+ny_{1}}{m + n})$

(7,-3) = $(\frac{5*x+8*4}{5+8} ,\frac{5*y+8*2}{5+8} )$

(7,-3) = $(\frac{5x+32}{13}, \frac{5y+16}{13})$

Now

7 = $\frac{5x+32}{13}$

5x+32 = 91

x = $\frac{59}{5}$

and

$-3 =\frac{5y+16}{13}$

5y + 16 = -39

y = -11

That's the final answer.

8 0

2 years ago

Explain what the inequality --4h <-14 represents. What value of h makes the equation true

KonstantinChe [14]

Answer:

-4h < - 14

We solve for h by applying the inverse operations;

The inverse operation of multiplication is division, so we divide by -4 on both sides;

/-4 /-4

h < 3.5, it could be 3.4, 3.3, 3.2 3.123, 2.4, 2.576, there are tons of numbers below 3.5.

So anything below 3.5 would best be suitable for the equation.

8 0

2 years ago

Solve for h. B=hm h=?? I've been struggling with this please help

miss Akunina [59]

$B=hm\\
h=\dfrac{B}{m}$

6 0

3 years ago

Is -28 greater than or less than -162

vivado [14]

Answer:

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

Step-by-step explanation:

To determine:

Is -28 greater than or less than -162?

Solution Steps:

In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.

A number line could be extended infinitely in any direction i..e -∞ to +∞.

A number is usually represented horizontally.

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

In other words,

$-28>-162\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}$

Keywords: number line, less than, greater than

Learn more about number line from brainly.com/question/12153324

#learnwithBrainly

7 0

3 years ago

Find a and b to make the following matrices equal.

podryga [215]

We need the following to be true
a+2b = -a
a+4 = 2a - 3b

Let's look at the first equation.
a + 2b = -a
Subtract both sides by a
2b = -2a
b = -a

Substitute b= -a into the second equation
a+4 = 2a + 3a
a + 4 = 5a
4a = 4
a = 1

Just take the negative of that and you get the value of b.
b = -1

Your solution is a=1 and b = -1.

Have an awesome day! :)

4 0

3 years ago

Read 2 more answers