The manager of a plant nursery bought 120 lb of soil to use for potting plants. The manager can put 5 lb into each of the small pots and 12 lb into each of the large pots. The manager made a sketch to show the line representing the different combinations of pots that can be used. The x-axis represented the number of small pots and the y-axis represented the number of large pots. The manager labeled only the intercepts.

Which points did the manager label?




(0, 24) and (10, 0)

(0, 5) and (12, 0)


(0, 10) and (24, 0)

(0, 12) and (5, 0)

Answer:

112°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

16x is an exterior angle of the triangle, thus

16x = 7x - 1 + 8x + 8, that is

16x = 15x + 7 ( subtract 15x from both sides )

x = 7

Thus

16x = 16 × 7 = 112

The exterior angle is 112°

Step-by-step explanation:

Let's find the equation of the line first.

x + 2y = 4

2y = -x + 4

y = -1/2 x + 2

Graph this line first. Now, we have to find which side of the line we will shade. Let's plug in (0, 0) to the original inequality. We get 0 + 0 ≤ 4, which is a true statement, so we will shade below the line. We will keep the line solid because the comparison is ≤, meaning all the points on the line are also solutions to the inequality. Hope this helps!

Answer:

C) Center= (-2,5) and r=3

Step-by-step explanation:

Answer:

D. 8 units

Step-by-step explanation:

I chose that answer because -4 is 4 units away from 0 then you need to get to 4 so you add 4 more units and 4 + 4 is 8 so that means it's 8 units away

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the angle will always stay the same, it won't change

but if the dialation is 1/2, then that means that the sides will decrease in size compared to the original length,

(just divide by 2) on each side length to get the answer

Answer:

Step-by-step explanation:

Given the complex number [tex]\frac{-3+4i}{1+2i}[/tex] calculated by Sydney porter, In order to know the value he should have obtained if he hadn't accidentally miss the minus sign, we will have to rationalize the original complex function.

To rationalize, we will multiply the numerator and denominator if the function by the conjugate of its denominator as shown;

[tex]\frac{-3+4i}{1+2i} *\frac{1-2i}{1-2i}\\= \frac{(-3+4i)(1-2i)}{(1+2i)(1-2i)}\\= \frac{-3+6i+4i-8i^{2} }{1-2i+2i-4i^{2} } \\= \frac{-3+10i+8}{1+4} \\note\ that\ i^{2} = -1\\= \frac{5+10i}{5} \\= \frac{5}{5} + \frac{10i}{5} \\= 1 +2i[/tex]

He should have obtained 1+2i if he hadn't misses the sign

Answer: [tex]\$3834[/tex]

Step-by-step explanation:

Three years ago Paulo's monthly salary was [tex]\$2783[/tex]

Twelve years from now Paulo's salary will be [tex]\$8038[/tex]

Suppose current salary is [tex]\$ x[/tex]

and  Yearly increment is [tex]\$y[/tex]

So,

[tex]\Rightarrow x-3y=2783\quad \ldots(i)[/tex]

and [tex]\Rightarrow x+12y=8038\quad \ldots(ii)[/tex]

From (i) and (ii) we get

[tex]\Rightarrow 15y=5255[/tex]

[tex]\Rightarrow y=350.33[/tex]

and [tex]x=2783+3\times 350.33[/tex]

[tex]x=3834[/tex]

So, monthly salary this year is [tex]\$3834[/tex]

Answer:

A'(3, 1), B'(3, -2), C'(1, -2)

Step-by-step explanation:

A(-1,1), B(-1, -2), C(1, -2)

A(-3, 1), B(-3, -2), C (-1, 2)

A'(3, 1), B'(3, -2), C'(1, -2)

A geometric figure on a coordinate plane with points. The figure is translated left two units and then reflected over the X axis. The ordered pairs of A, B, C are A (3, 1), B (3,-2), C (1, -2).

"A geometric figure is intuitively defined as a set of points and lines in space."

"The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points, lines, and more."

We have

A geometric figure on a coordinate plane with points

A = (1, -1)

B = (-1, -2)

C = (1, -2)

The figure is translated left two units and then reflected over the X axis

A drawn figure is attached to the answer

From the figure, we have

Figure is translated left two units

A = (-3 ,1)

B = (-3, -2)

C = (-1, -2)

Then the figure is reflected over x-axis

A = (3, 1)

B = (3,-2)

C = (1, -2)

Hence, The figure is translated left two units and then reflected over the X axis. The ordered pairs of A, B, C are A (3, 1), B (3,-2), C (1, -2).

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Answer:

360 degrees

Step-by-step explanation:

The measure of the arc ABC is 230°

In Mathematics, an arc means, a part of a curve or the portion of a circle. The straight line joining the ends of the arc is called the chord of the circle.

Given is a circle we need to find the measure of the arc ABC,

So, according to the properties of a circle,

∠D = 1/2(arc ABC - arc AC)

Arc AC = 360° - arc ABC

Therefore,

50° = 1/2(arc ABC - 360° + arc ABC)

100° = -360° + 2 arc ABC

460° = 2 arc ABC

arc ABC = 230°

Hence the measure of the arc ABC is 230°

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Answer:

2m/s

Step-by-step explanation:

Speed=distance/time taken

=14/7

=2m/s

Answer:

Total number of choices with a straw:  12

Total number of choices without a straw: 12

Total number of choices: 24

Step-by-step explanation:

Taj has a choice of:

This made a total of 3*2*2: 12 different choices

if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24

Answer:

less likely

Step-by-step explanation:

Answer:

14.212 feet

Step-by-step explanation:

Pythagorean Theorem.

sqrt(9^2+11^2) = 14.212

A.)

[tex] \sqrt{5 {x}^{2} } + 15x[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is equivalent to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

Equivalent value or dated value refers to the value of an original quantity at a specific point in time. The equivalent payment is made up of the initial amount plus any interest accrued up to the dated value date. When money is due or payable at separate times, it is impossible to compare them immediately.

Given hence solving [tex]\sqrt{5x} * \sqrt{x+3}[/tex] equation by multiplying both terms

=[tex]\sqrt{(5x*x+5x*3}[/tex]

=[tex]\sqrt{5x^{2} +15x}[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is similar to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

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Answer: 90%

Step-by-step explanation:

When 180 is multiplied by 0.90, representing 90%, you get 162 :) So the item was discounted by 10% and is now 90% of it's initial amount

Answer: The original price was discounted by 10%

Step-by-step explanation:

180-162 =  0.1  

1-0.1= 0.9

0.9 * 100= 90%

100% -10%= 90%

90% * 180= 162

Answer:2/19

Step-by-step explanation:

Answer:

The solution is attached up.

Answer:

3 and 11

Step-by-step explanation:

3 times 11 is 33

11 - 3 is 8

Answer:

3

Step-by-step explanation:

Answer:

i think the answer is 1.2 or 1.7

you first need to add together all of the children and then divide by 6

Answer:

90°

Step-by-step explanation:

All sides of the given quadrilateral are 4 units, that is they are equal. Hence it is a RHOMBUS.

Diagonals of a rhombus bisects each other at right angles (90°).

x = 90°

Answer:

3.5x+20

the wind is around 7mph

Step-by-step explanation:

Answer: 2 7/8 divided by 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 7/8 divided by 1/12

Answer:

You had to pay $30.69 after the sales tax factored in.

Step-by-step explanation:

First step is to find 7% of $28.68.

The answer to that is the sales tax, therefore making the sales tax $2.01.

Finally, you have to add $2.01 to $28.68 to get a total of $30.69, your final answer.

Answer:

The dimensions of the two different rectangular regions are;

1st Arrangement:

W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards

2nd Arrangement:

W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards

The perimeter of the two different rectangular regions are;

1st Arrangement:

P₁ = 18 yards

2nd Arrangement:

P₂ = 24 yards

Step-by-step explanation:

Bella is putting down patches of sod to start a new lawn.

She has 20 square yards of sod.

We are asked to provide the dimensions of two different rectangular regions that she can cover with the sod.

Recall that a rectangle has an area given by

Area = W*L

Where W is the width of the rectangle and and L is the length of the rectangle.

Since Bella has 20 square yards of sod,

20 = W*L

There are more than two such possible rectangular arrangements.

Out of them, two different possible arrangements are;

1st Arrangement:

20 = (4)*(5) = (5)*(4)

Width is 4 yards and length is 5 yards or width is 5 yards and length is 4 yards

2nd Arrangement:

20 = (2)*(10) = (10)*(2)

Width is 2 yards and length is 10 yards or width is 10 yards and length is 2 yards

Therefore, the dimensions of two  different rectangular regions are;

1st Arrangement:

W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards

2nd Arrangement:

W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards

What is the perimeter of each region?

The perimeter of a rectangular shape is given by

P = 2(W + L)

Where W is the width of the rectangle and and L is the length of the rectangle.

The perimeter of the 1st arrangement is

P₁ = 2(4 + 5)

P₁ = 2(9)

P₁ = 18 yards

The perimeter of the 2nd arrangement is

P₂ = 2(2 + 10)

P₂ = 2(12)

P₂ = 24 yards

So the perimeter of the 1st arrangement is 18 yards and the perimeter of the 2nd arrangement is 24 yards.

Note:

Another possible arrangement is,

20 = (1)*(20) = (20)*(1)

Width is 1 yard and length is 20 yards or width is 20 yards and length is 1 yard.

Answer:

-9 - J

Step-by-step explanation:

<x2 – x1, y2 – y1>

<a, b> = ai + bj.

Answer: There is a positive linear association

Step-by-step explanation:

The best fitted statement is

There is a positive linear association.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

If one variable increases roughly at the same rate as the other variables change by one unit, the relationship is said to be linear.

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.

As, If the slope is positive, then there is a positive linear relationship, i.e., as one increases, the other increases.

If the slope is negative, then there is a negative linear relationship, i.e., as one increases the other variable decreases.

Here, the slope seems to be positive.

Thus, this is positive linear Association.

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Answer:

5.888x10^12

Step-by-step explanation:

First you got to make the number a decimal, but it can't be above 10 or below 1. So, we end up with 5.888000000000. Then, to get rid of all the zeros, we use the x10^12. The exponent is basically how many times the decimal has to move back to the right to get the original number.

Answer:

1/3

Step-by-step explanation:

8/12 - 4 /12=.  4/12 = 1/3. =. .33