Please help! I forgot to study..

If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The point (2,5) is represented on the graph.

Then the equation of the line passing through (2, 5) and the origin will be given as

y - 0 = [(5 - 0) / (2 - 0)] (x - 0)

    y = 5/2 x

 2y = 5x

If the point (30, 75) satisfies the equation, then the point will lie on the line.

2 × 75 = 5 × 30

   150 = 150

The graph is given below.

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Answer:

28 times

Step-by-step explanation:

On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.

Answer:

A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit.

Step-by-step explanation:

Step-by-step explanation:

x = capacity of Marshfield

y = capacity of Browden

x + y = 210,355

x = y + 4,465

so, using the second equation in the first

(y + 4,465) + y = 210,355

2y + 4,465 = 210,355

2y = 205,890

y = 102,945 (Browden)

x = y + 4,465 = 102,945 + 4,465 = 107,410 (Marshfield)

To solve this problem, we have to find the net displacement and the net force and the multiply the dot product together and get the work done.

The work done on moving the object is 27ft*lbs

To find the work done on this object, let's find the net force on the object.

Data;

The unit vector of the force is

[tex]\sqrt{4^2 +(-2)^2} =\sqrt{16 + 4} = \sqrt{20}[/tex]

[tex]\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} }[/tex]

The net force acting on the object is

[tex]F = 4(\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} })\\F= (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } )[/tex]

The displacement on the object is 7ft through (0,4) to (5, -1)

The unit vector on displacement is

[tex]\sqrt{5^2 + (-1-4)^2} = \sqrt{25+25} = \sqrt{50}[/tex]

[tex]\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }[/tex]

The net displacement will be

[tex]7(\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }) = \frac{35}{\sqrt{50} }, \frac{-35}{50}[/tex]

The work done will be F.d

[tex]w = f. d \\[/tex]

[tex]w = (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } ) * \frac{35}{\sqrt{50} }, \frac{-35}{50}\\w = 17.71+ 8.854\\w = 26.567 = 27ft*lbs[/tex]

The work done on moving the object is 27ft*lbs

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Answer: the answer is B 27ft

Step-by-step explanation: its cam btw

Answer:

5×5=25

8×5÷2=20

25+20= 45

area of a composite 45

Answer:

14

A = base × height = 2 × 7 = 14

Answer:14

Step-by-step explanation:

Step-by-step explanation:

by using the formula of principal

p= I×100/T×R

Answer:

90

Step-by-step explanation:

PRT/100

75×30×2/100

9000/100

=90

Answer:

1. Volume of the cube = width * length * height = 25 * 25 * 25 = 15,625 m³

2. Volume of the cube = width * length * height = 24 * 24 * 24 = 13,824 m³

3. Volume of the cube = width * length * height = 7 * 7 * 7 = 343 m³

4. Combined volume = volume cube 2 + volume cube 3 = 13,824 + 343 = 14,167 m³

5. 15, 625 - 14,167 = 1,458 more m³

—-

Have a nice day!!

Answer:

1. Volume of a cube = l³

therefore: Volume of first cube = 25³

= 15625

2. Same formula as number 1. = l³

= 24³

= 13824

3. 7³ = 343

4. Combined volume Multiplication = 15625 × 13824

or addition = 15625 + 13824

if according to question

5. Don't get paraphrase

Answer:

You can't answer this because there isn't a regular x value, there is only a x squared

Step-by-step explanation:

[tex]~~~~~~x^2 +9 = 0\\\\\implies x^2 = -9\\\\\implies x = \pm\sqrt{-9}\\\\\implies x=\pm 3i\\\\\text{Which is not real, so the given expression can't be factored for} ~x \in \mathbb{R}.[/tex]

Answer:

Looking at the question, we are given two points and we need to determine the line that passes through both of these points.  The first step to solving this problem is to find the slope.

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\frac{8-2}{2-(-1)}[/tex]

[tex]slope=\frac{6}{2+1}[/tex]

[tex]slope=\frac{6}{3}[/tex]

[tex]slope=2[/tex]

Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-2)=2(x-(-1))[/tex]

[tex]y-2=2(x+1)[/tex]

[tex]y-2=2x + 2[/tex]

[tex]y- 2 + 2=2x + 2 + 2[/tex]

[tex]y=2x + 4[/tex]

Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

See below

Step-by-step explanation:

(36 - 2x) * (17-2x) = 700      I think, given the info

4x^2 - 106x + 612 = 700     expanded....

Answer:

42

Step-by-step explanation:

You turn the percentage into a decimal, 25%=0.25

then you multiply 0.25 to 168

Then you get 42

0.25 x 168 = 42

Hope this helps <3

Step-by-step explanation:

If you agree that increasing age (for elementary school children) causes increasing foot size, and therefore increasing shoe size, then you expect a correlation between age and shoe size. Correlation is symmetric, so shoe size and age are correlated.

Answer:

x = 125º

Step-by-step explanation:

Angles in a triangle add to 180º so:

180 - 42 - 83 = 180 - 125 = 55º

Angles on a straight line also add to 180º so to find x:

180 - 55 = 125º

x = 125º

Hope this helps.

The exterior angle theorem states that one exterior angle of a triangle will always be equal to the sum of the two opposite interior angles.

x is an exterior angle of the triangle.

We are given two interior angles in the triangle. These are opposite of x.

According to the exterior angle theorem, we can solve for x by adding these two angles:

x = 125

Answer:

8

Step-by-step explanation:

5 + 3 = 8

Answer:

I do not know. sorry I couldn't help

A population about which we want to get some information is called the sample.

This is a portion of a population that is known to contain several parts of the population. The information that is gotten from the sample would be used to draw conclusion about the entire information.

Therefore from the definition above the answer to the question is the population sample.

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Step-by-step explanation:

[tex]2 {}^{2} \times 2 {}^{3} \times 2 {}^{1} \times 3 {}^{ - 1} {}^{ (- 2)} [/tex]

[tex]2 {}^{6} 3 {}^{2} [/tex]

Answer:

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by

surface area of prism = 2 * area of base + perimeter of base * H

So for the rectangular prism in your example..

surface area = 2LW + 2(L+W)H

= 2 * 7 * 4 + 2*(7+4)*5

= 56 + 2 * 11 * 5

= 56 +110

= 166 sq cm

Hope this helps

The complex fraction is

[tex]\\ \rm\Rrightarrow \dfrac{1-\dfrac{1}{x}}{2}[/tex]

On comparing

[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{x-1}{x}}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2(x-1)}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2x-2}{x}[/tex]

Middle one

Answer:

It is A.) x-1 / 2x

Step-by-step explanation:

correct on edge

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

Answer:

there are 50 orange balls

Step-by-step explanation:

let green balls be x

orange balls be y

green balls = orange balls + 10

x = y+10

orange balls + green balls = 110

x + y = 10

y + 10 + y = 110

2y + 10 = 110

2y = 110 -10

2y = 100

y = 50

thus there 50 orange balls

Answer:

20.11 °

Step-by-step explanation:

31.1 ° + 35.8 ° + 90m + 44.2 ° = 20.11 °

The maximum amount Simon Powell can borrow against his home is $130,000.

The maximum amount Simon Powell can borrow against his home can be calculated using the following formula:

Maximum amount that can be borrowed = (Current value of the home * Percentage of the market value that can be borrowed) - Mortgage balance …………………. (1)

Substituting all the relevant values into equation (1), we have:

Maximum amount that can be borrowed = ($350,000 * 0.80) - $150,000 = $130,000

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