You go to the Yellowbox to get 5 rentals for the weekend. Movies rent for $2 and video games rent for $3. You end up spending $13
Be sure to answer EACH of the following parts below:
• Define your variables.
• Write a system of equations that describes the number of movies and video games rented.
• Solve the system. Show all of your steps.
.
How many of each item did you rent?

Answer:

48

Step-by-step explanation:

To calculate the area of a composite shape you must divide the shape into rectangles, triangles, or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes.

I split it into a square and a trapezoid

The area of the square is 6x5 = 30

The area of the trapezoid is

A=a+b

2h=3+6

2·4=18

So add the area together

30+18= 48

Answer:

6300000

Step-by-step explanation:

7,000,000-700,000=6300000

Answer:

10 times greater

Step-by-step explanation:

x = 20°

The total sum of interior angles in a triangle is 180°

Answer:

D)  x = 20

Step-by-step explanation:

Theorem

The sum of the interior angles of a triangle is 180°

Solution

Add the angles and equate to 180:

⇒ (x + 5) + (7x - 5) + x = 180

Collect like terms:

⇒ x + 7x + x + 5 - 5 = 180

Combine like terms:

⇒ 9x = 180

Divide both sides by 9:

⇒ x = 20

The value of the difference of the functions is 3t^2/3

The difference in the growth of the specimen is 3t^2/3

Expoenential functions are written in the form y= ab^x

Given the following expoenential functions

A(t) = 5/6t^2/3

B(t) = 1/3t^2/3

a) Determine the function (A-B(t)

(A-B)(t) = A(t) - B(t)

Substitute

(A-B)(t) = 5/6t^2/3 - 1/3t^2/3
(A-B)(t) = (5/6-1/3)t^2/3
(A-B)(t) = 9/3t^2/3
(A-B)(t) = = 3t^2/3

b) This means that the difference in the growth of the specimen is 3t^2/3

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2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

Answer:

B

Step-by-step explanation:

Standard form of a polynomial is when the terms are order from highest exponential power to lowest exponential power. The choice you chose has the highest exponential power of 1, and a leading coefficient of 1. You are incorrect. The correct answer would be the second choice of:

[tex]5 {x}^{2} + 6x - 7[/tex]

This polynomial is in standard form, and has a leading coefficient of positive 5.

Question 6

End ÷ Initial  = Growth + 1         (percent increase problems)

6,500/5,000 = 1.30

1.30 - 1 = 0.30

30% increase

Question 8

End ÷ Initial  = 1 - Growth         (percent decrease problems)

10.75/15.50 = 0.69

1 - 0.69 = 0.31

31% decrease

I hope this helps!

Hope the picture will help you!!

Answer: $17.24

Step-by-step explanation:

6.78 + (1.49 x 4) + 4.50= 17.24

Each face of a cube has an area of 4 square units, then the volume of the cube is 8 cubic units.

The given information states that each face of the cube has an area of 4 square units.

Since a cube has 6 faces, this means that the total surface area of the cube is:

Total Surface Area = 6 * 4 square units = 24 square units

Now, let's relate the surface area of the cube to its volume:

For a cube, the surface area (S) and the volume (V) are related by the formula:

S = 6s²

Where "s" is the length of each side of the cube. In this case, we have:

S = 24 square units

Substitute this into the formula:

24 = 6s²

Now, solve for "s":

s² = 24 / 6

s² = 4

Take the square root of both sides:

s = √4

s = 2

So, each side of the cube is 2 units long.

Now, to find the volume of the cube, you can use the formula for the volume of a cube:

V = s³

Substitute the value of "s":

V = 2³

V = 8 cubic units

Therefore, the volume of the cube is 8 cubic units.

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Answer:

I think the answer is B 23,345

Answer:

Yes, It is a benifit for both.

Step-by-step explanation:

Doing something for someone else that makes both of the people feel good so it is a benifit for both.

Answer:

Agree

Step-by-step explanation:

Agree, helping others to benefit them makes you feel good. In return, you get a sense of happiness for benefiting them. There is evidence that shows that helping people/letting them benefit ends up improving our mental health. Not only do you help someone but you're also helping yourself.

Kinda like volunteering. You're not required to volunteer at all. However, in doing so you're benefiting whatever you're volunteering for AND you end up feeling really good for helping out.

Answer:

Step-by-step explanation:

51+90=141.3

180-141.3=38.7

90+38.7+51.3

So 4 and a number equal 90 degrees.

51.3 degrees are the number of 4 and c^2

We can use the Pythagorean theorem to find out that a^2 is 16

16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.

a=51.3

b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.

Meaning it will be 7.02

7.02+4=11.02

Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis

We use the order of operations, also known as PEMDAS.

Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.

After distributing, the equation looks like this and we can solve it from there:

4x + 12 = 30

The length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.

The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.

An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.

The figure of the problem is attached below. The length of AB which is L has to be find out.

The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°. Thus, the angle ABC is 30 degrees.

[tex]AB=90-60\\AB=30^o[/tex]

The sum of all the interior angle is 180 degree. Thus, the angle ACB is,

[tex]\angle ACB=180-50-30\\\angle ACB=100^o\\[/tex]

Let suppose, the length of AB is a. Thus, by the sine law,

[tex]\dfrac{\sin 30}{a}=\dfrac{\sin 100}{88}\\a=\dfrac{88\times\sin 300}{\sin 100}\\a=447\rm\; in[/tex]

Thus, the length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.

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Answer:

282.74

Step-by-step explanation:

Answer:

[tex]\fbox{Surface area of cylinder = 282.6 sq. in.}[/tex]

Step-by-step explanation:

Given:

Shape of object = cylinder

height of cylinder= 4 inches

radius of cylinder= 5 inches

To find:

surface area of cylinder = ?

Solution:

we know that,

[tex]surface \: area \: of \: cylinder =2\pi{rh} + 2\pi {r}^{2}\\Substituting \:the \:constant\: (π =3.14)\\and \:given\: data,\\2\pi{rh} + 2\pi {r}^{2} \: =\\ 2×3.14×5×4+2×3.14× {5}^{2} \\2\pi{rh} + 2\pi {r}^{2} = 125.6 + 157 \\ 2\pi{rh} + 2\pi {r}^{2} = 282.6\\ \fbox{Surface area of cylinder = 282.6 sq. in.}[/tex][/tex]

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Answer:

That's not full question

Answer:

1/4, 3/6, 2/5, 2/3.........

4³/(-12+2²) / (2×3)²+(-5×2×3)+2

= 64/ (-12+4) / (4×9)+(-5×2×3)+2

= 64/ (-12+4) / 36+(-30)+2

= 64/8 / 8

= 8 /8

=1

[tex](\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}[/tex]

Answer:

A. a transformation that either reduces or enlarges an object in the coordinate plane

Step-by-step explanation:

The definition of dilation is the size of an object/shape by increasing/ decreasing its dimensions by scaling factors.

Dialtions do not flip and object, spin it, or slide it. It's dimensions are either enlarged, or reduced. Therefore, option A makes the most sense.

Answer:

Step-by-step explanation:

The distributive property is for example 3(2*4) the outside number multiplies everything inside the parenthesis. For the communitive, its like opposites, but they give the same answer, for example 4*5, 5*4. And for associative is like the distributive property, but not at the same time, for example,  (a*b)*c = a*(b*c) it has the numbers, but pluged in in another type of way


Hope this helps!

Answer: C

Step-by-step explanation:

1% of Rs. 400 = 4

10% of Rs.400 = 40

5%= 20

400+20= Rs. 420 was the price the person may have bought it for

To get a 6% profit, we need to add 6% on top of the price the chair was bought for by the owner

so...

420+ 5% +1%

so..

420+20+4= 444

The answer has come to 444 whereas it is not an option as a possible answer and I am unable to see a miscalculation in my working so if anyone spots a mistake it would be much appreciated. I have gotten a value close to one of the possible answers therefore I think the answer most probably should be "C" according to my working, however it may be  that the person typing in the question may have written the incorrect options.  Either way I have come to a conclusion and if it happens to be a typing error my maths was correct, if no, someone please reach out to me and help me identify where I have gone wrong, Thank you.

Find equation of old line first

Equation in slope intercept form

Translated 4units left(x+4)

Translated 6 units up(y intercept +6)

Put it.

Answer:

  y = -3x -2

Step-by-step explanation:

The equation of the given line, with slope -3 and y-intercept 4, can be written in slope-intercept form as ...

  y = -3x +4

When the line is translated by (h, k), it can be written as ...

  (y -k) = -3(x -h) +4

__

Here, we want to translate the line -4 in the x-direction and 6 in the y-direction. That is, (h, k) = (-4, 6). Using these values in the above equation, we have ...

  y -6 = -3(x -(-4)) +4

  y = -3x -12 +4 +6 . . . . simplify, add 6

  y = -3x -2

__

The attached graph shows the original line (red) with its y-intercept, and the translated line (green) with that y-intercept moved 4 units left and 6 units up.

Answer:

See step by step explanation

Step-by-step explanation:

To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term

to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2

the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
[tex]2*2^{n-1}[/tex] is our equation

We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
[tex]2*2^{7-1}=2*2^6=2^1*2^6=2^7=128[/tex], so our equation works

Here's a practice problem

for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?

a harder practice problem:

for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?

Yes we can

the formula given to find the terms is

Where

Answer:

This is an exponential function equation.

Therefore,

The 2 represents: Original amount (Y-intercept)

The 3 represents: Growth factor or (1+r)

Answer:

17/4 is 4 ¼ as a mixed fraction

Step-by-step explanation:

hope this helps

Answer:

(3−5)(+1)

Step-by-step explanation:

I hope this helps you and please mark me as brainliest

Answer:

The answer is ( p + 1 ) ( 3p - 5 )

Step-by-step explanation: