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3 years ago

5

A movie rental kiosk charges a $25 membership fee and $3 per movie. An online movie service charges a $20 membership fee and $4

per movie. how many movies do you need to rent for the costs to be the same? What is the cost? Explain your reasoning.

1 answer:

mylen [45]3 years ago

7 0

25+3m=20+4m
25=20+m
5=m

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Which of the following measurements could be the side lengths of a right triangle?

KatRina [158]

Answer:

B. √96 in, √24 in, √120 in

Step-by-step explanation:

Use Pythagorean to verify:

The square of the two smallest lengths is same as the square of the largest side

A. 108 + 72 = 180 ≠ 192, no
B. 96 + 24 = 120, yes
C. 132 - 24 = 108 ≠ 120, no
D. 168 - 72 = 96 ≠ 84, no

Correct choice is B

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2 years ago

Nadine received the same score on each turn in an online game. Her score on each turn was −24. She had 4 turns.

m_a_m_a [10]

Answer:

Step-by-step explanation:

-24 x 4 = -96

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2 years ago

Read 2 more answers

Help plz will mark brainliest!

gizmo_the_mogwai [7]

Answer:

94 cm^2

Step-by-step explanation:

The surface area of a rectangular prism can be found using:

A=2(wl+hl+hw)

We know the width is 3, the height is 5, and the length is 4. We can substitute 3 in for w, 5 in for h, and 4 in for l.

A=2((3*4)+(5*4)+(5*3))

Multiply 3 and 4

A=2(12+(5*4)+(5*3))

Multiply 5 and 4

A=2(12+20+(5*3))

Multiply 5 and 3

A=2(12+20+15)

Add 12 and 20 and 15

A=2(47)

Multiply 2 and 47

A=94

So, the the surface area is 94 cm^2

3 0

2 years ago

A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t

Bogdan [553]

Answer:

$\displaystyle A=\frac{3h^2}{2}+h$

Step-by-step explanation:

<u>Area of trapezoid</u>

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

$\displaystyle A=\frac{b_1+b_2}{2}\cdot h$

The dulcimer has the following dimensions

$b_1=2h+1$

$b_2=h+1$

and height h

Thus

$\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h$

Operating

$\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h$

$\boxed{A=\frac{3h^2}{2}+h}$

Is the required polynomial

8 0

3 years ago

. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a

crimeas [40]

Answer:

The base and height of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, <em>A</em> = 24 ft².

The base height of the garden are:

base (<em>b</em>) = 6x - 4

height (<em>h</em>) = x + 3

Compute the value of <em>x</em> as follows:

$A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\$

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

$x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{ 3 } \pm \frac{ \sqrt{139}\, }{ 3 }\\x = 1.59661\\x\approx 1.60$

The value of base and height are:

$\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}$

Thus, the base and height of the garden are 4.60 ft and 5.60 ft.

3 0

3 years ago