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3 years ago

12

Calculate the area of a 3-inch by 5-inch photo. What would be the area if it is enlarged by a scale factor of 2? What would be t

he area if reduced by a scale factor of 1/2?

1 answer:

Olegator [25]3 years ago

7 0

3 inch by 5 inch
A = L * W.....A = 3 * 5....A = 15 inches^2

if it is enlarged by a scale factor of 2...
3 x 2 = 6
5 x 2 = 10
Area = L * W......A = 6 * 10...A = 60 inches^2

if reduces by a scale factor of 1/2..
3 x 1/2 = 3/2 = 1.5
5 x 1/2 = 5/2 = 2.5
A = L * W....A = 1.5 * 2/5....A = 3.75 inches^2

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An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly

Sonja [21]

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

$R = -400x^{2} +7200x+70000$

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

10,000 members
$7 per month for membership
Loses of 400 members by each $1 monthly increase

How the variable $x$ represents the price increase, we can do the formula below:

$(10000 - 400x) * (7+x)$

In this formula, we represent in the first part that by each 1 in the variable $x$ , the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of $x$ . Now we must simplify this function:

$(10000 - 400x) * (7+x)$

We operate the values:

$70000+10000x-2800x-400x^{2}$

Solve we can:

$70000+7200x-400x^{2}$

And organize:

$-400x^{2} +7200x+70000$

At the end, how $R$ represents the monthly revenue received by the club, we use that variable for our formula:

$R=-400x^{2} +7200x+70000$

4 0

3 years ago

4 The ratio of corresponding dimensions of two similar solids is 3/4. The surface

White raven [17]

4.

The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

$\sf (\dfrac{3}{4})^2=\dfrac{S}{96}$

Simplify the exponent:

$\sf \dfrac{9}{16}=\dfrac{96}{S}$

Cross multiply:

$\sf 9S=1536$

Divide 9 to both sides:

$\sf S\approx 170.7~m^2$

So the surface area of the second solid is 54 square meters.

The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:

$\sf (\dfrac{3}{4})^3=\dfrac{720}{V}$

Simplify the exponent:

$\sf \dfrac{27}{64}=\dfrac{720}{V}$

Cross multiply:

$\sf 27V=46080$

Divide 64 to both sides:

$\sf V\approx 1706.7~m^3$

5.

A globe is a sphere, use the formula for the volume of a sphere:

$\sf V=\dfrac{4}{3}\pi r^3$

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

$\sf V=\dfrac{4}{3}(3.14)(20)^3$

Simplify the exponent:

$\sf V=\dfrac{4}{3}(3.14)(8000)$

Multiply:

$\sf V\approx \boxed{\sf 33,493~in^3}$

6 0

4 years ago

Read 2 more answers

If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.

emmasim [6.3K]

25.30×.08=20.24
The answer is $20.24.

7 0

3 years ago

How do you right 34 and 12 hundredths in decimal form

andreev551 [17]

34.12 is besuse if you see the place value chart

8 0

4 years ago

A small pizza has an 8-in. Diameter a large pizza has a 15-in. Diameter. The pizzeria charges the same price per square inch for

vlabodo [156]

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

Step-by-step explanation:

The given is,

A small pizza has an 8-inches in diameter

A large pizza has a 15-inches in Diameter

The small pizza cost $7

Step:1

Area of smaller pizza,

$Area, A_{S} = \pi r^{2}$ ...................................(1)

Where, r - Radius of small pizza

From given, $r=\frac{d}{2}$

$= \frac{8}{2}$

r = 4 inches

Equation (1),

$A_{S} = \pi 4^{2}$

$=(3.14)(16)$ ( ∵ $\pi$ =3.14 )

$= 50.24$ Square inches

Step:2

Area of smaller pizza,

$Area, A_{L} = \pi r^{2}$ ...................................(1)

Where, r - Radius of small pizza

From given, $r=\frac{d}{2}$

$= \frac{15}{2}$

r = 7.5 inches

Equation (1),

$A_{S} = \pi 7.5^{2}$

$=(3.14)(56.25)$ ( ∵ $\pi$ =3.14 )

$= 176.625$ Square inches

Step:3

Cost of pizza per square meter,

$= \frac{Cost of small pizza}{Area of small pizza}$

$=\frac{7}{50.24}$

= $ 0.1393 per square meter

$Cost of Larger pizza = Area of Larger pizza$ × $Cost per square meter$

$= (176.625)(0.139331)$

= $24.62

Result:

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

6 0

4 years ago