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frozen [14]
2 years ago
5

Spiral Review A 5-pound bag of organic brown rice costs $12.99. A 12-pound bag of the same type of rice costs $31.99. Which repr

esent the better buy? Explain.
Mathematics
1 answer:
Assoli18 [71]2 years ago
7 0

Answer:

$12.99 for 5 pounds is a better deal

Step-by-step explanation:

for the first case

a 5 lb bag costs $12.00

the unit price (i.e dollars per pound) for this is :

unit price = $12 / 5 lb = $2.40 per pound

for the second case,

a 12 lb bag costs $31.99

similarly, the unit price for this case is :

unit price = $31.99 / 12 lb = $2.67per pound

if we compare the 2 unit price, it is clear that $2.40 per pound is a better deal than $2.67 per pound, hence $12.99 for 5 pounds is a better deal

Hope this helps!

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Simplify \root(3)(8x^(6))y^(12)
ExtremeBDS [4]

The simplification form of the provided expression is 2x²y⁴ option first is correct.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= \rm \sqrt[3]{8x^6y^{12}}

\rm =\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^{12}}

\rm \rm = \rm 2\sqrt[3]{x^6}\sqrt[3]{y^{12}}

\rm =2x^2\sqrt[3]{y^{12}}

\rm =2x^2y^4

Thus, the simplification form of the provided expression is 2x²y⁴ option first is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

4 0
3 years ago
BRAINLIEST ANSWER WINS! A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is sh
bekas [8.4K]

Answer:

D. x²/1953²  + y²/ 1466² = 1

Step-by-step explanation:

==>Given:

Radius of spherical moon = 1000km

Distance of satellite from moon surface = 953km to 466km

==>Required:

Derived equation of ellipse

==>Solution:

The formula for driving an equation of ellipse is given as:

x²/a² + y²/b² = 1

Where,

a = length of the semi-major axis, while,

b = length of the semi-major axis

Since we are told that the satellite distance to the surface of the moon varies from 953km to 466km, values of a and b is calculated by summing each length to the radius of the moon as follows:

a = radius of moon + the larger distance of the satellite = 1000+953 = 1,953km

b = radius of moon + the smaller distance of the satellite = 1000+466 = 1,466km

Thus, the equation of the ellipse would be:

x²/1953²  + y²/ 1466² = 1

8 0
3 years ago
.04 is 1/10 of what number?
Colt1911 [192]
Let, the number = x
So, x * 1/10 = 0.04
x = 0.04 * 10
x = 0.4

So, your final answer is 0.4

Hope this helps!
3 0
3 years ago
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 23-1 inches. She pl
Sergio [31]

Answer:

D. 4(2x² + 4x - 6); 130.0 inches

Step-by-step explanation:

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?

2x2+4x−6; 22.0 inches

2x2+4x−6; 32.5 inches

4(2x2+4x−6;) 88.0 inches

4(2x2+4x−6;) 130.0 inches

Perimeter of a square = 4 * side length

1- First square pillow

length = 2x²+1 in

Perimeter of first pillow = 4 * (2x²+1) in

Second square pillow

length = 4x-7 in

Perimeter of second pillow = 4(4x-7) in

Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow

Total ribbon length required = 4(2x²+1) + 4(4x-7)

Factorise

4 is the common factor

=4(2x²+1)+(4x-7)

=4(2x²+1+4x-7)

=4(2x²+4x-6)

Total ribbon length required=4(2x²+4x-6)

If x=3.5

Total ribbon length required=4(2x²+4x-6)

=4{2(3.5)²+4(3.5)-6}

=4{2(12.25)+14-6)

=4(24.5+14-6)

=4(32.5)

=130.0 inches

6 0
3 years ago
Plot triangle ABC with coordinates A(-4,5),B(-1,5),C(-1,1)​
slavikrds [6]

Answer:

:D

Step-by-step explanation:

5 0
3 years ago
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