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2 years ago

100 points! PLEASE ANSWER!

Mathematics

1 answer:

german2 years ago

7 0

Answer:

x + y = 36 (1)

7x + 4y = 216 (2)

Step-by-step explanation:

Quanrity of Holiday blend = 36 pounds

Cost per pound of the blend = $6.00

Cost of chocolate chips = $7.00 per pound

Cost of pretzels = $4.00 per pound

Let

Pounds of chocolate chips = x

Pounds of pretzels = y

x + y = 36 (1)

7x + 4y = 36 × $6.00

7x + 4y = 216 (2)

The system of equation is

x + y = 36 (1)

7x + 4y = 216 (2)

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2 years ago

Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like.

stepladder [879]

The length of the curve $y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

$y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6

Start by differentiating the curve function

$y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x$

Evaluate

$y' = x(9x^2 + 6)^\frac 12$

The length of the curve is calculated using:

$L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx$

This gives

$L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx$

Expand

$L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx$

This gives

$L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx$

Express as a perfect square

$L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx$

Evaluate the exponent

$L =\int\limits^6_3 {3x^2 + 1} \ dx$

Differentiate

$L = x^3 + x|\limits^6_3$

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

Read more about curve lengths at:

brainly.com/question/14015568

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1 year ago

Shape that s not trapezoid

neonofarm [45]

Answer:hexagon square

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

3 1/9+2 1/4=<br> what is the answer

34kurt

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Step-by-step explanation:

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2 years ago