3√10 x 2√15 = <br> i need the steps too please it’s for algebra 2.

Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. Th

mote1985 [20]

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

L is the length of the rectangle
W is the width of the rectangle

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = $\frac{1}{3}$ yard

∴ 1 foot² = $(\frac{1}{3})^{2}=\frac{1}{9}$ yard²

∴ 15 feet² = 15 × $(\frac{1}{9})$ = $\frac{5}{3}$ yards²

∴ The area of the blanket is $\frac{5}{3}$ yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost = $\frac{5}{3}$ × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

7 0

4 years ago

Analyze the diagram below and complete the instructions that follow.

Setler [38]

Your Answer is A. 7 Hope this helps :D

5 0

4 years ago

Which ordered pairs are solutions to the system of inequalities?

IRISSAK [1]

Answer:

C, D

Step-by-step explanation:

We can solve this graphically and analytically.

Graphically, looking at the attached image below, if we graph the two inequalities and plot the points, you can find the points which are solutions by finding the points in the overlapping area.

This obviously excludes A as it only appears in $y \geq x+2$

C is included as y $\geq x+2$ includes the point on the line.

D is obviously a solution.

B is however not a solution because is lies on the line $y = \frac{-5x}{2} - 3$ , which the inequality excludes.

Analytically, if we can find one of the two inequalities where it is not a solution, it is not a solution of the system.

A: (0, 0)

$y \geq x+2\\0 \geq 0 + 2\\0 \geq 2\\false$

A is not a solution

B: (-2, 2)

$y \geq x+2\\2 \geq -2 + 2\\2\geq 0\\true$

$y > \frac{-5x}{2} -3\\2 > \frac{-5(-2)}{2} - 3\\2 > 5 - 3\\2 > 2\\false$

B is not a solution

C: (0, 2)

$y \geq x+2\\2 \geq 0 + 2\\2 \geq 2\\true\\\\y>\frac{-5x}{2}-3\\2 > -3\\true$

C is a solution

D:

$y \geq x + 2\\6 \geq -1 + 2\\6 \geq 1\\true\\\\y > \frac{-5x}{2} - 3\\6 > \frac{-5(-1)}{2} - 3\\6 > \frac{5}{2} - \frac{6}{2}\\6 > \frac{-1}{2}\\true$