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3 years ago

7

Juan is organizing textbooks on his bookshelf. He three textbooks. How many different ways can he line the textbooks up on his b

ookshelf?

1 answer:

Serga [27]3 years ago

3 0

Hw can line them up vertically, horizontally, or diagonally

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Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry

Sophie [7]

Answer:

see below

Step-by-step explanation:

Clearly, if you turn the figure sideways or upside down (rotate 90° or 180°), you do not have the same figure. It has no rotational symmetry.

However, if you reverse it left-to-right, you get exactly the same figure. So, it has line symmetry about a vertical center line.

5 0

3 years ago

wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be $x$

and Rose's age will be $y$

"Ivy is half as old as her sister":

$x=\frac{y}{2}$

this will be our <u>fist equation.</u>

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have $x+6$ years, and Rose will have $y +6$ years, so for this sentence we have the equation:

$x+6=\frac{2}{3}(y+6)$

this will be our <u>second equation.</u>

Substituting the value of x from the first equation into the second, and solving for y(Rose):

$\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y$

Rose is 12 years old.

and Ivy (using the fist equation):

$x=\frac{12}{2}=6$

Ivy is 6 years old.

6 0

3 years ago

The profit (P) in dollars, for a company is modeled by the function P(x)=-750x^2+15,000x,where x is the number of items produced

OLEGan [10]

$-750x^2+15000x$

But x must be a natural number, so the answer is $x>20$ .

5 0

3 years ago

Which expression shows the resuit of applying the distributive property to 12(5y+4)

Alex Ar [27]

Answer:

60y+48

Step-by-step explanation:

Multiply both terms inside the parentheses by 12

6 0

3 years ago

Read 2 more answers

your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it w

diamong [38]

I would be better to purchase whole onions at $1.99 per pound, and cut them yourself

<h3>Optimization of cost</h3>

Number of bowls = 50

Weight of each bowl = 8

Total weight of the onion soup = 8 x 50 = 400 ounces

Note that:

1 pound = 16 ounces

Total weight in pounds = 400/16

Total weight in pounds = 25 pounds

If you buy the whole onions and purchase at $1.99 per pound

Total cost = 25 x 1.99 = $49.75

If you purchase pre-sliced onions at $2.99 per pound

Total cost = 25 x $2.99 = $74.75

Since it is cheaper to purchase whole onions at $1.99 per pound, it is the better choice

Learn more on cost optimization here: brainly.com/question/27468665

#SPJ1

6 0

2 years ago