Monika is in charge of ordering pens for an upcoming convention. Pens
come in boxes of 6 and boxes of 8 and Monika needs at least 720 pens.
Which inequality describes this situation?
x = number of boxes of 6 pens
y = number of boxes of 8 pens

Answer:

using pythagoras theorem

H^2=P^2+B^2

here h=MN ,opposite(P) be 15 and adjacent(B) be 16

(MN)2=15^2+16^2

(MN)^2=225+256

MN=[tex]\sqrt{481}[/tex]

MN=21.93

after rounding off MN=21.9

Step-by-step explanation:

Answer:

Number of juice boxes people drank at Williams party = 91

Step-by-step explanation:

Total juice boxes Williams bought = 114

Juice boxes left over at the party = 23

How many juice boxes did people drink at William's party?

Number of juice boxes people drank at Williams party = Total juice boxes Williams bought - Juice boxes left over at the party

= 114 - 23

= 91

Number of juice boxes people drank at Williams party = 91

Answer:

$29,750

Step-by-step explanation:

theres not picture so like i cant help u with that

Answer:

that looks good

Step-by-step explanation:

Answer:

[tex]x=\frac{23}{7}- \frac{y}{7}[/tex]

Step-by-step explanation:

2x + 3y = 12

5x - 2y = 11

2x + 3y + 5x - 2y = 11 + 12

7x + y = 23

[tex]x=\frac{23}{7}- \frac{y}{7}[/tex]

Answer:

D $175

Step-by-step explanation:

Answer:

A turtle.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

180/147

Step-by-step explanation:

We need to find the additive inverse of the given numbers.

SOLUTION 1 :-

→ 3/-7 - 11/21

→ -3/7 -11/21

→ 3×-3 - 11 /21

→ -9-11/21

→ -20/21

SOLUTION 2 :-

→ 9/5 ÷ 7/5

→ 9/5 × 5/7

→ 9/7

→ Product of nos . = -20/21 × -9/7

→ Ans = 180/147

Answer:

A on Edge

Step-by-step explanation:

Just took the test and got a 100

The graph that represents the following piecewise defined function is of f(x) = x; x <-2 , -2; -2 < or = to x < or = to 1, x-3; x> or = to 1 is the first graph (Image attached)

A piecewise function is known to be a function that has been formed from pieces of a lot of functions over a lot of intervals.

An example, we can say a piecewise function f(x) where f(x) = -7 when -7 < x ≤ -4, f(x) = 4 when -4 < x ≤ -1, and f(x) = -5 when -1 <x ≤ 7.

The option that best explain the piecewise defined function is the image attached.

Learn more about piecewise defined function from

https://brainly.com/question/26145479

Answer:

16

Step-by-step explanation:

if 5 white cups and 8 green 10 white cups and 16 green

5 × 2 = 10

8 × 2 = 16

Answer:

16

Step-by-step explanation:

Because 5*2=10 so 8*2=16.

Have a great day. And be you.

So sorry I messed it up I let you down :(

Answer:

55 cm²

Step-by-step explanation:

In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)

So the top and bottom base are both 9, and the left and right sides are both 5.

So, to solve, we need to use the equation:

(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²

Answer:

249cm or the third option

Step-by-step explanation:

I got it right on the test.  Good luck to you!

Answer:1 1/5

Step-by-step explanation:

1/5 x 6/1 = 6/5

6/5 is improper so it would be changed to 1 1/5

hope this helps!

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

We can express 6 as [tex]\frac{6}{1}[/tex] , then

[tex]\frac{1}{5}[/tex] × 6

= [tex]\frac{1}{5}[/tex] × [tex]\frac{6}{1}[/tex]

= [tex]\frac{1(6)}{5(1)}[/tex]

= [tex]\frac{6}{5}[/tex]

Answer:

The statement is false.

Step-by-step explanation:

A parallelogram is a figure of four sides, such that opposite sides are parallel

A rectangle is a four-sided figure such that all internal angles are 90°

Here, the statement is:

"A rectangle is sometimes a parallelogram but a parallelogram is always a

rectangle."

Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.

The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.

The correct statement would be:

"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"

Answer:

The volume is 8

Step-by-step explanation:

Volume=abc

V=(2/5)(2/5)(2/5)

V=8

Answer:

5

Step-by-step explanation:

Answer:

1 / 3

Step-by-step explanation:

Bag 1 :

Yellow = 3

Green = 2

Red = 1

Total = 3 + 2 +1 = 6

Bag 2 :

Yellow = 3

Green = 3

Red = 3

Total = 3 + 3 + 3 = 9

P(not yellow from bag 1) = (green + red) / total = 3 /6 = 1/2

P(not yellow from bag 2) = (green + red) / total = 6/9 = 2 /3

P(neither is yellow) = 1/2 * 2/3 = 2 / 6 = 1/3

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

[tex]n(U)=27[/tex]

[tex]n(A)=7[/tex]

[tex]n(B)=18[/tex]

[tex]n(A'\cap B')=7[/tex]

We know that,

[tex]n(A\cup B)=n(U)-n(A'\cap B')[/tex]

[tex]n(A\cup B)=27-7[/tex]

[tex]n(A\cup B)=20[/tex]

Now,

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]20=7+18-n(A\cap B)[/tex]

[tex]n(A\cap B)=7+18-20[/tex]

[tex]n(A\cap B)=25-20[/tex]

[tex]n(A\cap B)=5[/tex]

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

[tex]\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}[/tex]

[tex]\text{Probability}=\dfrac{5}{27}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{27}[/tex].

Answer:

The base of the triangle has a length of 26 meters, and the height of the triangle has a length of 13 meters.

Step-by-step explanation:

Equation to find the height: [tex]\frac{2x*x}{2} = 169[/tex] ⇒ [tex]x^2=169[/tex] ⇒ [tex]x=13[/tex] meters.

Answer:

31). Maximum height = 100 feet

32). Time to hit the ground = 5 seconds

Step-by-step explanation:

31). Equation modeling the height 'h' of the ball is,

     h = -16t² + 80t

     For the maximum height of the ball,

     Find the derivative of 'h' with respect to time 't' and equate it to zero.

     [tex]\frac{dh}{dt}=\frac{d}{dt}(-16t^2+80t)[/tex]

          [tex]=-32t+80[/tex]

     [tex]\frac{dh}{dt}=0[/tex]

     [tex]-32t+80=0[/tex]

     [tex]t=\frac{80}{32}[/tex]

     [tex]t=2.5[/tex] seconds

     That means after 2.5 seconds ball will reach the maximum height.

     By substituting [tex]t=2.5[/tex] in the equation,

     [tex]h=-16(2.5)^2+80(2.5)[/tex]

     [tex]h=100[/tex] feet

     Therefore, maximum height achieved by the ball is 100 feet.

32). If the ball follows the parabolic path,

      Time taken by the ball to reach the maximum height = Time taken by  the ball to come back to the ground from the maximum height.

      Time taken by the ball to hit the ground = 2(2.5) = 5 seconds

Answer:

9:30am

Step-by-step explanation:

To find what time simply add all of the minutes together and subtract. All of the steps take 100 minutes to do. 11.10 am is 670 minutes. So 670 - 100 = 570 then divide by 60 to get the time ie 9:30 am

Answer:

Okay done

Step-by-step explanation: