Shawna cuts out a square piece of card stock paper for a project. Her partner Tanisha wants to check to see if the cutout is actually a square. Tanisha checks to see if the diagonals are congruent. Does this determine if the piece of card stack paper is an actual square? Justify your answer.

Answer:

[tex] p = {8}^{7}[/tex]

Step-by-step explanation:

[tex](8^9)p = 8^{16 } \\ \\ p = \frac{8^{16 } }{8^{9 } } \\ \\ p = {8}^{16 - 9} \\ \\ \huge \red{ \boxed{p = {8}^{7} }}[/tex]

Answer:

Okay, So neither a spade nor a jack.

Total no. of cards in adeck =52  

Number of spades =13  

Total number of non-spades out of  52  cards  =52−13=39  

Number of jack out of 52  cards =4  

Number of jack in each of three suits namely hearts, diamonds and clubs =  3  

[Since, 1 jack is already included in the 13 spades so, here we will take number of jacks is  3 ]

Neither a spade nor a jack  =39−3=36  cards in total.

Therefore, probability of getting ‘neither a spade nor a jack’=

NumberoffavorableoutcomesTotalnumberofpossibleoutcome  

=(362)/(522)  

=630/1326=105/221

Step-by-step explanation:

I hoped i helped i might have put to much but there u go!!

Answer:

-2/3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Parallel line has same slope

Finding b using the given point (-10, 3)

So the line is:

Answer:

[tex]Side\ 3 = 6x - 7[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 17x - 5[/tex]

[tex]Side\ 1 = 3x + 5[/tex]

[tex]Side\ 2 = 8x - 3[/tex]

Required

Determine the length of the third side

The perimeter of a triangle is calculated as thus:

[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]

Substitute values for Perimeter, Side 1 and Side 2

[tex]17x - 5 = 3x + 5 + 8x - 3 + Side\ 3[/tex]

Collect Like Terms

[tex]17x - 5 = 3x + 8x + 5 - 3 + Side\ 3[/tex]

[tex]17x - 5 = 11x + 2 + Side\ 3[/tex]

Solve for Side 3

[tex]Side\ 3 = 17x - 11x - 5 - 2[/tex]

[tex]Side\ 3 = 6x - 7[/tex]

Hence, the length of the third side is 6x - 7 units

Answer:

3

Step-by-step explanation:

Answer:

$5.95

Step-by-step explanation:

To get the discounted price, we need to find how much is taken off from the regular price.

x/8.50=30/100

30×8.50=255

255/100=2.55

$2.55

Next, we need to subtract $2.55 from $8.50 to get the discounted price.

8.50-2.55=5.95

$5.95

$5.95 is the discounted price.

I hope this helped! :)

Answer: 5.95 dollars  

Step-by-step explanation:

Answer:

whole numbers probably

Answer:

294

Step-by-step explanation:

The distributive property for multiplication is as follows :

a(b+c) = ab + ac

We need to evaluate 6 times 49 i.e. 6(49).

We can write 49 as (50-1)

6(50-1) = 6(50+(-1))

Here, a = 6, b = 50 and c = -1

So,

6(50+(-1)) = 6(50) + 6(-1)

= 300-6

= 294

So, answer is 294. Option (A) is somehow correct.

Answer:

Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

Step-by-step explanation:

If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday

Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x

On Thursday, they made twice as many as any of the previous days.

= 2x

Hence:

x + x + x + 2x = 20 gallons

5x = 20 gallons

x = 20 gallons/5

x = 4 gallons

Note that:

Thursday = 2x

Hence, = 2 × 4 gallons = 8 gallons

Hence, Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

Answer:

B is the answer.

First you do 38.25 divided by 3 and you get 12.75, And option B is 12.75

Answer:

156.4 would be your answer

Step-by-step explanation:

3,910/25

15.6

Answer:

$4.25

Step-by-step explanation:

First, find the cost to rent 9 video games by plugging in 9 as x:

f(x) = 1.25x + 4

f(9) = 1.25(9) + 4

f(9) = 15.25

So, it will cost $15.25. Since James already has $11, we can find how many more dollars he will need by subtracting 11 from 15.25:

15.25 - 11

= 4.25

So, James will need $4.25 more dollars

Answer:

$4.25 more dollars

Step-by-step explanation:

f(x)=1.25x+4

James wants 9 video games, so 9 would be x

1.25(9) = 11.25

then you add the fixed cost of 4

11.25+4 = 15.25

He has $11, so 15.25 - 11 = 4.25

Meaning he needs $4.25 more dollar to rent 9 video games

Answer:

yes

Step-by-step explanation:

(3^4)^4

this is the same as 3^(4x4)

3^16

3^8x3^8

since they are the same base just add the exponent to get

3^16

Answer:A true

Step-by-step explanation:

Answer:

24.44°

Step-by-step explanation:

The set up will give a right angled triangle.

Given

The length of the hill (hypotenuse) = 2900feet

Vertical height (opposite) = 1200feet(That side is opposite the angle of elevation)

According to SOH;

sin theta = opp/hyp

Sin theta = 1200/2900

Sin theta = 12/29

Sin theta= 0.4138

theta= arcsin(0.4138)

theta = 24.44°

Hence the angle of elevation from the base to the top of the mountain is 24.44°

Answer:

its a

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

This is calculated by putting them in a ratio

Russ's car : Mike's car

9.8 miles per gallon : 39.2 miles per gallon

Converting to fraction

= 9.8/39.2

= 1/4

Hence, we have the ratio:

1 : 4

Hence, Mike's car averages Russ's car 4 times more in miles per gallon

Answer:

The equation of the line is y = [tex]\frac{3}{2}[/tex] x ⇒ D

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

∵ The line passes through the origin (0, 0) and point (4, 6)

∴ x1 = 0 and y1 = 0

∴ x2 = 4 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{4-0}=\frac{6}{4}=\frac{3}{2}[/tex]

∴ m = [tex]\frac{3}{2}[/tex]

→ Substitute it in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

∵ The line passes through the origin

∴ The y-intercept = 0

∴ b = 0

→ Substitute it in the equation

∵ y = [tex]\frac{3}{2}[/tex] x + 0

∴  y = [tex]\frac{3}{2}[/tex] x

∴ The equation of the line is y = [tex]\frac{3}{2}[/tex] x

Answer:

y=10+4x

Step-by-step explanation:

Answer:

Equation is: 4(x - 16) = 48

Amount each received = $28

Step-by-step explanation:

We are told that the foot brothers received the same amount of money to go to the movies.

Let's say they each receive "x" in amount.

Which means total amount is;

x + x + x + x

Now,we are told that each boy spent $16.

Thus,amount left after spending is;

(x - 16) + (x - 16) + (x - 16) + (x - 16) = 4(x - 16)

We are told this amount after spending was $48 altogether. Therefore;

4(x - 16) = 48

Divide both sides by 4 to get;

x - 16 = 48/4

x = 16 + 12

x = $28

Answer:

Step-by-step explanation:

First start by finding the values of the numbers being multiplied together.

5^-2 = 25

This equals a positive 25 because when ever you multiply a negative by a negative it always equals a positive number. -5 x -5 = 25

[tex]\sqrt[3]{8}[/tex] = 2

This is asking what x what x what equals eight. Remembering that the square root of 4 is 2. We can determine that since 4 x 2 = 8 the cube root of 8 is 2.

2 x 2 x 2 = 8 and 8 divided by 2 divided by 2 = 2

So now solve the equation we have now. 25 x 2 =?

25 x 2 = 50

And 50 is our answer.

Answer:

2/5 is the slope

Step-by-step explanation:

Answer: y= [tex]\frac{2}{5}x + 2[/tex] would be the equation the slope would be 2/5x

Answer:

The first answer.

Step-by-step explanation:

-4, .075, 2.23, and 3. All you really needed was to know the square root of 5

Answer:

Step-by-step explanation:

Function given

Each game costs $0.5 so 10 games cost 10*0.5 = $5

Therefore when 10 games downloaded, no money is left on the card.

Correct choice is: B

Answer:

A. 123 minutes

Step-by-step explanation:

Answer:

y=mx+b 2=(-3)(-3)+b

2=9+b -7=b

Answer

4.5 centimeters2

Step-by-step explanation:

Answer: 4.5

Step-by-step explanation: To find area, you must multiply the length and width. 3 x 1.5 = 4.5  Hope this helps!