Choose True or False for each equation for x = 6.

Answer:

1) The value of [tex]x[/tex] is 12.

2) The length of the diagonal is 49.

Step-by-step explanation:

1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:

[tex]5\cdot x - 11 = 2\cdot x + 25[/tex] (1)

We need some algebraic handling to determine the value of [tex]x[/tex]:

[tex]5\cdot x - 11 = 2\cdot x + 25[/tex]

[tex]5\cdot x - 2\cdot x = 25 +11[/tex]

[tex][5+(-2)] \cdot x = 36[/tex]

[tex]3\cdot x = 36[/tex]

[tex]x = 12[/tex]

The value of [tex]x[/tex] is 12.

2) If we know that [tex]x = 12[/tex], then the length of the diagonal ([tex]d[/tex]) is:

[tex]d = 2\cdot x + 25[/tex]

[tex]d = 49[/tex]

The length of the diagonal is 49.

Answer:

1938

Step-by-step explanation:

Answer:

The answer is 5 3/4

Step-by-step explanation:

13/4 = 3 1/4

3 1/4 + 2 2/4 = 5 3/4

Hope this helped you!

Answer:

12.4 units

Step-by-step explanation:

We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance

= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)

For side A

(-5 , -1) (-2, -1)

= √(-2 -(-5))² + (-1 - (-1))²

= √(-2 + 5)² + (-1 + 1)²

= √3² + 0

= √9

= 3 units

For side B

(-2, -1), (-3,-4)

= √(-3 -(-2))² + (-4 -(-1))²

= √(-3 + 2)²+ (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

For side C

(-3,-4), (-6,-4).

= √(-6 -(-3))² + (-4 - (-4))²

= √(-6 + 3)² + (-4 + 4)²

= √-3² + 0²

= √9

= 3 units

For side D

(-5 , -1), (-6,-4)

= √(-6 - (-5))² + (-4 - (-1))²

= √(-6 + 5)² + (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

From the above calculation , we can see that,

side A = side C

side B = side D

The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)

= 2(3 + 3.2) units

= 2(6.2) units

= 12.4 units

Answer:

A. 66

Step-by-step explanation:

180 - 90 = 90

90 - 24 = 66

Answer will be 66

Hope this helps!

Answer:

3125

Step-by-step explanation:

cubed root of 125 = 5

5^5 = 3125

Hope this helps!!

La ultima alternativa es la correcta: 3 125

Answer:

Yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

2/5 kilogram od soil = 1/3 of the container

So 2/5 + 2/5+ 1/5 = 1 kilo gram of soil

so 1 kilo will fit into the container

Answer:

40x-5

Step-by-step explanation:

Answer:

120 square inches

Step-by-step explanation:

Answer:

Options A, Option C and Option D

Step-by-step explanation:

[tex](\frac{2}{5})^2=(\frac{2}{5})^{1+1}[/tex]

       = [tex](\frac{2}{5})(\frac{2}{5})[/tex]

       = [tex]\frac{2\times 2}{5\times 5}[/tex]

       = [tex]\frac{2^2}{5^2}[/tex]

       = [tex]\frac{4}{5^2}[/tex]

       = [tex]\frac{4}{25}[/tex]

Therefore, Options A, Option C and Option D are the correct options.

Step-by-step explanation:

29 + 33 = 62

6 + 7 > 12

number one is 33

number two is d = 7

Answer: c=33 and d=7

Step-by-step explanation:

Answer:

is there another number after the 7 if so if it is 5 or bigger it rounds up but 1-4 rounds down

Step-by-step explanation:

Answer:

0.23!! =D

hundredths (1/100)

Answer:

A, B, C

Step-by-step explanation:

15x+45

3 (5x + 15)

5(3x +9)

15(x + 3)

Answer:

-3

Step-by-step explanation:

W = -3

X = 3

Z = -9

Y = 6

-3 + 3 = 0

-9 + 6 = -3

-3 + 0 = -3

Answer:it is 73x+9 degree of the polynomial

Step-by-step explanation:U 6x2 + 7x3 + 8x5 + 9 What is the degree of the polynomial

Aw that's really nice of you thanks

thank you <3 appreciate it loads

Answer:

3/5 is the answer i think .

Answer:

15 x 8 x 11 x 17 = 22440

Answer:

answer is A hope this helps

Step-by-step explanation:

Answer:

8,6

Step-by-step explanation:

I moved up form A to the B and a to b was 8. And then from that it was 6. I realized I make no sense but yeah

Answer:

there are 4.3 weeks in a month

so then,

4.3 × 70 = 301

the awnser is:

301 dollors per month

Answer:

8 fifty cents coin.

Step-by-step explanation:

Let's assign variable for the unknown number of coins.

Let there are 'x' number of $1 coins

'y' number of 20 cent coins

'z' number of 50 cent coints.

Totally there are 26 coins.

So, x+y+z=26

Now, there are 6 more $1 coins than 20-cent coins.

We can set up equation for this as

x= y+6

Now, total value of these coins is $17.20

We can setup equation as

100 x+20 y+50 z=1720

Now, substitute x as y+6

100(y+6) +20 y+50 z =1720

Distribute the 100 to get rid ( )

100 y+600 +20 y+50 z=1720

Combine like terms

120 y+50 z= 1120

Keep this equation as it is.

Plug in x as y+6 into x+y+z=26

y+6+y+z=26

2y+z=20

Now, take the two equations

2y+z=20

120y+50z=1120

Multiply first equation by -60 to eliminate the y terms when we add them.

-120y-60z=-1200

120y+50z= 1120

-------------------------

     -10z =-80

Divide both sides by -10

z=8

Now, plug in z as 8 into 2y+z=20

2y+8 =20

Subtract both sides 8

2y=12

Divide both sides by 2

y=6

Now, plug in y, z values into the first equation.

x+6+8=26

x+14=26

Subtract both sides 14

x=12

So, there are eight 50-cent coins.

Answer:

3) [tex]1 \frac{2}{4}[/tex] in

4) 3 days

Answer:

3. 2in. the 3 one on the list.    4. it snowed 3 1/4 3x

Step-by-step explanation:

Answer:

600 1/4 ft²

Step-by-step explanation:

Window is a 7 * 7 square array

Length per tile = 3 1/2 ft long

Dimension of entire array :

3 1/2 * 7 by 3 1/2 * 7

7/2 * 7 by 7/2 * 7

49/2 by 49/2

Recall : Area of a square = a² ; where a = side length

Area of entire array :

49/2 * 49/2 = 2401 / 4 = 600 1/4 ft²

Answer:

x = 3 days y = $7

Step-by-step explanation:

Answer:

$22,263

Step-by-step explanation:

15% of $74,210 is $11,131.50 so $11,131.50 X 2= $22,263

so after 2 years the total amount of money along with interest will be a total of = $96,473

Answer:

The answer would be B

Step-by-step explanation:

From 1 second to 3 seconds Denise had stopped

We can tell that this is true because looking at the graph we can see that from 1 to 3 seconds the distance stayed the same which indicates that Denise was not walking

Answer:

I think it is B  between 1 and 3 bc a flat line shows no progress and the only area where is show a flat line is between 1 and 3 so he stopped walking at that point

Step-by-step explanation:

Answer:

4 more marbles

Step-by-step explanation:

Andrea in total, has 10 marbles since 5*2 is 10

Kori in total, has 6 marbles since 3*2 is 6

Subtract 10 by 6 is 4

10-6=4

4 marbles