When solving the equation 3(x-7)=2-x, the property used in the first step is the...

Answer:

8.5 cm

Step-by-step explanation:

We know that the square has side lengths of 6cm. To calculate the distance from one corner of the square to the opposite corner, we are calculating the diagonal of the square.

Along the diagonal is where the square gets split in half into two right triangles. The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle and a and b are the other two sides.

To find the length of the square's diagonal, we essentially need to calculate c, the longest side of the triangles. We can do this by plugging 6 into the equation as a and b.

[tex]a^2+b^2=c^2\\6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c[/tex]

[tex]8.5[/tex] ≈ [tex]c[/tex]

Therefore, it will be approximately 8.5cm from one corner of the square to the opposite corner.

I hope this helps!

Answer:

92.32%

Step-by-step explanation:

482-37=455 (not vaationig)

445/482=0.9232

0.9232*100=92.32%

Answer:

(0,6) ==> y-axis

(5,-2) ==> Quadrant IV

(-1,10) ==> Quadrant II

(5,0) ==> x-axis

(8.7,2.3) ==> Quadrant I

[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]

Answer:

option A

Step-by-step explanation:

f(x)+g(x) will lead to addition of the fractions

LCM of 2x and x² is 2x²

{(2x²×½x)+(2x²×4/x²)}/2x²

x+8/2x²

Answer:

[tex]Slope = 1[/tex]

It represents: The number of tents made in an hour

Step-by-step explanation:

Given

X=0,1,2,3,4,5,6,7,8

Y=6,7,8,9,10,11,12,13,14

Required

Determine the slope

The slope is calculated as:

[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Pick any two corresponding values of x and y

[tex](x_1,y_1) = (0,6)[/tex]

[tex](x_1,y_1) = (8,14)[/tex]

[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Slope = \frac{14 - 6}{8 - 0}[/tex]

[tex]Slope = \frac{8}{8}[/tex]

[tex]Slope = 1[/tex]

It represents: The number of tents made in an hour

Answer:

90

Step-by-step explanation:

$5.29  * 16.3 = $86.227

=$86.23

86.23 could be rounded up to 90

Answer:

5.1

Step-by-step explanation:

Answer:

170.6 inches

The scale factor is an enlargement

Step-by-step explanation:

16 by 24 is the Painting by a scale factor of 2.25

A scale factor is an enlargment or reduction in a shape or quantity.

So

(16*24) is the size of the painting after Scale factor

16*24=384

Know get 384/2.25

170.666666667

170.6 inches

Answer:

These triangles cannot be proven congruent

Step-by-step explanation:

The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.

These mean that the two triangles have the same shape and we can conclude that they are similar to each other.

However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.

Therefore, the triangles given above cannot be proven congruent.

Answer:

Y:4     X:540

Step-by-step explanation:

Answer: first divide so you make it one and then you multiply hope that helps

Step-by-step explanation: then you can add them to get by one then multiply

Answer:

y =1, 1.5, 2, 2.5, 3

Step-by-step explanation:

Plug in the values of x into the equation for y.

For example when x is 0, plug in 0 into the equation

0.5x + 1 = y

0.5(0) + 1 = 1

So, y = 1

To find the other values of y, plug in the designated value of x into the equation.

Answer:

first, second and fourth

Step-by-step explanation:

If you use distribution,

6a(5+d) is the same as  

6a(5) + 6a(d)

Multiplied =  30a + 6ad

So it's the 1st 2nd and fourth choice.

1st is stated above when multiplied out and combined.

2nd is after distribution.

4th choice is basically combination of 1 and 2 where one is combined (first term) and the second one just set up to be multiplied.

It cannot be third because you are multiplying the factors and not adding so you cannot have 11a.

It cannot be last choice because you have different types of terms that cannot be combined (one with a alone and one with ad)

Answer:

(6a*5) + (6a*d)

30a + 6ad

30a + (6a*d)

Step-by-step explanation:

Hope you ace your test!

Answer:

327.08 m/s

Step-by-step explanation:

Given that:

Length of pipe = 2.96m

4th harmonic frequency = 221 Hz

Speed of wave in the horn :

Speed of wave (v) = fλ

For 4th harmonic :

Wavelength, λ = (2/4)L

λ = L/2 ; 2λ = L

2λ = 2.96

λ = 2.96 / 2

λ = 1.48 m

Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s

Answer:

the answer is c

Step-by-step explanation:

Answer:

B. $3.56

Step-by-step explanation:

You take $28.48 and divide it by 8

28.48 / 8 = 3.56

/ = divide

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

Answer: the 2 on the right

Step-by-step explanation:

Answer:

X= 3.5

Step-by-step explanation:

4(6x-9.5)=46

24x-38=46

X=3.5

Answer:

[tex]600\ rupees[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Dimensions\ of\ the\ door=2m *1m\\Dimensions\ of\ the\ wall=8.5m*2m\\Cost\ of\ whitewashing\ of\ 1m^2=40\ rupees\\Hence,\\First\ lets\ consider\ the\ wall:\\Area\ of\ a\ rectangle= Length*Width\\Here,\\Length\ of\ the\ wall=8.5\ m\\Width\ of\ the\ wall=2\ m[As\ here\ width\ and\ height\ are\ the\ same\ thing]\\Hence,\\Area\ of\ the\ wall=8.5*2=17\ m^2[/tex]

[tex]Now,\\Lets\ consider\ the\ door:\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Length\ of\ the\ door=2m\\Width\ of\ the\ door=1\ m\\Hence,\\Area\ of\ the\ door=2*1=2m^2\\\\Now,\\The\ area\ to\ be\ whitewashed=Area\ of\ the\ wall-Area\of\ the\ door\\Hence,\\The\ area\ to\ be\ whitewashed=17-2=15\ m^2\\\\As\ we\ know\ that,\\Cost\ of\ whitewashing\ 1\ m^2\ of\ the\ wall= 40\ rupees\\Hence,\\[/tex]

[tex]Cost\ of\ whitewashing\ the\ whole\ wall=Area\ of\ the\ wall\ to\ be\\ whitewashed*Rate\ of\ whitewashing\ per\ m^2\\Hence,\\Cost\ of\ whitewashing\ the\ whole\ wall=15*40=600\ rupees[/tex]

Given:

Length of a cube is 2 cm

To Find:

Surface area of the cube

Solution:

A cube consists of 6 faces.

The area of each face = side x side

So, the total surface area of a cube = 6 x

side x side

Let a be the length of the given cube

: Surface area of a cube = 6a square

a = 2 cm (Given)

Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.

Hence, the surface area of the given

cube is 24cm square.

Hope it helps!

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  a)  x = 7

  b)  m∠1 = 45°

  c)  m∠2 = 135°

Step-by-step explanation:

a) Same-side interior angles are supplementary, so we have ...

  ∠1 +∠2 = 180

  (7x -4) +(20x -5) = 180

  27x = 189

  x = 7

__

b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.

  m∠1 = 7x -4 = 7(7) -4 = 45

  m∠1 = 45°

__

c) Angle 2 is the supplement of angle 1, so ...

  m∠2 = 180° -45°

  m∠2 = 135°

__

d) We used the relationship of angles at a transversal and the properties of equality.

Answer:

-4

Step-by-step explanation:

Answer:

24 is the answer ok 21/7

is 3 and multiply it with 8 that is 24

2]

q = -3

Answer:

b.c

Step-by-step explanation:

Answer:

it's the fourth one i did that assignment aswell