Can somebody help me?

Answer:

Step-by-step explanation:

C and E are corre6

The expressions that are equivalent to 16^(5/2) is 16^(5/2) is 4^(5), √16^(5), 16^(2 + 1/2), 16^(2) 6^(1/2).

An exponent is a number or letter written above and to the right of a mathematical expression called the base. The exponent of a number says how many times to use that number in a multiplication.

Now the given expression is,

16^(5/2)

Since 4^2 = 16

Therefore we can write,

16^(5/2) = (4^2)^(5/2)

Using the exponent property,

a^b^(c) = a^(bc)

⇒ (4^2)^(5/2) = 4^{2*(5/2)}

⇒ (4^2)^(5/2) = 4^(5)

Thus,

16^(5/2) = 4^(5)

Now, Using the exponent property,

{a^(b)}^(c) = a^(bc)

Also, 16^(5/2) = 16^{5(1/2)}

⇒ 16^(5/2) = {16^(1/2)}^5

∵ 16^(1/2) = √16

⇒ 16^(5/2) = √16^(5)

Now, Using the exponent property,

a^(b)^(c) = a^{(b)(c)}

Also, 16^(5/2) = 16^(2 + 1/2)

Using the exponent property,

a^(b).a^(c) = a^{(b + c)}

16^(2 + 1/2) = 16^(2) 6^(1/2)

⇒ 16^(5/2) = 16^(2) 6^(1/2)

The expressions that are equivalent to 16^(5/2) is 4^(5), √16^(5), 16^(2 + 1/2), 16^(2) 6^(1/2).

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Answer:

Step-by-step explanation:

[tex]\left \{ {{a+c=123} \atop {7a+5c=829}} \right.[/tex]

7a + 7c = 861 ...... (1)

7a + 5c = 829 ..... (2)

(1) - (2)

2c = 32

c = 16

a = 123 - 16 = 107

Answer:

16 Children, 107 Adults

Step-by-step explanation:

a + c = 123

7a + 5c = 829

a + c = 123

a = 123 - c

7a + 5c = 829

7(123 - c) + 5c = 829

861 - 7c + 5c = 829

861 - 2c = 829

-2c = 829 - 861

-2c = -32

-2c/-2 = -32/-2

c = 16

a + c = 123

a + 16 = 123

a = 123 - 16

a = 107

Answer:

18

Step-by-step explanation:

total candy: t

t = 10+4(2) as there were 4 kids who got 2 pieces each

t = 18

Answer:

18 pieces

Step-by-step explanation:

10 for herself

2 × 4 = 8

10+8 = 18

Answer:

1560.38

Step-by-step explanation:

As far as I know, a sales tax is never calculated until money changes hands. So the rebate is the first amount to take place.

1560 - 100 = 1460

Now if the purchaser agrees to this amount and does anything to pay partially or in full, the tax is added.

Total Cost = 1460 * (1.06875)

Total Cost = 1560.38

Edit

You have to be very careful when you use a term like rebate. Rebate is a very special kind of discount. Your purchase has to qualify for a rebate. Apparently this one does. If you are willing to spend 1560 on something, the merchant selling the product offers you a rebate to help you decide.

If the TV cost is 1200 you may not get the rebate.

Answer:

4.5 m/s

Step-by-step explanation:

acceleration is the change in velocity divided by time. so, 25 m/s going to 0 m/s (stop), which is 25, divided by 5.5 seconds is 4.5 m/s

Answer:

a 2:10    1:5

8 4:6    2:3

b3:18    1:6

h 9:15    3:5

C5:25    1:5

i 10:35    2:7

d 30:5    6:1

1 75:10    15:2

e 36:12    3:1

k 72:20    18:5

f 180:20    9:1

1 140:112   5:4

Step-by-step explanation:

Divide each side of the colon by the same number until you cannot divide any more.

Answer:

275 non spectators

Step-by-step explanation:

1. Subtract

42,500 - 31,750 - 10,475 =

275

2. Get answer

275 non-spectators

Step-by-step explanation:

2+6x= -10 + 11(x + 4)

2+ 6x = -10 + 11x + 11(4)

2 + 6x = -10 + 11x + 44

2+ 6x = 11x + 34

6x - 11x = 34 - 2

-5x = 32

x= - 32/5

Answer:

Step-by-step explanation:

1) multiplication- 2+6x=-10+11x+44

2)addition or subtraction- 2+6x=11x+34

3)isolate the variable- -5x=32

4)divide 32 by 5= x=6.4 or 32/5

Answer:

a +b = 2

Step-by-step explanation:

a +3 = 6

    a = 6 -3

   a = 3

Plugin  a =3 in the equation,

a*b +5*a +3*b + 15 = 24

3b + 5*3 + 3b + 15 = 24

3b + 15  + 3b + 15 = 24      {combine like  terms}

3b + 3b + 15 + 15 = 24

             6b  + 30  = 24           {Subtract 30 from both sides}

                       6b = 24 -30

                      6b = -6               {divide both sides by 6}

                         b = -6/6

b = -1

a + b = 3 + ( -1)

         = 2

Answer:

these lessons, we will how to solve

• word problems that involve a single Simple Interest

• word problems that involve more that one Simple Interest.

• word problems that involve Simple Interest with discounted loan.

Answer:it’s 4,000

Step-by-step explanation:

The area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters.

Scale factor tells us by how much one quantity is greater than the other. It is denoted by [K]. Mathematically -

K = a/b.

Rewriting, we get -

a = Kb

If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]

Given is a rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle.

Now, after dilation the new dimensions will be -

Length = 3.5 x 80 = 280 cm

Width = 3.5 x 50 = 175 cm

The area in square centimeters of the dilated rectangle will be -

A[d] = 280 x 175 = 49000 square centimeters

Therefore, the area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters

To solve more questions on dilation, visit the link below-

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Answer:

[tex]a = 64 \pi x^{12}y^{8}[/tex]

Step-by-step explanation:

[tex]r = 8x^{6}y^{4}\\a = \pi r^{2} = \pi (8x^{6}y^{4})^{2} = 64 \pi x^{12}y^{8}[/tex]

Answer:

$22,000

Step-by-step explanation:

2000 x 11

=22000

Answer:

500000000020000900000333000999990202i283u8

Answer:

4 feet and 2 inches

Step-by-step explanation:

5 feet and 6 inces= 66 inches

66-16=50

50= 4 feet and 2 inches

Answer:

t = 2.25

Step-by-step explanation:

To find t, divide each side by 4.

9 = 4t

Divide 9 by 4:

2.25 = t

So, t = 2.25

Step-by-step explanation:

Let x be the entry fee.

Let y be the cost of each ticket in dollars.

Since Keith paid the entry fee and 10 tickets,

we have x + 10y = $30.

Explanation Step-by-Step:

Let x reflects the fees for entry

Y is the cost of each fare,

Equation Gwen

Around x + 10y = 30... I) I

Equation of Tristan

Hey, x + 15y = 40...... (ii) The

Equation with Keith

Around x + 10y = 30.......... Iii. (iii)

By solving Eq. (ii) and (iii), we are getting

x= 10

Y = 2

Therefore, entrance fees = $10

Price of a fare = $2 = $2

Please mark me as the most brainless as it will assist me in reaching the next step.

9514 1404 393

Answer:

  a) 7(3x +7)

  b) y(3y -1)

  c) 4x^2(2 +x)

  d) 2s^2t^2(12s +5t^2)

Step-by-step explanation:

These are factored by finding the greatest common factor of the given terms. Generally, that can be found by looking at the factors and finding the largest that is common to all terms.

__

a) 21 = 7·3; 49 = 7·7. The GCF is 7. Factoring that out gives ...

  7(3x +7)

__

b) y is the only factor common to both terms.

  y(3y -1)

__

c) 4 and x^2 are factors common to both terms, assuming the second term is 4x^3.

  4x^2(2 +x)

__

d) 10 = 2·5; 24 = 2·12; the factors s^3 and s^2 share a factor of s^2; the terms t^2 and t^4 share a factor of t^2.

  2s^2t^2(12s +5t^2)

Answer:

8/3

Step-by-step explanation:

Step-by-step explanation: Notice that one

of the angles is greater than 90° or obtuse.

Therefore, we call this an obtuse triangle.

Answer:

obtuse angle

Step-by-step explanation:

has an angle that isgreater than 90°

Answer:

In the situation where segment [tex]\overline {AM}[/tex] is perpendicular to segment [tex]\overline {CI}[/tex], such that [tex]\overline {AM}[/tex] is the perpendicular bisector to segment [tex]\overline {CI}[/tex] we have the following two column proof;

Statement          [tex]{}[/tex]                   Reason

M is the midpoint of [tex]\overline {CI}[/tex]     [tex]{}[/tex]    Given

[tex]\overline {CM}[/tex] ≅ [tex]\overline {IM}[/tex]        [tex]{}[/tex]                      Definition of midpoint

[tex]\overline {AM}[/tex] ≅ [tex]\overline {AM}[/tex]       [tex]{}[/tex]                      Reflexive property

∠CMA = ∠IMA = 90°        [tex]{}[/tex]      Definition of perpendicular bisector

ΔCAM ≅ ΔIAM        [tex]{}[/tex]              By the Side-Angle-Side (SAS) rule of congruency

However, where the segment [tex]\overline {AM}[/tex] is not be assumed as perpendicular to segment [tex]\overline {CI}[/tex], then CNBD

Step-by-step explanation:

Answer:

It's CNBD. Leave the first blank...well blank

- since the triangles are congruent, their side lengths and angles should be congruent.

- set them equal to each other.

3x - 5 = x + 6

2x - 5 = 6

2x = 11

x = 5.5

- now plug in.

AC = 3(5.5) - 5

AC = 11.5

so, option C.

Answer:

69.12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the answer is $47

Step-by-step explanation:

you'll multiply the prices of their corresponding prices

Answer:

1/12

Step-by-step explanation:

The total quantity of sugar used = 1/3 x 3/4 = 3/12 = 1/4

what he has remaining = 1/3 - 1/4

multiplu both fractions by 12

1/3(12) - 1/4(12) = 1/12

Answer:

24

Step-by-step explanation:

Use PEMDAS:

Parenthesis:

(27-19)=(8)

Then multiplication:

6+(2*3)+4+(8)

6+(6)+4+(8)

Then add everything:

24

Answer and explanation:

Probability= number of favorable outcomes/total number of outcomes

A regular six-sided die which is numbered from 1 to 6 has 3 even numbers(2,4,6) and 3 odd numbers(1,3,5)

A. Given that Jack will only ride in the front seat if the number is even, probability that Jack would ride in the front seat = 3/6=1/2

Therefore Jack will ride in the front seat half the time. In 20 days, Jack would ride in the front seat for 10 days.

B Given that Jill will ride in the front seat if the number is odd, probability that he would ride in the front seat = 3/6=1/2

Or we could simply say probability that Jill will ride in the front seat given that probability that Jack will ride in the front is 1/2 =1-1/2=1/2

C. Both predictions are likely to be closer to the actual frequency based on probability calculated.

Answer:

the second one

Step-by-step explanation:

compare with y=mx+c

then

y=4-2x

y=-2x+4

c=4,m=-2

Answer:

slope = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4 - 2x , that is

y = - 2x + 4 ← is in slope- intercept form

with slope m = - 2