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Answer:

Acre of land = 43,560 sq feet

(1/8) 43,560 = 5,445 square feet

This has to be divided by 6, each child gets

5,445 /6 of an acre = 907.5 square feet

So each child received one sixth of one eighth of an acre which equals

1/48 of an acre.

PROOF:

43,560 / 48 = 907.5

Step-by-step explanation:

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 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:

[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:

use the area formula

Step-by-step explanation:

A=wl

multiply 3.5 times 2.25

Answer:

69.12

Step-by-step explanation:

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.

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:

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

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.

Answer:

275 non spectators

Step-by-step explanation:

1. Subtract

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

275

2. Get answer

275 non-spectators

Answer:

the answer is $47

Step-by-step explanation:

you'll multiply the prices of their corresponding prices

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.

Hey there ..!!

There is no figure here ..

Please attach the figure too ..

The length of the shortest side of the triangle is 14 units so option (B).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given the triangle with sides 2x, x + 15, and 4x - 7.

Perimeter = Sum of all sides

2x + x + 15 + 4x - 7 = 57

7x + 8 = 57

7x = 49

x = 7

Now,

Side 2x ⇒ 2×7 = 14

x + 15 ⇒ 7 + 15 = 22

And,

4x - 7 ⇒ 4×7 - 7 = 21

Hence "The length of the shortest side of the triangle is 14 units".

For more about triangles,

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Given question is missing an image attached below,

Answer:

the second one

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

correct me if I'm wrong

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

Answer:

Step-by-step explanation:

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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- 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:

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:

$22,000

Step-by-step explanation:

2000 x 11

=22000

Answer:

500000000020000900000333000999990202i283u8

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

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:

Step-by-step explanation:

Part A

Solve 4,500 ÷ 90. Enter your answer in the box.

Answer : 50

Part B

Select all the expressions that are equal to 4,500 ÷ 90.

A. 4,500 ÷ 9 tens  ✔️

B. 450 ÷ 90  ❌

C. 450 ÷ 9  ❌

D. 4,500 ÷ 9  ❌

E. 4,500 ÷ 90 tens ❌

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: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:

3 hours 38 minutes

Step-by-step explanation:

Rogers flight Took off at 9:27 AM the fire is scheduled to land at 1:05 PM if the flight lands on schedule, how long is the flight?

To solve for this, we carry out simple Subtraction

1:05PM - 9:27AM

We can convert the landing time using a 24 hour clock

Hence:

1:05PM = 13:05PM

13:05 - 9:37

= 3:38

Therefore, the length of the flight is 3 hours 38 minutes

Answer:

3h 38min.

Step-by-step explanation: