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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:

y = 1/5 x + 2

Step-by-step explanation:

y = mx + b

m = slope = 1/5

b = y-intercept = 2

y = 1/5 x + 2

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

- 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.

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:

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:

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:

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:

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:

use the area formula

Step-by-step explanation:

A=wl

multiply 3.5 times 2.25

Answer:

275 non spectators

Step-by-step explanation:

1. Subtract

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

275

2. Get answer

275 non-spectators

Answer:

Warm Up: Line y = 3x – 1 is transformed by a dilation with a scale factor of 2 ... Exercise 1- The line y = 3x is dilated by a scale factor of 2 and centered at the origin. ... 5. The line y=--x-2 is graphed to the right. Write the equation of the m=273.

Step-by-step explanation:

Answer:

x^4 x y^2

Step-by-step explanation:

hope this helps

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:

There is no table

Step-by-step explanation:

Answer: d) the payment amount each month stays the same.

Step-by-step explanation:

Answer:

Pretty sure it's B.

Step-by-step explanation:

The solution of given equation 10 ax + 11 ax = 12ax +45 is x = 5/a.

The correct answer is an option (B)

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

We have been given an equation 10 ax + 11 ax = 12ax + 45

We need to solve given equation for x.

Assuming a ≠ 0,

⇒ 10 ax + 11 ax = 12ax +45

⇒ (10 + 11) ax = 12 ax + 45             ...............(Separate out common terms)

⇒ 21 ax = 12 ax + 45

⇒ 21 ax - 12 ax = 12ax + 45 -12 ax   ...........(Subtract 12 ax from each side)

⇒ (21 - 12) ax = 45                          ...............(Separate out common terms)

⇒ 9 ax = 45

⇒ 9ax/9a = 45/9a                             ..............(Divide both the sides by 9a)

⇒ x = 5/a

Therefore, the solution of given equation 10 ax + 11 ax = 12ax +45 is x = 5/a.

The correct answer is an option (B)

Learn more about an equation here:

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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:

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:

2nd choice

Step-by-step explanation:

log x/log 0.5 = log₁₉ x / log₁₀ 0.5 = log ₀.₅ x

log (2+x) / log 3 = log₃ (2+x)

Answer:

the answer is actually D, or the last option.  I took the quize on ED2021. and that is what it says is the right answer.

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:

no solution

Step-by-step explanation:

Given

8(3x - 6) = 6(4x + 8) ← distribute both sides

24x - 48 = 24x + 48 ( add 48 to both sides )

24x = 24x + 96 ( subtract 24x from both sides )

0 = 96 ← not possible

This indicates the equation has no solution

Answer:

$22,000

Step-by-step explanation:

2000 x 11

=22000

Answer:

500000000020000900000333000999990202i283u8

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:

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:

Answer:

The equation is an identity: it is true for all values

Answer:

the second one

Step-by-step explanation:

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:

A

Step-by-step explanation:

correct me if I'm wrong

Answer:

the answer is $47

Step-by-step explanation:

you'll multiply the prices of their corresponding prices