what are the terms and coefficients of the expression?
[tex]12 + 8r - 3(s - 5) + 15t[/tex]
​

Answer:

p = -7

a = 10

Step-by-step explanation:

Question 1:

Step 1: Write out equation

-22 = 12p - 2(5p + 4)

Step 2: Distribute

-22 = 12p - 10p - 8

Step 3: Combine like terms (p)

-22 = 2p - 8

Step 4: Add 8 to both sides

-14 = 2p

Step 5: Divide both sides by 2

-7 = p

Step 6: Rewrite

p = -7

Question 2:

Step 1: Write out equation

11a - (4a - 7) = 77

Step 2: Distribute

11a - 4a + 7 = 77

Step 3: Combine like terms (a)

7a + 7 = 77

Step 4: Subtract 7 on both sides

7a = 70

Step 5: Divide both sides by 7

a = 10

Answer:

743000

1.2×10^9

hope it helps;)

Answer:

171

Step-by-step explanation:

Use PEMDAS (parenthesis, exponent, multiplication/division, addition/subtraction)

Add the two numbers in parenthesis first

175-[100/25]

Divide 100 by 25 in the brackets

175-4

Subtract

171

Answer:

A

Step-by-step explanation:

I used my brain so hope it helps

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(-6, 2)) = (x_1, y_1) [/tex]

[tex] B(2, 6) = (x_2, y_2) [/tex]

[tex] AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2} [/tex]

[tex] AB = \sqrt{(8)^2 + (4)^2} [/tex]

[tex] AB = \sqrt{64 + 16} = \sqrt{80} [/tex]

[tex] AB = 8.9 [/tex] (nearest tenth)

Distance between B(2, 6) and C(7, 1):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] B(2, 6) = (x_1, y_1) [/tex]

[tex] C(7, 1) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(7 - 2)^2 + (1 - 6)^2} [/tex]

[tex] BC = \sqrt{(5)^2 + (-5)^2} [/tex]

[tex] BC = \sqrt{25 + 25} = \sqrt{50} [/tex]

[tex] BC = 7.1 [/tex] (nearest tenth)

Distance between C(7, 1) and D(3, -5):

[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] C(7, 1) = (x_1, y_1) [/tex]

[tex] D(3, -5) = (x_2, y_2) [/tex]

[tex] CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2} [/tex]

[tex] CD = \sqrt{(-4)^2 + (-6)^2} [/tex]

[tex] CD = \sqrt{16 + 36} = \sqrt{52} [/tex]

[tex] CD = 7.2 [/tex] (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

[tex] DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] D(3, -5) = (x_1, y_1) [/tex]

[tex] A(-6, 2) = (x_2, y_2) [/tex]

[tex] DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2} [/tex]

[tex] DA = \sqrt{(-9)^2 + (7)^2} [/tex]

[tex] DA = \sqrt{81 + 49} = \sqrt{130} [/tex]

[tex] DA = 11.4 [/tex] (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

Answer:

idek

Step-by-step explanation:

Answer:

Because they are fractions every fractions is rational .

Step-by-step explanation:

Answer:

The sum is a fraction

Step-by-step explanation:

Answer:144

Step-by-step explanation:

36 x 4 = 144

48 × 3 = 144

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]5+\sqrt{81}\div9[/tex]

[tex]5+\frac{\sqrt{81}}{9}[/tex]

[tex]5+\frac{9}{9}[/tex]

[tex]5+1[/tex]

[tex]6[/tex]

Answer:

x > 2

Step-by-step explanation:

Given

5x + [tex]\frac{1}{3}[/tex](3x + 6) > 14 ← distribute and simplify left side

5x + x + 2 > 14

6x + 2 > 14 ( subtract 2 from both sides )

6x > 12 ( divide both sides by 6 )

x > 2

Answer: x > 2  

Step-by-step explanation:

5x + 1/3(3x +6) > 14     Distribute

5x + 1x + 2 > 14     Combine like terms on the left side

  6x + 2 > 14      Subtract 2 from both sides

         -2    -2

   6x > 12      Divde both sides by 6

 x > 2

Answer:

Length: 10 cm

Width: 5 cm

Step-by-step explanation:

The required length and width of the scale drawing are given a length will be 10 cm and the width will be 5 cm.

Given that,
A swimming pool of rectangle shape that measures 50 meters in length and 25 meters in width. To make a scale drawing of an Olympic-size swimming pool where 1 centimeter represents 5 meters.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
Given scale: 1 cm = 5 m
So, for 1 m = 1/5 cm
Now,
Length = 50 × 1/5  = 10 cm
Width = 25 × 1/5 = 5 cm

Thus, the required length and width of the scale drawing is given a length will be 10 cm and a width will be 5 cm.

Learn more about Scale factor here :

https://brainly.com/question/22312172

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Answer:

[tex]= \dfrac{1}{75}[/tex]

Step-by-step explanation:

Given that:

[tex]\lim_{x \to -5} \dfrac{(x+5)}{(x^3+125)}[/tex]

[tex](x^3 + 125) = (x+5)(x^2 -5x+25)[/tex]

Thus;

[tex]= \lim_{x \to -5} \dfrac{(x+5)}{(x+5)(x^2 -5x +25)}[/tex]

[tex]= \lim_{x \to -5} \dfrac{1}{(x^2 -5x +25)}[/tex]

[tex]= \dfrac{1}{((-5)^2 -5(-5) +25)}[/tex]

[tex]= \dfrac{1}{(25 +25 +25)}[/tex]

[tex]= \dfrac{1}{75}[/tex]

Answer:

5 people

Step-by-step explanation:

Regular- 2/3 times 24/1 gets you 16 people

Decaf- 1/8 times 24/1 gets you 3 people

16+3 is 19

24-19=5 people

The number of customers that ordered a specialty coffee is 5.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Total number of customers = 24

Customers having regular coffee = Two-thirds

⇒ Number of customers having regular coffee = 2/3 * 24 = 16

Customers that had decaf = one-eight

⇒ Number of customers having decaf = 1/8 * 24 = 3

Total number of customers having regular coffee and decaf = 16 + 3 = 19

Therefore, Customers that ordered a specialty coffee = Total number of customers - Total number of customers having regular coffee and decaf

⇒ Customers that ordered a specialty coffee = 24 - 19

⇒ Customers that ordered a specialty coffee = 5

Thus, the number of customers that ordered a specialty coffee is 5.

To learn more about fractions:

brainly.com/question/445498

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Answer:

[tex]47 \frac{11}{12} [/tex]

Step-by-step explanation:

[tex]10 + (\frac{5}{12} \times 91 )= 10 + (\frac{455}{12} = 37 \frac{11}{12} ) = 47 \frac{11}{12} [/tex]

Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3y−6)=−3(8−4y)

(4)(3y)+(4)(−6)=(−3)(8)+(−3)(−4y)(Distribute)

12y+−24=−24+12y

12y−24=12y−24

Step 2: Subtract 12y from both sides.

12y−24−12y=12y−24−12y

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

Answer:

All real numbers

Step-by-step explanation:

So we have the equation:

[tex]4(3y-6)=-3(8-4y)[/tex]

First, distribute the left side:

[tex]12y-24=-3(8-4y)[/tex]

Now, distribute the right:

[tex]12y-24=-24+12y[/tex]

Subtract 12y from both sides. Both sides cancel:

[tex]-24=-24[/tex]

This statement is true.

In other words, our solution is all real numbers.

And we're done!

The wooden board is 24 times the length of Crayon which is represented by Figure C.

We have,

A crayon is 4 inches long.

A wooden board is 8 feet long.

We know that

1 feet = 12 inch

So, 8 feet = 12 x 8 = 96 inches

Now, the factor between Caron and wooden block

= 96 / 4

= 24

Thus, the wooden board is 24 times the length of Crayon which is represented by Figure C.

Learn more about Scale Factor here:

https://brainly.com/question/29464385

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Answer:

follow me and mark me brainliest

Answer:

25. books: 1/7, games: 5/14

26. clothes: 3/14, games: 5/14, toys: 2/7

27. books: 1/7, toys: 2/7

Step-by-step explanation:

1) The bar graph shows 2 for books, and Tony got 14 gifts; therefore, 2/14 were books. However, 2/14 isn't the answer because they are asking for the simplest form which is 1/7. Keep repeating this process for the rest of the gifts and you will get your answer.

Hope this helps!

Answer:

y=12/7x +39/7

Step-by-step explanation:

7y-12x=39

7y=12x+39

y=12/7x+39/7

Answer:

7y -12x = 39

   +12x    +12x

 7y =  39 + 12x

 ----     ----------

  7         7

  y=  12/7x + 39/7

Answer: each pair of pants costed 15 $

Step-by-step explanation:

35+10 = 45/3 = 15

Answer: $15 each

Step-by-step explanation: add 35 + 10 = 45, then divide 45 ÷ 3 = 15

Answer:

I believe it would be 14

Step-by-step explanation:

Answer:

perpendicular bisector of a segment

Step-by-step explanation:

When using compass and drawing two arcs, the point the two arcs intersect at a point above and below the line, when connect the two point it forms a perpendicular bisector of a segment

Answer:

Stop and Save is a better value

Step-by-step explanation:

[tex]\frac{3}{1.05} = 2.86\\\frac{5}{2.30} = 2.17[/tex]

Answer:

3 apples at quick market.

Step-by-step explanation:

they only cost $0.44 dollars each

Answer:

1032

Step-by-step explanation:

(2^5-8^2)^2+2^3 subsitute

(32-64)^2+2^3

(-32)^2+2^3

1024+8

1032

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-15 - 8= -7

Answer:

assuming that point u is inbetween points T and V then the length of TV would be 13

Step-by-step explanation:

T-----------U--V

Answer:

terms: 3x,+90y,-70

coefficient:3,-90,-70