Which option is the correct interpretation of this numerical expression?
55 ÷ 5 − 4

the quotient of 55 divided by 5, decreased by 4

four subtracted from the product of 55 and 5

five less than the quotient of 55 divided by 4

fifty-five divided by the difference of 5 and 4

Answer:

boys:girls:teachers

5      :    4        :1

Step-by-step explanation:

75 boys, 60 girls and 15 teachers

boys:girls:teachers

75     : 60  :15

Divide each  term by 15

75 /15 : 60/15  :15/15

5      :    4        :1

Answer:

x < -3.

x is less than negative 3

Step-by-step explanation:

-18 < 5x - 3

-18 + 3 < 5x (- 3 + 3)

-15 < 5x

-15/5 < 5x/5

-3 > x

x < -3

Answer:

2.02 yards per second

Step-by-step explanation:

Distance/time= Average speed or speed

50yard/ 24.76sec=  2.01938 yards per second ~ 2.02 yards per second

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]cos^{4}[/tex]A + [tex]sin^{4}[/tex]A - 2cos²Asin²A ← is the expansion of

= (cos²A - sin²A)²

Substitute sin²A = 1 - cos²A

= (cos²A - (1 - cos²A) )²

= (cos²A - 1 + cos²A)²

= (2cos²A - 1 )²

= right side , then proven

→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...

→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...

→100 lb tank: 4 feet tall and 18” diameter. ...

→420 lb tank: 4 feet tall by 3 feet diameter. ...

→500 gallon tank: 5 feet tall by 10 feet long.

Hope this helps ^_^  

Answer:

4 f(x)

Step-by-step explanation:

step by step explainantion is in picture below

Answer:

second option

Step-by-step explanation:

Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse, the line opposite of the 90 degree angle.

a and b are the other 2 sides.

the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.

so, we have (-2, -3) and (3, 2)

distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =

= (-5)² + (-5)² = 25 + 25 = 2×25 = 50

distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)

Answer:

3[tex]n^{4}[/tex] - 3n²

Step-by-step explanation:

(5[tex]n^{4}[/tex] - 2n²) - (4n² + 4[tex]n^{4}[/tex]) + (3n² + 2[tex]n^{4}[/tex])

Remove parenthesis, distributing the second one by - 1

= 5[tex]n^{4}[/tex] - 2n² - 4n² - 4[tex]n^{4}[/tex] + 3n² + 2[tex]n^{4}[/tex] ← collect like terms

= (5 - 4 + 2)[tex]n^{4}[/tex] + (- 2 - 4 + 3)n²

= 3[tex]n^{4}[/tex] + (- 3)n²

= 3[tex]n^{4}[/tex] - 3n²

Answer:

Q.1. x=8-5

x=3

Q.2. -3x=16-7

-3x=9

x=-9/3

x=-6

Q.3. 3p=6*7

3p=42

p=42/3

p=16

Q.4. 2(x+5)=24

2x+10=24

2x=24-10

2x=14

x=14/2

x=7

Step-by-step explanation:

For Q1.

1. x + 5 = 8

x = 8 - 5

x = 3

2. -3x + 7 = 16

-3x = 16 - 7

-3x = 9

x = 9/-3

x = -3

3. 3P/7 = 6

3P = 6*7

3P = 42

P = 42/3

P = 14

4. 2(x + 5) = 24

2x + 10 = 24

2x = 24 - 10

x = 14/2

x = 7

5. x/5 - 8 = 9

x/5 = 9 - 8

x = 5

For Q.2:

1. 12 + 4(x + 3(x + 4)) = 108

12 + 4(x + 3x + 12) = 108

12 + 4x + 12x + 48 = 108

60 + 16x = 108

6x = 108 - 60

x = 48/6

x = 8

2. 5x + 7(4 - (x + 3)) = 31

5x + 28 - x + 3 = 31

6x + 31 = 31

6x = 0

x = 0

3. 2(3y - 2(y + 5) + 3) = -4

2(3y - 2y + 10 + 3) = -4

2(y + 13) = -4

2y + 26 = -4

2y = 30

y = 15

4. 20 - 2(2x -(2 - x) + 10) = -44

20 - 2(2x - 2 + x + 10) = -44

20 - 2(3x + 8) = -44

20 - 6x - 16 = -44

4 - 6x = -44

-6x = -44 - 4

-6x = -48

x = -48/-6

x = 8

5. 5(3x - 4(x + 2) + 5(2x + 1)) = 60

5(3x - 4x - 8 + 10x + 5) = 60

5(3x - 4x + 10x - 8 + 5) = 60

5(9x - 3) = 60

45x -15 = 60

45x = 60 + 15

x = 75/45

x = 1.67

For Q.3:

1. x/2 + x/3 = 10

(3x + 2x)/6 = 10

5x/6 = 10

5x = 60

x = 12

2. 1/3(2x/7 - 1) = 3

1/3(2x - 7/7) = 3

2x - 7/7 = 3/(1/3)

2x - 7/7 = 1

2x - 7 = 7

2x = 14

x = 7

3. (P + 2/2) + ( 2P - 6/4) = 5

(2P + 4 + 2P - 6)/4 = 5

(4P - 2)/4 = 5

4P - 2 = 20

4P = 22

P = 5.5

4. x/3 - (2x + 1)/3 - (x - 3)/5

(x - 2x + 1)/3 - (x - 3)/5

(1 - x)/3 - (x - 3)/5

(5 - 5x - 3x - 9)/15

(-8x - 4)/15

5. (y - 2)/3 + (2y + 5)/5 - (y + 7)/3

5/3 + (2y + 5)/5

(25 + 6y + 15)/15

(40 + 6y)/15

Answer:

3x-5=2x+3-(x-4)

first deal with the bracket first. multiply -1 by x and -4.

3x-5=2x+3-x+4

group like terms that is sort them according to the letters.

3x+x-2x=3+4+5

4x-2x=12

2x=12.divide both sides by 2.

2x=12

2 2

x=6

Answer:

27 and 3

Step by Step explanation:

Just list the factors of 81 and find the two numbers

Answer: B

Step-by-step explanation:

y-intercept of m is -6

y-intercept of n is 2

Since -6 < 2:

A: false

B: true

C: false

D: false

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-4x - 5x}[/tex]

[tex]\huge\text{= -4x + (-5x)}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (-4x - 5x)}[/tex]

[tex]\huge\text{= -9x}[/tex]

[tex]\huge\boxed{\mathsf{Answer: -9x}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

-9x

Step-by-step explanation:

-4x-5x

Combine like terms

-4x-5x

-9x

Answer:

8x - 4x + 12 - 6x - 15 - 6

Combine like terms

-2x - 9

If your equation is equal to zero then continue down.

-2x - 9 = 0

-2x = 9

x = -9/2

  = -4  1/2

Explanation:

The expression r/6 is the quotient of r and 6. The quotient is the result of a division problem. For example, the quotient of 100 and 25 is 4 because 100/25 = 4.

We'll then raise r/6 to the 3rd power to get the final answer (r/6)^3

We could rewrite it in its equivalent form (r/6)^3 = (r^3)/(6^3) = (r^3)/216, but the answer in bold is sufficient in my opinion.

Answer:

Shape A is congruent to shape D and has been translated 2 units to the right

Shape B is congruent to shape E and translated 1 unit to the left.

Step-by-step explanation:

Shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The shapes are given in the picture.

From the definition of congruency; congruent figures are those that are exactly the same size and shape. Congruent is represented by the symbol ≅.

Form A has been translated into two units to the right and is congruent with shape D.

Form B is translated one unit to the left and congruent to shape E.

Thus, shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Answer:

I don't see anything but Perimeter is Length + Width × 2

Less than 14 means

x < 14

Answer:

A. x < 14

Step-by-step explanation:

'<' = "less than"

'=' = "equal to"

'>' = "greater than"

Answer:

Step-by-step explanation:

The ratio of boys to girls in the band is 5:6 and there are a total of 121 people.

We can call each bit of the ratio 'parts'.

So, there are a total of 5+6=11 parts in total, and there are a total of 121 people.

Therefore, each part of the ratio is equal to 121 ÷ 11 = 11.

Since there are 5 parts assigned to the number of boys in the band, then the total number of boys in the band is equal to 11 × 5, which is equal to 55 boys.

Step-by-step explanation:

24

^

2 12

^

2 6

^

3 3

^

3 1

Therefore its 2,2,3,3

Answer:16.3 ft

Step-by-step explanation:

The estimated value of the side length of the square rug is : 8.062 feets

Given that the area of the square rug = 65 ft²

Recall :

Area of a square = s²

Where, s = side length

Therefore,

Area of rug = s²

65 ft² = s²

65 = s²

Square both sides

√65 = s

8.062 = s

The estimated side length of the rug is 8.062 feets.

Learn more : https://brainly.com/question/1658516?referrer=searchResults

Answer:

any file to have a reference?

Answer:

|x + 2|

Step-by-step explanation:

Translating to the left and right has the number on the inside with the variable. Adding goes left and subtracting goes right.

(if you want an explanation on why it's opposite like that then just comment)

Answer:

3.(-2/0) this is your answer

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°

Answer:

9.  38

10.  19

11.  91

12.  89

13.  110

14. 109

Step-by-step explanation:

A line (PT) is always a total of 180 degrees and QVR = RVS (given) so let x = QVR then

PVQ + QVR + RVS + SVT = 180

72 + x + x + 70 = 180

72 + 2x + 70 = 180

2x = 180 - 72 - 70

2x = 180 - 142

2x = 38

x = 19

so

9. QVS = QVR + RVS = 2x = 19 + 19 = 38

10. QVR = x = 19

11. PVR = PVQ + QVR = 72 + 19 = 91

12. TVR = TVS + SVR = 70 + 19 = 89

13. PVS = PVQ + QVR + RVS = 72 + 19 + 19 = 110

14. TVQ = TVS + SVR + RVQ = 70 + 19 + 19 = 109

Hey there! I'm happy to help!

30% is the same thing as 0.3 because 0.3 is 30% of 1. If you multiply something by 1, it will just stay the same, so you need that percent of 1.

To convert a decimal to a percent, you move the decimal to the left two spaces.

Now, we simply multiply this by 930.

0.3×930=279

So, Kendra will receive a bonus of $279.

Have a wonderful day and keep on learning! :D

Answer:

-1 9/10

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

-3/10q - 16/10q + 9 = 10

-19/10q + 9 = 10

-19/10q = 1

-19 = 10q

-19/10 = 10q/10

-1  9/10 = q