Solve for x.
A. 7
B. 5
C. 0
D. 2

Less than 14 means

x < 14

Answer:

A. x < 14

Step-by-step explanation:

'<' = "less than"

'=' = "equal to"

'>' = "greater than"

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

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

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

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:

15.23

Step-by-step explanation:

the length of XY =√(5+9)²+(-4-2)²

=√14²+(-6)²

=√196+36

=√232

= 15.23

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

[tex]\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{196+36}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{232}[/tex]

[tex]\\ \rm\longmapsto XY=15.2[/tex]

Answer:

4 f(x)

Step-by-step explanation:

step by step explainantion is in picture below

Step-by-step explanation:

hope this may help you tq have a nice day

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:

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:

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: 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

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°

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

→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:

10

Step-by-step explanation:

2+3=5

5+4=9

the blank in the circle must be more than 10

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:

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:

-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

Answer:

A) 66

Step-by-step explanation:

I have no explanation to this but hope it's help

Answer:

a) 66 fluid ounces

Step-by-step explanation:

it's easy

all you have to do is multiply the amount of bottles Joy drinks in a day (in this case 4) with the amount of fluid ounces contained in each bottle she's drinking (in this case 16.5)

so in other words

4 x 16.5 = 66

Answer:

since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)

the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet

now subtract the 13 1/4 from 38

38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door

a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2

76-26 1/2 = 49 1/2 / 2 = 24 3/4

Step-by-step explanation:

https://brainly.com/question/4710320?referrer=searchResults

Answer:

any file to have a reference?

Answer:

There are only 1 ray because a ray only has 1 side that has a little tiny ball

Step-by-step explanation:

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:

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

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[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