Solve
3-**
The solution is k=

Answer:

w = 4ft

Step-by-step explanation:

b × w = a

(w + 2)(w) = 24

Simplify.

w² + 2w = 24

Solve

w = 4

Double check.

4 × 6 = 24

good luck, i hope this helps :)

9 this is because in this equation we need to work out how many ninths there are in one whole. Our model shows one whole square. To divide it into nine equal parts. Each of these equal parts is a ninth. We have three ninths on the top row. Another three ninths on the second rows makes six ninths altogether. And three more ninths on the but to row makes a total of nine ninths equal one whole. We drew a square and we divided it into nine equal parts. Nine ninths equals one whole.

Answer:

-6/3 is a rational

Step-by-step explanation:

its a rational because it expresses as the ratio of two integers.

Answer:

75 students

Step-by-step explanation:

100- 36=64

64%=48

36=????

36/64 × 48

= 27 girls

total 27+48=75 students

Answer:

48 / 64% = 75 students total

Step-by-step explanation:

Answer:

8 is 73 corresponding and 9 is 107 supplementary

Step-by-step explanation:

Answer:

The value of x is 3.

Step-by-step explanation:

The steps are :

4.5 = 1.5x

4.5 ÷ 1.5 = 1.5x ÷ 1.5

3 = x

Answer:a

Step-by-step explanation:

The answer is,

[tex]x > - 7[/tex]

hope it helps.

Answer:

x>-7

Step-by-step explanation:

4x-2x>-8-6

-2x>-14

x>-7

Answer:

x/16 + 10

Step-by-step explanation:

10+(x÷16)

To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times 16/16.

10 x 16 / 16 + x/16

Since 10 x 16 / 16 and x/16 have the same denominator, add them by adding their numerators.

10 x 16 + x / 16

Do the multiplications in 10×16+x.

160 + x / 16 = x/16 + 10

9514 1404 393

Answer:

  a) (-1, 2)

  b) (-4, -1)

  c) (2, 5)

Step-by-step explanation:

a) "Increasing" means points to the right are higher. This is the case for points in the interval from x = -1 to x = 2. In interval notation, the function is increasing in (-1, 2).

__

b) "Decreasing" means points to the right are lower. This is the case for points in the interval from x = -4 to x = -1. In interval notation, the function is decreasing in (-4, -1).

__

c) "Constant" means points to the right have the same value. This is the case for points in the interval from x = 2 to x = 5 (or higher). In interval notation, the function is constant in (2, 5).

Dear Mate,

your answer is

a = (-1, 2 )

b = (-4 , -1 )

c = (2, 5 )

Answer:

1000

Step-by-step explanation:

i multipled 5×200 and got the answer

Answer:

5x+29

Step-by-step explanation:

Answer:

the answerbis 5x+29 I think but I am not sure

Answer:

Step-by-step explanation:

current rate = $729/(45 hours) = $16.20/hour

increased salary = 1.10×$729 = $801.90

decreased hours = 0.90×45 = 40.5

increased rate = $801.90/(40.5 hours) = $19.80/hour

increase in rate = $19.80/hour - $16.20/hour = $3.60/hour

Answer:

Step-by-step explanation:

The longest side must be less than or equal to the sum of the two other sides. Only {8,16,23} and {7,14,21} are possible.

Answer:

(7, 14, 21)

(8, 16, 23)

Step-by-step explanation:

Answer:

b is correct

Step-by-step explanation:

Answer:

1) 3/4

2) 7/20

3) 6/25

Step-by-step explanation:

1) 0.75

= 75/100

= 3/4

2) 0.35

= 35/100

= 7/20

3) 0.24

= 24/100

= 6/25

Hope it helps!

Answer:

The equation B can be used to solve for x

B. 7x + 11x = 90

Answer:

90°

Step-by-step explanation:

5x+20=9x

20=9x-5x

20=4x

x=5

5x+20+9x=

5(5)+20+9(5)=

25+20+45=

90

Answer:

See explanations below

Step-by-step explanation:

Example of how to find the determinant of a 2×2 matrices is as shown;

[tex]\left[\begin{array}{ccc}a&b\\c&d&\end{array}\right][/tex]

= (a*d)-(b*c)

= ad - bc

Applying this to solve the given questions

1) (3*4) - (-3*-1)

= 12 - (3)

= 9

2) (-12*5)-(-1*12)

= -60 - (-12)

= -60+12

= -48

3) (0*4)-(-1*17)

= 0-(-17)

= 0+17

= 17

4) (8*-1)-(-4*-1)

= -8-(4)

= -8-4

= -12

5) (2*-1)-(2*-1)

= -2-(-2)

= -2+2

= 0

6) 1(1) - 0(0)

= 1 - 0

= 1

Answer:

Step-by-step explanation:

Given:

Equations:

Simplify the second equation by dividing all terms by 8:

Substitute t and solve for c:

Find the value of t:

Answer:

Answer:

Step-by-step explanation:

2. ∠K≅∠L and ∠M≅∠N

3. Definition of similar triangles

4. ΔJKL ≈ ΔJMN

5. Addition Property

Answer:

49.5

Step-by-step explanation:

Answer:

90/9 = 10, the length of the pool.  This can be proven as 10 x 9 = 90²

Step-by-step explanation:

Answer:

S₇ = 672

Step-by-step explanation:

If there are 7 consecutive numbers and the largest is 99, then there are 6 smaller consecutive numbers:

Smallest number = 99-6 = 93

The sequence is 93, 94, 95, 96, 97, 98, 99.

Where:

a₁ = 93

an = 99

n = 7

Sum of the sequence:

Sn = n/2(a₁ + an)

S₇ = 7/2 (93 + 99)

S₇ = 7/2 (192)

S₇ = 7(96)

S₇ = 672

Answer:

[tex]a = -5[/tex]

Step-by-step explanation:

Given

[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]

Required

Solve for a

[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]

Add 6 to both sides

[tex]6- 6 + \sqrt{9 - 8a} = 1+6[/tex]

[tex]\sqrt{9 - 8a} = 7[/tex]

Square both sides

[tex]( \sqrt{9 - 8a})^2 = 7^2[/tex]

[tex]9 - 8a = 49[/tex]

Subtract 9 from both sides

[tex]9-9 - 8a = 49-9[/tex]

[tex]- 8a = 40[/tex]

Make a the subject

[tex]a = -\frac{40}{8}[/tex]

[tex]a = -5[/tex]

Answer:

The correct answer is "995.22 turns".

Step-by-step explanation:

The given values are:

Magnetic field,

B = 0.50 T

Current,

i = 400 A

Length of solenoid,

L = 8.0 m

As we know,

⇒ [tex]B=\mu_0ni[/tex]

then,

⇒ [tex]n=\frac{B}{\mu_0i}[/tex]

On substituting the given values, we get

⇒    [tex]=\frac{0.50}{4 \pi\times 10^{-7}\times 400}[/tex]

⇒    [tex]=\frac{0.50}{5.024\times 10^{-4}}[/tex]

⇒    [tex]=995.22 \ turns[/tex]

Answer:

3/8

Step-by-step explanate

Answer:

[tex]1 \frac{1}{3}[/tex]

Step-by-step explanation:

rate of change = Δy / Δx = y2 - y1/x2 - x1

                                         = -3 - 5/-6 - 0

                                         = - 8/-6

                                         = 1 and 1/3rd

Answer:

D. $10,540

Step-by-step explanation:

1. 20% of $24,900 is $4,980

2. 20% of $27,800 is $5,560

3. Add $4,980 to $5,560

4. Answer is $10,540 in commission

Answer:

I think the outliers are 2, 5, 6, and 6. Not sure about 8 though