Mike bought 3 dozen golf tees $2.19 per dozen and 4 dozen golf balls $19.99 per dozen. The sales tax was 6%. What was the sales total for the purchase?

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:

-6/3 is a rational

Step-by-step explanation:

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

Answer:

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

Answer:

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

Step-by-step explanation:

4%es la tasa de aumento

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:

49.5

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:

D) [tex](x-4.5 )^{2} =16.25[/tex]

Step-by-step explanation:

Explanation

Given that the equation

   x² - 9 x +11 =7

 [tex]x^{2} -\frac{9}{2} (2x) +11=7[/tex]

[tex]x^{2} -\frac{9}{2} (2x) +(\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]

By using (a-b)² = a²-2ab+b²

[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]

[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11-7=0[/tex]

[tex](x-\frac{9}{2} )^{2} -(\frac{81}{4}) + 4=0[/tex]

[tex](x-\frac{9}{2} )^{2} +(\frac{-81+16}{4}) =0[/tex]

[tex](x-4.5 )^{2} -16.25 =0[/tex]

Final answer:-

[tex](x-4.5 )^{2} =16.25[/tex]

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:

3/8

Step-by-step explanate

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:

36/5

Step-by-step explanation:

Did it in my head, hopefully its correct

Answer:

1) x = 4

2) a square root cannot be equal to a negative value

Step-by-step explanation:

1) add 1 to each side

2) square each side

(√2x + 1)² = 3²

2x + 1 = 9

2x = 8

x = 4

2) subtract 4 from each side

√2x + 1 ≠ -5

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:

What question are you referring to? a question references question 5 and 6 which aren't displayed.

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:

a^2+b^2+2|a||b|≥a2+b2+2ab(|a|+|b|)2≥|a+b|2(∵∀x∈R;x2=|x|2)∴|a|+|b|≥|a+b|\

Step-by-step explanation:

Answer:

[tex]1\ Lt = \pounds 1.157[/tex]

Step-by-step explanation:

Given

[tex]\pounds 1 = 0.864\ Lt[/tex]

Required

Determine the worth of 1 Lt

[tex]\pounds 1 = 0.864\ Lt[/tex]

Divide both sides by 0.864

[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]

[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]

[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]

[tex]1\ Lt = \pounds 1.157[/tex] --  approximated

Answer:

Maximum value equals 1/2

Minimum value equals -1/2

Step-by-step explanation:

The Sin Function when Graphed Shows a Range of [-1 , 1]

apply that on y=1/2 sin2x

y = 1/2 * 1 = 1

y = 1/2 * -1 = -1

so y = 1/2 , -1/2 .

dy/dx = 2 * 1/2 * cos2x

put dy/dx=0

cos2x=0

x= 45, x=135

Apply x values on y=1/2 sin2x

y = 1/2 , -1/2 .

Hope you understand it ^^.

Answer: A

Step-by-step explanation:

Answer:

4, 5, 6, 7

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:

2.3 x 10^11

Step-by-step explanation:

Answer:

$4.09 for 4kg

Step-by-step explanation:

4.09/4 is less than 6.19/6

Answer:

4.09 for 4kg

it would be a better deal bc it will b 1.0225 for each and for 6 it would be 1.0316

Hope this helps

Answer:

go by basics u will get it easier

Step-by-step explanation:

assume X2 + e3x as some function t

now find derivative you get (1/t )dt/dx

now find dt /dx. simply derivative with respect to x

for second question use formula

dy/dx = - partial derivative of function with x / partial derivative of function with respect to y