Me remaining days
(7) Jill and Kelly work as consultants and get paid per project. Jill gets paid a project fee of
$25 plus $10 per hour. Which expression shows how much Jill will get paid after h hours?
a. 25 + 10h
b. 25h 4 10
c. 25 + 10 + h
d. 25h + 10h

Answer:

[tex]\dfrac{2}{3}.[/tex]

Step-by-step explanation:

It is given that a box contains 2 dozen pairs of contact lenses ,of which 8 pairs are tinted.

1 dozen = 12 units

Total pairs of contact lenses [tex]=2\times 12 = 24[/tex]

Tinted pairs of contact lenses = 8

Pairs of contact lenses not tinted = 24 - 8 = 16

If a pair of contact lenses is drawn at random from the box, then we need to find the probability that it is not tinted.

[tex]P(\text{Not tinted})=\dfrac{\text{Pairs of contact lenses not tinted}}{\text{Total pairs of contact lenses}}[/tex]

[tex]P(\text{Not tinted})=\dfrac{16}{24}[/tex]

[tex]P(\text{Not tinted})=\dfrac{2}{3}[/tex]

Therefore, the required probability is [tex]\dfrac{2}{3}.[/tex]

Answer:

2/3

Step-by-step explanation:

You have 6 possible outcomes. Getting 1 outcome is 1/6. You have 2 possible outcomes. Getting 1 outcome is 1/2.

Add 1/2 and 1/6 to get 2/3

hello

[tex]\dfrac{-1}{x}\sqrt{2}=\dfrac{-\sqrt{2}}{\sqrt{3}-\sqrt{2}}=\dfrac{-\sqrt{2}(\sqrt{3}+\sqrt{2})}{(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})}\\\\=\dfrac{-\sqrt{2}(\sqrt{3}+\sqrt{2})}{3-2}\\\\=-\sqrt{6}-2[/tex]

hope this helps

Answer:

The expression in standard form is -3 + 6i

Step-by-step explanation:

Writing complex equation in standard form we have;

-3 + yi = x + 6i

We transfer the real and imaginary parts to be on different sides of the equation as follows;

yi - 6i = x + 3

We factorize the imaginary part;

i(y-6) = x + 3

We note that the real portion on the left hand side of the equation is zero, therefore, we have;

i(y-6)  + 0= x + 3

x + 3 = 0

Therefore, x = -3

Substituting the value of x in the first equation, we have;

-3 + yi = -3 + 6i

Comparing gives;

y = 6

The expression in standard form is -3 + 6i.

Answer:

(Change in y)/(change in x) is defined as the average rate of change.

For a linear equation:

y = a*x + b

A is the average rate of change, and is called the "slope" of the linear equation, and this is a constant.

Then the sentence will be:

"The average change between two ordered pairs (x,y) is the ratio (change in x)/(change in y)

In a linear function, this is called the slope, and it is constant"

Answer:

73.3 %

Step-by-step explanation:

To find the percentage

44/60

.73333333

Change to a percentage by multiplying by 100

73.3 %

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▹ Answer

73.3%

▹ Step-by-Step Explanation

44 ÷ 60 = 0.73333333333* 100→ 73.3%

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

SP = 43 units

Step-by-step explanation:

Given question is incomplete: find the complete question in the attachment.

From the figure attached,

Length of LN = (5x - 14)

Length of SP = (2x + 3)

By the mid-segment theorem,

"Segment connecting the mid points of two sides of a triangle is parallel and half the length of the third side."

SP = [tex]\frac{1}{2}(\text{LN})[/tex]

(2x + 3) = [tex]\frac{1}{2}(5x - 14)[/tex]

4x + 6 = 5x - 14

5x - 4x = 14 + 6

x = 20

SP = (2x + 3)

    = (2×20) + 3

    = 43 units

Therefore, measure of SP = 43 units is the answer.

Answer:

4x – 3 + 2x = 33

6x = 36

x = 6

D. x = 6

Answer:

Option (D)

Step-by-step explanation:

Sum of interior angles of a polygon is represented by the expression,

Sum of interior angles = n(n - 1)×180°

Here n is the number of sides of a polygon

If n = 18,

Sum of 18 sided polygon = (18 - 1) × 180°

                                         = 7 × 180°

                                         = 3060°

Therefore, sum of interior angles of a 18 sided polygon will be 3060°.

Option (D) will be the answer.

Answer:

2880

Step-by-step explanation:

SUM=_-2=

18-2=16

16*180 = 2880 OR

18*160 = 2880 degrees

Answer:

answer is 8x+10x

18x

is the answer

Answer:

8%

Step-by-step explanation:

Hello,

8% of the students take neither History or French

so we have 8*200/100=8*2=16 students  out of French and History

let s say that

a is the number of students taking only History

b is the number of students taking both History and French

c is the number of students taking only French

10% of those who take History also take French

so 0.10(a+b)=b <=> 0.10a+0.10b=b

<=> 0.10a+0.10b-0.10b=b-0.10b=0.9b

<=> 0.10a=0.90b

let's multiply by 10 it comes a = 9b

4 times as many students take History as take French

so a + b = 4 (b + c)

it comes 9b + b = 10b = 4b + 4c

<=> 10b-4b=4b+4c-4b=4c

<=> 6b=4c

<=> 3b=2c

<=> c = 3b/2

and we know that a + b + c = 200 - 16 = 184

so

9b + b + 3b/2 = 184 we can multiply by 2 it comes

20 b + 3b = 184*2

23b = 184*2 = 23 * 8 *2 = 23*16

b = 23*16/23 = 16

so b = 16

c = 3*16/2 = 24

c = 24

a = 9b = 144

a = 144

you can see the Venn diagram below

and then the probability that a student picked at random does History and French is 16/200 = 8%

so the answer is 8%

hope this helps

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▹ Answer

C. x = -4

▹ Step-by-Step Explanation

The line passes through the point -4, and a vertical line represents x. Therefore, the answer is x = -4.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

x= -4

Step-by-step explanation:

The graph shows that the line crosses -4 and stays paralell with y-axis so the equation is x=-4

Answer:

We can write:

x + y = -2

xy = -80

We can rewrite the first equation as x = -y - 2 and then plug that into the second equation to get (-y-2) * y = -80 → -y² - 2y = -80 → y² + 2y - 80 = 0 → (y - 8)(y + 10) = 0 → y = 8, -10. Substituting these values into the first equation we get x = -10, 8 so the answer is (x₁, y₁) = (-10, 8) or (x₂, y₂) = (8, -10).

Answer:

Step-by-step explanation:

A∩B={x| x∈a and x∈B}

a) A∩B={4,6}

b) A∩B={ 4,9}

c) A∩B={yellow,green}

Answer:

y = 25 + 3.5x, where x is a half hour

y = 25 + 3.5 (4 * 2) = $53

Step-by-step explanation:

Answer:

I hope it will help you.....

Answer:

Proved!

Step-by-step explanation:

For two functions f(x) and g(x) to be inverses of each other then;

f(g(x)) = x and g(f(x)) = x condition must be satisfied.

Checking: A. f(x) = 7x³ + 10 and g(x) = ∛[tex]\frac{x - 10}{7}[/tex]

So f(g(x)) = 7([tex]\sqrt[3]{(x- 10)/7}[/tex])³ + 10

We get; 7([tex]\frac{x - 10}{7}[/tex]) + 10 = x - 10 + 10 = x (*This is correct!)

So g(f(x)) = [tex]\sqrt[3]{((7x^3 + 10) - 10)/7}[/tex]

Ten cancels out and we are left with;

[tex]\sqrt[3]{7x^3/7}[/tex] = [tex]\sqrt[3]{x^3}[/tex] = x (* This is also correct!)

Answer: A

Step-by-step explanation: A P E X

Answer:

d) 405 = 15 times 4.5 times h

The height of the prism 'h' = 6 inches

Step-by-step explanation:

Explanation:-

Given Volume of prism

                            V = 405 cubic inches

Given length of the prism

                         L = 15 inches

Given width of the prism

                       W = 4.5 inches

The volume of the prism

                        V = l w h

                       405 = 15 ×4.5× h

                       405 = 67.5 h

Dividing '67.5' on both sides , we get

                      h = 6 inches

Final answer:-

The height of the prism 'h' = 6 inches

Answer: V = l w h. 405 = 15 times 4.5 times h

Step-by-step explanation:

Given the following :

Volume of prism = 405 in^3

Length = 15 inches

Height = h

Width = 4.5 inches

Recall :

The volume of a prism is the product of the Base and the height.

That is;

Volume = Base × height

However, Base of prism is given by the area of the base shape of the prism.

From our parameters Base shape of the prism is a rectangle.

Therefore, Area of rectangle = Length × width

= 15 inches × 4.5 inches = 67.5 inch^2 = Base of prism

Therefore, Volume of prism equals ;

Volume = 15 × 4.5 × h

Volume = 405in^3

Volume = Base × height

405 = 15 × 4.5 × h

Answer:

[tex]Time = 7.5\ seconds[/tex]

Step-by-step explanation:

Given

[tex]Equation:\ h(t) = -16t^2 + 120t[/tex]

[tex]Initial\ Velocity = 160ft/s[/tex]

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

[tex]h(t) = -16t^2 + 120t[/tex]

becomes

[tex]0 = -16t^2 + 120t[/tex]

Solve for t in the above equation

[tex]-16t^2 + 120t = 0[/tex]

Factorize the above expression

[tex]-4t(4t - 30) = 0[/tex]

Split the expression to 2

[tex]-4t = 0\ or\ 4t - 30 = 0[/tex]

Solving the first expression

[tex]-4t = 0[/tex]

Divide both sides by -4

[tex]\frac{-4t}{-4} = \frac{0}{-4}[/tex]

[tex]t = \frac{0}{-4}[/tex]

[tex]t =0[/tex]

Solving the second expression

[tex]4t - 30 = 0[/tex]

Add 30 to both sides

[tex]4t - 30+30 = 0+30[/tex]

[tex]4t = 30[/tex]

Divide both sides by 4

[tex]\frac{4t}{4} = \frac{30}{4}[/tex]

[tex]t = \frac{30}{4}[/tex]

[tex]t = 7.5[/tex]

Hence, the values of t are:

[tex]t =0[/tex] and [tex]t = 7.5[/tex]

[tex]t =0[/tex] shows the time before the launching the rocket

while

[tex]t = 7.5[/tex] shows the time after the rocket returns to the floor

Answer:

Step-by-step explanation:

Find attached a diagram for proper elucidation of the question. The resulting shape is a right angled triangle with hypotenuse FJ, and the other two sides DF and DJ respectively.

Using Pythagoras theorem to get the side DJ which is the distance between Daniel and Joy. According to the theorem, the square of the hypotenuse of a right angled triangle is equal to the sum of the other two sides.

FJ² = DF² + DJ²

From the diagram, FJ = 8 and DF = 5. Substituting this values into the theorem above to get DJ;

8² = 5²+DJ²

DJ² = 8²-5²

DJ² = 64 -25

DJ² = 39

DJ = √39

DJ = 6.2 (to the nearest tenth)

This shows that Darnel is 6.2 metres away from Joy

Answer:

20°.

Step-by-step explanation:

According to both the diagram and the presented angle measure, m∠RPS + m∠QPR = m∠QPS.

(4x + 27) + (9x - 115) = 107

4x + 9x + 27 - 115 = 107

13x - 88 = 107

13x = 195

x = 15

Now that we have the value of x, we can find the m∠QPR.

9x - 115

= 9 * 15 - 115

= 135 - 115

= 20

So, m∠QPR is 20°.

Hope this helps!

Answer:

option A is correct

Step-by-step explanation:

The number of roots a polynomial has is a factor of the exponent to which it’s highest power is raised

What we are saying here is that the number of roots a polynomial has is equal to the exponent on its highest power

That is why for example a quadratic equation has 2 roots

Now, to get 8 roots, the highest exponent should be 8

After expansion, the first polynomial has a term in the 8th power so it is our answer

The second polynomial, although we have a term in x^4 but it is raised to another 4 which is totally raised to 16 and that cannot be our answer

The correct answer here is the first polynomial

Answer:

Its A on Edge 2020

Step-by-step explanation:

Answer: 12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation:

The greatest common factor of 60 and 72 is 12.  Thus divide both numbers(60 and 72) by 12 to get 5 and 6.  Thus, Miss Smith made 12 packages with 5 notebooks and 6 pencils in each package.

Answer:

12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

y = 1/2x + c

Put x as 1, and y as 1/2.

1/2 = 1/2(1) + c

1/2 - 1/2 = c

0 = c

Answer:

The answer would be 0.

Step-by-step explanation:

This is the slope formula. y=mx+b in which b equals the y-intercept, and considering the pattern going on in the graph, when y is 0, so will the x be.

Answer:

Decrease of 4% ($4).

Step-by-step explanation:

Suppose the initial price was $100. An increase of 20% will make the price $120.

Now we decrease it 20% which brings it to 120 - 0.20 * 120

= 120 - 24

= $96.

So that's an overall decrease of $4 or 4%.

Answer:

2</x  or x>/2

Step-by-step explanation:

-6>/10-8x

-10   -10

-16>/-8x

divide both sides by -8

2</x  or x>/2

the reason the sign is bc u r dividing by a - number.

Answer:

x ≥ 2

Step-by-step explanation:

-6 ≥ 10 - 8x

Subtract 10 on both parts.

-6 - 10 ≥ 10 - 8x - 10

-16 ≥ -8x

Divide both parts by -8 remembering to  reverse sign.

-16/-8 ≤ (-8x)/-8

2 ≤ x

Switch parts.

x ≥ 2

it is 9

and it is also 54

Answer:

3 and 63.

Step-by-step explanation:

The sequence formula is [tex]\frac{3n(n+1)}{2}[/tex].

Resulting in a sequence of 0, 3, 9, 18, 30, 45, 63.

Answer:

q = 15

Step-by-step explanation:

2q – 4 = 26    (add 4 to both sides)

2q = 26 + 4

2q = 30      (divide both sides by 2)

q = 30/2

q = 15