You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use x for hours worked at the grocery store and y for hours teaching music lessons. i need the inequility for total work. please fast

The terminal point is (0, -1) if in a unit circle the angle is 3π/2 option (D) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

In a unit circle, θ = 3π/2 radians.

r = 1

Angle θ = 3π/2

The terminal point is (rcosθ, rsinθ)

= (cos3π/2, sin3π/2)

= (0, -1)

Thus, the terminal point is (0, -1) if in a unit circle the angle is 3π/2 option (D) is correct.

Learn more about circle here:

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Answer:

30

Step-by-step explanation:

Well 42

        -

       12

       30

Trapezoid

---

hope it helps

sorry if i'm wrong

i used mental maths

Dude That's a square not a trapezoid

Answer: C

Step-by-step explanation:

Answer:

the pyramid is 80 ft² and the rectangular prism is 240 ft²

Step-by-step explanation:

Answer:

x=-20

Step-by-step explanation:

3x+178=6x+238

-3x=60

x=-20

Since there are a total of 15 shirts,

5 red shirts+4 white shirts= 9 shirts total

3 blue shirts+3 purple shirts= 6 shirts total

The odds that you would pick a red shirt and then a white are 3:2

3 being the 9 red and white shirts combined.

2 being the 6 purple and blue shirts combined.

9:6 simplified=3:2

9/3=3

6/3=2

3:2

Answer: The odds that you would pick a red shirt then a white shirt would be 3:2 or 60%

Answer:

5. B

6. A

7. C

Step-by-step explanation:

Answer:

5.) b. 12 - 2x

6.) a. 8x

7.) c. 5d + 3c = 66

Step-by-step explanation:

uhm, I don't really have proof, i've just been doing this for a long time, you're just gonna have to trust me on this one

Answer:

Our radius is already given, 8.

8 x 3.14 x 2 = 50.24cm <-------- perimeter/circumference

8^2 x 3.14

64 x 3.14 = 200.96cm2 <------- area

Formula of a circumference:

2πr

2 x pie x radius (pie can be used as 22/7 or 3/4 most likely 3.14)

Formula of an area of a Circle:

πr^2

pie x radius squared (pie can be used as 22/7 or 3.14)

Answer:

d

Step-by-step explanation:

3x times 5x equals 15x^2

3x times -5 equals -15x

---> 15x^2 - 15x

Answer:

4. 50,000 square miles

5. The office would round to $800,000 instead of $700,000 because they would lose that needed $35,495. If they rounded down, their budget would be cut short, and they won’t have enough money for the office.

6. Five numbers that could also be the population: 577,777; 575,555; 578,999: 578,787; 581,545.

7. 600,000

8.584,000

9. 260,000

Step-by-step explanation:

4. In this question, we’re rounding the number, “54,555” go the nearest ten thousand. When rounding numbers you look at the number next to the digit your rounding. In this case, since the second number is not 5 or higher, we round it to 50,000 as that’s closer than 60,000.

5. Like I stated above: if they round to the lowest amount, they won’t have enough money to but what they need. Therefore, even if according to rounding it needs to be lower, it will not be beneficial to the company.

6. This are all possible numbers cause they can all by round to 580,000 AND 600,000

7. Since the number next to six is not five or higher, we round it to the closest number which is 600,000.

8. Since the number next to 3 is 5, we round it to the higher number. So it’s 584,000

9. Since the number next to the underlined nunber is 6, we round it to the closest number which is 260,000

If you have any more questions, you can ask me :)

Answer:

X = 60 degrees

Answer

80°

Step by Explanation:

the angle right to 60°= 180-60 (linear pair)

= 120°

total angle of 5 sided polygon= 540°

540° = x + 110° + 130° + 100° + 120°

540° = x + 460°

x= 540° - 460°

x = 80°

Answer:

5 + 5 + 3 × 7

Step-by-step explanation:

Correct me if I'm wrong.

Answer:

$1159.69

Step-by-step explanation:

A = P (1 + r/n)^nt

A = 1000 (1 + 0.05/2)^2(3)

A = $1159.69

Answer:

x = -6.4 and y = -3.6

Step-by-step explanation:

The given system of equations are :

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

and

[tex]y=\dfrac{x}{4}-2[/tex] ....(2)

We need to solve equation (1) and (2).

From equation (1) and (2),

[tex]\dfrac{3}{2}x+6=\dfrac{x}{4}-2[/tex]

Taking like terms together,

[tex]\dfrac{3}{2}x-\dfrac{x}{4}=-2-6\\\\\dfrac{6x-x}{4}=-8\\\\x=-6.4[/tex]

Put the value of x in equation (1).

[tex]y=\dfrac{3}{2}(-6.4)+6\\\\=-3.6[/tex]

So, the values of x and y are x = -6.4 and y = -3.6

Answer:

The width of the actual fence is 90ft

Step-by-step explanation:

If 2in = 10ft, you want to find the scale factor. To do this, you need to divide 10/2, so for every 5ft, it is 1in. Now, you would take how many inches you have and multiply it by 5. (in our case, 18in)

18 x 5 = 90.

So the actual fence length is 90ft.

Answer:

Kristy makes 16 per hour.

Step-by-step explanation: Divded 48 by 3.

Answer:

D is the answer

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:

c) gives each member of the population a known chance to be selected

Step-by-step explanation:

A sample is said to be  a probability sample when each and every unit of the population would have the known chance or the probability i.e. more than zero when selected in the sample

So according to the given options, it is the sample where each member have the known chance to be selected

Therefore the option c is correct

Answer:

Step-by-step explanation:

the n number of value of x

[tex] \displaystyle x_{1},x _{2} \dots x_{n}[/tex]

let it be

[tex] \displaystyle x_{1} = x _{2} = x_{3}{\dots }= x_{n} = a[/tex]

now, the A.M of x is

[tex] \rm \displaystyle \: A.M = \frac{ x_{1} + x_{2} + \dots \dots \: + x_{n} }{n} [/tex]

since every value equal to a

substitute:

[tex] \rm \displaystyle \: A.M = \frac{ a + a + \dots \dots \: + a}{n} [/tex]

[tex] \rm \displaystyle \: A.M = \frac{ na}{n} [/tex]

reduce fraction:

[tex] \rm \displaystyle \: A.M = a[/tex]

the G.M of x is

[tex] \rm\displaystyle \: G.M =( x_{1} \times x _{2} {\dots }\times x_{n} {)}^{ {1}^{}/ {n}^{} } [/tex]

since every value equal to a

substitute:

[tex] \rm\displaystyle \: G.M =( a \times a{\dots }\times a{)}^{ {1}^{}/ {n}^{} } [/tex]

recall law of exponent:

[tex] \rm\displaystyle \: G.M =( {a}^{n} {)}^{ {1}^{}/ {n}^{} } [/tex]

recall law of exponent:

[tex] \rm\displaystyle \: G.M = a[/tex]

the H.M of x is

[tex] \displaystyle \: H.M = \frac{n}{ \frac{1}{ x_{1}} + \frac{1}{ x_{2} } {\dots } \: { \dots}\frac{1}{x _{n} } } [/tex]

since every value equal to a

substitute:

[tex] \displaystyle \: H.M = \frac{n}{ \frac{1}{ a} + \frac{1}{ a } {\dots } \: { \dots}\frac{1}{a } } [/tex]

[tex] \displaystyle \: H.M = \frac{n}{ \dfrac{n}{a} } [/tex]

simplify complex fraction:

[tex] \displaystyle \: H.M = n \times \frac{a}{n} [/tex]

[tex] \displaystyle \: H.M = a \: [/tex]

so

[tex] \displaystyle \: A.M = G.M = H.M = a[/tex]

hence,

[tex]\text{Proven}[/tex]

Answer:

Answer:

400,000

Step-by-step explanation:

Calculate the doubling time period-

Doubling time period(t)=

doubling time period(t)= 2

Calculate the new population using the doubling time formula below where t is the number of doubling periods:

Population = Initial Population * [tex]2^{t}[/tex]

Population = 100000 * [tex]2^{2}[/tex]

Population = 100000 * 4

Answer:

2d) d = 60°

3a) x = 50°

Step-by-step explanation:

2d) both of the diagonals pass through the centre of the circle and divide the rectangle into 4 triangles,then it means that;

30 + d = 90°

d = 90 - 30

d = 60°

3a) since O is the centre of the circle, and we can see that the 2 chords directly above and below the centre are parallel to each other, it means that angle x = 50° since the two sides projecting from the centre to form x° and 50° are equal and in essence used to form isosceles triangle.

Answer:

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

Step-by-step explanation:

Factorization is the process of taking like terms out of number such that one can rewrite an expression by its factors, or as the products of serval smaller expressions.

The first step to factoring an equation is to rewrite the linear term as the sum or difference of two other linear terms. One must do this in such as way that it shares a common factor with one of the other terms in the expression.

[tex]12x^2 -x - 6[/tex]

[tex]12x^2 -9x + 8x - 6[/tex]

Take out the common factor,

[tex]3x(4x-3)+2(4x-3)[/tex]

Factor,

[tex](3x+2)(4x-3)[/tex]

Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

Answer:

[tex]3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15[/tex]

Graph is not inserted.

Answer:

39.837168574084177751131265854635

Step-by-step explanation:

If you plug it into a calculator, you get that.

Next time, please pay attention in class and save us all a little trouble.

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Hello There!

We can calculate the distance between two points using the distance formula

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

where the x and y values are derived from the coordinates in which you are trying to find the distance between

The points we need to find the distance between is (3,-8) and (8,4)

So we plug the x values and y values into the formula

[tex]d=\sqrt{(8-3)^2+(4-(-8)^2} \\8-3=5\\4-(-8)=12\\d=\sqrt{5^2+12^2} \\5^2=25\\12^2=144\\144+25=169\\\sqrt{169} =13[/tex]

so we can conclude that the distance between the two points is 13 units

1/2 + 1/5 = 5/10 + 2/10 = 7/10

Answer:

7/10

Step-by-step explanation:

1x5/2x5 + 1x2/5x2

=5/10+2/10

=7/10