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Answer:

See below ~

Step-by-step explanation:

We need to represent the situations as inequalities.

===============================================================

Students can work no more than 23 hours per week

⇒ Let the hours per week be x

⇒ 'no more than' refers to less than or equal to (≤)

⇒ x ≤ 23

=============================================================

Tutors are required to spend at least 2 hours per week

⇒ At least refers to greater than or equal to (≥)

⇒ x ≥ 2

============================================================

Tutors should spend no more than 7 hours per week

⇒ As mentioned before, no more than refers to less than or equal to (≤)

⇒ x ≤ 7

ae need inequalities

#1

No more than means maximum

#2

At least means minimum

#3

No more than is maximum

h≤7

Answer:

2827.43in²

Step-by-step explanation:

formula for area of a circle is r²π with r being the radius (30 in this case)

we can plug in 30 for r to solve for the area

30²π

900π

2827.43

that is the answer

- kan academy advance

Answer: 35

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].

Sp, by the corresponding angles theorem, x=35

The answer is C , because the ends of the line are going from negative infinity to positive infinity

Automobile insurance with the split limits 200/300/400 will cover up to $200,000 in bodily injury per person.

This is a form of protection from financial loss and is used as a means of risk management.

$200,000 medical bodily injury coverage per person, $300,000 bodily injury coverage for the entire accident and $400,000 total property damage limits.

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Answer:

X= 1/2 Y= 5

Step-by-step explanation:

8x+7y=39-------------(1)--------×2

4x-14y= -68-----------(2)-------×1

16X + 14Y = 78--------(3)

4X- 14Y = -68----------(4)

Addy equation (4) and (3)

20X = 10

dividing bothsides by 20

20X/20= 10/20

X = 1/2

substitute the value of X into equation (1)

8X+7Y = 39

8(1/2)+7Y= 39

4+7Y = 39

7Y = 39-4

7Y = 35

dividing bothsides 7

7Y= 35/7

Y = 5

Answer:

6√x

Step-by-step explanation:

9√x - 3√x = 6√x

Answer:

x²+9x+8

Step-by-step explanation:

(x)(x+8)+(1)(x+8)

x²+8x + ×+8

x²+9x+8

Hey there!

x = -1 or x = -8 ✅

To solve this equation, you have to use the zero product property.

↳ Ifa product of factors is zero, then at least one of its factors is zero.

Which means that either x + 1 = 0 or x + 8 = 0

⇒ x + 1 = 0

Subtract 1 from both sides :

⇒ x + 1 - 1 = 0 - 1

⇒ x = -1

OR

⇒x + 8 = 0

Subtract 8 from both sides :

⇒x + 8 - 8 = 0 - 8

⇒x = -8

Therefore, x = -1 or x = -8.

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Answer:

5 times bigger

Step-by-step explanation:

(6-4) = 2

(6-4) x 5 = 10

Answer

9.2 units

Step-by-step explanation:

A(-2,-2) and B(4,4) then the length is given by the distance formula

length = [tex]\sqrt{(4-(-2))^{2}+(4-(-3))^{2} }[/tex] units

           = [tex]\sqrt{6^{2}+7^{2} }[/tex] units

           = [tex]\sqrt{85\\[/tex] units

           = 9.2 units          

Answer:

AB ≈ 9.2 units

Step-by-step explanation:

calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 2, - 3 ) and (x₂, y₂ ) = B (4, 4 )

AB = [tex]\sqrt{(4-(-2))^2+(4-(-3))^2}[/tex]

     = [tex]\sqrt{(4+2)^2+(4+3)^2}[/tex]

     = [tex]\sqrt{6^2+7^2}[/tex]

     = [tex]\sqrt{36+49}[/tex]

     = [tex]\sqrt{85}[/tex]

     ≈ 9.2 units ( to the nearest tenth )

Answer:

The median is 11.

Explanation:

Add the middle values to calculate the mean, then divide this by 2. That gives you 11.

Answer:

height of a cylinder = V/ πr2. = 5.002 units.

Step-by-step explanation:

correct me if i wrong

[tex]\dfrac{|AE|}{|AD|}=\dfrac{|AB|}{|AC|}[/tex]

Therefore:
[tex]\dfrac{10}{10+8}=\dfrac{x}{10}\\\\\dfrac{10}{18}=\dfrac{x}{10}\\\\18x=100\\x=\dfrac{100}{18}=5.555\ldots=5.\overline{5}[/tex]

So, none of the choices are correct (5.5 is an approximation).

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

A reflected coordinates are mirror images of each other. From the given diagram, the coordinate points are;

P = (-4, -3)

Q = (-2,-4)

R = (1, -2)

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

The y coordinates are multiplied by a factor of 2

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The input value of the function h(-7) for h(x) = 5.7 - 19x is -26.6.

We are given the function;

h(x) = 5.7 - 19x

Thus;

h(-7) = 5.7 - 19(1.7)

h(-7) = 5.7 - 32.3

h(-7) = -26.6

Thus, we conclude that the input value of the function h(-7) is -26.6.

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Check the picture below.

Answer:

y = 5/2 x

Step-by-step explanation:

y varies directly with x meaning this equation : y=kx

you plug in the information given

10 = k(4) and then solve ... k = 10/4 which simplifies to 5/2

Answer:

9-pack

Step-by-step explanation:

Price per roll for 4-pack = Pack price / Number of rolls in pack

= 2.25 / 4

= £0.56 (rounded off to nearest cent)

Price per roll for 9-pack = Pack price / Number of rolls in pack

= 4.50 / 9

= £0.50

From here, we can see the 9-pack is of better value.

Answer:

(1, 0), (2, 0), and (-3, 0)

Step-by-step explanation:

The x intercepts  are where it crosses the x axis.  It crosses at (-3,0), (1,0) and (2,0)

Answer:

my bro you gotta put the table down

Step-by-step explanation:

In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.

The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.

The measurements on the front and oblique faces are known to have all its lengths to be true.

Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.

Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.

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Answer:

1/8

Step-by-step explanation:

you divide 1 by 8 which is 1/8.

The number of schools have participated for 1 year or less are below the first quartile, which is: A. 6 schools.

The first quartile marks the 25th data point of a data distribution (1/4) and is represented at the beginning of the edge of the rectangular box in a box plot.

Using the box plot given, 1 year is the first quartile mark on the box plot. So, the schools that participated for 1 year or less is 1/4 of the total schools. That is:

1/4 × 24 = 6 schools.

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Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

Answer:

Step-by-step explanation:

A regular pentagon has five interior angles of the same measure.

Then

An interior angle has a  measure of :

540/5 = 108°

Hello, the answer should be [tex]108^o[/tex].

The interior angle of any shape formula, if the geometric shape is regular and the sum of interior angle is known, can be written as;

[tex]Interior=\frac{Sum(angles)}{Side}[/tex]

Regular pentagon has 5 sides.

The sum of interior angles of regular pentagon is [tex]540^o[/tex].

[tex]Result=\frac{540^o}{5}=108^o[/tex]

Good luck! If you have any question(s), then feel free to ask in comments.