Each year, Malcolm earns 120 hours of vacation time at his job. There are 52 weeks in a year.
What is the approximate number of hours of vacation time that Malcolm earns each week?

Answer:

y=5/3x-8

Slope = 5/3

Y int = (0,-8) or y=-8

Step-by-step explanation:

Answer: 5/3x - 8

Step-by-step explanation:

-3y=24-5x

/3

5x/3 -8

5/3x - 8

Answer:

The first term in the resulting subtraction expression is 96.

Step-by-step explanation:

Given - After applying the distributive property to the expression 8(12-4) and then multiplying

To find - What will be the first term in the resulting subtraction expression ?

Proof -

Given the expression is -

8( 12 - 4) = 8(12) - 8(4)

              = 96 - 32

⇒8( 12 - 4) = 96 - 32

So,

The first term in the resulting subtraction expression is 96.

Answer:

6 + 4d + 11c

Step-by-step explanation:

In order to find the perimeter, you add up all the side lengths which would be expressions in this case

(10c + 10) + (c + 5) + (4d - 9)

add like terms: (10c + c) + (10 + 5 - 9) +4d

= 11c + 6 + 4d

which is the same as 6 + 4d + 11c, I just added them in a different order.

Answer:

∠1 = 103°

Step-by-step explanation:

supplementary angle to 136° = 180° - 136° = 44°

∠1 = 180° - 33° - 44° = 103°

Step-by-step explanation:

Let the unnamed angle in the triangle be x.

x + 136 = 180 (Sum of angles on the same straight line)

x = 180 - 136

= 44

Angle 1 + x + 33 = 180 (Sum of angles in a triangle)

Angle 1 + 44 + 33 = 180

Angle 1 + 77 = 180

Angle 1 = 180 - 77

= 103

Answer:

the main hallway should be 12cm in the new drawing

Step-by-step explanation:

Answer:

D 9.5 x 10^-2

Step-by-step explanation:

D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The probability for a flip on either side of the coin is always 50% or [tex]\frac{1}{2}[/tex]

So to get the probability for the three flips just do:

[tex](\frac{1}{2}) ^{3}[/tex]  or [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex]

Either way you solve it the answer is [tex]\frac{1}{8}[/tex]

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Sides:\ 9cm\ and\ 8cm[/tex]

The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.

To do this, we make use of the triangle inequality theorem which states that:

Given three sides (a, b and c) of a triangle, the following inequalities exist.

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

Let a and b represent the two sides such that:

[tex]a = 9[/tex]

[tex]b = 8[/tex]

The inequalities become:

[tex]9 + 8 > c[/tex]

[tex]9 + c > 8[/tex]

[tex]8 + c > 9[/tex]

Solve for c in each:

[tex]9 + 8 > c[/tex]

[tex]17 > c[/tex]

[tex]c < 17[/tex]

[tex]9 + c > 8[/tex]

[tex]c > 8 - 9[/tex]

[tex]c > - 1[/tex]

[tex]8 + c > 9[/tex]

[tex]c >9 - 8[/tex]

[tex]c >1[/tex]

The value of c must be positive, so, we consider;

[tex]c >1[/tex] and [tex]c < 17[/tex]

Rewrite:

[tex]1 < c[/tex] and [tex]c < 17[/tex]

Combine both

[tex]1 < c < 17[/tex]

Hence, the value of c is:

[tex]c = (1,17)[/tex]

Answer:

54

Step-by-step explanation:

The square in the middle = 36, as 6x6=36

There are 2 triangles on each side of the center square.

Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.

3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2

18x1/2 is 9.

Each triangle equals 9.

36+9+9=54

The final answer is 54

Answer:

Min: (-3,2)

Hope this helps!!

Answer:

1/2 of a bag in a full week

Step-by-step explanation:

If they can eat a fourth of a bag and a half of a week then they can eat a half of a bag and a full week because to have is 1/4+1/4 which equals 1/2

Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

Answer:

120km

Step-by-step explanation:

We multiply 30km (thats how fast he was moving per hour) by the number of total hours during the journey, which is 4, 30 x 4 is 120km.

9514 1404 393

Answer:

  7u -63

Step-by-step explanation:

The distributive property says you can eliminate parentheses by applying the outside factor to each term inside parentheses.

  (u -9)7 = (u)(7) +(-9)(7) = 7u -63

Answer:

(u -9)7 = (u)(7) +(-9)(7) = 7u -63

Answer:10

Step-by-step explanation: 30/3=10 times, each time taking three minutes to count down

Answer:

3 oz

Step-by-step explanation:

You have to divide 6 by 2 and you'll get the answer.

Answer:

I think that the answer is 1/8 NOT 1

Step-by-step explanation:

Answer:

quadrant 1 that the graph is mainly in

Answer:

x = 9

x = 1

Step-by-step explanation:

Answer:

y ≤ -2x - 2

Step-by-step explanation:

Slope- intercept form is y = mx + b, m being the slope and b being the y-intercept.

The slope is the rise of the line over the run. We can choose two points that are exactly on the line. Let's try points (-1, 0) and (0, -2). The line slopes down, so we already know the slope is negative. From point (-1, 0), the line goes down 2 units and over 1 unit. So, the slope is -[tex]\frac{2}{1}[/tex]. We can also simply say that the slope is -2.

The line intersects with the y-axis at point (0, -2), so the y-intercept is -2.

Because the shading is on the left side of the line and the line is solid, we can tell that y is less than or equal to -2x - 2. So, the equation is-

y ≤ -2x - 2

Answer:

3/4

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

yr

Answer:

31.2

Step-by-step explanation:

Hope it helps !!:)

Answer:

350 yd² v. .v

Step-by-step explanation:

your welcome

Answer:

c^8

Step-by-step explanation:

Expressing the above Mathematically ;

c^5 * c^8 * c^-5

From.rules of indices :

a^x * a^y = a^(x + y)

Therefore, applying the rule of indices ;

c^5 * c^8 * c^-5 = c^(5 + 8 + - 5)

c^5 * c^8 * c^-5 = c^(5 + 8 - 5)

c^5 * c^8 * c^-5 = c^8

Hence,

c^5 * c^8 * c^-5 = c^8

B. 40 meters is the answer.

Answer:

40 meters

Step-by-step explanation:

100 centimeters= 1 meter

4000 centimeters= 4000÷100

                             =40 meters

Answer:

Step-by-step explanation:

Imagine or draw a triangle with horizontal leg length 8 - (-4), or 12, and vertical leg length |-6 - 2|, or 8.  Use the Pythagorean Theorem to find the length of the hypotenuse:  

length of hypotenuse = +√(8² + 12²) = √208 = 4√13  (Answer A)

Answer:

I'm pretty sure for the percent question the answer would be A because 6% of 40,000 is 2400 and if I multiply that 5 times I get 12000 so I believe its A!