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cestrela7 [59]
3 years ago
15

Simplify. Please help.

Mathematics
2 answers:
Agata [3.3K]3 years ago
4 0

Answer:

4^8

Step-by-step explanation:

When multiplying powers, keep the base the same and add the exponents.

4^6 x 4^2 = 4^8

NemiM [27]3 years ago
3 0

Answer:

I believe it is B

Step-by-step explanation:

if correct pls mark brainliest

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Pete estimates that he has spent $64.50 on supplies for his lawn mower. He charges $12 per lawn for his service. Write a linear
nadya68 [22]

Answer:

The equation representing the Amount of profit Peter earns is y=12x-64.5 .

Step-by-step explanation:

Given:

Money spent on supplies = $64.50

Per lawn charge for mowing lawn = $12

Solution:

Let the amount of profit Pete earns be represented by 'y'.

Let the number of lawns to be mowed be represented by 'x'

Now we can say that:

Amount of profit Pete earns is equal to Per lawn charge for mowing lawn multiplied by number of lawns to be mowed minus Money spent on supplies.

framing in equation form we get;

y=12x-64.5

Hence The equation representing the Amount of profit Peter earns is  y=12x-64.5 .

7 0
4 years ago
4. Parking fees at IIUM are RM 5.00 for IIUM students and RM 7.50 for non-IIUM students. At the
professor190 [17]

Answer:

(a) 780 students and 960 non-students  

(b) No. The maximum revenue is RM9000 from 1200 non-students.

(c). Revenue is maximum of RM9000 at 1200 non-students, decreasing by RM2.50 per student to a minimum of RM6000 at 1200 students

Step-by-step explanation:

 Let x = IIUM students and

and  y = non-IIUM students

You have two conditions

(a)          x +         y = total vehicles parked

(b) 5.00x + 7.50y = total gross receipts

(a) Wednesday

From your table,  

       x +          y = 1740

5.00x + 7.70y = RM11 100  

Solve the simultaneous equations

\begin{array}{rrcrl}(1) & x + y & = &1740&\\(2) & 5.00x + 7.50y & = & 11 100\\(3)&  5.00x + 5.00y & = & 8700 & \text{Multiplied (1) by 5}\\&2.50 y & = &2400 &\text{Subtracted (3) from (2)}\\(4)&y& = &\mathbf{960} &\text{Divided each side by 2.50}\\& x +960& = &1740& \text{Substituted (4) into (1)}\\& x& = &\mathbf{780}& \\\end{array}\\\text{There are $\large \boxed{\textbf{780 students and 960 non-students}}$}

(b) Can 1200 vehicles bring in RM10000?

No. Even if all the cars were from non-students, the most you could get is  

1200 × 7.50 = RM9000

(c) Possible combinations for 1200 vehicles  

Revenue = 5.00x + 7.50y = 5.00x + 7.50(1200 -x) = 5.00x + 9000 - 7.50x =  

Revenue = 9000 - 2.50x

The maximum revenue of RM9000 occurs when there are no student cars and 1200 non-student cars.

For each student car that enters and displaces a non-student, the revenue drops by RM2.50.

Finally. when there are 1200 student cars and no non-students, the revenue has dropped to a minimum of RM6000.  

3 0
3 years ago
Which number line represents the solution of 4x - 9 > - 21?
Aleks04 [339]

Answer:4x -9 >= -21

4x >= -12

x >= -12/4

x >= -3  

so this number line started with -3 and go away till + infinity  

hope this will help you

3 0
3 years ago
Find the focus of the parabola whose equation is y=1/8 x^2
Mama L [17]

Answer:

The focus is: (0,2)

Step-by-step explanation:

Given

y = \frac{1}{8}x^2

Required

Determine the focus

The focus of a parabola

(x- h)^2 = 4p(y - k)

is:

(h,k+p)

So, we have:

y = \frac{1}{8}x^2

Cross multiply

8y = x^2

Rewrite as:

x^2 = 8y

Rewrite as:

(x - 0)^2 = 8(y - 0)

Express 8 as 4 * 2

(x - 0)^2 = 4 * 2(y - 0)

By comparison with: (x- h)^2 = 4p(y - k)

h = 0    p =2     k = 0

So, the focus (h,k+p) is:

(h,k+p) = (0,0+2)

(h,k+p) = (0,2)

7 0
3 years ago
Daniella has a baking pan shaped like a rectangular prism. It measures 16 inches wide and 3.75 inches high. If the volume of Dan
saveliy_v [14]

Answer:

Length of prism = 17.5 in

Step-by-step explanation:

Given:

Width = 16 in

Height = = 3.75 in

Volume of rectangular prism = 1,050 inches

Find:

Length of prism

Computation:

Volume of rectangular prism = WHL

1,050 = Length of prism × 16 × 3.75

Length of prism = 17.5 in

4 0
3 years ago
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