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Lerok [7]
3 years ago
14

What is the equation 8p=96

Mathematics
2 answers:
ale4655 [162]3 years ago
7 0

Answer:

I think you want the value of p. So it is 12.

Bezzdna [24]3 years ago
5 0

Answer:12

Step-by-step explanation:8p=96 first you divide 96by 8 and you’ll find your answer is 12 . 12times8 =96

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Sophia exchanged 1000 U.S. dollars for the South African currency, which is called the rand. The exchange rate was 7.15 rand to
dolphi86 [110]
Part a:-

7.15 rands = 1 dollar

So we are going to MULTIPLY to find out how many rands there are going to be.

1000 × 7.15 = <span>7150

<span>So, 7150 rands is your answer. 

Part b:-

To do this first we will DIVIDE. 

6274 </span></span>÷ 7.15 ≈ <span>877.482.......

So, 6274 rands is ABOUT $878.

Par a:- 7150 rands

Part b:- about $878.

Hope I helped ya!!!!!</span>
3 0
3 years ago
Write a real-world problem that could be represented by the expression 3(23). Then explain how you could solve the problem menta
Natalija [7]
3(23) really means 3*23, or just 3 multiplied by 23.  For example: "Jana has 23 dollars.  Her friend John has $23, and his friend Jacob also has 23 dollars.  How much money do they have all together?"  To solve this problem mentally, you could break 3*23 into two numbers you're familiar with multiplying, like 20 and 3, and then add the numbers together.  For example: 3*20 + 3*3.  3*20=60, 3*3=9, and 60+9=69.  So, 3*23=69.
5 0
3 years ago
I rent a gym for $150 for 30 students another time I rent the gym for $270 for 70 students I need to find a fixed rate
kirza4 [7]

Answer:

Fixed rate is $60.

Step-by-step explanation:

Let us consider per student charge be 'x'.

Let us consider fixed rate be 'b'

Given:

I rent a gym for $150 for 30 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

30x+b=150 \ \ \ \ equation \ 1

Also Given:

another time I rent the gym for $270 for 70 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

70x+b=270 \ \ \ \ equation \ 2

Now we will subtract equation 1 from equation 2 we get;

70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120

Dividing both side by 40 we get;

\frac{40x}{40}=\frac{120}{40}\\\\x=\$3

Now we will substitute the value of x in equation 1 we get;

30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60

So we can say that the equation can be written as;

y =3x+60

Hence we can say that fixed rate is $60 and per student charge is $3.

3 0
3 years ago
Read 2 more answers
Consider the function f(x)=6sin(x-pi/8)+8. What transformation results in g(x)=6sin(x-7pi/16)+1?​
olga nikolaevna [1]

Answer: we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

Step-by-step explanation:

First, let's define the transformations:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Here we have:

f(x) = 6*sin(x - pi/8) + 8

and the transformed function:

g(x) = 6*sin(x - (7/16)*pi) + 1

We can assume that the transformations are a vertical shift of A units, and an horizontal shift of B units, then we can write:

g(x) = f(x + B) + A

g(x) = 6*sin(x + B - pi/8) + (8 + A) = 6*sin(x - (7/16)*pi) + 1

Then we must have that:

(x + B - pi/8) = x -  (7/16)*pi

B - pi/8 = -(7/16)*pi

B = -(7/16)*pi + pi/8 =  -(7/16)*pi +2*pi/16 = (-7 + 2)*pi/16 = -5*pi/16

And we also must have that:

8 + A  = 1

A = 1 - 8 = -7

Then the transformation is:

g(x) = f(x - 5*pi/16) - 7

This means that we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

3 0
3 years ago
What is the measure of WX shown in the diagram below
Alexxandr [17]

Answer:

D. 32^{\circ}

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the measure of arc WX.

Upon looking at our given diagram, we can see that angle S is formed by intersecting secants outside the circle.

We will use intersecting secants theorem, which states that measure of an angle formed by two intersecting secants outside a circle is half the difference of intercepted arcs.

Using above theorem, we can set an equation to find the measure of arc  WX as:

m\angle S=\frac{\text{Major Arc-Minor Arc}}{2}

41^{\circ}=\frac{114^{\circ}-WX}{2}

2*41^{\circ}=\frac{114^{\circ}-WX}{2}*2

82^{\circ}=114^{\circ}-WX

82^{\circ}-114^{\circ}=114^{\circ}-114^{\circ}-WX

-32^{\circ}=-WX

WX=32^{\circ}

Therefore, the measure of arc WX is 32 degrees and option D is the correct choice.

4 0
3 years ago
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