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3 years ago

Please help me with this thanks

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.

If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.

If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.

So 3x = 4 (mod 5) when x = 3.

<h3>The final answer is C) 3</h3>

We don't need to check D since x = 3 is a solution and it's smaller than x = 4.

If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.

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Sasha made a small pizza with four pieces of ham in five pieces of pineapple she is making a large pizza with 12 pieces of ham u

grin007 [14]

Answer:

Sasha used 15 pieces of pineapple

Step-by-step explanation:

<u><em>The complete question is</em></u>

Sasha made a small pizza with four pieces of ham and five pieces of pineapple. He is making a large pizza with 12 pieces of ham using the same proportion of pineapple ham. How many pieces of pineapple did Sasha use?

Let

x ----> pieces of ham

y ----> pieces of pineapple

we know that

$\frac{x}{y}=\frac{4}{5}$ ----> equation A

For x=12

substitute in the equation A and solve for y

$\frac{12}{y}=\frac{4}{5}$

$y=12(5)/4\\y=15$

therefore

Sasha used 15 pieces of pineapple

7 0

3 years ago

a slide on the playground is 12 and 1/2 FEET long..... its 3 feet and 7 inches longer then the small slide.... how long is the s

11111nata11111 [884]

You simply have to add the two numbers together, however, you have to convert everything into inches only. You know that there are 12 inches in one foot. To calculate the length of the longer slide, it is simply doing 12 feet TIMES 12 (since there are 12 inches in one foot). This makes 144 inches. Add 1/2 feet in there, this is adding 1/2 of 12 inches, which is 12/2=6 inches. The long slide is therefore 144+6= 150 inches. Now you want to convert 3 feet and 7 inches into inches only. 3 feet TIMES 12 = 3x12=36 inches. Add 7 inches to this, and you will get 36+7=43 inches. To know how long the small slide is, subtract 43 inches from 150 inches, and this will give you 150-43=107 inches. So, the small slide is 107 inches. :)

3 0

3 years ago

Y=6x - 11 -2x - 3y = -7

Ray Of Light [21]

<h2>Therefore x=2 and y= 1</h2>

Step-by-step explanation:

Given equations are

$y = 6x -11$ and $-2x -3y = -7$ .........(2)

⇒ $y - 6x = -11$ .......(1)

Equation (2)× 3 - Equation (1)

$-6x -9y -(y-6x) = -21 -(-11)$

⇔ $-6x -9y-y+6x=-21+11$

⇔-10y = -10

⇔y=1

Putting the value of y in equation (1) we get

$1 = 6x -11$

⇔x =2

Therefore x=2 and y= 1

3 0

3 years ago

The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time.

Klio2033 [76]

Answer:

B. $y = \frac{50}{3} x$

5 0

2 years ago

mafiozo [28]

Answer:

$x$ = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of $x$ , we need to add together all the interior angles and equal it to 720, then solve for $x$ .

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°

Therefore:

A + B + C + D + E + F = 720

(10 $x$ - 5) + 108 + (8 $x$ - 3) + (14 $x$ - 25) + 133 + 128 = 720

Collect like terms:

10 $x$ + 8 $x$ + 14 $x$ - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32 $x$ + 336 = 720

Subtract 336 from both sides:

32 $x$ = 384

Divide both sides by 32:

$x$ = 12

8 0

2 years ago