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Ira Lisetskai [31]
4 years ago
10

What is the remainder when 45 is divided by 7

Mathematics
2 answers:
erastovalidia [21]4 years ago
6 0
The remainder is how much is left after we divide 45/7. 

45/7 = about 6

Now, 7*6 = 42

45-42 = 3

Answer: The remainder is 3
Marizza181 [45]4 years ago
5 0
45/7
= 6 (r= 3)

The remainder when 45 is divided by 7 is 3~
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Solve for x in the equation x squared + 2 x + 1 = 17.
Papessa [141]

Answer:

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

Step-by-step explanation:

given equation

x^2 +2x +1 = 17

subtracting 17 from both sides

x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\

the solution for quadratic equation

ax^2 + bx + c = 0 is given by

x = x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a

________________________________

in our problem

a = 1

b = 2

c = -16

x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4  + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x =  ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\

thus value of x is

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

3 0
3 years ago
Amber and Allen both leave there house to go to their grandmother's house 240 miles away. Amber travels at a speed 60 mph. If sh
Montano1993 [528]

If she leaves 15 minutes earlier than Allen, she would have to drive at 56.47 mph to arrive at the same time as Amber

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Amber travels at a speed 60 mph, hence the time taken (t) is:

60 = 240/t

t = 4 hours

If he leaves 15 minutes earlier, the time would be 4 hr + 0.25 hr (15 min) = 4.25 hr, hence:

Speed = 240 miles / 4.25 hr = 56.47 mph

If she leaves 15 minutes earlier than Allen, she would have to drive at 56.47 mph to arrive at the same time as Amber

Find out more on equation at: brainly.com/question/2972832

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4 0
2 years ago
At a sale this week, a desk is being sold for $336. This is a 36% discount from the original price.
8090 [49]

Answer:

$525

Step-by-step explanation:

We can find the original price by using the formula x - 0.36x = 336, where x is the original price, 0.36 is the discount percentage (converted to decimal form), and 336 is the total amount paid after the discount is applied:

x-0.36x=336\\0.64x=336\\x=525

To check and further understand why the formula works, we can simply apply the discount to the original price and subtract the number from the original price:

525 * 0.36 = 189

525 - 189 = 336

Modeling the first formula gives us:

525 - (0.36 * 525) = 336

525 - 189 = 336

6 0
2 years ago
Triangle CDE is an isosceles triangle with angle d congruent to angle E if CD= 4x+9, DE= 7x-5, CE= 16x-27, find x and the measur
Montano1993 [528]
ANSWER

x = 3
CD= 21 \: units
DE= 16 \: units

CE= 21 \: units



EXPLANATION

It was given that ∆CDE is an isosceles triangle.

The length of the sides are given in terms of x as follows.

CD=4x+9


DE=7x-5


CE=16x-27



It was also given that, angle D is congruent to angle E.


This implies that, side CD and CE are equal.


Thus,

|CD|  =  |CE|
In terms of x, we have;

4x + 9 = 16x - 27


We group like terms to get,

16x - 4x = 9 + 27

12x = 36

Divide both sides by 12 to get,

x =  \frac{36}{12}

\therefore \: x = 3


The length of the sides are;

CD=4(3)+9 = 21 \: units

DE=7(3)-5 = 16 \: units


CE=16(3)-27 = 21 \: units
3 0
4 years ago
You buy 22 T-shirts in a sale. You pay the full price of $12$12 for the first T-shirt, and you get the second T-shirt for half t
Mice21 [21]
3/4 I do believe
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6 0
3 years ago
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