Write the equation and solve it. Melanie had 345 dollars to spend on 9 books. After
buying them she had 12 dollars. How much did each book cost ?
Someone help

Answers

Answer 1
Answer: Equation: 9x + 12 = 345
Answer: 37
Answer 2
Answer:

Answer: 345 - 9x = 12 is the equation. Each book cost $37.

Step-by-step explanation: 345 - 12 = 333. This reveals that she spent $333 on books. We divide this by nine to find how much each cost. 333 / 9 = 37. In the equation, x = 37.


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Of the 125 guests invited to a wedding, 104 attented the wedding. What percent of invited guests attented the wedding?
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The sum of digits of a 3 digit number is 12. Three times the hundreds digit minus twice the tens digit is 5. If six time the units digit is added to four times the tens digit, the result is 50. Find the number.

Answers

so
xyz

x+y+z=12
3x-2y=5
6z+4y=50
so multiply 3x-2y=5 by 2
6x-4y=10
add to 6z+4y=50 and get
6x+6z+4y-4y=10+50
6x+6z=60
distribute
6(x+z)=6(10)
divide both sides by 6
x+z=10
subsitute 10 for x+z in the first equation
10+y=12
y=2
subsitute
3x-2(2)=5
3x-4=5
3x=9
x=3

x+z=10
3+z=10
z=7



x=3
y=2
z=7

number is
327

Which of the following sets of numbers could not represent the three sides of a triangle?

Answers

Answer:

Options A, D

Step-by-step explanation:

The way that we will be checking if these 3 numbers can represent a triangle is by checking if a + b ≥ c.  That means that the first two sides have to be greater than or equal to the third side.

Step 1:  Determine if Option A is a triangle

10 + 16 = 26    <-    26 is less than 27 that means that it cannot form a triangle.

Step 2:  Determine if Option B is a triangle

14 + 28 = 42    <-    42 is greater than 39 which means that these three numbers can form a triangle.

Step 3:  Determine if Option C is a triangle

12 + 27 = 39    <-    39 is equal to 39 which means that these three numbers can form a right triangle.

Step 4:  Determine if Option D is a triangle

8 + 22 = 30    <-    30 is less than 31 meaning that these three numbers can't form a triangle.

Answer: Options A, D

Final answer:

To determine if a set of numbers can represent the sides of a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side. Two sets of numbers that could not represent the sides of a triangle are 1, 2, 3 and 4, 5, 9.

Explanation:

In order for three numbers to represent the sides of a triangle, the sum of the lengths of any two sides must be greater than the length of the third side, which is known as triangle inequality. Let's consider the options:

  • 1, 2, 3: The sum of the lengths of the two smaller sides is 1+2=3, which is equal to the length of the longest side. This does not satisfy the triangle inequality, so this set of numbers could not represent the sides of a triangle.
  • 4, 5, 9: The sum of the lengths of the two smaller sides is 4+5=9, which is equal to the length of the longest side. This does not satisfy the triangle inequality, so this set of numbers could not represent the sides of a triangle.
  • 6, 8, 10: The sum of the lengths of the two smaller sides is 6+8=14, which is greater than the length of the longest side (10). This satisfies the triangle inequality, so this set of numbers could represent the sides of a triangle.

Therefore, the sets of numbers that could not represent the sides of a triangle are 1, 2, 3 and 4, 5, 9.

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Solve for y

3x + 3y = 45

Answers

Answer:

y=15-x

Step-by-step explanation:

3y=45-3x

y=15-x

If you want to solve for y, you need another one equation

Answer:

y = -x + 15

Step-by-step explanation:

Subtract 3x from each side (left and right side of the equal sign) which will leave you with 3y = -3x + 45. Then divide everything by 3 which gets you

y = -x +15

Eliminate the parameter to find the cartesian equation of the curve: x=7sinθ,y=cos2θ,−π2≤θ≤π2 x=7sin⁡θ,y=cos2⁡θ,−π2≤θ≤π2 the equation of the curve is: y = equation editorequation editor from x = equation editorequation editor to x =

Answers

Answer:

y = 1 - (2)/(49)\cdot x^(2)

Step-by-step explanation:

The parametrical components of the curve are:

x = 7 \cdot \sin \theta and y = \cos 2\theta

After some trigonometrical and algebraic handling, the parametrical variable is eliminated in the resulting expression:

y = \cos^(2)\theta - \sin ^(2)\theta

y = 1 - 2\cdot \sin^(2)\theta

y = 1 - 2\cdot \left((x^(2))/(49)  \right)

y = 1 - (2)/(49)\cdot x^(2)

Final answer:

To eliminate the parameter and find the Cartesian equation of the curve x = 7sin⁡θ,y = cos2⁡θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.

Explanation:

To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sin⁡θ. Rearranging this equation, we get sin⁡θ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2⁡θ, which can be rewritten as cos⁡(2θ) = y.

Now we can use the trigonometric identity cos⁡(2θ) = 1 - 2sin²⁡θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sin⁡θ)² = y.

Simplifying this equation, we have 2(sin⁡θ)² + y - 1 = 0. Finally, we can express sin⁡θ in terms of x using the equation sin⁡θ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.

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Jerry had $1,018.00 in savings. Last week he spent $84.00 on a desk and $372.00 on a computer from his savings. This week at a part time job sacking groceries Jerry earned $88.00 and put $44.00 of it back into savings. How much more money does Jerry need to put into savings to be back to the original balance of $1,018.00?

Answers

1018-606=412. Hope it helps

a snail moves at a speed of 2.394 inches per minute . If the snail keeps moving at this rate, about how many inches will it travel in 7.489

Answers

2.394 inches per minute x 7.489 minutes = 17.928666 inches.

So, about 18 inches.
(2.394in)/(1min) *  (7.489min)/(1) = 17.928666in

Or 17.93in with significant digits.


To break it down, you can set up your information as a fraction (which I did for the first fraction.) Then you want your units to cancel out, so I put the 7.489 minutes on the top of the next fraction and multiplied them. The min canceled out and left me with in, so I know I had the correct answer.