The number divided by -4 is increased by -63, the result is -45. What is the number?

Answers

Answer 1

Answer: x / (-4) + ( -63) = -45 <=> x / ( -4) = 63 - 45 <=> x / (-4) = 18 <=> x = 18 * (-4) <=> x = -72.

Answer 2

Answer: X/-4+(-63)=-45 -1/4x-63=-45 -1/4x=18 The number was -72

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Mrs.Morales wrote a test with 15 questions covering spelling and vocabulary.spelling questions (x )are worth 5 points and vocabulary questions (y)are worth 10 points.the maximum number of points possible on the test is 100.

Answers

Here's our data:
15 questions total
Total number of points: 100
Spelling questions are worth 5 and represented by x
Vocab questions are worth 10 and represented by y
Therefore:
x+y=15
5x + 10y= 100

So:
x+y=15
x= 15-y

5x +10y =100
5(15 -y) +10y =100
75 -5y +10y =100
75 +5y = 100
5y=25
y=5

x +y=15
x+5=15
x=10
There are 10 spelling questions and 5 vocab questions

If 18 in is equal to 1 1/2 feet how many feet is a 36 in board

Answers

The answers 3 cuz 18divided by 1 1/2 is 12 and 12 divided by 36 is 3

Solve by using the quadratic formula.
15x^2 - 1 = 2x

Answers

$15x^2-1=2x\n\n15x^2-2x-1=0\n\na=15;\ b=-2;\ c=-1\n\n\Delta=b^2-4ac\to\Delta=(-2)^2-4\cdot15\cdot(-1)=4+60=64\n\nx_1=(-b-\sqrt\Delta)/(2)a;\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(64)=8\n\nx_1=(2-8)/(2\cdot15)=(-6)/(30)=-(1)/(5);\ x_2=(2+8)/(2\cdot15)=(10)/(30)=(1)/(3)$

$15x^2 - 1 = 2x \n\n15x^2-2x - 1 = 0\n \na=15, \ \ b=-2 , \ \ c=-1 \n \n\Delta =b^2-4ac = (-2)^2 -4\cdot 15 \cdot (-1) = 4+60=64 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(-(-2)-√(64))/(2\cdot 15 )=( 2-8)/(30)=(-6)/(30)=- (1)/(5)\n \nx_(2)=(-b+√(\Delta) )/(2a)=(-(-2)+√(64))/(2\cdot 15 )=( 2+8)/(30)=(10)/(30)= (1)/(3)$