Which of the following is the solution to (x-13)<18

Answers

Answer 1

Answer:

Answer:

The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)

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$6300 is invested , part of it at 12%, and part at 6%. For a certain year, the total yield is 564.00. How much was invested at each rate?
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Find the given term 11, -33,99 9th term

Answers

Assuming the sequence goes on like this 11,-33,99,-297,891,...,
its general formula is $a_n=-11\cdot(-1)^n\cdot3^(n-1)$

So, the 9th term is
$a_9=-11\cdot(-1)^9\cdot3^(9-1)=-11\cdot(-1)\cdot6561=72171$

A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x + 6y = 7.50 10x + 5y = 8.75

Answers

Given:
let x = apples
let y = oranges

Equation 1: 6x + 6y = 7.50
Equation 2: 10x + 5y = 8.75

Equation 1 - Equation 2
6x + 6y = 7.50
- (10x + 5y = 8.75)
-4x+ y = -1.25
y = -1.25 + 4x

6x + 6y = 7.50
6x + 6(-1.25 + 4x) = 7.50
6x - 7.50 + 24x = 7.50
30x = 7.50 + 7.50
30x = 15
x = 15/30
x = 1/2 or 0.50 cost of one apple

y = -1.25 + 4x
y = -1.25 + 4(0.50)
y = -1.25 + 2
y = 0.75 cost of one orange

6x + 6y = 7.50
6(0.50) + 6(0.75) = 7.50
3 + 4.5 = 7.50
7.50 = 7.50

10x + 5y = 8.75
10(0.5) + 5(0.75) = 8.75
5 + 3.75 = 8.75
8.75 = 8.75

Answer:

The cost of one apple would be 0.5 :)

Step-by-step explanation:

Just took the test, hope this helps :)

V= Bh/3 solve for h.

Answers

The equation $h = (3V)/(B)$ gives the value of h in terms of V (volume) and B (base area) for the given equation $V = (Bh)/(3)$ .

Given equation: $V = (Bh)/(3)$

Step 1: Multiply both sides of the equation by 3 to isolate Bh:

$3V = Bh$

Step 2: Divide both sides of the equation by B to solve for h:

$h = (3V)/(B)$

So, the equation solved for h is:

$h = (3V)/(B)$

This gives you the value of h in terms of V (volume) and B (base area) for the given equation $V = (Bh)/(3)$ .

To know more about equation, refer here:

brainly.com/question/20420746

#SPJ3

Answer:

h=3v/b

Step-by-step explanation:

Y = x - 2 and y=-2x +7

Answers

$\huge\boxed{\boxed{\bold{(3, 1)}}}$

$\hrulefill$

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of $y$ from the second equation and substitute it into the first:

$-2x+7=x-2$

Add $2x$ to both sides of the new equation:

$7=3x-2$

Now add $2$ to both sides of the equation:

$9=3x$

Divide both sides by $3$ :

$\boxed{3}=x$

Now let's solve for $y$ by substituting the known value of $x$ into the first equation:

$y=3-2$

Simplify using subtraction:

$y=\boxed{1}$

This means our solution is:

$\large\boxed{(3, 1)}$

Answer:

x = 3, y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3, y = 1

Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated, and why?A) (-1, 1)(-2, 1)(-1, 4); because corresponding pairs of angles are congruent.

B) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of angles are congruent.

C) (-1, 1)(-2, 1)(-1, 4); because corresponding pairs of sides and corresponding pairs of angles are congruent.

D) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of sides and corresponding pairs of angles are congruent

Answers

Answer:

D) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of sides and corresponding pairs of angles are congruent

Step-by-step explanation:

For triangles to be congruent, it is not enough that corresponding angles are congruent. In addition, there must be at least one pair of corresponding sides that are congruent. (Then all pairs will be congruent.)

The points listed in choices B and D are points that form a right triangle with leg lengths 2 and 6. However, choice B only refers to the angle measures, and not the sides. Choice D is the correct one.

In which quadrant is the number –14 – 5i located on the complex plane?

Answers

The complex plance is just like the trigonometric plane except the case is just the x plane pertains to the imaginary part of teh number and the y axis pertains to the real part of the number. In the number -14-15i, x axis is negative and y axis is also negative. Hence the number should belong to quadrant III.

the answer will be 5i+6

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