a 18-inch candle is burning at the rate of 1 inch per hour and 1 15-inch candle is burning at half of an inch per hour. How long will it take for the two candles to be the same height?

Answer:

The balance would be $160 from whatever it was before the 4 months.

Step-by-step explanation:

Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.

So if the balance before was $40, then the new balance after 4 months would be $200.

If there's no money previously, then there is now $160 after 4 months.

If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The solution of a linear system is the intersection of the lines.

We can see the lines A and B intersect at the point (7.5, 12) which is the solution.

See attached for better visualization.

Answer:

(7.5,12.5)

Step-by-step explanation:

Step-by-step explanation:

the sum of all angles in a triangle is 180 degrees.

so,

x + (x - 6) + (2x + 34) = 180

x + x - 6 + 2x + 34 = 180

4x + 28 = 180

4x = 152

x = 38 degrees

x - 6 = 32 degrees

2x + 34 = 110 degrees

Answer:

[tex] - 19 = x - 19 \\ x = - 19 + 19 \\ x = 0 \\ thank \: you[/tex]

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

Answer:

4 1/3

Step-by-step explanation:

Hypothetically, imagine 2 5/6 was postive, you add it to 1 1/2 to get your answer, but you cant do that until the fractions have a common denominator. To get a common denominator of six, you would multiply both the numerator and denominator of 1/2 by 3, giving you 3/6. Now you have 2 5/6 and 1 3/6, adding them together gives you 3 8/6, but we cant stop here, since 8/6 is 1 2/6, add 3+1 and you now have 4 2/6. The last thing you do here is simplyfy the fraction making it 1/3 now instead of 2/6. Giving you a final answer of 4 1/3 units.

Answer:

25h = x

Step-by-step explanation:

If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

Answer:

x + 2 + 3x = 30

Step-by-step explanation:

Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.

Let x = Zach's car length.

Zach's car length is x.

"Ginny's car is 2 more than 3 times the length of Zach's car."

Ginny's car length is 2 + 3x.

Add the lengths:

x + 2 + 3x

"The sum of the lengths of both cars is 30 inches."

x + 2 + 3x = 30

Answer: x + 2 + 3x = 30

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

Answer:

16/40 = 0.4

Step-by-step explanation:

Find total marbles then divide the number of green by total.

Answer:

64w^2

Step-by-step explanation:

Because 8w is in parentheses, you must apply the exponent to both the 8 and w.

So, it becomes (8*8)(x*x) which equals (64)(x^2).

Which then gives you your final answer, 64x^2.

Answer: D

Step-by-step explanation:

v = 1/3bh

3v/b = h

Answer:

According to my equation it's 20°

Answer:

12,880

Step-by-step explanation:

You put them in least to greatest and then take one off each end, like the smallest and largest go first(5,468 and 13,215). The median is the one left in the middle and there can be more than one, but in this case there is only one and it is 12,880.

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

Answer:

The answer is B

Step-by-step explanation:

Answer:

B is right

Step-by-step explanation:

I got 100 on my test, give the other person brainliest.

First, let's write down what we know.

AB = 3x

AC = 5x+21

Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.

AB + AB = AC

Let's plug in our values.

3x + 3x = 5x + 21

Simplify the left side.

6x = 5x + 21

Subtract 5x from both sides.

x = 21

Now, let's plug in 21 for x in AB

AB = 3x = 3(21) = 63

it is less than square root 30

Answer:

c) 2/15

Step-by-step explanation:

LA= 2/3 = 10/15

S=1/5 = 3/15

15/15 - 13/15 = 2/15

Math books= 2/15

Answer: The equation for the perpendicular bisector of line segment xy is .

Explanation:

It is given that the line segment xy has endpoints x(5,7) and y(-3,3).

The bisector divides the line segment xy in two equal parts, so the bisector must be passing through the midpoint of xy.

Midpoint of two points (x_1,y_1) and (x_2,y_2) is calculated as,

Midpoint of xy is,

So, the perpendicular bisector must be passing through the point (1,5).

The slope of line passing through the point (x_1,y_1) and (x_2,y_2) is calculated as,

Slope of line segment is . Therefore the slope of perpendicular bisector is -2 because the the product of slopes of two perpendicular lines is always -1.

The line passing through the point (x_1,y_1) with slope m is defined as,

Bisector passing through the point (1,5) with slope 2.

Therefore, the equation for the perpendicular bisector of line segment xy is .

Answer:

Step-by-step explanation:

Answer:

this question doesn`t have much information but here`s my best guess

(2x-y)^2

[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y.

1. **Difference between 2x and y:** The difference between 2x and y is calculated by subtracting y from 2x. This gives us the expression "2x - y," which represents the numerical difference between these two quantities.

2. **Square of the Difference:** To square this difference, we simply multiply "2x - y" by itself. When you square something, you multiply it by itself. In mathematical notation, squaring is denoted using an exponent of 2, which is written as "^2."

So, combining the two steps, we have:

[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y. When you expand this expression, you get a quadratic expression, which may include terms like [tex]4x^2, y^2[/tex], and -2xy, among others, depending on the values of x and y.

To know more about difference :

https://brainly.com/question/18757471

#SPJ3

Answer:

10, 12, 14

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let (x+2) be equal to the next even integer.

Let (x+4) be equal to the largest even integer out of the three.

We're given:

⇒ smallest number + (2 × middle number) = 20 + largest number

Construct an equation:

[tex]x+2(x+2)=20+(x+4)[/tex]

Combine like terms:

[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10, making the next two even integers 12 and 14.

I hope this helps!