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Reil [10]
2 years ago
12

A 6-inch candle burns down in 12 hours. After how many hours will it have burned 4 inches?

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
6 0

Answer:

8 hours

Step-by-step explanation:

Let's first find how many inches the candle would have burned in 1 hour.

6 in:12 hours

x: 1 hour

We can divide 12 by 12 to get 1. This means we need to divide 6 by 12 to get x

x=1/2 inches

1/2 inches:1 hour

4 inches: x hours

We divide 4 by 1/2 to get 8. 1/2*8=4. This means...

x=1 hour*8=8 hours

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How much should you invest now at 7 1/4% simple annual interest in order to earn $190 interest in 4 months?
vlabodo [156]

Answer:

so principal amount is $7862.07

Step-by-step explanation:

Given data

rate = 7*1/4 % = 29/4 %

interest = $190

time = 4 months = 4/12 year

to find out

principal

solution

we know the simple interest formula  i.e.

interest = ( principal × rate  × time ) /100             ..................1

now put all value rate time and interest in equation 1 we get interest here

interest = ( principal × rate  × time ) /100  

190 =  ( principal × 29/4  × 4/12 ) /100  

principal = 190 × 12  ×100 /   29

principal = 7862.068966

so principal amount is $7862.07

8 0
2 years ago
What is the area of the triangle in square yards?<br> 6 yd.<br> 15 3/4 yd.
IceJOKER [234]

Answer:

6x15 2/4 yd dividedby 2

Step-by-step explanation:

do the math and u get ur answer

3 0
3 years ago
Does (-3, -7) make the equation y = 4x + 5 true?
choli [55]

Answer: Yes. True

Step-by-step explanation:

In (-3, -7) , -3 is x and -7 is y.

Now, put those values in the equation.

y = 4x + 5

-7 = (4×-3)+5

-7 = -12 + 5

-7 = -7, which is true

5 0
3 years ago
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
vichka [17]

Answer:

The first angle is the smallest

Step-by-step explanation:

Step one:

given data

Angle 1= x+37

Angle 2= 90

angle 3= x+67

We know that the sum of angle in a triangle is 180

so

x+3+90+x+67= 180

collect like terms

2x+160= 180

2x=180-160

2x= 20

divide both sides by 2

x= 10

Step two:

so

Angle 1= 10+37= 47 °

Angle 2= 90= 90

angle 3= 10+67= 77 °

7 0
3 years ago
Given the system of inequalities: 4x – 5y &lt; 1 one-halfy – x &lt; 3 which shows the given inequalities in slope-intercept form
kkurt [141]

The slope- intercept is y> (1-4x) / 5 and y< 2x + 6

<h3 /><h3>What is inequality?</h3>

A  statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

4x – 5y < 1  and 1/2y – x < 3

Solving

4x – 5y < 1

-5y < 1- 4x

-y < (1-4x) / 5

y> (1-4x) / 5

Now, the second inequality,

1/2y – x < 3

1/2y< 3+x

y< 2x + 6

Learn more about this concept here:

brainly.com/question/13762480

#SPJ1

6 0
1 year ago
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