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3 years ago

Add, answer as a fraction: 1/15 + 3/12

Mathematics

2 answers:

Nataly [62]3 years ago

7 0

First change 3/12 to 45/180 and 1/15 to 12/180 and 12+45=57 so the answer is 57/180

charle [14.2K]3 years ago

3 0

First you need to find the LCD, which is 60 in this case. After you find the LCD the rest is easy. Just add the two numbers together:

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Translate the sentence into an equation. Five more than the product of a number and 9 is equal to 6

kap26 [50]

The first thing we will do for this case is to define the following variable:
x = real number.
We then have the following sentence:
"Five more than the product of a number and 9 is equal to 6"
The equation sought is:
9x + 5 = 6
Answer:
An equation for the sentence is:
9x + 5 = 6

6 0

3 years ago

A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?

Hatshy [7]

<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The volume of triangular prism is given as:</u></em>

$v = base\ area \times height$

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

<em><u>Substituting the values we get,</u></em>

$428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2$

Thus the base area of triangular prism container is 42.8 cubic centimeter

3 0

3 years ago

H(t) = -10+ - 6<br>h()= -44

lesya [120]

Answer:

-44

Step-by-step explanation:

4 0

3 years ago

What is the volume of the prism below?

Tju [1.3M]

B. 75

First you find the area of the triangle:

(base x height)/2
(3 x 5)/2
15/2
7.5

Then you multiply by the length of the prism (10):

7.5 x 10 = 75

7 0

3 years ago

N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m

Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

$m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350$

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

$y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500$

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

$0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10$

Therefore, the time needed is 10 months.

3 0

2 years ago