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Alex Ar [27]
4 years ago
13

(Score for Question 1: ___ of 5 points)

Mathematics
1 answer:
Norma-Jean [14]4 years ago
7 0

Answer:

The separated values of x and y from the given equation is x=\frac{13-3y}{4}, y=1-\frac{4}{13}x

Step-by-step explanation:

Given equation is 4 x+3y=13

Now to find the separated values of x and y with the given equation.

Now find the value of x and so we have to separate the value x from the given equation

4x+3y=13

4x=13=3y

x=\frac{13-3y}{4}

Therfore x=\frac{13-3y}{4}

Now find the value of y and so we have to separate the value y from the given equation

4x+13y=13

13y=13-4x

y=\frac{13-4x}{13}

y=\frac{13}{13}-\frac{4x}{13}

y=1-\frac{4}{13}

Therefore y=1\frac{4}{13}x

The separated values of x and y from the given equation is

x=\frac{13-3y}{4}, y=1-\frac{4}{13}x

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Can someone please help me? Thanks
Daniel [21]

Answer:

693 sq. m.

Step-by-step explanation:

The figure consists of a triangular prism (Bottom Part) and a Triangular Pyramid (Top Part). We will find the volume of each and add it up to get volume of total figure.

1. Volume of Triangular Prism = Area of Triangular Base * Height

Area of Triangular Base = (1/2)*base*height

Given that the triangle is a right triangle, we find the unknown side by using Pythagorean Theorem, which tells us:

Leg^2 + Another Leg^2 = Hypotenuse^2

8.8^2 + Another Leg^2 = 13.7^2

77.44+ Another Leg^2 = 187.69

Another Leg (unknown side, or the base of the triangle) = Sqrt(187.69-77.44) = 10.5 (this is base of triangle)

So, we have:

Area of Triangular Base = \frac{1}{2}*10.5*8.8=46.2

Thus,

Volume of Triangular Prism = 46.2 * 10(given) = 462 sq.m.

2. Volume of Triangular Pyramid = (1/3) * area of triangular base * height

Here, area of triangular pyramid is 46.2 (already found)

the height of the pyramid is 25 - 10 = 15

SO, we have:

Volume of Triangular Pyramid = \frac{1}{3}*46.2*15=231 sq. m.

Now we sum them up and get total volume of the figure:

Total Volume of Figure = 462+ 231 = 693 sq. m.

6 0
3 years ago
Nick and Adam work out together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is lo
Inessa [10]

Answer:

160+3x=195-2x

Needed 7 weeks

Step-by-step explanation:

Let x be the number of weeks.

<u>Nick</u>

  • weighs 160 pounds;
  • is gaining about 3 pounds per week;
  • gains 3x pounds in x weeks;
  • weighs 160 + 3x pounds after x weeks.

<u>Adam</u>

  • weighs 195 pounds;
  • is losing about 2 pounds per week;
  • loses 2x pounds in x weeks;
  • weighs 195 - 2x pounds in x weeks.

The equation that can be used to find the number of weeks that it will take them to weigh the same amount is

160+3x=195-2x

Solve this equation:

3x+2x=195-160\\ \\2x=35\\ \\x=7

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3 years ago
Write an equation in slope-point form, of the line through point j(4,1). with slope -4.
Wittaler [7]
Y-1=-4(x-4) is the equation in point slope form. 

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3 years ago
Can someone help me it will for sure help alot someone who is confident on doing it WILL GIVE BRAINLIEST
KengaRu [80]

Answer:

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3 years ago
Sara bought a 16-ounce jar of strawberry jam for $ 3.20. what is the unit price?
allochka39001 [22]
The unit price would be $0.20 because when you divide $3.20 by 16, that is what you would get. The equation would be
$3.20/ 16 oz. = $0.20
8 0
4 years ago
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