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3 years ago

Solve the system of equations.

Mathematics

2 answers:

algol [13]3 years ago

5 0

8x + 5(-4x) = 24
8x - 20x = 24
-12x = 24
x = -2

y = -4(-2)
y = 8

Therefore, the point of intersection is (-2,8).

soldier1979 [14.2K]3 years ago

5 0

Answer:x= -2

Y=8

Step-by-step explanation:

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What is the value of x

Artemon [7]

Answer:

$45$ degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Thus, $x+3x=180$

$4x=180$

Divide both sides by 4:

$\frac{4x}{x} =\frac{180}{4}$

$x=45$

4 0

3 years ago

How many integers between 14 and 3,452 can be divided by 42 with a remainder of zero?

soldi70 [24.7K]

_______
42 I 3,452

82 with a remainder

There are 82 integers between 14 and 2452 that can be divided with a remainder of 0

4 0

3 years ago

Whats its the result Of 25099.506/4.45?

777dan777 [17]

$\dfrac{25099.506}{4.45} \ \text{Divide}$

Shift the decimal points of both 25099.506 and 4.45 to the right by 2 decimal places.

(This is needed to convert 4.45 to 445, since long division must divide by a whole number.)

$\text{Set up the long division.}
$

$\text{Calculate 2509 divided by 445, which is 5 with a remainder of 284.}$

 $\text{ Bring down 9, so that 2849 is large enough to be divided by 445.}$

$\text{Calculate 2849 divided by 445, which is 6 with a remainder of 179.} 
$

$\text{Bring down 5, so that 1795 is large enough to be divided by 445.}$

$\text{Calculate 1795 divided by 445, which is 4 with a remainder of 15.}$

$\text{Bring down 06, so that 1506 is large enough to be divided by 445.
}$

$\text{Calculate 1506 divided by 445, which is 3 with a remainder of 171.}$

$\text{Bring down 0, so that 1710 is large enough to be divided by 445.}$

$\text{Calculate 1710 divided by 445, which is 3 with a remainder of 375.}$

$\text{Bring down 0, so that 3750 is large enough to be divided by 445.}$

$\text{Calculate 3750 divided by 445, which is 8 with a remainder of 190.}$

$\text{Bring down 0, so that 1900 is large enough to be divided by 445.}$

$\text{Calculate 1900 divided by 445, which is 4 with a remainder of 120.}$

$\text{Bring down 0, so that 1200 is large enough to be divided by 445.}$

$\text{Calculate 1200 divided by 445, which is 2 with a remainder of 310.}$

Therefore, 25099.506 ÷ 4.45 ≈ 5640.33842

8 0

3 years ago

Gerry plans to place a 29 foot ladder against the side of his house to clean his gutters. The bottom of the ladder will be 3 fee

tensa zangetsu [6.8K]

Answer:

8 $\sqrt{13}$

Step-by-step explanation:

Using the pythagorean theorem (Assuming the house's walls are perpindicular to the ground):

a^2+b^2=c^2

we can find that 3=a and 29=c

3^2+b^2=29^2

9+b^2=841

b^2=832

b= $\sqrt{832}$

b= $\sqrt{64*13}$

b=8 $\sqrt{13}$

That is the height that the ladder will reach

5 0

3 years ago

Can someone help me with this? And no links or random answers please.

ivann1987 [24]

Answer:

B, 215483cm^3

Step-by-step explanation:

volume of a cylinder equals its base area by its height;

its base area = r^2 x 3.14 = 15^2 x 3.14 = 706.5

volume = 706.5 x 305 = 215482.5 cm^3

approximately 215483 cm^3

4 0

3 years ago