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3 years ago

The dinosaur's tail bones are at the solution point to the system of equations below.

Mathematics

1 answer:

beks73 [17]3 years ago

6 0

Answer:

x = 41

y = 24

Step-by-step explanation:

Systems of equations is,

-2x - 7y = -250 ------(1)

4x - y = 140 ------(2)

Equation (1) multiplied by 2 then added to equation (2)

-4x -14y = -500

(+) 4x - y = 140

-15y = -360

y =

y = 24

by putting y = 24 in equation (2),

4x - 24 = 140

4x = 140 + 24

x =

x = 41

For x = 41 and y = 24 both the equations are true.

Equation (1), -2(41) - 7(24) = -250 [True]

Equation (2), 4(41) - (24) = 140 [True]

Step-by-step explanation:

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The perimeter of an equilateral triangle is 11 inches more than the perimeter of a square, and the side of the triangle is 6 inc

uysha [10]

Answer:

13 inches

Step-by-step explanation:

Let P(t) and P(s) be the perimeters of the equilateral triangle and square respectively. Similarly, t and s be the side lengths of equilateral triangle and square respectively.

According to the first condition :

(Perimeter of an equilateral triangle is 11 inches more than the perimeter of a square)

$\implies P(t) = P(s) + 11$

$\implies 3t = 4s + 11....(1)$

According to the second condition :

(The side of the triangle is 6 inches longer than the side of the square)

$\implies t = s + 6....(2)$

From equations (1) & (2)

3(s + 6) = 4s + 11

3s + 18 = 4s + 11

3s - 4s = 11 - 18

-s = - 7

s = 7 inches

$\because t = s + 6$

$\because t = 7 + 6$

$\because t = 13\: inches$

Thus the side of the triangle is 13 inches long.

7 0

3 years ago

. Write the expression in exponential form, and then evaluate 0.75x 0.75x 0.75 =

Dimas [21]

Answer:

.75

the solved version would be .421875

the numbers on top are translated in English to .75 to the power of 3.

Step-by-step explanation:

I'm pretty sure this is correct

4 0

3 years ago

Find the value of the monomial. 5x^3 for x=0.5

Nataly [62]

Answer:

The correct answer is 166.375 or 166.4 when rounded to the nearest tenth.

Step-by-step explanation:

If x = 0.5, then 5x^3 = 5.5^3.

5.5^3 is the same as multiplying 5.5 by itself 3 times.

5.5 x 5.5 x 5.5 = 166.375 or 166.4 when rounded to the nearest tenth.

Hope this helps! :D

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Ivahew [28]

Answer:

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QveST [7]

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3 years ago