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3 years ago

Vanessa has $12 to spend on taxi fare. Each trip costs $3 plus $0.50 per mile and she plans to

Mathematics

1 answer:

Solnce55 [7]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

12 miles is 6 dollars plus 3 your sum is 9 dollars. 15 percent of 9 is 1.35. 9 plus 1.35 is 10.35 which is less than 12

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Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

Given:

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

Solve for $x$ in the 1st equation:

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

Substitute the value of $x$ into the 2nd equation and solve for $z$ :

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

Substitute the value of $z$ into the 3rd equation and solve for $y$ :

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

Plug $y=3$ into the solved expression for $z$ and evaluate to solve for $z$ :

$z=16-7(3)$

$z=16-21$

$z=-5$

Plug $z=-5$ into the solved expression for $x$ and evaluate to solve for $x$ :

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

The product of two whole numbers is 608 and their sum is 51 .what are the two numbers ?

amid [387]

Answer:

The product of 19 and 32 is 608 and their sum adds up to 51.

The two numbers are: 19 and 32

3 0

2 years ago

Solve the equation for x. the square root of the quantity x minus 8 end quantity plus 2 equals 7 x = 1 x = 13 x = 17 x = 33

Masteriza [31]

The solution of the equation (√x-8) + 2 = 7 is x = 13.

According to the given question.

We have an equation

$\sqrt{x - 8} + 2 = 7x$

Since, we solve the above equation for x .

Therefore,

$\sqrt{x - 8} + 2 = 7$

⇒ (√x - 8) = 7 - 2

⇒ (√x - 8) = 5

Squarring both the sides.

⇒ x - 8 = 5

⇒ x = 5 + 8

⇒ x = 13

Hence, the solution of the equation (√x-8) + 2 = 7 is x = 13.

Find out more information about equation here:

brainly.com/question/15707224

#SPJ4

6 0

1 year ago

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). At which points could the vertex of the right angle in t

Pie

Answer:

(–1, 1) and (4, –2)

Step-by-step explanation:

we know that

The vertex of the right angle of the triangle could be situated at a point with the same x-coordinate of point A and the same y-coordinate of point B or at a point with the same x-coordinate of point B and the same y-coordinate of point A

we have

A(4, 1) and B(–1, –2)

a point with the same x-coordinate of point A and the same y-coordinate of point B is the point (4,-2)

a point with the same x-coordinate of point B and the same y-coordinate of point A is (-1,1)

therefore

(–1, 1) and (4, –2)

3 0

3 years ago

Read 2 more answers

What is x-2y=-1 and 2x+y=4 using elimination step by step

otez555 [7]

Answer:

x = 7/5 , y = 6/5

Step-by-step explanation using elimination:

Solve the following system:

{x - 2 y = -1 | (equation 1)

2 x + y = 4 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 4 | (equation 1)

x - 2 y = -1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y = 4 | (equation 1)

0 x - (5 y)/2 = -3 | (equation 2)

Multiply equation 2 by -2:

{2 x + y = 4 | (equation 1)

0 x+5 y = 6 | (equation 2)

Divide equation 2 by 5:

{2 x + y = 4 | (equation 1)

0 x+y = 6/5 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 14/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 7/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Collect results:

Answer: {x = 7/5 , y = 6/5

5 0

3 years ago