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kaheart [24]
3 years ago
12

4.5 h x 3 1/5 miles per hour =

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Answer:

2 281.24512 kilometers

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In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points fo
Aleksandr-060686 [28]

Answer:  Second option.

Step-by-step explanation:

Let be "e" the number of easy puzzles Tina solved and "h"  the number of hard puzzles Tina solved.

Set up a system of equations:

\left \{ {{e+h=50} \atop {30e+60h=1,950 }} \right.

You can use the Eliminationn Method to solve this system of equations:

  • Multiply the first equation by -30.
  • Add the equations.
  • Solve for "h".

Therefore, through this proccedure, you get:

\left \{ {-30e-30h=-1,500} \atop {30e+60h=1,950 }} \right.\\.........................\\30h=450\\\\h=\frac{450}{30} \\\\h=15

6 0
3 years ago
(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.​
frutty [35]

Answer:

An equation relating x and y is:

y = 3/4x - 5.5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

(2, -4), (x, y), A(6, -1), and B(10, 2)

Taking any two points let say A(6, -1), and B(10, 2) to determine the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)

m=\frac{2-\left(-1\right)}{10-6}

Refine

m=\frac{3}{4}

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -5.5

Thus, the y-intercept b = -5.5

Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation

y = mx+b

y = 3/4x + (-5.5)

y = 3/4x - 5.5

Therefore, an equation relating x and y is:

y = 3/4x - 5.5

8 0
3 years ago
the length of a rectangle is 6.7 cm more than 2 times the width. If the perimeter of the rectangle is 57.2 cm, what are its dime
ss7ja [257]
57.2-6.7-6.7=43.8
43.8÷6=7.3
7.3×2+6.7=21.3
length = 21.3cm
width = 7.3cm
(21.3×2)+(7.3×2) = 57.2
hope that helps
6 0
3 years ago
Bernard typically runs x km/hour. While he was sick, he only ran 41.5 km/hour. What equation represents that the difference in h
Katyanochek1 [597]

Answer: A) x-41.5=13.5

Step-by-step explanation: edge

8 0
2 years ago
Read 2 more answers
What would be the remainder ?
ruslelena [56]

Answer:

A

Step-by-step explanation:

Given (x + h) is a factor of f(x) then f(- h) = 0

Given

p(x) = x³ - 4x² + ax + 20 , with (x + 1) as a factor then

p(- 1) = (- 1)³ - 4(- 1)² - a + 20 = 0 , that is

- 1 - 4 - a + 20 = 0

15 - a = 0 ( subtract 15 from both sides )

- a = - 15 ( multiply both sides by - 1 )

a = 15 , thus

p(x) = x³ - 4x² + 15x + 20

If p(x) is divided by (x + h) then p(- h) is the remainder, so

p(- 2) = (- 2)³ - 4(- 2)² + 15(- 2) + 20 , that is

- 8 - 16 - 30 + 20 = - 34 → A

3 0
3 years ago
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