Question

solved and all points plotted, connect the points in alphabetical order to reveal a hidden picture.

1. it takes santa 5 minutes to fly 35 miles with the wind. it takes him 7 minutes to go 35 miles against the wind. determine the speed of santas sleigh in still air (x) and the speed of the wind (y).

ordered pair m:

1. eddie the elf made 13 toys one day in the workshop. some were dolls and the rest were action figures. the number of action figures he made was one more than twice the number of dolls he made. how many dolls (x) and action figures (y) did eddie make?

ordered pair e:

1. after a big snow storm, joe and jim decided to shovel driveways for money. jim shoveled 3 less than twice as many driveways as joe. they shoveled a total of 15 driveways. how many driveways did joe (x) and jim (y) each shovel?

ordered pair i:
(image of a broom)

1. your high school is having a competition where students have to guess how many candy canes are in a jar. the tens digit is 4 more than twice the ones digit. the sum of the digits is 4. how many candy canes are in the jar? find the tens digit (x) and the ones digit (y).

ordered pair o:

1. you and your friend go shopping for gift wrap one day. you buy 3 rolls of wrapping paper and 5 bows for a total of $32. your friend gets 1 roll of wrapping paper and 2 bows for $11. how much does each roll of wrapping paper (x) and each bow (y) cost?

ordered pair l:

1. hats and mittens are on sale at the store! one woman was able to buy 5 hats and 4 pairs of mittens for $30. another woman purchased 3 pairs of mittens and 2 hats for $19. find the price of one hat (x) and one pair of mittens (y).

ordered pair d:
(image of a hat and mittens)

1. veronica got 3 times as many gifts as natalie. together veronica and natalie got a total of 12 gifts. how many gifts did natalie (x) and veronica (y) each get?

ordered pair f:

Explanation:

Problem 1:

Step1: Definir variables y ecuaciones

Con el viento: velocidad = \( x + y \), tiempo = 5 min, distancia = 35 millas. Usando \( d = vt \), \( 5(x + y) = 35 \) → \( x + y = 7 \).
Contra el viento: velocidad = \( x - y \), tiempo = 7 min, distancia = 35 millas. \( 7(x - y) = 35 \) → \( x - y = 5 \).

Step2: Resolver el sistema de ecuaciones

Sumar \( x + y = 7 \) y \( x - y = 5 \):
\( 2x = 12 \) → \( x = 6 \).
Sustituir \( x = 6 \) en \( x + y = 7 \): \( 6 + y = 7 \) → \( y = 1 \).

Step1: Definir variables y ecuaciones

Total de juguetes: \( x + y = 13 \).
Acción figures: \( y = 2x + 1 \).

Step2: Resolver el sistema

Sustituir \( y = 2x + 1 \) en \( x + y = 13 \):
\( x + 2x + 1 = 13 \) → \( 3x = 12 \) → \( x = 4 \).
Entonces \( y = 2(4) + 1 = 9 \).

Step1: Definir variables y ecuaciones

Total de entradas: \( x + y = 15 \).
Jim: \( y = 2x - 3 \) (3 menos que el doble de Joe).

Step2: Resolver el sistema

Sustituir \( y = 2x - 3 \) en \( x + y = 15 \):
\( x + 2x - 3 = 15 \) → \( 3x = 18 \) → \( x = 6 \).
Entonces \( y = 2(6) - 3 = 9 \).

Answer:

Ordered Pair M: \((6, 1)\)

Problem 2: