Ask question

Ask question

All categories

4 years ago

10

Carol bikes 1 km East, 4 km north, and then 5 km east again. How far is Carol from her starting position, to the nearest 10th of

a kilometer?

1 answer:

Stels [109]4 years ago

7 0

20, because 5 there and five back then 1 and 1 back and four and four back if not then just add all 5+4+1=10

You might be interested in

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

$\mathrm{Subsititute\:}z=8\text{ in (vi)}$

$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

$\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}$

$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0

3 years ago

4+b = -30<br> What is the value of X?<br><br> X= -34<br> X= 7.5 <br> X=120<br> X= -26

Firdavs [7]

Answer:

X= -34

Step-by-step explanation:

6 0

3 years ago

Please help me with this homework

snow_lady [41]

Answer:

10.44 m

Step-by-step explanation:

Solve this as a triange. The base is 3m and the perpendicular is 10m. The angle between the base and wall is 90° so it will be a right angled triangle.

Solve this by Pythagoras theorm:

let length of ladder is c

base is b

And perpendicular is a

Acc to Pythagoras theorem:

C² = a² + b²

C² = 10² + 3²

C² = 100 + 9

C² = 109

√C² = √109

C = 10.44m

8 0

3 years ago

-2x^2 + 4x + 16 in vertex form

Reil [10]

Answer:

y = - 2(x - 1)² + 18

Step-by-step explanation:

- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms

= - 2(x² - 2x) + 16

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 2x

= - 2(x² + 2(- 1)x + 1 - 1) + 16

= - 2(x - 1)² + 2 + 16

= - 2(x - 1)² + 18 ← in vertex form

6 0

2 years ago

A jazz band wants to sell $24,000 worth of tickets. If each ticket costs $80, how many tickets will the band have to sell to mee

Dafna11 [192]

Answer:

300

Step-by-step explanation:

24000/80

7 0

4 years ago

Read 2 more answers