43. 9 + 10 + 13 + 13 = $45
45 - 1 = 44
44 x 4 = 176
176 + 8 = 184
184/4 = 46
46 tokens per person
44. a. 22 x 5 = 110
943/110 = 8.7
you will need 9 bookcases
b. 110 x 9 = 990
990 - 943 = 47
47 - 44 = 3
There will be 3 books on the third shelf.
Answer:
See below.
Step-by-step explanation:
Recall the equation for a circle:
, where (h,k) is the center and r is the radius.
We need to turn the given equation into the above format. We do this by completing the square.
First, group them:
For the first section, complete the square for 
:
Do the same for the second:
All together:
The center is (-9,-7).
The radius is 
Debido a restricciones de extensión y la características del ejercicio, recomendamos leer la explicación de esta pregunta para mayores detalles sobre la adición de números <em>enteros</em>.
<h3>¿Cuáles son los resultados de cada suma?</h3>
En este ejercicio tenemos un grupo de sumas con números <em>enteros</em> <em>positivos</em> y <em>negativos</em>, en las cuales se prueba la capacidad del estudiante para realizar varias operaciones en serie (adición, sustracción) y comprender las diferencias entre números <em>positivos</em>, <em>negativos</em> y <em>neutros</em>. Ahora procedemos a determinar el resultado de cada una de las expresiones:
20 + 50 + 30 + 7 = 107
30 + 5 + 2 = 37
- 200 - 50 - 70 - 8 = - 328
- 500 + 100 - 20 + 50 = - 370
10 - 5 = 5
20 + 50 - 25 - 10 = 35
- 100 + 20 = - 80
- 30 + 5 + 4 - 20 + 8 = - 33
- 258 + 8 = - 250
- 10 + 20 + 520 - 100 + 8 = 438
- 20 - 5 - 42 + 3 = - 64
1000 - 200 + 50 + 30 - 45 + 75 - 87 + 90 + 50 - 100 + 50 - 10 = 903
- 400 + 500 - 200 - 50 + 48 + 8 - 47 - 50 = - 191
300 + 20 - 50 + 30 - 84 + 35 - 7 + 20 - 40 + 10 - 45 + 65 + 8 - 55 = 207
800 + 50 - 69 + 8 - 35 + 85 - 54 + 40 + 85 + 74 - 32 - 8 + 65 - 27 = 982
Para aprender más sobre sumas: brainly.com/question/1456841
#SPJ1
Answer:
x > -4.
Step-by-step explanation:
Solving for x by dividing -3 to both side leaving x by itself.
When dividing or multiplying a negative value that has a variable the inequality switches sides. Instead of x < -4 it is x > -4. For more information or to understand inequality search for inequality video online.
Answer:
Step-by-step explanation:
1. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
2. The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
3. Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...
