Equations with absolute value:

Where k is a positive number; if k is a negative number, the equation is impossible (absolute value is always positive).
How to solve:


Then:
1. |x+7|=12
x+7=12 V -x-7=12
x=5 V -x=19
x=5 V x=-19
{-19, 5}
2. |2x+4|=8
2x+4=8 V -2x-4=8
2x=4 V -2x=12
x=2 V x=-6
3. 3|3k|=27
3×3k=27 V 3×(-3k)=27
9k=27 V -9k=27
k=3 V k=-3
{-3, 3}
4. 5|b+8|=30
5×(b+8)=30 V 5×(-b-8)=30
5b+40=30 V -5b-40=30
5b=-10 V -5b=70
b=-2 V b=-14
{-14, -2}
5. |m+9|=5
m+9=5 V -m-9=5
m+9=5 V m+9=-5
Based on her on training regiment, Amanda will be able to run 26 miles in the 25th week.
<h3 /><h3>What is the total number of miles Amanda will run every week?</h3>
Amanda will run 2 miles in the first week and then 1 less mile in the following week. Then 3 more miles in the week after.
Week 1 - 2 miles
Week 2:
= 2 - 1
= 1 mile
Week 3:
= 1 + 3
= 4 miles
Week 4:
= 4 - 1
= 3 miles
Week 5:
= 3 + 3
= 6 miles
From the given pattern, Amanda increase the number of miles ran by 2 miles every 2 weeks.
The number of miles ran every other week would therefore be:
Week 7 = 8 miles
Week 9 = 10 miles
Week 11 = 12 miles
Week 15 = 16 miles
Week 19 = 20 miles
Week 25 = 26 miles
In conclusion, she would reach her goal in 25 weeks.
Find out more on solving schedule problems at brainly.com/question/20020676.
Answer:
A) 21/7, or 3
B) 36/5, or 7 1/5
C) 35/25, or 1 15/25, or 1 3/5
D) 54/12, or 4 6/12, or 4 1/2
Step-by-step explanation:
8/7 plus 13/7. You add the numerators (the numbers on top) together. That makes 21. The denominator (the numbers on bottom) stays the same. So it would be 21/7. 7 fits into 21, 3 times.
8/7 más 13/7. Agrega los numeradores (los números en la parte superior) juntos. Eso hace 21. El denominador (los números en la parte inferior) permanece igual. Entonces sería 21/7. 7 encaja en 21, 3 veces.
8/7 plus 13/7. Vous ajoutez les numérateurs (les chiffres du haut) ensemble. Cela fait 21. Le dénominateur (les chiffres du bas) reste le même. Donc, ce serait 21/7. 7 correspond à 21, 3 fois.
8/7 plus 13/7. Quarum numeratores addere (supra de numero) una. 21. Quod facit denominator est (per numeros in fundo) manebit. Ita esset 21/7. Vicium, in VII XXI, III tempora.
Answer:
SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO
Step-by-step explanation:
- The brackets just mean to multiply
- e.g. 3(2)(5) is the same as 3 × 2 × 5
- When you get the answer, find in in the boxes below and write the letter of that equation
- I will not go through each question separately because it would take too long, but will give you the words
I think it’s 6. I feel like 6 would be the the correct answer