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madam [21]
3 years ago
11

Combine the like terms of the expression (8 + 6x) + (-4 + 9c). Explain how you simplified the expression in each step. * pls hel

p
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer: 6x+9c+4

Step-by-step explanation:  (8 + 6x) + (-4 + 9c)

                                              8+6x-4+9c

                                              6x+9c+8-4

                                              6x+9c+4

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Factorise fully p^3 + p^2
nikklg [1K]

Answer:

\huge\boxed{p^3+p^2=p^2(p+1)}

Step-by-step explanation:

p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)

Used:

a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac

3 0
3 years ago
You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster? You jog faster. Your friend
Darya [45]

Answer:

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Step-by-step explanation:

Speed = Distance(km)/Time(hours)

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend's will finish a 5km race at a speed of 18.18 km/hr

Your speed is :

You jog 2 kilometers in 12 minutes.

Convert 12 minutes to hours

60 minutes = 1 hour

12 minutes = x

x = 12/60

x = 1/5 hour

Your speed is calculated as:

2km/1/5hour

= 2 km ÷ 1/5 hour

= 2 × 5

= 10 km/hr

Your friend's speed is calculated as:

Your friend jogs 3 kilometers in 16.5 minutes.

Convert 16.5 minutes to hours

60 minutes = 1 hour

16.5 minutes = x

x = 16.5/60

x = 0.275 hour

Your speed is calculated as:

3km/0.275 hour

= 10.909090909 km/hr

Approximately = 10.91km/hr

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend jogs faster, hence:

3 km = 10.91 km/hr

5km = x

x = 5 × 10.91/3

x = 18.183333333 km/hr

Your friend's will finish a 5km race at a speed of 18.18 km/hr

4 0
3 years ago
3.) 4(m + 5) + 42, (m = -2)​
SpyIntel [72]
The answer would be 54 since m=-2

Step one: 4(-2+5)+42
Step two: (-8+20)+42=54
4 0
3 years ago
Read 2 more answers
Encuentra el área total de la superficie del prisma cuadrangular??​
Alex787 [66]

Superficie total de un prisma

La fórmula general para el área de superficie total de un prisma recto es T. S. A. = ph + 2B donde p representa el perímetro de la base, h la altura del prisma y B el área de la base.

¡Espero que esto ayude!

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3 years ago
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abruzzese [7]
Adding on to the previous, estimate FRACTIONS of the chart, and then figure out the percentage of those fractions
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