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Bumek [7]
2 years ago
14

Factorise 4p + 6pq step by stepanswer fully please, thank you.​

Mathematics
2 answers:
Lady bird [3.3K]2 years ago
4 0

Answer:

2p(2+3q)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = 2p2p

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2p(4p/2p + 6qp/2p)

simplify each term in parentheses.

2p(2+3q)

​

polet [3.4K]2 years ago
3 0

Your answer is 2p(2 + 3q).

First we can start by finding common factors in the coefficients, 4 and 6. 4 and 6 are both divisible by 2, so we can pull this out as our first factor:

2(2p + 3pq)

Now we can look for common factors regarding p and q. Both terms include p, but only one includes q, which means we can also pull the p out as another factor:

2p(2 + 3q)

The expression inside the parentheses cannot be factored anymore, so this is the final factorisation.

I hope this helps!

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Michael earns $21 per hour and works 40 hours per week. How many overtime hours would he have to worky in a week for his time-an
Alex73 [517]

Answer:

27 hours

Step-by-step explanation:

The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840

To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr

X hours multiplied by rate of $31.5/hr should be at least equal to $840

31.5x>=840

X>=840/31.5>=26.6667 hours and when rounded off

X is 27 hours

6 0
2 years ago
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How ma
e-lub [12.9K]
48 grams= 96% needed

x grams. = 4%

Set up a proportion

48/96 = x/4

96/24=4
48/24=2
x=2= grams in the granola

Add the value of 96% and the value of 4% to get the value of 100%

2+48=50

Final answer: 50 grams
7 0
2 years ago
On her first day in a hospital, Kiri receives u1 milligrams (mg) of a therapeutic drug. The amount of the drug Kiri receives inc
Valentin [98]

Answer:

a. 21 = u1 + 6·d

b. 29 = u1 + 10·d

c. d = 2, u1 = 9

Step-by-step explanation:

a. The given parameters are;

The amount of therapeutic drug Kiri receives on her first at the hospital = u1 milligrams

The amount of drug increase received by Kiri each day = d

The amount of drug Kiri received on the seventh day = 21 mg

The amount of drug she received on the eleventh day = 29 mg

Therefore, we have an arithmetic progression with the formula for the nth term given as follows;

aₙ = a₁ + (n - 1)·d

Where;

a₁ = u1

n = The number of terms

Therefore, for the 7th day, the amount of drugs she receives, which is 21 milligrams, is given as follows;

a₇ = u1 + (7 - 1)·d = u1 + 6·d = 21

The equation for the amount of drugs she receives in terms of u1 and d on the seventh day is given as follows;

21 = u1 + 6·d

b. For the eleventh day, the amount of drugs she receives, which is 29 milligrams, is given as follows;

a₁₁ = u1 + (11 - 1)·d = u1 + 10·d = 29

Therefore, the equation for the amount of drugs she receives in terms of u1 and d on the  eleventh day is given as follows;

29 = u1 + 10·d

c. Therefore, we have two equations which are given as follows;

21 = u1 + 6·d................(1)

29 = u1 + 10·d..............(2)

Subtracting equation (1) from equation (2) gives;

29 - 21 = (u1 + 10·d) - (u1 + 6·d)

8 = 4·d

d = 8/4 = 2

d = 2

From equation (1), we have;

21 = u1 + 6·d = u1 + 6×2 = u1 + 12

21 = u1 + 12

21 - 12 = u1

∴ u1 = 9

d = 2, u1 = 9.

4 0
2 years ago
Nevaeh has 12 gallons of gas in her car at the beginning of a trip. Every hour Nevaeh
slega [8]

Answer:

there is no question below therefore, we can't answer it

8 0
2 years ago
The sales of a grocery store had an average of $7,000 per day. The store introduced several advertising campaigns in order to in
ipn [44]

Answer:

Null hypothesis: ∪ = $7,000

Step-by-step explanation:

The null hypothesis is a general statement that there is no relationship between two measured instances or no association among groups.

In this case, the sales of a grocery store had an average of $7,000 per day is the null hypothesis. Then the research was carried out to test for the effectiveness of the advertising campaigns in increasing sales.

Thus, this is the alternative hypothesis. The researchers wish to test against the null with regards to the involvement of the advertising campaigns.

Thus, the null hypothesis is just the average sales without the advertising campaigns which is

Null hypothesis: ∪ = $7,000

Alternative hypothesis: ∪ ≠ $7,000

5 0
2 years ago
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