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zhuklara [117]
2 years ago
14

Evaluate 7p+6(p/q)2 q if p = 6 and q = 3. show your work and give an explanation for each step .

Mathematics
1 answer:
Degger [83]2 years ago
6 0

Answer:

63 is the required value.

Step-by-step explanation:

We need to find the value if p = 6 and q = 3 in the below expression i.e.

7p+6(\dfrac{p}{q})^2-q

Put p = 6 and q = 3 in the above expression.

=7(6)+6(\dfrac{6}{3})^2-3\\\\=42+6(2)^2-3\\\\=42+24-3\\\\=63

So, the value of the given expression is 63.

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A sum of money is divided among Khairul, Michael and Ethan in the ratio
Leto [7]

Answer:

$360

Step-by-step explanation:

The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.

This would be 6x : 4x : 5x

Khairul gives $30 to Michael and $15.

The ratio is. Now;

(6x - 45) : (4x + 30) : (5x + 15)

We are told this is equal to the ratio 7:6:7

Thus;

((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7

(10x - 15)/(5x + 15) = 13/7

Factorize the left hand side;

5(2x - 3)/5(x + 3) = 13/7

5 will cancel out to get;

(2x - 3)/(x + 3) = 13/7

Cross multiply to get;

7(2x - 3) = 13(x + 3)

14x - 21 = 13x + 39

14x - 13x = 39 + 21

x = 60

Amount Khairul had initially was denoted as 6x.

Thus,6x = 5 × 60 = $360

3 0
2 years ago
If (-6,-38) and (5,28) are two anchor points on the trend line, then find the equation of the line
Delicious77 [7]

Answer:

The equation of the line is y = 6x - 2 .

Step-by-step explanation:

Formula for the equation of line is.

(y - y_{1}) = m (x - x_{1})

Where m is the slope.

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

As given

If (-6,-38) and (5,28) are two anchor points on the trend line.

Than

m = \frac{28 - (-38)}{5 - (-6)}

m = \frac{28 + 38}{5 + 6}

m = \frac{66}{11}

m = 6

Put the value in the equation of a line.

(y - (-38)) = 6 (x - (-6))

(y + 38) = 6 (x + 6)

(y + 38) = 6x + 6\times 6

(y + 38) = 6x + 36

y = 6x +36 - 38

y = 6x - 2

Therefore the equation of the line is y = 6x - 2 .

7 0
3 years ago
What is -12.5-8.3<br><img src="https://tex.z-dn.net/?f=12.5%20-8.3" id="TexFormula1" title="12.5 -8.3" alt="12.5 -8.3" align="ab
Mama L [17]

If it’s a negative equation is should be -20.8 otherwise it’s 4.2

5 0
3 years ago
Read 2 more answers
Ashley found 78 rocks on Monday. on Tuesdays Devin found 45 rocks how many did the find both days
scoundrel [369]
Lets look at the info we have:-

Ashley found 78 rocks on Monday.
Devin found 45 rocks on Tuesday. 

Question:-

How many did they find both days?

The key word for this is "both". So we need to add here. Lets add:-

78 + 45 = 123

So, Ashley and Devin together found 123 rocks.

Hope I helped ya!! xD
3 0
3 years ago
A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level
grandymaker [24]

Answer:

a. True

Step-by-step explanation:

By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.

In the given question the null hypothesis is

H0: u ≤ 1 hour and Ha:  u > 1 hour

So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

The given statement is true.

5 0
3 years ago
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