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aivan3 [116]
2 years ago
10

If p=3(2q+r), express q in terms of p and r.​

Mathematics
1 answer:
Kruka [31]2 years ago
6 0

Answer:

q=\frac{1}{6}p- \frac{1}{2}r

Step-by-step explanation:

p=3(2q+r)

2q+r=\frac{p}{3}

2q=\frac{p}{3} -r

q=\frac{p}{6}- \frac{r}{2}

You might be interested in
Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offe
disa [49]

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

7 0
3 years ago
How do i do this?! Please Help me
Dafna1 [17]

Answer:

The answer to your question is 50 inches

Step-by-step explanation:

Data

Area = 200 in²

diagonal 1 = 8 in

diagonal 2 = ?

Formula

Area = (diagonal 1 x diagonal 2) / 2

Solve for diagonal 2

diagonal 2 = 2 x Area 2 / diagonal 1

-Substitution

diagonal 2 = 2 x 200 / 8

-Simplification

diagonal 2 = 400 / 8

-Result

diagonal 2 = 50 in

5 0
3 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o
Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

Therefore in our case

μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0
3 years ago
2. A square tent has a side with a length of<br> 4x2yzd feet. What is its area?
Nesterboy [21]

Answer:

6

Step-by-step explanation:

5 0
2 years ago
If you can answer this you get 20 points
KonstantinChe [14]

Answer:

Rate of change for the second one (at the top) is 10

x- intercept is (-10,0)

y- intercept is  (0,20)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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