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Scorpion4ik [409]
3 years ago
5

Daca a + b = 20 si b + c = 30 ,calculati 3 . a + 7 . b + 4 . c ( Dau coroana la cine ma ajuta )

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

It is given that

a+b=20  -------------------- (1)

b+c=30 -----------------------(2)

We have to calculate

3 a + 4 b +7 c

Now multiplying equation(1 )by 3,we get

3 a+ 3 b=60  ----------------------------------(3)

and Multiplying equation( 2) by 4,we get

4 b + 4 c=120  -----------------------------------(4)

Adding expression (3) and (4),we get i.e left hand side of 3 to left hand side of 4 and right hand side of 3 to right hand side of 4.

3 a+ 3 b+ 4 b+ 4 c=60+120

Adding like terms, we get

3 a+ 7 b+ 4 c =180, Which is the required solution.



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The answer to 3/4x-1/6 is -0.126

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The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.​
mars1129 [50]

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

  • Perimeter = 30 cm
  • Length = x cm

Using the perimeter formula to find the width w.

P=2(l+w)

P = 2l + 2w

2w = P-2l

Dividing both sides by 2

w\:=\:\frac{P}{2}-2

as P = 30 cm

w\:=\:\frac{30}{2}-2

w\:=\:15-2

w = 13 cm

Using the formula of the rectangle area

A = wl

substitute w = 13 and l = x in the formula

A=13\times \:x

A = 13x

Therefore, the area of the rectangle in terms of 'x' = 13x

7 0
3 years ago
Using a sample of 60 undergraduates, Dr. Hotchkins discovers a negative correlation between stress and emotional well-being. Whi
svet-max [94.6K]

Answer and explanation:

A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa

An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)

6 0
3 years ago
Is 16:14 in 64:60 eqiluvant
Elanso [62]

16: 14 - divide by 2

16/2= 8 , 14/2=7

64:60- divide by 4

64/4= 16 , 60/4= 15

Answer: 16:14 and 64:60 are not equivalent.

4 0
3 years ago
B. if lucinda has only $18 to spend and the price of kewpie dolls and the price of beanie babies are both $6, how many of each w
adoni [48]
Given the table below comparing the marginal benefit Lucinda gets from Kewpie dolls and Beanie Babies.

\begin{tabular}
{|p {2cm}|p {2cm}|p {2cm}|p {2cm}|}
\multicolumn {4} {|c|} {Lucinda's Kewpie Doll and Beanie Baby Marginal Benefits}\\[1ex]
\multicolumn {2} {|c|} {Kewpie Dolls}&\multicolumn {2} {|c|} {Beanie Babies}\\[1ex]
1&\$15.00&1&\$12.00\\
2&\$12.00&2&\$10.00\\
3&\$9.00&3&\$8.00\\
4&\$6.00&4&\$6.00\\
5&\$3.00&5&\$4.00\\
6&\$0.00&6&\$2.00\\
\end{tabular}

<span>If lucinda has only $18 to spend and the price of kewpie dolls and the price of beanie babies are both $6,

Lucinda will buy the combination for which marginal benefit is the same.

Therefore, Lucinda will buy </span><span>2 kewpie dolls and 1 beanie baby,</span><span> if she were rational.</span>

5 0
3 years ago
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