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dsp73
4 years ago
6

In the system of linear equations below, a and b are constants. the solution to the system is (5,1)

Mathematics
1 answer:
Dmitry [639]4 years ago
7 0

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the linear equations..

Here given value of x= 5 and y =1 , so we get as,

5a + b = 38 and 5b - a = 8

so, now we multiply equation no. 2 by 5 all over.

==> 25b - 5a = 40....(1)

hence adding new equation and equation no. 1

26b = 78

b = 78/26

hence b = 3 , and a = 7

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Elena-2011 [213]

Answer:

-25/8 I think

Step-by-step explanation:

3 0
3 years ago
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find t
larisa [96]

Answer:

x ≥ 54

Step-by-step explanation:

x+x-4 ≥ 104

2x ≥ 104 + 4

2x ≥ 108

x ≥ 54

6 0
3 years ago
Abi and Ali shared £35 in the ratio 1 : 6.<br> Work out how much Ali received.
baherus [9]

Answer:

£30

Step-by-step explanation:

To tackle these 'sharing' ratios problems, first find the total amount parts in the ratio.

1 : 6 = 1 + 6 = 7 parts

Now divide the total amount of parts by the total amount of money shared

35 / 7 = 5

Now multiply the answer by the value that is appropriate.

In this case, they want you to work out how much Ali recieved.

Ali's value is 6

6 × 5 = £30

hope this helps :)

4 0
3 years ago
Read 2 more answers
The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research department predicts that the demand
andreyandreev [35.5K]
In this question, <span>q is the number of buggies the company can sell in a month if the price is $p per buggy. The revenue should be number of buggies sold(q) multiplied by the price(p). The equation would be:

revenue= p * q
revenue= p * (-4p + 616)= -4p^2 + 616p

The maximum revenue should be in the peak of the graph. The calculation would be:
</span>-4p^2 + 616p
-4*2 p^2-1 + 616*1 p^1-1=0
<span>-8p + 616=0
8p= 616
p=77

Put p=77 in the revenue equation would result
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7 0
4 years ago
Can somebody please help me with this question?
Aliun [14]

Answer:

120, 114, 126

Step-by-step explanation:

Since these are all exterior angles, they will all always add up to 360°. Since we know this, you can set up an equation and it would be x+(x+6)+114=360. When added you get 2x+120=360. Now subtract 120 on each side to get 2x equals 240. Then you divide by 2 and get that x is 120. Now all you have to do is plug x into the equations for the angles so they would be 120, 114, and 120+6 so 126. Now you have 120,114,and 126 as your angles. To check, just add all the angle measurements up and it should equal 360.

4 0
4 years ago
Read 2 more answers
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