Question

1)The temperature of city on Monday was 31°c. The temperature rose by 2°c on everyday upto Friday and fell by 7°c on Saturday. What was the temperature of the city on Saturday.
2)Find the value of x : (-17)×((-5)+x)=(-17)×(-5)-(-17)×4​

Answer 1

Answer:

32

Step-by-step explanation:

the temperature on monday=31

next 4 days =2×4 =8

then 31+8 =39

then subtract 7 from it for saturdays temperature=32

Answer 2

Answer:

1) Temperature of city on Saturday is 32° C.

2) Value of $x$ is -4.

Step-by-step explanation:

1)

Temperature of city on Monday = 31° C

According to the question,

Temperature rose by 2° C everyday till Friday, i.e.,

⇒ Temperature on Tuesday = 31° + 2°

                                               = 33° C

Similarly,

Temperature on Wednesday = 33° + 2°

                                                 = 35° C

Temperature on Thursday = 35° + 2°

                                            = 37° C

Temperature on Friday = 37° + 2°

                                       = 39° C

Now,

The temp. falls by 7° C on Saturday, i.e.,

Temperature on Saturday = 39° - 7°

                                           = 32° C

2)

Consider the expression as follows:

$(-17)$ × $((-5) +x)$ = $(-17)$ × $(-5) - (-17)$ × $4$

Taking (-17) common out from both the sides.

⇒ $(-17) [(-5 + x)]= (-17) [(-5) - 4]$

⇒ $-5 + x = -5 - 4$ (Cancelling $-17$ from both the sides)

⇒ $x$ = $-5 - 4 + 5$

⇒ $x$ = -4

Therefore, the value of $x$ is -4.

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