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Rus_ich [418]
3 years ago
10

Find the solution of each equation using mental math or a table.  If the solution lies between two consecutive integers, identif

y these integers 2.2-2n=12.2
Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0
Subtract 2.2 from both sides leaving -2n on the left and 10 on the right. from there you want to get "n" by itself so you divide both sides by -2n and you get n=-5

2.2-2n=12.2
-2.2 -2.2

-2n = 10
/-2 /-2

n=-5
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Solve the rational equation 1/(x-2)-1/(x+3) = 1/5
sasho [114]

Answer:

x = 5.09, -6.09.

Step-by-step explanation:

1/(x-2) - 1/(x+3) = 1/5

Multiply through by the LCM 5(x-2)(x+3):

5(x + 3) - 5(x - 2) = (x - 2)(x + 3)

5x + 15 - 5x + 10 = x^2 + x - 6

x^2 + x - 31 = 0

x = [ -1 +/- sqrt(1 - 1*1*31)] / 2

x = 5.09, -6.09.

5 0
4 years ago
Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11.
Elena L [17]

Answer:

S = £1.28

Step-by-step explanation:

Let the small, medium and large cakes be S, M and L respectively.

Given the following data;

Total profits = £532.48

Total number of cake = 192 cakes

Ratio of S:M:L = 7:6:11

Sum of ratio = 7+6+11 = 24

To find number of each cakes, we would divide the total number of cakes by the sum of ratio;

Number of each cakes = 192/24

Number of each cakes = 8

Next, we determine the exact number of each type of cakes.

Small = 7*8 = 56 cakes.

Medium = 6*8 = 48 cakes.

Large = 11*8 = 88 cakes.

For the profits;

Translating the word problem into an algebraic expression, we have;

M = 2S

L = 3S

56S + 48*(2S) + 88*(3S) = £532.48

56S + 96S + 264S = 532.48

416S = 532.48

S = 532.48/416

S = £1.28

Therefore, the profit for one small cake is £1.28

3 0
3 years ago
Convert -1 1/4 into a decimal
makkiz [27]

-1 1/4 as a decimal would be -1.25.

Since -1 is a whole number we would just write that as -1. 1/4 as a decimal is .25.


6 0
4 years ago
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Answer:

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Answer:

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