at Alan's sports shop, GO FAST trainers cost £40.95 originally and there is a third off in the sale. At Irene's sport shop, GO FAST trainers cost £40.00 originally and there is a discount of 30% in the sale. Which trainers cost less in the sales?

Answers

Answer 1

Answer: the trainers will be cheaper at Alan's sport shop.

prices ->
Alan's: 27.30
Irene's: 28.00

$(1)/(3)$ of 40.95 can be calculated as follows ->

$(1)/(3)$ = $(x)/(40.95)$
simplify to get that x = 27.30

30% of 40.00 can be calculated as follows ->

$(30)/(100)$ = $(x)/(40.00)$
simplify to get that x = 28

Answer 2

Answer: $at\ Alan's\ sports\ shop:\n\£40.95- (1)/(3) \cdot\£40.95= (2)/(3) \cdot\£40.95=\£27.30\n \nAt\ Irene's\ sport\ shop:\n\£40.00-30\%\cdot \£40.00=70\%\cdot \£40.00=0.70\cdot \£40.00=\£28.00\n \nAns.\ Less\ cost\ is\ at\ Alan's\ sports\ shop.$

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Ann's car can travel 228 miles on 6 gallons of gas. a. Write an equation to represent the distance, y, in miles Ann's car can travel on x gallons of gas.

b. Ann's car used 7 gallons of gas during a trip. How far did Ann drive?

Answers

Answer:

a. $y=38x$ .

b. 266 miles.

Step-by-step explanation:

Let y represent distance in miles and x represent gallons of gas.

a. First of all, we will find mileage of Ann's car by dividing total distance traveled by total fuel consumed.

$\text{Mileage of Ann's car}=\frac{\text{228 miles}}{\text{6 gallons}}$

$\text{Mileage of Ann's car}=\frac{\text{38 miles}}{\text{ gallon}}$

Since Ann's can travels 38 miles per gallon, so distance covered by using x gallons on gas would be $38x$ .

Therefore, our required equation would be $y=38x$ .

b. To find distance covered by Ann's car using 7 gallons, we will substitute $x=7$ in the equation:

$y=38(7)$

$y=266$

Therefore, Ann's car will travel 266 miles in 7 gallons of gas.

Answer:

a. Since Ann's can travel 38 miles per gallon, so distance covered by using x gallons on gas would be 38x. Y=38x

b. Ann's car will travel 266 miles in 7 gallons of gas.

What is the solution to the following system? 4x+3y-z=-6 6x-y+3z=12 8x+2y+4z=6A. x = 1, y = –3, z = –1
B. x = 1, y = –3, z = 1
C. x = 1, y = 3, z = 19
D. x = 1, y = 3, z = –2

Answers

Answer:

Option B is correct.

Step-by-step explanation:

4x+3y-z= -6 eq(1)

6x-y+3z= 12 eq(2)

8x+2y+4z=6 eq(3)

We need to solve these equations and find the value of x, y and z.

Multiply equation 2 with 3 and then add equation 1 and 2

18x -3y +9z = 36

4x +3y -z = -6

_____________

22x + 8z = 30 eq(3)

Multiply equation 2 with 2 and add with equation 3

12x -2y + 6z = 24

8x +2y +4z = 6

____________

20x + 10 z = 30 eq(4)

Multiply equation 3 with 10 and equation 4 with 8 and then subtract

220x + 80z = 300

160x + 80z = 240

- - -

_________________

60x = 60

x= 60/60

x= 1

Putting value of x in equation 3

22x + 8z = 30

22(1) + 8z = 30

8z = 30 - 22

8z = 8

z = 8/8

z=1

Putting value of x and z in equation 1

4(1)+3y-(1)=-6

4 + 3y -1 = -6

3 + 3y = -6

3y = -6 -3

3y = -9

y = -3

so, Option B x=1, y=3 and z=1 is correct

Answer:

Step-by-step explanation:

If the general rule of the pattern is 33-3n find 8th term (N=8)

Answers

Answer: 9

Step-by-step explanation:

Given general rule= 33-3n of the pattern, where n is any natural number.

To find 8th term of the pattern, we substitute n=8 in the given general rule, we get

33-3(8) [Substitute n=8 in general rule ]

=33-3×8 [open parenthesis]

=33-24 [3×8=24]

Therefore, we have 8th term = 9 of the pattern given by general rule= 33-3n.

it is 33- 24 which is 9 ...

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Answers

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Answers

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1. 83/100
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Answers

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S=2pi(5)^2+2pi(5)(5)
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