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soldier1979 [14.2K]

3 years ago

14

Aja can harvest a field in 13 hours. One day her friend Khia helped her and it only took 6.24 hours. How long would it take Khia

to do it alone?

1 answer:

Semenov [28]3 years ago

6 0

I think it is 7.36 hours

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A modified roulette wheel has 32 slots. One slot is 0, another is 00, and the others are numbered 1 through 30, respectively.

RUDIKE [14]

Answer:

(a) $\dfrac{15}{32}$

(b) 17:15

Step-by-step explanation:

(a)

The roulette wheel has 32 slots (inclusive of 0 and 00)

Number of Odd Numbers between 1 to 30 =15

Since you are placing a bet that the outcome is an odd number.

$P(\text{Winning})=\dfrac{\text{Number of Odd Numbers}}{\text{Total Number of Slots}} \\=\dfrac{15}{32}$

(b) The actual odds against winning

$\text{Actual Odds against Winning})=\dfrac{32-15}{15}\\=\dfrac{17}{15}$

Therefore, the actual odds against winning are 17:15

5 0

3 years ago

An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minu

bekas [8.4K]

The function f(t) that describes this scenario will be A = -42.57t + 1399.28

Let the amount of oil remaining after time t be A

Let the time taken be "t"

This required linear expression will be given as A= mt + b

Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)

m is the rate of change = 633-931/18-11

m = -298/7

m = -42.57

Get the intercept;

633 = -42.57(18) + b

633 = -766.29 + b

b = 1,399.28

Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28

Learn more on functions here; brainly.com/question/17431959

5 0

2 years ago

Which of these statements is correct?

tatuchka [14]

Answer:

The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution is correct.

Step-by-step explanation:

<em>1) The system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find y in terms of x from any one equation</em>

6x - 5y = 8

y = <u>8 - 6x</u>

-5

<em>Step 2 : Substitute y in terms of x from step 1 in the second equation.</em>

16x - 6y = 22

16x - 6 (<u>8 - 6x)</u> = 22

-5

80x - 48 + 36x = 22 x -5

94x = 43

x = 0.457

<em>This statement is incorrect as it does have a solution.</em>

<em>2) The system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find y in terms of x from any one equation</em>

7x + 2y = 6

y = <u>6 - 7x</u>

2

<em>Step 2 : Substitute y in terms of x from step 1 in the second equation.</em>

14x + 4y = 16

14x + 4(<u>6 - 7x)</u> = 16

2

14x + 12 - 14x = 16

0 ≠ 4

<em>This statement is not true as there are no solutions.</em>

<em>3) The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find x in terms of y from any one equation</em>

8x - 3y = 10

x = <u>10 + 3y</u>

8

<em>Step 2 : Substitute x in terms of y from step 1 in the second equation.</em>

16x - 6y = 22

16(<u>10 + 3y)</u> - 6y = 22

8

20 + 6y - 6y = 2

0 ≠ -18

<em>This statement is true because there are no solutions</em>

<em>4) The system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find x in terms of y from any one equation</em>

9x + 6y = 14

x = <u>14 - 6y</u>

9

<em>Step 2 : Substitute x in terms of y from step 1 in the second equation.</em>

18x + 12y = 26

18 (<u>14 - 6y)</u> + 12y = 26

9

8 - 12y + 12y = 26

0 ≠ 18

<em>This statement is incorrect because there are no solutions. It does not have infinite number of solutions.</em>

<em>!!</em>

8 0

3 years ago

Read 2 more answers

Help please it’s needed

Paladinen [302]

Answer:

these shapes are congruent, because they have the same shape and the angles are the same

Step-by-step explanation:

follow me

6 0

3 years ago

Cora chose to have her birthday party

kramer

$35, sorry if I’m wrong

6 0

3 years ago