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3 years ago

Ellle bought 6 pineapples for $12.95. Estlm the cost of each pineapple to the nearest cent?

Mathematics

1 answer:

Zarrin [17]3 years ago

4 0

Answer:

$2.16

Step-by-step explanation:

divide $12.95 by 6

12.95/6=2.15833333333

round to the nearest cent : $2.16

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What is the length of the missing base of the trapezoid? 3 in 8 in Area= 21 in2

DerKrebs [107]

its 8...

3 on left, 3 on right 8 on top, 8 on bottom

8 0

4 years ago

Solve the equation. Check for extraneous solutions. 2|7−7x|=2x+4

Vesna [10]

2|7 − 7x| = 2x + 4

|7 - 7x| = x + 2

7 - 7x = x + 2 or 7 - 7x = -(x + 2)

-8x = -5 or 7 - 7x = -x - 2

x = 5/8 or -6x = -9

x = 5/8 or x = 9/6

x = 5/8 or x = 3/2

To check for extraneous solutions, we check both solutions in the original equation.

Check solution 5/8:

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 5/8| = 5/8 + 2

|56/8 - 35/8| = 5/8 + 16/8

21/8 = 21/8

Solution x = 5/8 works.

Check solution 3/2:

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 3/2| = 3/2 + 2

|14/2 - 21/2| = 3/2 + 4/2

|-7/2| = 7/2

7/2 = 7/2

Solution 3/2 also works.

Answer: x = 5/8 or x = 3/2

5 0

3 years ago

Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give

garri49 [273]

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

$I=P\times r\times t$

where, P is principal, r is rate of interest and t is time in years.

$I=18790\times 0.049\times 3$

$I=2762.13$

Total amount after 3 year is

$A=P+I$

$A=18790+2762.13$

$A=21552.13$

$A\approx 21552$

Therefore, Dan have £21552 after 3 years.

8 0

3 years ago

Can you please help with both? :)

QveST [7]

Answer: 1. 12 2. 120

Step-by-step explanation:

1. so basically 9/6=18/x

since they are similir the'd have the same ratio

sooo you just solve for x (multiply 6 by 18, and then divide by 9) and you get 12

2. same thing except you put 6/10=12/x, and solve it (multiply 10 by 12 and divide by 6) and u get 20

dats how i would do it but there are other ways too im sure :)

hope this helps

8 0

3 years ago

An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed th

Ronch [10]

Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

Compute the value of α as follows:

$\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09$

(2)

As the population standard deviation is provided, i.e. σ = 256 psi, the z value would be appropriate.

The z value for α = 0.09 is,

z = 1.69

(3)

Compute the 91% confidence interval as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$=3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)$

(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

8 0

3 years ago