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3 years ago

Point K is on line segment JL. Given JK = 5x + 7, JL = 2x+8, and KL = 4,

Mathematics

1 answer:

kati45 [8]3 years ago

3 0

Answer:

The numerical length of JL is 6 units

Step-by-step explanation:

Here, we want to determine the numerical length of JL

Mathematically;

JL = JK + KL

2x + 8 = 5x + 7 + 4

2x + 8 = 5x + 11

5x -2x = 8-11

3x = -3

x = -1

But JL = 2x + 8

JL = 2(-1) + 8 = -2 + 8 = 6

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On babylonian tablet ybc 4652, a problem is given that translates to this equation: x (x/7) (1/11) (x (x/7)) = 60 what is the so

Yanka [14]

Thanks for posting your question here. The answer to the above problem is x = 48.125. Below is the solution:

x+x/7+1/11(x+x/7)=60
x = x/1 = x • 7/7
x • 7 + x/ 7 = 8x/7 - 60 = 0
x + x/7 + 1/11 • 8x/7 - 60 = 0
8x • 11 + 8x/ 77 = 96x/ 77
96x - 4620 = 12 • (8x-385)
8x - 385 = 0
x = 48.125

5 0

3 years ago

Read 2 more answers

Which of the following is not a polynomial?

nignag [31]

Answer:

Step-by-step explanation:

A is not a polynomial as the power of x is less than one

3 0

2 years ago

Consider these scenarios. 1. A piano weighs 5.5 × 102 units. 2. A grain of salt weighs 1.02 × 10-3 units. 3. A tractor trail

zhannawk [14.2K]

Answer:

1) pounds

2) grams

3) tons

Step-by-step explanation:

The suitable measurements for the scenarios are:

1) A piano weighs 5.5 × 10² units

550 Ib (pounds)

2) A grain of salt weighs 1.02 × $10^-3$ units

0.00102 grams

3) A tractor trailer weighs 8.8 × $10^1$ units

88 ton

10²g = 1kg

10^-3g = miligrams

10^1 g = decagram

5 0

3 years ago

Read 2 more answers

A a migrating bird flies 384 miles in 12 hours how many hours does it flies in 5 hours

shusha [124]

Divide 384 by 12 then multiply it by 5 to give you 160

4 0

2 years ago

A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.

AysviL [449]

Answer:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X= 0.996$ the sample mean

$s=0.004$ the sample deviation

$n =25$ the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

We can use as estimator of the real population deviation the sample deviation for this case $\hat \sigma = s$ / The critical value for 99% of confidence interval is given by $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

6 0

3 years ago