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3 years ago

Solve the equation 5x + 7y = 35 for y.

Mathematics

2 answers:

vredina [299]3 years ago

6 0

Answer:

B. $y= 5 - \frac{5}{7} x$

Step-by-step explanation:

okay, so you are trying to get y alone on one side. The first thing you want to do is try to get 7y alone on one side. You do that my subtracting 5x on both sides. You get 7y = 5x +35

Then you divide 7 on both sides and get y = -5/7x + 5

erastovalidia [21]3 years ago

4 0

Answer:

D. y = -5/7x + 5

Step-by-step explanation:

5x + 7y = 35

-5x -5x

7y = 35 - 5x

/7 /7 /7

y = 35/7 - 5/7 x

y = 5 - 5/7x

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Dakota has four tents kilogram of clay he divided the clay to make eight equal size pots how many grams of clay are in each pot

sukhopar [10]

Answer:
There are 2.22 grams of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay =
So, by using conversion factor we convert it into grams:

Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
Therefore, there are 2.22 grams of clay are in each pot.

5 0

3 years ago

ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo

viva [34]

Answer:

The critical value of z for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let X = number of lightning strikes on each day.

A random sample of n = 23 days is selected to observe the number of lightning strikes on each day.

The random variable X has a sample mean of, $\bar x=8.1\ mn$ and the population standard deviation, $\sigma=0.51\ mn$ .

The (1 - α)% confidence interval for population mean μ is:

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

Compute the critical value of z for 99% confidence interval is:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760$

*Use a z-table.

The critical value of z for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)$

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

3 0

2 years ago

Please answer!!!!!!!!!!!

irga5000 [103]

Answer:

i think its A

Step-by-step explanation:

7 0

3 years ago

One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.

Nat2105 [25]

Let one no. be x , Then according to question other number will be 8x
Now 8x - x = 70
7x = 70
x=10
hence one no is 10 and other 80