All categories

3 years ago

5-x<8;x=-3 how do you solve that?

Mathematics

1 answer:

Sergio [31]3 years ago

8 0

Make sure you substitute x for 3

The equation would be:

5-3<8

Subtract 3

2<8

The statement is true

You might be interested in

What is the largest shape that can be created by diagonal cut through a square pyramid?

vagabundo [1.1K]

A square????????????????

8 0

3 years ago

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi

gayaneshka [121]

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3}\pi r^{3}$ .

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get $\frac{4}{3} (3.14)(4^3)$ . The first step is to cube 4 (4*4*4) to get 64. Now your equation is $\frac{4}{3}(3.14)(64)$ .

Multiply 3.14 and 64 to get 200.96. The equation is now $\frac{4}{3}(200.96)$ or $\frac{4}{3} * \frac{200.96}{1}$ .

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of $\frac{803.84}{3}$ .

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

8 0

2 years ago

What is the midpoint of EC ?

sladkih [1.3K]

Given:

Given that the graph OACE.

The coordinates of the vertices OACE are O(0,0), A(2m, 2n), C(2p, 2r) and E(2t, 0)

We need to determine the midpoint of EC.

Midpoint of EC:

The midpoint of EC can be determined using the formula,

$Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the coordinates E(2t,0) and C(2p, 2r), we get;

$Midpoint=(\frac{2t+2p}{2},\frac{0+2r}{2})$

Simplifying, we get;

$Midpoint=(\frac{2(t+p)}{2},\frac{2r}{2})$

Dividing, we get;

$Midpoint=(t+p,r)$

Thus, the midpoint of EC is (t + p, r)

Hence, Option A is the correct answer.

4 0

3 years ago

The elevation of Location 1 is 20 feet above sea level and the elevation of Location 2 is 50 feet below sea level.

bearhunter [10]

Answer:

Step-by-step explanation:

Location 1 is 20 feet ABOVE the sea level while Location 2 is 50 feet BELOW the sea level.

Location 1 would be 20

Location 2 would be -50

And think of the greater than and lesser than symbol as a alligators mouth it would go towards the bigger number so, -50 < 20, Location 1 is higher, is the answer.

8 0

3 years ago

Read 2 more answers

Calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two type

olga55 [171]

Answer: Here's the complete question.

calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two types of annuities, all else equal, which type is more preferable? Why? Amount of annuity Interest rate Deposit period (years) $500 12% 6

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it discounts for one less year

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it discounts for one less year.

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it compounds for one more year.

Step-by-step explanation:

Future value of ordinary annuity = Amount*[{(1+r)n – 1}/r]

= 500*[{(1.12)6 – 1}/0.12]

= $4,057.59

i.e. $4,058

Future value of annuity due = (1+r)*Future value of ordinary annuity

= 1.12*4,058

= $4,545

Hence, the answer is

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Since payments are made at the beginning of the year

8 0

3 years ago