If OP = 3X+4 and NP = 10x-10 find the value of x. OP is half of NP.

Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has

Aleksandr [31]

Answer:

5

Step-by-step explanation:

for the first gear

revolutions/teeth

1 / 24

2 / 48

3 / 72

4 / 96

5 / 120

6 / 144

for the second gear

revolutions/teeth

1 / 40

2 / 80

3 / 120

4 / 160

the two marks will meet after 120 teeth, 5 revolutions of the first gear and 3 revolutions of the second.

the way to get that amount of teeth is

$24 = 2 \times 2 \times 2 \times 3 = {2}^{3} \times 3$

$40 = 2 \times 2 \times 2 \times 5 = {2}^{3} \times 5$

the Least Common Multiple equals the product of all factors, but those factors who are repeted for both numbers should be only once.

${2}^{3} \times 5 \times 3 = 120$

120 teeth are 5 revolutions for gear1 and 3 por gear2

8 0

3 years ago

What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?

BartSMP [9]

Answer:

y=-13x + 78 I'm not sure what's up with those answer choices though

7 0

3 years ago

The formula s= SA/6 squared gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a

stiv31 [10]

The surface area (SA) of a cube can be written as:

SA = 6s²

From here we can write, the length of the side s as:

$s= \sqrt{ \frac{SA}{6} }$

For cube with surface area of 1200 square inches, the side length will be:

$s= \sqrt{ \frac{1200}{6} }=10 \sqrt{2}$ inches

For cube with surface area 768 square inches, the side length will be:

$s= \sqrt{ \frac{768}{6} }=8 \sqrt{2}$ inches

The difference in side lengths of two cubes will be:

$10 \sqrt{2} -8 \sqrt{2}=2 \sqrt{2}$

Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.

7 0

3 years ago

Read 2 more answers

NEED HELP WITH THESE QUESTIONS

amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$