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3 years ago

What factors do 18 and 30 have in common?

Mathematics

2 answers:

mamaluj [8]3 years ago

7 0

Answer:

Factors for 18: 1, 2, 3, 6, 9, and 18.

Factors for 30: 1, 2, 3, 5, 6, 10, 15, and 30.

Klio2033 [76]3 years ago

5 0

Step-by-step explanation:

common factors are 1,2,3,6

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10x² - 43x+28<br><br> How do you factor this

mr Goodwill [35]

Keep your head up.

Trying to spread positivity

5 0

3 years ago

Find the equation of the line that is perpendicular to y = 2x + 8 and passes though the point (8, –8).

irina1246 [14]

Answer:

y= -1\2x-4

Step-by-step explanation:

y=mx+c

perpinicular means you flip the slop and change the sign so the slope(m) become -1\2

y=-1\2x+c

since he gives you (8,-8) meaning x=8 and y= -8

we substitute

-8=(-1\2 x 8) +c

now we isolate c

-8+4=c

c=-4

the equation will be

y= -1\2x-4

3 0

3 years ago

Sydney took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.75 per mile. The total fare was $

Sati [7]

The equation is x = 20.85 / 1.75 where x is the number of miles and the number of miles is 11.91 miles.

Given,

Sydney took a taxi from her house to the airport.

The taxi company charged a pick-up fee of $1.75 per mile.

The total fare was $20.85, not including the tip.

We need to write and solve an equation that can be used to determine the number of miles in the taxi ride.

We have,

Taxi fare per mile = $1.75

Total fare = $20.85

Find the number of miles in a total fare of $20.85.

$1.75 = 1 mile

Multiplying by 20.85 on both sides.

20.85 x $1.75 = 20.85 x 1 mile

Dividing by 1.75 on both sides.

(20.85 x $1.75) / 1.75 = (20.85 x 1 mile) / 1.75

$20.85 = 11.91 mile

We see that 11.91 miles will cost $20.85.

Write an equation to show this situation.

x = 20.85 / 1.75

Where x is the number of miles.

we get,

x = 20.85 / 1.75 = 11.91

Thus the equation is x = 20.85 / 1.75 and the number of miles is 11.91 miles.

Learn more about solving an equation to find the number of miles with a rate given per mile here:

brainly.com/question/22582035

#SPJ1

4 0

2 years ago

Reflect the following points over the<br> x-axis. (-5, -3) (-2,-6) (-4,-8)

viktelen [127]

Reflect over x-axis rule: (x,y) -> (x,-y)

(-5,3) --> (-5,-3)

(-2,-6) --> (-2,6)

(-4,-8) --> (-4,8)

8 0

3 years ago

A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft

Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

$\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)$

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

$\frac{T(t2)-T(t1)}{t2-t1}$ ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

$\frac{27 - 46}{15 - 0}$ = -h (27 - Tenv)

$\frac{19 - 27}{15 - 0}$ = -h (19 - Tenv)

Now we have a system of two equations and two variables

$\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h$

$\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18$

The refrigerator was at around 13 ∘C

6 0

3 years ago