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4 years ago

14

Select a composite number to break 180 into factors. Continue factoring unil all factors are prime

1 answer:

Travka [436]4 years ago

6 0

Answer:

7 * 2 * 2 * 2

Step-by-step explanation:

just break it up

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the table shows how many miles uyen has run this week. the total distance this week is 1.5 times the distance that she ran last

NNADVOKAT [17]

Given that the table shows the total miles Uyen has run this week.

The image of the table is attached below.

The total distance from the table is $6.5+2.9+4.2+5.5+3.1=22.2$

The total distance this week is 1.5 times the distance that she ran last week.

We need to determine the number of miles that Uyen run last week.

<u>The number of miles Uyen run last week:</u>

Let x denote the number of miles that Uyen run last week.

Let us write the equation from the given data.

Thus, we have;

$22.2=1.5 x$

Dividing both sides by 1.5, we have;

$14.8=x$

Hence, the value of x is 14.8 miles.

Thus, Uyen ran 14.8 miles last week.

7 0

4 years ago

I need help plsssssss

Svetllana [295]

4)Area :32cm

5)18cm

6) 49cm

4 0

3 years ago

Chad sells custom T-shirts with five of his friends. They want to make enough money so that, after splitting the earnings evenly

Andrei [34K]

Answer:

200

40*5 =200

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured across a line (x + 2)/3 = (2y + 3)/4

dimaraw [331]

Answer:

Distance of the point from its image = 8.56 units

Step-by-step explanation:

Given,

Co-ordinates of point is (-2, 3,-4)

Let's say

$x_1\ =\ -2$

$y_1\ =\ 3$

$z_1\ =\ -4$

Distance is measure across the line

$\dfrac{x+2}{3}\ =\ \dfrac{2y+3}{4}\ =\ \dfrac{3z+4}{5}$

So, we can write

$\dfrac{x-x_1+2}{3}\ =\ \dfrac{2(y-y_1)+3}{4}\ =\ \dfrac{3(z-z_1)+4}{5}\ =\ k$

$=>\ \dfrac{x-(-2)+2}{3}\ =\ \dfrac{2(y-3)+3}{4}\ =\ \dfrac{3(z-(-4))+4}{5}\ =\ k$

$=>\ \dfrac{x+4}{3}\ =\ \dfrac{2y-3}{4}\ =\ \dfrac{3z+16}{5}\ =\ k$

$=>\ x\ =\ 3k-4,\ y\ =\ \dfrac{4k+3}{2},\ z\ =\ \dfrac{5k-16}{3}$

Since, the equation of plane is given by

x+y+z=3

The point which intersect the point will satisfy the equation of plane.

So, we can write

$3k-4+\dfrac{4k+3}{2}+\dfrac{5k-16}{3}\ =\ 3$

$=>6(3k-4)+3(4k+3)+2(5k-16)\ =\ 18$

$=>18k-24+12k+9+10k-32\ =\ 18$

$=>\ k\ =\dfrac{13}{8}$

So,

$x\ =\ 3k-4$

$=\ 3\times \dfrac{13}{8}-4$

$=\ \dfrac{7}{4}$

$y\ =\ \dfrac{4k+3}{2}$

$=\ \dfrac{4\times \dfrac{13}{8}+3}{2}$

$=\ \dfrac{19}{4}$

$z\ =\ \dfrac{5k-16}{3}$

$=\ \dfrac{5\times \dfrac{13}{8}-16}{3}$

$=\ \dfrac{-21}{8}$

Now, the distance of point from the plane is given by,

$d\ =\ \sqrt{(x-x_1)^2+(y-y_1)^2+(z-z_1)^2}$

$=\ \sqrt{(-2-\dfrac{7}{4})^2+(3-\dfrac{19}{4})^2+(-4+\dfrac{21}{8})^2}$

$=\ \sqrt{(\dfrac{-15}{4})^2+(\dfrac{-7}{4})^2+(\dfrac{9}{8})^2}$

$=\ \sqrt{\dfrac{225}{16}+\dfrac{49}{16}+\dfrac{81}{64}}$

$=\ \sqrt{\dfrac{1177}{64}}$

$=\ 4.28$

So, the distance of the point from its image can be given by,

D = 2d = 2 x 4.28

= 8.56 unit

So, the distance of a point from it's image is 8.56 units.

4 0

4 years ago

There are 144 animals at a pet store. 56 are cats; the rest are dogs. what fraction of all of the animals are dogs?

svlad2 [7]

144 - 56 = 88

88/144 simplified to -----> 11/18

4 0

4 years ago

Read 2 more answers