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2 years ago

Translate the sentence into an inequality. The sum of 7 and w is greater than 21. ?

Mathematics

2 answers:

Alexeev081 [22]2 years ago

7 0

Answer:

$7+w \ge 21$

remove the line under the arrow

Effectus [21]2 years ago

7 0

Answer:

w>14

Step-by-step explanation:

"sum" means adding together. So, the sum of 7 and w would be 7+w. The equation states that this sum is greater than 21, so:

7+w>21

if you want a simplified version, subtract 7 from both sides to get w>14

You might be interested in

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

3 years ago

11. Circle all of the examples that are perfect square. (You must circle all correct responses to receive credit)

Law Incorporation [45]

Good evening ,

Answer:

Circle 0 , 4 , 16

Step-by-step explanation:

→ 0 = 0²

→ 4 = 2²

→ 16 = 4²

4 0

2 years ago

Which model represents the factors of x^2 + 9x+8?

grandymaker [24]

Answer:

Step-by-step explanation:

x² + 9x+8 = (x+1)(x+8)

6 0

3 years ago

One year, the population of a city was 225,000. Several years later it was 236,250. Find the percent increase.

vampirchik [111]

Based on the information given the percentage increase is 5%.

<h3>Percentage increase</h3>

Using this formula

Percentage increase=Population several years later-Population for year/Population for one year×100%

Let plug in the formula

Percentage increase=236,360-225,000/225,000×100

Percentage increase=5%

Inconclusion the percentage increase is 5%.

Learn more about percentage increase here:brainly.com/question/11360390

4 0

2 years ago

if the letters of Mississippi are put into a bowl what are the theoretical probabilities of choosing each letter

lilavasa [31]

The probability of choosing...

M - 1/11
I - 4/11
S - 4/11
P - 2/11

6 0

2 years ago