Solve the equation for X 3(x+2)=2(2-x)

Answers

Answer 1

Answer:

Answer:

x = - 2/5

Step-by-step explanation:

$3(x+2)=2(2-x)\n\n\mathrm{Expand\:}3\left(x+2\right):\quad 3x+6\n\n\mathrm{Expand\:}2\left(2-x\right):\quad 4-2x\n\n3x+6=4-2x\n\n\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\n\n3x+6-6=4-2x-6\n\n3x=-2x-2\n\n\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\n\n3x+2x=-2x-2+2x\n\nSimplify\n\n5x=-2\n\nDivide\:both\:sides\:by5\n\n(5x)/(5)=(-2)/(5)\n\nx=-(2)/(5)$

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John drew the line of best fit on the scatter plot shown. A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1 and scale along y axis from 0 to 15 at increments of 1. The ordered pairs 0, 3 and 1, 2 and 2, 4 and 3, 6 and 4, 6 and 5, 8 and 6, 10 and 7, 11 and 8, 12 and 9, 12 and 10, 14 are shown on the graph. A straight line joins the ordered pairs 0, 2 and 10, 14. What is the equation of this line of best fit in slope-intercept form? y = 2x + 6 over 5 y = 5 over 6x + 2 y = 2x + 5 over 6 y = 6 over 5x + 2

As a student give one reason why we need to know if our client is comfortable in our service

Answers

Answer:

you need to know if your client is comfortable in your service so that if he or she is not comfortable you correct you mistake and make he or she comfortable

Step-by-step explanation:

Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri will need [Blank] glass tiles. The dimentions are...26 , 15, 8.

Answers

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

What is the Surface Area of a Box?

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

What is the Surface Area of a Box?

SA = 2(lw + lh + hw), where:

l = length
w = width
h = height of the box

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

Learn more about Surface Area of a Box on:

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Write a verbal expression for each algebraic expression.2
1.) 9a

2.) c + 2d

3
3.) 7x - 1

Answers

1. nine(a)
2. c + two(d)
3. seven(x) - 1

Marisol and Mimi walked the same distance from their school to a shopping mall. Marisol walked 2 miles per hour, while Mimi left an hour later and walked 3 miles per hour. If they reached the mall at the same time how far is the mall from their school?

Answers

Let the time in hours after Marisol starts walking be t and so the time in hours after Mimi starts walking is (t-1)
The distance walked by Marisol=speed*time=2t
Distance walked by Mimi=3(t-1)

When they've reached school they've all walked the same distance so:
3(t-1)=2t
3t-3=2t
3t-2t=3
t=3
Thus the distance from the mall to their school is 2t=2*3=6 miles

A pump discharges 278 gallons of water in 3.5 minutes. How long would it take to empty a container with 750 gallons? Round up to the nearest minute

Answers

It would take 10.5 minutes

Hector waters his lawn if it does not rain at least 1 1/2 inches each week. It has already rained 3/8 inch this week. Which inequality represents the number of inches of rain, r, still needed so Hector does not have to water his lawn this week?A. r ≥ 1 7/8

B. r > 1 7/8

C. r ≥ 1 1/8

D. r > 1 1/8

(The fractions are mixed numbers!!!!)

Answers

Answer:

the answer is C

Step-by-step explanation:

this is because he needs at least 1 1/2, it's already rained 3/8 inches, so to simplify the equation change 1 1/2 to 1 4/8 which is still equivalent to 1 1/2, then subtract 3/8 from 1 4/8 which will give you 1 1/8. now here is where it gets kind of tricky, both C and D seem to have 1 1/2, but the difference between them is the symbols > and ≥ are CRUCIAL!!!! (">" means that the number at the left is greater than the number at the right while "≥" means that the number at the left is greater than OR EQUAL TO the number at the right) so as you can see you also need to pay attention to what the text says, because it is mention quote on quote "Hector waters his lawn if it does not rain at least 1 1/2 inches each week," this means that if it's not at least (in other words the same as or more) 1 1/2 inches of rain a week, he will water his plants

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