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3 years ago

What should you conclude if, after solving an equation, the result is 1/2= 2/3

Mathematics

1 answer:

hram777 [196]3 years ago

5 0

Answer:

no solution

Step-by-step explanation:

1/2 = 2/3

This is not a true statement. If you get this after solving an equation, there is no solution to your equation.

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Find the area of a triangle whose base is x^2+2x+4 and whose height is 2x^2x +2x+6

kkurt [141]

The base of the triangle is x² + 2x + 4
The height of the triangle is 2x² + 2x + 6
The area of the triangle is
A = (1/2) b h
Substituting
A = (1/2)(x² + 2x + 4)(2x² + 2x + 6)
Which can be expanded or factored

6 0

3 years ago

The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaini

andrew11 [14]

Answer:

P.7500.00

Step-by-step explanation:

We are told that:

The ratio of Val's savings to Dan is 2:3 at first.

Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.

Let's say the total amount of savings they had at first was x.

Thus;

Val had: 2x/5

Dan had: 3x/5

Now, Dan spent P3000.00.

So amount Dan has left = (3x/5) - 3000

We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings

Thus; 2x/5 = (4/3)((3x/5) - 3000)

2x/5 = 12x/15 - 4000

Multiply through by 15 to get;

6x = 12x - (3000 × 15)

6x = 12x - 45000

Rearranging, we have;

12x - 6x = 45000

6x = 45000

x = 45000/6

x = P.7500

4 0

3 years ago

The coffee cup can hold 7/9 of a pint of liquid. If Emily pours 2/3 of a pint of coffee into a cup, how much more milk can she a

Orlov [11]

1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

7 0

2 years ago

Read 2 more answers

Use the net to find the surface area of the regular pyramid

Alja [10]

Answer:

151.9 if the side length of the pentagon/ base of each triangle is 6 m

Step-by-step explanation:

if the side length of the pentagon/ base of each triangle is 6 m then it is a pretty simple question, we just need to add the surface area of the base pentagon and each triangle.

We have the area of the base, so we just need the triangles. The area of a triangle is .5bh, where the base of a triangle here is one side of the pentagon and the height is that indicated red 6. so that means one triangle has an area of .5*6*6 or 18. There are 5 triangles total so that means that with all the triangles there is an area of 90. Adding that to 61.9 gets us 151.9. let me know if you need any more help.

8 0

3 years ago

Jacob transformed quadrilateral FGHJ to F'G'H'J'.

Rudik [331]

Answer:

A. Reflection across the line x = 1

Step-by-step explanation:

Please find the attachment.

We have been given that Jacob transformed quadrilateral FGHJ to F'G'H'J'. We are asked to find which transformation Jacob used to reflect FGHJ to F'G'H'J'.

Since we know that while reflecting a figure, the line of reflection will lie between the original figure and reflected figure. Each point of the reflected figure will have the same distance from the line of reflection as the corresponding point of the original figure.

Now let us see our given choices one by one.

A. Reflection across the line x = 1.

Upon looking at point G and G' we can see that both points are equidistant (2 units) from the line x=1. Other corresponding points of both quadrilaterals are also equidistant from line x=1, therefore, Jacob used the reflection across the line x=1 to transform quadrilateral FGHJ to F'G'H'J'.

B. Reflection across the line y = 1 .

If Jacob had reflected quadrilateral across line y=1, the points of quadrilateral F'G'H'J' will lie in second and third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option B is not a correct choice.

C. Reflection across the line y-axis.

If Jacob had reflected quadrilateral across y-axis, the coordinates of points of quadrilateral F'G'H'J' will be G'(1,4), H'(1,2), J'(4,0) and F'(2,5). Therefore, option B is not a correct choice.

D. Reflection across the x -axis.

If Jacob had reflected quadrilateral across x-axis, the points of quadrilateral F'G'H'J' will lie in third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option D is not a correct choice.

3 0

3 years ago