All categories

3 years ago

What is the solution to the inequality 5.25 – b ≥ 6.5?

Mathematics

2 answers:

natita [175]3 years ago

7 0

$- b \geqslant 6.5 - 5.25 \\$

$b \leqslant 1.25$

bulgar [2K]3 years ago

5 0

<h2>Answer:</h2>

The solution to the inequality 5.25 – b ≥ 6.5 is:

b ≤ -1.25

i.e. in interval form it is: (-∞,-1.25]

<h2>Step-by-step explanation:</h2>

We are given a inequality with a equality sign in terms of single variable b as follows:

5.25 – b ≥ 6.5

on subtracting both side by 5.25 we get:

-b ≥ 6.5-5.25

⇒ -b ≥ 1.25

on multiplying both side by -1 we get:

b ≤ -1.25 or in interval form it is: (-∞,-1.25]

( As we know that on multiplying by a negative number the sign of the inequality get interchanged )

You might be interested in

Aaliyah practices clarinet a total of 11.25 hours in d days. She practices the same amount of time each day. How many hours does

amm1812

6 hours per day lol

6 0

3 years ago

Which function represents the data

Nady [450]

There is nothing attached

6 0

3 years ago

Read 2 more answers

If x+y=8, y+z=7, and x+z=5, what is the value of x? What is the formula or strategy to approach this question?

joja [24]

The strategy is to work from a system with three variables and three equations down to something with two variables and two equations. In a two variable-two equation system, you can use either substitution or elimination.

First, let's organize the equations.

(1) x + y = 8

(2) y + z = 7

(3) x + z = 5

Now, we'll solve one of (1), (2), and (3) for a variable. The choice is yours, but we'll use equation (3) and solve it for x.

x + z = 5

x = 5 - z.

Now we put this into equation (1). Why (1)? It's the only one of (1) and (2) with x.

x + y = 8

5 - z + y = 8

-z + y = 3

y - z - 3 to rearrange it.

Now look at this new equation - call it (4) and the original (2).

(4) y - z = 3

(2) y + z = 7

This is a system of two equations and two variables. Either substitution or elimination works here - let's use elimination because of the -z and +z.

y - z = 3

y + z = 7

We add them together and we have that 2y = 10. Divide on both sides and y = 5. One variable down, two to go.

Now we go back to original equation (2). Substitute y = 5 to find z.

y + z = 7

5 + z = 7

z = 2.

Two down, one to go. Since we know z = 2, let's put it into (3) and find x. (Equation (1) with y = 5 works fine as well.)

x + z = 5

x + 2 = 5

x = 3

Thus x = 3, y = 5 and z = 2.

3 0

3 years ago

Which transformation will map an isosceles trapezoid onto itself? rotation by 180° about its center, reflection across a diagona

alukav5142 [94]

Answer:

The correct option is 4.

Step-by-step explanation:

The non parallel sides of an isosceles trapezoid are congruent.

The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if

1. Reflection across a line joining the midpoints of parallel sides.

2. Rotation by 360° about its center.

3. Rotation by 360° about origin.

If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.

If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.

If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.

After rotation by 360° about the center, we always get an onto figure.

Therefore option 4 is correct.

6 0

3 years ago

Read 2 more answers

From 75 pencils to 225 penicls

Masja [62]

Answer:

He gained 150 pencils

Step-by-step explanation:

So this person had 75 pencils and now has 225?

If so, this is just a subtraction problem!

Steps:

1. 225-75=150

--Subtract how many pencils he had from how many he has now to see how much he gained

This person gained 150 pencils.

Hope this helped!! :)

3 0

4 years ago