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3 years ago

• A rational number is such that when you multiply it by

Mathematics

1 answer:

Tatiana [17]3 years ago

7 0

Answer:

The number is -1/2.

Step-by-step explanation:

I am assuming they are fractions. So we have the equation:

5/2 x + 2/3 = -7/12

We multiply through by 12 to eliminate the fractions:

5/2 * 12 x + 2/3 * 12 = -7/12 * 12

30x + 8 = -7

30x = -15

x = -15/30

x = -1/2.

You might be interested in

How do you solve it?

MatroZZZ [7]

Answer:

i: x=-2, x=1

ii: x=-1/2

Step-by-step explanation:

Quadratic form:

You solve i by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

$(x+2)(x-1)=0$

"first" would be $x*x$ , which would equal $x^{2}$

"outside" would be $x*-1$ , which would equal $-1x, or -x$

"inside" would be $2*x$ , which would equal $2x$

"last" would be $2*-1$ , which would equal $-2$

Now you need to combine the terms so that they are one after the other

$x^{2}-x$ $+2x-2$

Combine like terms, and you should get:

$x^{2} +x-2$

i Solution

You need to get the variable by itself.

Subtract two from both sides

$x+2=0\\x=-2$

Add one to both sides.

$x-1=0\\x=1$

ii Solution

Add all the terms.

$x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}$

8 0

3 years ago

Can someone please explain to me how to solve this equation?

Nikolay [14]

Answer:

first of all erase what u have written

Step-by-step explanation:

25-3x-5=2x+16+x
20-6x=16
6x=4
x=2/3

6 0

3 years ago

Is 3 yards bigger than 21 feet

umka21 [38]

Yes, 3 yards is bigger than 21 feet because there are 3 feet in a yard.

5 0

3 years ago

Read 2 more answers

The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who w

pshichka [43]

Answer:

Two-tailed test.

Step-by-step explanation:

There are two types of tests:

One-tailed tests and two-tailed tests.

When we only test if the mean is less or more than a value, we have a one-tailed test.

When we test if the mean is different from a value, we have a two-tailed test.

If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use?

Test if it is different, so a two-tailed test.

4 0

2 years ago

Find the measure of x. Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line

Genrish500 [490]

The value of x is 1.

* Let's explain how to solve the problem

- Line PU has points R and S between points P and U

- Line QR intersects line PU at point R

- Line ST intersects line PU at point S

- Lines QR and ST are parallel

- Look to the attached figure

∵ QR // ST

∴ m∠TSU = m∠QRU ⇒ corresponding angles

∵ m∠TSU = 15(x + 2)°

∴ m∠QRU = 15(x + 2)

∵ Points P, R, S lie on the same line

∵ RQ intersects PS at R

∵ m∠PRQ + m∠QRU = 180° ⇒ straight angle

∵ m∠PRQ = 135°

∵ m∠QRU = 15(x + 2)°

∴ 135 + 15(x + 2) = 180

∴ 135 + 15x + 30 = 180

- Add like terms

∴ 15x + 165 = 180

- Subtract 165 from both sides

∴ 15x = 15

- Divide both sides by 15

∴ x = 1

∴ The value of x is 1

In geometry, parallel lines are coplanar instantly traces that do not intersect at any factor. Parallel planes are planes in identical three-dimensional space that in no way meet. Parallel curves are curves that do not touch every different or intersect and hold a set minimal distance

In mathematics, the intersection of or more gadgets is any other item that includes the whole thing that is contained in all the items simultaneously.

Learn more about parallel lines here : brainly.com/question/24756209

#SPJ4

4 0

1 year ago