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3 years ago

1. 125 decreased by a number

Mathematics

2 answers:

Volgvan3 years ago

3 0

Answer:

125-x

Step-by-step explanation:

i don't know what exactly you're aiming for, but if you want to write this as an equation, you would put it as 125-x. since we don't know what the number is, we would put a variable that we can sub in any number we want.

hope this made sense!

Illusion [34]3 years ago

3 0

The phrase "decreased by" means subtraction. Also whenever you see "a number", you can think of x. So we have 125 - x is the answer. Just be careful in this section, the terms "from" and "less than" will require you to change the order that you see in the question. For us, the phrase was "decreased by" so we didn't need to change the order. The 125 was in front and the "number" was in the back. EXTRA: "125 from a number" would be x - 125 because you would have to switch the order.

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What are the possible values of x in x2 + 3x + 3 = 0?

stealth61 [152]

Hello,

$x^2+3x+3=0\\

\Delta=9-4*3=-3\\

x= \dfrac{-3-i*\sqrt{3}}{2} \ or\ x= \dfrac{-3+i*\sqrt{3}}{2} \\

$

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3 years ago

Read 2 more answers

Show the work please

Kay [80]

Answer:

1) (x + 3)(3x + 2)

2) x= +/-root6 - 1 by 5

Step-by-step explanation:

3x^2 + 11x + 6 = 0 (mid-term break)

using mid-term break

3x^2 + 9x + 2x + 6 = 0

factor out 3x from first pair and +2 from the second pair

3x(x + 3) + 2(x + 3)

factor out x+3

(x + 3)(3x + 2)

5x^2 + 2x = 1 (completing squares)

rearrange the equation

5x^2 + 2x - 1 = 0

divide both sides by 5 to cancel out the 5 of first term

5x^2/5 + 2x/5 - 1/5 = 0/5

x^2 + 2x/5 - 1/5 = 0

rearranging the equation to gain a+b=c form

x^2 + 2x/5 = 1/5

adding (1/5)^2 on both sides

x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2

(x + 1/5)^2 = 1/5 + 1/25

(x + 1/5)^2 = 5 + 1 by 25

(x + 1/5)^2 = 6/25

taking square root on both sides

root(x + 1/5)^2 = +/- root(6/25)

x + 1/5 = +/- root6 /5

shifting 1/5 on the other side

x = +/- root6 /5 - 1/5

x = +/- root6 - 1 by 5

x = + root6 - 1 by 5 or x= - root6 - 1 by 5

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3 years ago

Solve for x.<br> -30 = 5(x + 1) <br>x=

Alecsey [184]

Answer: -7

Step-by-step explanation:

-30 = 5(x + 1)

-30 = 5x + 5. ( After distrbuting the 5)

-5. -5

-30 - 5. = 5x

-35 = 5x

x = -7

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3 years ago

Jack and Jill were buying water jugs jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars and Jill bought 4 me

Mademuasel [1]

Answer: the cost of one medium sized jug is $60

the cost of one large sized jug is $10

Step-by-step explanation:

Let x represent the cost of one medium sized jug.

Let y represent the cost of one large sized jug.

Jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars. This means that

2x + 3y = 150 - - - - - - - - - - - 1

Jill bought 4 medium jugs and 12 large jugs for 360 dollars. This means that

4x + 12y = 360 - - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 2, it becomes

8x + 12y = 600

8x + 24y = 720

Subtracting, it becomes

- 12y = - 120

y = - 120/ - 12

y = 10

Substituting y = 10 into equation 1, it becomes

2x + 3 × 10 = 150

2x + 30 = 150

2x = 150 - 30 = 120

x = 120/2 = 60

3 0

3 years ago

Plsssssss help<br>got 20 mins<br>the question is: The sin of angle DCB is

Elena L [17]

Answer:

i. <DCB = $53.13^{o}$

ii. Sin of <DCB = 0.8

Step-by-step explanation:

Let <DCB be represented by θ, so that;

Sin θ = $\frac{opposite}{hypotenuse}$

Thus from the given diagram, we have;

Sin θ = $\frac{4}{5}$

= 0.8

This implies that,

θ = $Sin^{-1}$ 0.8

= 53.1301

θ = $53.13^{o}$

Therefore, <DCB = $53.13^{o}$ .

So that,

Sin of <DCB = Sin $53.13^{o}$

= 0.8

Sin of <DCB = 0.8

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3 years ago