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FrozenT [24]
3 years ago
6

Write an equation for the following situation: 15 less than a number is equal to 12

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0
Break it down
"15 less than " means -15
"a number" means unknown or placeholder means x
"is equal to" means '='
'12' means 12
-15+x=12
add 15
x=27
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ALGEBRA QUESTION PLS HELPS
cluponka [151]

The value of x is –7.

Solution:

Given expression:

$\left(\frac{1}{x+3}+\frac{6}{x^{2}+4 x+3}\right) \cdot \frac{x+3}{x+1}

Let us factor x^2+4x+3.

x^2+4x+3=(x+1)(x+3)

Substitute this in the fraction.

$\left(\frac{1}{x+3}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

To make the denominator same, multiply and divide the first term by (x +1).

$\left(\frac{(x+1)}{(x+1)(x+3)}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

Denominators are same, you can add the fractions.

$\left(\frac{x+1+6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

$\frac{x+7}{(x+1)(x+3)} \cdot \frac{x+3}{x+1}

Cancel the common term in the numerator and denominator.

$\frac{x+7}{x+1} \cdot \frac{1}{x+1}

Multiply the fractions.

$\frac{x+7}{(x+1)^2}

$\frac{x+7}{x^2+2x+1}

The expression is simplified to one rational expression.

Suppose the expression is equal to 0.

$\frac{x+7}{x^2+2x+1}=0

Do cross multiplication.

${x+7}=0\times (}{x^2+2x+1})

Any number or variable multiplied by 0 gives 0.

${x+7}=0

Subtract 7 from both sides of the equation.

${x+7-7}=0-7

x = –7

The value of x is –7.

7 0
3 years ago
2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal dist
vagabundo [1.1K]

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

7 0
2 years ago
Py+7=6y+q solve for y
andreyandreev [35.5K]

We know that we are solving for y.


This is a step by step procedure to get the value of y.


First: Move all terms to the left side and set equal to zero.


Second: Then set each factor equal to zero.

 

The application is:


Given: py+7=6y+q 


-6y -7 -6y -7 = 0


(p-6)y = q-7



divide both sides by p-6
y=(q-7)/(p-6)


Answer is y = (q – 7) / (p – 6) 

8 0
3 years ago
What is 4/20 as a percent? And how do I find it?
Reika [66]
Well u know 4/20 equals 0.2 as a decimal but as a percentage it is 20% so 4/20 as a percentage is 20%
4 0
3 years ago
It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposi
fenix001 [56]

Answer:

300+200

Step-by-step explanation:

did not give a equation

6 0
2 years ago
Read 2 more answers
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