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3 years ago

Solve −2(n+3)−4=8 . The solution is n= .

Mathematics

1 answer:

Anton [14]3 years ago

3 0

Answer:

n= -9

Step-by-step explanation:

Simplifying

-2(n + 3) + -4 = 8

Reorder the terms:

-2(3 + n) + -4 = 8

(3 * -2 + n * -2) + -4 = 8

(-6 + -2n) + -4 = 8

Reorder the terms:

-6 + -4 + -2n = 8

Combine like terms: -6 + -4 = -10

-10 + -2n = 8

Solving

-10 + -2n = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + -2n = 8 + 10

Combine like terms: -10 + 10 = 0

0 + -2n = 8 + 10

-2n = 8 + 10

Combine like terms: 8 + 10 = 18

-2n = 18

Divide each side by '-2'.

n = -9

Simplifying

n = -9

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Which equation has the same solutions as the equation given below?

Lapatulllka [165]

Answer:

Step-by-step explanation:

Also solved eveything

(x+9)^2=49

x^2+18x+81=49

x^2+18x+32=0

a=1, b=18 and c=32

x= (-18 +/- Sqrt (18^2-4×32))/2

x= (-18 +/- Sqrt (324-128))/2

x= (-18 +/- Sqrt (196))/2

x= (-18 +/- 14)/2

x= (-18 +14)/2 = -4/2 =-2

x= (-18 -14)/2 = -32/2 =-16

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2 years ago

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The National Cancer Institute estimates that 3.65% of women in their 60s get breast cancer. A mammogram can typically identify c

masha68 [24]

Answer:

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: Having breast cancer.

3.65% of women in their 60s get breast cancer

This means that $P(B) = 0.0365$

A mammogram can typically identify correctly 85% of cancer cases

This means that $P(A|B) = 0.85$

Probability of a positive test.

85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

$P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792$

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

$P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917$

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

7 0

2 years ago

Find the value of x. Round the length to the nearest tenth.

navik [9.2K]

cos44° = x/10

x = 10cos44° = 7.2ft

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3 years ago

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Provides a unique set of guidelines that can be applied to any triangle. The guidelines demonstrate a clear understanding of app

Oksi-84 [34.3K]

we can have a triangle and we know that there are two angles.

30º and a 45º + 105 =180º angle. applying the sides.

therefore if we have the whole triangle completed we have a constant triangle.

so it tell us we can you’se SOH CAH TOA

we can varrify what kind of triangle we are using.

for example if we were to use Sin I would do

Sin 30/ 2 = sin of 105º/ A = sin=45º/ B

if you would want to solve for sin 30/2 and sin 105, then we solve.

or Sin 30/2 and Sin 105 as well.

with your calculator use sin= 30=.5 and use sin 105º a divide by 1.5 on both sides 1.5= A /sin 105º * 1.5 answer would be 3.86. a is = to 3.86 (Not the answer)

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3 years ago

Tom wants to buy some protein bars and magazines for a trip he has decided to buy three times as many protein bars with magazine

kumpel [21]

Answer:12 Protein bar and 3 magazines

Step-by-step explanation:

Given

Tom purchases Protein bars 3 times as much as magazine

Each bar cost $\$ 0.7$

Each magazine costs $\$ 2.50$

Sales tax is 6.5 %

suppose Tom buy x magazines so

Price of magazine is $2.5 x$

Price of bars is $3\times 0.7x=2.1 x$

Total Price $=2.5 x+2.1 x=4.6 x$

After sales tax $=4.6x(1+0.065)=4.899 x$

This must be less than $\$ 20$

so $4.899x < 20$

$x< 4.082$

thus $x=4$

so he but 4 magazines and 12 protein bars

3 0

2 years ago