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3 years ago

Two numbers have a product of 20. The second number is three less than twice the first number. What are the two numbers?

Mathematics

1 answer:

yan [13]3 years ago

4 0

Answer:

4 and 5

Step-by-step explanation:

xy = 20

x = 2y - 3

(2y-3)y = 20

2y^2 - 3y = 20

2y^2 - 3y - 20 = 0

Solve the quadratic equation

you get y = 4, -5/2

Use 5 since it is one of the options

xy = 20, y = 4

x = 5

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3.Which value of x makes the equation 1.25(4x − 10) = 7.5 true?

In-s [12.5K]

Answer:

x=4

Step-by-step explanation:

1. distributive property

2. combine like terms

3. inverse operation

4. division or multiplication property

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3 years ago

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The endpoints of ab are a(1,4) and b(6,-1). If point c divides ab in the ratio 2:3, the coordinates of c are ?. If point d divid

aliya0001 [1]

Answer:

see explanation

Step-by-step explanation:

Find the coordinates of c using the section formula

$x_{c}$ = $\frac{(3(1)+(2(6)}{2+3}$ = $\frac{3+12}{5}$ = 3

$y_{c}$ = $\frac{(3(4))+(2(-1))}{2+3}$ = $\frac{12-2}{5}$ = 2

coordinates of c = (3, 2)

Similarly to find the coordinates of d

$x_{d}$ = $\frac{x(2(1))+(3(3))}{3+2}$ = $\frac{2+9}{5}$ = $\frac{11}{5}$

$y_{d}$ = $\frac{(2(4))+(3(2))}{3+2}$ = $\frac{8+6}{5}$ = $\frac{14}{5}$

coordinates of d = ( $\frac{11}{5}$ , $\frac{14}{5}$ )

4 0

3 years ago

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I WILLL GIVE THE BRAINLEST!!!!

DedPeter [7]

Answer:

25.13

Step-by-step explanation:

C=2πr=2·π·4≈25.13274cm

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3 years ago

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The following lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Has Lung Disea

Anna71 [15]

Answer:

4.11% probability that he has lung disease given that he does not smoke

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not smoke

Event B: Lung disease

Lung Disease/Nonsmoker 0.03

This means that $P(A \cap B) = 0.03$

Lung Disease/Nonsmoker 0.03

No Lung Disease/Nonsmoker 0.7

This means that $P(A) = 0.03 + 0.7 = 0.73$

What is the probability of the following event: He has lung disease given that he does not smoke?

$P(B|A) = \frac{0.03}{0.73} = 0.0411$

4.11% probability that he has lung disease given that he does not smoke

5 0

3 years ago

on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent

andre [41]

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18 =1/2

⇒ b1/b2= 3/6 = 1/2

⇒ c1/c2= 12/24= 1/2

comparing

⇒ a1/a2,b1/b2,c1/c2

⇒ a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

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3 years ago