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11111nata11111 [884]
3 years ago
6

The sum of two numbers is 54 and the difference is 6. What are the numbers?

Mathematics
2 answers:
Sati [7]3 years ago
7 0

Answer:

The numbers are 21 and 33

Step-by-step explanation:

54/2=27

27-6=21

27+6=33


Kobotan [32]3 years ago
3 0

Answer:

30 and 24

Step-by-step explanation:

x+x-6=54

cobine like terms

2x-6=54

add 6 to both side

2x=60

divide both side by 2

30

subtract 6 from 30

24

so the answers are 24 and 30

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map of a city uses the scale 1 cm equals 50 m. On the​ map, South Street is 25 cm long. If there is a traffic cone at the start
aivan3 [116]

Answer:

125 traffic cones

Step-by-step explanation:

In order to find the total number of meters, we can set up a proportion to find based on the ration of cm to m:

\frac{centimeters}{meters}=\frac{1}{50}=\frac{25}{x}, where 'x' is the number of meters

cross-multiply: x = 25(50) or x = 1250 m

Since there is a cone every 10 m, we can divide the total number of meters by 10:

1250/10 = 125 cones

4 0
3 years ago
What is the value of n? 133 142 n
babunello [35]

Answer:

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Step-by-step explanation:

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3 years ago
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Imagine that you have developed a genetic test to detect the dominant allele (A) that cause a rare genetic condition. As with mo
s344n2d4d5 [400]

Answer:

Correct option: (B) 1.495%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = the test is positive.

<em>A</em> = a person with the dominant allele

The information given are:

P(X|A)=1\\P (X|A^{c})=0.005\\P(A)=0.01

According to the law of total probability the probability of an event <em>A, </em>conditional upon the occurrence of another event <em>B</em> is:

P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

Use this law to compute the probability of person having a positive result as follows:

 P(X)=P(X|A)P(A)+P(X|A^{c})P(A^{c})\\=(1\times0.01)+(0.005\times(1-0.01))\\=0.01+0.00495\\=0.01495

The percentage of positive result is: 0.01495 × 100 = 1.495%.

Thus, the percentage of the population will give a positive test is 1.495%.

4 0
3 years ago
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

<em>M=(-1,-1)  ----- Missing part of question</em>

Required

Determine the coordinates of D

<em>Let the coordinates of D be (x₂,y₂)</em>

<em>We'll solve this question using mid point formula;</em>

<em></em>M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})<em></em>

<em>Where</em>

C(x_1,y_1) = (2,7)    and     M(x,y) = (-1,-1)

Put these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

By comparison;

-1 = \frac{2+x_2}{2}  and -1 = \frac{7+y_2}{2}

-1 = \frac{2+x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

-2 -2 = x_2

x_2 = -4

-1 = \frac{7+y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

-2 - 7 = y_2

y_2 = -9

<em>Hence, the coordinates of D is (-4,-9)</em>

4 0
3 years ago
The nth term of a sequence is 3n2/2
AlekseyPX

Answer:17th term I think

Step-by-step explanation:

6 0
3 years ago
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