Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more
than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
a
28 + 65H <250
28 + 65H > 250
© 65 +28H < 250
D
65 +28H 250

Answer:

a) 8/10

b) [tex]0.001 \overline{33}[/tex]

c) Independent events

Step-by-step explanation:

The given information are;

The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600

The proportion of women in which the mutation develops breast cancer, P(B) = 8/10

a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;

1 × P(B) = 1 × 8/10 = 8/10

b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;

P(A) × P(B) = 1/600×8/10 = 1/750 = [tex]0.001 \overline{33}[/tex]

c) The events are dependent

Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.

Answer:

37.5 miles per hour

Step-by-step explanation:

d= rt; d is distance (225 miles), r is rate, and t is time (6 hours)

225= 6r

225/6 = 6r/6

37.5= r

37.5 miles per hour

Hope this helps!

Answer:

C

Step-by-step explanation:

Its adds 5 each time

The next three terms of Sequence is 2, 7, 12.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

Given:

-18, -13, -8, -3,…

Now, the common difference = -13 - (-18)= -13 + 18 = 5

So, the formula for nth term will be

[tex]a_n[/tex] = -18 + 5(n-1)

Then,  n= 5th term

[tex]a_n[/tex] = -18 + 5(5-1)

[tex]a_n[/tex] = -18 + 5(4)

[tex]a_n[/tex] = -18 + 20

[tex]a_n[/tex] = 2

and, n= 6th term

[tex]a_n[/tex] = -18 + 5(6-1)

[tex]a_n[/tex] = -18 + 5(5)

[tex]a_n[/tex] = -18 + 25

[tex]a_n[/tex] = 7

and, n= 7th term

[tex]a_n[/tex] = -18 + 5(7-1)

[tex]a_n[/tex] = -18 + 5(6)

[tex]a_n[/tex] = -18 + 30

[tex]a_n[/tex] = 12

Hence, the next three terms are 2, 7, 12.

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Answer:

the third one; lower left

Step-by-step explanation:

To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

Lower left: x increases by 2 and y by 2

The red one is [tex]x +2y = 6[/tex] and the blue one is [tex]2x -y = 4[/tex]

The black points are the y-intercepts and and purple ones are the x-intercepts.

Answer:

[tex]\boxed { x = -\frac{5}{2}}[/tex]

Step-by-step explanation:

To determine the value of [tex]x[/tex], write expression by using the following measurement from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve:

[tex]\angle 1 = 20 + 5x[/tex]

[tex]\angle 2 = x + 10[/tex]

[tex]20 + 5x = x + 10[/tex]

Solve for [tex]x[/tex]:

[tex]20 + 5x = x + 10[/tex]

[tex]20 + 5x - x = x - x + 10[/tex]

[tex]20 + 4x = 10[/tex]

[tex]20 - 20 + 4x = 10 - 20[/tex]

[tex]4x = -10[/tex]

[tex]\frac{4x}{4} = \frac{-10}{4}[/tex]

[tex]\boxed { x = -\frac{5}{2}}[/tex]

So, the value of [tex]x[/tex] is [tex]-\frac{5}{2}[/tex].

Answer:

(4/9)/x = 12

(4/9) = 12x

Divide both sides by 12

27 is right

Answer:

its just 27

Step-by-step explanation:

whoever answered before was wrong

Answer:

50 yards.

Step-by-step explanation:

Since we know that 5 yards can make 2 costumes, we can divide 5/2 to find 2.5 yards are needed to make one costume. Then you can multiply 2.5*20 to get 50 yards needed for 20 costumes. Hope this helps :)

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are eliminated. The distributive property lets you do that.

2. 2x is subtracted from both sides. The subtraction property of equality lets you do that.

3. 28 is added to both sides. The addition property of equality lets you do that.

4. Both sides are divided by 2. The division property of equality lets you do that.

Answer:

It will take 26.88hours to get to the beach

Step-by-step explanation:

From the problem statement, we are asked to find the time required to reach the beach.

given data

distance s=1344 miles

speed v= 50 mph

time t=?

we know that the relationship between speed, distance and time is given as

velocity=distance/time

substituting our given data into the expression we have

50=1344/t

making t subject of the formula we have

t=1344/50

t= 26.88 hours

Therefore it will take 26.88hours to get to the beach

Answer:0.3

it is very easy wants you connect with math

Answer:

-10

Step-by-step explanation:

∛-1000=-10

Answer:

-10

Step-by-step explanation:

First...

A cube root is to find a number that if multiplied three times by its self equals this number. (sorry a little confusing)

Next...

Forget about the negative for a little bit and look at it.

10*10*10=1000

Finally...

If 10 cubed is positive 1000 then -10 cubed is -1000.

So the answer is -10.

Answer:

2

Step-by-step explanation:

5 x 2=10+4=14

x=2

Answer:

$0.64

Step-by-step explanation:

6 cans of soda = $3.84

3.84 / 6 = 0.64

1 can of soda = $0.64

Answer:

$0.64

Step-by-step explanation:

Answer:

0.00005 is in standard form.

Step-by-step explanation:

The value of y for the equation y = |x| + 1 is 10.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y = |x| + 1          (1)

To find the value of y when x is - 9.

Substitute the value of x in equation (1),

y = |-9| + 1

The mode value of is always positive,

y = 9 + 1

y = 10

The required value of y is 10.

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Step-by-step explanation:

Hope it helps man .....

Answer:

J-¹(x)= x+6/5

or

J-¹(x)= x/5 + 6/5

Step-by-step explanation:

J(x)= 5x -6

•first separate your Y from the original equation like this

y= 5x-6

•second replace for x since we are talking about the inverse form

x= 5y-6

•third solve for y

x+6=5y-6+6

add 6 to both sides

x+6=5y

divide 5 to both sides

x+6/5=5y/5 (in your right side 5 cancels out)

it should look like this

x+6/5=y (you solved for y)

and now you write your answer like this

J-¹(x)= x+6/5

or

J-¹(x)= x/5 + 6/5

4 White Cats

( 13 - 7 ) - 2

    6 - 2

      4

Answer:

8x-2=-9+7x equals X=-7

Answer:

x = -7

Step-by-step explanation:

Answer:

3 i think

Step-by-step explanation:

Answer:

Option A is correct

Step-by-step explanation:

Speed of truck = 55 miles/hour

Time taken = 3.25 hours

Distance = Speed × Time

[tex]=55[/tex] × 3.25

[tex]=178.75[/tex]

But truck driver has to make a delivery at  a location that is 230.2 miles away.

Distance left to be covered by a truck driver = [tex]230.2-178.75=51.45[/tex] miles

So,

Yes, if the truck driver  continues at the same speed, she will make it to the location in the next  hour such that she only has 51.45 miles to go.

Option A is correct

We want to see if the truck driver has enough speed to reach the destination or not. The correct option is A "Yes, she only has 51.45 miles to go."

So we know that she needs to travel a total distance of 230.2 miles.

Now, remember the relation:

Speed*time = distance.

And she travels at an average speed of 55 miles per hour for 3.25 hours, so she traveled a distance of:

(55 mi/h)*3.25 h = 178.75 mi

Then the remaining distance is just:

230.2 mi - 178.75 mi = 51.45 mi

Will she make it in the next hour?

Well, yes, she travels at 55 miles per hour and she has 51.45 miles remaining, so yes, she will make it.

The correct option is A: "Yes, she only has 51.45 miles to go."

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a x 10b

Follow the steps below to see how 843 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 843New Number: 8.43Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.43Decimal Count:12

There are 2 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.43

b = 2

Now the whole thing:

8.43 x 102

Step 4

Check your work:

102 = 100 x 8.43 = 843

More Scientific Notation Examples

8418428448458.41 x 1028.42 x 1028.44 x 1028.45 x 102

Answer:

y = - 2x - 7

Step-by-step explanation:

Step 1:

y = mx + b      Slope Intercept Form

Step 2:

y = - 2x + b      Input Slope

Step 3:

- 3 = - 2 ( - 2 ) + b    Input x and y

Step 4:

- 3 = 4 + b       Multiply

Step 5:

- 7 = b      Subtract 4 on both sides

Answer:

y = - 2x - 7

Hope This Helps :)

m = -2

y = mx +c

-3= -2(-2) +c

-3 =4 + c , c = -7

Thus, equation is y = -2x-7

Answer:

4 ·2i

Step-by-step explanation:

√2 + √-18

√2 + √9·-2

√2 + 3√-2  

(3 +1 )(√2 ·√-2) = 2i

4 · 2i

Answer:

12

Step-by-step explanation:

divide 48 by 4 and the answer should be 12, that is the cost per ticket.

Answer:

Each ticket cost $12

Step-by-step explanation:

So we can say:

4x = $48

we can divide each side by 4 and get:

x = $12

Hope that helps!!

Answer:

-1

Step-by-step explanation:

they gave you the value to x so all you have to do is plug it in

h(-2) = -2 (-2) - 5

h(-2) = 4 - 5

h(-2) = -1

Substituting the value, x = - 2 into the function, the value of the function h(-2) is - 1

Given the function :

At h(-2) :

h(-2) = - 2(-2) - 5

h(-2) = 4 - 5

h(-2) = - 1

Therefore, the value of h(-2) is - 1

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