A couple wants to install hardwood into their bedroom. The wood is bought in 0.5 x 5 square foot pieces. They have 422
square feet of floor on which to install the hardwood. How many 0.5 x 5 sections must be purchased?

Answer:

The sum of the reciprocal of two numbers are  

  [tex]\frac{1}{x} + \frac{1}{y}= \frac{15}{16}[/tex]

Step-by-step explanation:

Step(i):-

Let  x , y  are  two numbers

Given data the sum of two numbers = 15

         x + y = 15 ...(i)

The product of two numbers = 16

         x y = 16  ...(ii)

we know that

(x-y)² = (x + y)² - 4 x y

         = (15)²- 4(16)

        = 225 - 64

        = 161

x-y = 12.68 ≅13  ...(iii)

Step(ii):-

We have

                  x + y = 15  ...(a)

                  x -y   = 13  ...(b)

Solving (a) and (b)

                  2x = 27.68

                  x = 13.84

Substitute x = 13.84 in equation (i)

                x + y = 15

              13.84 + y = 15

                         y = 15 - 13.84

                        y = 1.16

Step(iii):-

The positive numbers are x = 13.84 and y = 1.16

The sum of the reciprocal of two numbers are

                      [tex]\frac{1}{x} + \frac{1}{y} = \frac{1}{13.84} + \frac{1}{1.16}[/tex]

                                 = [tex]\frac{15}{16}[/tex]

Conclusion:-

The sum of the reciprocal of two numbers are  

  [tex]\frac{1}{x} + \frac{1}{y}= \frac{15}{16}[/tex]

Answer:

Degree 4

Step-by-step explanation:

Expression:

3x^3 + 3x^2y^2 - y^2​

So the expression has degree 4 as per the highest degree of the terms

Answer:46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

4 times 10 = 40

6 times 1 = 6

40 plus 6 = 46

Answer: 20 quarters and 63 dimes

Step-by-step explanation:

q = number of quarters

3q+3 =number of dimes

0.25q + 0.10 (3q+3) = 11.30

0.25q + 0.30q + 0.30 = 11.30

0.55q + 0.30 = 11.30

0.55q = 11.00

Q = 20 quarters

3q + 3 =

3 (20) +3 =

63 dimes

Answer:

1, 2, 3, 6

Step-by-step explanation:

Answer and explanation:

The political scientist is investigating "proportion of adult residents

..." and so the subjects of his study can only be found among adults. The units are therefore all adults, including registered adults. The frames can include census data showing adults in a particular area, telephone directories, registered voters in the area etc. If the researcher chooses to use personal interview in collecting data for his research, he would easily get response and also be able to explain questions out more, also there is the benefit of less corrupted data. Using telephone interview would save the researcher and respondents costs as there is no need to travel and the researcher could still explain out questions properly. If the researcher chooses to collect data through mailing respondents, there is alot more flexibility as respondents can reply at their convenience and when they are ready, also subjects may wish to not disclose identity with this data collection method

Answer:

C. 72

Step-by-step explanation:

-3 x -2 = 6

6 x 3 = 18

18 x 4 = 72

Answer:

Step-by-step explanation:

this question involves negative and positive

so simple

Answer:

We use the rule of three

7 miles ---------------> 60 minutes

So x ------------------> 24 minutes

So x= (24 minutes × 7 miles )/60 minutes .

We simplify by 《minutes》 because it's in the numerator and the denominator .

So x= (24×7 miles )/60

x = 168 miles /60

x=2,8 miles

So Miguel runs 2,8 miles in 24 minutes.

Answer:

reciprocal of 3 is 1/3..

Answer:

0.33333333333

Step-by-step explanation:

Answer:

2 2/3 (D)

Step-by-step explanation:

Answer:

$7.50 (paid per hour) times 70 hours (times 2 of 35 hours) = $525 gross pay

Step-by-step explanation:

525 is the gross pay.

Hello there! :D

We know that Caleb has two options:

Let's say that Option A is taking the new job, and Option B is solving for the new one. We know that Option A will leave him with $28,000. Let's do some math to see how much he would make with Option B.

We can do this by calculating how many ours he would work in one year and multiplying that by $11.15.

So, we have 44 hours a week. There are 52 weeks in a year.

52*44= 2288

Now, we can mutltiply that by his hourly wage.

2288*11.15=$25,511.2

Let's see how much time it would take to make the same amount of money since he is allowed to work overtime at half price:

Subtract the amount he makes in Option A by Option B:

28,000-25,511.2= 2488.8

Now we need to divide his hourly wage in half, because he gets paid half as much for overtime (I am assuming the wording is weird here).

11.15/2= 5.575

Now we can find out how many hours he needs to do per year to make the same amount.

2488.8/5.575=432.834 hours

Per week that is 8.3 extra hours! (Sounds like a lot of work)

If I was Caleb, I would take the new job offer, because it is unlikely that he will make much more in his current job.

I hope this helped you and that you have a wonderful day,

Kai xx

Answer:

The point at (-7, -5) = a

The point at (9, 3) = b

The point at (-3, 7) = c

The "a" point of the triangle is 12 units away from the center point.

So, 12 x 1/4

=> 12/4

=> 3

So, the "a" point of the dilated figure is  3 units left from the center.

=> So, the dilated "a" point is at (2, -5)

The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.

=> 8/4 = 2

So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.

=> So, the dilated "b" point is at (6, -3)

The "c" point is 12/8 units away from the center point.

=> 12/8 x 1/4

=> 3/2

So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.

=> So, the dilated "c" point is at (3, -2)

The coordinates after the dilation of 1/4 are A'(2,-5), B'(6,-3), and C'( 3,-2) and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the graph the image of the figure after a dilation with a scale factor of 1/4  centered at  (5, -5):

Step 1 - According to the given graph, the coordinates of the triangle are A(-3,7), B(-7,-5), and C(9,3).

Step 2 - According to the given data, the dilation factor is 1/4.

Step 3 - The distance of the center from point A is 12 units.

[tex]=\dfrac{1}{4}\times 12[/tex]

= 3

So, A'(2,-5).

Step 4 - The distance of the center from point B is 8 units.

[tex]=\dfrac{1}{4}\times 8[/tex]

= 2

So, B'(6,-3).

Step 5 - The distance of the center from point C is 12/8 units.

[tex]=\dfrac{1}{4}\times \dfrac{12}{8}[/tex]

[tex]=\dfrac{3}{2}[/tex]

So, C'( 3,-2).

For more information, refer to the link given below:

https://brainly.com/question/2856466

Answer:

[tex]\Large \boxed{\frac{42}{23}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{21}{40} \div \frac{23}{80}[/tex]

Performing reciprocal of the second fraction.

[tex]\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}[/tex]

Multiplying both fractions.

[tex]\Rightarrow \displaystyle \frac{1680}{920}[/tex]

Simplifying the fraction.

[tex]\Rightarrow \displaystyle \frac{42(40)}{23(40)}[/tex]

[tex]\Rightarrow \displaystyle \frac{42}{23}[/tex]

Answer:

17 feet

Step-by-step explanation:

the seagull is originally 53 feet above water and dives 70 feet down. so 53-70=-17. 17 feet below water.

Answer:

5.6

Step-by-step explanation:

All you need to do if solve for the cube root of 176

Volume cube = a^3

3root(176) = 5.604

I hope this helps!

-TheBusinessMan

Answer:

5.6 m

Step-by-step explanation:

The volume of a cube can be found using the following formula.

[tex]v=s^3[/tex]

We know the volume of the cube is 176 m³, so we can substitute that value in for v, or volume.

[tex]176 m^3=s^3[/tex]

We want to find the side length. Therefore, we must get the variable, s, by itself on one side of the equation.

s is being cubed. The opposite of cubed is the cube root. So, take the cube root of both sides of the equation.

[tex]\sqrt[3]{176m^2} =\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{176m^2} =s[/tex]

[tex]5.60407866 m =s[/tex]

The question tells us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 6 in the tenth place.

[tex]5.6m \approx s[/tex]

The side length of the cube is about 5.6 meters.

Answer:

a

   POPULATION : The population is the surfers , swimmers, snorkelers and spear-fishermen in America

      SAMPLE  : The 1000 records of shark attacks selected

     VARIABLE FOR STUDY:  580 surfers

Step-by-step explanation:

Generally the population is the surfers , swimmers, snorkelers and spear-fishermen in America

  This is because it is the entire pool from which a statistical sample is drawn

 Generally the sample  is  the 1000 records of shark attacks selected

This is because this the number drawn from the population for statistical testing also this  contain the characteristics of the population

  Generally the variable  for study is 58%  of  1000 =  580 surfers

This is  because the this  580 surfer is the major focus of the Researchers study

Answer:

Step-by-step explanation:

Using the formula for calculating the speed expressed as;

Speed = Distance covered/Time taken

If I ride in a car for 225 miles at an average speed of 60 miles per hour then the distance covered = 225 miles and the speed of the car = 60miles/hour

Substituting the given parameters into the formula above to get the time taken;

60 = 225/time

cross multiply

60*time = 225

Divide both sides by 60;

60*time/60= 225/60

Time = 3.75 hours

Hence the amount of hours taken during the trip is 3.75hours

Answer:

sqrt(157) ft is the length of the diagonal

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal

a^2 + b^2 = c^2

6^2 + 11 ^2 = c^2

36+ 121 = c^2

157 = c^2

Take the square root of each side

sqrt(157) = sqrt(c^2)

sqrt(157) = c

Answer:

sqrt(157) ft is the length of the diagonal

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal

a^2 + b^2 = c^2

6^2 + 11 ^2 = c^2

36+ 121 = c^2

157 = c^2

Take the square root of each side

sqrt(157) = sqrt(c^2)

sqrt(157) = c

Answer:

d = - 6

Step-by-step explanation:

56 = -8d +8

-8 .          -8

48 = -8d

__ .    __

-8       -8

-6  = d

Answer:

19m - 10

Step-by-step explanation:

Order of Operation: BPEMDAS

Step 1: Write out equation

5(3m - 2) + 4m

Step 2: Distribute parenthesis

15m - 10 + 4m

Step 3: Combine like terms

19m - 10

Answer: (36 - 1) ÷ (3 + 2) + 13 = 20

Step-by-step explanation:

PEMDAS rule calls for parenthesis to be solved first, then exponents, then multiplication or division then addition or subtraction depending on which comes first in the equation.

Using the PEMDAS rule the 20 can be gotten to if the equation is expressed as follows;

(36 - 1) ÷ (3 + 2) + 13 = 20

The parenthesis will be solved first;

35 ÷ 5 + 13 = 20

The division will be done first;

7 + 13 = 20

Then the addition;

7 + 13 = 20

Answer:

simplest form:

[tex]\frac{33 x}{35}[/tex]

Answer:

(a) The probability that fewer than 3 components will fail is  0.8392.

(b) The mean likely number of failures is 1.44.

Step-by-step explanation:

We are given that a complicated mechanical system contains 8 components. If there is an 18% chance that each component will fail during processing, and components fail independently of each other.

Let X = Number of components fail during processing

The above situation can be represented through the binomial distribution;

[tex]P(X=r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ;x=0,1,2,.....[/tex]

where, n = number of samples (trials) taken = 8 components

            r = number of success = fewer than 3 components will fail

           p = probability of success which in our question is the probability

                 that each component will fail during processing, i.e. p = 18%

SO, X ~ Binom(n = 8, p = 0.18)

(a) The probability that fewer than 3 components will fail is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= [tex]\binom{8}{0}\times 0.18^{0} \times (1-0.18)^{8-0}+ \binom{8}{1}\times 0.18^{1} \times (1-0.18)^{8-1}+ \binom{8}{2}\times 0.18^{2} \times (1-0.18)^{8-2}[/tex]

= [tex]1 \times 1 \times 0.82^{8}+ 8 \times 0.18^{1} \times 0.82^{7}+28 \times 0.18^{2} \times 0.82^{6}[/tex]

= 0.8392

(b) The mean likely number of failures is given by the following formula;

      Mean of X, E(X) = n [tex]\times[/tex] p

                                 = [tex]8 \times 0.18[/tex] = 1.44

Hence, the mean likely number of failures is 1.44.

Step-by-step explanation:

11b + 5 = 38

11b = 33

b = 3 is the answer

Answer:

2 5/7

Step-by-step explanation:

Set up the division problem in long division format. Divide 19 by 7. Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (2) by the divisor 7. Subtract 14 from 19. Then you have your answer of 2 5/7.

hope this helps :3

Answer:

5.89 mL

Step-by-step explanation:

doctor prescribed = 0.75 ml (2x a day) = 1.5 mL

pharmacist labeled = 3/4 teaspoon  (0.75 teaspoon (2x a day) = 1.5 teaspoon

                     convert 1.5 teaspoon to mL = 7.39 mL

therefore,

the excess medication given in one day = 7.39 mL - 1.5 mL = 5.89 mL

Answer:

[tex]\Huge \boxed{\mathrm{5.89\ ml}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The doctor prescribed a baby 0.75 ml of medication twice a day.

[tex]0.75 \cdot 2 = 1.5[/tex]

The baby should take 1.5 ml of medication in one day.

The pharmacist labeled the bottle with instructions to administer 3/4 teaspoon twice a day.

[tex]\displaystyle \frac{3}{4} \cdot 2 = 1.5[/tex]

The instructions told to take 1.5 teaspoons of medication in one day.

[tex]\sf 1.5 \ teaspoons = 7.39 \ ml[/tex]

The excess medication given in one day (in ml):

[tex]\Longrightarrow 7.39-1.5 \\ \\ \\ \Longrightarrow 5.89[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

D) P = 80 feet, A = 360 square feet

Step-by-step explanation:

Perimeter=15+20+17+8+20=80 feet

Area=(15*20)+(1/2*8*15)=300+60=360 square feet

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation: