Allen is building bird houses that require 1/2 feet long. How many pieces that are exactly 1/2 feet long can be made from a board that is 8 1/4 feet long?

QUESTION POSTED AT 15/01/2020 - 03:11 AM

Answered by admin AT 15/01/2020 - 03:11 AM

There are 2 halfs in 1 and 1/4 can't make a half so the answer is..

16
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Related questions

It takes Joaquin 1/5 hour to hike 1/4 mile. What is Joaquin's unit rate, in miles per hour?

(1/5) / (1/4) = x/1
cross multiply
1/4x = 1/5
x = 1/5 * 4
x = 4/5....he hikes 4/5 of a mile per hr

ANSWERED AT 29/01/2020 - 05:38 PM


QUESTION POSTED AT 29/01/2020 - 05:38 PM

A=1/2(B+b)h solve for b

Are you sure the h is after the parentheses or are the after the 1/2

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

Jimmy has a diecast metal car that is a scale model of an actual race car. If the actual length of the car is 10 feet 6 inches and the model has a length of 7 inches, what is the scale factor of the model to the actual car?

10 feet 6 inches = 126 inches. Length of the car is 126 inches and the model length is 7 inches. 
126 : 7 = 18 
The scale factor of the model to the actual car is  1 : 18.

ANSWERED AT 29/01/2020 - 05:21 PM


QUESTION POSTED AT 29/01/2020 - 05:21 PM

Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made. −7x + 25 = 48 Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven

She did everything correct in step 1 and 2 
Until step 3 she took a wrong turn. 
She wrote seven times x over seven = twenty-three over 7

When she should have wrote..
negative seven times x over negative seven = twenty-three over negative seven

So her answer was 
23/7 
while it should have been a negative. ->   -23/7 

Good Luck! :) 

ANSWERED AT 29/01/2020 - 05:14 PM


QUESTION POSTED AT 29/01/2020 - 05:14 PM

15,000 feet to kilometers

4,572 is the answer.

ANSWERED AT 29/01/2020 - 05:12 PM


QUESTION POSTED AT 29/01/2020 - 05:12 PM

The product of 3/8 and 1/2

 \frac{3}{8} * \frac{1}{2}
= \frac{3}{16}

ANSWERED AT 29/01/2020 - 04:53 PM


QUESTION POSTED AT 29/01/2020 - 04:53 PM

Heather is training for a long-distance run. her data points listed below represent the days of practice, x, and the number of miles run, y.(1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11)use the equation to interpolate the value and estimate the distance that she could have run on day 3. round to the nearest tenth of a mile.

Interpolation equation
Poit 1: (a,b)
Point 2: (c,d)
Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)
(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2)  =  (y - 4.2) / (3 -2)

y =  [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

 




ANSWERED AT 29/01/2020 - 04:51 PM


QUESTION POSTED AT 29/01/2020 - 04:51 PM

A sketch of the roosevelt room in the white house is drawn to 1/15 scale. the sketch shows a room that is 3 feet by 4.5 feet what are the actual dimensions of the room

Answer: 45 feet by 67.5 feet.

Step-by-step explanation:

Given: To draw the sketch of the Roosevelt room in the white house=\frac{1}{15}

The dimensions of the sketch is 3 feet by 4.5 feet .

To find the actual dimensions of the room multiply the dimensions of the sketch by the reciprocal of scale factor . [because to sketch we need to multiply scale factor to the actual dimensions]

The reciprocal of the scale factor = 15

3 feet → 3\times15=45 feet

4.5 feet → 4.5\times15=67.5 feet

Hence, The dimensions of the actual dimensions of the room is 45 feet by 67.5 feet.

ANSWERED AT 29/01/2020 - 04:47 PM


QUESTION POSTED AT 29/01/2020 - 04:47 PM

Find the common ratio for the following sequence. 64, 16, 4, 1, ... -4 -1/4 1/4 4

Answer:

\frac{1}{4}

Step-by-step explanation:

THe sequence 64,16,4,1 as you can see it´s actually going down or decreasing, so the ratio should be a fraction, in order to find that you just have to pair two terms that are next to eachother in the sequence to find the fraction, let´s try it with the first two: 64 and 16:

\frac{16}{64} =\frac{8}{32}=\frac{4}{16}=  \frac{2}{8}=\frac{1}{4}

So the ratio is 1/4. You can confirm the ratio by using other numbers in the sequence, like the last two:

\frac{1}{4}

This is the ratio directly.

ANSWERED AT 29/01/2020 - 04:46 PM


QUESTION POSTED AT 29/01/2020 - 04:46 PM

A person must be at least 42 inches tall to ride the Roller Coast at an amusement park. Let h represent the height of any person who meets the requirement. Write an inequality that describes h. A.h<=42 B.h<=-42 C.h>=42 D.h>=-42

The meaning of the words "at least" mean that the value should be equal or greater than the certain number given. Let h be the height, the inequality that best represents the condition is,
                                    h ≥ 42
This is equal to choice letter C. 

ANSWERED AT 29/01/2020 - 04:38 PM


QUESTION POSTED AT 29/01/2020 - 04:38 PM

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long? a) 9 units, 12 units b) 11 units, 10.2 units c)4.9 units, 15.8 units d)4.9 units, 14.2 units e)5.2 units, 14.1 units

The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.

ANSWERED AT 29/01/2020 - 04:36 PM


QUESTION POSTED AT 29/01/2020 - 04:36 PM

A football is kicked into the air from an initial height of 4 feet. The height, in feet, of the football above the ground is given by s (t)=-16^2+50t+4, where t is time, in seconds, and t>=0. At what time will the football be 25 feet above the ground? 3.625 seconds 3.20 seconds 0.5 seconds or 3.625 seconds 0.5 seconds or 2.625 seconds

To answer the question above, substitute the given value of height. 
                                          25 = -16x²  + 50t + 4
Solving the following equation by the use of quadratic formula,
                             x = (-b +/- sqrt (b² - 4ac)) / 2a
Subsituting the known values of a, b, and c
                             x = (-50 +/- sqrt (50² - 4(-16)(-21)) / 2x-16
The values of x are 0.5 and 2.625. Therefore, the answer is the fourth choice. 

ANSWERED AT 29/01/2020 - 04:36 PM


QUESTION POSTED AT 29/01/2020 - 04:36 PM

One liter of paint covers 100 square feet. a wall that measures 32 feet by 16 feet is going to be painted. a. about how many gallons of paint will it take to paint the whole wall? b. if the paint can only be bought in gallons containers,how many containers will be purchased? c. how many liters of paint will be remaining in the container?

Find the area (A) of the rectangular wall by multiplying the dimensions,
                                       A = L x W
Substituting,
                                       A = (32 ft) x (16 ft) = 512 ft²
a.  (512 ft²) x (1 L / 100 ft²) x (1 gal/ 3.79 L) = 1.35 gal
b. The nearest whole number that is greater than 1.35 is 2. So, 2 containers should be bought.
c. There will remain an amount of 0.65 gallon which is equal to 2.4635 L. 

ANSWERED AT 29/01/2020 - 04:32 PM


QUESTION POSTED AT 29/01/2020 - 04:32 PM

Which test point holds true for 3/2y - 2x>1? A. (1/4, 1) B. (4, 1) C. (1, 1/4) D. (1, 0) E. (1/4, 3/4)

There exists a question that instead of >, the symbol used is ≥. Substitute the value of abscissas and ordinates of the points to x and y, respectively.

A. (1/4, 1)      (3/2)(1) - 2(1/4) = 1              TRUE
B. (4, 1)         (3/2)(1) - 2(4) = -6.5             FALSE
C. (1, 1/4)      (3/2)(1/4) - 2(1) = -1.625      FALSE
D. (1, 0)         (3/2)(0) - (2)(1) = -2              FALSE
E (1/4, 3/4)    (3/2)(3/4) - (2)(1/4) = 0.625  FALSE

Thus, the answer is letter A. 

ANSWERED AT 29/01/2020 - 04:30 PM


QUESTION POSTED AT 29/01/2020 - 04:30 PM

Please Help!!! I give a medal to anyone to tries!!! 3 party-goers are in the corner of the ballroom having an intense argument. You walk over to settle the debate. They are discussing a function g(x). You take out your notepad and jot down their statements. • Professor McCoy: She says that 2 is a zero of g(x) because long division with (x + 2) results in a remainder of 0. • Ms. Guerra: She says that 2 is a zero of g(x) because g(2) = 0. • Mr. Romano: He says that 2 is a zero of g(x) because synthetic division with 2 results in a remainder of 0.

Well, the way I see it is that both Mr. Romano, and Ms. Guerra are correct but Professor McCoy is incorrect because he said (x+2) when it should be (x-2).


The factor theorem states that:
If f(a)=0, then (x-a) is a factor


The remainder theorem states that:
If (x-a) is a factor of f(x), then f(x) / (x-a)  = 0


So if 2 is indeed a zero of f(x), then a factor must be (x-2) according to the fist which supports Ms. Guerra and also if (x-2) is indeed a factor as Ms. Guerra says then we know that f(x) / (x-a) = 0 which supports Mr. Romano

Professor McCoy is wrong because he used (x + 2) when it should be (x-2). I know this because according to the factor theorem if f(a)=0, then (x-a) is a factor. And the remainder theorem says if (x-a) is a factor of f(x), then f(x)/x-a =0.

ANSWERED AT 29/01/2020 - 04:30 PM


QUESTION POSTED AT 29/01/2020 - 04:30 PM

A football is kicked into the air from an initial height of 3 feet. the height, in feet, of the football above the ground is given by s(t)=-16t^2+35t+3. Where t is time in seconds and t>=0. which is closest to the time when the football will be 20ft above the ground?? A) 2.72 seconds B) 0.73 seconds or 1.46 seconds C) 0.53 seconds D) 0.53 seconds or 2.72 seconds

 For this case we have the following quadratic equation:
 s (t) = - 16t ^ 2 + 35t + 3&#10;
 Where,
 t: time
 s: height of the ball
 By the time the height is 20 feet we have:
 -16t ^ 2 + 35t + 3 = 20&#10;
 Rewriting the polynomial we have:
 -16t ^ 2 + 35t + 3-20 = 0&#10;&#10;-16t ^ 2 + 35t-17 = 0
 Using the quadratic formula we have:
 t =  \frac{-b+/- \sqrt{b^2 - 4ac}}{2a}
 Substituting values we have:
 t = \frac{-35+/- \sqrt{35^2 - 4(-16)(-17)}}{2(-16)}
 Doing the calculations we have the roots are:
 t1 = 0.728&#10;&#10;t2 = 1.46
 Answer:
 
the time when the football will be 20ft above the ground is:
 
B) 0.73 seconds or 1.46 seconds

ANSWERED AT 29/01/2020 - 04:24 PM


QUESTION POSTED AT 29/01/2020 - 04:24 PM

John thunderhawk is making furniture he finds that to design a particular cabitnet and set up his shop to produce it cost $1400. then the labor and supplies to build each one are $400. so his cost,y, for x items is respentented by y=1400+400x. he can sell the cabinets for $600. so his revenue y is repesentive by y=600x. the solution tothis system of equations is his break even piont the point beyond which he starts making profit. How many cabinets must he sell to break even?

The break-even point is the point where the total sales or revenue is equal to the total costs of the process. In this case, the total sales is represented by    y = 1400+400x while the total costs is represented by the equation y = 600x. We equate the two equations 1400 + 400x = 600 x to get the number of cabinets to be sold. x is equal to 7 cabinets. The answer is 7 cabinets. 

ANSWERED AT 29/01/2020 - 04:22 PM


QUESTION POSTED AT 29/01/2020 - 04:22 PM

Can some one help me please If the patient has to be administered a dosage of 2 tablets every 6 hours for 7 days, what is the number of tablets required for the prescribed dosage? so i knw the the conversion factor that describes the number of tablets taken for every 6 h. is 2 tablets/6h and The dose has to be administered for a "full treatment" spanning 7 days. The conversion factor that determine the number days in a full treatment is 7 days/1full treatment but now idk what to do?

There are 24 hours in a day. For 7 days there will be 168 hours in total. Divide this number of hours by 6 to determine the number of times that the patient would have to take tablets. 
                                     (168 / 6) = 28 times
Each time, the patient is to take 2 tablets. Therefore, the number of tables for this prescription is 56.

ANSWERED AT 29/01/2020 - 04:20 PM


QUESTION POSTED AT 29/01/2020 - 04:20 PM

PLEASE HELP ! Fill in the blank. The light from a lamp casts a shadow of a man standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50. To the nearest foot, the lamppost is _____ feet tall.

Answer: Approximately 24 feet.

Step-by-step explanation:

Let line segment AB represents the length of the lamppost (In which A shows the top), CD shows the height of the man ( C shows his head ) and E represents the tip of the shadow.

Hence, According to the question,

AD = 15 feet, DE = 5 feet and ∠ E = 50

By the below diagram,

\frac{AB}{AE}=tanE

\frac{AB}{AD+DE}=tanE

\frac{AB}{15+5}=tan 50^{\circ}

\frac{AB}{20}=tan 50^{\circ}

AB=20\times tan 50^{\circ} = 23.8350718519\approx 24

Thus, the approximately length of the lamppost = 24 feet.

ANSWERED AT 29/01/2020 - 04:18 PM


QUESTION POSTED AT 29/01/2020 - 04:18 PM

P is the probability of a certain event. Which of the following indicates that P is certain to happen? A.P=0 B.P=1/2 C.P=1 D.P=100

Note for probability, if it will never happen the P = 0. If it must happen P = 1.

So certain to happen:

C. P=1

ANSWERED AT 29/01/2020 - 04:18 PM


QUESTION POSTED AT 29/01/2020 - 04:18 PM

The time required to finish a test is normally distributed with a mean of 60 minutes and a standard . deviation of 10 minutes. What is the probability that a student will finish the test in less than 70 minutes?

The probability that a student will finish the test in less than 70 minutes would be 100%-32%/2 = 84%. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

ANSWERED AT 29/01/2020 - 04:17 PM


QUESTION POSTED AT 29/01/2020 - 04:17 PM

The density of a fish tank is 0.3fish over feet cubed. There are 15 fish in the tank. What is the volume of the tank? 5 ft3 45 ft3 50 ft3 90 ft3

The population density (d) of the fish in the tank is the number of fishes (n) in a given volume (v) 
                                        d = n / v
The volume is the quotient when n is divided by d. Substituting the known values,
                                 v = n / d  = 15 fish / 0.3 fish over ft³
Thus, the volume of the tank is 50 ft³.

ANSWERED AT 29/01/2020 - 04:17 PM


QUESTION POSTED AT 29/01/2020 - 04:17 PM

A credit card issuer charges an APR of 13.99%, and its billing cycle is 30 days long. What is its periodic interest rate? A. 14.37% B. 1.15% C. 0.97% D. 11.43%

A credit card issuer charges an APR of 13.99%, and its billing cycle is 30 days long its periodic interest rate would be 1.15%. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

ANSWERED AT 29/01/2020 - 04:15 PM


QUESTION POSTED AT 29/01/2020 - 04:15 PM

The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet? A. 7x – 15 B. 10x – 15 C. 10x – 8 D. 7x – 8

The area of a rectangle is the product of its length and its width. It is expressed as:

Area = l x w

We use this equation, to solve this problem.

Area = l x w
Area = (2x – 3) x 5
Area = 10x - 15

Therefore, the correct answer is option B.

ANSWERED AT 29/01/2020 - 04:15 PM


QUESTION POSTED AT 29/01/2020 - 04:15 PM