1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oxana [17]
3 years ago
6

1) "teacher" wants to build a rectangular dog bowl stand. The top of it will have a perimeter 55 1/2 inches. The length is twice

as long as the width. What are the dimensions (length and width) of the top of the dog bowl stand? (Note: Your answer should be in fraction form, not a decimal.) 2) During their basketball game, "teacher 1" shoots twice as many airballs as "teacher 2". "teacher 3" shoots 4 airballs less than "teacher 2". If they shot 24 airballs together, how many airballs did each teacher shoot?
Mathematics
1 answer:
Mice21 [21]3 years ago
7 0

Answer:

1)

L=18 \frac{1}{2} in

W= 9 \frac{1}{4} in

2)

T_{1}=14 balls

T_{2}=7 balls

T_{3}=3 balls

Step-by-step explanation:

In order to solve this problem, we need to build the equations we need. Since there are two values we want to figure out (length and width) we will then need two equations to solve simultaneously.

First, the problem tells us that the perimeter is 55 1/2 in, which can be rewritten as an improper fraction:

55 \frac{1}{2}= \frac{55*2+1}{2}= \frac{111}{2}

Next, we also know the perimeter of a rectangle is found by using the following formula:

P=2L+2W

where L is the length of the rectangle and W is its width.

So our first equation will look like this:

2L+2W=\frac{111}{2}

Next, the problem tells us that the width of the rectangle is twice its width, so our second equation will look like this:

L=2W

which can be substituted into our first equation:

2L+L=\frac{111}{2}

Now, we can solve this for L, so we get:

3L=\frac{111}{2}

L=\frac{111}{2*3}

L=\frac{111}{6}=18 \frac{3}{6}=18 \frac{1}{2}

so we can now use this information to find its width:

L=2W

\frac{111}{6}=2W

so

W=\frac{111}{6*2}

W=\frac{111}{12}=9\frac{3}{12}=9\frac{1}{4}

2)

When solving this problem it is a good idea to split it into little chunks of information. The first sentence says:

"... "teacher 1" shoots twice as many airballs as "teacher 2"."

This can be translated as an equation like this:

T_{1}=2T_{2}

The next sentence says:

""teacher 3" shoots 4 airballs less than "teacher 2"."

This can be written as an equation like this:

T_{3}=T_{2}-4

and finally, the problem states: "... they shot 24 airballs together,..."

This can be written as an equation like this:

T_{1}+T_{2}+T_{3}=24

so now we can do substitutions. We can take the first and second equations and write them into the third equation so we get:

2T_{2}+T_{2}+T_{2}-4=24

so now we can solve this equation for T_{2}, so we get:

2T_{2}+T_{2}+T_{2}=24+4

4T_{2}=28

T_{2}=\frac{28}{4}

T_{2}=7

and once we got this answer, we can find the remaining two answers:

T_{1}=2T_{2}

T_{1}=2(7)

T_{1}=14

and

T_{3}=T_{2}-4

so we get:

T_{3}=7-4

T_{3}=3

You might be interested in
A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, a
Sedaia [141]
     162
   +207
=   369
     
      
Okay, so it says he descends 285 feet after he's climbed 369 feet. That means he needs to descend a bit more to reach 453 feet, which we'll just call 0 for now. First, we need to do some subtraction:

  369
- 285
=  84  

Okay, we know he needs to descend 84 feet to get to his starting point.
So your answer is C

8 0
3 years ago
chris bought a cup of hot chocolate does his cup probably hold 400 liters or 400 milliliters of hot chocolate
vivado [14]

Answer:

Millileters

Step-by-step explanation:

If it held 400 liters, it would be a pretty gigantic cup

8 0
3 years ago
Read 2 more answers
Slope = -3; y-intercept = 2
Stels [109]

Answer:

y= -3x+2

Step-by-step explanation:

6 0
2 years ago
Ivy invested $150 000 in a savings account that offers to pay simple interest of 0.2% per year. How much interest will she recei
kvv77 [185]

Answer:

The answer is the CD was for 3 years.

Step-by-step explanation:

First, write the equation.

I=Prt

Next, substitute the given values.

$198=$1,200×5.5%×t

Next, write the percent as a decimal.

$198=$1,200×0.055×t

Next, simplify.

$198=$66×t

Then, solve for t.

3=t

8 0
2 years ago
What times what equals 32
Sholpan [36]

4*8=32

or 8*4= 32


I hope that's help .

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is 4.293 in expanded notation
    13·1 answer
  • Which of the following equations is of a parabola with a vertex at (0, -5)?
    10·1 answer
  • Are these all correct?
    11·1 answer
  • I need help on this please!!
    14·1 answer
  • You operate the cash register at diner. A customer gives you $20 bill to pay for his check, which totals$12.19. How much change
    7·1 answer
  • Find the line parallel to y = -3x + 1 that passes through (9, 0). Plls Hurry I'm being timed
    6·1 answer
  • Vera took 10 tests over a time of 5 weeks. After 9 weeks this quarter, how many tests will Vera have taken?
    9·2 answers
  • PLZ HELP FAST (multiple choice)​
    15·2 answers
  • Find the slope of the line graphed below.
    13·1 answer
  • How do I find the restrictions on x if there are any? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%20-%201%7D%20%20%3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!