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
vitfil [10]
3 years ago
13

Kate has two lengths of ribbon. the pink ribbon is 4 6/12 feet long, and the purple ribbon is 2 4/12 feet long. how much ribbon

does kate have in all?
Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0
Data:
<span>Kate has two lengths of ribbon
pink ribbon = </span>4 \frac{6}{12} \;feet
purple ribbon = 2 \frac{4}{12} \;feet

<span>How much ribbon does kate have in all?
pink ribbon + purple ribbon

Solving:
</span>4\frac{6}{12} + 2\frac{4}{12} =  \frac{12*4+6}{12} + \frac{12*2+4}{12} =  \frac{48+6}{12} + \frac{24+4}{12} =  \frac{54}{12} + \frac{28}{12} =  \frac{82}{12} =
\frac{82}{12} \:simplify\: \frac{\div2}{\div2} =  \boxed{\boxed{\frac{41}{6} \:or\:6 \frac{5}{6} }}\end{array}}\qquad\quad\checkmark
<span>
Answer:
</span><span>Kate has it all </span>6 \frac{5}{6} of ribbons
You might be interested in
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water you
NARA [144]

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

6 0
3 years ago
What is the square root of 50x^4
love history [14]

Answer:

5x²√2

Step-by-step explanation:

√50x^{4}

The <em>square root of x^4 is x²</em>.

The <em>square root of 50 is 5√2</em>.

Multiplying those two gives us 5x²√2

6 0
3 years ago
Consider this expression
Sloan [31]

Answer:

\displaystyle \large{(x + 9)(x - 8)}

The value of a is 9 and b is -8

Step-by-step explanation:

\displaystyle  \large{(x + a)(x  + b) =  {x}^{2}  + (a + b)x + ab}

We need to find two numbers that add up or subtract off to 1.

Then we also use the same two numbers that multiply and get -72.

Let's see:-

  • 9 and -8 seem like correct values.

Because 9+(-8) is 9-8 = 1

And 9(-8) is -72.

Therefore:

\displaystyle \large{ {x}^{2}  + x - 72 = (x + 9)(x - 8)}

The value of a is 9 and the value of b is -8 according to form of (x+a)(x+b)

8 0
3 years ago
Read 2 more answers
the number of hours h that it takes for ice to malt varies inversely with the temperature t it takes 3hours for a piece of ice t
Reptile [31]

Answer:

Step-by-step explanation:

Formula

h = k/temp

Givens

h = 4 hours

t = 45 degrees

Solution

3 = k / 45                  Multiply both sides by 45

3*45 = k

k = 135

Problem

what happens when h = 4 hours?

h = 4

k = 135

temp = ?

4 = 135 / temp       Multiply both sides by temp

4temp = 135          Divide by 4

temp = 135 / 4

temp = 33.75

Note that as the time went up, the temperature came down

6 0
2 years ago
What is the surface area of this rectangular pyramid?
Alexxx [7]

Answer:

304m^2

Step-by-step explanation:

First find the surface area of the base by multiplying the length by the width.

(12m) (8m)= 96m^2

Second, find the surface area of the front and back triangles using the formula <em>1/2 (base) (height)</em>. Use the length for the base.

1/2 (12m) (10m)= 60m^2

Next, find the surface area of the side triangles using the formula <em>1/2 (base) (height). </em>Use the width as the base.

1/2 (8m) (11m)= 44m^2

Last, add the surface area of each section. Make sure you add the area of each face.(we only solved for 1 of the front/ back triangles and 1 of the side triangles) To make it easier to understand I wrote out an equation to show how I added the surface areas.

base=a, front/ back triangles= b, side triangles=c

SA= a + 2b +2c  or SA= a +b +b +c +c

Using one of the equations above solve for the total surface area.

SA= (96m^2) + (60m^2) +(60m^2) +(44m^2) +(44m^2)

or

SA= (96m^2) + 2(60m^2) +2(44m^2)

SA=  (96m^2) +(120m^2) +(88m^2)

SA= 304m^2

7 0
2 years ago
Other questions:
  • Which graph shows y &lt; x2 + 1?<br> c.
    10·1 answer
  • My question is, with this type of question, are you supposed to use subtraction instead of addition? Just asking because I had a
    10·2 answers
  • In 10 months 62.6 gallons were used find the unit rate
    10·2 answers
  • helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
    7·2 answers
  • 1.50/ 4 oz<br> ☕️<br> Hhhhhhhhuuuuuuuuuuuuuuuu
    13·1 answer
  • The volume of a cylinder is 81 cm3 if the radius is 3 cm what is the height of the cylinder
    9·1 answer
  • URGENT!!! my question is in the picture brainliest, extra points, i have other questions on my page please answer those too ​
    14·1 answer
  • Which values are solutions of the inequality 5 &lt; y -8<br><br>8 , 9. , 13. , 15. , 20
    9·1 answer
  • A television weighs 50 pounds and a microwave
    12·1 answer
  • Please solve this question faaaast​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!