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
Usimov [2.4K]
3 years ago
11

The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

inches. determine the height of the box
Mathematics
1 answer:
Marina86 [1]3 years ago
4 0

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is 258.75\ in^3.

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

Volume = Length\times height\times width

Substitute all given value in above formula.

258.75 = (h-4)\times h\times 3

Rewrite the equation as:

258.75 = 3h(h-4)

258.75 = 3h^2-12h

3h^2-12h-258.75=0

whole equation divided by 3.

h^2-4h-86.25=0

Use quadratic formula with a = 1, b = -4,c=-86.25

h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put these a, b and c value in above equation.

h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}

h=\frac{4\pm \sqrt{16+345}}{2}

h=\frac{4\pm \sqrt{361}}{2}

h=\frac{4\pm 19}{2}

For positive sign

h=\frac{23}{2}  

h = 11.5 in

For negative sign

h=\frac{-15}{2}

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

You might be interested in
In 1963, the United States Postal Service started using ZIP (Zone Improvement Plan) codes. Each ZIP code is a sequence of five d
bija089 [108]
Here is how you find the number of possible U.S Zip codes. 
<span>Take note of this: There are 10 1 digit numbers: 0,1,2,3,4,5,6,7,8,9.
</span>And we have 5 slots. So in each slot, there can be 10 possible numbers. 
So let's put 10 in each blank slot. 
10, 10, 10, 10, 10.
Therefore, the final answer would be 100,000. There are 100,000 possibilities of different U.S zip codes. Hope this answer helps.
5 0
3 years ago
Please help me out with this problem!!!
Ronch [10]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation is linear and expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given (0, - 2 ) then c = - 2

Calculate the multiplier using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table

m = \frac{1+2}{1-0} = 3, hence

y = 3x - 2 ← equation relating x and y

6 0
3 years ago
I NEED HELP PLEASE ASAP! :)
bonufazy [111]

Answer:

See below.

Step-by-step explanation:

Again, another great question!

This should be under physics, as it involves Work = Force * Distance. As Anne pushes the wheelbarrow with a force of 70 Newtons with respect to an angle of 50 degrees horizontal, the horizontal force is 70( cos 50 ). The distance over which the work is done is 25 meters, so work should be -

Work = ( 70( cos 50 ) )( 25 ),

Work = ( About ) 1124.87 Joules

<u><em>The work done when Anne pushes the wheelbarrow a distance of 25 meters, is 1124.87 Joules</em></u>

6 0
3 years ago
which digit can replace the? to make this number sentence true 736,554 &lt; 7?6,573 &lt; 736,589 only one answer
mars1129 [50]
You need 3 for ? to make this sentence true, because if you place 3 for ?, 736,554<736,573<736,589 makes sense. If you compare the three numbers, 736,554 is the smallest, then 736,573, and 736,587 is the biggest number.
Hope this answered your question!
8 0
3 years ago
Coco needs 150mg of a medication that comes in tablets labelled 100mg each. How many tablets will you give her?
shtirl [24]

Answer:

1.5

Step-by-step explanation:

If 1 tablet is 100mg, and you need 150mg, we set up this equation:

Let x be the number of tablets Coco needs.

x = 150/100

x = 1.5

Therefore, you need 1.5 tablets for the medication.

7 0
2 years ago
Other questions:
  • Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 2, 10
    6·1 answer
  • Fiona divided 3x2 + 5x – 3 by 3x +2. The expression represents the remainder over the divisor. x + 1 + What is the value of a?
    11·2 answers
  • 8. Combine the like terms in this expression: –3x + 2xy + 4y – xy + 2x – 11y
    13·1 answer
  • what is the equation for “the product of a number and 3 is 5 less than the quotient of a number and 4
    14·1 answer
  • Four students each made a list a of prime numbers.
    13·2 answers
  • What is the yintercept of f(x) =(1/2)^x<br> ?
    8·1 answer
  • How can you tell that the inequality 3t+1&gt; 3t + 2
    9·1 answer
  • The system y = 2x + 3 and y = 2x − 1 has how many solutions
    12·2 answers
  • A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from th
    13·1 answer
  • 7 ounce- 4.58$<br> 15 ounce- 6.30$<br> Find the unit rate of both numbers
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!