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pogonyaev
3 years ago
11

Elaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 in wide 12 in long and 5 cm deep. ( 1 g

allon=231 in^3, 1 inch=2.54cm)
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

b. The paint will not fill the tray by 5.22 in3.

Step-by-step explanation:

The computation is shown below:

First we have to determine the volume of tray by using the following equation

V = L \times W \times H

Now transform this from dimensions to inches

Now  putting the values,

V = 10\times12\times (5\times(\frac{1}{2.54})) \\\\As\ 5 cm = 5 \times (\frac{1}{2.54})

the volume would be equivalent to the

236.22 inches^3

Now 1 gallon is 231 inches^3

So, the remaining would be

= 236.22 - 231

= 5.22^3

Therefore the correct option is b.

Hence, all the other options are wrong

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use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
daser333 [38]

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

  • We are given a quadratic function.
  • A polynomial equation of degree two in one variable is a quadratic equation.
  • The function given to us is :
  • y = x² - 5x - 36
  • We need to find the solution of the quadratic function.
  • To find the roots, let y = 0.
  • x² - 5x - 36 = 0
  • Use the quadratic formula.
  • In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
  • x = [-b±√b²-4ac]/2a
  • x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
  • x = (5 ± √25 + 144)/2
  • x = (5 ± √169)/2
  • x = (5 ± 13)/2
  • x = 9 or x = -4

To learn more about functions, visit :

brainly.com/question/12431044

#SPJ1

3 0
1 year ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2
alisha [4.7K]

\Delta=5^2-4\cdot1\cdot7=25-28=-3

\Delta so 0 solutions.

5 0
3 years ago
Read 2 more answers
Factor the expression completely:<br> x⁴ + 27x
il63 [147K]
I dont know if this is right but here u goo

7 0
3 years ago
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if the perimeter of the blanket has to be at least 280 inches is there egnough room for all three of them to cuddle up under the
dezoksy [38]

Answer:

hope it helps

Step-by-step explanation:

angle < EDG = 90°

5x + 4x = 90

9x = 90

x = 90/9

x = 10°

which means

5x = 50°

4x = 40°

---------------------------

sice EF and DG are parallel lines

EHD = 40°

DHG is 90°

then HGD = 50°

-----------------------------------------

ED = 64 x2 (2 sides) = 128 inches

DG = 84 x2 (2 sides) = 168 inches

total perimeter = 128 + 168 = 296 inches

and yes. theres enough room for all 3 to cuddle

5 0
3 years ago
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