Answer:
320 cups of soup
Step-by-step explanation:
2/5= x/800
2/5 =.04
800*.04 =320 x=320
2/5 = 320/800
2/5 =0.4 is equivalent to 320/800=0.4
Answer and Step-by-step explanation:
We are given the word format of an equation.
Let's right it out in numerical form.

The first part says One fourth the sum of x and 10
The sum of x and 10 would be shown as x + 10, and one fourth of that means that
is multiplying (x + 10).
In this case, identical would mean equal to.
So,
(x + 10) would be = to something.
It says that it is identical to x minus 4 (x - 4).
<u> is the equation.</u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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Given:
A figure ABCP.
To find:
The measure of CP.
Solution:
In triangles ABP and CBP,
(Given right angles)
(Given)
(Common side)
Now,
(By AAS property of congruence)
We know that the corresponding parts of congruent triangles are congruent.


Therefore, the measure of CP is 8 units.
0.20(150) = 30 basketballs were in the shipment. Since the shipment presumably comprised only footballs and basketballs, the remainder of the shipment must consist of footballs.
150 - 30 = 120 footballs were in the shipment.