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9966 [12]
2 years ago
15

Please help!!! thank you so much whoever does!!

Mathematics
2 answers:
klasskru [66]2 years ago
7 0

Answer:

32 lbs

Step-by-step explanation:

Given:

1/4 spicy trail mix

3/8 regular trail mix

20 total mix

Math:

1/4 + 3/8 = 5/8

20/ (5/8) = 32

AleksAgata [21]2 years ago
4 0

Answer:

32 pounds

Step-by-step explanation:

Fraction of supply for regular trail mix= ⅜

Fraction of supply for spicy trial mix

= ¼

=  \frac{2}{8}

We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.

Simplifying the above information into units form:

Total (supply)= 8 units

Regular trail mix= 3 units

Spicy trail mix= 2 units

Raisins used this week

= (3 +2) units

= 5 units

Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.

5 units ----- 20 pounds

Divide both sides by 5 to find how much raisins 1 unit represents:

1 unit ----- 20 ÷5= 4 pounds

Since his supply was 8 units of raisins,

8 units ----- 4(8)= 32 pounds

∴ He had 32 pounds of raisins at the beginning of the week.

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A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time
FinnZ [79.3K]

If the ball was thrown straight up at 24 ft/sec when it was 5 ft above the ground, the ball reached a maximum height of 7.25 m

\texttt{ }

<h3>Further explanation</h3>

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

<h2>D = b² - 4 a c</h2>

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

\texttt{ }

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = \frac{-b}{2a} } }

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

p(t) = 3gt^2 + v_ot + p_o

p(t) = 3(-32)t^2 + 24t + 5

p(t) = -64t^2 + 24t + 5

<u>Asked:</u>

p_{max} = ?

<u>Solution:</u>

<em>At the maximum height , velocity is 0 m/s:</em>

v = \frac{dp(t)}{dt}

v = \frac{d}{dt} ( -64t^2 + 24t + 5 )

v = (-64)(2)t^{2-1} + 24

v = -128t + 24

0 = -128t + 24

128t = 24

t = 24 \div 128

t = 3 \div 16

t = 0.1875 \texttt{ s}

\texttt{ }

p(t) = -64t^2 + 24t + 5

p(0.1875) = -64(0.1875)^2 + 24(0.1875) + 5

p(0.1875) = 7.25 \texttt{ m}

\texttt{ }

<h3>Learn more</h3>
  • Solving Quadratic Equations by Factoring : brainly.com/question/12182022
  • Determine the Discriminant : brainly.com/question/4600943
  • Formula of Quadratic Equations : brainly.com/question/3776858

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

\texttt{ }

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

3 0
3 years ago
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