This is a series of 3 questions please answer :)

Mathematics

2 answers:

SSSSS [86.1K]3 years ago

6 0

Answer: The questions are answered.

Step-by-step explanation: The calculations are done as follows.

(i) Since I use 8 fluid ounces of fruit juice in making 64 fluid ounces of fruit punch, so percentage of fruit juice used is

$p_1=\dfrac{8}{64}\times 100\%=\dfrac{100}{8}\%=12.5\%.$

Also, a fruit punch we can buy from a store has only 10% of real fruit juice, so my fruit punch has higher percent of fruit juice than that available in the store.

(ii) I make 36 out of 80 shots while shooting baskets at a basketball hoop, so the percentage of shots is

$p_2=\dfrac{36}{80}\times 100\%=\dfrac{36\times 5}{4}\%=45\%.$

Since my friend makes 43.75% of the shots, so I made a higher percentage of shots.

(iii) I find 25 out of 40 gems in a video game, so percentage of hidden gems that I found is

$p_3=\dfrac{25}{40}\times 100\%=\dfrac{25\times 5}{2}\%=62.5\%.$

Since at least 60% of hidden gems must be found to earn a bonus, so definitely I will earn a bonus here.

Thus, all the three questions are answered.

Anastasy [175]3 years ago

5 0

1. The first one I think you would divide 8 from 64 n get 8 so thats 8%. Answer to that would be the Store.

2. You would!! 56%

3. Multiply 2.5 to 40 and 25. You need a denominator of 100. 62.5/100
So yes you did find at least 60%

I think I did this right. Hope it helps!

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A sequence is defined by the function F(n) = F(n -1) +5, where n represents the number of the term for n >1, and f(1) = -4. W

Anit [1.1K]

Answer:

4th option

Step-by-step explanation:

Using the recursive rule and f(1) = - 4 , then

f(2) = f(1) + 5 = - 4 + 5 = 1

f(3) = f(2) + 5 = 1 + 5 = 6

f(4) = f(3) + 5 = 6 + 5 = 11

The first 4 terms are - 4, 1, 6, 11

5 0

2 years ago

This should be easy for you <br> Please help me

Alik [6]

Explanation:

a. The line joining the midpoints of the parallel bases is perpendicular to both of them. It is the line of symmetry for the trapezoid. This means the angles and sides on one side of that line of symmetry are congruent to the corresponding angles and sides on the other side of the line. The diagonals are the same length.

b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.

c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.

_____

For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.