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zheka24 [161]
3 years ago
10

When Nick shoots a basketball, he either sinks the shot or misses. For each shot Nick sinks, he given 5 points by his father. Fo

r each missed shot Nick's Dad takes 2 points away. Nick attempts a total of 28 shots and ends up with zero points (i.E., he breaks even). How many shots did Nick sink?
Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

The number of shots Nick sunk was 8

Step-by-step explanation:

Let

x -----> number of shots that Nick sunk.

y -----> number of shots Nick missed

we know that

x+y=28

y=28-x -----> equation A

5x-2y=0 ----> equation B

substitute equation A in equation B and solve for x

5x-2(28-x)=0

5x-56+2x=0

7x=56

x=8

Find the value of y

y=28-x ----> y=28-8=20

therefore

The number of shots Nick sunk was 8

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3 years ago
Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%. He sells each candy var for 175% of what he paid before tax. ho
Zepler [3.9K]

Answer:

Cost price of each candy = $0.80, Selling price of each candy = $1.40

Step-by-step explanation:

Given:

Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%.

He sells each candy var for 175% of what he paid before tax.

Question asked:

How much does he buy each candy bar for ?

How much does he sell one for ?

Solution:

<u>By unitary method:</u>

Cost of 50 packs of candy bars = $40

Cost price of 1 pack of candy bars = \frac{40}{50} =\$0.8

Cost price of each candy = $0.80

Thus, he buy each candy bar for $0.80

Now:-

As he sells each candy var for 175% of what he paid before tax:-

Selling price of each candy = 0.80 \times 175%

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3 years ago
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What is the most precise classification of the quadrilateral formed by connecting in order the midpoints of the figure below? Sh
AlekseyPX

Answer:

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Step-by-step explanation:

The given trapezoid has vertices at M(-4,0), J(-2,4), K(2,4), and L(4,0).

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To obtain the midpoint of MJ:

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Similarly, the midpoint of of JK is B=(0,4), the midpoint of  KL is C=(3,2), and the midpoint of LM is D=(0,0).

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The slope of CD= \frac{0-2}{0-3}=\frac{2}{3}

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We can see that the slope of the opposites sides are parallel, CD is parallel to AB and AD is parallel to BC.

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Obviously the side lengths are equal since we connected all midpoints.

The parallelogram is a rhombus.

7 0
3 years ago
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