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3 years ago

Zach got 3 questions wrong on a 40 question test. What percent of the test did he get correct

Mathematics

2 answers:

slava [35]3 years ago

8 0

92.5%
You divide 37 by 40
Then add 100

adelina 88 [10]3 years ago

6 0

0.03 x 40... or its either the other way around like 0.02 x 40 lol

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Bob and Jimmy went to the gym to lift weights. Jimmy lifted twice as much as Bob. Together they lifted 51lbs. How much did each

Darina [25.2K]

I broke it all the way day half of 51 is 25 in a half and half of 25 is 12 in half so if Jimmy lifted twice as much he may have lifted 25 in a half and bob left 12

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3 years ago

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Problems 2.21, 2.22, 2.23

RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

2.21 and 2.23 are proved by contrapositive
2.22 is proved by induction

2.21: If $n^3$ is even, then n is even (By contrapositive)

The contrapositive of the above statement is that:

If n is odd, then $n^3$ is odd

Represent the value of n as:

$n = 2k + 1$ , where $k \ge 0$

Take the cube of both sides

$n^3 = (2k + 1)^3$

Expand

$n^3 = 8k^3 + 6k^2 + 6k + 1$

Group

$n^3 =[ 8k^3 + 6k^2 + 6k] + 1$

Factor out 2

$n^3 =2[4k^3 + 3k^2 + 3k] + 1$

Assume w is an integer; where:

$w =4k^3 + 3k^2 + 3k$

So, we have:

$n^3 =2w + 1$

The constant term (i.e. 1) means that $n^3$ is odd.

Hence, the statement has been proved by contrapositive.

i.e. If n is odd, then $n^3$ is odd

2.22 $3n + 4$ is even, if and only if n is even

We have: $3n + 4$

Assume that: $n = 2k + 2$ for $k \ge 0$

So, we have:

$3n + 4 = 3(2k + 2) + 4$

Open bracket

$3n + 4 = 6k + 6 + 4$

$3n + 4 = 6k + 10$

Factorize

$3n + 4 = 2(3k + 5)$

The factor of 2 means that $3n + 4$ is even.

Hence, $3n + 4$ is even, if and only if n is even

2.22: $s \ne -1$ and $t \ne -1$ , then $s + t + st \ne -1$

To do this, we prove by contrapositive.

The contrapositive of the above statement is:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

We have:

$s + t + st = -1$

Substitute the values of s and t in: $s + t + st = -1$

$-1 -1 -1 \times -1 = -1$

$-1 -1 + 1 = -1$

$-1 = -1$

Hence, by contrapositive:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

Read more about proofs at:

brainly.com/question/19643658

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3 years ago

Determine the constant of proportionality, k, and interpret it in the context of each problem. 2) The graph shows the relationsh

Vlad [161]

Each dollar is equivalent to $1.50 Euros

4 0

3 years ago

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The prices in the table show the cost of each activity at the fun place.About how much would it cost for 4 people to play minita

marysya [2.9K]

Go on mathway and it will give you the answer

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3 years ago

Think about the graphs of the equations in the following system. x2+ y2 = 2 y = 2x2 – 3 Which of the following describes the sys

Feliz [49]

circle: x2+ y2 = 2

parabola: y = 2x2 – 3

The standard form of equation of circle is:

( x – h )^2 + ( y – k )^2 = r^2

We are given the equation x^2 + y^2 = 2.

Where h and k are the x and y coordinates of the center. Basing on the standard equation, the center is at (0 , 0) and r = $\sqrt{2}$

The standard form of equation of parabola with the axis of symmetry parallel to the y-axis is:

(x - h)^2 = 4p (y - k)

Rearranging the given equation into this form:

x^2 = (½) y + 3/2

x^2 = ½ (y + 3)

Since 4p is positive value, therefore the parabola is opening up. The vertex is located at (0 , -3).

Answer: circle with its center at (0, 0) and a radius of $\sqrt{2}$ ; parabola opening up with its vertex at (0, –3)

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3 years ago

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