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2 years ago

(04.01, 04.02 HC)

Mathematics

1 answer:

Kitty [74]2 years ago

7 0

Eric spend 60 minutes for basketball and 35 minutes for volleyball.

<h3>What is Linear Equation?</h3>

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, let Eric plays basketball for x minutes.

and volleyball for y minutes.

Total time spend on playing basketball and volleyball everyday = 95 minutes.

Duration of Basketball 25 minutes more than volleyball

Now, according to question,

x + y = 95 ..........(i)

x - 25 = y ...........(ii)

On solving equation (i) and (ii), we get

x + x - 25 = 95

2x = 95 + 25

2x = 120

x = 120 / 2

x = 60

put value of x in equation (ii), we get

60 - 25 = y

y = 35

Yes, it is possible and clearly described in above calculation.

Thus, Eric spend 60 minutes for basketball and 35 minutes for volleyball.

Learn more about Linear Equation from:

brainly.com/question/11897796

#SPJ1

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The perimeter of a television screen is 42 inches. The screen is 8 inches tall. How wide is it?

Leni [432]

Answer:

13 inches

Step-by-step explanation:

Perimeter is all the sides added so your equation would be 8+8+x+x=42 then you combine like terms. 16+2x=42. Next you would isolate the variable 2x=26 and the divide the 2 on both sides and you get x=13. Meaning your width is 13 inches long

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3 years ago

A number decreased by fifteen is less than two

Afina-wow [57]

Answer: x - 15 < 2

Step-by-step explanation: x is a variable indicating a number, and since it said decreased by meaning you subtract an then by 15 and less than two

5 0

3 years ago

2.50=?%...............................

k0ka [10]

2.50 would be 25% out of 100%

4 0

3 years ago

The sum of the squares of three consecutive positive integers is 7805. What is the sum of the cubes of the three original intege

Vitek1552 [10]

Answer:

398259

Step-by-step explanation:

Let from the given positive integers, x be the smallest integers,

Also, numbers are consecutive,

So, the second integer = x + 1,

Third integer = x + 2,

According to the question,

$x^2+(x+1)^2+(x+2)^2=7805$

$x^2+x^2+2x+1+x^2+4x+4=7805$

$3x^2+6x+5=7805$

$3x^2+6x+5-7805=0$

$3x^2+6x-7800=0$

$x^2+2x-2600$

By middle term splitting,

$x^2+(52-50)x-2600=0$

$x^2+52x-50x-2600=0$

$x(x+52)-50(x+52)=0$

$(x-50)(x+52)=0$

By zero product property,

x-50 = 0 or x + 52 =0

⇒ x = 50 or x = -52 ( not possible )

Hence, numbers are 50, 51, 52,

∵ (50)³ + (51)³ + (52)³ = 125000 + 132651 + 140608 = 398259

6 0

3 years ago

Which equation is represented by the table?

MatroZZZ [7]

Answer:

$y=-|x-3|-3$

Step-by-step explanation:

The table shows values of $y$ for different values of $x$ .

Let us test each equation with the values given in the table.

Equation 1: $y=|x+3|-3$

For $x$ = 1, we get,

$y=|x+3|-3=|1+3|-3=|4|-3=4-3=1$

So, we got 1 for $y$ . But as per table, value of $y$ should be -5.

So, equation 1 is incorrect.

Equation 2: $y=-|x-3|-3$

For $x$ = 1, we get,

$y=-|x-3|-3=-|1-3|-3=-|-2|-3=-(2)-3=-5$

So, we got -5 for $y$ . It matches with the value of table.

Let us check for another value of $x$ in order to confirm.

For $x =2$ , we get,

$y=-|x-3|-3=-|2-3|-3=-|-1|-3=-(1)-3=-4$

So, we got -4 for $y$ . It matches with the value of table.

So, equation 2 is the correct answer.

We can be completely sure by checking the remaining equations too.

Equation 3: $y=|x-3|-3$

For $x$ = 1, we get,

$y=|x-3|-3=|1-3|-3=|-2|-3=2-3=-1$

So, we got -1 for $y$ . But as per table, value of $y$ should be -5.

So, equation 3 is incorrect.

Equation 4: $y=-|x+3|-3$

For $x$ = 1, we get,

$y=-|x+3|-3=-|1+3|-3=-|4|-3=-4-3=-7$

So, we got -7 for $y$ . But as per table, value of $y$ should be -5.

So, equation 4 is incorrect.

3 0

3 years ago