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2 years ago

I'm having a hard time solving this May I please have an explanation

Mathematics

2 answers:

Irina-Kira [14]2 years ago

7 0

Answer:

e = 9

Step-by-step explanation:

4e - 10 = 2e + 8

=> 4e + (-2e) - 10 = 2e + (-2e) + 8

=> 2e -10 = 8

=> 2e -10 + (+10) = 8 (+10)

=> 2e = 18

=> 2e/2 = 18/2

=> e = 9

Hope this helps!

Marina CMI [18]2 years ago

5 0

Answer:

e = 9

Step-by-step explanation:

ok e is just x, so we have to get it alone

4e - 10 = 2e + 8

We move the 2 since its smaller than the 4, and we move it two the other side. 4-2=2 so the new e is 2, now that 8 is alone (since we moved the 2), we cant be having the e with the -10... like this..

2e - 10 = 8, so we now add 10 so it can go with the 8, the new equation is this..

2e = 18

18/2 = 9

simple explanation

4e - 10 = 2e + 8

2e = 18

e = 9

(does that make sense)

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Calculate the current in an Inductor if the energy stored is 240J and the Inductance is 24H.

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Answer:

Current, I = 4.47 Amperes.

Step-by-step explanation:

Given the following data;

Inductance = 24H

Energy stored, Eind = 240J

To find the current;

The energy stored in an inductor is given by the formula;

Eind = ½LI²

240 = ½*24*I²

Cross-multiplying, we have;

480 = 24I²

I² = 480/24

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Taking the square root of both sides, we have;

Current, I = 4.47 Amp

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3 years ago

This Venn diagram shows sports played by 10 students.

labwork [276]

Answer:

B $\frac{7}{10}$

Step-by-step explanation:

Event A = 2

Event B = 3

Ian and Ella play both so that would add 2 more people.

Total who play soccer or basketball = 7

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Total amount of people who took the survey = 10

$= \frac{7}{10}$

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3 years ago

A supermarket had bags of grapes for $20.72 for 7. They also had bags of green grapes priced at 8.46 for 3. Which type of grapes

emmasim [6.3K]

Answer:

The grapes are more expensive than the green grapes.

Step-by-step explanation:

GRAPES: If you divide $20.72 by 7, to get one bag of grapes instead of seven, you get $2.96/bag.

GREEN GRAPES: If you divide $8.46 by 3, to get one bag of green grapes instead of three, you get $2.82/bag.

$2.82 is less than $2.96, therefore, the grapes are more expensive than the green grapes.

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3 years ago

If (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is

Volgvan

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

$(x - x)^2 + (y-b)^2 = r^2$

First we will find the centre, (a , b):

$a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1$

Find radius:

$Radius, r = \frac{Diameter}{2}$

Diameter is the distance between (-1, 4) and (3, -2)

$diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\$

$= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units$

Therefore , $r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units$

Equation of the circle is :

$(x - 1)^2 +(y-1)^2 = 13$

4 0

3 years ago

your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. yo

Alex73 [517]

A pair of shoes gives us 48 different outfits.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear

We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3

By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible

and

If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4

By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible

hence, buying a pair of shoes gives us 48 different outfits.

Learn more about linear equation

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1 year ago