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Anna [14]
3 years ago
15

Plz help! I’m tired and can’t think of the answer!

id="TexFormula1" title=" \frac{24+4x}{10+x}=3 " alt=" \frac{24+4x}{10+x}=3 " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Leokris [45]3 years ago
5 0

\frac{24 + 4x}{10 + x}  = 3 \\  \\ 24 + 4x = 30 + 3x \\  \\ 4x - 3x = 30 - 24 \\  \\ x = 6
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I know the answer but I need to explain how to get the answer. Please help❤️
kondaur [170]

Answer:

730, 735, 740

Step-by-step explanation:

Let the three consecutive multiples of 5 be, x, x+5 and x+10

Given,

x + x+5 + x+10 = 2205

3x + 15 = 2205

Subtract 15 from both sides,

3x = 2205 - 15

3x = 2190

Divide both sides by 3,

x = 2190/3 = 730

So, x= 730

x+5 = 735

x+10 = 740

5 0
2 years ago
(Picture) easy expressions and equations
Allisa [31]

Answer: 2,095,220,000

6 0
2 years ago
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he haas to use are 8 feet
Sedaia [141]

No, it will not be able to make a right triangle.

<em><u>Solution:</u></em>

Given that,

Joel wants to fence off a triangular portion of his yard for his chickens.

The length of three peices of fencing are 8 feet , 15 feet and 20 feet

For making it a right triangle it must satisfy the "Pythagorus theorem"

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

For a right angled triangle with sides a, b, c

c^2 = a^2+b^2

Given sides are:

a = 8 feet

b = 15 feet

c = 20 feet

Substituting the values in above formula

20^2 = 8 ^2+15^2\\\\400 = 64 + 225\\\\400\neq 289

Since the pythogoras formula is not satisfied, the given sides cannot form a right angled triangle

Thus , No, it will not be able to make a right triangle.

7 0
3 years ago
Please factor 5x^2-23x+12
STALIN [3.7K]

5x^2-23x+12

= 5x^2 - 20x - 3x +  12

= 5x(x - 4) - 3(x - 4)

= (5x - 3)(x - 4)

Hope that helps

3 0
3 years ago
Position <br> 1 2 3 4 5 n<br> Value of term<br> 2 12 17 22 27
Murljashka [212]

Note: It seems the first term of your sequence is 7 instead of 2. So, I am assuming you meant the sequence such as;

7, 12, 17, 22, 27

Answer:

The expression for the nth term of the givens sequence is:

  • a_n=5n+2

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, 27

Here, the first element of the sequence is:

a_1=7

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5,\:\quad \:27-22=5

The difference between all the adjacent terms is the same and equal to

d=5

so substituting d = 5 and a_1=7 in the nth term to determine the expression

a_n=a_1+\left(n-1\right)d

a_n=5\left(n-1\right)+7

a_n=5n+2

Therefore, the expression for the nth term of the givens sequence is:

  • a_n=5n+2
4 0
3 years ago
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