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ivolga24 [154]
2 years ago
4

Solve the equation for x. (5 points)

Mathematics
1 answer:
Drupady [299]2 years ago
8 0

<h2><u>Solution</u>:</h2>

I think the equation should be:

\sqrt{x - 6}  + 3 = 10

If so, collect like terms to make x the subject of formula.

\sqrt{x - 6}  = 10 - 3 \\  \sqrt{x - 6}  = 7

Square both sides due to the presence of square root.

( \sqrt{x - 6}  {)}^{2}  = (7 {)}^{2}

→x - 6 = 49

Collect like terms.

x = 49 + 6

Therefore: x = 55

<h3><em>I</em><em> </em><em>h</em><em>ope</em><em> this</em><em> helps</em><em>.</em></h3>
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Which ordered pair is a solution of the equation?
alexgriva [62]
Hello!

Let's substitute the values for each ordered pair into the equation and see which one works.

4(3)-1=6+5
12-1=11
11=11

A is a solution

7=14

B is not a solution.

Therefore, a) only (3,2) is a solution to the equation.

I hope this helps!
5 0
3 years ago
Ms. Hawkinson is planning to take more pictures of her students. She bought 8 rolls of film and 2 camera batteries for $23.00. T
charle [14.2K]

Answer:

1 Roll = $2.50

1 Battery = $1.50

Step-by-step explanation:

From the question we know that,

8 Rolls + 2 Batteries = $23, and

6 Rolls + 2 Batteries = $18

We can subtract the two equations to obtain a third equation,

(8 Rolls + 2 Batteries) - (6 Rolls + 2 Batteries) = $23 - $18

(8 - 6) Rolls + (2 - 2) Batteries = $23 - $18

2 Rolls = $5

Divide RHS and LHS by 2, to obtain the cost of a roll,

2 Rolls / 2 = $5 / 2

1 Roll = $2.50

If one roll costs $2.50 then 6 rolls cost $15,

6 x $2.50 = $15

We plug in this value into the second equation,

$15 + 2 Batteries = $18

Subtract both sides by $15,

$15 + 2 Batteries - $15 = $18 - $15

2 Batteries = $3

Divide RHS and LHS by 2 to obtain the final answer,

2 Batteries / 2 = $3 / 2

1 Battery = $1.50

7 0
3 years ago
At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawals,
denis-greek [22]

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.

Let x be  the amount of one of Derek's withdrawals

Each of John's withdrawals was $5 more than each withdrawal that Derek made.

x + 5 is t the amount of one of John's withdrawals

Derek made 7 withdrawals

So amount withdraw 7 times = 7x

John made 5 withdrawals

So amount withdraw 5 times = 5(x+5)

Both Derek and John withdrew the same amount of money in the end

(A)7x = 5(x+5)

(B) Solve for x

7x = 5x + 25

Subtract 5x from both sides

2x = 25

Divide by 2

x = 12.5

(C) check your solution

we plug in 12.5 for x in 7x= 5x + 25

7(12.5) = 5(12.5) + 25

87.5 = 62.5+ 25

87.5 = 87.5

(D) Each brother withdrawal 87.5 dollars


5 0
3 years ago
Simplify 4 square root of 6 over 5 square root of 6 <br>6 1/5<br>6 9/20<br>6 1/20<br>6 5/4​
Ivahew [28]

Answer:

Step-by-step explanation:

1. 6 1/5 is your answer

3 0
3 years ago
In a contest to guess the number of jelly beans in a jar, Alice guessed 25;Betty, 18;Clare,23;Dotty,19;Edith,24;and Fran,17. Two
vampirchik [111]

Answer:

<em>There are 21 jelly beans in the jar.</em>

Step-by-step explanation:

Suppose, the number of jelly beans in the jar is  x

Two were off by 2, two were off by 3, two were off by 4. That means, the six guessed number will be:  (x+2), (x-2), (x+3), (x-3), (x+4), (x-4)

Given that, Alice guessed 25; Betty, 18; Clare, 23; Dotty, 19; Edith, 24; and Fran, 17.

So, the sum of all six guessed number will be:  25+18+23+19+24+17=126

Thus, the equation will be..........

(x+2)+(x-2)+(x+3)+(x-3)+(x+4)+(x-4)= 126\\ \\ 6x= 126\\ \\ x=\frac{126}{6}=21

So, the number of jelly beans in the jar is 21.


5 0
3 years ago
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