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3 years ago

What is the solutioon to this equation 2x + 10 = 28

Mathematics

2 answers:

SOVA2 [1]3 years ago

4 0

$2x+10 =28\\\\\implies 2(x+5) = 2 \cdot 14\\\\\implies x+5 =14\\\\\implies x = 14 -5 = 9$

disa [49]3 years ago

4 0

Answer:

the solution to this equation is x=9

Step-by-step explanation:

2x + 10 = 28

subtract 10 from each side

2x = 18

divide each side by 2

x = 9

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What is this question Simplify 3(4)2.

Sonja [21]

All we have to do here is multiply the numbers, as there are no other operations in this equation.

3 times 4 is 12, times 2 is 24.

The answer is 24.

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4 years ago

The equation

ra1l [238]

<h2>Explanation:</h2>

Let's use a trial and improvement method to find this solution.

Step 1. Let's choose x = 8.5

Substituting into the equation:

$(8.5)^2+ 3(8.5) - 94=0? \\ \\ 72.25+25.5-94=0? \\ \\ 3.75\neq 0$

Step 2. Let's choose x = 8.4

Substituting into the equation:

$(8.4)^2+ 3(8.4) - 94=0? \\ \\ 70.56+25.2-94=0? \\ \\ 1.76\neq 0$

Step 3. Let's choose x = 8.3

Substituting into the equation:

$(8.3)^2+ 3(8.3) - 94=0? \\ \\ 68.89+24.9-94=0? \\ \\ -0.21\neq 0$

Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is:

$x=8.3$

6 0

4 years ago

The perimeter of an equilateral triangle is 83 inches. If the length of each side is (2x -3), find the value of x.

Minchanka [31]

Answer:

$x = 15 \frac{1}{3}$

Step-by-step explanation:

Equilateral triangles have 3 equal sides.

Thus, perimeter of triangle

= 3(2x -3)

= 3(2x) +3(-3) (expand)

= (6x -9) inches

Given that the perimeter is 83 inches,

6x -9= 83

6x= 83 +9 (+9 on both sides)

6x= 92

$x = 15 \frac{1}{3}$

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3 years ago

Find the distance between each pair of points. (-5, -3) and (-5, -6)

Aloiza [94]

Answer:

• Formular for length:

$length = \sqrt{ {(x _{1} - x _{2}) }^{2} + {(y_{1} - y_{2})}^{2} }$

• from points given, x1 is -5, x2 is -5, y1 is -3 and y2 is -6:

• substitute:

$length = \sqrt{ { \{ - 5 - ( - 5) \}}^{2} + { \{ - 3 - ( - 6) \}}^{2} } \\ \\ length = \sqrt{ {0}^{2} + {3}^{2} } \\ \\ length = \sqrt{ {3}^{2} } \\ \\ { \boxed{ \boxed{ \: \: length = 3 \: units \: \: }}}$

3 0

3 years ago

Alice Smith bought a clothes dryer that retailed for $325 . She received a 15% discount because she works at the store where she

r-ruslan [8.4K]

Answer:

296.97

Step-by-step explanation:

Remark

The first thing you have to realize is that you take the discount before you add the sales tax.

Discount

If she receives a 15% discount, she still pays 85% of the full price.

85/100 * 325 = 276.25

Sales Tax

A sales tax is only added on after a goods or service has been determined and agreed upon by the buyer and seller.

The sales tax can be calculated quickly by adding the decimal equivalent onto 1 and multiplying that by the discounted amount.

1 + 7.5% = 1 + 7.5/100 = 1 + 0.075 = 1.075 deriving the discount amount

Cost

Cost = discounted price * 1.075 Substitute in Formula

Cost = 276.25 * 1.075 Simplify

Cost = 296.97 Answer

3 0

4 years ago