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marshall27 [118]
3 years ago
11

The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 96. Find x.

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

12 units

Step-by-step explanation:

base is x

one of the legs measure 4x-6

therefore, perimeter is equal to

2 (4x - 6) + x = 96

8x - 12 + x = 96

9x = 96 + 12

9x = 108

x = 108/9 = 12 units

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The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?
kolezko [41]

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

x + y = 23\\x * y = 132

From the first equation we have to:

x = 23-y

We substitute in the second equation:

(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

(y-11) (y-12) = 0

Thus, the solutions are:y_ {1} = 11\\y_ {2} = 12

So, we can take any of the solutions:

With y = 11

Thenx = 23-11 = 12

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

 The ages of the children are 11 and 12 respectively.

6 0
3 years ago
A rectangle measures 15 2 inches by 4 3 inches. What is its area?
IRINA_888 [86]

Answer:

65.36

Step-by-step explanation:

15.2 x 4.3 = 65.36

4 0
2 years ago
McSaw’s Ice Cream makes muffins that cost $.60 each. Past experience shows that 10% of the muffins will become stale and have to
Temka [501]
.60×.55=.33 cent mark up to original price
.60+.33=.93 cost per muffin

.6×100=60×.55=93 cost for 100 muffins
93/100= .93 cost per muffin

4 0
2 years ago
(Will give brainliest if asked for)
GarryVolchara [31]

A. x <= -12

<u>Explanation:</u>

-3x >= 36

-x >= 36/ 3

-x > = 12

x < = -12

When the negative sign is shifted then the greater than equal to sign reverses to less than equal to.

Therefore, x <= -12

7 0
3 years ago
Divide using long division. <br><br> <img src="https://tex.z-dn.net/?f=%284x%5E%7B2%7D%20-5x%2B3%29" id="TexFormula1" title="(4x
frez [133]

Answer:

The quotient = 4x - 17 and the remainder = 54

Step-by-step explanation:

\frac{4x^{2}-5x+3 }{x+3}=4x+\frac{-17x+3}{x+3}

\frac{-17x+3}{x+3}=-17+\frac{54}{x+3}

The quotient = 4x - 17 and the remainder = 54

6 0
2 years ago
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