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Vlada [557]
2 years ago
7

What value of x satisfies the equation -3(4x - 5) = 2(1 - 5x

Mathematics
1 answer:
Alex777 [14]2 years ago
4 0

Answer:

-3(4x - 5) = 2(1 - 5x)

Expand,

-12x + 15 = 2 - 10x

Simplify,

-2x = -13

Divide,

x = -13/-2

Answer,

x = 13/2

(x = 6.5)

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Gemiola [76]

(x - 9)

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A bag with 2 1/2 quarts of peanuts can make 2 1/6 jars of peanut butter. How many
diamong [38]

Answer:

You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter

Step-by-step explanation:

To make this answering seamless, we make the mixed fractions into improper fractions

Hence 2 1/2 becomes 5/2

while 2 1/6 becomes 13/6

Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter

Hence, x quarts of peanuts will make 3 jars of peanuts butter

To get the value of x, what we simply need to do is to cross multiply.

Thus, we have

5/2 - 13/6

x - 3

3 * 5/2 = 13/6 * x

15/2 = 13x/6

26x = 90

x = 90/26

x = 45/13

x = 3 6/13

3 0
3 years ago
How do you factor x^3-2x^2-35x?
natima [27]
X^3 -2x^2 -35x

=x(x^2-2x-35)

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3 years ago
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Based on the information marked in the diagram, triangle PQR and triangle STU must be congruent
Rama09 [41]

Answer:

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Step-by-step explanation:

5 0
2 years ago
The base of a triangle exceeds the height by 9 centimeters. If the area is 56 square centimeters, find the length of the base an
shepuryov [24]

Answer:

The height of the triangle is 7cm and the base is 16cm

Step-by-step explanation:

First of all we have to know the formula to calculate area of ​​a triangle

a = area = 56

b = base

h = heigth

a = (b * h)/2

we replace the known values and we make 2 equations

56cm² = (b * h)/2

b = h + 9cm

we replace b by (h + 9cm) in the first equation

56cm² = (h + 9cm * h)/2

56cm² * 2 = h² + 9h

0 = h² + 9h - 112cm²

we use bhaskara formula:

(-b (±) √ (b² - 4ac) ) / 2a

we replace with the known values

h = (-9 (±) √ (9² - 4*1*(-112) ) ) / 2*1

h = (-9 (±) √ (81 + 448) ) ) / 2

h = (-9 (±) √529) /2

h = (-9 (±) 23)/2

h1 = (-9 + 23) / 2

h1 = 14 / 2

h1 = 7

h2 = (-9 - 23) / 2

h2 = -32 / 2

h2 = -16

The height of the triangle is 7cm and the base is 16cm

8 0
3 years ago
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