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3 years ago

What is the solution of the equation 2/3 + 5x/3= 9 ?

Mathematics

1 answer:

galben [10]3 years ago

6 0

Answer:

x=5

Step-by-step explanation:

multipy both sides of the equation by 3 to remove the denominator becomes

2+5x=27

subtract 2 from both sides since it's positive

5x=25

divide 5 from both sides

x=5

Please mark Brainlist!!!

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One of two complementary angles measures 30 degrees more than three times the other. Find each angle.

Leviafan [203]

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

$x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15$

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

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3 years ago

three notebooks and 4 binders are $9.00. two notebooks and 4 binders cost $8.00. how much does a binder cost?

Goryan [66]

$1.50 (please mark brainliest)

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2 years ago

Please answer these, i’ll give brainliest.

Alekssandra [29.7K]

Answer:

9) 21

10) 70

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12) 31

13) 83

14) 31

Step-by-step explanation:

too easy!!

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2 years ago

The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). if area = length × width, wh

viva [34]

Answer:

Area = x4 + 4x3 + 3x2 - 4x - 4

Length = x3 +5x2 + 8x + 4

Width = Area / Length.

Performing long division with polynomial.

x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1

Width = x-1

Step-by-step explanation:

3 0

2 years ago

The judiciary committee at a college is made up of three faculty members and four students. If ten faculty members and 25 studen

Andre45 [30]

Answer:

1,518,000 committees.

Step-by-step explanation:

We have been given that the judiciary committee at a college is made up of three faculty members and four students. Ten faculty members and 25 students have been nominated for the committee.

We will use combinations for solve our given problem.

$^nC_r=\frac{n!}{r!(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

$^{10}C_3\cdot ^{25}C_4=\frac{10!}{3!(10-3)!}\cdot \frac{25!}{4!(25-4)!}$

$^{10}C_3\cdot ^{25}C_4=\frac{10!}{3!*7!}\cdot \frac{25!}{4!*21!}$

$^{10}C_3\cdot ^{25}C_4=\frac{10*9*8*7!}{3*2*1*7!}\cdot \frac{25*24*23*22*21!}{4*3*2*1*21!}$

$^{10}C_3\cdot ^{25}C_4=10*3*4\cdot 25*23*22$

$^{10}C_3\cdot ^{25}C_4=120\cdot 12650$

$^{10}C_3\cdot ^{25}C_4=1,518,000$

Therefore, 1,518,000 judiciary committees could be formed at this point.

7 0

2 years ago