3 years ago

-1 7/9 is the same as them sum of -2 5/6 and 1/3 times a number. what is the number?

1 answer:

8 0

-1 7/9= -2 5/6 + 1/3x
+2 5/6 to each side
-1 7/9 + 2 5/6 = 1 1/18

1 1/18 = 1/3x
Divide each side by 1/3

Answer is 3 1/6

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If the ratio of 7 less than a number and 7 more than the number 2, what is the number?

snow_lady [41]

Answer:

Step-by-step explanation:

I assume you mean "if the ratio of 7 less than a number and 7 more than the number is 2".

Let x be the number.

Ratio is division.

(x-7)/(x+7)=2

Multiply by (x+7) on each side:

x-7=2(x+7) = 2x+14

Add 7 on each side

x=2x+21

Subtract 2

-x=21

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3 years ago

A professor must randomly select 4 students to participate in a mock debate.

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Answer:

Step-by-step explanation:

We can use combinations

20 choose 4:

20!/(16!*4!)

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4 years ago

What do you think the definition of life? Just money? Whats your objective?

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4 years ago

Read 2 more answers

List the domain and range of the relation.

Phoenix [80]

D: { 1,3,0}
R: { -4,3,1,4}

I’m pretty sure these are the domain and range!

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3 years ago

a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by $\frac{1}{2}(a+b)h$ . Thus,

$60 = \frac{1}{2}(2h + 2h + 4)h$

$60 = \frac{(4h + 4)h }{2}$

$60 = \frac{4h(h + 1)}{2}$

$60 = 2h(h + 1)$

$30 = h(h + 1)$

$0 = h^2 + h - 30$

$0 = (h+6)(h-5)$

$h-5 = 0$ or $h+6 = 0$

$h= 5$ or $h = -6$

We discard the negative value of h since it is a measurement and cannot be negative.

$h= 5$

$a= 2h=2\times5=10$

$b= a+4=10+4=14$

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3 years ago