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Ber [7]
3 years ago
5

Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three?"

Mathematics
2 answers:
pickupchik [31]3 years ago
6 0

Answer:

\frac{(-8)}{(x+3)}

Step-by-step explanation:

Let

x-----> the number

we know that

The expression "negative eight" is equivalent to -8

The expression " the sum of a number and three" is equivalent to (x+3)

therefore

The complete expression " the quotient of negative eight and the sum of a number and three" is equivalent to the algebraic equation

\frac{(-8)}{(x+3)}

Masja [62]3 years ago
5 0
-8/(x+3)= ? is the answer i believe

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Using the change in base property, we have \frac{ln2506}{ln7}=4.022 approximately.
6 0
4 years ago
Renting a room at the Willow tree resort costs $125 for 2 people. Each additional person is $25. Write an expression that shows
Mama L [17]

Answer:

Let C be the cost for the people staying

if n <= 2 ;  C = $125

If n >2 ;  C =  $125 + $25 * (n-2)

Step-by-step explanation:

If the number of people is more than two, we need to add $25 for each of them.

Since n will be the number of people staying, we need to make sure that we substract two from this term to avoid overcharging the guests when there is less than two people.

So

(n-2) is the term that should be multiplied by a factor of 25.


5 0
3 years ago
100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u
podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle.  Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 =  (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0.  We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero.  Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this:  does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13?  Yes.

7 0
3 years ago
One side of a shipping container measures 8 feet. The container is a cube. What is the container's volume in cubic feet?
DerKrebs [107]

Answer:c

Step-by-step explanation:

3 0
3 years ago
In the air, it had an average speed of 16 m/s In the water, it had an average speed of 3 m/s before hitting the seabed. The tota
julia-pushkina [17]
<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>

Step-by-step explanation:

Total distance to sea bed = 127 m

Let the distance traveled in air be s.

Distance traveled in water = 127 - s

Average velocity in air = 16 m/s

Average velocity in water = 3 m/s

Distance traveled in air = Average velocity in air x Time in air

s = 16 x t₁

t_1=\frac{s}{16}

Distance traveled in water = Average velocity in water x Time in water

127-s = 3 x t₂

t_2=\frac{127-s}{3}

We have total time is 12 seconds

That is

                t₁ + t₂ = 12

                \frac{s}{16}+\frac{127-s}{3}=12\\\\3s+2032-16s=576\\\\13s=1456\\\\s=112m

We have

            s = 16 x t₁

            112 = 16 x t₁

             t₁ = 7 s

           t₁ + t₂ = 12

            7 + t₂ = 12    

             t₂ = 5 s

The stone fall in air for 7 seconds and fall in water for 5 seconds.

7 0
3 years ago
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