Q-(-6)=-5 , what does q equal ?

Mathematics

2 answers:

postnew [5]4 years ago

6 0

-11 would be the answer

Alexxandr [17]4 years ago

4 0

-11
Hope this answer helped :)

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5x + 5 = 25<br> What is x?

Alexeev081 [22]

Answer:

x = 4

Step-by-step explanation:

5x + 5 = 25

-5 -5

5x = 20

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3 years ago

Write a real world situation that could be modeled by the creation 100 minus 6X equals 160-10 X

nikitadnepr [17]

Answer:

Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.

Step-by-step explanation:

Consider the provided information.

We need to write a real world situation that could be modeled by the equation 100-6x=160-10x.

You can use any situation to represents this equation.

The left side of the equation consists of a constant and a variable also the right side of the equation consists of a constant and a variable.

Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.

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3 years ago

At a point on the ground 80 ft from the base of a tree, the distance to the top of the tree is 11 ft more than 2 times the heigh

Sergio039 [100]

Let h be the height of the tree and d the distance to the top of the tree from the point on the ground. Draw a diagram to visualize the situation:

Since the distance to the top of the tree is 11 ft more than two times the height, then:

$d=2h+11$

Use the Pythagorean Theorem to relate the length of the sides of the right triangle:

$\begin{gathered} h^2+80^2=d^2 \\ \Rightarrow h^2+6400=(2h+11)^2 \\ \operatorname{\Rightarrow}h^2+6400=(2h)^2+2(11)(2h)+11^2 \\ \operatorname{\Rightarrow}h^2+6400=4h^2+44h+121 \end{gathered}$

Notice that we have obtained a quadratic equation in terms of h. Write it in standard form and use the quadratic formula to solve for h:

$\begin{gathered} \Rightarrow0=4h^2+44h+121-h^2-6400 \\ \Rightarrow0=4h^2-h^2+44h+121-6400 \\ \Rightarrow0=3h^2+44h-6279 \\ \Rightarrow3h^2+44h-6279=0 \\ \\ \Rightarrow h=\frac{-44\pm\sqrt{(44)^2-4(3)(-6279)}}{2(3)} \\ \\ \therefore h_1=39 \\ h_2=-53.666.. \end{gathered}$

Since the height of the tree must be positive, the only solution is h=39ft. To the nearest foot, the height of the tree is 39.

Therefore, the height of the tree is 39 ft.