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3 years ago

11

Luis has a goal of running a total of 100 miles this month.each day, he plans to run five miles considering that he sticks to hi

s plan. write an expression that can be used to determine how many miles he has left to run after running 5 days.

1 answer:

Ann [662]3 years ago

3 0

Answer:

100-(5x5)=x

Step-by-step explanation:

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Find the value of the variable.

Nikolay [14]

we are given that

both sides are equal

so, their length must be equal

$HK=\sqrt{(p-1)^2+(5-2)^2}$

$HK=\sqrt{(p-1)^2+9}$

now, we can find other side

$JK=\sqrt{(p-7)^2+(5-2)^2}$

$JK=\sqrt{(p-7)^2+9}$

now, we can set them equal

$HK=JK$

$\sqrt{(p-1)^2+9}=\sqrt{(p-7)^2+9}$

now, we can take square both sides

$(p-1)^2+9=(p-7)^2+9$

now, we can solve for p

$(p-1)^2=(p-7)^2$

$p^2-2p+1=p^2-14p+49$

$-2p+1=-14p+49$

$12p=48$

$p=4$ ..............Answer

4 0

3 years ago

A tank can be filled by one pump in 50 minutes and by another in 60 minutes. A third pump can drain the tank in 75 minutes. If a

Deffense [45]

let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.

next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.

4 0

3 years ago

Solve the quadratic equation<br> give your answer to 2 decimal places<br> : 3x^2+x-5=0

Dima020 [189]

Given:

The quadratic equation is:

$3x^2+x-5=0$

To find:

The solution for the given equation rounded to 2 decimal places.

Solution:

Quadratic formula: If a quadratic equation is $ax^2+bx+c=0$ , then:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

We have,

$3x^2+x-5=0$

Here, $a=3,b=1,c=-5$ . Using the quadratic formula, we get

$x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}$

$x=\dfrac{-1\pm \sqrt{1+60}}{6}$

$x=\dfrac{-1\pm \sqrt{61}}{6}$

$x=\dfrac{-1\pm 7.81025}{6}$

Now,

$x=\dfrac{-1+7.81025}{6}$

$x=1.13504167$

$x\approx 1.14$

And

$x=\dfrac{-1-7.81025}{6}$

$x=-1.468375$

$x\approx -1.47$

Therefore, the required solutions are 1.14 and -1.47.

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John's fishing boat caught 2735 lbs of fish. They put them into boxes of 92 lbs each. About how many boxes did they need?

umka21 [38]

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