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Serjik [45]
3 years ago
7

A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they

did in July. In August, they removed twice the number of trees as they did in July. They removed less than 1000 trees in the three months. What is the maximum number of trees they removed in July?​
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer: 299

Step-by-step explanation:

Given

Family removes one-third of tress in June as much as they dd in July

They remove twice the number of July in august

Suppose they removed x trees in July

for June it is, \frac{x}{3}

for August, it is 2x

If they removed less than 1000 tress in 3 months

\Rightarrow \dfrac{x}{3}+x+2x

So, maximum number of tress removed in July is 299

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What is the sales tax on sunglasses if
earnstyle [38]

Answer: God

Step-by-step explanation: LORD HAVE MERCY

4 0
2 years ago
3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the near
Lynna [10]

Answer:

x = 3.4

Step-by-step explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6    (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4  (rounded to nearest tenth)

8 0
3 years ago
Solve the equation by factoring. 8x^2+10x-7=0<br><br> What is the solution set?
nydimaria [60]

Answer:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

<u>When factoring trinomials of the form ax² + bx + c</u>:

  • multiply the leading coefficient and the last term.
  • find the product factors that add to give you the coefficient of the middle term.
  • rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

  1. 4x + 7 = 0
  2. 2x - 1 = 0

 

<u><em>Case 1:</em></u>

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = \bold{-\dfrac{7}{4}}

<u><em>Case 2:</em></u>

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = \bold{\dfrac{1}{2}}

Solutions:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

brainly.com/question/27638369

7 0
2 years ago
Read 2 more answers
An 8-foot ladder is leaning against a wall. The top of the ladder is 5.5 feet from the ground.
Kobotan [32]

my guess would be c. but id wait for someone else to answer just to be sure

3 0
3 years ago
I need some help with this rational equation. It's supposed to = -1, but for some strange reason I keep getting x^2 +2x = -1.
Rasek [7]

This one is so easy that your brain refuses to accept it.
It's looking for a harder answer, but can't find it !

You're totally correct, as far you went.     x² + 2x does = -1

Now add ' 1 ' to each side:     x² + 2x + 1 = 0

Can you factor that quadratic ?
Can you mash it through the quadratic formula ?

Actually, it's the simplest possible perfect square.

                                       x² + 2x + 1  =  (x + 1)²

So the solutions of     x² + 2x + 1 = 0  are both   x = -1 .

Don't say anything.
I know it's embarrassing.

7 0
3 years ago
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