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3 years ago

Ten times the square of a non zero number is equal to eighty times the number

1 answer:

5 0

The problem says that 10x^2 = 80x. Since x is guaranteed not to equal zero, divide both sides by x; 10x=80. Divide both sides by 10 and x=8

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How to solve : 16=2t + 0.25 t``squar

Marysya12 [62]

Answer:

The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).

Step-by-step explanation:

We have to solve the given quadratic equation of single variable t.

The equation is 16 = 2t + 0.25t²

⇒ 0.25t² + 2t - 16 = 0

⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}

⇒ 25t² + 200t + 400 - 400 - 1600 = 0

⇒ (5t + 20)² - 2000 = 0

⇒ (5t + 20)² - (20√5)² = 0

⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0

So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0

⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0

⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)

8 0

3 years ago

Please help me right now.

spin [16.1K]

$\sum\limits_{k=1}^{\infty}12\left(0.7\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r = 0.7 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=12(0.7)^{1-1}=12(0.7)^0=12\\\\r=0.7$

Substitute:

$S=\dfrac{12}{1-0.7}=\dfrac{12}{0.3}=40$

Answer: c. Converges, 40.

5 0

4 years ago

Use the rules of equations and inverse operations to solve the equation. 3x^2=48

stepan [7]

Answer:

x = plus or minus 4

Step-by-step explanation:

Let's first simplify this equation by dividing both sides by 3:

3x^2 48

------- = ------ becomes x^2 = 16

3 3

Taking the square root of both sides of x^2 = 16, we get x = plus or minus 4.

5 0

4 years ago

Shirts at Old Navy cost $8 each. How much will t shirts cost?

KatRina [158]

Answer: 8?

Step-by-step explanation: you want one shirt

6 0

3 years ago

Read 2 more answers

Ice Cold Creamery will give a free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.

kotykmax [81]

Given:

Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.

Each bucket of ice cream costs $7.28

Each bucket of frozen yogurt costs $8.21.

To find:

The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.

Solution:

Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.

According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.

$7.28i+8.21y\geq 100$

$8.21y\geq 100-7.28i$

Divide both sides by 8.21.

$y\geq \dfrac{100-7.28i}{8.21}$

Therefore, the required inequality is $y\geq \dfrac{100-7.28i}{8.21}$ .

8 0

3 years ago