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3 years ago

Solve the equation x−2.71=4.12

Mathematics

2 answers:

Airida [17]3 years ago

5 0

Answer:

6.83

Step-by-step explanation:

x-2.71=4.12 | +2.71

x=6.83

zmey [24]3 years ago

5 0

6.83

Step-by-step explanation:

6.83-2.71= 4.12

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g100num [7]

According to my brain, Maddy picked 6 cucumbers.

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2 years ago

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Kyle spend 1/5 of his money on clothing. He had 120 remaining. What was the cost of the clothes Kyle bought

dolphi86 [110]

Answer:

30 is the cost of clothes Kyle bought.

Step-by-step explanation:

Given: Kyle spend 1/5 of his money on clothing.

Remaining money is 120.

Lets assume the total money Kyle had be "x".

∴ Money spent on clothes = $\frac{1}{5}\times x= \frac{x}{5}$

Now, putting up value in the equation to find the total amount of money.

We know, money remaining is 120

$x-\frac{x}{5} = 120$

Taking LCD subtract the fraction.

⇒ $\frac{(x\times 5)- x\times 1}{5} = 120$

⇒ $\frac{5x-x}{5} = 120$

⇒ $\frac{4x}{5} = 120$

Multiplying 5 both side

⇒ $4x= 120\times 5$

dividing 4 on both side.

∴ $x= \frac{120\times 5}{4}$

∴ x= 150

Kyle has total 150 money to spend.

Kyle spent $\frac{1}{5}$ of his total money on clothing.

⇒ cost of clothes kyle bought= $\frac{1}{5} \times 150= 30$

Hence, Kyle spent 30, which was the cost of clothes kyle bought.

6 0

2 years ago

Find the slope of the given equation? y-4=3(x+7)

Alina [70]

Answer:

3/1

Step-by-step explanation:

6 0

3 years ago

1. Graph the polar equation

son4ous [18]

These are two questions and two answers.

Question 1) Which of the following polar equations is equivalent to the parametric equations below?

x=t²

y=2t

Answer: option A.) r = 4cot(theta)csc(theta)

Explanation:

1) Polar coordinates ⇒ x = r cosθ and y = r sinθ

2) replace x and y in the parametric equations:

r cosθ = t²

r sinθ = 2t

3) work r sinθ = 2t

r sinθ/2 = t

(r sinθ / 2)² = t²

4) equal both expressions for t²

r cos θ = (r sin θ / 2 )²

5) simplify

r cos θ = r² (sin θ)² / 4

4 = r (sinθ)² / cos θ

r = 4 cosθ / (sinθ)²

r = 4 cot θ csc θ ↔ which is the option A.

Question 2) Which polar equation is equivalent to the parametric equations below?

x=sin(theta)cos(theta)+cos(theta)

y=sin^2(theta)+sin(theta)

Answer: option B) r = sinθ + 1

Explanation:

1) Polar coordinates ⇒ x = r cosθ, and y = r sinθ

2) replace x and y in the parametric equations:

a) r cosθ = sin(θ)cos(θ)+cos(θ)

b) r sinθ =sin²(θ)+sin(θ)

3) work both equations

a) r cosθ = sin(θ)cos(θ)+cos(θ) ⇒ r cosθ = cosθ [ sin θ + 1] ⇒ r = sinθ + 1

b) r sinθ =sin²(θ)+sin(θ) ⇒ r sinθ = sinθ [sinθ + 1] ⇒ r = sinθ + 1

Therefore, the answer is r = sinθ + 1 which is the option B.

6 0

3 years ago

2x+9>17 or 5x+10<10 compound inequalities

Natali [406]

Answer: 2x+9>17 or 5x+10<10 compound inequalities is x<0

Step-by-step explanation:

What is Meant by Compound Inequality?

In Mathematics, a compound inequality is a sentence which has two statements connected using the word “and” or by the word “or”. If the statements are connected using the word “and”, then both the statements of the compound sentence are true at the same time. If the statements are connected using “or”, then the compound sentence is true if at least one statement is true.

2x+9>17 or 5x+10<10

Let take 2x+9>17

Subtract -9 on both sides

2x+9-9>17-9

2x+0>8

2x>8

Now we need to divide by 2 both sides

2x÷2>8÷2

x>4

Now we solve 5x+10<10

we need to subtract -10 on both side

5x+10-10<10-10

5x+0<0

5x<0

Now we need to divide 5 on both sides

5x÷5<0÷5

x<0

Learn more about area here https://brainly.in/question/19328677

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1 year ago

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