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3 years ago

Simplify 18 - 2[x + (x - 5)].

1 answer:

7 0

18 - 2[x + (x-5)]
First I would get rid of the inside parenthesis by distributing the + to everything inside and end up with;

18 - 2[x + x - 5]
Then I'd combine like terms inside the brackets
18 - 2[2x - 5]
Then I'd multiply what is inside the brackets by the -2
18 - 4x + 10
I'd combine like terms and end up with:

28 - 4x......or rewritten as -4x + 28

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The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in ga

Karolina [17]

Answer:

.12%

Step-by-step explanation

2.61-2.49= 0.12

.12%

5 0

3 years ago

In circle D, angle ADC measures (7x + 2)°. Arc AC

Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC = m∠ADC

∴ m∠ABC = × 72

∴ m∠ABC = 36°

7 0

3 years ago

Who is taking in more calories if the small bag of snickers are the exact same size: A person in a group where 5 people are shar

MrRa [10]

Answer:

A person in a group where 5 people are sharing 3 small bags of snickers

Step-by-step explanation:

Let the number of calories in one bag of snickers =x

Number of calories in 3 small bags of snickers =3x

If 5 people share 3 small bags of snickers, 1 person's share $=\dfrac{3x}{5}$

Number of calories in 2 small bags of snickers =2x

If 7 people share 2 small bags of snickers, 1 person's share $=\dfrac{2x}{7}$

We then compare the two.

Let x=1

$\dfrac{3}{5}=0.6$ calories per person\\\dfrac{2}{7}=0.29$ calories per person$

Therefore, a person in a group where 5 people are sharing 3 small bags of snickers gets more calories.

3 0

3 years ago

Simplify (4x - 6) - (5x + 1).

faust18 [17]

The answer to the question is -x-7

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3 years ago

Which statement best explains how organ systems in the human body function?

DENIUS [597]

Answer:

IT EITHER B OR D BECASUE THOSE SEEM TRUE AND ALL BUT I DONT TRUST A AND C SO DONT MAKE THE WRONG MOVE MY GUY

Step-by-step explanation:

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3 years ago

Read 2 more answers