Which value of x makes the equation
0.25(x + 20) = 0.1(x + 70) + 0.05x true?
A.0.2
B.25
C.20
D.2

Given:

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.

To find:

The length of o, to the nearest inch.

Solution:

According to cosine formula,

[tex]a^2=b^2+c^2-2bc\cos A[/tex]

Using cosine formula in ΔOPQ, we get

[tex]o^2=p^2+q^2-2pq\cos O[/tex]

On substituting the values, we get

[tex]o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)[/tex]

[tex]o^2=32400+14400-43200(-0.9877)[/tex]

[tex]o^2=46800+42668.64[/tex]

[tex]o^2=89468.64[/tex]

Taking square root on both sides.

[tex]o=\sqrt{89468.64}[/tex]

[tex]o=299.113[/tex]

[tex]o\approx 299[/tex]

Therefore, the length of o is about 299 inches.

Answer:299

Step-by-step explanation:

Answer:

$18876

Step-by-step explanation:

Given : 142 green pepper plants & 100 red pepper plants, each plant produces 26 peppers, each pepper sells for $3.

Total Peppers = Total pepper plants x peppers per plant

(142 + 100) x 26  = 242 x 26 = 6292

Total expected money income estimate = Total peppers x price per pepper

= 6292 x 3 = 18876

Answer: -4

There are rules, just follow the rules

Answer:

25/3

Step-by-step explanation:

5^2= 25 x 2= 50/6= 25/3

Answer:

Yes

Step-by-step explanation:

Answer:

2 solutions

Step-by-step explanation:

Given the 2 equations

y = x² + 4x + 4 → (1)

y = 2x + 7 → (2)

Substitute y = x² + 4x + 4 into (2)

x² + 4x + 4 = 2x + 7 ( subtract 2x + 7 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Substitute these values into (2) for corresponding values of y

x = - 3 : y = 2(- 3) + 7 = - 6 + 7 = 1 ⇒ (- 3, 1 )

x = 1 : y = 2(1) + 7 = 2 + 7 = 9 ⇒ (1, 9 )

The 2 solutions are (- 3, 1 ) and (1, 9 )

Answer:

45 degrees and 45 degrees

Step-by-step explanation:

45+45=90

The measure of the two complementary angles will be 45.

Complementary angles are those whose combined angle is exactly 90 degrees. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that the two angles are complementary to each other.

The complementary angles are the angles having the sum of 45 degrees. The two complementary angles will be calculated as,

45 + 45 = 90

Here one angle is 45 and the other angle is also 45 and the sum of the angles is 90.

Therefore, the measure of the two complementary angles will be 45.

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Answer:

15 minutes

Step-by-step explanation:

4 x 8 = 1 hour

with twice the goats and half the cans you divide by 4

Answer:

Well rulers don't like to be proven wrong therefore you have to be patient in convincing a ruler that your idea is best. It's pretty much like what inception is in the movie.

A soft tongue is using calm words which in my opinion means you have the utmost confidence in what you're saying. I dont think it literally means bones will break but the person listening will feel as though they are completely wrong if a calm cool person is proving them wrong.

Answer: See answer below

Step-by-step explanation:

Well rulers don't like to be proven wrong therefore you have to be patient in convincing a ruler that your idea is best.

A soft tongue is using calm words which means you have the utmost confidence when speaking. The phrase "break bones" means that a person listening will feel as though they are completely wrong if a calm cool person is proving them wrong.

Answer:

See explanation

Step-by-step explanation:

The question is incomplete..

The given parameters can only solve for the number of hours the battery can last if at full capacity.

Given

25% = 4.5 hours

Required

Determine the brand

First, we need to determine the full capacity (100%)

So, we have:

25% = 4.5 hours

100% = x

Cross Multiply

25% * x = 100% * 4.5 hours

Divide both sides by 25%

x = 4 * 4.5 hours

x = 18 hours

Hence, the battery at full capacity is 18 hours.

So, to answer the question, you need to check the given list of brands.

The brand closest to 18 hours answers the question

Answer:

f=−g+9/2

g=−f+9/2

Step-by-step explanation:

hope that helps:)

Answer:

x= 4 or -10

Step-by-step explanation:

Answer:

x = - 10, x = 4

Step-by-step explanation:

Given

2(x + 3)² = 98 ( divide both sides by 2 )

(x + 3)² = 49 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 3 from both sides )

x = - 3 ± 7

Thus

x = - 3 - 7 = - 10

x = - 3 + 7 = 4

Answer:

7

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the opposite interior angles

18x+9 = 5x-5 + 105

Combine like terms

18x+9 = 5x +100

Subtract 5x from each side

18x-5x +9 = 5x+100-5x

13x +9 = 100

Subtract 9 from each side

13x +9-9=100-9

13x= 91

Divide by 13

13x/13 = 91/13

x = 7

Answer:

C

Step-by-step explanation:

[tex]f(x)=4(5)-11\\f(x)=20-11\\f(x)=9[/tex]

<3

Red

Answer:

9

Step-by-step explanation:

f(x)= 4×5 - 11

you plug in the 5

4×5=20

20-11

= 9

Answer:

45°

Step-by-step explanation:

was this the last one?

Answer:

1/16

Step-by-step explanation:

you need to add it to have a correct answer

Answer:

Cost of the refill mug = $8.95

Cost of each refills = $1.50

Sean bought a mug for $8.95

No. of refills he bought = (26.95 – 8.95)/1.50

= 18 /1.50

= 12

Step-by-step explanation:

Mode= Most frequently occurred data

61 occurred 2 times in the given set of data

Answer:

30,000

Step-by-step explanation:

You simply multipy the 15,000 by two since it is doubling. *4 is double of 42 which is why you would multiply by two.

Answer:

4.55294117. If you want it rounded look below.

Step-by-step explanation:

-Rounded-

Hundredths:4.55

Tenth: 4.6

Thousandth: 4.553

Whole Number: 5

Hope this helps. :D

Answer:

y = 1/5x + 3

Step-by-step explanation:

y - 4 = 1/5(x - 5)

y - 4 = 1/5x - 1             Distribute numbers to parenthesis

y = 1/5x + 3                 Add 4 to both sides

Answer:

y intercept=-9

Step-by-step explanation:

On the larger map, 1 inch represents an actual distance of 300 feet.

In the original map, 1 inch represents an actual distance of 300 feet.

Since the map is 12 inches square, the side length of the map is 12 inches. Therefore, the actual distance represented by the entire map is 12 inches * 300 feet/inch = 3600 feet.

In the larger version of the map, the side length is 50% longer than the original map. This means the side length of the larger map is 12 inches + (50% * 12 inches) = 12 inches + 6 inches = 18 inches.

To determine the actual distance represented by 1 inch on the larger map, we can set up a proportion:

12 inches (original map) corresponds to 3600 feet (actual distance)

1 inch (larger map) corresponds to x feet (actual distance)

Using cross-multiplication, we find that x = (1 inch * 3600 feet) / 12 inches = 300 feet.

1 inch on the larger map represents an actual distance of 300 feet.

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Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{AB}{XY}[/tex] = [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]

[tex]\frac{AC}{XZ}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

[tex]\frac{BC}{YZ}[/tex] = [tex]\frac{15}{25}[/tex] = [tex]\frac{3}{5}[/tex]

(b)

Fourth statement is correct one.

Since the ratios of corresponding sides are all equal, then

Δ ABC and Δ XYZ are similar

Answer:

0.0000243

Step-by-step explanation:

Answer:

0.243

Multiply them and then write the answer in standard form