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2 years ago

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Robert planted 12 daffodil bulbs and 18 tulip bulbs in his garden last winter. If all the bulbs sprout and bloom this spring, wh

at will be the ratio of tulips to daffodils in Robert's garden? Express as a simplified ratio.

1 answer:

ArbitrLikvidat [17]2 years ago

5 0

The ratio would start as 12/18. Since both are divisible by 6, it can be reduced to 2/3.

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r Flag For Review A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to h

Alex787 [66]

Answer:

$P = \frac{132000}{12}=11000$

So then P =11000 is the minimum that the least populated district could have.

Step-by-step explanation:

We have a big total of N = 132000 for the population.

And we know that we divide this population into 11 districts

And we have this info given "no district is to have a population that is more than 10 percent greater than the population of any other district"

Let's assume that P represent our minimum value for a district in the population. The range of possible values for the population of each district would be between P and 1.1 P

The interest on this case is find the minimum value for P and in order to do this we can assume that 1 district present the minimum and the other 10 the maximum value 1.1P in order to find which value of P satisfy this condition, and we have this:

$P + 10 (1.1P) = 12 P= 132000$

$P = \frac{132000}{12}=11000$

So then P =11000 is the minimum that the least populated district could have.

3 0

2 years ago

Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole

Art [367]

Answer:

a = 5 and b = 12

Step-by-step explanation:

<u>Step 1: Find angle B</u>

<em>Angle C = 90°</em>

<em>Angle A = 22.6°</em>

<em>Angle B = B</em>

<em>All angles in a triangle are equal to 180°.</em>

Angle A + Angle B + Angle C = 180°

22.6 + 90 + B = 180°

B = 180 - 112.6

B = 67.4°

<u>Step 2: Find the value of side AC 'b'</u>

<em>Hypotenuse = 13</em>

<em>Adjacent = b</em>

<em>Angle A = 22.6°</em>

Cos (Angle) = Adjacent/Hypotenuse

Cos (22.6) = b/13

b = 12

<u>Step 3: Find the value of side CB 'a'</u>

<em>Hypotenuse = 13</em>

<em>Opposite = a</em>

<em>Angle A = 22.6°</em>

Sin (angle) = Opposite/Hypotenuse

Sin (22.6°) = a/13

a = 4.99 rounded off to 5

Therefore, the value of a=5 and b=12.

!!

8 0

2 years ago

Read 2 more answers

Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o

AlekseyPX

Answer : 96

x – y = 16 --------> equation 1

$\frac{1}{8} x +\frac{1}{2} y = 52$

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

$\frac{1}{8} x +\frac{1}{2} ( -16 + x ) = 52$

$\frac{1}{8} x - 8 + \frac{1}{2} x = 52$

$\frac{1}{8} x + \frac{1}{2} x - 8 = 52$

Take common denominator to combine fractions

$\frac{1}{8} x + \frac{4}{8} x -8 = 52$

$\frac{5}{8} x - 8 = 52$

Add 8 on both sides

$\frac{5}{8} x = 60$

Multiply both sides by $\frac{8}{5}$

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

6 0

2 years ago

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(Geometry Question) A sledding run is 300 yards long with a vertical drop of 27.6 yards. Find the angle of depression of the run

atroni [7]

Answer:

5.28°

Step-by-step explanation:

Draw the triangle formed by the sledding run. The hypotenuse is 300. The height is 27.6. The angle of depression is opposite of the height.

Using sine:

sin θ = 27.6 / 300

sin θ = 0.092

θ = 5.28°

8 0

2 years ago

For the new year, the instructor is thinking of changing his rates. The equation of the possible new rates is represented in the

Shtirlitz [24]

Answer:

(0,8)

Step-by-step explanation:

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8 0

2 years ago

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