What paces back and forth on the ocean floor

The ratio of boys to girls at the dance was 8 to 4. How many girls were at the dance if there were 88 boys at the dance?

nevsk [136]

88/8=11.

So multiply 4 by 11.

4x11=44

So the ratio is 88:44.

There are 44 girls at the dance

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hope it helps

5 0

3 years ago

Your job is to sort and sack marbles for sale. A bag contains 44 marbles, some red and some green. If there are 11 red marbles,

julia-pushkina [17]

Answer:

Option C is correct

The ratio of green to red marbles is, 3 : 1

Step-by-step explanation:

As per the statement:

A bag contains 44 marbles, some red and some green.

⇒Total marbles = 44

If there are 11 red marbles.

then;

Green marbles = Total marbles - red marbles.

Substitute the given values we have;

Green marbles = 44 - 11 = 33

We have to find the ratio of green to red marbles.

$\frac{\text{Green marbles}}{\text{Red marbles}} = \frac{33}{11} = \frac{3}{1} = 3 : 1$

Therefore, the ratio of green to red marbles is, 3 : 1

8 0

3 years ago

Evaluate 50 + 0.5 ×(41 - 32)

Zarrin [17]

To solve this expression, we need to follow the order of operations (BEDMAS)

50+0.5(41-32)
=50+0.5(9)
=50+4.5
=54.5

Your answer is 54.5

7 0

3 years ago

Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )

Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0

2 years ago

Read 2 more answers

Aidan has 20 ft of fence with which to build a rectangular dog run. What is the maximum area he can enclose?

butalik [34]

Assuming this Fence enclosment will be in the shape of a rectangle we will use the equation used to find the area of a rectangle, b×h=a

Using this formula we then must pick out factors used to create, in which the perimeter will add up to 20

·5,5,5,5 (25)
·8,2,8,2 (16)
·6,4,6,4 (24)

using this we can learn<span> that the maximum area that can be exclosed by this is 25, because the 2 perimiter lengths that define this rectangle would be 5 and 5.

</span>b(5)×h(5)=25(a)

therefore, your answer is 25 Units

-I hope this is the answer you are looking for feel free to post your questions here on brainly in the future

3 0

3 years ago