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4vir4ik [10]
3 years ago
13

Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people

are going on the camping trip. Can zoey make enough 3/4 cup servings so that each person on the trip has on serving?
Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = 6\frac{1}{2}

Amount of one serving contains = \frac{3}{4} cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}

Therefore, total number of servings available as per the given quantities:

\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

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Is πxy=4 a linear equation?
Darya [45]

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

3 0
2 years ago
Find the area of the composite shape below<br> help me
Ivenika [448]

Answer:

743.13

Step-by-step explanation:

area of the rectangle is 33x11 which is 363 and there are two equal half circles so we can just pretend they are connected so the radius is 11 A=pi times radius^{2} which is 380.13 then add both of them and you get 743.13

8 0
2 years ago
I have three times as many cats as Alice but Bob has 7 less cats than me. In total we have 56 cats. How many cats do I have?
Nookie1986 [14]

The number of cats that you have is; 27 cats

<h3>How to calculate algebra word problems?</h3>

Let the number of cats alice has be x.

Since you have thrice the amount of cats that alice has, then you have 3x cats.

Bob has 7 less cats than you. Thus, bob has; 3x - 7

If they have a total of 56 cats, then;

x + 3x - 7 + 3x = 56

7x - 7 = 56

7x = 56 + 7

7x = 63

x = 63/7

x = 9

Thus, number of cats you have = 3x = 3 * 9 = 27 cats

Read more on algebra word problems at; brainly.com/question/13818690

4 0
2 years ago
Does anyone know the answer to this? Algebra 2
natulia [17]

Answer:

Step-by-step explanation:

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

If, sinθ = -\frac{1}{2} and π < θ < \frac{3\pi }{2}

Since, sinθ is negative, angle θ will be in IIIrd quadrant.

And the measure of angle θ will be (180° + 30°)

θ = 210°

It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.

Therefore, cos(210°) = -\frac{\sqrt{3} }{2}

tan(210°) = \frac{1}{\sqrt{3} }

csc(210°) = -\frac{1}{2}

sec(210°) = -\frac{2}{\sqrt{3} }

cot(210°) = √3

3 0
3 years ago
Please help me i’ve tried so many of these and i can’t figure out how to do it
zheka24 [161]

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

V_{A} = π × 10² × 11 = 1100π ft³

V_{B} = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

\frac{left}{full} × 100%

= \frac{169\pi }{1100\pi } × 100%

= \frac{169}{1100} × 100%

= 15.4% ( to the nearest tenth )

6 0
3 years ago
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