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Nonamiya [84]
1 year ago
9

Andrea and her friends love cake.Andrea has two cakes.each of her friends are going to eat 2/3 of a cake.How many servings of ca

ke does Andrea have?PLEASE I NEED HELP NOW!
Mathematics
2 answers:
Zepler [3.9K]1 year ago
7 0

Answer:

3

Step-by-step explanation:

Explanation:

Since everyone is going to eat 2/3 of a cake, we will picture the cake in elements of third. 1 cake = 3/3,

∴

2 cakes = 6/3. If every friend eats 2/3, then we need to divide the total amount of cake available by the size of serving.

bogdanovich [222]1 year ago
4 0

Answer:

1/3 of each cake

Step-by-step explanation:

2/3 is more then 1/2

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15 people shared 65 1/2 acres of land. How much did each get?
beks73 [17]

You need to divide 65 1/2 by 15.

65 \dfrac{1}{2} \div 15 =

= \dfrac{131}{2} \div \dfrac{15}{1}

= \dfrac{131}{2} \times \dfrac{1}{15}

= \dfrac{131 \times 1}{2 \times 15}

= \dfrac{131}{30}

= 4 \dfrac{11}{30}

Each one got 4 \dfrac{11}{30} acres.


3 0
3 years ago
Read 2 more answers
Help picture below problem 6
docker41 [41]

Answer:

g is 37

Step-by-step explanation:

supplementary means two angles that add up to 180°

180-143=37

8 0
2 years ago
An equilateral triangle has a side length of 6. What is the height of the triangle?
vlabodo [156]
Since the height of an equilateral triangle in terms of its side s is s√3/2, the height of the triangle is 6√3/2 = 3√3 and so the area is (1/2)(6)(3√3) = 9√3. 

<span>If we draw a horizontal line a height of h from the base of the triangle, the region is split into two regions: the lower region consisting of a trapezoid of height h and the upper region consisting of a triangle of height 3√3 - h. </span>

<span>Since the upper triangle and the triangle itself are similar triangles, the base and height are proportional. If we let x denote the base of the length of the upper triangle, we have: </span>

<span>(S. of small triangle)/(S. of big triangle) = (Ht. of small triangle)/(Ht. of big triangle) </span>
<span>==> x/6 = (3√3 - h)/(3√3) </span>
<span>==> x = (6√3 - 2h)/√3 </span>

<span>Thus, the area of the upper triangle is: </span>

<span>A = (1/2)[(6√3 - 2h)/√3](3√3 - h) = [(6√3 - 2h)(3√3 - h)]/(2√3). </span>
<span>(Made a dumb mistake about the height here for some reason) </span>

<span>Since we require that the area of this triangle is to be half of the total area (9√3/2), we need to solve: </span>

<span>[(6√3 - 2h)(3√3 - h)]/(2√3) = 9√3/2 </span>
<span>==> (6√3 - 2h)(3√3 - h) = 27 </span>
<span>==> 54 - 6h√3 - 6h√3 + 2h^2 = 27 </span>
<span>==> 2h^2 - 12h√3 + 27 = 0. </span>

<span>Solving with the Quadratic Formula gives: </span>

<span>h = (6√3 + 3√6)/2 ≈ 8.87 units and h = (6√3 - 3√6)/2 ≈ 1.52 units. </span>

<span>Since h = (6√3 + 3√6)/2 would place the line outside of the triangle, we pick h = (6√3 - 3√6)/2. </span>

<span>Therefore, the line should be ==> (6√3 - 3√6)/2 units from the base. </span>

<span>I hope this helps! ^^ Brainliest Please?</span><span>
</span>
5 0
3 years ago
Read 2 more answers
The depth of Nathan's binder is 2 5/12 inches. what is the measurement as a decimal?
masya89 [10]
Convert to improper fraction: 2 5/12 = 29/12
Divide 29 by 12: 29/12 = 2.42
 
2.42 inches
6 0
3 years ago
Two old RSM students were standing 10 ft apart when they spotted Mrs. Rifkin. If they immediately run in opposite directions at
Katena32 [7]

Answer:

6

Step-by-step explanation:

Seeing that the two students are running aside from

each other. We can add the speeds together.

We can also subtract 10 feet from our goal of 1870

they are already feet apart.

1870ft / (150+1650) ft per min

we are left with our answer 6

Hope this helps!

7 0
2 years ago
Read 2 more answers
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