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3 years ago

Ten large marbles weigh as much as 14 small marbles. How many large marbles weigh as much as 35 small marbles?

2 answers:

7 0

10 is 14 marbles
so 5 is 7 marbles
now 10 is 14 marbles
20 is 28 marbles
we got how many is 28 marbles
we know 7 marbles is 5
we need more tahn 7
7 marbles is 5
we have 20
25 is 35 marbles
answer is 25

Paladinen [302]3 years ago

3 0

To get the answer we can use proportion
10 large ------------- 14 small
x large -------------- 35 small
crossmultiply
10*35=x*14
350=14x /:14
350:14=14x:14
25=x-its the answer

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4 years ago

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3 years ago

Please help?

Mazyrski [523]

Answer:

$23\sqrt{3}\ un^2$

Step-by-step explanation:

Connect points I and K, K and M, M and I.

1. Find the area of triangles IJK, KLM and MNI:

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2. Note that

$A_{\triangle IJK}=A_{\triangle IAK}=\dfrac{3\sqrt{3}}{2}\ un^2 \\ \\ \\A_{\triangle KLM}=A_{\triangle KAM}=4\sqrt{3}\ un^2 \\ \\ \\A_{\triangle MNI}=A_{\triangle MAI}=6\sqrt{3}\ un^2$

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

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Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.

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3 years ago

List the integers that satisfy both these inequality. 2x+9<0 x>-12

Ludmilka [50]

Answer:

Given:

2x + 9 < 0 ⇒ 2x < - 9 ⇒ x < - 4.5
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x ∈ {-11, -10, -9, -8, -7, -6, -5}

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3 years ago