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ikadub [295]
3 years ago
12

The average weight of David, Esther, and Henry is 42.6 kg. Esther is twice as heavy as Henry. David is 5.2 kilograms lighter tha

n Esther, what is Esther's weight?
Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

  53.2 kg

Step-by-step explanation:

Let E represent Esther's weight. Then Henry's weight is E/2, and David's weight is E-5.2. Their average weight is ...

  ((E-5.2) + E + (E/2))/3 = 42.6

  2.5E -5.2 = 127.8 . . . . . . . . . . multiply by 3, simplify

  2.5E = 133 . . . . . . . . . . . . . . . . add 5.2

  E = 133/2.5 = 53.2 . . . . kg

Esther's weight is 53.2 kg.

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A drumstick ice cream cone is 4 inches in diameter and has a height of 7 inches and filled with ice cream. The cone also has a s
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Answer:

48.7 cube inches

Step-by-step explanation:

Let us assume that the ice cream filled the entire volume of the cone.

Diameter of cone = 4 inches

height of cone = 7 inches

diameter of a sphere of ice cream = 5 inches

Total amount of ice cream = volume of cone + volume of sphere

volume of cone = \frac{1}{3}\pir^{2}h

r = \frac{diameter}{2}

  = \frac{4}{2} = 2 inches

volume of the cone = \frac{1}{3} x \frac{22}{7} x 2 ^{2} x 7

                           = \frac{1}{3} x \frac{22}{7} x 4 x 7

                           = 29.3333 cube inches

volume of sphere = \frac{4}{3} \pir^{3}

r = \frac{diameter}{2}

  = \frac{5}{2} = 2.5 inches

volume of sphere ice cream = \frac{4}{3} x \frac{22}{7} x (\frac{5}{2} )^{3}

                                   =  \frac{4}{3} x \frac{22}{7} x \frac{125}{27}

                                   = 19.40 cube inches

So that,

Total amount of ice cream = 29.33 + 19.40

                                   = 48.7 cube inches

7 0
3 years ago
Javier bought a 20 ounce smoothie that contains 450 total calories. How many calories does the smoothie contain per ounce
Aliun [14]
450/20=22.5 calories per ounce
7 0
3 years ago
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Highest common factor of 92 and 42
GarryVolchara [31]
To get the Greates Common Factor (GCF) of 92 and 42 we need to factor each value first and then we choose all the copies of factors and multiply them: 

<span><span>92:   22  23</span><span>42:   2 37 </span><span>GCF:   2    </span></span>

The Greates Common Factor (GCF) is:   2

 

<span>You can always share this solution</span>
8 0
3 years ago
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Eric has challenged himself to walk 24,000 steps in 4 days. If Eric walks the same number of steps each day, which function repr
Alborosie
If Eric wanted to walk 24,000 steps in 4 days, he would have to walk 6,000 steps each day (24/4=6). The correct answer would be the bottom answer as saying he has already walked 2 days it would be (y=-6,000(2)+24,000) this would simply out to (y=-12,000+24,000) and then (y=12,000). 
4 0
3 years ago
Find the volume of the triangular prism to the right
tigry1 [53]

Answer:

V = 567 ft³

Step-by-step explanation:

V = Bh

<em>[note: a capital 'B' represents the </em><em>area</em><em> of the base] </em>

<em />

The right triangle is the triangular prism's base.

Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.

  • We can identify the base easily because the base and the top of the prism are exactly the same shape

Area of triangular base:

 A = \frac{bh}{2}

 A = \frac{1}{2} (9 ⋅ 9)

 A = \frac{1}{2} (81)

 A = 40.5

We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.

Volume of triangular prism:

 V = Bh

 V = (40.5)(14)

 V = 567 ft³

3 0
3 years ago
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